% --------------------------- % Bibliography Reference Bank % --- SPDEs-Bib % --------------------------- % Author: chenle02 (Le Chen) % Emails: chenle02 AT gmail.com % le.chen AT auburn.edu % Github: https://github.com/chenle02/SPDEs-Bib.git % Commit: 279df273e9f3eac0b6427cfe39f1827d0decb339 % Zenodo: https://zenodo.org/records/10143431 % DOI: 10.5281/zenodo.10143431 % Date: 2026-01-21 % --------------------------- % --------------------------- % % Hope you find this bibliography bank useful. % % If you need include more entries, please contact me via email or start an % issue from the github repo page. % % This bibliography file -- All.bib -- is licensed under the Creative Commons % Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) license. You are free % to share and adapt the contents of this file as long as you give appropriate % credit and distribute any derivative works under the same license. % % --------------------------- @Book{ aaronson:97:introduction, author = {Aaronson, Jon}, title = {An introduction to infinite ergodic theory}, series = {Mathematical Surveys and Monographs}, volume = {50}, publisher = {American Mathematical Society, Providence, RI}, year = {1997}, pages = {xii+284}, isbn = {0-8218-0494-4}, mrclass = {28Dxx (58F11 58F17)}, mrnumber = {1450400}, mrreviewer = {Cesar E. Silva}, doi = {10.1090/surv/050}, url = {https://doi.org/10.1090/surv/050} } @Article{ abdesselam:07:complete, author = {Abdesselam, Abdelmalek}, title = {A complete renormalization group trajectory between two fixed points}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {276}, year = {2007}, number = {3}, pages = {727--772}, issn = {0010-3616}, mrclass = {81T17 (81T08)}, mrnumber = {2350436}, mrreviewer = {A. L. Rebenko}, doi = {10.1007/s00220-007-0352-x}, url = {https://doi.org/10.1007/s00220-007-0352-x} } @Article{ abdulle.cohen.ea:12:high, author = {Abdulle, Assyr and Cohen, David and Vilmart, Gilles and Zygalakis, Konstantinos C.}, title = {High weak order methods for stochastic differential equations based on modified equations}, journal = {SIAM J. Sci. Comput.}, fjournal = {SIAM Journal on Scientific Computing}, volume = {34}, year = {2012}, number = {3}, pages = {A1800--A1823}, issn = {1064-8275,1095-7197}, mrclass = {65C30 (60H35)}, mrnumber = {2970274}, mrreviewer = {Tommi\ P.\ Sottinen}, doi = {10.1137/110846609}, url = {https://doi.org/10.1137/110846609} } @Book{ ablowitz.fokas:03:complex, author = {Ablowitz, Mark J. and Fokas, Athanassios S.}, title = {Complex variables: introduction and applications}, series = {Cambridge Texts in Applied Mathematics}, edition = {Second}, publisher = {Cambridge University Press, Cambridge}, year = {2003}, pages = {xii+647}, isbn = {0-521-53429-1}, mrclass = {30-01}, mrnumber = {1989049}, doi = {10.1017/CBO9780511791246}, url = {https://doi.org/10.1017/CBO9780511791246} } @Article{ abraham.le-gall:94:sur, author = {Abraham, Romain and Le Gall, Jean-Fran\c{c}ois}, title = {Sur la mesure de sortie du super mouvement brownien}, journal = {Probab. Theory Related Fields}, fjournal = {Probability Theory and Related Fields}, volume = {99}, year = {1994}, number = {2}, pages = {251--275}, issn = {0178-8051}, mrclass = {60G57 (35J60 60G17 60H30)}, mrnumber = {1278885}, mrreviewer = {Steven N. Evans}, doi = {10.1007/BF01199025}, url = {https://doi.org/10.1007/BF01199025} } @Book{ abramowitz.stegun:64:handbook, author = {Abramowitz, Milton and Stegun, Irene A.}, title = {Handbook of mathematical functions with formulas, graphs, and mathematical tables}, series = {National Bureau of Standards Applied Mathematics Series, No. 55}, note = {For sale by the Superintendent of Documents}, publisher = {U. S. Government Printing Office, Washington, D.C.}, year = {1964}, pages = {xiv+1046}, mrclass = {33.00 (65.05)}, mrnumber = {0167642}, mrreviewer = {D. H. Lehmer} } @Book{ abramowitz.stegun:66:handbook, title = {Handbook of mathematical functions, with formulas, graphs and mathematical tables}, series = {National Bureau of Standards Applied Mathematics Series, No. 55}, author = {Abramowitz, Milton and Stegun, Irene A.}, note = {Fifth printing, with corrections, National Bureau of Standards, Washington, D.C., (for sale by the Superintendent of Documents)}, publisher = {U. S. Government Printing Office, Washington, DC}, year = {1966}, pages = {xiv+1046}, mrclass = {65.05 (00.20)}, mrnumber = {208798} } @Book{ abramowitz:65:handbook, title = {Handbook of mathematical functions, with formulas, graphs, and mathematical tables}, series = {National Bureau of Standards Applied Mathematics Series, No. 55}, author = {Abramowitz, Milton}, note = {Superintendent of Documents}, publisher = {U. S. Government Printing Office, Washington, D.C.}, year = {1965}, pages = {xiv+1046}, mrclass = {33.00}, mrnumber = {0177136} } @Article{ abu-shammala.torchinsky:07:hardy-lorentz, author = {Abu-Shammala, Wael and Torchinsky, Alberto}, title = {The {H}ardy-{L}orentz spaces {$H^{p,q}(\Bbb R^n)$}}, journal = {Studia Math.}, fjournal = {Studia Mathematica}, volume = {182}, year = {2007}, number = {3}, pages = {283--294}, issn = {0039-3223}, mrclass = {46E30 (42B30 42B35)}, mrnumber = {2360632}, mrreviewer = {Oscar Blasco}, doi = {10.4064/sm182-3-7}, url = {https://doi.org/10.4064/sm182-3-7} } @Article{ acosta.chen:98:moderate, author = {de Acosta, A. and Chen, Xia}, title = {Moderate deviations for empirical measures of {M}arkov chains: upper bounds}, journal = {J. Theoret. Probab.}, fjournal = {Journal of Theoretical Probability}, volume = {11}, year = {1998}, number = {4}, pages = {1075--1110}, issn = {0894-9840}, mrclass = {60F10 (60J10)}, mrnumber = {1660920}, mrreviewer = {Miguel A. Arcones}, doi = {10.1023/A:1022673000778}, url = {https://doi.org/10.1023/A:1022673000778} } @Article{ acquistapace.flandoli.ea:91:initial-boundary, author = {Acquistapace, P. and Flandoli, F. and Terreni, B.}, title = {Initial-boundary value problems and optimal control for nonautonomous parabolic systems}, journal = {SIAM J. Control Optim.}, fjournal = {SIAM Journal on Control and Optimization}, volume = {29}, year = {1991}, number = {1}, pages = {89--118}, issn = {0363-0129}, mrclass = {49K20 (34H05 35B37 47D06 47N70 93C20)}, mrnumber = {1088221}, mrreviewer = {J.\ P.\ Babary}, doi = {10.1137/0329005}, url = {https://doi.org/10.1137/0329005} } @Book{ adams.fournier:03:sobolev, author = {Adams, Robert A. and Fournier, John J. F.}, title = {Sobolev spaces}, series = {Pure and Applied Mathematics (Amsterdam)}, volume = {140}, edition = {Second}, publisher = {Elsevier/Academic Press, Amsterdam}, year = {2003}, pages = {xiv+305}, isbn = {0-12-044143-8}, mrclass = {46E35 (46-01 46-02 46B70 46Exx)}, mrnumber = {2424078} } @Book{ adams.hedberg:96:function, author = {Adams, David R. and Hedberg, Lars Inge}, title = {Function spaces and potential theory}, series = {Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]}, volume = {314}, publisher = {Springer-Verlag, Berlin}, year = {1996}, pages = {xii+366}, isbn = {3-540-57060-8}, mrclass = {46E35 (31B99 46N20)}, mrnumber = {1411441}, mrreviewer = {Takahide Kurokawa}, doi = {10.1007/978-3-662-03282-4}, url = {https://doi.org/10.1007/978-3-662-03282-4} } @Book{ adams:75:sobolev, author = {Adams, Robert A.}, title = {Sobolev spaces}, series = {Pure and Applied Mathematics, Vol. 65}, publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London}, year = {1975}, pages = {xviii+268}, mrclass = {46E35}, mrnumber = {0450957}, mrreviewer = {A. Kufner} } @Article{ adler.moerbeke:05:pdes, author = {Adler, Mark and van Moerbeke, Pierre}, title = {P{DE}s for the joint distributions of the {D}yson, {A}iry and sine processes}, journal = {Ann. Probab.}, fjournal = {The Annals of Probability}, volume = {33}, year = {2005}, number = {4}, pages = {1326--1361}, issn = {0091-1798}, mrclass = {60J65 (35K10 60G10)}, mrnumber = {2150191}, mrreviewer = {Jos\'{e} Rafael Le\'{o}n}, doi = {10.1214/009117905000000107}, url = {https://doi.org/10.1214/009117905000000107} } @Book{ adler.taylor.ea:07:applications, title = {Applications of random fields and geometry: Foundations and case studies}, author = {Adler, Robert J and Taylor, Jonathan E and Worsley, Keith J and Worsley, Keith}, booktitle = {In preparation, available on R. Adler's home}, year = {2007}, organization = {Citeseer} } @Book{ adler.taylor:07:random, author = {Adler, Robert J. and Taylor, Jonathan E.}, title = {Random fields and geometry}, series = {Springer Monographs in Mathematics}, publisher = {Springer, New York}, year = {2007}, pages = {xviii+448}, isbn = {978-0-387-48112-8}, mrclass = {60G60 (58J65)}, mrnumber = {2319516}, mrreviewer = {Jos\'{e} Rafael Le\'{o}n} } @InCollection{ adler:11:spectral, author = {Adler, Mark}, title = {Spectral statistics of orthogonal and symplectic ensembles}, booktitle = {The {O}xford handbook of random matrix theory}, pages = {86--102}, publisher = {Oxford Univ. Press, Oxford}, year = {2011}, mrclass = {60B20 (15B52 33C45)}, mrnumber = {2932625}, mrreviewer = {Nizar Demni} } @Article{ adler:77:hausdorff, author = {Adler, Robert J.}, title = {Hausdorff dimension and {G}aussian fields}, journal = {Ann. Probability}, fjournal = {The Annals of Probability}, volume = {5}, year = {1977}, number = {1}, pages = {145--151}, issn = {0091-1798}, mrclass = {60G17}, mrnumber = {426123}, mrreviewer = {Simeon M. Berman}, doi = {10.1214/aop/1176995900}, url = {https://doi.org/10.1214/aop/1176995900} } @Book{ adler:90:introduction, author = {Adler, Robert J.}, title = {An introduction to continuity, extrema, and related topics for general {G}aussian processes}, series = {Institute of Mathematical Statistics Lecture Notes---Monograph Series}, volume = {12}, publisher = {Institute of Mathematical Statistics, Hayward, CA}, year = {1990}, pages = {x+160}, isbn = {0-940600-17-X}, mrclass = {60G15 (60G17)}, mrnumber = {1088478}, mrreviewer = {Simeon M. Berman} } @Article{ adolfsson.jerison:94:lp-integrability, author = {Adolfsson, Vilhelm and Jerison, David}, title = {{$L^p$}-integrability of the second order derivatives for the {N}eumann problem in convex domains}, journal = {Indiana Univ. Math. J.}, fjournal = {Indiana University Mathematics Journal}, volume = {43}, year = {1994}, number = {4}, pages = {1123--1138}, issn = {0022-2518}, mrclass = {35J25 (35B65 46E15)}, mrnumber = {1322613}, mrreviewer = {Ji\v{r}\'{i} R\'{a}kosn\'{i}k}, doi = {10.1512/iumj.1994.43.43049}, url = {https://doi.org/10.1512/iumj.1994.43.43049} } @Article{ adolfsson:92:l2-integrability, author = {Adolfsson, Vilhelm}, title = {{$L^2$}-integrability of second-order derivatives for {P}oisson's equation in nonsmooth domains}, journal = {Math. Scand.}, fjournal = {Mathematica Scandinavica}, volume = {70}, year = {1992}, number = {1}, pages = {146--160}, issn = {0025-5521}, mrclass = {35J05}, mrnumber = {1174208}, mrreviewer = {Neil A. Watson}, doi = {10.7146/math.scand.a-12391}, url = {https://doi.org/10.7146/math.scand.a-12391} } @Article{ adolfsson:93:lp-integrability, author = {Adolfsson, Vilhelm}, title = {{$L^p$}-integrability of the second order derivatives of {G}reen potentials in convex domains}, journal = {Pacific J. Math.}, fjournal = {Pacific Journal of Mathematics}, volume = {159}, year = {1993}, number = {2}, pages = {201--225}, issn = {0030-8730}, mrclass = {35B45 (35J05)}, mrnumber = {1214070}, mrreviewer = {Yehuda Pinchover}, url = {http://projecteuclid.org/euclid.pjm/1102634261} } @InCollection{ afraimovich.chow.ea:96:hyperbolic, author = {Afraimovich, V. S. and Chow, Shui-Nee and Shen, Wenxian}, title = {Hyperbolic homoclinic points of {${\bf Z}^d$}-actions in lattice dynamical systems}, note = {Nonlinear dynamics, bifurcations and chaotic behavior}, journal = {Internat. J. Bifur. Chaos Appl. Sci. Engrg.}, fjournal = {International Journal of Bifurcation and Chaos in Applied Sciences and Engineering}, volume = {6}, year = {1996}, number = {6}, pages = {1059--1075}, issn = {0218-1274,1793-6551}, mrclass = {58F15 (58F13 58F39 82C05)}, mrnumber = {1409410}, mrreviewer = {Volker\ Matthias\ Gundlach}, doi = {10.1142/S0218127496000576}, url = {https://doi.org/10.1142/S0218127496000576} } @Book{ agarwal.lakshmikantham:93:uniqueness, author = {Agarwal, R. P. and Lakshmikantham, V.}, title = {Uniqueness and nonuniqueness criteria for ordinary differential equations}, series = {Series in Real Analysis}, volume = {6}, publisher = {World Scientific Publishing Co., Inc., River Edge, NJ}, year = {1993}, pages = {xii+312}, isbn = {981-02-1357-3}, mrclass = {34-02 (34A12 34G20 34K05)}, mrnumber = {1336820}, mrreviewer = {J\'{o}zef Bana\'{s}}, doi = {10.1142/1988}, url = {https://doi.org/10.1142/1988} } @Article{ agazzi.mattingly:20:seemingly, author = {Agazzi, Andrea and Mattingly, Jonathan C.}, title = {Seemingly stable chemical kinetics can be stable, marginally stable, or unstable}, journal = {Commun. Math. Sci.}, fjournal = {Communications in Mathematical Sciences}, volume = {18}, year = {2020}, number = {6}, pages = {1605--1642}, issn = {1539-6746,1945-0796}, mrclass = {60G52 (60J76 92E20)}, mrnumber = {4176352}, doi = {10.4310/CMS.2020.v18.n6.a5}, url = {https://doi.org/10.4310/CMS.2020.v18.n6.a5} } @Article{ aggarwal.corwin.ea:23:asep, author = {Aggarwal, Amol and Corwin, Ivan and Ghosal, Promit}, title = {The {ASEP} speed process}, journal = {Adv. Math.}, fjournal = {Advances in Mathematics}, volume = {422}, year = {2023}, pages = {Paper No. 109004, 57}, issn = {0001-8708}, mrclass = {60K35}, mrnumber = {4576839}, mrreviewer = {Florent Benaych-Georges}, doi = {10.1016/j.aim.2023.109004}, url = {https://doi.org/10.1016/j.aim.2023.109004} } @Article{ agmon.douglis.ea:59:estimates, author = {Agmon, S. and Douglis, A. and Nirenberg, L.}, title = {Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. {I}}, journal = {Comm. Pure Appl. Math.}, fjournal = {Communications on Pure and Applied Mathematics}, volume = {12}, year = {1959}, pages = {623--727}, issn = {0010-3640}, mrclass = {35.43}, mrnumber = {125307}, mrreviewer = {E. Magenes}, doi = {10.1002/cpa.3160120405}, url = {https://doi.org/10.1002/cpa.3160120405} } @Book{ agmon:65:lectures, author = {Agmon, Shmuel}, title = {Lectures on elliptic boundary value problems}, series = {Van Nostrand Mathematical Studies, No. 2}, note = {Prepared for publication by B. Frank Jones, Jr. with the assistance of George W. Batten, Jr.}, publisher = {D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London}, year = {1965}, pages = {v+291}, mrclass = {35.45 (35.80)}, mrnumber = {0178246}, mrreviewer = {J. Friberg} } @Article{ agram.hu.ea:22:mean-field, author = {Agram, Nacira and Hu, Yaozhong and {\O}ksendal, Bernt}, title = {Mean-field backward stochastic differential equations and applications}, journal = {Systems Control Lett.}, fjournal = {Systems \& Control Letters}, volume = {162}, year = {2022}, pages = {Paper No. 105196, 7}, issn = {0167-6911,1872-7956}, mrclass = {60H10 (49N80 91G80 93E20)}, mrnumber = {4400089}, doi = {10.1016/j.sysconle.2022.105196}, url = {https://doi.org/10.1016/j.sysconle.2022.105196} } @Article{ agrawal.hu.ea:20:general, author = {Agrawal, Nishant and Hu, Yaozhong and Sharma, Neha}, title = {General product formula of multiple integrals of {L}\'{e}vy process}, journal = {J. Stoch. Anal.}, fjournal = {Journal of Stochastic Analysis. JOSA}, volume = {1}, year = {2020}, number = {3}, pages = {Art. 3, 12}, mrclass = {60H05 (60G51 60H30)}, mrnumber = {4143962}, mrreviewer = {Omar Mellah} } @InCollection{ agrawal:02:solution, author = {Agrawal, Om P.}, title = {Solution for a fractional diffusion-wave equation defined in a bounded domain}, note = {Fractional order calculus and its applications}, journal = {Nonlinear Dynam.}, fjournal = {Nonlinear Dynamics. An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems}, volume = {29}, year = {2002}, number = {1-4}, pages = {145--155}, issn = {0924-090X}, mrclass = {35R10 (35A22 35C10 35L05)}, mrnumber = {1926471}, doi = {10.1023/A:1016539022492}, url = {https://doi.org/10.1023/A:1016539022492} } @Article{ agresti.lindemulder.ea:23:on, author = {Agresti, Antonio and Lindemulder, Nick and Veraar, Mark}, title = {On the trace embedding and its applications to evolution equations}, journal = {Math. Nachr.}, fjournal = {Mathematische Nachrichten}, volume = {296}, year = {2023}, number = {4}, pages = {1319--1350}, issn = {0025-584X,1522-2616}, mrclass = {46E35 (35B65 35K90 47D06 60H15)}, mrnumber = {4604539}, mrreviewer = {Yoichi\ Miyazaki}, doi = {10.1002/mana.202100192}, url = {https://doi.org/10.1002/mana.202100192} } @Article{ agresti.veraar:20:stability, author = {Agresti, Antonio and Veraar, Mark}, title = {Stability properties of stochastic maximal {$L^p$}-regularity}, journal = {J. Math. Anal. Appl.}, fjournal = {Journal of Mathematical Analysis and Applications}, volume = {482}, year = {2020}, number = {2}, pages = {123553, 35}, issn = {0022-247X,1096-0813}, mrclass = {60H15 (35B35 35R60 60B11)}, mrnumber = {4016507}, mrreviewer = {Jiang\ Lun\ Wu}, doi = {10.1016/j.jmaa.2019.123553}, url = {https://doi.org/10.1016/j.jmaa.2019.123553} } @Article{ agresti.veraar:22:nonlinear, author = {Agresti, Antonio and Veraar, Mark}, title = {Nonlinear parabolic stochastic evolution equations in critical spaces part {I}. {S}tochastic maximal regularity and local existence}, journal = {Nonlinearity}, fjournal = {Nonlinearity}, volume = {35}, year = {2022}, number = {8}, pages = {4100--4210}, issn = {0951-7715,1361-6544}, mrclass = {60H15 (35K59 35R60 42B37 47D06)}, mrnumber = {4459102}, doi = {10.1088/1361-6544/abd613}, url = {https://doi.org/10.1088/1361-6544/abd613} } @Article{ agresti.veraar:22:nonlinear*1, author = {Agresti, Antonio and Veraar, Mark}, title = {Nonlinear parabolic stochastic evolution equations in critical spaces part {II}: {B}low-up criteria and instataneous regularization}, journal = {J. Evol. Equ.}, fjournal = {Journal of Evolution Equations}, volume = {22}, year = {2022}, number = {2}, pages = {Paper No. 56, 96}, issn = {1424-3199,1424-3202}, mrclass = {35R60 (35K59 60H15)}, mrnumber = {4437443}, mrreviewer = {Le\ Chen}, doi = {10.1007/s00028-022-00786-7}, url = {https://doi.org/10.1007/s00028-022-00786-7} } @Article{ agresti.veraar:23:reaction-diffusion, author = {Agresti, Antonio and Veraar, Mark}, title = {Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity}, journal = {J. Differential Equations}, fjournal = {Journal of Differential Equations}, volume = {368}, year = {2023}, pages = {247--300}, issn = {0022-0396,1090-2732}, mrclass = {60H15 (35A01 35B44 35B65 35K57 35K90 35R60 58D25)}, mrnumber = {4598499}, doi = {10.1016/j.jde.2023.05.038}, url = {https://doi.org/10.1016/j.jde.2023.05.038} } @Article{ agresti.veraar:24:reaction-diffusion, author = {Agresti, Antonio and Veraar, Mark}, title = {Reaction-diffusion equations with transport noise and critical superlinear diffusion: global well-posedness of weakly dissipative systems}, journal = {SIAM J. Math. Anal.}, fjournal = {SIAM Journal on Mathematical Analysis}, volume = {56}, year = {2024}, number = {4}, pages = {4870--4927}, issn = {0036-1410}, mrclass = {35K57 (35B30 35B40 35B65 35R60 60H15)}, mrnumber = {4770384}, doi = {10.1137/23M1562482}, url = {https://doi.org/10.1137/23M1562482} } @Article{ agresti.veraar:25:nonlinear, title = {Nonlinear SPDEs and Maximal Regularity: An Extended Survey}, author = {Antonio Agresti and Mark Veraar}, year = {2025}, month = {January}, journal = {Preprint arXiv:2501.18561}, url = {http://arXiv.org/abs/2501.18561} } @Article{ agresti:24:delayed, author = {Agresti, Antonio}, title = {Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations}, journal = {Stoch. Partial Differ. Equ. Anal. Comput.}, fjournal = {Stochastics and Partial Differential Equations. Analysis and Computations}, volume = {12}, year = {2024}, number = {3}, pages = {1907--1981}, issn = {2194-0401}, mrclass = {60H15 (35B44 35B65 35D35 35K57 35R60 60H50)}, mrnumber = {4781799}, mrreviewer = {Jiang Lun Wu}, doi = {10.1007/s40072-023-00319-4}, url = {https://doi.org/10.1007/s40072-023-00319-4} } @Article{ aguirre.escobedo:86:cauchy, author = {Aguirre, J. and Escobedo, M.}, title = {A {C}auchy problem for {$u_t-\Delta u=u^p$} with {$0
2.0.CO;2-O&origin=MSN}
}
@InCollection{ alabert.nualart:92:some,
author = {Alabert, Aureli and Nualart, David},
title = {Some remarks on the conditional independence and the
{M}arkov property},
booktitle = {Stochastic analysis and related topics ({S}ilivri, 1990)},
series = {Progr. Probab.},
volume = {31},
pages = {343--363},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1992},
mrclass = {60H10 (60J25)},
mrnumber = {1203381},
mrreviewer = {Daniel Ocone}
}
@Article{ alabert.nualart:97:second-order,
author = {Alabert, Aureli and Nualart, David},
title = {A second-order {S}tratonovich differential equation with
boundary conditions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {68},
year = {1997},
number = {1},
pages = {21--47},
issn = {0304-4149},
mrclass = {60H10 (60H07)},
mrnumber = {1454577},
mrreviewer = {Marco Ferrante},
doi = {10.1016/S0304-4149(97)00021-5},
url = {https://doi.org/10.1016/S0304-4149(97)00021-5}
}
@Article{ alama.deift.ea:89:eigenvalue,
author = {Alama, Stanley and Deift, Percy A. and Hempel, Rainer},
title = {Eigenvalue branches of the {S}chr\"odinger operator
{$H-\lambda W$} in a gap of {$\sigma(H)$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {121},
year = {1989},
number = {2},
pages = {291--321},
issn = {0010-3616,1432-0916},
mrclass = {35J10 (35P20 47A10 47F05 81C12)},
mrnumber = {985401},
mrreviewer = {B.\ Hellwig},
url = {http://projecteuclid.org/euclid.cmp/1104178069}
}
@Article{ alberts.janjigian.ea:22:greens,
title = {The Green's function of the parabolic Anderson model and
the continuum directed polymer},
author = {Tom Alberts and Christopher Janjigian and Firas
Rassoul-Agha and Timo Sepp\"al\"ainen},
year = {2022},
month = {August},
journal = {Preprint arXiv:2208.11255},
url = {http://arXiv.org/abs/2208.11255}
}
@Article{ alberts.khanin.ea:14:continuum,
author = {Alberts, Tom and Khanin, Konstantin and Quastel, Jeremy},
title = {The continuum directed random polymer},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {154},
year = {2014},
number = {1-2},
pages = {305--326},
issn = {0022-4715},
mrclass = {82D60},
mrnumber = {3162542},
doi = {10.1007/s10955-013-0872-z},
url = {https://doi.org/10.1007/s10955-013-0872-z}
}
@Article{ alberts.khanin.ea:14:intermediate,
author = {Alberts, Tom and Khanin, Konstantin and Quastel, Jeremy},
title = {The intermediate disorder regime for directed polymers in
dimension {$1+1$}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {3},
pages = {1212--1256},
issn = {0091-1798},
mrclass = {60F05 (60K37 82D10)},
mrnumber = {3189070},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves},
doi = {10.1214/13-AOP858},
url = {https://doi.org/10.1214/13-AOP858}
}
@Article{ alberts.sheffield:08:hausdorff,
author = {Alberts, Tom and Sheffield, Scott},
title = {Hausdorff dimension of the {SLE} curve intersected with
the real line},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
pages = {no. 40, 1166--1188},
mrclass = {60D05 (28A78 60K35)},
mrnumber = {2430703},
mrreviewer = {Dmitry Beliaev},
doi = {10.1214/EJP.v13-515},
url = {https://doi.org/10.1214/EJP.v13-515}
}
@Article{ albeverio.brzezniak.ea:95:fundamental,
author = {Albeverio, S. and Brze\'{z}niak, Z. and D\polhk abrowski,
L.},
title = {Fundamental solution of the heat and {S}chr\"{o}dinger
equations with point interaction},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {130},
year = {1995},
number = {1},
pages = {220--254},
issn = {0022-1236},
mrclass = {35J10 (35K05 35P05 47F05 47N50 81Q10)},
mrnumber = {1331982},
mrreviewer = {Denise Huet},
doi = {10.1006/jfan.1995.1068},
url = {https://doi.org/10.1006/jfan.1995.1068}
}
@Book{ albeverio.gesztesy.ea:05:solvable,
author = {Albeverio, S. and Gesztesy, F. and H\o egh-Krohn, R. and
Holden, H.},
title = {Solvable models in quantum mechanics},
edition = {Second},
note = {With an appendix by Pavel Exner},
publisher = {AMS Chelsea Publishing, Providence, RI},
year = {2005},
pages = {xiv+488},
isbn = {0-8218-3624-2},
mrclass = {81-02 (47N50 81Q10 81U05 81U15)},
mrnumber = {2105735},
doi = {10.1090/chel/350},
url = {https://doi.org/10.1090/chel/350}
}
@Article{ albeverio.haba.ea:01:two-space,
author = {Albeverio, Sergio and Haba, Zbignew and Russo, Francesco},
title = {A two-space dimensional semilinear heat equation perturbed
by ({G}aussian) white noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {121},
year = {2001},
number = {3},
pages = {319--366},
issn = {0178-8051},
mrclass = {60H15 (35B20 35K05 35R60 60H40)},
mrnumber = {1867426},
mrreviewer = {Jean-Pierre Fouque},
doi = {10.1007/s004400100153},
url = {https://doi.org/10.1007/s004400100153}
}
@Article{ albeverio.hu.ea:97:remark,
author = {Albeverio, Sergio and Hu, Yaozhong and Zhou, Xian Yin},
title = {A remark on non-smoothness of the self-intersection local
time of planar {B}rownian motion},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {32},
year = {1997},
number = {1},
pages = {57--65},
issn = {0167-7152},
mrclass = {60J65 (60J55)},
mrnumber = {1439497},
mrreviewer = {A. N. Al-Hussaini},
doi = {10.1016/S0167-7152(96)00056-9},
url = {https://doi.org/10.1016/S0167-7152(96)00056-9}
}
@Article{ albeverio.hu.ea:99:stochastic,
author = {Albeverio, S. and Hu, Y.-Z. and R\"{o}ckner, M. and Zhou,
X. Y.},
title = {Stochastic quantization of the two-dimensional polymer
measure},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {40},
year = {1999},
number = {3},
pages = {341--354},
issn = {0095-4616},
mrclass = {60J60 (31C25 60H30)},
mrnumber = {1709327},
mrreviewer = {Zhi Ming Ma},
doi = {10.1007/s002459900129},
url = {https://doi.org/10.1007/s002459900129}
}
@Article{ albeverio.kusuoka:20:invariant,
author = {Albeverio, Sergio and Kusuoka, Seiichiro},
title = {The invariant measure and the flow associated to the
{$\Phi^4_3$}-quantum field model},
journal = {Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie V},
volume = {20},
year = {2020},
number = {4},
pages = {1359--1427},
issn = {0391-173X},
mrclass = {81S20 (35Q40 37H10 60H15 60L50 81T08)},
mrnumber = {4201185}
}
@Article{ albeverio.molchanov.ea:94:stratified,
author = {Albeverio, Sergio and Molchanov, Stanislav A. and
Surgailis, Donatas},
title = {Stratified structure of the {U}niverse and {B}urgers'
equation---a probabilistic approach},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {100},
year = {1994},
number = {4},
pages = {457--484},
issn = {0178-8051},
mrclass = {85A30 (60H30 85A35)},
mrnumber = {1305783},
doi = {10.1007/BF01268990},
url = {https://doi.org/10.1007/BF01268990}
}
@Article{ albeverio.rockner:91:stochastic,
author = {Albeverio, S. and R\"{o}ckner, M.},
title = {Stochastic differential equations in infinite dimensions:
solutions via {D}irichlet forms},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {89},
year = {1991},
number = {3},
pages = {347--386},
issn = {0178-8051},
mrclass = {60H10 (34F05 34G99)},
mrnumber = {1113223},
mrreviewer = {T. J. Lyons},
doi = {10.1007/BF01198791},
url = {https://doi.org/10.1007/BF01198791}
}
@Article{ albeverio.wu.ea:98:parabolic,
author = {Albeverio, Sergio and Wu, Jiang-Lun and Zhang, Tu-Sheng},
title = {Parabolic {SPDE}s driven by {P}oisson white noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {74},
year = {1998},
number = {1},
pages = {21--36},
issn = {0304-4149},
mrclass = {60H15 (35R60 60H20)},
mrnumber = {1624076},
mrreviewer = {Fred Espen Benth},
doi = {10.1016/S0304-4149(97)00112-9},
url = {https://doi.org/10.1016/S0304-4149(97)00112-9}
}
@Article{ albeverio.zhou:96:martingale,
author = {Albeverio, Sergio and Zhou, Xian Yin},
title = {A martingale approach to directed polymers in a random
environment},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {9},
year = {1996},
number = {1},
pages = {171--189},
issn = {0894-9840},
mrclass = {60K35 (82C41 82D30 82D60)},
mrnumber = {1371075},
mrreviewer = {H. Kesten},
doi = {10.1007/BF02213739},
url = {https://doi.org/10.1007/BF02213739}
}
@Article{ alcaraz.droz.ea:94:reaction-diffusion,
author = {Alcaraz, Francisco C. and Droz, Michel and Henkel, Malte
and Rittenberg, Vladimir},
title = {Reaction-diffusion processes, critical dynamics, and
quantum chains},
journal = {Ann. Physics},
fjournal = {Annals of Physics},
volume = {230},
year = {1994},
number = {2},
pages = {250--302},
issn = {0003-4916},
mrclass = {82C23 (82C20 82C35)},
mrnumber = {1268278},
mrreviewer = {Domingos H. U. Marchetti},
doi = {10.1006/aphy.1994.1026},
url = {https://doi.org/10.1006/aphy.1994.1026}
}
@Article{ aldous.diaconis:99:longest,
author = {Aldous, David and Diaconis, Persi},
title = {Longest increasing subsequences: from patience sorting to
the {B}aik-{D}eift-{J}ohansson theorem},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {36},
year = {1999},
number = {4},
pages = {413--432},
issn = {0273-0979},
mrclass = {60C05 (05E10 15A52 60F05 60K35)},
mrnumber = {1694204},
mrreviewer = {James Allen Fill},
doi = {10.1090/S0273-0979-99-00796-X},
url = {https://doi.org/10.1090/S0273-0979-99-00796-X}
}
@Unpublished{ aldous.fill:02:reversible,
author = {David Aldous and James Allen Fill},
title = {Reversible {Markov} Chains and Random Walks on Graphs},
year = {2002},
note = {Unfinished monograph (compiled version 2014). Available at
\url{https://www.stat.berkeley.edu/~aldous/RWG/book.html}}
}
@Article{ aleksandrov.bourgain.ea:95:uniqueness,
author = {Aleksandrov, A. and Bourgain, J. and Giesecke, M. and
Havin, V. and Vymenets, Yu.},
title = {Uniqueness and free interpolation for logarithmic
potentials and the {C}auchy problem for the {L}aplace
equation in {${\bf R}^2$}},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {5},
year = {1995},
number = {3},
pages = {529--571},
issn = {1016-443X,1420-8970},
mrclass = {31B20 (31B15 35J05)},
mrnumber = {1339816},
mrreviewer = {Ragnar\ Sigurdsson},
doi = {10.1007/BF01895831},
url = {https://doi.org/10.1007/BF01895831}
}
@Article{ alexander.sidoravicius:06:pinning,
author = {Alexander, Kenneth S. and Sidoravicius, Vladas},
title = {Pinning of polymers and interfaces by random potentials},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {16},
year = {2006},
number = {2},
pages = {636--669},
issn = {1050-5164},
mrclass = {60K35 (82B44 82D60)},
mrnumber = {2244428},
mrreviewer = {Giambattista Giacomin},
doi = {10.1214/105051606000000015},
url = {https://doi.org/10.1214/105051606000000015}
}
@Article{ aliev:97:on,
author = {Aliev, G. F.},
title = {On the convergence of an approximate solution of a
boundary value problem for a second-order nonlinear
differential equation with deviating argument},
journal = {Proc. Inst. Math. Mech. Acad. Sci. Azerb.},
fjournal = {Proceedings of Institute of Mathematics and Mechanics.
Academy of Sciences of Azerbaijan},
volume = {7},
year = {1997},
pages = {26--31},
mrclass = {34K07 (65L20)},
mrnumber = {1812769}
}
@Article{ alikakos:79:application,
author = {Alikakos, Nicholas D.},
title = {An application of the invariance principle to
reaction-diffusion equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {33},
year = {1979},
number = {2},
pages = {201--225},
issn = {0022-0396},
mrclass = {35B35 (92A15)},
mrnumber = {542670},
mrreviewer = {Hans Kaper},
doi = {10.1016/0022-0396(79)90088-3},
url = {https://doi.org/10.1016/0022-0396(79)90088-3}
}
@Article{ alikakos:79:lp,
author = {Alikakos, N. D.},
title = {{$L^{p}$} bounds of solutions of reaction-diffusion
equations},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {4},
year = {1979},
number = {8},
pages = {827--868},
issn = {0360-5302},
mrclass = {35K55 (80A20)},
mrnumber = {537465},
mrreviewer = {Mieczyslaw Altman},
doi = {10.1080/03605307908820113},
url = {https://doi.org/10.1080/03605307908820113}
}
@Article{ alinhac:99:blowup,
author = {Alinhac, Serge},
title = {Blowup of small data solutions for a quasilinear wave
equation in two space dimensions},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {149},
year = {1999},
number = {1},
pages = {97--127},
issn = {0003-486X},
mrclass = {35L70 (35B05)},
mrnumber = {1680539},
mrreviewer = {Nickolai A. Lar{\cprime}kin},
doi = {10.2307/121020},
url = {https://doi.org/10.2307/121020}
}
@Article{ alkhayuon.tyson.ea:21:phase,
author = {Alkhayuon, Hassan and Tyson, Rebecca C. and Wieczorek,
Sebastian},
title = {Phase tipping: how cyclic ecosystems respond to
contemporary climate},
journal = {Proc. A.},
fjournal = {Proceedings A},
volume = {477},
year = {2021},
number = {2254},
pages = {Paper No. 20210059, 26},
issn = {1364-5021},
mrclass = {92D40 (37G15)},
mrnumber = {4340462},
doi = {10.1098/rspa.2021.0059},
url = {https://doi.org/10.1098/rspa.2021.0059}
}
@Article{ allaire:92:homogenization,
author = {Allaire, Gr\'{e}goire},
title = {Homogenization and two-scale convergence},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {23},
year = {1992},
number = {6},
pages = {1482--1518},
issn = {0036-1410},
mrclass = {35B27 (35B40 73B27)},
mrnumber = {1185639},
mrreviewer = {Maria Luisa Mascarenhas},
doi = {10.1137/0523084},
url = {https://doi.org/10.1137/0523084}
}
@Article{ allegretto.xie.ea:97:properties,
author = {Allegretto, W. and Xie, H. and Yang, Shixin},
title = {Properties of solutions for a chemotaxis system},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {35},
year = {1997},
number = {8},
pages = {949--966},
issn = {0303-6812},
mrclass = {92C35 (35Q80)},
mrnumber = {1478296},
doi = {10.1007/s002850050084},
url = {https://doi.org/10.1007/s002850050084}
}
@Article{ allez.rhodes.ea:13:lognormal,
author = {Allez, Romain and Rhodes, R\'{e}mi and Vargas, Vincent},
title = {Lognormal {$\star$}-scale invariant random measures},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {155},
year = {2013},
number = {3-4},
pages = {751--788},
issn = {0178-8051},
mrclass = {60G57 (60G15 60G18 60H25)},
mrnumber = {3034792},
mrreviewer = {Narn-Rueih Shieh},
doi = {10.1007/s00440-012-0412-9},
url = {https://doi.org/10.1007/s00440-012-0412-9}
}
@Article{ allez.rhodes.ea:15:convergence,
author = {Allez, Romain and Rhodes, R\'emi and Vargas, Vincent},
title = {Convergence of the spectrum of empirical covariance
matrices for independent {MRW} processes},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {19},
year = {2015},
pages = {327--360},
issn = {1292-8100,1262-3318},
mrclass = {60B20 (60G18)},
mrnumber = {3412649},
doi = {10.1051/ps/2014028},
url = {https://doi.org/10.1051/ps/2014028}
}
@Article{ allman.betz.ea:11:chain,
author = {Allman, Michael and Betz, Volker and Hairer, Martin},
title = {A chain of interacting particles under strain},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {9},
pages = {2014--2042},
issn = {0304-4149},
mrclass = {60J70 (34E15 34F05 60H10)},
mrnumber = {2819238},
mrreviewer = {Mario Abundo},
doi = {10.1016/j.spa.2011.05.007},
url = {https://doi.org/10.1016/j.spa.2011.05.007}
}
@Article{ allouba.nane:13:interacting,
author = {Allouba, Hassan and Nane, Erkan},
title = {Interacting time-fractional and {$\Delta^\nu$} {PDE}s
systems via {B}rownian-time and
inverse-stable-{L}\'{e}vy-time {B}rownian sheets},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {13},
year = {2013},
number = {1},
pages = {1250012, 31},
issn = {0219-4937},
mrclass = {35K30 (35C05 60G22 60G60 60J45 60J65)},
mrnumber = {3007250},
doi = {10.1142/S0219493712500128},
url = {https://doi.org/10.1142/S0219493712500128}
}
@Article{ allouba.xiao:17:l-kuramoto-sivashinsky,
author = {Allouba, Hassan and Xiao, Yimin},
title = {L-{K}uramoto-{S}ivashinsky {SPDE}s vs. time-fractional
{SPIDE}s: exact continuity and gradient moduli,
{$1/2$}-derivative criticality, and laws},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {263},
year = {2017},
number = {2},
pages = {1552--1610},
issn = {0022-0396,1090-2732},
mrclass = {60H15 (35R11 35R60 45H05 45R05 60H20 60J35 60J45)},
mrnumber = {3632228},
mrreviewer = {Georgiy\ M.\ Shevchenko},
doi = {10.1016/j.jde.2017.03.027},
url = {https://doi.org/10.1016/j.jde.2017.03.027}
}
@Article{ allouba.zheng:01:brownian-time,
author = {Allouba, Hassan and Zheng, Weian},
title = {Brownian-time processes: the {PDE} connection and the
half-derivative generator},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {29},
year = {2001},
number = {4},
pages = {1780--1795},
issn = {0091-1798},
mrclass = {60H30 (35K25 60J35 60J45 60J60 60J65)},
mrnumber = {1880242},
mrreviewer = {Robert G. Smits},
doi = {10.1214/aop/1015345772},
url = {https://doi.org/10.1214/aop/1015345772}
}
@Article{ allouba:02:brownian-time,
author = {Allouba, Hassan},
title = {Brownian-time processes: the {PDE} connection. {II}. {A}nd
the corresponding {F}eynman-{K}ac formula},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {354},
year = {2002},
number = {11},
pages = {4627--4637},
issn = {0002-9947},
mrclass = {60H30 (35K30 60J35 60J45 60J60 60J65)},
mrnumber = {1926892},
mrreviewer = {Robert G. Smits},
doi = {10.1090/S0002-9947-02-03074-X},
url = {https://doi.org/10.1090/S0002-9947-02-03074-X}
}
@Article{ allouba:13:brownian-time,
author = {Allouba, Hassan},
title = {Brownian-time {B}rownian motion {SIE}s on {$\Bbb
R_+\times\Bbb R^d$}: ultra regular direct and
lattice-limits solutions and fourth order {SPDE}s links},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {33},
year = {2013},
number = {2},
pages = {413--463},
issn = {1078-0947},
mrclass = {60H20 (60H15 60J25 60J35 60J65)},
mrnumber = {2975119},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.3934/dcds.2013.33.413},
url = {https://doi.org/10.3934/dcds.2013.33.413}
}
@Article{ allouba:13:time-fractional,
author = {Allouba, Hassan},
title = {Time-fractional and memoryful {$\Delta^{2^k}$} {SIE}s on
{$\Bbb{R}_+\times\Bbb{R}^d$}: how far can we push white
noise?},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {57},
year = {2013},
number = {4},
pages = {919--963},
issn = {0019-2082},
mrclass = {60H15 (35B65 35R11 35R60 45H05 45R05 60H20 60J60)},
mrnumber = {3285862},
mrreviewer = {Isamu D\^{o}ku},
url = {http://projecteuclid.org/euclid.ijm/1417442557}
}
@Article{ allouba:98:different,
author = {Allouba, H.},
title = {Different types of {SPDE}s in the eyes of {G}irsanov's
theorem},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {16},
year = {1998},
number = {5},
pages = {787--810},
issn = {0736-2994},
mrclass = {60H15 (35K99 35R60)},
mrnumber = {1643116},
mrreviewer = {Bj\"{o}rn Schmalfuss},
doi = {10.1080/07362999808809562},
url = {https://doi.org/10.1080/07362999808809562}
}
@Article{ alm.deijfen:15:first,
author = {Alm, Sven Erick and Deijfen, Maria},
title = {First passage percolation on {$\Bbb{Z}^2$}: a simulation
study},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {161},
year = {2015},
number = {3},
pages = {657--678},
issn = {0022-4715},
mrclass = {82B43},
mrnumber = {3406703},
doi = {10.1007/s10955-015-1356-0},
url = {https://doi.org/10.1007/s10955-015-1356-0}
}
@Article{ alm.parviainen:02:lower,
author = {Alm, Sven Erick and Parviainen, Robert},
title = {Lower and upper bounds for the time constant of
first-passage percolation},
journal = {Combin. Probab. Comput.},
fjournal = {Combinatorics, Probability and Computing},
volume = {11},
year = {2002},
number = {5},
pages = {433--445},
issn = {0963-5483},
mrclass = {82B43},
mrnumber = {1930350},
mrreviewer = {Rahul Roy},
doi = {10.1017/S0963548302005266},
url = {https://doi.org/10.1017/S0963548302005266}
}
@Article{ alon.bourgain:14:additive,
author = {Alon, Noga and Bourgain, Jean},
title = {Additive patterns in multiplicative subgroups},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {24},
year = {2014},
number = {3},
pages = {721--739},
issn = {1016-443X,1420-8970},
mrclass = {11B30 (05C25 12E20)},
mrnumber = {3213827},
mrreviewer = {Oliver\ Roche-Newton},
doi = {10.1007/s00039-014-0270-y},
url = {https://doi.org/10.1007/s00039-014-0270-y}
}
@Article{ alos.leon.ea:01:stochastic,
author = {Al\`os, E. and Le\'{o}n, J. A. and Nualart, D.},
title = {Stochastic {S}tratonovich calculus f{B}m for fractional
{B}rownian motion with {H}urst parameter less than
{$1/2$}},
journal = {Taiwanese J. Math.},
fjournal = {Taiwanese Journal of Mathematics},
volume = {5},
year = {2001},
number = {3},
pages = {609--632},
issn = {1027-5487},
mrclass = {60H05 (60H07)},
mrnumber = {1849782},
mrreviewer = {Laurent Decreusefond},
doi = {10.11650/twjm/1500574954},
url = {https://doi.org/10.11650/twjm/1500574954}
}
@Article{ alos.leon.ea:99:stochastic,
author = {Al\`os, Elisa and Le\'{o}n, Jorge A. and Nualart, David},
title = {Stochastic heat equation with random coefficients},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {115},
year = {1999},
number = {1},
pages = {41--94},
issn = {0178-8051},
mrclass = {60H15 (35R60 60H07)},
mrnumber = {1715545},
mrreviewer = {Fred Espen Benth},
doi = {10.1007/s004400050236},
url = {https://doi.org/10.1007/s004400050236}
}
@Article{ alos.mazet.ea:00:stochastic,
author = {Al\`os, Elisa and Mazet, Olivier and Nualart, David},
title = {Stochastic calculus with respect to fractional {B}rownian
motion with {H}urst parameter lesser than {$\frac 12$}},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {86},
year = {2000},
number = {1},
pages = {121--139},
issn = {0304-4149},
mrclass = {60H05},
mrnumber = {1741199},
mrreviewer = {Laurent Decreusefond},
doi = {10.1016/S0304-4149(99)00089-7},
url = {https://doi.org/10.1016/S0304-4149(99)00089-7}
}
@Article{ alos.mazet.ea:01:stochastic,
author = {Al\`os, Elisa and Mazet, Olivier and Nualart, David},
title = {Stochastic calculus with respect to {G}aussian processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {29},
year = {2001},
number = {2},
pages = {766--801},
issn = {0091-1798},
mrclass = {60H07 (60H05)},
mrnumber = {1849177},
mrreviewer = {Mich\`ele Mastrangelo-Dehen},
doi = {10.1214/aop/1008956692},
url = {https://doi.org/10.1214/aop/1008956692}
}
@Article{ alos.nualart.ea:00:stochastic,
author = {Al\`os, E. and Nualart, D. and Viens, F.},
title = {Stochastic heat equation with white-noise drift},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {36},
year = {2000},
number = {2},
pages = {181--218},
issn = {0246-0203},
mrclass = {60H15 (60H07)},
mrnumber = {1751658},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1016/S0246-0203(00)00122-9},
url = {https://doi.org/10.1016/S0246-0203(00)00122-9}
}
@Article{ alos.nualart:03:stochastic,
author = {Al\`os, Elisa and Nualart, David},
title = {Stochastic integration with respect to the fractional
{B}rownian motion},
journal = {Stoch. Stoch. Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {75},
year = {2003},
number = {3},
pages = {129--152},
issn = {1045-1129},
mrclass = {60H07 (60G15 60H05)},
mrnumber = {1978896},
mrreviewer = {Nicolas Privault},
doi = {10.1080/1045112031000078917},
url = {https://doi.org/10.1080/1045112031000078917}
}
@Article{ alos.nualart:97:anticipating,
author = {Al\`os, Elisa and Nualart, David},
title = {Anticipating stochastic {V}olterra equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {72},
year = {1997},
number = {1},
pages = {73--95},
issn = {0304-4149},
mrclass = {60H20 (60H07)},
mrnumber = {1483612},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1016/S0304-4149(97)00075-6},
url = {https://doi.org/10.1016/S0304-4149(97)00075-6}
}
@InCollection{ alos.nualart:97:maximal,
author = {Al\`os, Elisa and Nualart, David},
title = {A maximal inequality for the {S}korohod integral},
booktitle = {Stochastic differential and difference equations
({G}y\H{o}r, 1996)},
series = {Progr. Systems Control Theory},
volume = {23},
pages = {241--251},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1997},
mrclass = {60H05 (60E15)},
mrnumber = {1636839},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel}
}
@Article{ alos.nualart:98:extension,
author = {Al\`os, Elisa and Nualart, David},
title = {An extension of {I}t\^{o}'s formula for anticipating
processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {11},
year = {1998},
number = {2},
pages = {493--514},
issn = {0894-9840},
mrclass = {60H05 (60H07)},
mrnumber = {1622583},
mrreviewer = {Daniel Ocone},
doi = {10.1023/A:1022692024364},
url = {https://doi.org/10.1023/A:1022692024364}
}
@Article{ alt.lauffenburger:87:transient,
author = {Alt, Wolfgang and Lauffenburger, Douglas A.},
title = {Transient behavior of a chemotaxis system modelling
certain types of tissue inflammation},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {24},
year = {1987},
number = {6},
pages = {691--722},
issn = {0303-6812},
mrclass = {92A09 (35Q99 92A07)},
mrnumber = {880453},
mrreviewer = {Matthew Witten},
doi = {10.1007/BF00275511},
url = {https://doi.org/10.1007/BF00275511}
}
@Article{ alt:80:biased,
author = {Alt, Wolfgang},
title = {Biased random walk models for chemotaxis and related
diffusion approximations},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {9},
year = {1980},
number = {2},
pages = {147--177},
issn = {0303-6812},
mrclass = {92A05 (60J70)},
mrnumber = {661424},
mrreviewer = {M. E. Wise},
doi = {10.1007/BF00275919},
url = {https://doi.org/10.1007/BF00275919}
}
@Article{ altman.zeitouni:94:rate,
author = {Altman, Eitan and Zeitouni, Ofer},
title = {Rate of convergence of empirical measures and costs in
controlled {M}arkov chains and transient optimality},
journal = {Math. Oper. Res.},
fjournal = {Mathematics of Operations Research},
volume = {19},
year = {1994},
number = {4},
pages = {955--974},
issn = {0364-765X,1526-5471},
mrclass = {90C40 (60J10 90B22 93E20)},
mrnumber = {1304632},
mrreviewer = {P.\ Neumann},
doi = {10.1287/moor.19.4.955},
url = {https://doi.org/10.1287/moor.19.4.955}
}
@Article{ alvarez-gaume.barbon.ea:93:proposal,
author = {Alvarez-Gaum\'{e}, L. and Barb\'{o}n, J. L. F. and
Crnkovi\'{c}, \v{C}.},
title = {A proposal for strings at {$D>1$}},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {394},
year = {1993},
number = {2},
pages = {383--422},
issn = {0550-3213},
mrclass = {81T30},
mrnumber = {1214333},
mrreviewer = {Jorge Alfaro},
doi = {10.1016/0550-3213(93)90020-P},
url = {https://doi.org/10.1016/0550-3213(93)90020-P}
}
@Article{ alvarez:83:theory,
author = {Alvarez, Orlando},
title = {Theory of strings with boundaries: fluctuations, topology
and quantum geometry},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {216},
year = {1983},
number = {1},
pages = {125--184},
issn = {0550-3213},
mrclass = {81E20 (58G25)},
mrnumber = {701643},
mrreviewer = {John Madore},
doi = {10.1016/0550-3213(83)90490-X},
url = {https://doi.org/10.1016/0550-3213(83)90490-X}
}
@Article{ amadori:95:unstable,
author = {Amadori, Debora},
title = {Unstable blow-up patterns},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {8},
year = {1995},
number = {8},
pages = {1977--1996},
issn = {0893-4983},
mrclass = {35K60 (35B40)},
mrnumber = {1348961},
mrreviewer = {Qing Fang}
}
@Article{ amann:84:existence,
author = {Amann, Herbert},
title = {Existence and regularity for semilinear parabolic
evolution equations},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie IV},
volume = {11},
year = {1984},
number = {4},
pages = {593--676},
issn = {0391-173X},
mrclass = {34G20 (35K22 47H15)},
mrnumber = {808425},
mrreviewer = {Sergiu Aizicovici},
url = {http://www.numdam.org/item?id=ASNSP_1984_4_11_4_593_0}
}
@Book{ amann:95:linear,
author = {Amann, Herbert},
title = {Linear and quasilinear parabolic problems. {V}ol. {I}},
series = {Monographs in Mathematics},
volume = {89},
note = {Abstract linear theory},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {1995},
pages = {xxxvi+335},
isbn = {3-7643-5114-4},
mrclass = {34Gxx (35Kxx 46M35 46N20 47D06 47N20)},
mrnumber = {1345385},
mrreviewer = {Paolo Acquistapace},
doi = {10.1007/978-3-0348-9221-6},
url = {https://doi.org/10.1007/978-3-0348-9221-6}
}
@Article{ ambj-rn.durhuus.ea:94:solvable,
author = {Ambj\o rn, J. and Durhuus, B. and J\'{o}nsson, T.},
title = {A solvable {$2$}{D} gravity model with {$\gamma>0$}},
journal = {Modern Phys. Lett. A},
fjournal = {Modern Physics Letters A. Particles and Fields,
Gravitation, Cosmology, Nuclear Physics},
volume = {9},
year = {1994},
number = {13},
pages = {1221--1228},
issn = {0217-7323},
mrclass = {81T40},
mrnumber = {1279108},
doi = {10.1142/S0217732394001040},
url = {https://doi.org/10.1142/S0217732394001040}
}
@Article{ ambrose.mazzucato:19:global,
author = {Ambrose, David M. and Mazzucato, Anna L.},
title = {Global existence and analyticity for the 2{D}
{K}uramoto-{S}ivashinsky equation},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {31},
year = {2019},
number = {3},
pages = {1525--1547},
issn = {1040-7294},
mrclass = {35K25 (35B10 35B65 35K59)},
mrnumber = {3992081},
mrreviewer = {Piotr Rybka},
doi = {10.1007/s10884-018-9656-0},
url = {https://doi.org/10.1007/s10884-018-9656-0}
}
@Article{ ambrosio.bourgain.ea:14:perimeter,
author = {Ambrosio, Luigi and Bourgain, Jean and Brezis, Ha\"{i}m
and Figalli, Alessio},
title = {Perimeter of sets and {$BMO$}-type norms},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {352},
year = {2014},
number = {9},
pages = {697--698},
issn = {1631-073X,1778-3569},
mrclass = {46E27 (42B35)},
mrnumber = {3258259},
mrreviewer = {Giampiero\ Palatucci},
doi = {10.1016/j.crma.2014.07.001},
url = {https://doi.org/10.1016/j.crma.2014.07.001}
}
@Article{ ambrosio.bourgain.ea:16:bmo-type,
author = {Ambrosio, Luigi and Bourgain, Jean and Brezis, Haim and
Figalli, Alessio},
title = {B{MO}-type norms related to the perimeter of sets},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {69},
year = {2016},
number = {6},
pages = {1062--1086},
issn = {0010-3640,1097-0312},
mrclass = {42B35},
mrnumber = {3493625},
mrreviewer = {Manuel\ Alejandro\ Sanabria Garc\'{i}a},
doi = {10.1002/cpa.21620},
url = {https://doi.org/10.1002/cpa.21620}
}
@Article{ ambrosio.mainini.ea:11:gradient,
author = {Ambrosio, Luigi and Mainini, Edoardo and Serfaty, Sylvia},
title = {Gradient flow of the {C}hapman-{R}ubinstein-{S}chatzman
model for signed vortices},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {28},
year = {2011},
number = {2},
pages = {217--246},
issn = {0294-1449},
mrclass = {82D55 (35J20 35K55 35R06 49J45 58E50)},
mrnumber = {2784070},
mrreviewer = {Xingbin Pan},
doi = {10.1016/j.anihpc.2010.11.006},
url = {https://doi.org/10.1016/j.anihpc.2010.11.006}
}
@Article{ ambrosio.savare.ea:09:existence,
author = {Ambrosio, Luigi and Savar\'{e}, Giuseppe and Zambotti,
Lorenzo},
title = {Existence and stability for {F}okker-{P}lanck equations
with log-concave reference measure},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {145},
year = {2009},
number = {3-4},
pages = {517--564},
issn = {0178-8051,1432-2064},
mrclass = {60J60 (49Q20 60G07 82C31)},
mrnumber = {2529438},
doi = {10.1007/s00440-008-0177-3},
url = {https://doi.org/10.1007/s00440-008-0177-3}
}
@Article{ ambrosio.serfaty:08:gradient,
author = {Ambrosio, Luigi and Serfaty, Sylvia},
title = {A gradient flow approach to an evolution problem arising
in superconductivity},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {61},
year = {2008},
number = {11},
pages = {1495--1539},
issn = {0010-3640},
mrclass = {35K51 (35B25 35J20 82D55)},
mrnumber = {2444374},
mrreviewer = {Xingbin Pan},
doi = {10.1002/cpa.20223},
url = {https://doi.org/10.1002/cpa.20223}
}
@Article{ amenta.lorist.ea:19:rescaled,
author = {Amenta, Alex and Lorist, Emiel and Veraar, Mark},
title = {Rescaled extrapolation for vector-valued functions},
journal = {Publ. Mat.},
fjournal = {Publicacions Matem\`atiques},
volume = {63},
year = {2019},
number = {1},
pages = {155--182},
issn = {0214-1493,2014-4350},
mrclass = {42B25 (42A20 42B15 42B20 46E30)},
mrnumber = {3908790},
mrreviewer = {Xiumin\ Du},
doi = {10.5565/PUBLMAT6311905},
url = {https://doi.org/10.5565/PUBLMAT6311905}
}
@Article{ amir.corwin.ea:11:probability,
author = {Amir, Gideon and Corwin, Ivan and Quastel, Jeremy},
title = {Probability distribution of the free energy of the
continuum directed random polymer in {$1+1$} dimensions},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {64},
year = {2011},
number = {4},
pages = {466--537},
issn = {0010-3640},
mrclass = {60K35 (60B20 60F05 60H15 82C22 82C44)},
mrnumber = {2796514},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1002/cpa.20347},
url = {https://doi.org/10.1002/cpa.20347}
}
@Article{ amorino.nualart:22:optimal,
author = {Amorino, Chiara and Nualart, Eulalia},
title = {Optimal convergence rates for the invariant density
estimation of jump-diffusion processes},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {26},
year = {2022},
pages = {126--151},
issn = {1292-8100},
mrclass = {62G07 (60J74 62G20)},
mrnumber = {4373279},
doi = {10.1051/ps/2022001},
url = {https://doi.org/10.1051/ps/2022001}
}
@Article{ ancona:97:first,
author = {Ancona, Alano},
title = {First eigenvalues and comparison of {G}reen's functions
for elliptic operators on manifolds or domains},
journal = {J. Anal. Math.},
fjournal = {Journal d'Analyse Math\'{e}matique},
volume = {72},
year = {1997},
pages = {45--92},
issn = {0021-7670},
mrclass = {58G03 (35B05 35J15)},
mrnumber = {1482989},
mrreviewer = {Yehuda Pinchover},
doi = {10.1007/BF02843153},
url = {https://doi.org/10.1007/BF02843153}
}
@Book{ anderson.guionnet.ea:10:introduction,
author = {Anderson, Greg W. and Guionnet, Alice and Zeitouni, Ofer},
title = {An introduction to random matrices},
series = {Cambridge Studies in Advanced Mathematics},
volume = {118},
publisher = {Cambridge University Press, Cambridge},
year = {2010},
pages = {xiv+492},
isbn = {978-0-521-19452-5},
mrclass = {60B20 (46L53 46L54)},
mrnumber = {2760897},
mrreviewer = {Terence Tao}
}
@Article{ anderson.mattingly.ea:07:propagation,
author = {Anderson, David F. and Mattingly, Jonathan C. and Nijhout,
H. Frederik and Reed, Michael C.},
title = {Propagation of fluctuations in biochemical systems. {I}.
{L}inear {SSC} networks},
journal = {Bull. Math. Biol.},
fjournal = {Bulletin of Mathematical Biology. A Journal Devoted to
Research at the Interface of the Life and Mathematical
Sciences},
volume = {69},
year = {2007},
number = {6},
pages = {1791--1813},
issn = {0092-8240,1522-9602},
mrclass = {92E20 (34F05 60H10 60H30)},
mrnumber = {2329180},
doi = {10.1007/s11538-007-9192-2},
url = {https://doi.org/10.1007/s11538-007-9192-2}
}
@Article{ anderson.mattingly:11:weak,
author = {Anderson, David F. and Mattingly, Jonathan C.},
title = {A weak trapezoidal method for a class of stochastic
differential equations},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {9},
year = {2011},
number = {1},
pages = {301--318},
issn = {1539-6746,1945-0796},
mrclass = {60H35 (60H10 65C30)},
mrnumber = {2836848},
mrreviewer = {Mikhail\ V.\ Tretyakov},
doi = {10.4310/cms.2011.v9.n1.a15},
url = {https://doi.org/10.4310/cms.2011.v9.n1.a15}
}
@InProceedings{ anderson.morse:74:some,
author = {Anderson, B. A. and Morse, D.},
title = {Some observations on starters},
booktitle = {Proceedings of the {F}ifth {S}outheastern {C}onference on
{C}ombinatorics, {G}raph {T}heory and {C}omputing
({F}lorida {A}tlantic {U}niv., {B}oca {R}aton, {F}la.,
1974)},
series = {Congress. Numer., No. X},
pages = {229--235},
publisher = {Utilitas Math., Winnipeg, MB},
year = {1974},
mrclass = {05C25},
mrnumber = {366728},
mrreviewer = {Diane Johnson}
}
@Book{ anderson.seppalainen.ea:18:introduction,
author = {Anderson, David F. and Sepp\"{a}l\"{a}inen, Timo and
Valk\'{o}, Benedek},
title = {Introduction to probability},
series = {Cambridge Mathematical Textbooks},
publisher = {Cambridge University Press, Cambridge},
year = {2018},
pages = {xv+429},
isbn = {978-1-108-41585-9},
mrclass = {60-01 (60Fxx)},
mrnumber = {3753683},
mrreviewer = {Andrew R. Wade}
}
@Article{ anderson.zeitouni:06:clt,
author = {Anderson, Greg W. and Zeitouni, Ofer},
title = {A {CLT} for a band matrix model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {134},
year = {2006},
number = {2},
pages = {283--338},
issn = {0178-8051,1432-2064},
mrclass = {60F05 (15A52)},
mrnumber = {2222385},
mrreviewer = {Emmanuel\ C.\ Germain},
doi = {10.1007/s00440-004-0422-3},
url = {https://doi.org/10.1007/s00440-004-0422-3}
}
@Article{ anderson.zeitouni:08:clt,
author = {Anderson, Greg W. and Zeitouni, Ofer},
title = {A {CLT} for regularized sample covariance matrices},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {36},
year = {2008},
number = {6},
pages = {2553--2576},
issn = {0090-5364,2168-8966},
mrclass = {60F05 (15B52 62H12)},
mrnumber = {2485007},
mrreviewer = {Gutti\ J.\ Babu},
doi = {10.1214/07-AOS503},
url = {https://doi.org/10.1214/07-AOS503}
}
@Article{ anderson.zeitouni:08:law,
author = {Anderson, Greg W. and Zeitouni, Ofer},
title = {A law of large numbers for finite-range dependent random
matrices},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {61},
year = {2008},
number = {8},
pages = {1118--1154},
issn = {0010-3640,1097-0312},
mrclass = {60F10 (60B20)},
mrnumber = {2417889},
mrreviewer = {Myl\`ene\ Ma\"{i}da},
doi = {10.1002/cpa.20235},
url = {https://doi.org/10.1002/cpa.20235}
}
@Book{ anderson:03:introduction,
author = {Anderson, T. W.},
title = {An introduction to multivariate statistical analysis},
series = {Wiley Series in Probability and Statistics},
edition = {Third},
publisher = {Wiley-Interscience [John Wiley \& Sons], Hoboken, NJ},
year = {2003},
pages = {xx+721},
isbn = {0-471-36091-0},
mrclass = {62-01 (62Hxx)},
mrnumber = {1990662}
}
@InCollection{ anderson:11:spectral,
author = {Anderson, Greg W.},
title = {Spectral statistics of unitary ensembles},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {66--85},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60B20 (15B52)},
mrnumber = {2932624},
mrreviewer = {Sasha Sodin}
}
@Article{ anderson:55:integral,
author = {Anderson, T. W.},
title = {The integral of a symmetric unimodal function over a
symmetric convex set and some probability inequalities},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {6},
year = {1955},
pages = {170--176},
issn = {0002-9939},
mrclass = {27.0X},
mrnumber = {69229},
mrreviewer = {K. L. Chung},
doi = {10.2307/2032333},
url = {https://doi.org/10.2307/2032333}
}
@Article{ anderson:58:absence,
title = {Absence of Diffusion in Certain Random Lattices},
author = {Anderson, P. W.},
journal = {Phys. Rev.},
fjournal = {Physical Review},
volume = {109},
issue = {5},
pages = {1492--1505},
numpages = {0},
year = {1958},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRev.109.1492},
url = {https://link.aps.org/doi/10.1103/PhysRev.109.1492}
}
@Article{ anderson:63:asymptotic,
author = {Anderson, T. W.},
title = {Asymptotic theory for principal component analysis},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {34},
year = {1963},
pages = {122--148},
issn = {0003-4851},
mrclass = {62.40},
mrnumber = {145620},
mrreviewer = {R. L. Plackett},
doi = {10.1214/aoms/1177704248},
url = {https://doi.org/10.1214/aoms/1177704248}
}
@Article{ anderson:82:reverse-time,
author = {Anderson, Brian D. O.},
title = {Reverse-time diffusion equation models},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {12},
year = {1982},
number = {3},
pages = {313--326},
issn = {0304-4149},
mrclass = {60H10 (92A15)},
mrnumber = {656280},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1016/0304-4149(82)90051-5},
url = {https://doi.org/10.1016/0304-4149(82)90051-5}
}
@Article{ andjel.mountford.ea:10:tightness,
author = {Andjel, Enrique and Mountford, Thomas and Pimentel,
Leandro P. R. and Valesin, Daniel},
title = {Tightness for the interface of the one-dimensional contact
process},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {16},
year = {2010},
number = {4},
pages = {909--925},
issn = {1350-7265,1573-9759},
mrclass = {60K35 (92D30)},
mrnumber = {2759162},
mrreviewer = {Eliane\ R.\ Rodrigues},
doi = {10.3150/09-BEJ236},
url = {https://doi.org/10.3150/09-BEJ236}
}
@Article{ andreatta.romeo:88:stochastic,
title = {Stochastic Shortest Path Problems: An Overview},
author = {Andreatta, G. and Romeo, L.},
journal = {Mathematical Programming Study},
volume = {38},
pages = {55--67},
year = {1988},
publisher = {Springer}
}
@Article{ andreianov.bendahmane.ea:11:finite,
author = {Andreianov, Boris and Bendahmane, Mostafa and Saad,
Mazen},
title = {Finite volume methods for degenerate chemotaxis model},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {235},
year = {2011},
number = {14},
pages = {4015--4031},
issn = {0377-0427},
mrclass = {65M08 (92C17)},
mrnumber = {2801425},
mrreviewer = {Fausto Cavalli},
doi = {10.1016/j.cam.2011.02.023},
url = {https://doi.org/10.1016/j.cam.2011.02.023}
}
@Article{ andreoletti.diel:11:limit,
author = {Andreoletti, Pierre and Diel, Roland},
title = {Limit law of the local time for {B}rox's diffusion},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {24},
year = {2011},
number = {3},
pages = {634--656},
issn = {0894-9840},
mrclass = {60J25 (60J55 60K37)},
mrnumber = {2822476},
mrreviewer = {Yueyun Hu},
doi = {10.1007/s10959-010-0314-7},
url = {https://doi.org/10.1007/s10959-010-0314-7}
}
@Article{ andreoli.caravenna.ea:12:scaling,
author = {Andreoli, Alessandro and Caravenna, Francesco and Dai Pra,
Paolo and Posta, Gustavo},
title = {Scaling and multiscaling in financial series: a simple
model},
journal = {Adv. in Appl. Probab.},
fjournal = {Advances in Applied Probability},
volume = {44},
year = {2012},
number = {4},
pages = {1018--1051},
issn = {0001-8678},
mrclass = {60H30 (60G44 62P05 91G70)},
mrnumber = {3052848},
doi = {10.1239/aap/1354716588},
url = {https://doi.org/10.1239/aap/1354716588}
}
@Article{ andresen.benth.ea:14:carma,
author = {Andresen, Arne and Benth, Fred Espen and Koekebakker,
Steen and Zakamulin, Valeriy},
title = {The {CARMA} interest rate model},
journal = {Int. J. Theor. Appl. Finance},
fjournal = {International Journal of Theoretical and Applied Finance},
volume = {17},
year = {2014},
number = {2},
pages = {1450008, 27},
issn = {0219-0249},
mrclass = {91G30},
mrnumber = {3198712},
mrreviewer = {Xingchun Wang},
doi = {10.1142/S0219024914500083},
url = {https://doi.org/10.1142/S0219024914500083}
}
@Article{ andreucci.herrero.ea:97:liouville,
author = {Andreucci, D. and Herrero, M. A. and Vel\'{a}zquez, J. J.
L.},
title = {Liouville theorems and blow up behaviour in semilinear
reaction diffusion systems},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {14},
year = {1997},
number = {1},
pages = {1--53},
issn = {0294-1449},
mrclass = {35K57 (35B05 35B40)},
mrnumber = {1437188},
mrreviewer = {Yoshio Yamada},
doi = {10.1016/S0294-1449(97)80148-5},
url = {https://doi.org/10.1016/S0294-1449(97)80148-5}
}
@InCollection{ andrews:10:q-hypergeometric,
author = {Andrews, G. E.},
title = {{$q$}-hypergeometric and related functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {419--433},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33D15 (33D05)},
mrnumber = {2655357}
}
@Article{ angenent.aronson:95:focusing,
author = {Angenent, S. B. and Aronson, D. G.},
title = {The focusing problem for the radially symmetric porous
medium equation},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {20},
year = {1995},
number = {7-8},
pages = {1217--1240},
issn = {0360-5302},
mrclass = {35K55 (35B99 76S05)},
mrnumber = {1335749},
mrreviewer = {Vladimir Grebenev},
doi = {10.1080/03605309508821130},
url = {https://doi.org/10.1080/03605309508821130}
}
@Article{ angenent.fila:96:interior,
author = {Angenent, Sigurd B. and Fila, Marek},
title = {Interior gradient blow-up in a semilinear parabolic
equation},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {9},
year = {1996},
number = {5},
pages = {865--877},
issn = {0893-4983},
mrclass = {35K57 (35B05 35B35)},
mrnumber = {1392084},
mrreviewer = {Gary M. Lieberman}
}
@InCollection{ angenent.tannenbaum.ea:06:curve,
author = {Angenent, Sigurd and Tannenbaum, Allen and Yezzi, Jr.,
Anthony and Zeitouni, Ofer},
title = {Curve shortening and interacting particle systems},
booktitle = {Statistics and analysis of shapes},
series = {Model. Simul. Sci. Eng. Technol.},
pages = {303--311},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2006},
isbn = {978-0-8176-4376-8; 0-8176-4376-1},
mrclass = {60D05 (35K05 35K57 53C44 60K35)},
mrnumber = {2274200},
mrreviewer = {Anders\ Linn\'{e}r},
doi = {10.1007/0-8176-4481-4\_12},
url = {https://doi.org/10.1007/0-8176-4481-4_12}
}
@Article{ angenent.velazquez:95:asymptotic,
author = {Angenent, S. B. and Vel\'{a}zquez, J. J. L.},
title = {Asymptotic shape of cusp singularities in curve
shortening},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {77},
year = {1995},
number = {1},
pages = {71--110},
issn = {0012-7094},
mrclass = {58E10 (53A04)},
mrnumber = {1317628},
mrreviewer = {Anders Linn\'{e}r},
doi = {10.1215/S0012-7094-95-07704-7},
url = {https://doi.org/10.1215/S0012-7094-95-07704-7}
}
@Article{ angenent.velazquez:97:degenerate,
author = {Angenent, S. B. and Vel\'{a}zquez, J. J. L.},
title = {Degenerate neckpinches in mean curvature flow},
journal = {J. Reine Angew. Math.},
fjournal = {Journal f\"{u}r die Reine und Angewandte Mathematik.
[Crelle's Journal]},
volume = {482},
year = {1997},
pages = {15--66},
issn = {0075-4102},
mrclass = {58E12 (53A10)},
mrnumber = {1427656},
mrreviewer = {Author's review (S.B.A.)},
doi = {10.1515/crll.1997.482.15},
url = {https://doi.org/10.1515/crll.1997.482.15}
}
@Article{ angulo.anh.ea:05:fractional,
author = {Angulo, J. M. and Anh, V. V. and McVinish, R. and
Ruiz-Medina, M. D.},
title = {Fractional kinetic equations driven by {G}aussian or
infinitely divisible noise},
journal = {Adv. in Appl. Probab.},
fjournal = {Advances in Applied Probability},
volume = {37},
year = {2005},
number = {2},
pages = {366--392},
issn = {0001-8678},
mrclass = {60G60 (60J60)},
mrnumber = {2144558},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1239/aap/1118858630},
url = {https://doi.org/10.1239/aap/1118858630}
}
@Article{ angulo.ruiz-medina.ea:00:fractional,
author = {Angulo, J. M. and Ruiz-Medina, M. D. and Anh, V. V. and
Grecksch, W.},
title = {Fractional diffusion and fractional heat equation},
journal = {Adv. in Appl. Probab.},
fjournal = {Advances in Applied Probability},
volume = {32},
year = {2000},
number = {4},
pages = {1077--1099},
issn = {0001-8678},
mrclass = {60H15 (60G60)},
mrnumber = {1808915},
doi = {10.1239/aap/1013540349},
url = {https://doi.org/10.1239/aap/1013540349}
}
@Article{ anh.da:17:exponential,
author = {Anh, Cung The and Da, Nguyen Tien},
title = {The exponential behaviour and stabilizability of
stochastic 2{D} hydrodynamical type systems},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {89},
year = {2017},
number = {3-4},
pages = {593--618},
issn = {1744-2508,1744-2516},
mrclass = {60H15 (35R60)},
mrnumber = {3607743},
mrreviewer = {Le\ Chen},
doi = {10.1080/17442508.2016.1269767},
url = {https://doi.org/10.1080/17442508.2016.1269767}
}
@Book{ anosov.bolibruch:94:riemann-hilbert,
author = {Anosov, D. V. and Bolibruch, A. A.},
title = {The {R}iemann-{H}ilbert problem},
series = {Aspects of Mathematics, E22},
publisher = {Friedr. Vieweg \& Sohn, Braunschweig},
year = {1994},
pages = {x+190},
isbn = {3-528-06496-X},
mrclass = {32G34 (30E25 34A20 34A30)},
mrnumber = {1276272},
mrreviewer = {V. V. Chueshev},
doi = {10.1007/978-3-322-92909-9},
url = {https://doi.org/10.1007/978-3-322-92909-9}
}
@Article{ antoine:22:weyl,
author = {Antoine, Mouzard},
title = {Weyl law for the {A}nderson {H}amiltonian on a
two-dimensional manifold},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {58},
year = {2022},
number = {3},
pages = {1385--1425},
issn = {0246-0203},
mrclass = {35J10 (58J05 60H25)},
mrnumber = {4452638},
doi = {10.1214/21-aihp1216},
url = {https://doi.org/10.1214/21-aihp1216}
}
@Article{ anton.cohen.ea:16:full,
author = {Anton, Rikard and Cohen, David and Larsson, Stig and Wang,
Xiaojie},
title = {Full discretization of semilinear stochastic wave
equations driven by multiplicative noise},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {54},
year = {2016},
number = {2},
pages = {1093--1119},
issn = {0036-1429,1095-7170},
mrclass = {65M75 (35R60 60H15 60H35 65M60)},
mrnumber = {3484400},
mrreviewer = {Sever\ A.\ Hirstoaga},
doi = {10.1137/15M101049X},
url = {https://doi.org/10.1137/15M101049X}
}
@Article{ anton.cohen.ea:20:fully,
author = {Anton, Rikard and Cohen, David and Quer-Sardanyons,
Lluis},
title = {A fully discrete approximation of the one-dimensional
stochastic heat equation},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {40},
year = {2020},
number = {1},
pages = {247--284},
issn = {0272-4979},
mrclass = {65M06 (60H15 65M12 65M22)},
mrnumber = {4050540},
mrreviewer = {Morteza Garshasbi},
doi = {10.1093/imanum/dry060},
url = {https://doi.org/10.1093/imanum/dry060}
}
@Article{ anton.cohen:18:exponential,
author = {Anton, Rikard and Cohen, David},
title = {Exponential integrators for stochastic {S}chr\"odinger
equations driven by {I}t\^o{} noise},
journal = {J. Comput. Math.},
fjournal = {Journal of Computational Mathematics},
volume = {36},
year = {2018},
number = {2},
pages = {276--309},
issn = {0254-9409,1991-7139},
mrclass = {65N75 (35Q55 35R60 60H15 65C50)},
mrnumber = {3771721},
doi = {10.4208/jcm.1701-m2016-0525},
url = {https://doi.org/10.4208/jcm.1701-m2016-0525}
}
@InCollection{ apostol:10:functions,
author = {Apostol, T. M.},
title = {Functions of number theory},
booktitle = {N{IST} handbook of mathematical functions},
pages = {637--649},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {11A25 (33C90)},
mrnumber = {2655367}
}
@InCollection{ apostol:10:zeta,
author = {Apostol, T. M.},
title = {Zeta and related functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {601--616},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {11M06 (33B15 33B30)},
mrnumber = {2655365}
}
@Book{ apostol:76:introduction,
author = {Apostol, Tom M.},
title = {Introduction to analytic number theory},
series = {Undergraduate Texts in Mathematics},
publisher = {Springer-Verlag, New York-Heidelberg},
year = {1976},
pages = {xii+338},
mrclass = {10-01 (10AXX 10HXX)},
mrnumber = {0434929},
mrreviewer = {E. Grosswald}
}
@Article{ applebaum.siakalli:09:asymptotic,
author = {Applebaum, David and Siakalli, Michailina},
title = {Asymptotic stability of stochastic differential equations
driven by {L}\'{e}vy noise},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {46},
year = {2009},
number = {4},
pages = {1116--1129},
issn = {0021-9002},
mrclass = {60H10 (60G51 93D20)},
mrnumber = {2582710},
mrreviewer = {Aleh Yablonski},
doi = {10.1239/jap/1261670692},
url = {https://doi.org/10.1239/jap/1261670692}
}
@Article{ applebaum.wu:00:stochastic,
author = {Applebaum, David and Wu, Jiang-Lun},
title = {Stochastic partial differential equations driven by
{L}\'{e}vy space-time white noise},
journal = {Random Oper. Stochastic Equations},
fjournal = {Random Operators and Stochastic Equations},
volume = {8},
year = {2000},
number = {3},
pages = {245--259},
issn = {0926-6364},
mrclass = {60H15 (60G51 60H40)},
mrnumber = {1796675},
mrreviewer = {Tu Sheng Zhang},
doi = {10.1515/rose.2000.8.3.245},
url = {https://doi.org/10.1515/rose.2000.8.3.245}
}
@Book{ applebaum:04:levy,
author = {Applebaum, David},
title = {L\'{e}vy processes and stochastic calculus},
series = {Cambridge Studies in Advanced Mathematics},
volume = {93},
publisher = {Cambridge University Press, Cambridge},
year = {2004},
pages = {xxiv+384},
isbn = {0-521-83263-2},
mrclass = {60-02 (60G44 60G51 60H05 60H30 60J60 60J65 91-01)},
mrnumber = {2072890},
mrreviewer = {Wilfried Hazod},
doi = {10.1017/CBO9780511755323},
url = {https://doi.org/10.1017/CBO9780511755323}
}
@Book{ applebaum:09:levy,
author = {Applebaum, David},
title = {L\'{e}vy processes and stochastic calculus},
series = {Cambridge Studies in Advanced Mathematics},
volume = {116},
edition = {Second},
publisher = {Cambridge University Press, Cambridge},
year = {2009},
pages = {xxx+460},
isbn = {978-0-521-73865-1},
mrclass = {60-02 (60G44 60G51 60H05 60H30 60J35 60J60 60J65)},
mrnumber = {2512800},
mrreviewer = {Dora Sele\v{s}i},
doi = {10.1017/CBO9780511809781},
url = {https://doi.org/10.1017/CBO9780511809781}
}
@Book{ applegate.bixby.ea:11:traveling,
title = {The traveling salesman problem: a computational study},
author = {Applegate, David L and Bixby, Robert E and Chvatal, Vasek
and Cook, William J},
year = {2011},
publisher = {Princeton University Press}
}
@Article{ apte.hairer.ea:07:sampling,
author = {Apte, A. and Hairer, M. and Stuart, A. M. and Voss, J.},
title = {Sampling the posterior: an approach to non-{G}aussian data
assimilation},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {230},
year = {2007},
number = {1-2},
pages = {50--64},
issn = {0167-2789},
mrclass = {62D05 (62C10)},
mrnumber = {2345202},
doi = {10.1016/j.physd.2006.06.009},
url = {https://doi.org/10.1016/j.physd.2006.06.009}
}
@Article{ arato:75:work,
author = {Arat\'{o}, M.},
title = {The work of academician {L}\'{a}szl\'{o} {K}alm\'{a}r in
the field of computer science (on the occasion of his 70th
birthday)},
journal = {Acta Cybernet.},
fjournal = {Acta Cybernetica},
volume = {2},
year = {1975},
number = {3},
pages = {179--181},
issn = {0324-721X},
mrclass = {01A70 (68-03)},
mrnumber = {386938}
}
@Book{ arendt.batty.ea:01:vector-valued,
author = {Arendt, Wolfgang and Batty, Charles J. K. and Hieber,
Matthias and Neubrander, Frank},
title = {Vector-valued {L}aplace transforms and {C}auchy problems},
series = {Monographs in Mathematics},
volume = {96},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {2001},
pages = {xii+523},
isbn = {3-7643-6549-8},
mrclass = {47D06 (34G10 35A22 35B15 35B40 44A10)},
mrnumber = {1886588},
mrreviewer = {Roland Schnaubelt},
doi = {10.1007/978-3-0348-5075-9},
url = {https://doi.org/10.1007/978-3-0348-5075-9}
}
@Article{ arguin.aizenman:09:on,
author = {Arguin, Louis-Pierre and Aizenman, Michael},
title = {On the structure of quasi-stationary competing particle
systems},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {3},
pages = {1080--1113},
issn = {0091-1798},
mrclass = {60G55 (60G10 82C22)},
mrnumber = {2537550},
mrreviewer = {Thierry Edmond Huillet},
doi = {10.1214/08-AOP429},
url = {https://doi.org/10.1214/08-AOP429}
}
@Article{ arguin.bovier.ea:11:genealogy,
author = {Arguin, L.-P. and Bovier, A. and Kistler, N.},
title = {Genealogy of extremal particles of branching {B}rownian
motion},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {64},
year = {2011},
number = {12},
pages = {1647--1676},
issn = {0010-3640},
mrclass = {60J80 (60G70 60J65)},
mrnumber = {2838339},
mrreviewer = {J\'{a}nos Engl\"{a}nder},
doi = {10.1002/cpa.20387},
url = {https://doi.org/10.1002/cpa.20387}
}
@Article{ arguin.bovier.ea:12:poissonian,
author = {Arguin, Louis-Pierre and Bovier, Anton and Kistler,
Nicola},
title = {Poissonian statistics in the extremal process of branching
{B}rownian motion},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {22},
year = {2012},
number = {4},
pages = {1693--1711},
issn = {1050-5164},
mrclass = {60J80 (60G70 82B44)},
mrnumber = {2985174},
mrreviewer = {Leonid V. Bogachev},
doi = {10.1214/11-AAP809},
url = {https://doi.org/10.1214/11-AAP809}
}
@Article{ arguin.bovier.ea:13:extremal,
author = {Arguin, Louis-Pierre and Bovier, Anton and Kistler,
Nicola},
title = {The extremal process of branching {B}rownian motion},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {157},
year = {2013},
number = {3-4},
pages = {535--574},
issn = {0178-8051},
mrclass = {60J80 (60G70 60J65)},
mrnumber = {3129797},
mrreviewer = {Anthony G. Pakes},
doi = {10.1007/s00440-012-0464-x},
url = {https://doi.org/10.1007/s00440-012-0464-x}
}
@Article{ arguin.chatterjee:13:random,
author = {Arguin, Louis-Pierre and Chatterjee, Sourav},
title = {Random overlap structures: properties and applications to
spin glasses},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {156},
year = {2013},
number = {1-2},
pages = {375--413},
issn = {0178-8051},
mrclass = {60G15 (60G57 82B44 82D30)},
mrnumber = {3055263},
mrreviewer = {Flora Koukiou},
doi = {10.1007/s00440-012-0431-6},
url = {https://doi.org/10.1007/s00440-012-0431-6}
}
@Article{ arguin.zindy:14:poisson-dirichlet,
author = {Arguin, Louis-Pierre and Zindy, Olivier},
title = {Poisson-{D}irichlet statistics for the extremes of a
log-correlated {G}aussian field},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {24},
year = {2014},
number = {4},
pages = {1446--1481},
issn = {1050-5164},
mrclass = {60G15 (60F05 60G70 82B26 82B44)},
mrnumber = {3211001},
doi = {10.1214/13-AAP952},
url = {https://doi.org/10.1214/13-AAP952}
}
@Article{ argyros.bourgain.ea:84:result,
author = {Argyros, S. and Bourgain, J. and Zachariades, T.},
title = {A result on the isomorphic embeddability of
{$l^1(\Gamma)$}},
journal = {Studia Math.},
fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia
Mathematica},
volume = {78},
year = {1984},
number = {1},
pages = {77--91},
issn = {0039-3223,1730-6337},
mrclass = {46B20},
mrnumber = {766706},
mrreviewer = {Stefan\ Heinrich},
doi = {10.4064/sm-78-1-77-91},
url = {https://doi.org/10.4064/sm-78-1-77-91}
}
@Article{ arias-castro.candes.ea:08:searching,
author = {Arias-Castro, Ery and Cand\`es, Emmanuel J. and Helgason,
Hannes and Zeitouni, Ofer},
title = {Searching for a trail of evidence in a maze},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {36},
year = {2008},
number = {4},
pages = {1726--1757},
issn = {0090-5364,2168-8966},
mrclass = {62C20 (62G10 82B20)},
mrnumber = {2435454},
doi = {10.1214/07-AOS526},
url = {https://doi.org/10.1214/07-AOS526}
}
@InProceedings{ arkin.mitchell.ea:91:bicriteria,
title = {Bicriteria shortest path problems in the plane},
author = {Arkin, Esther M and Mitchell, Joseph SB and Piatko,
Christine D},
booktitle = {Proc. 3rd Canad. Conf. Comput. Geom},
pages = {153--156},
year = {1991},
organization = {Citeseer}
}
@Article{ armstrong.serfaty.ea:14:remarks,
author = {Armstrong, Scott N. and Serfaty, Sylvia and Zeitouni,
Ofer},
title = {Remarks on a constrained optimization problem for the
{G}inibre ensemble},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {41},
year = {2014},
number = {3},
pages = {945--958},
issn = {0926-2601,1572-929X},
mrclass = {31A35 (49K10 60B20)},
mrnumber = {3264829},
mrreviewer = {Jiang\ Hu},
doi = {10.1007/s11118-014-9402-0},
url = {https://doi.org/10.1007/s11118-014-9402-0}
}
@Article{ armstrong.zeitouni:16:local,
author = {Armstrong, Scott N. and Zeitouni, Ofer},
title = {Local asymptotics for controlled martingales},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {3},
pages = {1467--1494},
issn = {1050-5164,2168-8737},
mrclass = {60G42 (93E20)},
mrnumber = {3513596},
mrreviewer = {Dominique\ L\'{e}pingle},
doi = {10.1214/15-AAP1123},
url = {https://doi.org/10.1214/15-AAP1123}
}
@Article{ arnold.crauel.ea:83:stabilization,
author = {Arnold, L. and Crauel, H. and Wihstutz, V.},
title = {Stabilization of linear systems by noise},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {21},
year = {1983},
number = {3},
pages = {451--461},
issn = {0363-0129},
mrclass = {93E15 (34F05)},
mrnumber = {696907},
mrreviewer = {O. K. Zakusilo},
doi = {10.1137/0321027},
url = {https://doi.org/10.1137/0321027}
}
@Article{ arnold:67:on,
author = {Arnold, Ludwig},
title = {On the asymptotic distribution of the eigenvalues of
random matrices},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {20},
year = {1967},
pages = {262--268},
issn = {0022-247X},
mrclass = {60.20},
mrnumber = {217833},
mrreviewer = {M. Lo\`eve},
doi = {10.1016/0022-247X(67)90089-3},
url = {https://doi.org/10.1016/0022-247X(67)90089-3}
}
@Article{ arnold:71:on,
author = {Arnold, L.},
title = {On {W}igner's semicircle law for the eigenvalues of random
matrices},
journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {19},
year = {1971},
pages = {191--198},
mrclass = {60F05},
mrnumber = {348820},
mrreviewer = {V. Ivanov (RZMat 1972 #1 V37)},
doi = {10.1007/BF00534107},
url = {https://doi.org/10.1007/BF00534107}
}
@Article{ arnold:90:stabilization,
author = {Arnold, L.},
title = {Stabilization by noise revisited},
journal = {Z. Angew. Math. Mech.},
fjournal = {Zeitschrift f\"{u}r Angewandte Mathematik und Mechanik},
volume = {70},
year = {1990},
number = {7},
pages = {235--246},
issn = {0044-2267},
mrclass = {93E15 (34D08)},
mrnumber = {1066866},
mrreviewer = {Allen Tannenbaum},
doi = {10.1002/zamm.19900700704},
url = {https://doi.org/10.1002/zamm.19900700704}
}
@Book{ arnold:98:random,
author = {Arnold, Ludwig},
title = {Random dynamical systems},
series = {Springer Monographs in Mathematics},
publisher = {Springer-Verlag, Berlin},
year = {1998},
pages = {xvi+586},
isbn = {3-540-63758-3},
mrclass = {37Hxx (37-02 60H10)},
mrnumber = {1723992},
mrreviewer = {Yuri Kifer},
doi = {10.1007/978-3-662-12878-7},
url = {https://doi.org/10.1007/978-3-662-12878-7}
}
@Article{ aronson.caffarelli.ea:83:how,
author = {Aronson, D. G. and Caffarelli, L. A. and Kamin, S.},
title = {How an initially stationary interface begins to move in
porous medium flow},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {14},
year = {1983},
number = {4},
pages = {639--658},
issn = {0036-1410},
mrclass = {35K55 (35R35 76S05)},
mrnumber = {704481},
mrreviewer = {Emmanuele di Benedetto},
doi = {10.1137/0514049},
url = {https://doi.org/10.1137/0514049}
}
@Article{ aronson.caffarelli.ea:85:interfaces,
author = {Aronson, D. G. and Caffarelli, L. A. and V\'{a}zquez, Juan
Luis},
title = {Interfaces with a corner point in one-dimensional porous
medium flow},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {38},
year = {1985},
number = {4},
pages = {375--404},
issn = {0010-3640},
mrclass = {35K65 (76S05)},
mrnumber = {792397},
mrreviewer = {Rouben Rostamian},
doi = {10.1002/cpa.3160380404},
url = {https://doi.org/10.1002/cpa.3160380404}
}
@Article{ aronson.gil.ea:98:limit,
author = {Aronson, D. G. and Gil, O. and V\'{a}zquez, J. L.},
title = {Limit behaviour of focusing solutions to nonlinear
diffusions},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {23},
year = {1998},
number = {1-2},
pages = {307--332},
issn = {0360-5302},
mrclass = {35K55 (35B40 76S05)},
mrnumber = {1608532},
doi = {10.1080/03605309808821347},
url = {https://doi.org/10.1080/03605309808821347}
}
@Article{ aronson.weinberger:78:multidimensional,
author = {Aronson, D. G. and Weinberger, H. F.},
title = {Multidimensional nonlinear diffusion arising in population
genetics},
journal = {Adv. in Math.},
fjournal = {Advances in Mathematics},
volume = {30},
year = {1978},
number = {1},
pages = {33--76},
issn = {0001-8708},
mrclass = {35B40 (35K99 92A15)},
mrnumber = {511740},
mrreviewer = {C. V. Pao},
doi = {10.1016/0001-8708(78)90130-5},
url = {https://doi.org/10.1016/0001-8708(78)90130-5}
}
@Article{ aronson:68:non-negative,
author = {Aronson, D. G.},
title = {Non-negative solutions of linear parabolic equations},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie III},
volume = {22},
year = {1968},
pages = {607--694},
issn = {0391-173X},
mrclass = {35K20},
mrnumber = {435594},
mrreviewer = {J. Chabrowski}
}
@Article{ aronszajn.smith:61:theory,
author = {Aronszajn, N. and Smith, K. T.},
title = {Theory of {B}essel potentials. {I}},
journal = {Ann. Inst. Fourier (Grenoble)},
fjournal = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
volume = {11},
year = {1961},
pages = {385--475},
issn = {0373-0956},
mrclass = {31.22},
mrnumber = {143935},
mrreviewer = {J. Deny},
url = {http://www.numdam.org/item?id=AIF_1961__11__385_0}
}
@Article{ arous.subag.ea:20:geometry,
author = {Arous, G\'{e}rard Ben and Subag, Eliran and Zeitouni,
Ofer},
title = {Geometry and temperature chaos in mixed spherical spin
glasses at low temperature: the perturbative regime},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {73},
year = {2020},
number = {8},
pages = {1732--1828},
issn = {0010-3640,1097-0312},
mrclass = {82D30 (60G15 82B44)},
mrnumber = {4113545},
mrreviewer = {Reza\ Gheissari},
doi = {10.1002/cpa.21875},
url = {https://doi.org/10.1002/cpa.21875}
}
@Article{ arous.tannenbaum.ea:03:stochastic,
author = {Arous, G\'{e}rard Ben and Tannenbaum, Allen and Zeitouni,
Ofer},
title = {Stochastic approximations to curve-shortening flows via
particle systems},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {195},
year = {2003},
number = {1},
pages = {119--142},
issn = {0022-0396,1090-2732},
mrclass = {60K35 (35K55 53C44 62L20 82C22)},
mrnumber = {2019245},
mrreviewer = {Mustapha\ Mourragui},
doi = {10.1016/S0022-0396(03)00166-9},
url = {https://doi.org/10.1016/S0022-0396(03)00166-9}
}
@Article{ arriojas.hu.ea:07:delayed,
author = {Arriojas, Mercedes and Hu, Yaozhong and Mohammed,
Salah-Eldin and Pap, Gyula},
title = {A delayed {B}lack and {S}choles formula},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {25},
year = {2007},
number = {2},
pages = {471--492},
issn = {0736-2994},
mrclass = {60H30 (34K50 60H05 60H07 60H10 91B28)},
mrnumber = {2303097},
mrreviewer = {Benjamin Jourdain},
doi = {10.1080/07362990601139669},
url = {https://doi.org/10.1080/07362990601139669}
}
@Article{ arumugam.erhardt.ea:20:existence,
author = {Arumugam, Gurusamy and Erhardt, Andr\'{e} H. and
Eswaramoorthy, Indurekha and Krishnan, Balachandran},
title = {Existence of weak solutions to the {K}eller-{S}egel
chemotaxis system with additional cross-diffusion},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {54},
year = {2020},
pages = {103090, 12},
issn = {1468-1218},
mrclass = {92C17 (35D30 35K51 35Q92)},
mrnumber = {4050860},
mrreviewer = {Chunhua Jin},
doi = {10.1016/j.nonrwa.2020.103090},
url = {https://doi.org/10.1016/j.nonrwa.2020.103090}
}
@Article{ arumugam.tyagi:21:keller-segel,
author = {Arumugam, Gurusamy and Tyagi, Jagmohan},
title = {Keller-{S}egel chemotaxis models: a review},
journal = {Acta Appl. Math.},
fjournal = {Acta Applicandae Mathematicae},
volume = {171},
year = {2021},
pages = {Paper No. 6, 82},
issn = {0167-8019},
mrclass = {92C17 (35A01 35B44 35D30 35K40 65M06 65M08)},
mrnumber = {4188348},
doi = {10.1007/s10440-020-00374-2},
url = {https://doi.org/10.1007/s10440-020-00374-2}
}
@Article{ asahiro.miyano.ea:10:weighted,
title = {Weighted nearest neighbor algorithms for the graph
exploration problem on cycles},
author = {Asahiro, Yuichi and Miyano, Eiji and Miyazaki, Shuichi and
Yoshimuta, Takuro},
journal = {Information Processing Letters},
volume = {110},
number = {3},
pages = {93--98},
year = {2010},
publisher = {Elsevier}
}
@Article{ asahiro.miyano.ea:10:weighted*1,
author = {Yuichi Asahiro and Eiji Miyano and Shuichi Miyazaki and
Takuro Yoshimuta},
title = {Weighted nearest neighbor algorithms for the graph
exploration problem on cycles},
journal = {Inf. Process. Lett.},
year = {2010},
volume = {110},
number = {3},
pages = {93--98}
}
@InCollection{ askey.roy:10:gamma,
author = {Askey, R. A. and Roy, R.},
title = {Gamma function},
booktitle = {N{IST} handbook of mathematical functions},
pages = {135--147},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33B15},
mrnumber = {2655345}
}
@Article{ asmar.berkson.ea:94:restrictions,
author = {Asmar, Nakhl\'{e} and Berkson, Earl and Bourgain, Jean},
title = {Restrictions from {$\bold R^n$} to {$\bold Z^n$} of weak
type {$(1,1)$} multipliers},
journal = {Studia Math.},
fjournal = {Studia Mathematica},
volume = {108},
year = {1994},
number = {3},
pages = {291--299},
issn = {0039-3223,1730-6337},
mrclass = {42B15 (42B25)},
mrnumber = {1259281},
mrreviewer = {Javier\ Duoandikoetxea},
doi = {10.4064/sm-108-3-291-299},
url = {https://doi.org/10.4064/sm-108-3-291-299}
}
@Book{ asmussen.glynn:07:stochastic,
author = {Asmussen, S\o ren and Glynn, Peter W.},
title = {Stochastic simulation: algorithms and analysis},
series = {Stochastic Modelling and Applied Probability},
volume = {57},
publisher = {Springer, New York},
year = {2007},
pages = {xiv+476},
isbn = {978-0-387-30679-7},
mrclass = {65C20 (60G07)},
mrnumber = {2331321},
mrreviewer = {John P. Lehoczky}
}
@Article{ asogwa.foondun.ea:20:critical,
author = {Asogwa, Sunday A. and Foondun, Mohammud and Mijena,
Jebessa B. and Nane, Erkan},
title = {Critical parameters for reaction-diffusion equations
involving space-time fractional derivatives},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {27},
year = {2020},
number = {3},
pages = {Paper No. 30, 22},
issn = {1021-9722},
mrclass = {35R11 (35B33 35B44)},
mrnumber = {4098150},
mrreviewer = {Milton dos Santos Ferreira},
doi = {10.1007/s00030-020-00629-9},
url = {https://doi.org/10.1007/s00030-020-00629-9}
}
@Article{ asogwa.mijena.ea:20:blow-up,
author = {Asogwa, Sunday A. and Mijena, Jebessa B. and Nane, Erkan},
title = {Blow-up results for space-time fractional stochastic
partial differential equations},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {53},
year = {2020},
number = {2},
pages = {357--386},
issn = {0926-2601},
mrclass = {60H15},
mrnumber = {4125095},
doi = {10.1007/s11118-019-09772-0},
url = {https://doi.org/10.1007/s11118-019-09772-0}
}
@Article{ asogwa.nane:17:intermittency,
author = {Asogwa, Sunday A. and Nane, Erkan},
title = {Intermittency fronts for space-time fractional stochastic
partial differential equations in {$(d+1)$} dimensions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {4},
pages = {1354--1374},
issn = {0304-4149},
mrclass = {60H15 (35R11 35R60)},
mrnumber = {3619274},
doi = {10.1016/j.spa.2016.08.002},
url = {https://doi.org/10.1016/j.spa.2016.08.002}
}
@Article{ assing.bichard:13:on,
author = {Assing, Sigurd and Bichard, James},
title = {On the spatial dynamics of the solution to the stochastic
heat equation},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {18},
year = {2013},
pages = {no. 70, 32},
mrclass = {60H15 (60H30 60J25)},
mrnumber = {3091716},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1214/EJP.v18-2797},
url = {https://doi.org/10.1214/EJP.v18-2797}
}
@Article{ assing.flandoli.ea:21:stochastic,
author = {Assing, Sigurd and Flandoli, Franco and Pappalettera,
Umberto},
title = {Stochastic model reduction: convergence and applications
to climate equations},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {21},
year = {2021},
number = {4},
pages = {3813--3848},
issn = {1424-3199},
mrclass = {60H10 (34E13 60G15 86A08)},
mrnumber = {4350564},
doi = {10.1007/s00028-021-00708-z},
url = {https://doi.org/10.1007/s00028-021-00708-z}
}
@Article{ assing.herman:21:extension,
author = {Assing, Sigurd and Herman, John},
title = {Extension technique for functions of diffusion operators:
a stochastic approach},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {26},
year = {2021},
pages = {Paper No. 67, 32},
mrclass = {60J45 (35J25 35J70 47G20 60J55 60J60)},
mrnumber = {4262340},
doi = {10.1214/21-ejp624},
url = {https://doi.org/10.1214/21-ejp624}
}
@Article{ assing.hilbert:18:on,
author = {Assing, Sigurd and Hilbert, Astrid},
title = {On the collapse of trial solutions for a damped-driven
nonlinear {S}chr\"{o}dinger equation},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {31},
year = {2018},
number = {11},
pages = {4955--4978},
issn = {0951-7715},
mrclass = {35Q55 (35R60 60H10)},
mrnumber = {3867225},
mrreviewer = {Guanggan Chen},
doi = {10.1088/1361-6544/aad64a},
url = {https://doi.org/10.1088/1361-6544/aad64a}
}
@Article{ assing.jacka.ea:14:monotonicity,
author = {Assing, Sigurd and Jacka, Saul and Ocejo, Adriana},
title = {Monotonicity of the value function for a two-dimensional
optimal stopping problem},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {24},
year = {2014},
number = {4},
pages = {1554--1584},
issn = {1050-5164},
mrclass = {60G40 (91G20 93E20)},
mrnumber = {3211004},
mrreviewer = {\L . Stettner},
doi = {10.1214/13-AAP956},
url = {https://doi.org/10.1214/13-AAP956}
}
@Article{ assing.manthey:03:invariant,
author = {Assing, Sigurd and Manthey, Ralf},
title = {Invariant measures for stochastic heat equations with
unbounded coefficients},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {103},
year = {2003},
number = {2},
pages = {237--256},
issn = {0304-4149},
mrclass = {60H15},
mrnumber = {1950765},
mrreviewer = {Sandra Cerrai},
doi = {10.1016/S0304-4149(02)00211-9},
url = {https://doi.org/10.1016/S0304-4149(02)00211-9}
}
@Article{ assing.manthey:95:behavior,
author = {Assing, S. and Manthey, R.},
title = {The behavior of solutions of stochastic differential
inequalities},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {103},
year = {1995},
number = {4},
pages = {493--514},
issn = {0178-8051},
mrclass = {60H10},
mrnumber = {1360202},
mrreviewer = {Toshio Yamada},
doi = {10.1007/BF01246336},
url = {https://doi.org/10.1007/BF01246336}
}
@Book{ assing.schmidt:98:continuous,
author = {Assing, Sigurd and Schmidt, Wolfgang M.},
title = {Continuous strong {M}arkov processes in dimension one},
series = {Lecture Notes in Mathematics},
volume = {1688},
note = {A stochastic calculus approach},
publisher = {Springer-Verlag, Berlin},
year = {1998},
pages = {xii+137},
isbn = {3-540-64465-2},
mrclass = {60J25 (60G44 60H10 60H20 60J60)},
mrnumber = {1724313},
mrreviewer = {M. G. Shur},
doi = {10.1007/BFb0096151},
url = {https://doi.org/10.1007/BFb0096151}
}
@Article{ assing.senf:91:on,
author = {Assing, Sigurd and Senf, Torsten},
title = {On stochastic differential equations without drift},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {36},
year = {1991},
number = {1},
pages = {21--39},
issn = {1045-1129},
mrclass = {60H10 (60H20 60J55 60J60)},
mrnumber = {1117203},
mrreviewer = {Youssef Ouknine},
doi = {10.1080/17442509108833707},
url = {https://doi.org/10.1080/17442509108833707}
}
@Article{ assing:01:infinite-dimensional,
author = {Assing, Sigurd},
title = {Infinite-dimensional {L}angevin equations: uniqueness and
rate of convergence for finite-dimensional approximations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {120},
year = {2001},
number = {2},
pages = {143--167},
issn = {0178-8051},
mrclass = {60G30 (35R15 35R60 60H15)},
mrnumber = {1841325},
mrreviewer = {Jean-Pierre Fouque},
doi = {10.1007/PL00008778},
url = {https://doi.org/10.1007/PL00008778}
}
@Article{ assing:02:pregenerator,
author = {Assing, Sigurd},
title = {A pregenerator for {B}urgers equation forced by
conservative noise},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {225},
year = {2002},
number = {3},
pages = {611--632},
issn = {0010-3616},
mrclass = {60H15 (35Q53 35R60 76D99)},
mrnumber = {1888875},
mrreviewer = {Hongjun Gao},
doi = {10.1007/s002200100606},
url = {https://doi.org/10.1007/s002200100606}
}
@Article{ assing:07:limit,
author = {Assing, Sigurd},
title = {A limit theorem for quadratic fluctuations in symmetric
simple exclusion},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {117},
year = {2007},
number = {6},
pages = {766--790},
issn = {0304-4149},
mrclass = {60K35 (60F05)},
mrnumber = {2327838},
mrreviewer = {B. M. Gurevich},
doi = {10.1016/j.spa.2006.10.005},
url = {https://doi.org/10.1016/j.spa.2006.10.005}
}
@Article{ assing:13:rigorous,
author = {Assing, Sigurd},
title = {A rigorous equation for the {C}ole-{H}opf solution of the
conservative {KPZ} equation},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {1},
year = {2013},
number = {2},
pages = {365--388},
issn = {2194-0401},
mrclass = {60H15 (35R60 60K35)},
mrnumber = {3327511},
mrreviewer = {Guanggan Chen},
doi = {10.1007/s40072-013-0013-3},
url = {https://doi.org/10.1007/s40072-013-0013-3}
}
@Article{ assing:93:on,
author = {Assing, Sigurd},
title = {On reflected solutions of stochastic differential
equations with ordinary drift},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {42},
year = {1993},
number = {3-4},
pages = {183--198},
issn = {1045-1129},
mrclass = {60H10},
mrnumber = {1291188},
mrreviewer = {Toshio Yamada},
doi = {10.1080/17442509308833818},
url = {https://doi.org/10.1080/17442509308833818}
}
@Article{ assing:99:comparison,
author = {Assing, Sigurd},
title = {Comparison of systems of stochastic partial differential
equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {82},
year = {1999},
number = {2},
pages = {259--282},
issn = {0304-4149},
mrclass = {60H15 (35B05 35Q80 35R60)},
mrnumber = {1700009},
mrreviewer = {Marek Capi\'{n}ski},
doi = {10.1016/S0304-4149(99)00031-9},
url = {https://doi.org/10.1016/S0304-4149(99)00031-9}
}
@Article{ atangana.alkahtani:15:analysis,
author = {Atangana, Abdon and Alkahtani, Badr Saad T.},
title = {Analysis of the {K}eller-{S}egel model with a fractional
derivative without singular kernel},
journal = {Entropy},
fjournal = {Entropy. An International and Interdisciplinary Journal of
Entropy and Information Studies},
volume = {17},
year = {2015},
number = {6},
pages = {4439--4453},
mrclass = {35R11 (26A33)},
mrnumber = {3365135},
doi = {10.3390/e17064439},
url = {https://doi.org/10.3390/e17064439}
}
@InCollection{ atar.viens.ea:99:robustness,
author = {Atar, Rami and Viens, Frederi and Zeitouni, Ofer},
title = {Robustness of {Z}akai's equation via {F}eynman-{K}ac
representations},
booktitle = {Stochastic analysis, control, optimization and
applications},
series = {Systems Control Found. Appl.},
pages = {339--352},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1999},
isbn = {0-8176-4078-9},
mrclass = {93E11 (60G35)},
mrnumber = {1702969},
mrreviewer = {Fred\ Espen\ Benth}
}
@Article{ atar.zeitouni:97:exponential,
author = {Atar, Rami and Zeitouni, Ofer},
title = {Exponential stability for nonlinear filtering},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {33},
year = {1997},
number = {6},
pages = {697--725},
issn = {0246-0203},
mrclass = {60J57 (60G35 93E11)},
mrnumber = {1484538},
mrreviewer = {George\ Yin},
doi = {10.1016/S0246-0203(97)80110-0},
url = {https://doi.org/10.1016/S0246-0203(97)80110-0}
}
@Article{ atar.zeitouni:97:lyapunov,
author = {Atar, Rami and Zeitouni, Ofer},
title = {Lyapunov exponents for finite state nonlinear filtering},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {35},
year = {1997},
number = {1},
pages = {36--55},
issn = {0363-0129},
mrclass = {93E11 (60J57)},
mrnumber = {1430282},
mrreviewer = {Sergei\ A.\ Avdonin},
doi = {10.1137/S0363012994272046},
url = {https://doi.org/10.1137/S0363012994272046}
}
@Article{ atar.zeitouni:98:note,
author = {Atar, Rami and Zeitouni, Ofer},
title = {A note on the memory length of optimal nonlinear filters},
journal = {Systems Control Lett.},
fjournal = {Systems \& Control Letters},
volume = {35},
year = {1998},
number = {2},
pages = {131--135},
issn = {0167-6911,1872-7956},
mrclass = {93E11},
mrnumber = {1654897},
mrreviewer = {Michael\ A.\ Kouritzin},
doi = {10.1016/S0167-6911(98)00045-0},
url = {https://doi.org/10.1016/S0167-6911(98)00045-0}
}
@Article{ athreya.butkovsky.ea:20:strong,
author = {Athreya, Siva and Butkovsky, Oleg and Mytnik, Leonid},
title = {Strong existence and uniqueness for stable stochastic
differential equations with distributional drift},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {1},
pages = {178--210},
issn = {0091-1798},
mrclass = {60H10 (60G52 60H50)},
mrnumber = {4079434},
doi = {10.1214/19-AOP1358},
url = {https://doi.org/10.1214/19-AOP1358}
}
@Article{ athreya.joseph.ea:21:small,
author = {Athreya, Siva and Joseph, Mathew and Mueller, Carl},
title = {Small ball probabilities and a support theorem for the
stochastic heat equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {5},
pages = {2548--2572},
issn = {0091-1798},
mrclass = {60H15 (60G17 60G60)},
mrnumber = {4317712},
mrreviewer = {Vivek Kumar},
doi = {10.1214/21-aop1515},
url = {https://doi.org/10.1214/21-aop1515}
}
@Article{ athreya.kolba.ea:12:propagating,
author = {Athreya, Avanti and Kolba, Tiffany and Mattingly, Jonathan
C.},
title = {Propagating {L}yapunov functions to prove noise-induced
stabilization},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {17},
year = {2012},
pages = {no. 96, 38},
issn = {1083-6489},
mrclass = {37A25 (37A30 37B25 60H10)},
mrnumber = {2994844},
mrreviewer = {Vincent\ De Valk},
doi = {10.1214/EJP.v17-2410},
url = {https://doi.org/10.1214/EJP.v17-2410}
}
@Article{ atlagh.weber:00:theoreme,
author = {Atlagh, Mohamed and Weber, Michel},
title = {Le th\'{e}or\`eme central limite presque s\^{u}r},
journal = {Expo. Math.},
fjournal = {Expositiones Mathematicae},
volume = {18},
year = {2000},
number = {2},
pages = {97--126},
issn = {0723-0869},
mrclass = {60F05 (60F17)},
mrnumber = {1759313},
mrreviewer = {Dalibor Voln\'{y}}
}
@Article{ attanasio.flandoli:09:zero-noise,
author = {Attanasio, Stefano and Flandoli, Franco},
title = {Zero-noise solutions of linear transport equations without
uniqueness: an example},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {347},
year = {2009},
number = {13-14},
pages = {753--756},
issn = {1631-073X,1778-3569},
mrclass = {60H10},
mrnumber = {2543977},
doi = {10.1016/j.crma.2009.04.027},
url = {https://doi.org/10.1016/j.crma.2009.04.027}
}
@Article{ attanasio.flandoli:11:renormalized,
author = {Attanasio, S. and Flandoli, F.},
title = {Renormalized solutions for stochastic transport equations
and the regularization by bilinear multiplication noise},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {36},
year = {2011},
number = {8},
pages = {1455--1474},
issn = {0360-5302,1532-4133},
mrclass = {60H15 (35D30 35F15 35R60)},
mrnumber = {2825598},
mrreviewer = {Marko\ Nedeljkov},
doi = {10.1080/03605302.2011.585681},
url = {https://doi.org/10.1080/03605302.2011.585681}
}
@Article{ attia.barral:14:hausdorff,
author = {Attia, Najmeddine and Barral, Julien},
title = {Hausdorff and packing spectra, large deviations, and free
energy for branching random walks in {$\Bbb{R}^d$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {331},
year = {2014},
number = {1},
pages = {139--187},
issn = {0010-3616,1432-0916},
mrclass = {60J80 (05C81 60F10 60G18)},
mrnumber = {3231998},
doi = {10.1007/s00220-014-2087-9},
url = {https://doi.org/10.1007/s00220-014-2087-9}
}
@Article{ attia.barral:17:erratum,
author = {Attia, Najmeddine and Barral, Julien},
title = {Erratum to: {H}ausdorff and packing spectra, large
deviations, and free energy for branching random walks in
{$\Bbb{R}^d$} [{MR}3231998]},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {351},
year = {2017},
number = {2},
pages = {873--875},
issn = {0010-3616,1432-0916},
mrclass = {60J80 (05C81 60F10 60G18)},
mrnumber = {3613522},
doi = {10.1007/s00220-016-2826-1},
url = {https://doi.org/10.1007/s00220-016-2826-1}
}
@Article{ auffinger.ben-arous.ea:09:poisson,
author = {Auffinger, Antonio and Ben Arous, G\'erard and P\'ech\'e,
Sandrine},
title = {Poisson convergence for the largest eigenvalues of heavy
tailed random matrices},
journal = {Ann. Inst. Henri Poincar\'e{} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'e{} Probabilit\'es et
Statistiques},
volume = {45},
year = {2009},
number = {3},
pages = {589--610},
issn = {0246-0203,1778-7017},
mrclass = {60B20 (15B52 60G52)},
mrnumber = {2548495},
mrreviewer = {Walid\ Hachem},
doi = {10.1214/08-AIHP188},
url = {https://doi.org/10.1214/08-AIHP188}
}
@Book{ auffinger.damron.ea:17:50,
author = {Auffinger, Antonio and Damron, Michael and Hanson, Jack},
title = {50 years of first-passage percolation},
series = {University Lecture Series},
volume = {68},
publisher = {American Mathematical Society, Providence, RI},
year = {2017},
pages = {v+161},
isbn = {978-1-4704-4183-8},
mrclass = {60K35 (82B43)},
mrnumber = {3729447},
mrreviewer = {Antal A. J\'{a}rai},
doi = {10.1090/ulect/068},
url = {https://doi.org/10.1090/ulect/068}
}
@Article{ auffinger.damron:13:differentiability,
author = {Auffinger, Antonio and Damron, Michael},
title = {Differentiability at the edge of the percolation cone and
related results in first-passage percolation},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {156},
year = {2013},
number = {1-2},
pages = {193--227},
issn = {0178-8051},
mrclass = {60K35 (82B43)},
mrnumber = {3055257},
mrreviewer = {Rongfeng Sun},
doi = {10.1007/s00440-012-0425-4},
url = {https://doi.org/10.1007/s00440-012-0425-4}
}
@Article{ auffinger.damron:14:simplified,
author = {Auffinger, Antonio and Damron, Michael},
title = {A simplified proof of the relation between scaling
exponents in first-passage percolation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {3},
pages = {1197--1211},
issn = {0091-1798},
mrclass = {60K35},
mrnumber = {3189069},
mrreviewer = {Marina Vachkovskaia},
doi = {10.1214/13-AOP854},
url = {https://doi.org/10.1214/13-AOP854}
}
@Article{ augeri.butez.ea:23:clt,
author = {Augeri, Fanny and Butez, Raphael and Zeitouni, Ofer},
title = {A {CLT} for the characteristic polynomial of random
{J}acobi matrices, and the {${\rm G}\beta {\rm E}$}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {186},
year = {2023},
number = {1-2},
pages = {1--89},
issn = {0178-8051,1432-2064},
mrclass = {60B20 (60F05)},
mrnumber = {4586217},
mrreviewer = {Ramon\ van Handel},
doi = {10.1007/s00440-023-01194-9},
url = {https://doi.org/10.1007/s00440-023-01194-9}
}
@Article{ auizengendler.rozanskiui:76:application,
author = {Au{i}zengendler, P. G. and Ro\v{z}anskiu{i}, M. I.},
title = {Application of the {N}ewton diagram to the problem of the
stability of linear equations with quasiperiodic
coefficients},
journal = {Differencial{\cprime}nye Uravnenija (Rjazan{\cprime})},
fjournal = {Rjazan. Gosudarstvennyu{i} Pedagogi\v{c}eskiu{i} Institut.
Matemati\v{c}esky Kafedr. Sbornik Trudov.
Differencial{\cprime}nye Uravnenija},
year = {1976},
number = {7},
pages = {3--17},
mrclass = {34D10},
mrnumber = {454192},
mrreviewer = {M. M. Konstantinov}
}
@Article{ aurzada.mukherjee.ea:21:persistence,
author = {Aurzada, Frank and Mukherjee, Sumit and Zeitouni, Ofer},
title = {Persistence exponents in {M}arkov chains},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {57},
year = {2021},
number = {3},
pages = {1411--1441},
issn = {0246-0203,1778-7017},
mrclass = {60J05 (60F10)},
mrnumber = {4291444},
mrreviewer = {Hanspeter\ Schmidli},
doi = {10.1214/20-aihp1114},
url = {https://doi.org/10.1214/20-aihp1114}
}
@Article{ auslander:66:genus,
author = {Auslander, Louis},
title = {The genus of a class of graphs},
journal = {J. Combinatorial Theory},
fjournal = {Journal of Combinatorial Theory},
volume = {1},
year = {1966},
pages = {490--497},
issn = {0021-9800},
mrclass = {55.10 (05.50)},
mrnumber = {205247},
mrreviewer = {R. L. E. Schwarzenberger}
}
@Article{ autry.carter.ea:21:metropolized,
author = {Autry, Eric A. and Carter, Daniel and Herschlag, Gregory
J. and Hunter, Zach and Mattingly, Jonathan C.},
title = {Metropolized multiscale forest recombination for
redistricting},
journal = {Multiscale Model. Simul.},
fjournal = {Multiscale Modeling \& Simulation. A SIAM
Interdisciplinary Journal},
volume = {19},
year = {2021},
number = {4},
pages = {1885--1914},
issn = {1540-3459,1540-3467},
mrclass = {60J10 (05C05 60J22 62P25 65C05)},
mrnumber = {4353134},
doi = {10.1137/21M1406854},
url = {https://doi.org/10.1137/21M1406854}
}
@Article{ autry.carter.ea:23:metropolized,
author = {Autry, Eric and Carter, Daniel and Herschlag, Gregory J.
and Hunter, Zach and Mattingly, Jonathan C.},
title = {Metropolized forest recombination for {M}onte {C}arlo
sampling of graph partitions},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {83},
year = {2023},
number = {4},
pages = {1366--1391},
issn = {0036-1399,1095-712X},
mrclass = {65C05 (05C05 91D10 91D20 91F10)},
mrnumber = {4611520},
mrreviewer = {Ad\ Ridder},
doi = {10.1137/21M1418010},
url = {https://doi.org/10.1137/21M1418010}
}
@Book{ aven:15:risk,
title = {Risk Analysis},
author = {Aven, Terje},
year = {2015},
publisher = {John Wiley \& Sons}
}
@Article{ avron.herbst.ea:78:schrodinger,
author = {Avron, J. and Herbst, I. and Simon, B.},
title = {Schr\"odinger operators with magnetic fields. {I}.
{G}eneral interactions},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {45},
year = {1978},
number = {4},
pages = {847--883},
issn = {0012-7094,1547-7398},
mrclass = {35P25 (47F05 81C05)},
mrnumber = {518109},
mrreviewer = {Richard\ B.\ Lavine},
url = {http://projecteuclid.org/euclid.dmj/1077313102}
}
@Article{ avron.seiler.ea:94:charge,
author = {Avron, Joseph E. and Seiler, Ruedi and Simon, Barry},
title = {Charge deficiency, charge transport and comparison of
dimensions},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {159},
year = {1994},
number = {2},
pages = {399--422},
issn = {0010-3616,1432-0916},
mrclass = {82D20 (47N55 82C10)},
mrnumber = {1256994},
mrreviewer = {Lech\ Jak\'obczyk},
url = {http://projecteuclid.org/euclid.cmp/1104254604}
}
@Article{ avron.seiler.ea:94:index,
author = {Avron, J. and Seiler, R. and Simon, B.},
title = {The index of a pair of projections},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {120},
year = {1994},
number = {1},
pages = {220--237},
issn = {0022-1236,1096-0783},
mrclass = {47A53 (46L10 47B10)},
mrnumber = {1262254},
mrreviewer = {H.\ Halpern},
doi = {10.1006/jfan.1994.1031},
url = {https://doi.org/10.1006/jfan.1994.1031}
}
@Article{ avron.simon:83:almost,
author = {Avron, Joseph and Simon, Barry},
title = {Almost periodic {S}chr\"odinger operators. {II}. {T}he
integrated density of states},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {50},
year = {1983},
number = {1},
pages = {369--391},
issn = {0012-7094,1547-7398},
mrclass = {34B25 (35P05 81C10)},
mrnumber = {700145},
mrreviewer = {W.\ O.\ Amrein},
doi = {10.1215/S0012-7094-83-05016-0},
url = {https://doi.org/10.1215/S0012-7094-83-05016-0}
}
@Book{ axler.bourdon.ea:01:harmonic,
author = {Axler, Sheldon and Bourdon, Paul and Ramey, Wade},
title = {Harmonic function theory},
series = {Graduate Texts in Mathematics},
volume = {137},
edition = {Second},
publisher = {Springer-Verlag, New York},
year = {2001},
pages = {xii+259},
isbn = {0-387-95218-7},
mrclass = {31-01 (30-01 46Exx)},
mrnumber = {1805196},
doi = {10.1007/978-1-4757-8137-3},
url = {https://doi.org/10.1007/978-1-4757-8137-3}
}
@Article{ ayache.roueff.ea:07:joint,
author = {Ayache, Antoine and Roueff, Fran\c{c}ois and Xiao, Yimin},
title = {Joint continuity of the local times of linear fractional
stable sheets},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {344},
year = {2007},
number = {10},
pages = {635--640},
issn = {1631-073X,1778-3569},
mrclass = {60G60 (60J55)},
mrnumber = {2334075},
mrreviewer = {No\`elia\ Viles},
doi = {10.1016/j.crma.2007.03.028},
url = {https://doi.org/10.1016/j.crma.2007.03.028}
}
@Article{ ayache.roueff.ea:07:local,
author = {Ayache, Antoine and Roueff, Fran\c{c}ois and Xiao, Yimin},
title = {Local and asymptotic properties of linear fractional
stable sheets},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {344},
year = {2007},
number = {6},
pages = {389--394},
issn = {1631-073X,1778-3569},
mrclass = {60G52 (60G17)},
mrnumber = {2310675},
mrreviewer = {Dongsheng\ Wu},
doi = {10.1016/j.crma.2007.01.017},
url = {https://doi.org/10.1016/j.crma.2007.01.017}
}
@Article{ ayache.roueff.ea:09:linear,
author = {Ayache, Antoine and Roueff, Fran\c{c}ois and Xiao, Yimin},
title = {Linear fractional stable sheets: wavelet expansion and
sample path properties},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {4},
pages = {1168--1197},
issn = {0304-4149,1879-209X},
mrclass = {60G52 (42B10 42C40 60G17 60G60)},
mrnumber = {2508569},
mrreviewer = {John\ P.\ Nolan},
doi = {10.1016/j.spa.2008.06.004},
url = {https://doi.org/10.1016/j.spa.2008.06.004}
}
@Article{ ayache.shieh.ea:11:multiparameter,
author = {Ayache, Antoine and Shieh, Narn-Rueih and Xiao, Yimin},
title = {Multiparameter multifractional {B}rownian motion: local
nondeterminism and joint continuity of the local times},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {47},
year = {2011},
number = {4},
pages = {1029--1054},
issn = {0246-0203,1778-7017},
mrclass = {60G22 (28A80 60G17 60J55)},
mrnumber = {2884223},
mrreviewer = {Dongsheng\ Wu},
doi = {10.1214/10-AIHP408},
url = {https://doi.org/10.1214/10-AIHP408}
}
@Article{ ayache.shieh.ea:20:wavelet,
author = {Ayache, Antoine and Shieh, Narn-Rueih and Xiao, Yimin},
title = {Wavelet series representation and geometric properties of
harmonizable fractional stable sheets},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {92},
year = {2020},
number = {1},
pages = {1--23},
issn = {1744-2508,1744-2516},
mrclass = {60G52 (60G17 60G18 60G60)},
mrnumber = {4037083},
mrreviewer = {Anatoliy\ Malyarenko},
doi = {10.1080/17442508.2019.1594811},
url = {https://doi.org/10.1080/17442508.2019.1594811}
}
@Article{ ayache.wu.ea:08:joint,
author = {Ayache, Antoine and Wu, Dongsheng and Xiao, Yimin},
title = {Joint continuity of the local times of fractional
{B}rownian sheets},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {44},
year = {2008},
number = {4},
pages = {727--748},
issn = {0246-0203,1778-7017},
mrclass = {60G22 (60J55)},
mrnumber = {2446295},
mrreviewer = {Anne\ Estrade},
doi = {10.1214/07-AIHP131},
url = {https://doi.org/10.1214/07-AIHP131}
}
@Article{ ayache.xiao:05:asymptotic,
author = {Ayache, Antoine and Xiao, Yimin},
title = {Asymptotic properties and {H}ausdorff dimensions of
fractional {B}rownian sheets},
journal = {J. Fourier Anal. Appl.},
fjournal = {The Journal of Fourier Analysis and Applications},
volume = {11},
year = {2005},
number = {4},
pages = {407--439},
issn = {1069-5869},
mrclass = {60G15 (28A80 42C40 60G20)},
mrnumber = {2169474},
mrreviewer = {Werner Linde},
doi = {10.1007/s00041-005-4048-3},
url = {https://doi.org/10.1007/s00041-005-4048-3}
}
@Article{ ayache.xiao:16:harmonizable,
author = {Ayache, Antoine and Xiao, Yimin},
title = {Harmonizable fractional stable fields: local
nondeterminism and joint continuity of the local times},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {126},
year = {2016},
number = {1},
pages = {171--185},
issn = {0304-4149,1879-209X},
mrclass = {60G52 (60G17 60G18 60G60 60J55)},
mrnumber = {3426515},
mrreviewer = {Anatoliy\ Malyarenko},
doi = {10.1016/j.spa.2015.08.001},
url = {https://doi.org/10.1016/j.spa.2015.08.001}
}
@InCollection{ azencott:80:grandes,
author = {Azencott, R.},
title = {Grandes d\'{e}viations et applications},
booktitle = {Eighth {S}aint {F}lour {P}robability {S}ummer
{S}chool---1978 ({S}aint {F}lour, 1978)},
series = {Lecture Notes in Math.},
volume = {774},
pages = {1--176},
publisher = {Springer, Berlin},
year = {1980},
mrclass = {58G32 (35H05 58F30 60F10 60H15 60J60)},
mrnumber = {590626},
mrreviewer = {Dominique Picard}
}
@Article{ azevedo.cuevas.ea:19:existence,
author = {Azevedo, Joelma and Cuevas, Claudio and Henriquez, Erwin},
title = {Existence and asymptotic behaviour for the time-fractional
{K}eller-{S}egel model for chemotaxis},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {292},
year = {2019},
number = {3},
pages = {462--480},
issn = {0025-584X},
mrclass = {35R11 (26A33 35B40 35C06 92C17)},
mrnumber = {3932757},
doi = {10.1002/mana.201700237},
url = {https://doi.org/10.1002/mana.201700237}
}
@Article{ azmoodeh.nourdin:19:almost,
author = {Azmoodeh, Ehsan and Nourdin, Ivan},
title = {Almost sure limit theorems on {W}iener chaos: the
non-central case},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {24},
year = {2019},
pages = {Paper No. 9, 12},
mrclass = {60F05 (60G15 60G22 60H05 60H07)},
mrnumber = {3916341},
mrreviewer = {Yong Chen},
doi = {10.1214/19-ECP212},
url = {https://doi.org/10.1214/19-ECP212}
}
@Article{ babin.ilyin.ea:11:on,
author = {Babin, Anatoli V. and Ilyin, Alexei A. and Titi, Edriss
S.},
title = {On the regularization mechanism for the periodic
{K}orteweg-de {V}ries equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {64},
year = {2011},
number = {5},
pages = {591--648},
issn = {0010-3640},
mrclass = {35Q53 (35B10 35B65 76D03)},
mrnumber = {2789490},
mrreviewer = {Olivier J. Goubet},
doi = {10.1002/cpa.20356},
url = {https://doi.org/10.1002/cpa.20356}
}
@Article{ bach:60:on,
author = {Bach, W.},
title = {On the asymptotic behaviour of harmonic functions in the
semi-space},
journal = {Ann. Polon. Math.},
fjournal = {Polska Akademia Nauk. Annales Polonici Mathematici},
volume = {9},
year = {1960/61},
pages = {137--144},
issn = {0066-2216},
mrclass = {31.00},
mrnumber = {121578},
mrreviewer = {F. W. Gehring},
doi = {10.4064/ap-9-2-137-144},
url = {https://doi.org/10.4064/ap-9-2-137-144}
}
@Article{ bachmann.cooper.ea:87:relaxation,
author = {Bachmann, Charles M. and Cooper, Leon N. and Dembo, Amir
and Zeitouni, Ofer},
title = {A relaxation model for memory with high storage density},
journal = {Proc. Nat. Acad. Sci. U.S.A.},
fjournal = {Proceedings of the National Academy of Sciences of the
United States of America},
volume = {84},
year = {1987},
number = {21},
pages = {7529--7531},
issn = {0027-8424},
mrclass = {92A09},
mrnumber = {914758},
doi = {10.1073/pnas.84.21.7529},
url = {https://doi.org/10.1073/pnas.84.21.7529}
}
@Article{ bachmann.cooper.ea:88:correction,
author = {Bachmann, Charles M. and Cooper, Leon N. and Dembo, Amir
and Zeitouni, Ofer},
title = {Correction: ``{A} relaxation model for memory with high
storage density''},
journal = {Proc. Nat. Acad. Sci. U.S.A.},
fjournal = {Proceedings of the National Academy of Sciences of the
United States of America},
volume = {85},
year = {1988},
number = {4},
pages = {1081},
issn = {0027-8424},
mrclass = {92A09},
mrnumber = {928567},
doi = {10.1073/pnas.85.4.1081},
url = {https://doi.org/10.1073/pnas.85.4.1081}
}
@Article{ bachmat.berend.ea:06:analysis,
author = {Bachmat, E. and Berend, D. and Sapir, L. and Skiena, S.
and Stolyarov, N.},
title = {Analysis of aeroplane boarding via spacetime geometry and
random matrix theory},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {39},
year = {2006},
number = {29},
pages = {L453--L459},
issn = {0305-4470},
mrclass = {60C05 (60D05)},
mrnumber = {2247486},
doi = {10.1088/0305-4470/39/29/L01},
url = {https://doi.org/10.1088/0305-4470/39/29/L01}
}
@Article{ bacry.muzy:03:log-infinitely,
author = {Bacry, E. and Muzy, J. F.},
title = {Log-infinitely divisible multifractal processes},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {236},
year = {2003},
number = {3},
pages = {449--475},
issn = {0010-3616},
mrclass = {60G07 (28A80 60G57)},
mrnumber = {2021198},
mrreviewer = {Marta Tyran-Kami\'{n}ska},
doi = {10.1007/s00220-003-0827-3},
url = {https://doi.org/10.1007/s00220-003-0827-3}
}
@Article{ bacurskaja:76:letter,
author = {Ba\v{c}urskaja, A. F.},
title = {Letter to the editors: ``{U}niqueness and convergence of
successive approximations for a certain class of {V}olterra
equations'' ({D}ifferencial{\cprime}nye {U}ravnenija {\bf
10} (1974), 1721--1724)},
journal = {Differencial{\cprime}nye Uravnenija},
fjournal = {Differencial{\cprime}nye Uravnenija},
volume = {12},
year = {1976},
number = {12},
pages = {2287},
issn = {0374-0641},
mrclass = {45D05},
mrnumber = {438059},
mrreviewer = {\v{S}. Schwabik}
}
@Article{ baer.brock:68:natural,
author = {Baer, R. M. and Brock, P.},
title = {Natural sorting over permutation spaces},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {22},
year = {1968},
pages = {385--410},
issn = {0025-5718},
mrclass = {68.00},
mrnumber = {228216},
mrreviewer = {J. McKay},
doi = {10.2307/2004668},
url = {https://doi.org/10.2307/2004668}
}
@Article{ baeumer.luks.ea:18:space-time,
author = {Baeumer, Boris and Luks, Tomasz and Meerschaert, Mark M.},
title = {Space-time fractional {D}irichlet problems},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {291},
year = {2018},
number = {17-18},
pages = {2516--2535},
issn = {0025-584X},
mrclass = {35R11 (26A33 60J35 60K99)},
mrnumber = {3897925},
mrreviewer = {Vincenzo Ambrosio},
doi = {10.1002/mana.201700111},
url = {https://doi.org/10.1002/mana.201700111}
}
@Article{ baeumer.meerschaert.ea:05:space-time,
author = {Baeumer, Boris and Meerschaert, Mark M. and Mortensen,
Jeff},
title = {Space-time fractional derivative operators},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {133},
year = {2005},
number = {8},
pages = {2273--2282},
issn = {0002-9939},
mrclass = {47G30 (26A33 60J60)},
mrnumber = {2138870},
mrreviewer = {Niels Jacob},
doi = {10.1090/S0002-9939-05-07949-9},
url = {https://doi.org/10.1090/S0002-9939-05-07949-9}
}
@Article{ baeumer.meerschaert.ea:09:brownian,
author = {Baeumer, Boris and Meerschaert, Mark M. and Nane, Erkan},
title = {Brownian subordinators and fractional {C}auchy problems},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {361},
year = {2009},
number = {7},
pages = {3915--3930},
issn = {0002-9947},
mrclass = {60J65 (60G22 60J60)},
mrnumber = {2491905},
mrreviewer = {G\"{o}tz Kersting},
doi = {10.1090/S0002-9947-09-04678-9},
url = {https://doi.org/10.1090/S0002-9947-09-04678-9}
}
@Article{ baeumer.meerschaert.ea:09:space-time,
author = {Baeumer, Boris and Meerschaert, Mark M. and Nane, Erkan},
title = {Space-time duality for fractional diffusion},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {46},
year = {2009},
number = {4},
pages = {1100--1115},
issn = {0021-9002},
mrclass = {60G52 (26A33 60F17 60G51 60H15 60J75)},
mrnumber = {2582709},
mrreviewer = {Jean-Christophe Breton},
doi = {10.1239/jap/1261670691},
url = {https://doi.org/10.1239/jap/1261670691}
}
@Article{ baeumer.meerschaert:01:stochastic,
author = {Baeumer, Boris and Meerschaert, Mark M.},
title = {Stochastic solutions for fractional {C}auchy problems},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {4},
year = {2001},
number = {4},
pages = {481--500},
issn = {1311-0454},
mrclass = {26A33 (35R10 47D07 60J35)},
mrnumber = {1874479},
mrreviewer = {Celso Mart\'{i}nez Carracedo}
}
@Article{ baghaei:24:global,
author = {Baghaei, Khadijeh},
title = {Global boundedness of solutions to a chemotaxis
consumption model with signal dependent motility and
logistic source},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {362},
year = {2024},
pages = {1131--1146},
issn = {1631-073X},
mrclass = {35K51 (35K57 92C17)},
mrnumber = {4824914}
}
@Article{ bagijan:75:quasipolynomials,
author = {Bagijan, R. A.},
title = {Quasipolynomials of {B}ern\v{s}teu{i}n-{H}ausdorff type
that are associated with functions of {M}ittag-{L}effler
type, and the {$<\rho ,\mu >$} moment problem},
journal = {Akad. Nauk Armjan. SSR Dokl.},
fjournal = {Akademija Nauk Armjanskou{i} SSR. Doklady},
volume = {61},
year = {1975},
number = {3},
pages = {129--136},
issn = {0321-1339},
mrclass = {41A30 (44A50)},
mrnumber = {412683},
mrreviewer = {R. P. Boas}
}
@Article{ bahadi-r.ceyhan:21:on,
author = {Bahadi r, Selim and Ceyhan, Elvan},
title = {On the number of weakly connected subdigraphs in random
{$k$}N{N} digraphs},
journal = {Discrete Comput. Geom.},
fjournal = {Discrete \& Computational Geometry. An International
Journal of Mathematics and Computer Science},
volume = {65},
year = {2021},
number = {1},
pages = {116--142},
issn = {0179-5376,1432-0444},
mrclass = {60G55 (05C20 05C80 60F05)},
mrnumber = {4194438},
doi = {10.1007/s00454-020-00218-8},
url = {https://doi.org/10.1007/s00454-020-00218-8}
}
@Article{ bahadir.ceyhan:18:on,
author = {Bahadir, Selim and Ceyhan, Elvan},
title = {On the number of reflexive and shared nearest neighbor
pairs in one-dimensional uniform data},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {38},
year = {2018},
number = {1},
pages = {123--137},
issn = {0208-4147,2300-8113},
mrclass = {05A05 (60F05)},
mrnumber = {3813909},
doi = {10.19195/0208-4147.38.1.7},
url = {https://doi.org/10.19195/0208-4147.38.1.7}
}
@Article{ bahadir.ceyhan:20:classification,
author = {Bahadir, Selim and Ceyhan, Elvan},
title = {A classification of isomorphism-invariant random
digraphs},
journal = {Contrib. Discrete Math.},
fjournal = {Contributions to Discrete Mathematics},
volume = {15},
year = {2020},
number = {3},
pages = {43--74},
issn = {1715-0868},
mrclass = {05C80 (05C20)},
mrnumber = {4217229},
mrreviewer = {Yuval\ Wigderson}
}
@Book{ bahouri.chemin.ea:11:fourier,
author = {Bahouri, Hajer and Chemin, Jean-Yves and Danchin,
Rapha\"{e}l},
title = {Fourier analysis and nonlinear partial differential
equations},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {343},
publisher = {Springer, Heidelberg},
year = {2011},
pages = {xvi+523},
isbn = {978-3-642-16829-1},
mrclass = {35-02 (35L72 35Q30 42-02 42B37 76B03 76D03 76N10)},
mrnumber = {2768550},
mrreviewer = {Peter R. Massopust},
doi = {10.1007/978-3-642-16830-7},
url = {https://doi.org/10.1007/978-3-642-16830-7}
}
@Book{ bai.silverstein:10:spectral,
author = {Bai, Zhidong and Silverstein, Jack W.},
title = {Spectral analysis of large dimensional random matrices},
series = {Springer Series in Statistics},
edition = {Second},
publisher = {Springer, New York},
year = {2010},
pages = {xvi+551},
isbn = {978-1-4419-0660-1},
mrclass = {60B20 (15B52 62H99 91G70 94A05)},
mrnumber = {2567175},
mrreviewer = {Wenbo V. Li},
doi = {10.1007/978-1-4419-0661-8},
url = {https://doi.org/10.1007/978-1-4419-0661-8}
}
@Article{ bai.silverstein:98:no,
author = {Bai, Z. D. and Silverstein, Jack W.},
title = {No eigenvalues outside the support of the limiting
spectral distribution of large-dimensional sample
covariance matrices},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {26},
year = {1998},
number = {1},
pages = {316--345},
issn = {0091-1798},
mrclass = {60F15 (62H99)},
mrnumber = {1617051},
doi = {10.1214/aop/1022855421},
url = {https://doi.org/10.1214/aop/1022855421}
}
@Article{ bai.silverstein:99:exact,
author = {Bai, Z. D. and Silverstein, Jack W.},
title = {Exact separation of eigenvalues of large-dimensional
sample covariance matrices},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {27},
year = {1999},
number = {3},
pages = {1536--1555},
issn = {0091-1798},
mrclass = {60F15 (62H99)},
mrnumber = {1733159},
doi = {10.1214/aop/1022677458},
url = {https://doi.org/10.1214/aop/1022677458}
}
@Article{ bai.yao:08:central,
author = {Bai, Zhidong and Yao, Jian-feng},
title = {Central limit theorems for eigenvalues in a spiked
population model},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {44},
year = {2008},
number = {3},
pages = {447--474},
issn = {0246-0203},
mrclass = {60F05 (15A18 62E20 62H25)},
mrnumber = {2451053},
mrreviewer = {Florent Benaych-Georges},
doi = {10.1214/07-AIHP118},
url = {https://doi.org/10.1214/07-AIHP118}
}
@Article{ bai.yin:88:necessary,
author = {Bai, Z. D. and Yin, Y. Q.},
title = {Necessary and sufficient conditions for almost sure
convergence of the largest eigenvalue of a {W}igner
matrix},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {16},
year = {1988},
number = {4},
pages = {1729--1741},
issn = {0091-1798},
mrclass = {60F99 (15A52)},
mrnumber = {958213},
mrreviewer = {Eric V. Slud},
url = {http://links.jstor.org/sici?sici=0091-1798(198810)16:4<1729:NASCFA>2.0.CO;2-C&origin=MSN}
}
@Article{ bai:93:convergence,
author = {Bai, Z. D.},
title = {Convergence rate of expected spectral distributions of
large random matrices. {I}. {W}igner matrices},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {21},
year = {1993},
number = {2},
pages = {625--648},
issn = {0091-1798},
mrclass = {60F15 (62H10)},
mrnumber = {1217559},
mrreviewer = {V. L. Girko},
url = {http://links.jstor.org/sici?sici=0091-1798(199304)21:2<625:CROESD>2.0.CO;2-W&origin=MSN}
}
@Article{ bai:97:circular,
author = {Bai, Z. D.},
title = {Circular law},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {25},
year = {1997},
number = {1},
pages = {494--529},
issn = {0091-1798},
mrclass = {60F15 (62H99)},
mrnumber = {1428519},
doi = {10.1214/aop/1024404298},
url = {https://doi.org/10.1214/aop/1024404298}
}
@Article{ bai:99:methodologies,
author = {Bai, Z. D.},
title = {Methodologies in spectral analysis of large-dimensional
random matrices, a review},
note = {With comments by G. J. Rodgers and Jack W. Silverstein;
and a rejoinder by the author},
journal = {Statist. Sinica},
fjournal = {Statistica Sinica},
volume = {9},
year = {1999},
number = {3},
pages = {611--677},
issn = {1017-0405},
mrclass = {60F15 (60H25)},
mrnumber = {1711663}
}
@InCollection{ baik.barraquand.ea:18:facilitated,
author = {Baik, Jinho and Barraquand, Guillaume and Corwin, Ivan and
Suidan, Toufic},
title = {Facilitated exclusion process},
booktitle = {Computation and combinatorics in dynamics, stochastics and
control},
series = {Abel Symp.},
volume = {13},
pages = {1--35},
publisher = {Springer, Cham},
year = {2018},
mrclass = {60K35},
mrnumber = {3967378},
mrreviewer = {Hirofumi Osada}
}
@Article{ baik.barraquand.ea:18:pfaffian,
author = {Baik, Jinho and Barraquand, Guillaume and Corwin, Ivan and
Suidan, Toufic},
title = {Pfaffian {S}chur processes and last passage percolation in
a half-quadrant},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {46},
year = {2018},
number = {6},
pages = {3015--3089},
issn = {0091-1798},
mrclass = {60K35 (05E05 60B20 60G55 82C43)},
mrnumber = {3857852},
mrreviewer = {Zhongyang Li},
doi = {10.1214/17-AOP1226},
url = {https://doi.org/10.1214/17-AOP1226}
}
@Article{ baik.ben-arous.ea:05:phase,
author = {Baik, Jinho and Ben Arous, G\'{e}rard and P\'{e}ch\'{e},
Sandrine},
title = {Phase transition of the largest eigenvalue for nonnull
complex sample covariance matrices},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {5},
pages = {1643--1697},
issn = {0091-1798},
mrclass = {15A52 (60F99 62E20 62H20)},
mrnumber = {2165575},
mrreviewer = {Florent Benaych-Georges},
doi = {10.1214/009117905000000233},
url = {https://doi.org/10.1214/009117905000000233}
}
@Article{ baik.buckingham.ea:08:asymptotics,
author = {Baik, Jinho and Buckingham, Robert and DiFranco, Jeffery},
title = {Asymptotics of {T}racy-{W}idom distributions and the total
integral of a {P}ainlev\'{e} {II} function},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {280},
year = {2008},
number = {2},
pages = {463--497},
issn = {0010-3616},
mrclass = {33E17 (15A52 34M55 47B35 60F99 82B44)},
mrnumber = {2395479},
mrreviewer = {Andrei A. Kapaev},
doi = {10.1007/s00220-008-0433-5},
url = {https://doi.org/10.1007/s00220-008-0433-5}
}
@Article{ baik.deift.ea:00:on,
author = {Baik, J. and Deift, P. and Johansson, K.},
title = {On the distribution of the length of the second row of a
{Y}oung diagram under {P}lancherel measure},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {10},
year = {2000},
number = {4},
pages = {702--731},
issn = {1016-443X,1420-8970},
mrclass = {05E10 (05A17 47A75 60C05)},
mrnumber = {1791137},
mrreviewer = {Martin\ V.\ Hildebrand},
doi = {10.1007/PL00001635},
url = {https://doi.org/10.1007/PL00001635}
}
@Article{ baik.deift.ea:01:optimal,
author = {Baik, Jinho and Deift, Percy and McLaughlin, Ken T.-R. and
Miller, Peter and Zhou, Xin},
title = {Optimal tail estimates for directed last passage site
percolation with geometric random variables},
journal = {Adv. Theor. Math. Phys.},
fjournal = {Advances in Theoretical and Mathematical Physics},
volume = {5},
year = {2001},
number = {6},
pages = {1207--1250},
issn = {1095-0761,1095-0753},
mrclass = {60K35 (60E15 82B43)},
mrnumber = {1926668},
mrreviewer = {Peter\ Eichelsbacher},
doi = {10.4310/ATMP.2001.v5.n6.a7},
url = {https://doi.org/10.4310/ATMP.2001.v5.n6.a7}
}
@InCollection{ baik.deift.ea:03:products,
author = {Baik, Jinho and Deift, Percy and Strahov, Eugene},
title = {Products and ratios of characteristic polynomials of
random {H}ermitian matrices},
note = {Integrability, topological solitons and beyond},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {44},
year = {2003},
number = {8},
pages = {3657--3670},
issn = {0022-2488,1089-7658},
mrclass = {82B44 (15A52)},
mrnumber = {2006773},
doi = {10.1063/1.1587875},
url = {https://doi.org/10.1063/1.1587875}
}
@Book{ baik.deift.ea:16:combinatorics,
author = {Baik, Jinho and Deift, Percy and Suidan, Toufic},
title = {Combinatorics and random matrix theory},
series = {Graduate Studies in Mathematics},
volume = {172},
publisher = {American Mathematical Society, Providence, RI},
year = {2016},
pages = {xi+461},
isbn = {978-0-8218-4841-8},
mrclass = {60B20 (30E25 33E17 41A60 47B35 82C23)},
mrnumber = {3468920},
mrreviewer = {Terence\ Tao},
doi = {10.1090/gsm/172},
url = {https://doi.org/10.1090/gsm/172}
}
@Article{ baik.deift.ea:99:on,
author = {Baik, Jinho and Deift, Percy and Johansson, Kurt},
title = {On the distribution of the length of the longest
increasing subsequence of random permutations},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {12},
year = {1999},
number = {4},
pages = {1119--1178},
issn = {0894-0347},
mrclass = {05A05 (33D45 45E05 60C05)},
mrnumber = {1682248},
mrreviewer = {David J. Aldous},
doi = {10.1090/S0894-0347-99-00307-0},
url = {https://doi.org/10.1090/S0894-0347-99-00307-0}
}
@Article{ baik.ferrari.ea:10:limit,
author = {Baik, Jinho and Ferrari, Patrik L. and P\'{e}ch\'{e},
Sandrine},
title = {Limit process of stationary {TASEP} near the
characteristic line},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {63},
year = {2010},
number = {8},
pages = {1017--1070},
issn = {0010-3640},
mrclass = {60K35},
mrnumber = {2642384},
mrreviewer = {Maria E. Vares},
doi = {10.1002/cpa.20316},
url = {https://doi.org/10.1002/cpa.20316}
}
@InCollection{ baik.ferrari.ea:14:convergence,
author = {Baik, Jinho and Ferrari, Patrik Lino and P\'ech\'e,
Sandrine},
title = {Convergence of the two-point function of the stationary
{TASEP}},
booktitle = {Singular phenomena and scaling in mathematical models},
pages = {91--110},
publisher = {Springer, Cham},
year = {2014},
isbn = {978-3-319-00785-4; 978-3-319-00786-1},
mrclass = {60K35},
mrnumber = {3205038},
mrreviewer = {Benedikt\ Jahnel},
doi = {10.1007/978-3-319-00786-1\_5},
url = {https://doi.org/10.1007/978-3-319-00786-1_5}
}
@Article{ baik.kriecherbauer.ea:03:uniform,
author = {Baik, J. and Kriecherbauer, T. and McLaughlin, K. D. T.-R.
and Miller, P. D.},
title = {Uniform asymptotics for polynomials orthogonal with
respect to a general class of discrete weights and
universality results for associated ensembles: announcement
of results},
journal = {Int. Math. Res. Not.},
fjournal = {International Mathematics Research Notices},
year = {2003},
number = {15},
pages = {821--858},
issn = {1073-7928,1687-0247},
mrclass = {41A60 (30C10 33C45 42C05 82B05)},
mrnumber = {1952523},
mrreviewer = {Peter\ D.\ Dragnev},
doi = {10.1155/S1073792803212125},
url = {https://doi.org/10.1155/S1073792803212125}
}
@Book{ baik.kriecherbauer.ea:07:discrete,
author = {Baik, J. and Kriecherbauer, T. and McLaughlin, K. T.-R.
and Miller, P. D.},
title = {Discrete orthogonal polynomials},
series = {Annals of Mathematics Studies},
volume = {164},
note = {Asymptotics and applications},
publisher = {Princeton University Press, Princeton, NJ},
year = {2007},
pages = {viii+170},
isbn = {978-0-691-12734-7; 0-691-12734-4},
mrclass = {42C05 (30E25 33C45 35Q15 37K10 37K60 60C05 82B20)},
mrnumber = {2283089},
mrreviewer = {Sylvie\ Corteel}
}
@Article{ baik.lee:16:fluctuations,
author = {Baik, Jinho and Lee, Ji Oon},
title = {Fluctuations of the free energy of the spherical
{S}herrington-{K}irkpatrick model},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {165},
year = {2016},
number = {2},
pages = {185--224},
issn = {0022-4715,1572-9613},
mrclass = {82B44 (82D30)},
mrnumber = {3554380},
doi = {10.1007/s10955-016-1610-0},
url = {https://doi.org/10.1007/s10955-016-1610-0}
}
@Article{ baik.liechty.ea:12:on,
author = {Baik, Jinho and Liechty, Karl and Schehr, Gr\'{e}gory},
title = {On the joint distribution of the maximum and its position
of the {$\rm Airy_2$} process minus a parabola},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {53},
year = {2012},
number = {8},
pages = {083303, 13},
issn = {0022-2488},
mrclass = {60G10 (60B20)},
mrnumber = {3012644},
mrreviewer = {Adrien Hardy},
doi = {10.1063/1.4746694},
url = {https://doi.org/10.1063/1.4746694}
}
@Article{ baik.liu:19:multipoint,
author = {Baik, Jinho and Liu, Zhipeng},
title = {Multipoint distribution of periodic {TASEP}},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {32},
year = {2019},
number = {3},
pages = {609--674},
issn = {0894-0347,1088-6834},
mrclass = {60K35 (82C22)},
mrnumber = {3981984},
mrreviewer = {B\'alint\ Vet\H o},
doi = {10.1090/jams/915},
url = {https://doi.org/10.1090/jams/915}
}
@Article{ baik.rains:00:limiting,
author = {Baik, Jinho and Rains, Eric M.},
title = {Limiting distributions for a polynuclear growth model with
external sources},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {100},
year = {2000},
number = {3-4},
pages = {523--541},
issn = {0022-4715},
mrclass = {82C24 (60K35 82C44)},
mrnumber = {1788477},
mrreviewer = {David J. Aldous},
doi = {10.1023/A:1018615306992},
url = {https://doi.org/10.1023/A:1018615306992}
}
@Article{ baik.rains:01:algebraic,
author = {Baik, Jinho and Rains, Eric M.},
title = {Algebraic aspects of increasing subsequences},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {109},
year = {2001},
number = {1},
pages = {1--65},
issn = {0012-7094,1547-7398},
mrclass = {05E15 (05A15 05E05 60C05)},
mrnumber = {1844203},
mrreviewer = {Ira\ Gessel},
doi = {10.1215/S0012-7094-01-10911-3},
url = {https://doi.org/10.1215/S0012-7094-01-10911-3}
}
@Article{ baik.rains:01:asymptotics,
author = {Baik, Jinho and Rains, Eric M.},
title = {The asymptotics of monotone subsequences of involutions},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {109},
year = {2001},
number = {2},
pages = {205--281},
issn = {0012-7094},
mrclass = {60C05 (05E10 45E10)},
mrnumber = {1845180},
mrreviewer = {Bernhard Gittenberger},
doi = {10.1215/S0012-7094-01-10921-6},
url = {https://doi.org/10.1215/S0012-7094-01-10921-6}
}
@InCollection{ baik.rains:01:symmetrized,
author = {Baik, Jinho and Rains, Eric M.},
title = {Symmetrized random permutations},
booktitle = {Random matrix models and their applications},
series = {Math. Sci. Res. Inst. Publ.},
volume = {40},
pages = {1--19},
publisher = {Cambridge Univ. Press, Cambridge},
year = {2001},
mrclass = {82B41 (60C05 82B05 82B43)},
mrnumber = {1842780},
mrreviewer = {Estelle L. Basor},
doi = {10.2977/prims/1145475964},
url = {https://doi.org/10.2977/prims/1145475964}
}
@Article{ baik.silverstein:06:eigenvalues,
author = {Baik, Jinho and Silverstein, Jack W.},
title = {Eigenvalues of large sample covariance matrices of spiked
population models},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {97},
year = {2006},
number = {6},
pages = {1382--1408},
issn = {0047-259X,1095-7243},
mrclass = {60F15 (15A18 62H99)},
mrnumber = {2279680},
mrreviewer = {Florent\ Benaych-Georges},
doi = {10.1016/j.jmva.2005.08.003},
url = {https://doi.org/10.1016/j.jmva.2005.08.003}
}
@Article{ baik.wang:13:on,
author = {Baik, Jinho and Wang, Dong},
title = {On the largest eigenvalue of a {H}ermitian random matrix
model with spiked external source {II}: {H}igher rank
cases},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2013},
number = {14},
pages = {3304--3370},
issn = {1073-7928},
mrclass = {60B20 (15B52)},
mrnumber = {3085761},
mrreviewer = {Florent Benaych-Georges},
doi = {10.1093/imrn/rns136},
url = {https://doi.org/10.1093/imrn/rns136}
}
@Article{ baik:00:random,
author = {Baik, Jinho},
title = {Random vicious walks and random matrices},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {53},
year = {2000},
number = {11},
pages = {1385--1410},
issn = {0010-3640,1097-0312},
mrclass = {60G50 (82B41)},
mrnumber = {1773413},
mrreviewer = {Gerold\ Alsmeyer},
doi = {10.1002/1097-0312(200011)53:11<1385::aid-cpa3>3.0.co;2-t},
url = {https://doi.org/10.1002/1097-0312(200011)53:11<1385::aid-cpa3>3.0.co;2-t}
}
@Article{ baik:06:painleve,
author = {Baik, Jinho},
title = {Painlev\'e{} formulas of the limiting distributions for
nonnull complex sample covariance matrices},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {133},
year = {2006},
number = {2},
pages = {205--235},
issn = {0012-7094,1547-7398},
mrclass = {33E17 (15A52 60E99 60K35)},
mrnumber = {2225691},
mrreviewer = {Florent\ Benaych-Georges},
doi = {10.1215/S0012-7094-06-13321-5},
url = {https://doi.org/10.1215/S0012-7094-06-13321-5}
}
@Book{ bain.crisan:09:fundamentals,
author = {Bain, Alan and Crisan, Dan},
title = {Fundamentals of stochastic filtering},
series = {Stochastic Modelling and Applied Probability},
volume = {60},
publisher = {Springer, New York},
year = {2009},
pages = {xiv+390},
isbn = {978-0-387-76895-3},
mrclass = {60G35 (60-02 93E11)},
mrnumber = {2454694},
mrreviewer = {Monique Pontier},
doi = {10.1007/978-0-387-76896-0},
url = {https://doi.org/10.1007/978-0-387-76896-0}
}
@Article{ baiod.kessler.ea:88:dynamical,
title = {Dynamical scaling of the surface of finite-density
ballistic aggregation},
author = {Baiod, R. and Kessler, D. and Ramanlal, P. and Sander, L.
and Savit, R.},
journal = {Phys. Rev. A},
volume = {38},
issue = {7},
pages = {3672--3679},
numpages = {0},
year = {1988},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.38.3672},
url = {https://link.aps.org/doi/10.1103/PhysRevA.38.3672}
}
@Article{ baker.forrester:97:finite-n,
author = {Baker, T. H. and Forrester, P. J.},
title = {Finite-{$N$} fluctuation formulas for random matrices},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {88},
year = {1997},
number = {5-6},
pages = {1371--1386},
issn = {0022-4715},
mrclass = {82B41 (11Z05)},
mrnumber = {1478074},
mrreviewer = {Estelle L. Basor},
doi = {10.1007/BF02732439},
url = {https://doi.org/10.1007/BF02732439}
}
@Article{ bakhtin.hurth.ea:15:regularity,
author = {Bakhtin, Yuri and Hurth, Tobias and Mattingly, Jonathan
C.},
title = {Regularity of invariant densities for 1{D} systems with
random switching},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {28},
year = {2015},
number = {11},
pages = {3755--3787},
issn = {0951-7715,1361-6544},
mrclass = {37H10 (60J25)},
mrnumber = {3424891},
mrreviewer = {Sascha\ Troscheit},
doi = {10.1088/0951-7715/28/11/3755},
url = {https://doi.org/10.1088/0951-7715/28/11/3755}
}
@Article{ bakhtin.hurth.ea:18:smooth,
author = {Bakhtin, Yuri and Hurth, Tobias and Lawley, Sean D. and
Mattingly, Jonathan C.},
title = {Smooth invariant densities for random switching on the
torus},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {31},
year = {2018},
number = {4},
pages = {1331--1350},
issn = {0951-7715,1361-6544},
mrclass = {37H10 (37E30 60J25)},
mrnumber = {3816636},
mrreviewer = {M.\ L.\ Blank},
doi = {10.1088/1361-6544/aaa04f},
url = {https://doi.org/10.1088/1361-6544/aaa04f}
}
@Article{ bakhtin.mattingly:05:stationary,
author = {Bakhtin, Yuri and Mattingly, Jonathan C.},
title = {Stationary solutions of stochastic differential equations
with memory and stochastic partial differential equations},
journal = {Commun. Contemp. Math.},
fjournal = {Communications in Contemporary Mathematics},
volume = {7},
year = {2005},
number = {5},
pages = {553--582},
issn = {0219-1997,1793-6683},
mrclass = {60H10 (35Q30 35R60 37H10 60H15 76D05 76M35)},
mrnumber = {2175090},
mrreviewer = {Pedro\ Mar\'in Rubio},
doi = {10.1142/S0219199705001878},
url = {https://doi.org/10.1142/S0219199705001878}
}
@Article{ bakhtin.mattingly:07:malliavin,
author = {Bakhtin, Yuri and Mattingly, Jonathan C.},
title = {Malliavin calculus for infinite-dimensional systems with
additive noise},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {249},
year = {2007},
number = {2},
pages = {307--353},
issn = {0022-1236,1096-0783},
mrclass = {60H07 (76D05 76M35)},
mrnumber = {2345335},
mrreviewer = {Sandra\ Cerrai},
doi = {10.1016/j.jfa.2007.02.011},
url = {https://doi.org/10.1016/j.jfa.2007.02.011}
}
@Article{ bakhtin.mueller:10:solutions,
author = {Bakhtin, Yuri and Mueller, Carl},
title = {Solutions of semilinear wave equation via stochastic
cascades},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {4},
year = {2010},
number = {3},
pages = {425--431},
mrclass = {60H30 (35R60 60H15)},
mrnumber = {2677199},
mrreviewer = {Konstantinos B. Liaskos},
doi = {10.31390/cosa.4.3.07},
url = {https://doi.org/10.31390/cosa.4.3.07}
}
@Article{ bakry.cohen.ea:17:preface,
author = {Bakry, Dominique and Cohen, Serge and Hairer, Martin and
Roquejoffre, Jean-Michel},
title = {Preface [{I}nteractions between probability and partial
differential equations]},
journal = {Ann. Fac. Sci. Toulouse Math. (6)},
fjournal = {Annales de la Facult\'{e} des Sciences de Toulouse.
Math\'{e}matiques. S\'{e}rie 6},
volume = {26},
year = {2017},
number = {4},
pages = {i--ii},
issn = {0240-2963},
mrclass = {35-06 (35R60 58J65 60-06 76-06)},
mrnumber = {3746640},
doi = {10.5802/afst.1550},
url = {https://doi.org/10.5802/afst.1550}
}
@InCollection{ bakry.emery:85:diffusions,
author = {Bakry, D. and \'{E}mery, Michel},
title = {Diffusions hypercontractives},
booktitle = {S\'{e}minaire de probabilit\'{e}s, {XIX}, 1983/84},
series = {Lecture Notes in Math.},
volume = {1123},
pages = {177--206},
publisher = {Springer, Berlin},
year = {1985},
mrclass = {60J60 (58C40 58G32)},
mrnumber = {889476},
mrreviewer = {Jacques Vauthier},
doi = {10.1007/BFb0075847},
url = {https://doi.org/10.1007/BFb0075847}
}
@Book{ bakry.gentil.ea:14:analysis,
author = {Bakry, Dominique and Gentil, Ivan and Ledoux, Michel},
title = {Analysis and geometry of {M}arkov diffusion operators},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {348},
publisher = {Springer, Cham},
year = {2014},
pages = {xx+552},
isbn = {978-3-319-00226-2; 978-3-319-00227-9},
mrclass = {60J25 (58J65 60J35 60J60)},
mrnumber = {3155209},
mrreviewer = {Ming Liao},
doi = {10.1007/978-3-319-00227-9},
url = {https://doi.org/10.1007/978-3-319-00227-9}
}
@InCollection{ bakry:06:functional,
author = {Bakry, Dominique},
title = {Functional inequalities for {M}arkov semigroups},
booktitle = {Probability measures on groups: recent directions and
trends},
pages = {91--147},
publisher = {Tata Inst. Fund. Res., Mumbai},
year = {2006},
mrclass = {60J35 (60J25 60J45)},
mrnumber = {2213477},
mrreviewer = {Kazuaki Taira}
}
@Article{ bal.garnier.ea:12:corrector,
author = {Bal, Guillaume and Garnier, Josselin and Gu, Yu and Jing,
Wenjia},
title = {Corrector theory for elliptic equations with long-range
correlated random potential},
journal = {Asymptot. Anal.},
fjournal = {Asymptotic Analysis},
volume = {77},
year = {2012},
number = {3-4},
pages = {123--145},
issn = {0921-7134},
mrclass = {35B27 (35S15)},
mrnumber = {2977330},
mrreviewer = {Claudia M. Timofte}
}
@Article{ bal.gu.ea:18:radiative,
author = {Bal, Guillaume and Gu, Yu and Pinaud, Olivier},
title = {Radiative transport limit of {D}irac equations with random
electromagnetic field},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {43},
year = {2018},
number = {5},
pages = {699--732},
issn = {0360-5302},
mrclass = {35Q41 (35R60 60G60 60H15)},
mrnumber = {3920520},
mrreviewer = {Le Chen},
doi = {10.1080/03605302.2018.1472105},
url = {https://doi.org/10.1080/03605302.2018.1472105}
}
@Article{ bal.gu:15:limiting,
author = {Bal, Guillaume and Gu, Yu},
title = {Limiting models for equations with large random potential:
a review},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {13},
year = {2015},
number = {3},
pages = {729--748},
issn = {1539-6746},
mrclass = {35B27 (35R60 60H15)},
mrnumber = {3318383},
mrreviewer = {Juan Casado-D\'{i}az},
doi = {10.4310/CMS.2015.v13.n3.a7},
url = {https://doi.org/10.4310/CMS.2015.v13.n3.a7}
}
@Article{ bal:10:homogenization,
author = {Bal, Guillaume},
title = {Homogenization with large spatial random potential},
journal = {Multiscale Model. Simul.},
fjournal = {Multiscale Modeling \& Simulation. A SIAM
Interdisciplinary Journal},
volume = {8},
year = {2010},
number = {4},
pages = {1484--1510},
issn = {1540-3459},
mrclass = {35B27 (35P20 35R60 35S10 60G60 60H05)},
mrnumber = {2718269},
mrreviewer = {Markus Schmuck},
doi = {10.1137/090754066},
url = {https://doi.org/10.1137/090754066}
}
@Article{ bal:11:convergence,
author = {Bal, Guillaume},
title = {Convergence to homogenized or stochastic partial
differential equations},
journal = {Appl. Math. Res. Express. AMRX},
fjournal = {Applied Mathematics Research Express. AMRX},
year = {2011},
number = {2},
pages = {215--241},
issn = {1687-1200},
mrclass = {35K30 (35B25 35B27 35K15 35R60 60H15)},
mrnumber = {2835990},
mrreviewer = {Manuela Chaves},
doi = {10.1093/amrx/abr006},
url = {https://doi.org/10.1093/amrx/abr006}
}
@Article{ balan.chen.ea:22:exact,
author = {Balan, Raluca M. and Chen, Le and Chen, Xia},
title = {Exact asymptotics of the stochastic wave equation with
time-independent noise},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {58},
year = {2022},
number = {3},
pages = {1590--1620},
issn = {0246-0203},
mrclass = {60H15 (37H15 60H07)},
mrnumber = {4452644},
doi = {10.1214/21-aihp1207},
url = {https://doi.org/10.1214/21-aihp1207}
}
@Article{ balan.chen.ea:22:parabolic,
author = {Balan, Raluca and Chen, Le and Ma, Yiping},
title = {Parabolic {A}nderson model with rough noise in space and
rough initial conditions},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {27},
year = {2022},
pages = {Paper No. 65, 12},
mrclass = {60H15 (60H07)},
mrnumber = {4529633},
doi = {10.1214/22-ecp506},
url = {https://doi.org/10.1214/22-ecp506}
}
@Article{ balan.chen:18:parabolic,
author = {Balan, Raluca M. and Chen, Le},
title = {Parabolic {A}nderson model with space-time homogeneous
{G}aussian noise and rough initial condition},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {31},
year = {2018},
number = {4},
pages = {2216--2265},
issn = {0894-9840},
mrclass = {60H15 (60H07)},
mrnumber = {3866613},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s10959-017-0772-2},
url = {https://doi.org/10.1007/s10959-017-0772-2}
}
@Article{ balan.conus:14:note,
author = {Balan, Raluca M. and Conus, Daniel},
title = {A note on intermittency for the fractional heat equation},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {95},
year = {2014},
pages = {6--14},
issn = {0167-7152},
mrclass = {60H15 (35A01 35R11 35R60 60H07)},
mrnumber = {3262944},
doi = {10.1016/j.spl.2014.08.001},
url = {https://doi.org/10.1016/j.spl.2014.08.001}
}
@Article{ balan.conus:16:intermittency,
author = {Balan, Raluca M. and Conus, Daniel},
title = {Intermittency for the wave and heat equations with
fractional noise in time},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {2},
pages = {1488--1534},
issn = {0091-1798},
mrclass = {60H15 (37H15 60H07)},
mrnumber = {3474476},
mrreviewer = {Jingyu Huang},
doi = {10.1214/15-AOP1005},
url = {https://doi.org/10.1214/15-AOP1005}
}
@Article{ balan.dumitrescu.ea:10:asymptotically,
author = {Balan, R. M. and Dumitrescu, L. and Schiopu-Kratina, I.},
title = {Asymptotically optimal estimating equation with strongly
consistent solutions for longitudinal data},
journal = {Math. Methods Statist.},
fjournal = {Mathematical Methods of Statistics},
volume = {19},
year = {2010},
number = {2},
pages = {93--120},
issn = {1066-5307},
mrclass = {62F12 (60G42 62J12)},
mrnumber = {2723144},
mrreviewer = {Aleksey Min},
doi = {10.3103/S1066530710020018},
url = {https://doi.org/10.3103/S1066530710020018}
}
@Article{ balan.huang.ea:25:gaussian,
author = {Balan, Raluca M. and Huang, Jingyu and Wang, Xiong and
Xia, Panqiu and Yuan, Wangjun},
title = {Gaussian fluctuations for the wave equation under rough
random perturbations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {182},
year = {2025},
pages = {Paper No. 104569, 22},
issn = {0304-4149,1879-209X},
mrclass = {60H15 (60F05 60G15 60H07)},
mrnumber = {4854732},
mrreviewer = {Vadym\ Radchenko},
doi = {10.1016/j.spa.2025.104569},
url = {https://doi.org/10.1016/j.spa.2025.104569}
}
@Article{ balan.ivanoff:02:markov,
author = {Balan, R. M. and Ivanoff, B. G.},
title = {A {M}arkov property for set-indexed processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {15},
year = {2002},
number = {3},
pages = {553--588},
issn = {0894-9840},
mrclass = {60G07 (35K05 60G51)},
mrnumber = {1922438},
mrreviewer = {Robert J. Adler},
doi = {10.1023/A:1016296330187},
url = {https://doi.org/10.1023/A:1016296330187}
}
@Article{ balan.jakubowski.ea:16:functional,
author = {Balan, Raluca and Jakubowski, Adam and Louhichi, Sana},
title = {Functional convergence of linear processes with
heavy-tailed innovations},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {29},
year = {2016},
number = {2},
pages = {491--526},
issn = {0894-9840},
mrclass = {60F17 (60G52)},
mrnumber = {3500408},
mrreviewer = {Danijel Krizmani\'{c}},
doi = {10.1007/s10959-014-0581-9},
url = {https://doi.org/10.1007/s10959-014-0581-9}
}
@Article{ balan.jankovic:19:asymptotic,
author = {Balan, R. M. and Jankovic, D.},
title = {Asymptotic theory for longitudinal data with missing
responses adjusted by inverse probability weights},
journal = {Math. Methods Statist.},
fjournal = {Mathematical Methods of Statistics},
volume = {28},
year = {2019},
number = {2},
pages = {83--103},
issn = {1066-5307},
mrclass = {62F12 (62J12)},
mrnumber = {3989317},
mrreviewer = {Chunpeng Fan},
doi = {10.3103/S1066530719020017},
url = {https://doi.org/10.3103/S1066530719020017}
}
@Article{ balan.jolis.ea:15:spdes,
author = {Balan, Raluca M. and Jolis, Maria and Quer-Sardanyons,
Llu\'{i}s},
title = {S{PDE}s with affine multiplicative fractional noise in
space with index {$\frac14 2.0.CO;2-F&origin=MSN}
}
@Article{ bruned.chandra.ea:21:renormalising,
author = {Bruned, Y. and Chandra, A. and Chevyrev, I. and Hairer,
M.},
title = {Renormalising {SPDE}s in regularity structures},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {23},
year = {2021},
number = {3},
pages = {869--947},
issn = {1435-9855},
mrclass = {60L30 (16T05 54C35)},
mrnumber = {4210726},
mrreviewer = {Torstein K. Nilssen},
doi = {10.4171/jems/1025},
url = {https://doi.org/10.4171/jems/1025}
}
@Article{ bruned.gabriel.ea:21:geometric,
author = {Bruned, Y. and Gabriel, F. and Hairer, M. and Zambotti,
L.},
title = {Geometric stochastic heat equations},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {35},
year = {2021},
number = {1},
pages = {1--80},
issn = {0894-0347},
mrclass = {60H15},
mrnumber = {4322389},
doi = {10.1090/jams/977},
url = {https://doi.org/10.1090/jams/977}
}
@Article{ bruned.hairer.ea:19:algebraic,
author = {Bruned, Y. and Hairer, M. and Zambotti, L.},
title = {Algebraic renormalisation of regularity structures},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {215},
year = {2019},
number = {3},
pages = {1039--1156},
issn = {0020-9910},
mrclass = {35R60 (16T05 35A30 60H15 82C28)},
mrnumber = {3935036},
mrreviewer = {Peter E. Kloeden},
doi = {10.1007/s00222-018-0841-x},
url = {https://doi.org/10.1007/s00222-018-0841-x}
}
@Article{ bruned.hairer.ea:20:renormalisation,
author = {Bruned, Yvain and Hairer, Martin and Zambotti, Lorenzo},
title = {Renormalisation of stochastic partial differential
equations},
journal = {Eur. Math. Soc. Newsl.},
fjournal = {European Mathematical Society. Newsletter},
number = {115},
year = {2020},
pages = {7--11},
issn = {1027-488X},
mrclass = {60L30 (05C05 16S99 16T05 60L70)},
mrnumber = {4226805},
doi = {10.4171/news/115/3},
url = {https://doi.org/10.4171/news/115/3}
}
@Article{ brunet.derrida.ea:06:noisy,
author = {Brunet, E. and Derrida, B. and Mueller, A. H. and Munier,
S.},
title = {Noisy traveling waves: effect of selection on
genealogies},
journal = {Europhys. Lett.},
fjournal = {Europhysics Letters},
volume = {76},
year = {2006},
number = {1},
pages = {1--7},
issn = {0295-5075,1286-4854},
mrclass = {82C31 (92D15)},
mrnumber = {2299937},
doi = {10.1209/epl/i2006-10224-4},
url = {https://doi.org/10.1209/epl/i2006-10224-4}
}
@Article{ brunet.derrida.ea:07:effect,
author = {Brunet, \'E. and Derrida, B. and Mueller, A. H. and
Munier, S.},
title = {Effect of selection on ancestry: an exactly soluble case
and its phenomenological generalization},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {76},
year = {2007},
number = {4},
pages = {041104, 20},
issn = {1539-3755,1550-2376},
mrclass = {82B99},
mrnumber = {2365627},
doi = {10.1103/PhysRevE.76.041104},
url = {https://doi.org/10.1103/PhysRevE.76.041104}
}
@Article{ brunet.derrida:00:ground,
title = {Ground state energy of a non-integer number of particles
with \ensuremath{\delta} attractive interactions},
journal = {Phys. A: Stat. Mech. Appl.},
fjournal = {Physica A: Statistical Mechanics and its Applications},
volume = {279},
number = {1},
pages = {398--407},
year = {2000},
issn = {0378-4371},
doi = {https://doi.org/10.1016/S0378-4371(99)00526-9},
url = {https://www.sciencedirect.com/science/article/pii/S0378437199005269},
author = {Brunet, \'{E}ric and Derrida, Bernard}
}
@Article{ brunet.derrida:00:probability,
author = {Brunet, \'{E}ric and Derrida, Bernard},
title = {Probability distribution of the free energy of a directed
polymer in a random medium},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {61},
year = {2000},
number = {6, part B},
pages = {6789--6801},
issn = {1539-3755},
mrclass = {82D60 (82B44)},
mrnumber = {1792890},
doi = {10.1103/PhysRevE.61.6789},
url = {https://doi.org/10.1103/PhysRevE.61.6789}
}
@Article{ brunet.derrida:01:effect,
author = {Brunet, \'{E}ric and Derrida, Bernard},
title = {Effect of microscopic noise on front propagation},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {103},
year = {2001},
number = {1-2},
pages = {269--282},
issn = {0022-4715},
mrclass = {82C80 (35K55)},
mrnumber = {1828730},
doi = {10.1023/A:1004875804376},
url = {https://doi.org/10.1023/A:1004875804376}
}
@Article{ brunet.derrida:04:exactly,
author = {Brunet, \'Eric and Derrida, Bernard},
title = {Exactly soluble noisy traveling-wave equation appearing in
the problem of directed polymers in a random medium},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {70},
year = {2004},
number = {1},
pages = {016106, 5},
issn = {1539-3755,1550-2376},
mrclass = {82D60 (82B31 82B44)},
mrnumber = {2125704},
doi = {10.1103/PhysRevE.70.016106},
url = {https://doi.org/10.1103/PhysRevE.70.016106}
}
@Article{ brunet.derrida:11:branching,
author = {Brunet, \'Eric and Derrida, Bernard},
title = {A branching random walk seen from the tip},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {143},
year = {2011},
number = {3},
pages = {420--446},
issn = {0022-4715,1572-9613},
mrclass = {60J80 (60G57 60J65 62G32 82C31)},
mrnumber = {2799946},
mrreviewer = {Alexander\ Iksanov},
doi = {10.1007/s10955-011-0185-z},
url = {https://doi.org/10.1007/s10955-011-0185-z}
}
@Article{ brunet.derrida:13:genealogies,
author = {Brunet, \'Eric and Derrida, Bernard},
title = {Genealogies in simple models of evolution},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2013},
number = {1},
pages = {P01006, 20},
issn = {1742-5468},
mrclass = {92D15},
mrnumber = {3036206},
doi = {10.1088/1742-5468/2013/01/p01006},
url = {https://doi.org/10.1088/1742-5468/2013/01/p01006}
}
@Article{ brunet.derrida:15:exactly,
author = {Brunet, \'Eric and Derrida, Bernard},
title = {An exactly solvable travelling wave equation in the
{F}isher-{KPP} class},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {161},
year = {2015},
number = {4},
pages = {801--820},
issn = {0022-4715,1572-9613},
mrclass = {35K91 (34B40 35C07)},
mrnumber = {3413633},
doi = {10.1007/s10955-015-1350-6},
url = {https://doi.org/10.1007/s10955-015-1350-6}
}
@Article{ brunet.derrida:97:shift,
author = {Brunet, Eric and Derrida, Bernard},
title = {Shift in the velocity of a front due to a cutoff},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {56},
year = {1997},
number = {3, part A},
pages = {2597--2604},
issn = {1539-3755},
mrclass = {82C31 (35K55 35Q99)},
mrnumber = {1473413},
doi = {10.1103/PhysRevE.56.2597},
url = {https://doi.org/10.1103/PhysRevE.56.2597}
}
@Article{ bruno.levi.ea:09:transition,
title = {Transition to superdiffusive behavior in intracellular
actin-based transport mediated by molecular motors},
author = {Bruno, L. and Levi, V. and Brunstein, M. and Desp\'osito,
M. A.},
journal = {Phys. Rev. E},
volume = {80},
issue = {1},
pages = {011912},
numpages = {7},
year = {2009},
month = {Jul},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.80.011912},
url = {https://link.aps.org/doi/10.1103/PhysRevE.80.011912}
}
@Book{ brychkov:08:handbook,
author = {Brychkov, Yury A.},
title = {Handbook of special functions},
note = {Derivatives, integrals, series and other formulas},
publisher = {CRC Press, Boca Raton, FL},
year = {2008},
pages = {xx+680},
isbn = {978-1-58488-956-4},
mrclass = {33-00 (33Bxx 33Cxx 33Exx)},
mrnumber = {2460394},
mrreviewer = {Kh\'{e}lifa Trim\`eche}
}
@Article{ brydges.frohlich.ea:83:new,
author = {Brydges, David C. and Fr\"{o}hlich, J\"{u}rg and Sokal,
Alan D.},
title = {A new proof of the existence and nontriviality of the
continuum {$\varphi ^{4}_{2}$} and {$\varphi ^{4}_{3}$}
quantum field theories},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {91},
year = {1983},
number = {2},
pages = {141--186},
issn = {0010-3616},
mrclass = {81E08},
mrnumber = {723546},
mrreviewer = {Gerhard C. Hegerfeldt},
url = {http://projecteuclid.org/euclid.cmp/1103940528}
}
@Article{ brydges.guadagni.ea:04:finite,
author = {Brydges, David C. and Guadagni, G. and Mitter, P. K.},
title = {Finite range decomposition of {G}aussian processes},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {115},
year = {2004},
number = {1-2},
pages = {415--449},
issn = {0022-4715},
mrclass = {82B05 (82B28)},
mrnumber = {2070102},
doi = {10.1023/B:JOSS.0000019818.81237.66},
url = {https://doi.org/10.1023/B:JOSS.0000019818.81237.66}
}
@Article{ brydges.mitter.ea:03:critical,
author = {Brydges, D. C. and Mitter, P. K. and Scoppola, B.},
title = {Critical {$(\Phi^4)_{3,\epsilon}$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {240},
year = {2003},
number = {1-2},
pages = {281--327},
issn = {0010-3616},
mrclass = {81T08 (81T17)},
mrnumber = {2004988},
mrreviewer = {Shigeaki Nagamachi},
doi = {10.1007/s00220-003-0895-4},
url = {https://doi.org/10.1007/s00220-003-0895-4}
}
@Article{ brydges.munoz-maya:91:application,
author = {Brydges, David C. and Mu\~{n}oz Maya, Ismael},
title = {An application of {B}erezin integration to large
deviations},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {4},
year = {1991},
number = {2},
pages = {371--389},
issn = {0894-9840},
mrclass = {60J27 (58C50 58D30 60F10 60J55)},
mrnumber = {1100240},
mrreviewer = {Christian Maes},
doi = {10.1007/BF01258743},
url = {https://doi.org/10.1007/BF01258743}
}
@Article{ brydges.slade:15:renormalisation,
author = {Brydges, David C. and Slade, Gordon},
title = {A renormalisation group method. {V}. {A} single
renormalisation group step},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {159},
year = {2015},
number = {3},
pages = {589--667},
issn = {0022-4715},
mrclass = {82B28 (82B27)},
mrnumber = {3332942},
mrreviewer = {Uwe C. T\"{a}uber},
doi = {10.1007/s10955-014-1167-8},
url = {https://doi.org/10.1007/s10955-014-1167-8}
}
@Article{ brydges.slade:96:statistical,
author = {Brydges, David C. and Slade, Gordon},
title = {Statistical mechanics of the {$2$}-dimensional focusing
nonlinear {S}chr\"{o}dinger equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {182},
year = {1996},
number = {2},
pages = {485--504},
issn = {0010-3616},
mrclass = {82C27 (35Q55)},
mrnumber = {1447302},
mrreviewer = {Tohru Ozawa},
url = {http://projecteuclid.org/euclid.cmp/1104288157}
}
@Article{ brydges.spencer:85:self-avoiding,
author = {Brydges, David and Spencer, Thomas},
title = {Self-avoiding walk in {$5$} or more dimensions},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {97},
year = {1985},
number = {1-2},
pages = {125--148},
issn = {0010-3616},
mrclass = {82A67 (60J15 82A25 82A43)},
mrnumber = {782962},
mrreviewer = {Gregory F. Lawler},
url = {http://projecteuclid.org/euclid.cmp/1103941982}
}
@Article{ brzezniak.capinski.ea:88:convergence,
author = {Brze\'{z}niak, Z. and Capi\'{n}ski, M. and Flandoli, F.},
title = {A convergence result for stochastic partial differential
equations},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {24},
year = {1988},
number = {4},
pages = {423--445},
issn = {0090-9491},
mrclass = {60H15 (35R60)},
mrnumber = {972973},
mrreviewer = {Ralf\ Manthey},
doi = {10.1080/17442508808833526},
url = {https://doi.org/10.1080/17442508808833526}
}
@InCollection{ brzezniak.capinski.ea:90:approximation,
author = {Brze\'{z}niak, Z. and Capi\'{n}ski, M. and Flandoli, F.},
title = {Approximation of white noise in stochastic partial
differential equations},
booktitle = {Stochastic processes, physics and geometry ({A}scona and
{L}ocarno, 1988)},
pages = {256--268},
publisher = {World Sci. Publ., Teaneck, NJ},
year = {1990},
isbn = {981-02-0019-6},
mrclass = {60H15 (35R60)},
mrnumber = {1124214},
mrreviewer = {Jan\ Ub\o e}
}
@Article{ brzezniak.capinski.ea:90:approximation*1,
author = {Brze\'{z}niak, Z. and Capi\'{n}ski, M. and Flandoli, F.},
title = {Approximation for diffusion in random fields},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {8},
year = {1990},
number = {3},
pages = {293--313},
issn = {0736-2994,1532-9356},
mrclass = {60H15 (60J60)},
mrnumber = {1066168},
doi = {10.1080/07362999008809210},
url = {https://doi.org/10.1080/07362999008809210}
}
@Article{ brzezniak.capinski.ea:91:stochastic,
author = {Brze\'{z}niak, Z. and Capi\'{n}ski, M. and Flandoli, F.},
title = {Stochastic partial differential equations and turbulence},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {1},
year = {1991},
number = {1},
pages = {41--59},
issn = {0218-2025,1793-6314},
mrclass = {35Q35 (35R60 60H15 76D05 76F99 76M35)},
mrnumber = {1105007},
doi = {10.1142/S0218202591000046},
url = {https://doi.org/10.1142/S0218202591000046}
}
@Article{ brzezniak.capinski.ea:92:stochastic,
author = {Brze\'{z}niak, Z. and Capi\'{n}ski, M. and Flandoli, F.},
title = {Stochastic {N}avier-{S}tokes equations with multiplicative
noise},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {10},
year = {1992},
number = {5},
pages = {523--532},
issn = {0736-2994,1532-9356},
mrclass = {35Q30 (35R60 60H15 76D05 76M35)},
mrnumber = {1185046},
mrreviewer = {Ana\ Bela\ Cruzeiro},
doi = {10.1080/07362999208809288},
url = {https://doi.org/10.1080/07362999208809288}
}
@Article{ brzezniak.capinski.ea:93:pathwise,
author = {Brze\'{z}niak, Zdzis{\l}aw and Capi\'{n}ski, Marek and
Flandoli, Franco},
title = {Pathwise global attractors for stationary random dynamical
systems},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {95},
year = {1993},
number = {1},
pages = {87--102},
issn = {0178-8051,1432-2064},
mrclass = {60H10},
mrnumber = {1207308},
mrreviewer = {Bohdan\ Maslowski},
doi = {10.1007/BF01197339},
url = {https://doi.org/10.1007/BF01197339}
}
@Article{ brzezniak.cerrai.ea:15:quasipotential,
author = {Brze\'{z}niak, Z. and Cerrai, S. and Freidlin, M.},
title = {Quasipotential and exit time for 2{D} stochastic
{N}avier-{S}tokes equations driven by space time white
noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {162},
year = {2015},
number = {3-4},
pages = {739--793},
issn = {0178-8051},
mrclass = {60H15 (35Q30 35R60 49J45 60F10)},
mrnumber = {3383342},
mrreviewer = {Hakima Bessaih},
doi = {10.1007/s00440-014-0584-6},
url = {https://doi.org/10.1007/s00440-014-0584-6}
}
@Article{ brzezniak.cerrai:17:large,
author = {Brze\'{z}niak, Z. and Cerrai, S.},
title = {Large deviations principle for the invariant measures of
the 2{D} stochastic {N}avier-{S}tokes equations on a
torus},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {273},
year = {2017},
number = {6},
pages = {1891--1930},
issn = {0022-1236},
mrclass = {60H15 (35Q30 35R60 60F10)},
mrnumber = {3669026},
mrreviewer = {Jie Xu},
doi = {10.1016/j.jfa.2017.05.008},
url = {https://doi.org/10.1016/j.jfa.2017.05.008}
}
@Article{ brzezniak.flandoli.ea:11:conservative,
author = {Brze\'{z}niak, Z. and Flandoli, F. and Neklyudov, M. and
Zegarli\'{n}ski, B.},
title = {Conservative interacting particles system with anomalous
rate of ergodicity},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {144},
year = {2011},
number = {6},
pages = {1171--1185},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60K35)},
mrnumber = {2841920},
mrreviewer = {Dimitri\ Petritis},
doi = {10.1007/s10955-011-0327-3},
url = {https://doi.org/10.1007/s10955-011-0327-3}
}
@Article{ brzezniak.flandoli.ea:16:existence,
author = {Brze\'{z}niak, Zdzis{\l}aw and Flandoli, Franco and
Maurelli, Mario},
title = {Existence and uniqueness for stochastic 2{D} {E}uler flows
with bounded vorticity},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {221},
year = {2016},
number = {1},
pages = {107--142},
issn = {0003-9527,1432-0673},
mrclass = {35R60 (35Q31 60H15 76B03)},
mrnumber = {3483892},
mrreviewer = {Paul\ Andr\'{e}\ Razafimandimby},
doi = {10.1007/s00205-015-0957-8},
url = {https://doi.org/10.1007/s00205-015-0957-8}
}
@InCollection{ brzezniak.flandoli:92:regularity,
author = {Brze\'{z}niak, Z. and Flandoli, F.},
title = {Regularity of solutions and random evolution operator for
stochastic parabolic equations},
booktitle = {Stochastic partial differential equations and applications
({T}rento, 1990)},
series = {Pitman Res. Notes Math. Ser.},
volume = {268},
pages = {54--71},
publisher = {Longman Sci. Tech., Harlow},
year = {1992},
isbn = {0-582-10051-8},
mrclass = {60H15 (34F05 34G10 35R60)},
mrnumber = {1222688}
}
@Article{ brzezniak.flandoli:95:almost,
author = {Brze\'{z}niak, Zdzis{\l}aw and Flandoli, Franco},
title = {Almost sure approximation of {W}ong-{Z}akai type for
stochastic partial differential equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {55},
year = {1995},
number = {2},
pages = {329--358},
issn = {0304-4149,1879-209X},
mrclass = {60H15 (35R60)},
mrnumber = {1313027},
mrreviewer = {Krystyna\ Twardowska},
doi = {10.1016/0304-4149(94)00037-T},
url = {https://doi.org/10.1016/0304-4149(94)00037-T}
}
@Article{ brzezniak.gatarek:99:martingale,
author = {Brze\'{z}niak, Zdzis{\l}aw and G\c{a}tarek, Dariusz},
title = {Martingale solutions and invariant measures for stochastic
evolution equations in {B}anach spaces},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {84},
year = {1999},
number = {2},
pages = {187--225},
issn = {0304-4149},
mrclass = {60H15 (60G60 60J25)},
mrnumber = {1719282},
mrreviewer = {Bohdan Maslowski},
doi = {10.1016/S0304-4149(99)00034-4},
url = {https://doi.org/10.1016/S0304-4149(99)00034-4}
}
@Article{ brzezniak.goldys.ea:10:time,
author = {Brze\'{z}niak, Zdzis{\l}aw and Goldys, Ben and Imkeller,
Peter and Peszat, Szymon and Priola, Enrico and Zabczyk,
Jerzy},
title = {Time irregularity of generalized {O}rnstein-{U}hlenbeck
processes},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {348},
year = {2010},
number = {5-6},
pages = {273--276},
issn = {1631-073X},
mrclass = {60H15 (37L55)},
mrnumber = {2600121},
doi = {10.1016/j.crma.2010.01.022},
url = {https://doi.org/10.1016/j.crma.2010.01.022}
}
@Article{ brzezniak.goldys.ea:13:weak,
author = {Brze\'zniak, Zdzislaw and Goldys, Beniamin and Jegaraj,
Terence},
title = {Weak solutions of a stochastic
{L}andau-{L}ifshitz-{G}ilbert equation},
journal = {Appl. Math. Res. Express. AMRX},
fjournal = {Applied Mathematics Research Express. AMRX},
year = {2013},
number = {1},
pages = {1--33},
issn = {1687-1200,1687-1197},
mrclass = {82D40 (60H15)},
mrnumber = {3040886},
doi = {10.1093/amrx/abs009},
url = {https://doi.org/10.1093/amrx/abs009}
}
@Article{ brzezniak.goldys.ea:15:second,
author = {Brze\'{z}niak, Zdzis{\l}aw and Goldys, Ben and Peszat,
Szymon and Russo, Francesco},
title = {Second order {PDE}s with {D}irichlet white noise boundary
conditions},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {15},
year = {2015},
number = {1},
pages = {1--26},
issn = {1424-3199,1424-3202},
mrclass = {60H15 (35B65 35J05 35J25 35K05 35R60 60G20)},
mrnumber = {3315663},
mrreviewer = {Sergey\ V.\ Lototsky},
doi = {10.1007/s00028-014-0246-2},
url = {https://doi.org/10.1007/s00028-014-0246-2}
}
@Article{ brzezniak.goldys.ea:17:large,
author = {Brze\'zniak, Zdzis{\l}aw and Goldys, Ben and Jegaraj,
Terence},
title = {Large deviations and transitions between equilibria for
stochastic {L}andau-{L}ifshitz-{G}ilbert equation},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {226},
year = {2017},
number = {2},
pages = {497--558},
issn = {0003-9527,1432-0673},
mrclass = {60H15 (35Q60 35R60 60F10)},
mrnumber = {3687875},
mrreviewer = {Leila\ Setayeshgar},
doi = {10.1007/s00205-017-1117-0},
url = {https://doi.org/10.1007/s00205-017-1117-0}
}
@Article{ brzezniak.goldys.ea:20:existence,
author = {Brze\'{z}niak, Zdzislaw and Goldys, Beniamin and Le, Kim
Ngan},
title = {Existence of a unique solution and invariant measures for
the stochastic {L}andau-{L}ifshitz-{B}loch equation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {269},
year = {2020},
number = {11},
pages = {9471--9507},
issn = {0022-0396,1090-2732},
mrclass = {35R60 (35K59 35Q60 60H15)},
mrnumber = {4118880},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2020.06.061},
url = {https://doi.org/10.1016/j.jde.2020.06.061}
}
@Article{ brzezniak.komorowski.ea:22:ergodicity,
author = {Brze\'{z}niak, Zdzis{\l}aw and Komorowski, Tomasz and
Peszat, Szymon},
title = {Ergodicity for stochastic equations of {N}avier-{S}tokes
type},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {27},
year = {2022},
pages = {Paper No. 4, 10},
issn = {1083-589X},
mrclass = {60H15 (35Q30)},
mrnumber = {4368698},
mrreviewer = {Qi\ L\"{u}},
doi = {10.1214/21-ecp443},
url = {https://doi.org/10.1214/21-ecp443}
}
@Article{ brzezniak.maslowski.ea:05:stochastic,
author = {Brze\'{z}niak, Zdzis{\l}aw and Maslowski, Bohdan and
Seidler, Jan},
title = {Stochastic nonlinear beam equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {132},
year = {2005},
number = {1},
pages = {119--149},
issn = {0178-8051,1432-2064},
mrclass = {60H15 (35Q72 35R60 74H50 74K10)},
mrnumber = {2136869},
mrreviewer = {Grigorios\ A.\ Pavliotis},
doi = {10.1007/s00440-004-0392-5},
url = {https://doi.org/10.1007/s00440-004-0392-5}
}
@Article{ brzezniak.neerven.ea:08:itos,
author = {Brze\'{z}niak, Z. and van Neerven, J. M. A. M. and Veraar,
M. C. and Weis, L.},
title = {It\^{o}'s formula in {UMD} {B}anach spaces and regularity
of solutions of the {Z}akai equation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {245},
year = {2008},
number = {1},
pages = {30--58},
issn = {0022-0396},
mrclass = {60B11 (28C20 35R60 46N30)},
mrnumber = {2422709},
doi = {10.1016/j.jde.2008.03.026},
url = {https://doi.org/10.1016/j.jde.2008.03.026}
}
@Article{ brzezniak.ondrejat.ea:16:invariant,
author = {Brze\'{z}niak, Zdzis{\l}aw and Ondrej\'{a}t, Martin and
Seidler, Jan},
title = {Invariant measures for stochastic nonlinear beam and wave
equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {260},
year = {2016},
number = {5},
pages = {4157--4179},
issn = {0022-0396,1090-2732},
mrclass = {60H15 (35R60)},
mrnumber = {3437583},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2015.11.007},
url = {https://doi.org/10.1016/j.jde.2015.11.007}
}
@Article{ brzezniak.ondrejat:07:strong,
author = {Brze\'{z}niak, Zdzis{\l}aw and Ondrej\'{a}t, Martin},
title = {Strong solutions to stochastic wave equations with values
in {R}iemannian manifolds},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {253},
year = {2007},
number = {2},
pages = {449--481},
issn = {0022-1236},
mrclass = {60H15 (35R60 58J65)},
mrnumber = {2370085},
mrreviewer = {Robert C. Dalang},
doi = {10.1016/j.jfa.2007.03.034},
url = {https://doi.org/10.1016/j.jfa.2007.03.034}
}
@Article{ brzezniak.ondrejat:11:weak,
author = {Brze\'{z}niak, Z. and Ondrej\'{a}t, M.},
title = {Weak solutions to stochastic wave equations with values in
{R}iemannian manifolds},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {36},
year = {2011},
number = {9},
pages = {1624--1653},
issn = {0360-5302},
mrclass = {60H15 (35D30 35L70 35R01 35R60)},
mrnumber = {2825605},
doi = {10.1080/03605302.2011.574243},
url = {https://doi.org/10.1080/03605302.2011.574243}
}
@Article{ brzezniak.peszat.ea:01:continuity,
author = {Brze\'{z}niak, Zdzis{\l}aw and Peszat, Szymon and Zabczyk,
Jerzy},
title = {Continuity of stochastic convolutions},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {51(126)},
year = {2001},
number = {4},
pages = {679--684},
issn = {0011-4642},
mrclass = {60H05 (60G15)},
mrnumber = {1864035},
mrreviewer = {Anne Estrade},
doi = {10.1023/A:1013752526625},
url = {https://doi.org/10.1023/A:1013752526625}
}
@InCollection{ brzezniak.peszat:00:maximal,
author = {Brze\'{z}niak, Zdzis{\l}aw and Peszat, Szymon},
title = {Maximal inequalities and exponential estimates for
stochastic convolutions in {B}anach spaces},
booktitle = {Stochastic processes, physics and geometry: new
interplays, {I} ({L}eipzig, 1999)},
series = {CMS Conf. Proc.},
volume = {28},
pages = {55--64},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {60H15 (60F10 60H05)},
mrnumber = {1803378},
mrreviewer = {Jan Ub\o e}
}
@InCollection{ brzezniak.peszat:00:strong,
author = {Brze\'{z}niak, Zdzis{\l}aw and Peszat, Szymon},
title = {Strong local and global solutions for stochastic
{N}avier-{S}tokes equations},
booktitle = {Infinite dimensional stochastic analysis ({A}msterdam,
1999)},
series = {Verh. Afd. Natuurkd. 1. Reeks. K. Ned. Akad. Wet.},
volume = {52},
pages = {85--98},
publisher = {R. Neth. Acad. Arts Sci., Amsterdam},
year = {2000},
mrclass = {76D03 (35Q30 35R60 60H15 76D06)},
mrnumber = {1831412},
mrreviewer = {Hongjun Gao}
}
@Article{ brzezniak.peszat:01:stochastic,
author = {Brze\'{z}niak, Zdzis{\l}aw and Peszat, Szymon},
title = {Stochastic two dimensional {E}uler equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {29},
year = {2001},
number = {4},
pages = {1796--1832},
issn = {0091-1798,2168-894X},
mrclass = {60G60 (35Q30 35R60 60J25 76B99 76M35)},
mrnumber = {1880243},
mrreviewer = {Yimin\ Xiao},
doi = {10.1214/aop/1015345773},
url = {https://doi.org/10.1214/aop/1015345773}
}
@InCollection{ brzezniak.peszat:10:hyperbolic,
author = {Brze\'{z}niak, Zdzis{\l}aw and Peszat, Szymon},
title = {Hyperbolic equations with random boundary conditions},
booktitle = {Recent development in stochastic dynamics and stochastic
analysis},
series = {Interdiscip. Math. Sci.},
volume = {8},
pages = {1--21},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2010},
isbn = {978-981-4277-25-9; 981-4277-25-8},
mrclass = {35L05 (35R60 47D06 47N20 60H25)},
mrnumber = {2807810},
doi = {10.1142/9789814277266\_0001},
url = {https://doi.org/10.1142/9789814277266_0001}
}
@Article{ brzezniak.peszat:99:space-time,
author = {Brze\'{z}niak, Zdzis{\l}aw and Peszat, Szymon},
title = {Space-time continuous solutions to {SPDE}'s driven by a
homogeneous {W}iener process},
journal = {Studia Math.},
fjournal = {Studia Mathematica},
volume = {137},
year = {1999},
number = {3},
pages = {261--299},
issn = {0039-3223},
mrclass = {60H15 (35R60 60G60 60J25)},
mrnumber = {1736012},
mrreviewer = {Catherine Donati-Martin},
doi = {10.4064/sm-137-3-261-299},
url = {https://doi.org/10.4064/sm-137-3-261-299}
}
@Article{ brzezniak.razafimandimby:16:irreducibility,
author = {Brze\'{z}niak, Zdzis{\l}aw and Razafimandimby, Paul
Andr\'{e}},
title = {Irreducibility and strong {F}eller property for stochastic
evolution equations in {B}anach spaces},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {21},
year = {2016},
number = {4},
pages = {1051--1077},
issn = {1531-3492,1553-524X},
mrclass = {60H15 (35R60)},
mrnumber = {3483552},
mrreviewer = {Le\ Chen},
doi = {10.3934/dcdsb.2016.21.1051},
url = {https://doi.org/10.3934/dcdsb.2016.21.1051}
}
@Article{ brzezniak.veraar:12:is,
author = {Brze\'zniak, Zdzislaw and Veraar, Mark},
title = {Is the stochastic parabolicity condition dependent on
{$p$} and {$q$}?},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {17},
year = {2012},
pages = {no. 56, 24},
issn = {1083-6489},
mrclass = {60H15},
mrnumber = {2955048},
mrreviewer = {Alexander\ Litvinenko},
doi = {10.1214/EJP.v17-2186},
url = {https://doi.org/10.1214/EJP.v17-2186}
}
@Article{ brzezniak.zabczyk:10:regularity,
author = {Brze\'{z}niak, Zdzis{\l}aw and Zabczyk, Jerzy},
title = {Regularity of {O}rnstein-{U}hlenbeck processes driven by a
{L}\'{e}vy white noise},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {32},
year = {2010},
number = {2},
pages = {153--188},
issn = {0926-2601},
mrclass = {60H15 (60G51 60G57 60H05)},
mrnumber = {2584982},
doi = {10.1007/s11118-009-9149-1},
url = {https://doi.org/10.1007/s11118-009-9149-1}
}
@InCollection{ brzezniak:03:some,
author = {Brze\'{z}niak, Zdzis{\l}aw},
title = {Some remarks on {I}t\^{o} and {S}tratonovich integration
in 2-smooth {B}anach spaces},
booktitle = {Probabilistic methods in fluids},
pages = {48--69},
publisher = {World Sci. Publ., River Edge, NJ},
year = {2003},
mrclass = {60H05 (46N30)},
mrnumber = {2083364},
mrreviewer = {Jiang Lun Wu},
doi = {10.1142/9789812703989\_0004},
url = {https://doi.org/10.1142/9789812703989_0004}
}
@Article{ brzezniak:95:stochastic,
author = {Brze\'{z}niak, Zdzis{\l}aw},
title = {Stochastic partial differential equations in {M}-type
{$2$} {B}anach spaces},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {4},
year = {1995},
number = {1},
pages = {1--45},
issn = {0926-2601},
mrclass = {35R60 (34F05 34G10 35R20 47N20 60H15)},
mrnumber = {1313905},
mrreviewer = {Stanis\l aw W\polhk edrychowicz},
doi = {10.1007/BF01048965},
url = {https://doi.org/10.1007/BF01048965}
}
@Article{ brzezniak:97:on,
author = {Brze\'{z}niak, Zdzis{\l}aw},
title = {On stochastic convolution in {B}anach spaces and
applications},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {61},
year = {1997},
number = {3-4},
pages = {245--295},
issn = {1045-1129},
mrclass = {35R60 (47D07 60H15)},
mrnumber = {1488138},
doi = {10.1080/17442509708834122},
url = {https://doi.org/10.1080/17442509708834122}
}
@Article{ buccheri.corsi.ea:21:continuous-time,
author = {Buccheri, Giuseppe and Corsi, Fulvio and Flandoli, Franco
and Livieri, Giulia},
title = {The continuous-time limit of score-driven volatility
models},
journal = {J. Econometrics},
fjournal = {Journal of Econometrics},
volume = {221},
year = {2021},
number = {2},
pages = {655--675},
issn = {0304-4076,1872-6895},
mrclass = {62P05 (60F17 60H30 62M10 91B70)},
mrnumber = {4215043},
doi = {10.1016/j.jeconom.2020.07.042},
url = {https://doi.org/10.1016/j.jeconom.2020.07.042}
}
@Article{ buckdahn.malliavin.ea:97:multidimensional,
author = {Buckdahn, R. and Malliavin, P. and Nualart, D.},
title = {Multidimensional linear stochastic differential equations
in the {S}korohod sense},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {62},
year = {1997},
number = {1-2},
pages = {117--145},
issn = {1045-1129},
mrclass = {60H10 (60H07)},
mrnumber = {1489184},
doi = {10.1080/17442509708834130},
url = {https://doi.org/10.1080/17442509708834130}
}
@Article{ buckdahn.nualart:93:skorohod,
author = {Buckdahn, Rainer and Nualart, David},
title = {Skorohod stochastic differential equations with boundary
conditions},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {45},
year = {1993},
number = {3-4},
pages = {211--235},
issn = {1045-1129},
mrclass = {60H07 (60H10)},
mrnumber = {1306932},
mrreviewer = {Daniel Ocone},
doi = {10.1080/17442509308833862},
url = {https://doi.org/10.1080/17442509308833862}
}
@Article{ buckdahn.nualart:94:linear,
author = {Buckdahn, R. and Nualart, D.},
title = {Linear stochastic differential equations and {W}ick
products},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {99},
year = {1994},
number = {4},
pages = {501--526},
issn = {0178-8051},
mrclass = {60H10 (46N30 60H07)},
mrnumber = {1288068},
mrreviewer = {Jan Ub\o e},
doi = {10.1007/BF01206230},
url = {https://doi.org/10.1007/BF01206230}
}
@InCollection{ buckdahn.pardoux:90:monotonicity,
author = {Buckdahn, R. and Pardoux, \'{E}.},
title = {Monotonicity methods for white noise driven quasi-linear
{SPDE}s},
booktitle = {Diffusion processes and related problems in analysis,
{V}ol. {I} ({E}vanston, {IL}, 1989)},
series = {Progr. Probab.},
volume = {22},
pages = {219--233},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1990},
mrclass = {60H15 (35R60)},
mrnumber = {1110165},
doi = {10.1007/978-1-4684-0564-4\_13},
url = {https://doi.org/10.1007/978-1-4684-0564-4_13}
}
@Book{ buckmaster.canic.ea:20:progress,
author = {Buckmaster, Tristan and \v{C}ani\'{c}, Sun\v{c}ica and
Constantin, Peter and Kiselev, Alexander A.},
title = {Progress in mathematical fluid dynamics},
series = {Lecture Notes in Mathematics},
volume = {2272},
note = {Lectures from the school held in Cetraro, June 2019,
Edited by Luigi C. Berselli and Michael
R\ocirc{u}\v{z}i\v{c}ka, Fondazione CIME/CIME Foundation
Subseries},
publisher = {Springer, Cham; Centro Internazionale Matematico Estivo
(C.I.M.E.), Florence},
year = {[2020] \copyright 2020},
pages = {vii+161},
isbn = {978-3-030-54899-5; 978-3-030-54898-8},
mrclass = {76-06 (35-06)},
mrnumber = {4176663},
doi = {10.1007/978-3-030-54899-5},
url = {https://doi.org/10.1007/978-3-030-54899-5}
}
@Article{ buckmaster.nahmod.ea:20:surface,
author = {Buckmaster, Tristan and Nahmod, Andrea and Staffilani,
Gigliola and Widmayer, Klaus},
title = {The surface quasi-geostrophic equation with random
diffusion},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2020},
number = {23},
pages = {9370--9385},
issn = {1073-7928},
mrclass = {58J65},
mrnumber = {4182798},
mrreviewer = {Changxing Miao},
doi = {10.1093/imrn/rny261},
url = {https://doi.org/10.1093/imrn/rny261}
}
@Article{ buckmaster.shkoller.ea:19:nonuniqueness,
author = {Buckmaster, Tristan and Shkoller, Steve and Vicol, Vlad},
title = {Nonuniqueness of weak solutions to the {SQG} equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {72},
year = {2019},
number = {9},
pages = {1809--1874},
issn = {0010-3640},
mrclass = {35Q86 (35A02 35D30 76B03)},
mrnumber = {3987721},
mrreviewer = {Hermenegildo Borges de Oliveira},
doi = {10.1002/cpa.21851},
url = {https://doi.org/10.1002/cpa.21851}
}
@Article{ buckwar.luchko:98:invariance,
author = {Buckwar, Evelyn and Luchko, Yuri},
title = {Invariance of a partial differential equation of
fractional order under the {L}ie group of scaling
transformations},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {227},
year = {1998},
number = {1},
pages = {81--97},
issn = {0022-247X},
mrclass = {35A30},
mrnumber = {1652906},
doi = {10.1006/jmaa.1998.6078},
url = {https://doi.org/10.1006/jmaa.1998.6078}
}
@Article{ budd.carretero-gonzalez.ea:05:precise,
author = {Budd, C. J. and Carretero-Gonz\'{a}lez, R. and Russell, R.
D.},
title = {Precise computations of chemotactic collapse using moving
mesh methods},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {202},
year = {2005},
number = {2},
pages = {463--487},
issn = {0021-9991},
mrclass = {65M50 (92C17)},
mrnumber = {2145389},
doi = {10.1016/j.jcp.2004.07.010},
url = {https://doi.org/10.1016/j.jcp.2004.07.010}
}
@Article{ budd.dold.ea:15:global,
author = {Budd, C. J. and Dold, J. W. and Galaktionov, V. A.},
title = {Global blow-up for a semilinear heat equation on a
subspace},
journal = {Proc. Roy. Soc. Edinburgh Sect. A},
fjournal = {Proceedings of the Royal Society of Edinburgh. Section A.
Mathematics},
volume = {145},
year = {2015},
number = {5},
pages = {893--923},
issn = {0308-2105},
mrclass = {35K91 (35B44 35K65 35R09)},
mrnumber = {3406454},
doi = {10.1017/S0308210515000256},
url = {https://doi.org/10.1017/S0308210515000256}
}
@Article{ budd.dold.ea:93:blowup,
author = {Budd, Chris and Dold, Bill and Stuart, Andrew},
title = {Blowup in a partial differential equation with conserved
first integral},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {53},
year = {1993},
number = {3},
pages = {718--742},
issn = {0036-1399},
mrclass = {35B35 (35K55)},
mrnumber = {1218381},
doi = {10.1137/0153036},
url = {https://doi.org/10.1137/0153036}
}
@Article{ budd.galaktionov:98:stability,
author = {Budd, Chris and Galaktionov, Victor},
title = {Stability and spectra of blow-up in problems with
quasi-linear gradient diffusivity},
journal = {R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.},
fjournal = {The Royal Society of London. Proceedings. Series A.
Mathematical, Physical and Engineering Sciences},
volume = {454},
year = {1998},
number = {1977},
pages = {2371--2407},
issn = {1364-5021},
mrclass = {35K57 (35B40 35K65 76R99)},
mrnumber = {1653356},
mrreviewer = {Yvan Martel},
doi = {10.1098/rspa.1998.0263},
url = {https://doi.org/10.1098/rspa.1998.0263}
}
@Article{ budd.huang.ea:96:moving,
author = {Budd, Chris J. and Huang, Weizhang and Russell, Robert
D.},
title = {Moving mesh methods for problems with blow-up},
journal = {SIAM J. Sci. Comput.},
fjournal = {SIAM Journal on Scientific Computing},
volume = {17},
year = {1996},
number = {2},
pages = {305--327},
issn = {1064-8275},
mrclass = {65M50 (35K55 65M20)},
mrnumber = {1374282},
doi = {10.1137/S1064827594272025},
url = {https://doi.org/10.1137/S1064827594272025}
}
@Article{ budhiraja.dupuis.ea:08:large,
author = {Budhiraja, Amarjit and Dupuis, Paul and Maroulas,
Vasileios},
title = {Large deviations for infinite dimensional stochastic
dynamical systems},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {36},
year = {2008},
number = {4},
pages = {1390--1420},
issn = {0091-1798},
mrclass = {60H15 (35R60 37L55 60F10)},
mrnumber = {2435853},
mrreviewer = {Mohamed Mellouk},
doi = {10.1214/07-AOP362},
url = {https://doi.org/10.1214/07-AOP362}
}
@Article{ budhiraja.dupuis:00:variational,
author = {Budhiraja, Amarjit and Dupuis, Paul},
title = {A variational representation for positive functionals of
infinite dimensional {B}rownian motion},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {20},
year = {2000},
number = {1, Acta Univ. Wratislav. No. 2246},
pages = {39--61},
issn = {0208-4147},
mrclass = {60F10},
mrnumber = {1785237},
mrreviewer = {Richard B. Sowers}
}
@Article{ bufetov:16:rigidity,
author = {Bufetov, Alexander I.},
title = {Rigidity of determinantal point processes with the {A}iry,
the {B}essel and the gamma kernel},
journal = {Bull. Math. Sci.},
fjournal = {Bulletin of Mathematical Sciences},
volume = {6},
year = {2016},
number = {1},
pages = {163--172},
issn = {1664-3607},
mrclass = {60G55 (33C10 44A12)},
mrnumber = {3472852},
mrreviewer = {Matthias Schulte},
doi = {10.1007/s13373-015-0080-z},
url = {https://doi.org/10.1007/s13373-015-0080-z}
}
@Article{ bufetov:18:quasi-symmetries,
author = {Bufetov, Alexander I.},
title = {Quasi-symmetries of determinantal point processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {46},
year = {2018},
number = {2},
pages = {956--1003},
issn = {0091-1798},
mrclass = {60G55 (22E66 33C10 60B10 60B15)},
mrnumber = {3773378},
doi = {10.1214/17-AOP1198},
url = {https://doi.org/10.1214/17-AOP1198}
}
@Article{ buffet.patrick.ea:93:directed,
author = {Buffet, E. and Patrick, A. and Pul\'{e}, J. V.},
title = {Directed polymers on trees: a martingale approach},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {26},
year = {1993},
number = {8},
pages = {1823--1834},
issn = {0305-4470},
mrclass = {82D60 (60K35)},
mrnumber = {1220795},
mrreviewer = {G. R. Grimmett},
url = {http://stacks.iop.org/0305-4470/26/1823}
}
@Book{ buldygin.indlekofer.ea:18:pseudo-regularly,
author = {Buldygin, Valeri\u{\i} V. and Indlekofer, Karl-Heinz and
Klesov, Oleg I. and Steinebach, Josef G.},
title = {Pseudo-regularly varying functions and generalized renewal
processes},
series = {Probability Theory and Stochastic Modelling},
volume = {91},
publisher = {Springer, Cham},
year = {2018},
pages = {xxii+482},
isbn = {978-3-319-99536-6; 978-3-319-99537-3},
mrclass = {60-02 (26A12 60E07 60F10 60F15 60H10 60K05)},
mrnumber = {3839312},
mrreviewer = {Dmitry Korshunov},
doi = {10.1007/978-3-319-99537-3},
url = {https://doi.org/10.1007/978-3-319-99537-3}
}
@Article{ buldygin.klesov.ea:08:on,
author = {Buldygin, V. V. and Klesov, O. I. and Steinbach, J. G. and
Tymoshenko, O. A.},
title = {On the {$\phi$}-asymptotic behaviour of solutions of
stochastic differential equations},
journal = {Theory Stoch. Process.},
fjournal = {Theory of Stochastic Processes},
volume = {14},
year = {2008},
number = {1},
pages = {11--29},
issn = {0321-3900},
mrclass = {60H10 (34C41 60F15)},
mrnumber = {2479701},
mrreviewer = {J. Gopala Krishna}
}
@Article{ buldygin.tymoshenko:10:on,
author = {Buldygin, V. V. and Tymoshenko, O. A.},
title = {On the exact order of growth of solutions of stochastic
differential equations with time-dependent coefficients},
journal = {Theory Stoch. Process.},
fjournal = {Theory of Stochastic Processes},
volume = {16},
year = {2010},
number = {2},
pages = {12--22},
issn = {0321-3900},
mrclass = {60H10},
mrnumber = {2777897},
mrreviewer = {Lifeng Xu}
}
@Article{ bulla.gesztesy.ea:97:weakly,
author = {Bulla, W. and Gesztesy, F. and Renger, W. and Simon, B.},
title = {Weakly coupled bound states in quantum waveguides},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {125},
year = {1997},
number = {5},
pages = {1487--1495},
issn = {0002-9939,1088-6826},
mrclass = {81Q10 (35J05 35P05 47F05 47N50)},
mrnumber = {1371117},
mrreviewer = {Mihai\ Pascu},
doi = {10.1090/S0002-9939-97-03726-X},
url = {https://doi.org/10.1090/S0002-9939-97-03726-X}
}
@Article{ burczak.granero-belinchon:16:critical,
author = {Burczak, Jan and Granero-Belinch\'{o}n, Rafael},
title = {Critical {K}eller-{S}egel meets {B}urgers on {$\Bbb S^1$}:
large-time smooth solutions},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {29},
year = {2016},
number = {12},
pages = {3810--3836},
issn = {0951-7715},
mrclass = {35R11 (35B65 35Q92 35S11 92C17)},
mrnumber = {3580331},
doi = {10.1088/0951-7715/29/12/3810},
url = {https://doi.org/10.1088/0951-7715/29/12/3810}
}
@Article{ burczak.granero-belinchon:17:suppression,
author = {Burczak, Jan and Granero-Belinch\'{o}n, Rafael},
title = {Suppression of blow up by a logistic source in 2{D}
{K}eller-{S}egel system with fractional dissipation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {263},
year = {2017},
number = {9},
pages = {6115--6142},
issn = {0022-0396},
mrclass = {35R11 (35A01 35B44 35B65 35S10 92C17)},
mrnumber = {3688442},
mrreviewer = {N. Duruk Mutluba\c{s}},
doi = {10.1016/j.jde.2017.07.007},
url = {https://doi.org/10.1016/j.jde.2017.07.007}
}
@InCollection{ burda.jurkiewicz:11:heavy-tailed,
author = {Burda, Z. and Jurkiewicz, J.},
title = {Heavy-tailed random matrices},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {270--289},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60B20 (46L54 60E07)},
mrnumber = {2932633},
mrreviewer = {Florent Benaych-Georges}
}
@InCollection{ burdzy.khoshnevisan:95:level,
author = {Burdzy, Krzysztof and Khoshnevisan, Davar},
title = {The level sets of iterated {B}rownian motion},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIX}},
series = {Lecture Notes in Math.},
volume = {1613},
pages = {231--236},
publisher = {Springer, Berlin},
year = {1995},
mrclass = {60J65 (60G17)},
mrnumber = {1459464},
mrreviewer = {Zhan Shi},
doi = {10.1007/BFb0094215},
url = {https://doi.org/10.1007/BFb0094215}
}
@Article{ burdzy.khoshnevisan:98:brownian,
author = {Burdzy, Krzysztof and Khoshnevisan, Davar},
title = {Brownian motion in a {B}rownian crack},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {8},
year = {1998},
number = {3},
pages = {708--748},
issn = {1050-5164},
mrclass = {60J65 (60F17)},
mrnumber = {1627764},
mrreviewer = {Zoran Vondra\v{c}ek},
doi = {10.1214/aoap/1028903448},
url = {https://doi.org/10.1214/aoap/1028903448}
}
@Article{ burdzy.mueller.ea:10:nonuniqueness,
author = {Burdzy, K. and Mueller, C. and Perkins, E. A.},
title = {Nonuniqueness for nonnegative solutions of parabolic
stochastic partial differential equations},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {54},
year = {2010},
number = {4},
pages = {1481--1507 (2012)},
issn = {0019-2082},
mrclass = {60H15 (60G60 60H10)},
mrnumber = {2981857},
mrreviewer = {Jie Xiong},
url = {http://projecteuclid.org/euclid.ijm/1348505538}
}
@Article{ burdzy.mytnik:05:super-brownian,
author = {Burdzy, Krzysztof and Mytnik, Leonid},
title = {Super-{B}rownian motion with reflecting historical paths.
{II}. {C}onvergence of approximations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {133},
year = {2005},
number = {2},
pages = {145--174},
issn = {0178-8051},
mrclass = {60H15 (35R60)},
mrnumber = {2198696},
mrreviewer = {Denis R. Bell},
doi = {10.1007/s00440-004-0413-4},
url = {https://doi.org/10.1007/s00440-004-0413-4}
}
@Article{ burdzy.nualart.ea:14:joint,
author = {Burdzy, Krzysztof and Nualart, David and Swanson, Jason},
title = {Joint convergence along different subsequences of the
signed cubic variation of fractional {B}rownian motion},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {159},
year = {2014},
number = {1-2},
pages = {237--272},
issn = {0178-8051},
mrclass = {60G22 (60F17)},
mrnumber = {3201922},
mrreviewer = {Yizao Wang},
doi = {10.1007/s00440-013-0511-2},
url = {https://doi.org/10.1007/s00440-013-0511-2}
}
@Article{ burdzy.nualart:02:brownian,
author = {Burdzy, Krzysztof and Nualart, David},
title = {Brownian motion reflected on {B}rownian motion},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {122},
year = {2002},
number = {4},
pages = {471--493},
issn = {0178-8051},
mrclass = {60J65 (35K05 60J55)},
mrnumber = {1902187},
mrreviewer = {Robert J. Adler},
doi = {10.1007/s004400100165},
url = {https://doi.org/10.1007/s004400100165}
}
@Article{ burdzy.quastel:06:annihilating-branching,
author = {Burdzy, Krzysztof and Quastel, Jeremy},
title = {An annihilating-branching particle model for the heat
equation with average temperature zero},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {6},
pages = {2382--2405},
issn = {0091-1798},
mrclass = {60F17 (60K35)},
mrnumber = {2294987},
mrreviewer = {Luis G. Gorostiza},
doi = {10.1214/009117906000000511},
url = {https://doi.org/10.1214/009117906000000511}
}
@Article{ burdzy.san-martin:95:iterated,
author = {Burdzy, Krzysztof and San Mart\'{i}n, Jaime},
title = {Iterated law of iterated logarithm},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {4},
pages = {1627--1643},
issn = {0091-1798},
mrclass = {60G17 (60J65)},
mrnumber = {1379161},
mrreviewer = {Qi Man Shao},
url = {http://links.jstor.org/sici?sici=0091-1798(199510)23:4<1627:ILOIL>2.0.CO;2-4&origin=MSN}
}
@Article{ burdzy.swanson:10:change,
author = {Burdzy, Krzysztof and Swanson, Jason},
title = {A change of variable formula with {I}t\^o{} correction
term},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {5},
pages = {1817--1869},
issn = {0091-1798,2168-894X},
mrclass = {60H05 (60G15 60G18 60H15)},
mrnumber = {2722787},
mrreviewer = {Marco\ Dozzi},
doi = {10.1214/09-AOP523},
url = {https://doi.org/10.1214/09-AOP523}
}
@InCollection{ burdzy:93:some,
author = {Burdzy, Krzysztof},
title = {Some path properties of iterated {B}rownian motion},
booktitle = {Seminar on {S}tochastic {P}rocesses, 1992 ({S}eattle,
{WA}, 1992)},
series = {Progr. Probab.},
volume = {33},
pages = {67--87},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1993},
mrclass = {60J65},
mrnumber = {1278077},
mrreviewer = {Steven N. Evans},
doi = {10.1007/978-1-4612-0339-1\_3},
url = {https://doi.org/10.1007/978-1-4612-0339-1_3}
}
@InProceedings{ burgard.moors.ea:00:collaborative,
author = {Wolfram Burgard and Mark Moors and Dieter Fox and Reid G.
Simmons and Sebastian Thrun},
title = {Collaborative Multi-Robot Exploration},
booktitle = {{ICRA}},
year = {2000},
publisher = {{IEEE}},
pages = {476--481}
}
@Article{ burger.carrillo.ea:10:mixed,
author = {Burger, Martin and Carrillo, Jos\'{e} A. and Wolfram,
Marie-Therese},
title = {A mixed finite element method for nonlinear diffusion
equations},
journal = {Kinet. Relat. Models},
fjournal = {Kinetic and Related Models},
volume = {3},
year = {2010},
number = {1},
pages = {59--83},
issn = {1937-5093},
mrclass = {65M60 (35B44 35K57 49Q20)},
mrnumber = {2580954},
mrreviewer = {Temur Jangveladze},
doi = {10.3934/krm.2010.3.59},
url = {https://doi.org/10.3934/krm.2010.3.59}
}
@Article{ burger.di-francesco.ea:06:keller-segel,
author = {Burger, Martin and Di Francesco, Marco and Dolak-Struss,
Yasmin},
title = {The {K}eller-{S}egel model for chemotaxis with prevention
of overcrowding: linear vs. nonlinear diffusion},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {38},
year = {2006},
number = {4},
pages = {1288--1315},
issn = {0036-1410},
mrclass = {92C17 (35B40 35K55 35Q80)},
mrnumber = {2274484},
mrreviewer = {Fabio A. C. C. Chalub},
doi = {10.1137/050637923},
url = {https://doi.org/10.1137/050637923}
}
@InCollection{ burgers:48:mathematical,
author = {Burgers, J. M.},
title = {A mathematical model illustrating the theory of
turbulence},
booktitle = {Advances in {A}pplied {M}echanics},
pages = {171--199},
note = {edited by Richard von Mises and Theodore von
K\'{a}rm\'{a}n,},
publisher = {Academic Press, Inc., New York, N.Y.},
year = {1948},
mrclass = {76.1X},
mrnumber = {0027195},
mrreviewer = {C. C. Lin}
}
@Book{ burgers:74:nonlinear,
author = {Burgers, Johannes Martinus},
title = {The nonlinear diffusion equation},
note = {asymptotic solutions and statistical problems},
publisher = {Springer Science+Business Media Dordrecht},
year = {1974},
pages = {x+174},
isbn = {978-90-277-0494-8},
doi = {10.1007/978-94-010-1745-9},
url = {https://doi.org/10.1007/978-94-010-1745-9}
}
@Article{ burgeuin.garaev:14:sumsets,
author = {Burgeu{i}n, Zh. and Garaev, M. Z.},
title = {Sumsets of reciprocals in prime fields and multilinear
{K}loosterman sums},
journal = {Izv. Ross. Akad. Nauk Ser. Mat.},
fjournal = {Izvestiya Rossiiskoi Akademii Nauk. Seriya
Matematicheskaya},
volume = {78},
year = {2014},
number = {4},
pages = {19--72},
issn = {1607-0046,2587-5906},
mrclass = {11T23},
mrnumber = {3288401},
mrreviewer = {Ioulia\ N.\ Baoulina},
doi = {10.1070/im2014v078n04abeh002703},
url = {https://doi.org/10.1070/im2014v078n04abeh002703}
}
@Article{ burgeuin.kashin:10:on,
author = {Burgeu{i}n, Zh. and Kashin, B. S.},
title = {On the uniform approximation of the partial sum of the
{D}irichlet series by a shorter sum},
journal = {Mat. Zametki},
fjournal = {Matematicheskie Zametki},
volume = {87},
year = {2010},
number = {2},
pages = {309--310},
issn = {0025-567X,2305-2880},
mrclass = {11M41},
mrnumber = {2731482},
doi = {10.1134/S0001434610010360},
url = {https://doi.org/10.1134/S0001434610010360}
}
@Article{ burgeuin.kashin:12:uniform,
author = {Burgeu{i}n, Zh. and Kashin, B. S.},
title = {Uniform approximation of a partial sum by a shorter sum
and {$\Phi$}-widths},
journal = {Mat. Sb.},
fjournal = {Matematicheskiu{i} Sbornik},
volume = {203},
year = {2012},
number = {12},
pages = {57--80},
issn = {0368-8666,2305-2783},
mrclass = {41A25 (41A46)},
mrnumber = {3060069},
mrreviewer = {F.\ M\'{o}ricz},
doi = {10.1070/SM2012v203n12ABEH004285},
url = {https://doi.org/10.1070/SM2012v203n12ABEH004285}
}
@Article{ burgeuin.sinaui:07:limit,
author = {Burgeu{i}n, Zh. and Sinau{i}, Ya. G.},
title = {Limit behavior of large {F}robenius numbers},
journal = {Uspekhi Mat. Nauk},
fjournal = {Uspekhi Matematicheskikh Nauk},
volume = {62},
year = {2007},
number = {4(376)},
pages = {77--90},
issn = {0042-1316,2305-2872},
mrclass = {11D85 (11D04)},
mrnumber = {2358737},
mrreviewer = {S.\ A.\ Stepanov},
doi = {10.1070/RM2007v062n04ABEH004429},
url = {https://doi.org/10.1070/RM2007v062n04ABEH004429}
}
@Article{ burgeuin:04:recent,
author = {Burgeu{i}n, Zh.},
title = {Recent progress in quasi-periodic lattice
{S}chr\"{o}dinger operators and {H}amiltonian partial
differential equations},
journal = {Uspekhi Mat. Nauk},
fjournal = {Uspekhi Matematicheskikh Nauk},
volume = {59},
year = {2004},
number = {2(356)},
pages = {37--52},
issn = {0042-1316,2305-2872},
mrclass = {47B39 (35J10 35L70 37K55 47B80 81Q10 82B44)},
mrnumber = {2086635},
doi = {10.1070/RM2004v059n02ABEH000716},
url = {https://doi.org/10.1070/RM2004v059n02ABEH000716}
}
@Article{ burgeuin:17:on,
author = {Burgeu{i}n, Zh.},
title = {On the {V}inogradov integral},
note = {English version published in Proc. Steklov Inst. Math.
{\bf 296} (2017), no. 1, 30--40},
journal = {Tr. Mat. Inst. Steklova},
fjournal = {Trudy Matematicheskogo Instituta Imeni V. A. Steklova},
volume = {296},
year = {2017},
pages = {36--46},
issn = {0371-9685},
isbn = {5-7846-0141-5; 978-5-7846-0141-4},
mrclass = {11P05 (11L07 11L15)},
mrnumber = {3640771},
mrreviewer = {Temenoujka\ P.\ Peneva},
doi = {10.1134/S0371968517010034},
url = {https://doi.org/10.1134/S0371968517010034}
}
@Article{ burgeuin:93:boundedness,
author = {Burgeu{i}n, Zh.},
title = {Boundedness of variation of convolution of measures},
journal = {Mat. Zametki},
fjournal = {Matematicheskie Zametki},
volume = {54},
year = {1993},
number = {4},
pages = {24--33, 158},
issn = {0025-567X,2305-2880},
mrclass = {30D50 (26A24 31A05 42A99)},
mrnumber = {1256604},
mrreviewer = {Krzysztof\ Samotij},
doi = {10.1007/BF01210418},
url = {https://doi.org/10.1007/BF01210418}
}
@Article{ burgos.cortes.ea:17:extending,
author = {Burgos, C. and Cort\'{e}s, J.-C. and Villafuerte, L. and
Villanueva, R.-J.},
title = {Extending the deterministic {R}iemann-{L}iouville and
{C}aputo operators to the random framework: a mean square
approach with applications to solve random fractional
differential equations},
journal = {Chaos Solitons Fractals},
fjournal = {Chaos, Solitons \& Fractals},
volume = {102},
year = {2017},
pages = {305--318},
issn = {0960-0779,1873-2887},
mrclass = {34F05 (26A33 34A08 60H25)},
mrnumber = {3672022},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.chaos.2017.02.008},
url = {https://doi.org/10.1016/j.chaos.2017.02.008}
}
@InProceedings{ burkholder.davis.ea:72:integral,
author = {Burkholder, D. L. and Davis, B. J. and Gundy, R. F.},
title = {Integral inequalities for convex functions of operators on
martingales},
booktitle = {Proceedings of the {S}ixth {B}erkeley {S}ymposium on
{M}athematical {S}tatistics and {P}robability ({U}niv.
{C}alifornia, {B}erkeley, {C}alif., 1970/1971), {V}ol.
{II}: {P}robability theory},
pages = {223--240},
publisher = {Univ. California Press, Berkeley, Calif.},
year = {1972},
mrclass = {60G15},
mrnumber = {0400380},
mrreviewer = {Maurizio Pratelli}
}
@Article{ burkholder.gundy:70:extrapolation,
author = {Burkholder, D. L. and Gundy, R. F.},
title = {Extrapolation and interpolation of quasi-linear operators
on martingales},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {124},
year = {1970},
pages = {249--304},
issn = {0001-5962},
mrclass = {60G45},
mrnumber = {440695},
mrreviewer = {Maurizio Pratelli},
doi = {10.1007/BF02394573},
url = {https://doi.org/10.1007/BF02394573}
}
@Article{ burkholder:66:martingale,
author = {Burkholder, D. L.},
title = {Martingale transforms},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {37},
year = {1966},
pages = {1494--1504},
issn = {0003-4851},
mrclass = {60.40},
mrnumber = {208647},
mrreviewer = {K. Krickeberg},
doi = {10.1214/aoms/1177699141},
url = {https://doi.org/10.1214/aoms/1177699141}
}
@Article{ burq.thomann.ea:18:remarks,
author = {Burq, Nicolas and Thomann, Laurent and Tzvetkov, Nikolay},
title = {Remarks on the {G}ibbs measures for nonlinear dispersive
equations},
journal = {Ann. Fac. Sci. Toulouse Math. (6)},
fjournal = {Annales de la Facult\'{e} des Sciences de Toulouse.
Math\'{e}matiques. S\'{e}rie 6},
volume = {27},
year = {2018},
number = {3},
pages = {527--597},
issn = {0240-2963},
mrclass = {35Q55 (35D30 37K05 37L50)},
mrnumber = {3869074},
mrreviewer = {Thierry Cazenave},
doi = {10.5802/afst.1578},
url = {https://doi.org/10.5802/afst.1578}
}
@Article{ burq.tzvetkov:08:random,
author = {Burq, Nicolas and Tzvetkov, Nikolay},
title = {Random data {C}auchy theory for supercritical wave
equations. {II}. {A} global existence result},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {173},
year = {2008},
number = {3},
pages = {477--496},
issn = {0020-9910},
mrclass = {58J45 (35Q55 37L55 81Q20)},
mrnumber = {2425134},
doi = {10.1007/s00222-008-0123-0},
url = {https://doi.org/10.1007/s00222-008-0123-0}
}
@Article{ burton.keane:89:density,
author = {Burton, R. M. and Keane, M.},
title = {Density and uniqueness in percolation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {121},
year = {1989},
number = {3},
pages = {501--505},
issn = {0010-3616},
mrclass = {60K35 (82A43)},
mrnumber = {990777},
mrreviewer = {G. R. Grimmett},
url = {http://projecteuclid.org/euclid.cmp/1104178143}
}
@Book{ busemann:55:geometry,
author = {Busemann, Herbert},
title = {The geometry of geodesics},
publisher = {Academic Press, Inc., New York},
year = {1955},
pages = {x+422},
mrclass = {53.0X},
mrnumber = {75623},
mrreviewer = {L. W. Green}
}
@Article{ busnello.flandoli.ea:05:probabilistic,
author = {Busnello, Barbara and Flandoli, Franco and Romito, Marco},
title = {A probabilistic representation for the vorticity of a
three-dimensional viscous fluid and for general systems of
parabolic equations},
journal = {Proc. Edinb. Math. Soc. (2)},
fjournal = {Proceedings of the Edinburgh Mathematical Society. Series
II},
volume = {48},
year = {2005},
number = {2},
pages = {295--336},
issn = {0013-0915,1464-3839},
mrclass = {35Q30 (35R60 60H10 60H30 60J45 76D05 76M35)},
mrnumber = {2157249},
mrreviewer = {Azzouz\ Dermoune},
doi = {10.1017/S0013091503000506},
url = {https://doi.org/10.1017/S0013091503000506}
}
@Article{ butez.zeitouni:17:universal,
author = {Butez, Rapha\"{e}l and Zeitouni, Ofer},
title = {Universal large deviations for {K}ac polynomials},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {22},
year = {2017},
pages = {Paper No. 6, 10},
issn = {1083-589X},
mrclass = {60F10 (60G99)},
mrnumber = {3607801},
mrreviewer = {Maxim\ L.\ Yattselev},
doi = {10.1214/16-ECP33},
url = {https://doi.org/10.1214/16-ECP33}
}
@Article{ butkovsky.mytnik:19:regularization,
author = {Butkovsky, Oleg and Mytnik, Leonid},
title = {Regularization by noise and flows of solutions for a
stochastic heat equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {1},
pages = {165--212},
issn = {0091-1798},
mrclass = {60H15 (35K58 35R60 60H25)},
mrnumber = {3909968},
mrreviewer = {Dirk Bl\"{o}mker},
doi = {10.1214/18-AOP1259},
url = {https://doi.org/10.1214/18-AOP1259}
}
@Article{ butta.flandoli.ea:19:non-linear,
author = {Butt\`a, Paolo and Flandoli, Franco and Ottobre, Michela
and Zegarlinski, Boguslaw},
title = {A non-linear kinetic model of self-propelled particles
with multiple equilibria},
journal = {Kinet. Relat. Models},
fjournal = {Kinetic and Related Models},
volume = {12},
year = {2019},
number = {4},
pages = {791--827},
issn = {1937-5093,1937-5077},
mrclass = {82C22 (35A01 35B40 35H10 35Q83 82C40)},
mrnumber = {3984751},
doi = {10.3934/krm.2019031},
url = {https://doi.org/10.3934/krm.2019031}
}
@Article{ buzzi.zambotti:12:approximate,
author = {Buzzi, J. and Zambotti, L.},
title = {Approximate maximizers of intricacy functionals},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {153},
year = {2012},
number = {3-4},
pages = {421--440},
issn = {0178-8051,1432-2064},
mrclass = {94A17 (60C05 92C99)},
mrnumber = {2948682},
mrreviewer = {Oliver\ Johnson},
doi = {10.1007/s00440-011-0350-y},
url = {https://doi.org/10.1007/s00440-011-0350-y}
}
@Article{ buzzi.zambotti:12:mean,
author = {Buzzi, J. and Zambotti, L.},
title = {Mean mutual information and symmetry breaking for finite
random fields},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {48},
year = {2012},
number = {2},
pages = {343--367},
issn = {0246-0203,1778-7017},
mrclass = {94A17 (60C05 60G60 92B20)},
mrnumber = {2954258},
mrreviewer = {Christian\ Lavault},
doi = {10.1214/11-AIHP416},
url = {https://doi.org/10.1214/11-AIHP416}
}
@Article{ byrne.owen:04:new,
author = {Byrne, Helen M. and Owen, Markus R.},
title = {A new interpretation of the {K}eller-{S}egel model based
on multiphase modelling},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {49},
year = {2004},
number = {6},
pages = {604--626},
issn = {0303-6812},
mrclass = {92C17 (35K50 35K57 92E20)},
mrnumber = {2109458},
doi = {10.1007/s00285-004-0276-4},
url = {https://doi.org/10.1007/s00285-004-0276-4}
}
@Article{ caballero.banks.ea:22:defense,
title = {Defense and security planning under resource uncertainty
and multi-period commitments},
author = {Caballero, William N and Banks, David and Wu, Keru},
journal = {Naval Research Logistics (NRL)},
volume = {69},
number = {7},
pages = {1009--1026},
year = {2022},
publisher = {Wiley Online Library}
}
@Article{ caballero.fernandez.ea:95:smoothness,
author = {Caballero, Mar\'{i}a Emilia and Fern\'{a}ndez, Bego\~{n}a
and Nualart, David},
title = {Smoothness of distributions for solutions of anticipating
stochastic differential equations},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {52},
year = {1995},
number = {3-4},
pages = {303--322},
issn = {1045-1129},
mrclass = {60H07 (60H10)},
mrnumber = {1381675},
mrreviewer = {Axel Ernest Grorud},
doi = {10.1080/17442509508833978},
url = {https://doi.org/10.1080/17442509508833978}
}
@InCollection{ caballero.fernandez.ea:97:composition,
author = {Caballero, Mar\'{i}a Emilia and Fern\'{a}ndez, Bego\~{n}a
and Nualart, David},
title = {Composition of skeletons and support theorems},
booktitle = {Stochastic differential and difference equations
({G}y\H{o}r, 1996)},
series = {Progr. Systems Control Theory},
volume = {23},
pages = {21--33},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1997},
mrclass = {60H10 (28C20 60B05)},
mrnumber = {1636824},
mrreviewer = {Vigirdas Mackevi\v{c}ius}
}
@Article{ caballero.fernandez.ea:98:estimation,
author = {Caballero, Mar\'{i}a Emilia and Fern\'{a}ndez, Bego\~{n}a
and Nualart, David},
title = {Estimation of densities and applications},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {11},
year = {1998},
number = {3},
pages = {831--851},
issn = {0894-9840},
mrclass = {60H07 (60H15 60J60)},
mrnumber = {1633411},
mrreviewer = {Shi Zan Fang},
doi = {10.1023/A:1022614917458},
url = {https://doi.org/10.1023/A:1022614917458}
}
@InProceedings{ caccetta.v-rehbock:05:modelling,
title = {Modelling transit paths for military vehicles},
author = {Caccetta, L. Loosen, I. and V. Rehbock, V.},
booktitle = {Proceedings of the 16th Congress of the Modelling and
Simulation Society of Australia and New Zealand},
pages = {1751--1757},
year = {2005}
}
@Article{ cadel.tindel.ea:08:sharp,
author = {Cadel, Agnese and Tindel, Samy and Viens, Frederi},
title = {Sharp asymptotics for the partition function of some
continuous-time directed polymers},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {29},
year = {2008},
number = {2},
pages = {139--166},
issn = {0926-2601},
mrclass = {82D60 (60G15 60K37)},
mrnumber = {2430611},
doi = {10.1007/s11118-008-9092-6},
url = {https://doi.org/10.1007/s11118-008-9092-6}
}
@Article{ cafasso.claeys:22:riemann-hilbert,
author = {Cafasso, Mattia and Claeys, Tom},
title = {A {R}iemann-{H}ilbert approach to the lower tail of the
{K}ardar-{P}arisi-{Z}hang equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {75},
year = {2022},
number = {3},
pages = {493--540},
issn = {0010-3640},
mrclass = {60B20 (60F10 60G55)},
mrnumber = {4373176},
doi = {10.1002/cpa.21978},
url = {https://doi.org/10.1002/cpa.21978}
}
@Article{ caffarelli.friedman:85:differentiability,
author = {Caffarelli, Luis A. and Friedman, Avner},
title = {Differentiability of the blow-up curve for one-dimensional
nonlinear wave equations},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {91},
year = {1985},
number = {1},
pages = {83--98},
issn = {0003-9527},
mrclass = {35L70 (35B40)},
mrnumber = {802832},
mrreviewer = {R. Glassey},
doi = {10.1007/BF00280224},
url = {https://doi.org/10.1007/BF00280224}
}
@Article{ caffarelli.friedman:86:blow-up,
author = {Caffarelli, Luis A. and Friedman, Avner},
title = {The blow-up boundary for nonlinear wave equations},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {297},
year = {1986},
number = {1},
pages = {223--241},
issn = {0002-9947},
mrclass = {35L70},
mrnumber = {849476},
mrreviewer = {R. Glassey},
doi = {10.2307/2000465},
url = {https://doi.org/10.2307/2000465}
}
@Article{ caffarelli.soria.ea:13:regularity,
author = {Caffarelli, Luis and Soria, Fernando and V\'{a}zquez, Juan
Luis},
title = {Regularity of solutions of the fractional porous medium
flow},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {15},
year = {2013},
number = {5},
pages = {1701--1746},
issn = {1435-9855},
mrclass = {35R11 (35B65 35K57 35K65 76S05)},
mrnumber = {3082241},
mrreviewer = {Siegfried Carl},
doi = {10.4171/JEMS/401},
url = {https://doi.org/10.4171/JEMS/401}
}
@Article{ caffarelli.vasseur:10:drift,
author = {Caffarelli, Luis A. and Vasseur, Alexis},
title = {Drift diffusion equations with fractional diffusion and
the quasi-geostrophic equation},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {171},
year = {2010},
number = {3},
pages = {1903--1930},
issn = {0003-486X},
mrclass = {35Q35 (35B45 35B65 35R11 76B03 86A10)},
mrnumber = {2680400},
mrreviewer = {Denis Serre},
doi = {10.4007/annals.2010.171.1903},
url = {https://doi.org/10.4007/annals.2010.171.1903}
}
@Article{ caffarelli.vazquez:11:asymptotic,
author = {Caffarelli, Luis A. and V\'{a}zquez, Juan Luis},
title = {Asymptotic behaviour of a porous medium equation with
fractional diffusion},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {29},
year = {2011},
number = {4},
pages = {1393--1404},
issn = {1078-0947},
mrclass = {35R11 (35B40 35J87 35K15 35K55 35K65 76S05)},
mrnumber = {2773189},
mrreviewer = {Philippe Lauren\c{c}ot},
doi = {10.3934/dcds.2011.29.1393},
url = {https://doi.org/10.3934/dcds.2011.29.1393}
}
@Article{ caffarelli.vazquez:11:nonlinear,
author = {Caffarelli, Luis and Vazquez, Juan Luis},
title = {Nonlinear porous medium flow with fractional potential
pressure},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {202},
year = {2011},
number = {2},
pages = {537--565},
issn = {0003-9527},
mrclass = {76S05 (35A01 35D30 35K59 35R11)},
mrnumber = {2847534},
mrreviewer = {Stelian Ion},
doi = {10.1007/s00205-011-0420-4},
url = {https://doi.org/10.1007/s00205-011-0420-4}
}
@Article{ caffarelli.vazquez:15:regularity,
author = {Caffarelli, L. and V\'{a}zquez, J. L.},
title = {Regularity of solutions of the fractional porous medium
flow with exponent 1/2},
journal = {Algebra i Analiz},
fjournal = {Rossi\u{\i}skaya Akademiya Nauk. Algebra i Analiz},
volume = {27},
year = {2015},
number = {3},
pages = {125--156},
issn = {0234-0852},
mrclass = {35R11 (35B65 76S05)},
mrnumber = {3570960},
mrreviewer = {Nataliya Volodymyrivna Vasylyeva},
doi = {10.1090/spmj/1397},
url = {https://doi.org/10.1090/spmj/1397}
}
@Article{ caffarelli.vazquez:95:free-boundary,
author = {Caffarelli, Luis A. and V\'{a}zquez, Juan L.},
title = {A free-boundary problem for the heat equation arising in
flame propagation},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {347},
year = {1995},
number = {2},
pages = {411--441},
issn = {0002-9947},
mrclass = {35K57 (35R35 80A22 80A25)},
mrnumber = {1260199},
mrreviewer = {J. R. Ockendon},
doi = {10.2307/2154895},
url = {https://doi.org/10.2307/2154895}
}
@Article{ cai.cohen.ea:25:strong,
author = {Cai, Meng and Cohen, David and Wang, Xiaojie},
title = {Strong convergence rates for a full discretization of
stochastic wave equation with nonlinear damping},
journal = {J. Sci. Comput.},
fjournal = {Journal of Scientific Computing},
volume = {102},
year = {2025},
number = {2},
pages = {Paper No. 45, 26},
issn = {0885-7474,1573-7691},
mrclass = {65C30 (60H15 60H35 65M75)},
mrnumber = {4846352},
mrreviewer = {Antoine-Marie\ Bogso},
doi = {10.1007/s10915-024-02758-0},
url = {https://doi.org/10.1007/s10915-024-02758-0}
}
@Article{ cai.gan.ea:23:weak,
author = {Cai, Meng and Gan, Siqing and Hu, Yaozhong},
title = {Weak convergence of the backward {E}uler method for
stochastic {C}ahn-{H}illiard equation with additive noise},
journal = {Appl. Numer. Math.},
fjournal = {Applied Numerical Mathematics. An IMACS Journal},
volume = {188},
year = {2023},
pages = {1--20},
issn = {0168-9274,1873-5460},
mrclass = {65C30 (65M60)},
mrnumber = {4563539},
doi = {10.1016/j.apnum.2023.02.015},
url = {https://doi.org/10.1016/j.apnum.2023.02.015}
}
@Article{ cairoli.dalang:95:optimal,
author = {Cairoli, R. and Dalang, Robert C.},
title = {Optimal switching between two random walks},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {4},
pages = {1982--2013},
issn = {0091-1798},
mrclass = {60G40 (60J15 62L15)},
mrnumber = {1379177},
mrreviewer = {H.-J. Engelbert},
url = {http://links.jstor.org/sici?sici=0091-1798(199510)23:4<1982:OSBTRW>2.0.CO;2-P&origin=MSN}
}
@InCollection{ cairoli.dalang:95:optimal*1,
author = {Cairoli, R. and Dalang, Robert C.},
title = {Optimal switching between two {B}rownian motions},
booktitle = {Stochastic analysis ({I}thaca, {NY}, 1993)},
series = {Proc. Sympos. Pure Math.},
volume = {57},
pages = {53--63},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1995},
mrclass = {60G40 (60J65)},
mrnumber = {1335462},
doi = {10.1090/pspum/057/1335462},
url = {https://doi.org/10.1090/pspum/057/1335462}
}
@Book{ cairoli.dalang:96:sequential,
author = {Cairoli, R. and Dalang, Robert C.},
title = {Sequential stochastic optimization},
series = {Wiley Series in Probability and Statistics: Probability
and Statistics},
note = {A Wiley-Interscience Publication},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1996},
pages = {xii+327},
isbn = {0-471-57754-5},
mrclass = {60G40 (62L15 90C15 93E20)},
mrnumber = {1369770},
mrreviewer = {U. Krengel},
doi = {10.1002/9781118164396},
url = {https://doi.org/10.1002/9781118164396}
}
@Article{ cairoli.walsh:75:stochastic,
author = {Cairoli, R. and Walsh, John B.},
title = {Stochastic integrals in the plane},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {134},
year = {1975},
pages = {111--183},
issn = {0001-5962},
mrclass = {60H05},
mrnumber = {420845},
mrreviewer = {V. S. Mandrekar},
doi = {10.1007/BF02392100},
url = {https://doi.org/10.1007/BF02392100}
}
@Article{ cairoli.walsh:77:martingale,
author = {Cairoli, R. and Walsh, J. B.},
title = {Martingale representations and holomorphic processes},
journal = {Ann. Probability},
fjournal = {The Annals of Probability},
volume = {5},
year = {1977},
number = {4},
pages = {511--521},
issn = {0091-1798},
mrclass = {60H05 (60G45)},
mrnumber = {471078},
mrreviewer = {Yu. M. Kabanov},
doi = {10.1214/aop/1176995757},
url = {https://doi.org/10.1214/aop/1176995757}
}
@Article{ calabrese.caux:07:dynamics,
author = {Calabrese, Pasquale and Caux, Jean-S\'{e}bastien},
title = {Dynamics of the attractive 1{D} {B}ose gas: analytical
treatment from integrability},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2007},
number = {8},
pages = {P08032, 27},
mrclass = {82B10 (81R12)},
mrnumber = {2338261},
doi = {10.1088/1742-5468/2007/08/p08032},
url = {https://doi.org/10.1088/1742-5468/2007/08/p08032}
}
@Article{ calabrese.le-doussal:14:interaction,
author = {Calabrese, Pasquale and Le Doussal, Pierre},
title = {Interaction quench in a {L}ieb-{L}iniger model and the
{KPZ} equation with flat initial conditions},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2014},
number = {5},
pages = {P05004, 19},
mrclass = {82C10 (82C23 82C44)},
mrnumber = {3224219},
doi = {10.1088/1742-5468/2014/05/p05004},
url = {https://doi.org/10.1088/1742-5468/2014/05/p05004}
}
@InCollection{ calais.yor:87:renormalisation,
author = {Calais, J. Y. and Yor, M.},
title = {Renormalisation et convergence en loi pour certaines
int\'{e}grales multiples associ\'{e}es au mouvement
brownien dans {${\bf R}^d$}},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXI}},
series = {Lecture Notes in Math.},
volume = {1247},
pages = {375--403},
publisher = {Springer, Berlin},
year = {1987},
mrclass = {60J65 (60F05)},
mrnumber = {941995},
mrreviewer = {L. C. G. Rogers},
doi = {10.1007/BFb0077646},
url = {https://doi.org/10.1007/BFb0077646}
}
@Article{ calderon.spitzer.ea:59:inversion,
author = {Calder\'{o}n, Alberto and Spitzer, Frank and Widom,
Harold},
title = {Inversion of {T}oeplitz matrices},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {3},
year = {1959},
pages = {490--498},
issn = {0019-2082},
mrclass = {46.00 (42.00)},
mrnumber = {121652},
mrreviewer = {P.\ Hartman},
url = {http://projecteuclid.org/euclid.ijm/1255455456}
}
@Article{ calvez.carrillo:06:volume,
author = {Calvez, Vincent and Carrillo, Jos\'{e} A.},
title = {Volume effects in the {K}eller-{S}egel model: energy
estimates preventing blow-up},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {86},
year = {2006},
number = {2},
pages = {155--175},
issn = {0021-7824},
mrclass = {35K50 (35B40 35K55 92C17)},
mrnumber = {2247456},
mrreviewer = {Narcisa C. Apreutesei},
doi = {10.1016/j.matpur.2006.04.002},
url = {https://doi.org/10.1016/j.matpur.2006.04.002}
}
@Article{ calvez.corrias.ea:12:blow-up,
author = {Calvez, Vincent and Corrias, Lucilla and Ebde, Mohamed
Abderrahman},
title = {Blow-up, concentration phenomenon and global existence for
the {K}eller-{S}egel model in high dimension},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {37},
year = {2012},
number = {4},
pages = {561--584},
issn = {0360-5302},
mrclass = {35K40 (35B44)},
mrnumber = {2901058},
mrreviewer = {Wolf-Patrick D\"{u}ll},
doi = {10.1080/03605302.2012.655824},
url = {https://doi.org/10.1080/03605302.2012.655824}
}
@Article{ calvez.corrias:08:parabolic-parabolic,
author = {Calvez, Vincent and Corrias, Lucilla},
title = {The parabolic-parabolic {K}eller-{S}egel model in {$\Bbb
R^2$}},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {6},
year = {2008},
number = {2},
pages = {417--447},
issn = {1539-6746},
mrclass = {35Q80 (35B60 35K45 92B05 92E20)},
mrnumber = {2433703},
url = {http://projecteuclid.org/euclid.cms/1214949930}
}
@Article{ camargo.kifer.ea:22:erdos-renyi-shepp,
author = {Camargo, Darcy and Kifer, Yuri and Zeitouni, Ofer},
title = {The {E}rd\H{o}s-{R}\'{e}nyi-{S}hepp law of large numbers
for ballistic random walk in random environment},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {58},
year = {2022},
number = {4},
pages = {2347--2381},
issn = {0246-0203,1778-7017},
mrclass = {60G50 (60F10 60F15 60K37)},
mrnumber = {4492981},
mrreviewer = {Zakhar\ Kabluchko},
doi = {10.1214/21-aihp1210},
url = {https://doi.org/10.1214/21-aihp1210}
}
@Article{ cambanis.hardin.ea:87:ergodic,
author = {Cambanis, Stamatis and Hardin, Jr., Clyde D. and Weron,
Aleksander},
title = {Ergodic properties of stationary stable processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {24},
year = {1987},
number = {1},
pages = {1--18},
issn = {0304-4149},
mrclass = {60E07 (28D10 47B99 60G10)},
mrnumber = {883599},
mrreviewer = {Yutaka Kato},
doi = {10.1016/0304-4149(87)90024-X},
url = {https://doi.org/10.1016/0304-4149(87)90024-X}
}
@Article{ cambanis.hu:96:exact,
author = {Cambanis, Stamatis and Hu, Yaozhong},
title = {Exact convergence rate of the {E}uler-{M}aruyama scheme,
with application to sampling design},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {59},
year = {1996},
number = {3-4},
pages = {211--240},
issn = {1045-1129},
mrclass = {60H10},
mrnumber = {1427739},
mrreviewer = {Eckhard Platen},
doi = {10.1080/17442509608834090},
url = {https://doi.org/10.1080/17442509608834090}
}
@Article{ cambanis.nolan.ea:90:on,
author = {Cambanis, Stamatis and Nolan, John P. and Rosi\'{n}ski,
Jan},
title = {On the oscillation of infinitely divisible and some other
processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {35},
year = {1990},
number = {1},
pages = {87--97},
issn = {0304-4149},
mrclass = {60G17 (60F20)},
mrnumber = {1062585},
mrreviewer = {Ditlev Monrad},
doi = {10.1016/0304-4149(90)90124-B},
url = {https://doi.org/10.1016/0304-4149(90)90124-B}
}
@Article{ cambanis.podgorski.ea:95:chaotic,
author = {Cambanis, S. and Podg\'{o}rski, K. and Weron, A.},
title = {Chaotic behavior of infinitely divisible processes},
journal = {Studia Math.},
fjournal = {Studia Mathematica},
volume = {115},
year = {1995},
number = {2},
pages = {109--127},
issn = {0039-3223},
mrclass = {60G10 (28D10 60E07 60G57)},
mrnumber = {1347436},
mrreviewer = {Tomasz J. Kozubowski}
}
@Article{ cambronero.mckean:99:ground,
author = {Cambronero, S. and McKean, H. P.},
title = {The ground state eigenvalue of {H}ill's equation with
white noise potential},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {52},
year = {1999},
number = {10},
pages = {1277--1294},
issn = {0010-3640},
mrclass = {60H25 (34B30 34F05 60J65 82B44)},
mrnumber = {1699969},
mrreviewer = {Nariyuki Minami},
doi = {10.1002/(SICI)1097-0312(199910)52:10<1277::AID-CPA5>3.0.CO;2-L},
url = {https://doi.org/10.1002/(SICI)1097-0312(199910)52:10<1277::AID-CPA5>3.0.CO;2-L}
}
@InCollection{ cambronero.ramirez.ea:08:riccati,
author = {Cambronero, Santiago and Ram\'{i}rez, Jos\'{e} and Rider,
Brian},
title = {The {R}iccati map in random {S}chr\"{o}dinger and random
matrix theory},
booktitle = {Probability, geometry and integrable systems},
series = {Math. Sci. Res. Inst. Publ.},
volume = {55},
pages = {77--101},
publisher = {Cambridge Univ. Press, Cambridge},
year = {2008},
mrclass = {47B80 (34L40 47E05 60B20 60H25 82B44)},
mrnumber = {2407593},
mrreviewer = {Boris A. Khoruzhenko}
}
@Article{ cambronero.rider.ea:06:erratum,
author = {Cambronero, Santiago and Rider, Brian and Ram\'{i}rez,
Jos\'{e}},
title = {Erratum: ``{O}n the shape of the ground state eigenvalue
density of a random {H}ill's equation'' [{C}omm. {P}ure
{A}ppl. {M}ath. {\bf 59} (2006), no. 7, 935--976;
MR2222441]},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {59},
year = {2006},
number = {9},
pages = {1377},
issn = {0010-3640},
mrclass = {34B30 (34F05 34L99 47B80 47E05 60H40)},
mrnumber = {2237291},
doi = {10.1002/cpa.20149},
url = {https://doi.org/10.1002/cpa.20149}
}
@Article{ cambronero.rider.ea:06:on,
author = {Cambronero, Santiago and Rider, B. and Ram\'{i}rez,
Jos\'{e}},
title = {On the shape of the ground state eigenvalue density of a
random {H}ill's equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {59},
year = {2006},
number = {7},
pages = {935--976},
issn = {0010-3640},
mrclass = {34B30 (34F05 34L99 47B80 47E05 60H40)},
mrnumber = {2222441},
doi = {10.1002/cpa.20104},
url = {https://doi.org/10.1002/cpa.20104}
}
@Book{ camerer:11:behavioral,
title = {Behavioral game theory: Experiments in strategic
interaction},
author = {Camerer, Colin F},
year = {2011},
publisher = {Princeton University Press}
}
@Article{ camia.newman:06:two-dimensional,
author = {Camia, Federico and Newman, Charles M.},
title = {Two-dimensional critical percolation: the full scaling
limit},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {268},
year = {2006},
number = {1},
pages = {1--38},
issn = {0010-3616},
mrclass = {82B43 (60K35)},
mrnumber = {2249794},
mrreviewer = {Christophe Garban},
doi = {10.1007/s00220-006-0086-1},
url = {https://doi.org/10.1007/s00220-006-0086-1}
}
@Article{ campese.nourdin.ea:16:multivariate,
author = {Campese, Simon and Nourdin, Ivan and Peccati, Giovanni and
Poly, Guillaume},
title = {Multivariate {G}aussian approximations on {M}arkov
chaoses},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {21},
year = {2016},
pages = {Paper No. 48, 9},
mrclass = {60F05 (60J35 60J99)},
mrnumber = {3522594},
mrreviewer = {Daniel M. Harnett},
doi = {10.1214/16-ECP4615},
url = {https://doi.org/10.1214/16-ECP4615}
}
@Article{ campese.nourdin.ea:20:continuous,
author = {Campese, Simon and Nourdin, Ivan and Nualart, David},
title = {Continuous {B}reuer-{M}ajor theorem: tightness and
nonstationarity},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {1},
pages = {147--177},
issn = {0091-1798},
mrclass = {60G15 (60F17 60G05 60H07)},
mrnumber = {4079433},
mrreviewer = {Viet-Hung Pham},
doi = {10.1214/19-AOP1357},
url = {https://doi.org/10.1214/19-AOP1357}
}
@Article{ campos.dolbeault:14:asymptotic,
author = {Campos, Juan F. and Dolbeault, Jean},
title = {Asymptotic estimates for the parabolic-elliptic
{K}eller-{S}egel model in the plane},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {39},
year = {2014},
number = {5},
pages = {806--841},
issn = {0360-5302},
mrclass = {35M31 (35B40 35P15 92C17)},
mrnumber = {3196188},
mrreviewer = {Adrien Blanchet},
doi = {10.1080/03605302.2014.885046},
url = {https://doi.org/10.1080/03605302.2014.885046}
}
@Article{ campos.drewitz.ea:13:level,
author = {Campos, David and Drewitz, Alexander and Ram\'{i}rez,
Alejandro F. and Rassoul-Agha, Firas and
Sepp\"{a}l\"{a}inen, Timo},
title = {Level 1 quenched large deviation principle for random walk
in dynamic random environment},
journal = {Bull. Inst. Math. Acad. Sin. (N.S.)},
fjournal = {Bulletin of the Institute of Mathematics. Academia Sinica.
New Series},
volume = {8},
year = {2013},
number = {1},
pages = {1--29},
issn = {2304-7909},
mrclass = {60F10 (60K37 82C41)},
mrnumber = {3097414},
mrreviewer = {Ofer Zeitouni}
}
@Article{ candil.chen.ea:24:parabolic,
author = {Candil, David and Chen, Le and Lee, Cheuk Yin},
title = {Parabolic stochastic {PDE}s on bounded domains with rough
initial conditions: moment and correlation bounds},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {12},
year = {2024},
number = {3},
pages = {1507--1573},
issn = {2194-0401},
mrclass = {60H15 (35K20 35R60)},
mrnumber = {4781791},
doi = {10.1007/s40072-023-00310-z},
url = {https://doi.org/10.1007/s40072-023-00310-z}
}
@Article{ candil:22:localization,
title = {Localization errors of the stochastic heat equation},
author = {Candil, David Jean-Michel},
journal = {EPFL Ph.D. Thesis},
institution = {MATHAA},
publisher = {EPFL},
address = {Lausanne},
pages = {221},
year = {2022},
url = {http://infoscience.epfl.ch/record/291119},
doi = {10.5075/epfl-thesis-7742}
}
@Book{ cannarsa.sinestrari:04:semiconcave,
author = {Cannarsa, Piermarco and Sinestrari, Carlo},
title = {Semiconcave functions, {H}amilton-{J}acobi equations, and
optimal control},
series = {Progress in Nonlinear Differential Equations and their
Applications},
volume = {58},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {2004},
pages = {xiv+304},
isbn = {0-8176-4084-3},
mrclass = {49-02 (35F20 49K20 49L20)},
mrnumber = {2041617},
mrreviewer = {Pierre Cardaliaguet}
}
@Article{ cannizzaro.chouk:18:multidimensional,
author = {Cannizzaro, Giuseppe and Chouk, Khalil},
title = {Multidimensional {SDE}s with singular drift and universal
construction of the polymer measure with white noise
potential},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {46},
year = {2018},
number = {3},
pages = {1710--1763},
issn = {0091-1798},
mrclass = {60J60 (60H15 60K35)},
mrnumber = {3785598},
doi = {10.1214/17-AOP1213},
url = {https://doi.org/10.1214/17-AOP1213}
}
@Article{ cannizzaro.erhard.ea:21:2d,
author = {Cannizzaro, Giuseppe and Erhard, Dirk and Sch\"{o}nbauer,
Philipp},
title = {2{D} anisotropic {KPZ} at stationarity: scaling, tightness
and nontriviality},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {1},
pages = {122--156},
issn = {0091-1798},
mrclass = {60H15 (35R60 60F17 60H07)},
mrnumber = {4203334},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/20-AOP1446},
url = {https://doi.org/10.1214/20-AOP1446}
}
@Article{ cannizzaro.friz.ea:17:malliavin,
author = {Cannizzaro, G. and Friz, P. K. and Gassiat, P.},
title = {Malliavin calculus for regularity structures: the case of
g{PAM}},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {272},
year = {2017},
number = {1},
pages = {363--419},
issn = {0022-1236},
mrclass = {60H10 (35D30 35K15 35K91 35R60 60H07)},
mrnumber = {3567508},
mrreviewer = {Yaozhong Hu},
doi = {10.1016/j.jfa.2016.09.024},
url = {https://doi.org/10.1016/j.jfa.2016.09.024}
}
@Article{ cannizzaro.matetski:18:space-time,
author = {Cannizzaro, G. and Matetski, K.},
title = {Space-time discrete {KPZ} equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {358},
year = {2018},
number = {2},
pages = {521--588},
issn = {0010-3616},
mrclass = {60H15 (60H35)},
mrnumber = {3774431},
doi = {10.1007/s00220-018-3089-9},
url = {https://doi.org/10.1007/s00220-018-3089-9}
}
@Article{ cantarella.duplantier.ea:16:fast,
author = {Cantarella, Jason and Duplantier, Bertrand and Shonkwiler,
Clayton and Uehara, Erica},
title = {A fast direct sampling algorithm for equilateral closed
polygons},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {49},
year = {2016},
number = {27},
pages = {275202, 9},
issn = {1751-8113},
mrclass = {60J22 (52B12)},
mrnumber = {3512103},
doi = {10.1088/1751-8113/49/27/275202},
url = {https://doi.org/10.1088/1751-8113/49/27/275202}
}
@Article{ cao.shen:17:spreading,
author = {Cao, Feng and Shen, Wenxian},
title = {Spreading speeds and transition fronts of lattice {KPP}
equations in time heterogeneous media},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {37},
year = {2017},
number = {9},
pages = {4697--4727},
issn = {1078-0947,1553-5231},
mrclass = {35Q53 (34A33 35C07)},
mrnumber = {3661816},
mrreviewer = {Wei-Jie\ Sheng},
doi = {10.3934/dcds.2017202},
url = {https://doi.org/10.3934/dcds.2017202}
}
@Article{ cao.wang.ea:16:asymptotic,
author = {Cao, Junhong and Wang, Wei and Yu, Hao},
title = {Asymptotic behavior of solutions to two-dimensional
chemotaxis system with logistic source and singular
sensitivity},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {436},
year = {2016},
number = {1},
pages = {382--392},
issn = {0022-247X},
mrclass = {35K51 (35B40 35M33 35Q92 92C17)},
mrnumber = {3440100},
doi = {10.1016/j.jmaa.2015.11.058},
url = {https://doi.org/10.1016/j.jmaa.2015.11.058}
}
@Article{ capasso.flandoli:16:on,
author = {Capasso, Vincenzo and Flandoli, Franco},
title = {On stochastic distributions and currents},
journal = {Math. Mech. Complex Syst.},
fjournal = {Mathematics and Mechanics of Complex Systems},
volume = {4},
year = {2016},
number = {3-4},
pages = {373--406},
issn = {2326-7186,2325-3444},
mrclass = {28A75 (47B80 52A22 53C65 60D05 60H25)},
mrnumber = {3608284},
doi = {10.2140/memocs.2016.4.373},
url = {https://doi.org/10.2140/memocs.2016.4.373}
}
@Article{ capasso.flandoli:19:on,
author = {Capasso, V. and Flandoli, F.},
title = {On the mean field approximation of a stochastic model of
tumour-induced angiogenesis},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {30},
year = {2019},
number = {4},
pages = {619--658},
issn = {0956-7925,1469-4425},
mrclass = {92C17 (60B10 60H10 60K35 92C42)},
mrnumber = {3977343},
doi = {10.1017/s0956792518000347},
url = {https://doi.org/10.1017/s0956792518000347}
}
@Article{ capasso.fortunato:80:stability,
author = {Capasso, Vincenzo and Fortunato, Donato},
title = {Stability results for semilinear evolution equations and
their application to some reaction-diffusion problems},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {39},
year = {1980},
number = {1},
pages = {37--47},
issn = {0036-1399},
mrclass = {35K55 (92A15)},
mrnumber = {585827},
mrreviewer = {Joel Smoller},
doi = {10.1137/0139005},
url = {https://doi.org/10.1137/0139005}
}
@Book{ capasso.merzbach.ea:03:topics,
author = {Capasso, V. and Merzbach, E. and Ivanoff, B. G. and Dozzi,
M. and Dalang, R. C. and Mountford, T. S.},
title = {Topics in spatial stochastic processes},
series = {Lecture Notes in Mathematics},
volume = {1802},
note = {Lectures given at the C.I.M.E. Summer School on Spatial
Stochastic Processes held in Martina Franca, July 1--8,
2001, Edited by Ely Merzbach},
publisher = {Springer-Verlag, Berlin},
year = {2003},
pages = {viii+245},
isbn = {3-540-00295-2},
mrclass = {60-06},
mrnumber = {1975515},
doi = {10.1007/b10143},
url = {https://doi.org/10.1007/b10143}
}
@Article{ capinski.peszat:01:on,
author = {Capi\'{n}ski, Marek and Peszat, Szymon},
title = {On the existence of a solution to stochastic
{N}avier-{S}tokes equations},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {44},
year = {2001},
number = {2},
pages = {141--177},
issn = {0362-546X,1873-5215},
mrclass = {60H15 (35Q30 35R60 76D05)},
mrnumber = {1816656},
mrreviewer = {Anna\ Karczewska},
doi = {10.1016/S0362-546X(99)00255-2},
url = {https://doi.org/10.1016/S0362-546X(99)00255-2}
}
@Article{ capinski.peszat:97:local,
author = {Capi\'{n}ski, Marek and Peszat, Szymon},
title = {Local existence and uniqueness of strong solutions to
{$3$}-{D} stochastic {N}avier-{S}tokes equations},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {4},
year = {1997},
number = {2},
pages = {185--200},
issn = {1021-9722,1420-9004},
mrclass = {60H15 (35Q30 35R60 76D05 76M35)},
mrnumber = {1446215},
mrreviewer = {Wilfried\ Grecksch},
doi = {10.1007/PL00001415},
url = {https://doi.org/10.1007/PL00001415}
}
@Article{ capitaine.hsu.ea:97:martingale,
author = {Capitaine, Mireille and Hsu, Elton P. and Ledoux, Michel},
title = {Martingale representation and a simple proof of
logarithmic {S}obolev inequalities on path spaces},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {2},
year = {1997},
pages = {71--81},
issn = {1083-589X},
mrclass = {60J65 (58D20 58G32 60B15 60D05 60H07)},
mrnumber = {1484557},
mrreviewer = {Shi Zan Fang},
doi = {10.1214/ECP.v2-986},
url = {https://doi.org/10.1214/ECP.v2-986}
}
@Article{ capitaine.peche:16:fluctuations,
author = {Capitaine, Mireille and P\'ech\'e, Sandrine},
title = {Fluctuations at the edges of the spectrum of the full rank
deformed {GUE}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {165},
year = {2016},
number = {1-2},
pages = {117--161},
issn = {0178-8051,1432-2064},
mrclass = {15B52 (15A18 46L54 60B20 60F05)},
mrnumber = {3500269},
doi = {10.1007/s00440-015-0628-6},
url = {https://doi.org/10.1007/s00440-015-0628-6}
}
@Article{ caputo.carcione.ea:11:wave,
title = {Wave Simulation in Biologic Media Based on the
Kelvin-Voigt Fractional-Derivative Stress-Strain Relation},
journal = {Ultrasound in Medicine \& Biology},
volume = {37},
number = {6},
pages = {996--1004},
year = {2011},
issn = {0301-5629},
doi = {https://doi.org/10.1016/j.ultrasmedbio.2011.03.009},
url = {https://www.sciencedirect.com/science/article/pii/S0301562911001578},
author = {Michele Caputo and Jos\'{e} M. Carcione and Fabio
Cavallini}
}
@Article{ caputo.labbe.ea:20:mixing,
author = {Caputo, Pietro and Labb\'{e}, Cyril and Lacoin, Hubert},
title = {Mixing time of the adjacent walk on the simplex},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {5},
pages = {2449--2493},
issn = {0091-1798},
mrclass = {60J27 (37A25 82C22)},
mrnumber = {4152648},
doi = {10.1214/20-AOP1428},
url = {https://doi.org/10.1214/20-AOP1428}
}
@Article{ caputo.labbe.ea:22:spectral,
author = {Caputo, Pietro and Labb\'{e}, Cyril and Lacoin, Hubert},
title = {Spectral gap and cutoff phenomenon for the {G}ibbs sampler
of {$\nabla\varphi$} interfaces with convex potential},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {58},
year = {2022},
number = {2},
pages = {794--826},
issn = {0246-0203},
mrclass = {60J25 (37A60 60J35 82C22)},
mrnumber = {4421608},
doi = {10.1214/21-aihp1174},
url = {https://doi.org/10.1214/21-aihp1174}
}
@Article{ caputo.lacoin.ea:12:polymer,
author = {Caputo, Pietro and Lacoin, Hubert and Martinelli, Fabio
and Simenhaus, Fran\c cois and Toninelli, Fabio Lucio},
title = {Polymer dynamics in the depinned phase: metastability with
logarithmic barriers},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {153},
year = {2012},
number = {3-4},
pages = {587--641},
issn = {0178-8051,1432-2064},
mrclass = {60K35 (82Dxx)},
mrnumber = {2948687},
doi = {10.1007/s00440-011-0355-6},
url = {https://doi.org/10.1007/s00440-011-0355-6}
}
@Article{ caputo:67:linear,
author = {Caputo, Michele},
title = {Linear Models of Dissipation whose $Q$ is almost Frequency
Independent--{II}},
journal = {Geophysical Journal International},
volume = {13},
number = {5},
pages = {529--539},
year = {1967},
month = {11},
issn = {0956-540X},
doi = {10.1111/j.1365-246X.1967.tb02303.x},
url = {https://doi.org/10.1111/j.1365-246X.1967.tb02303.x},
eprint = {https://academic.oup.com/gji/article-pdf/13/5/529/1600098/13-5-529.pdf}
}
@Article{ caravenna.carmona.ea:12:discrete-time,
author = {Caravenna, Francesco and Carmona, Philippe and
P\'{e}tr\'{e}lis, Nicolas},
title = {The discrete-time parabolic {A}nderson model with
heavy-tailed potential},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {48},
year = {2012},
number = {4},
pages = {1049--1080},
issn = {0246-0203},
mrclass = {60K37 (82B41 82B44)},
mrnumber = {3052403},
mrreviewer = {Rongfeng Sun},
doi = {10.1214/11-AIHP465},
url = {https://doi.org/10.1214/11-AIHP465}
}
@Article{ caravenna.chaumont:08:invariance,
author = {Caravenna, Francesco and Chaumont, Lo\"{i}c},
title = {Invariance principles for random walks conditioned to stay
positive},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {44},
year = {2008},
number = {1},
pages = {170--190},
issn = {0246-0203},
mrclass = {60F17 (60B10 60G18)},
mrnumber = {2451576},
mrreviewer = {George Stoica},
doi = {10.1214/07-AIHP119},
url = {https://doi.org/10.1214/07-AIHP119}
}
@Article{ caravenna.chaumont:13:invariance,
author = {Caravenna, Francesco and Chaumont, Lo\"{i}c},
title = {An invariance principle for random walk bridges
conditioned to stay positive},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {18},
year = {2013},
pages = {no. 60, 32},
mrclass = {60G50 (60F17 60G51)},
mrnumber = {3068391},
mrreviewer = {Allan Gut},
doi = {10.1214/EJP.v18-2362},
url = {https://doi.org/10.1214/EJP.v18-2362}
}
@Article{ caravenna.corbetta:16:general,
author = {Caravenna, Francesco and Corbetta, Jacopo},
title = {General smile asymptotics with bounded maturity},
journal = {SIAM J. Financial Math.},
fjournal = {SIAM Journal on Financial Mathematics},
volume = {7},
year = {2016},
number = {1},
pages = {720--759},
mrclass = {91G20 (60G44 91B25)},
mrnumber = {3562364},
doi = {10.1137/15M1031102},
url = {https://doi.org/10.1137/15M1031102}
}
@Article{ caravenna.corbetta:18:asymptotic,
author = {Caravenna, Francesco and Corbetta, Jacopo},
title = {The asymptotic smile of a multiscaling stochastic
volatility model},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {128},
year = {2018},
number = {3},
pages = {1034--1071},
issn = {0304-4149},
mrclass = {60H30 (60F10 60G44 91B25)},
mrnumber = {3758347},
doi = {10.1016/j.spa.2017.06.014},
url = {https://doi.org/10.1016/j.spa.2017.06.014}
}
@Article{ caravenna.cottini:22:gaussian,
author = {Caravenna, Francesco and Cottini, Francesca},
title = {Gaussian limits for subcritical chaos},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {27},
year = {2022},
pages = {Paper No. 81, 35},
mrclass = {60F05 (35R60 82B44)},
mrnumber = {4441143},
doi = {10.1214/22-ejp798},
url = {https://doi.org/10.1214/22-ejp798}
}
@Article{ caravenna.deuschel:08:pinning,
author = {Caravenna, Francesco and Deuschel, Jean-Dominique},
title = {Pinning and wetting transition for {$(1+1)$}-dimensional
fields with {L}aplacian interaction},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {36},
year = {2008},
number = {6},
pages = {2388--2433},
issn = {0091-1798},
mrclass = {60K35 (60F05 82B41)},
mrnumber = {2478687},
doi = {10.1214/08-AOP395},
url = {https://doi.org/10.1214/08-AOP395}
}
@Article{ caravenna.deuschel:09:scaling,
author = {Caravenna, Francesco and Deuschel, Jean-Dominique},
title = {Scaling limits of {$(1+1)$}-dimensional pinning models
with {L}aplacian interaction},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {3},
pages = {903--945},
issn = {0091-1798},
mrclass = {60K35 (60F05 82B41)},
mrnumber = {2537545},
mrreviewer = {Zhong Gen Su},
doi = {10.1214/08-AOP424},
url = {https://doi.org/10.1214/08-AOP424}
}
@Article{ caravenna.doney:19:local,
author = {Caravenna, Francesco and Doney, Ron},
title = {Local large deviations and the strong renewal theorem},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 72, 48},
mrclass = {60K05 (60F10 60G50)},
mrnumber = {3978222},
doi = {10.1214/19-EJP319},
url = {https://doi.org/10.1214/19-EJP319}
}
@Article{ caravenna.garavaglia.ea:19:diameter,
author = {Caravenna, Francesco and Garavaglia, Alessandro and van
der Hofstad, Remco},
title = {Diameter in ultra-small scale-free random graphs},
journal = {Random Structures Algorithms},
fjournal = {Random Structures \& Algorithms},
volume = {54},
year = {2019},
number = {3},
pages = {444--498},
issn = {1042-9832},
mrclass = {05C80 (05C12)},
mrnumber = {3938775},
mrreviewer = {Pietro Poggi-Corradini},
doi = {10.1002/rsa.20798},
url = {https://doi.org/10.1002/rsa.20798}
}
@Article{ caravenna.giacomin.ea:06:numerical,
author = {Caravenna, Francesco and Giacomin, Giambattista and
Gubinelli, Massimiliano},
title = {A numerical approach to copolymers at selective
interfaces},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {122},
year = {2006},
number = {4},
pages = {799--832},
issn = {0022-4715},
mrclass = {82B24 (82-08 82D60)},
mrnumber = {2213950},
mrreviewer = {Stuart G. Whittington},
doi = {10.1007/s10955-005-8081-z},
url = {https://doi.org/10.1007/s10955-005-8081-z}
}
@Article{ caravenna.giacomin.ea:06:sharp,
author = {Caravenna, Francesco and Giacomin, Giambattista and
Zambotti, Lorenzo},
title = {Sharp asymptotic behavior for wetting models in
{$(1+1)$}-dimension},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {11},
year = {2006},
pages = {no. 14, 345--362},
issn = {1083-6489},
mrclass = {60K10 (60K05)},
mrnumber = {2217821},
mrreviewer = {No\"{e}l Veraverbeke},
doi = {10.1214/EJP.v11-320},
url = {https://doi.org/10.1214/EJP.v11-320}
}
@Article{ caravenna.giacomin.ea:07:infinite,
author = {Caravenna, F. and Giacomin, G. and Zambotti, L.},
title = {Infinite volume limits of polymer chains with periodic
charges},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {13},
year = {2007},
number = {4},
pages = {697--730},
issn = {1024-2953},
mrclass = {60K35 (60K37 60K40 82B41 82B44)},
mrnumber = {2381597},
mrreviewer = {Agnieszka Jurlewicz}
}
@Article{ caravenna.giacomin.ea:07:renewal,
author = {Caravenna, Francesco and Giacomin, Giambattista and
Zambotti, Lorenzo},
title = {A renewal theory approach to periodic copolymers with
adsorption},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {17},
year = {2007},
number = {4},
pages = {1362--1398},
issn = {1050-5164},
mrclass = {60K35 (60K05 82B41 82B44)},
mrnumber = {2344310},
mrreviewer = {Stuart G. Whittington},
doi = {10.1214/105051607000000159},
url = {https://doi.org/10.1214/105051607000000159}
}
@Article{ caravenna.giacomin.ea:10:large,
author = {Caravenna, Francesco and Giacomin, Giambattista and
Gubinelli, Massimiliano},
title = {Large scale behavior of semiflexible heteropolymers},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {46},
year = {2010},
number = {1},
pages = {97--118},
issn = {0246-0203},
mrclass = {60K37 (43A75 60F05 82B44)},
mrnumber = {2641772},
mrreviewer = {Quansheng Liu},
doi = {10.1214/08-AIHP310},
url = {https://doi.org/10.1214/08-AIHP310}
}
@InCollection{ caravenna.giacomin.ea:12:copolymers,
author = {Caravenna, Francesco and Giacomin, Giambattista and
Toninelli, Fabio Lucio},
title = {Copolymers at selective interfaces: settled issues and
open problems},
booktitle = {Probability in complex physical systems},
series = {Springer Proc. Math.},
volume = {11},
pages = {289--311},
publisher = {Springer, Heidelberg},
year = {2012},
mrclass = {60K35 (60-02 82B41 82D60)},
mrnumber = {3372853},
mrreviewer = {Francis Comets},
doi = {10.1007/978-3-642-23811-6\_12},
url = {https://doi.org/10.1007/978-3-642-23811-6_12}
}
@Article{ caravenna.giacomin:05:on,
author = {Caravenna, Francesco and Giacomin, Giambattista},
title = {On constrained annealed bounds for pinning and wetting
models},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {10},
year = {2005},
pages = {179--189},
issn = {1083-589X},
mrclass = {82B44 (60K35 82B41)},
mrnumber = {2162817},
doi = {10.1214/ECP.v10-1150},
url = {https://doi.org/10.1214/ECP.v10-1150}
}
@Article{ caravenna.giacomin:10:weak,
author = {Caravenna, Francesco and Giacomin, Giambattista},
title = {The weak coupling limit of disordered copolymer models},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {6},
pages = {2322--2378},
issn = {0091-1798},
mrclass = {60K37 (60G52 60K05 82B41 82B44)},
mrnumber = {2683632},
mrreviewer = {Laurent Miclo},
doi = {10.1214/10-AOP546},
url = {https://doi.org/10.1214/10-AOP546}
}
@InCollection{ caravenna.hollander.ea:12:lectures,
author = {Caravenna, Francesco and den Hollander, Frank and
P\'{e}tr\'{e}lis, Nicolas},
title = {Lectures on random polymers},
booktitle = {Probability and statistical physics in two and more
dimensions},
series = {Clay Math. Proc.},
volume = {15},
pages = {319--393},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2012},
mrclass = {60K37 (60F10 82B26 82D60 92D20)},
mrnumber = {3025394},
mrreviewer = {Stavros Vakeroudis}
}
@Article{ caravenna.hollander.ea:16:annealed,
author = {Caravenna, F. and den Hollander, F. and P\'{e}tr\'{e}lis,
N. and Poisat, J.},
title = {Annealed scaling for a charged polymer},
journal = {Math. Phys. Anal. Geom.},
fjournal = {Mathematical Physics, Analysis and Geometry. An
International Journal Devoted to the Theory and
Applications of Analysis and Geometry to Physics},
volume = {19},
year = {2016},
number = {1},
pages = {Art. 2, 87},
issn = {1385-0172},
mrclass = {60K37 (60F10 82B26 82B41 82B44 82D60)},
mrnumber = {3457005},
mrreviewer = {Francis Comets},
doi = {10.1007/s11040-016-9205-1},
url = {https://doi.org/10.1007/s11040-016-9205-1}
}
@Article{ caravenna.hollander:13:general,
author = {Caravenna, Francesco and den Hollander, Frank},
title = {A general smoothing inequality for disordered polymers},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {18},
year = {2013},
pages = {no. 76, 15},
mrclass = {60K35 (82B44 82D60)},
mrnumber = {3109631},
doi = {10.1214/ECP.v18-2874},
url = {https://doi.org/10.1214/ECP.v18-2874}
}
@Article{ caravenna.hollander:21:phase,
author = {Caravenna, Francesco and den Hollander, Frank},
title = {Phase transitions for spatially extended pinning},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {181},
year = {2021},
number = {1-3},
pages = {329--375},
issn = {0178-8051},
mrclass = {60K37 (82B41 82B44)},
mrnumber = {4341076},
doi = {10.1007/s00440-021-01068-y},
url = {https://doi.org/10.1007/s00440-021-01068-y}
}
@Article{ caravenna.petrelis:09:depinning,
author = {Caravenna, F. and P\'{e}tr\'{e}lis, N.},
title = {Depinning of a polymer in a multi-interface medium},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {14},
year = {2009},
pages = {no. 70, 2038--2067},
mrclass = {60K35 (60F05 82D60)},
mrnumber = {2550292},
mrreviewer = {Marcel Ortgiese},
doi = {10.1214/EJP.v14-698},
url = {https://doi.org/10.1214/EJP.v14-698}
}
@Article{ caravenna.petrelis:09:polymer,
author = {Caravenna, Francesco and P\'{e}tr\'{e}lis, Nicolas},
title = {A polymer in a multi-interface medium},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {19},
year = {2009},
number = {5},
pages = {1803--1839},
issn = {1050-5164},
mrclass = {60K35 (60F05 82B44 82D60)},
mrnumber = {2569808},
mrreviewer = {Marcel Ortgiese},
doi = {10.1214/08-AAP594},
url = {https://doi.org/10.1214/08-AAP594}
}
@Article{ caravenna.sun.ea:16:continuum,
author = {Caravenna, Francesco and Sun, Rongfeng and Zygouras,
Nikos},
title = {The continuum disordered pinning model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {164},
year = {2016},
number = {1-2},
pages = {17--59},
issn = {0178-8051},
mrclass = {82B44 (60K05 60K35 82D60)},
mrnumber = {3449385},
doi = {10.1007/s00440-014-0606-4},
url = {https://doi.org/10.1007/s00440-014-0606-4}
}
@Article{ caravenna.sun.ea:17:polynomial,
author = {Caravenna, Francesco and Sun, Rongfeng and Zygouras,
Nikos},
title = {Polynomial chaos and scaling limits of disordered
systems},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {19},
year = {2017},
number = {1},
pages = {1--65},
issn = {1435-9855},
mrclass = {82B44 (60G15 60G60 60K35 82D60)},
mrnumber = {3584558},
mrreviewer = {Quentin Berger},
doi = {10.4171/JEMS/660},
url = {https://doi.org/10.4171/JEMS/660}
}
@Article{ caravenna.sun.ea:17:universality,
author = {Caravenna, Francesco and Sun, Rongfeng and Zygouras,
Nikos},
title = {Universality in marginally relevant disordered systems},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {27},
year = {2017},
number = {5},
pages = {3050--3112},
issn = {1050-5164},
mrclass = {82B44 (60K35 82D60)},
mrnumber = {3719953},
doi = {10.1214/17-AAP1276},
url = {https://doi.org/10.1214/17-AAP1276}
}
@Article{ caravenna.sun.ea:19:dickman,
author = {Caravenna, Francesco and Sun, Rongfeng and Zygouras,
Nikos},
title = {The {D}ickman subordinator, renewal theorems, and
disordered systems},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 101, 40},
mrclass = {60K05 (60G51 82B44)},
mrnumber = {4017119},
mrreviewer = {Adam Matthew Bowditch},
doi = {10.1214/19-ejp353},
url = {https://doi.org/10.1214/19-ejp353}
}
@Article{ caravenna.sun.ea:19:on,
author = {Caravenna, Francesco and Sun, Rongfeng and Zygouras,
Nikos},
title = {On the moments of the {$(2+1)$}-dimensional directed
polymer and stochastic heat equation in the critical
window},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {372},
year = {2019},
number = {2},
pages = {385--440},
issn = {0010-3616},
mrclass = {82D60 (60H15)},
mrnumber = {4032870},
doi = {10.1007/s00220-019-03527-z},
url = {https://doi.org/10.1007/s00220-019-03527-z}
}
@Article{ caravenna.sun.ea:20:two-dimensional,
author = {Caravenna, Francesco and Sun, Rongfeng and Zygouras,
Nikos},
title = {The two-dimensional {KPZ} equation in the entire
subcritical regime},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {3},
pages = {1086--1127},
issn = {0091-1798},
mrclass = {60H15 (35K59 35R60 82B44 82D60)},
mrnumber = {4112709},
mrreviewer = {Jiang Lun Wu},
doi = {10.1214/19-AOP1383},
url = {https://doi.org/10.1214/19-AOP1383}
}
@Article{ caravenna.sun.ea:21:critical,
title = {The Critical 2d Stochastic Heat Flow},
author = {Francesco Caravenna and Rongfeng Sun and Nikos Zygouras},
year = {2021},
month = {September},
journal = {Preprint arXiv:2109.03766},
url = {http://arXiv.org/abs/2109.03766}
}
@Article{ caravenna.sun.ea:22:critical,
title = {The critical 2d Stochastic Heat Flow is not a Gaussian
Multiplicative Chaos},
author = {Francesco Caravenna and Rongfeng Sun and Nikos Zygouras},
year = {2022},
month = {June},
journal = {Preprint arXiv:2206.08766},
url = {http://arXiv.org/abs/2206.08766}
}
@Article{ caravenna.sun.ea:23:critical,
author = {Caravenna, Francesco and Sun, Rongfeng and Zygouras,
Nikos},
title = {The critical 2d stochastic heat flow},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {233},
year = {2023},
number = {1},
pages = {325--460},
issn = {0020-9910,1432-1297},
mrclass = {82B44 (35R60 60H15 82D60)},
mrnumber = {4602000},
doi = {10.1007/s00222-023-01184-7},
url = {https://doi.org/10.1007/s00222-023-01184-7}
}
@Article{ caravenna.toninelli.ea:17:universality,
author = {Caravenna, Francesco and Toninelli, Fabio Lucio and Torri,
Niccol\`o},
title = {Universality for the pinning model in the weak coupling
regime},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {4},
pages = {2154--2209},
issn = {0091-1798},
mrclass = {82B44 (60K35 82D60)},
mrnumber = {3693960},
doi = {10.1214/16-AOP1109},
url = {https://doi.org/10.1214/16-AOP1109}
}
@Article{ caravenna.zambotti:20:hairers,
author = {Caravenna, Francesco and Zambotti, Lorenzo},
title = {Hairer's reconstruction theorem without regularity
structures},
journal = {EMS Surv. Math. Sci.},
fjournal = {EMS Surveys in Mathematical Sciences},
volume = {7},
year = {2020},
number = {2},
pages = {207--251},
issn = {2308-2151},
mrclass = {46F10 (60L30)},
mrnumber = {4261666},
mrreviewer = {Luis F. Ragognette},
doi = {10.4171/emss/39},
url = {https://doi.org/10.4171/emss/39}
}
@Article{ caravenna:05:local,
author = {Caravenna, Francesco},
title = {A local limit theorem for random walks conditioned to stay
positive},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {133},
year = {2005},
number = {4},
pages = {508--530},
issn = {0178-8051},
mrclass = {60G50 (60F05 60K05)},
mrnumber = {2197112},
mrreviewer = {No\"{e}l Veraverbeke},
doi = {10.1007/s00440-005-0444-5},
url = {https://doi.org/10.1007/s00440-005-0444-5}
}
@Article{ caravenna:08:polymer,
author = {Caravenna, Francesco},
title = {Polymer models and random walks},
journal = {Boll. Unione Mat. Ital. (9)},
fjournal = {Bollettino della Unione Matematica Italiana. Serie 9},
volume = {1},
year = {2008},
number = {3},
pages = {559--571},
issn = {1972-6724},
mrclass = {82D60 (60K40 82-02 82B41)},
mrnumber = {2455331}
}
@Article{ caravenna:18:on,
author = {Caravenna, Francesco},
title = {On the maximum of conditioned random walks and tightness
for pinning models},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {23},
year = {2018},
pages = {Paper No. 69, 13},
mrclass = {82B41 (60B10 60K35)},
mrnumber = {3866042},
mrreviewer = {Christian Webb},
doi = {10.1214/18-ECP172},
url = {https://doi.org/10.1214/18-ECP172}
}
@Article{ carcione:08:theory,
author = {Carcione, Jos\'{e} M.},
title = {Theory and modeling of constant-$Q$ $P$- and $S$-waves
using fractional time derivatives},
journal = {Geophysics},
volume = {74},
number = {1},
pages = {T1-T11},
year = {2008},
month = {12},
issn = {0016-8033},
doi = {10.1190/1.3008548},
url = {https://doi.org/10.1190/1.3008548},
eprint = {https://pubs.geoscienceworld.org/geophysics/article-pdf/74/1/T1/3216520/gsgpy\_74\_1\_T1.pdf}
}
@Article{ cardon-weber.millet:04:on,
author = {Cardon-Weber, C. and Millet, A.},
title = {On strongly {P}etrovskiu{i}'s parabolic {SPDE}s in
arbitrary dimension and application to the stochastic
{C}ahn-{H}illiard equation},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {17},
year = {2004},
number = {1},
pages = {1--49},
issn = {0894-9840},
mrclass = {60H15 (35A08 35B40 35K55 35R60 60H05)},
mrnumber = {2054575},
mrreviewer = {Robert C. Dalang},
doi = {10.1023/B:JOTP.0000020474.79479.fa},
url = {https://doi.org/10.1023/B:JOTP.0000020474.79479.fa}
}
@Article{ cardon-weber:99:large,
author = {Cardon-Weber, Caroline},
title = {Large deviations for a {B}urgers'-type {SPDE}},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {84},
year = {1999},
number = {1},
pages = {53--70},
issn = {0304-4149},
mrclass = {60F10 (35R60 60H15 60H20 60J25)},
mrnumber = {1720097},
mrreviewer = {Richard B. Sowers},
doi = {10.1016/S0304-4149(99)00047-2},
url = {https://doi.org/10.1016/S0304-4149(99)00047-2}
}
@InCollection{ cardy:90:conformal,
author = {Cardy, John L.},
title = {Conformal invariance and statistical mechanics},
booktitle = {Champs, cordes et ph\'{e}nom\`enes critiques ({L}es
{H}ouches, 1988)},
pages = {169--245},
publisher = {North-Holland, Amsterdam},
year = {1990},
mrclass = {81-02 (81T27 81T40 82B20 82B23)},
mrnumber = {1052933},
mrreviewer = {Tetsuo Deguchi}
}
@Book{ cardy:96:scaling,
author = {Cardy, John},
title = {Scaling and renormalization in statistical physics},
series = {Cambridge Lecture Notes in Physics},
volume = {5},
publisher = {Cambridge University Press, Cambridge},
year = {1996},
pages = {xviii+238},
isbn = {0-521-49959-3},
mrclass = {82-01 (82B28 82C28)},
mrnumber = {1446000},
mrreviewer = {Sergei A. Nemnyugin},
doi = {10.1017/CBO9781316036440},
url = {https://doi.org/10.1017/CBO9781316036440}
}
@Article{ carfagnini.gordina:22:small,
author = {Carfagnini, Marco and Gordina, Maria},
title = {Small deviations and {C}hung's law of iterated logarithm
for a hypoelliptic {B}rownian motion on the {H}eisenberg
group},
journal = {Trans. Amer. Math. Soc. Ser. B},
fjournal = {Transactions of the American Mathematical Society. Series
B},
volume = {9},
year = {2022},
pages = {322--342},
mrclass = {60F17 (60F15 60G51 60J65)},
mrnumber = {4410042},
mrreviewer = {Amites Dasgupta},
doi = {10.1090/btran/102},
url = {https://doi.org/10.1090/btran/102}
}
@Article{ carlen.carvalho.ea:00:central,
author = {Carlen, E. A. and Carvalho, M. C. and Gabetta, E.},
title = {Central limit theorem for {M}axwellian molecules and
truncation of the {W}ild expansion},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {53},
year = {2000},
number = {3},
pages = {370--397},
issn = {0010-3640},
mrclass = {82C40 (60F05 76P05)},
mrnumber = {1725612},
mrreviewer = {Laurent Desvillettes},
doi = {10.1002/(SICI)1097-0312(200003)53:3<370::AID-CPA4>3.0.CO;2-0},
url = {https://doi.org/10.1002/(SICI)1097-0312(200003)53:3<370::AID-CPA4>3.0.CO;2-0}
}
@Article{ carlen.cordero-erausquin:09:subadditivity,
author = {Carlen, Eric A. and Cordero-Erausquin, Dario},
title = {Subadditivity of the entropy and its relation to
{B}rascamp-{L}ieb type inequalities},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {19},
year = {2009},
number = {2},
pages = {373--405},
issn = {1016-443X},
mrclass = {26D15 (28D20 35J10 39B62 60E15 94A17)},
mrnumber = {2545242},
mrreviewer = {Viktor A. Obuljen},
doi = {10.1007/s00039-009-0001-y},
url = {https://doi.org/10.1007/s00039-009-0001-y}
}
@Article{ carlen.frohlich.ea:16:exponential,
author = {Carlen, Eric A. and Fr\"{o}hlich, J\"{u}rg and Lebowitz,
Joel},
title = {Exponential relaxation to equilibrium for a
one-dimensional focusing non-linear {S}chr\"{o}dinger
equation with noise},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {342},
year = {2016},
number = {1},
pages = {303--332},
issn = {0010-3616},
mrclass = {35Q55 (35R60 37K05)},
mrnumber = {3455152},
mrreviewer = {Demetris P. K. Ghikas},
doi = {10.1007/s00220-015-2511-9},
url = {https://doi.org/10.1007/s00220-015-2511-9}
}
@Article{ carlen.kree:91:lp,
author = {Carlen, Eric and Kr\'{e}e, Paul},
title = {{$L^p$} estimates on iterated stochastic integrals},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {19},
year = {1991},
number = {1},
pages = {354--368},
issn = {0091-1798},
mrclass = {60G44 (60H05)},
mrnumber = {1085341},
mrreviewer = {Yu. S. Mishura},
url = {http://links.jstor.org/sici?sici=0091-1798(199101)19:1<354:EOISI>2.0.CO;2-C&origin=MSN}
}
@Article{ carlen.lieb.ea:04:sharp,
author = {Carlen, E. A. and Lieb, E. H. and Loss, M.},
title = {A sharp analog of {Y}oung's inequality on {$S^N$} and
related entropy inequalities},
journal = {J. Geom. Anal.},
fjournal = {The Journal of Geometric Analysis},
volume = {14},
year = {2004},
number = {3},
pages = {487--520},
issn = {1050-6926},
mrclass = {82C05 (52A40 60B15 82C40)},
mrnumber = {2077162},
mrreviewer = {Dario Cordero-Erausquin},
doi = {10.1007/BF02922101},
url = {https://doi.org/10.1007/BF02922101}
}
@Article{ carlitz:61:note,
author = {Carlitz, L.},
title = {Note on {L}ebesgue's constants},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {12},
year = {1961},
pages = {932--935},
issn = {0002-9939},
mrclass = {42.00},
mrnumber = {132955},
mrreviewer = {A. E. Danese},
doi = {10.2307/2034394},
url = {https://doi.org/10.2307/2034394}
}
@InCollection{ carlson:10:elliptic,
author = {Carlson, B. C.},
title = {Elliptic integrals},
booktitle = {N{IST} handbook of mathematical functions},
pages = {485--522},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C75 (33E05)},
mrnumber = {2655359}
}
@Article{ carmona.guerra.ea:06:strong,
author = {Carmona, Philippe and Guerra, Francesco and Hu, Yueyun and
Menjane, Olivier},
title = {Strong disorder for a certain class of directed polymers
in a random environment},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {19},
year = {2006},
number = {1},
pages = {134--151},
issn = {0894-9840},
mrclass = {60K37 (82B44)},
mrnumber = {2256483},
mrreviewer = {Marina Vachkovskaia},
doi = {10.1007/s10959-006-0010-9},
url = {https://doi.org/10.1007/s10959-006-0010-9}
}
@Article{ carmona.hu:02:on,
author = {Carmona, Philippe and Hu, Yueyun},
title = {On the partition function of a directed polymer in a
{G}aussian random environment},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {124},
year = {2002},
number = {3},
pages = {431--457},
issn = {0178-8051},
mrclass = {60K37 (82D30)},
mrnumber = {1939654},
mrreviewer = {Ofer Zeitouni},
doi = {10.1007/s004400200213},
url = {https://doi.org/10.1007/s004400200213}
}
@Article{ carmona.hu:04:fluctuation,
author = {Carmona, Philippe and Hu, Yueyun},
title = {Fluctuation exponents and large deviations for directed
polymers in a random environment},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {112},
year = {2004},
number = {2},
pages = {285--308},
issn = {0304-4149},
mrclass = {60K37 (60F10 82B44 82D60)},
mrnumber = {2073415},
mrreviewer = {B. M. Gurevich},
doi = {10.1016/j.spa.2004.03.006},
url = {https://doi.org/10.1016/j.spa.2004.03.006}
}
@Article{ carmona.hu:06:strong,
author = {Carmona, Philippe and Hu, Yueyun},
title = {Strong disorder implies strong localization for directed
polymers in a random environment},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {2},
year = {2006},
pages = {217--229},
mrclass = {60K37 (60H15 60H30 60K35 82B44)},
mrnumber = {2249669},
mrreviewer = {Wolfgang Freudenberg}
}
@Article{ carmona.hu:06:universality,
author = {Carmona, Philippe and Hu, Yueyun},
title = {Universality in {S}herrington-{K}irkpatrick's spin glass
model},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {42},
year = {2006},
number = {2},
pages = {215--222},
issn = {0246-0203},
mrclass = {82B44 (60K37 82D30)},
mrnumber = {2199799},
mrreviewer = {Anton Bovier},
doi = {10.1016/j.anihpb.2005.04.001},
url = {https://doi.org/10.1016/j.anihpb.2005.04.001}
}
@Article{ carmona.koralov.ea:01:asymptotics,
author = {Carmona, Rene and Koralov, Leonid and Molchanov,
Stanislav},
title = {Asymptotics for the almost sure {L}yapunov exponent for
the solution of the parabolic {A}nderson problem},
journal = {Random Oper. Stochastic Equations},
fjournal = {Random Operators and Stochastic Equations},
volume = {9},
year = {2001},
number = {1},
pages = {77--86},
issn = {0926-6364},
mrclass = {60H15 (60H30)},
mrnumber = {1910468},
mrreviewer = {Wilfried Grecksch},
doi = {10.1515/rose.2001.9.1.77},
url = {https://doi.org/10.1515/rose.2001.9.1.77}
}
@Book{ carmona.lacroix:90:spectral,
author = {Carmona, Ren\'{e} and Lacroix, Jean},
title = {Spectral theory of random {S}chr\"{o}dinger operators},
series = {Probability and its Applications},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {1990},
pages = {xxvi+587},
isbn = {0-8176-3486-X},
mrclass = {47N55 (34F05 34L40 35P25 35R60 47B38 82B44)},
mrnumber = {1102675},
mrreviewer = {Russell A. Johnson},
doi = {10.1007/978-1-4612-4488-2},
url = {https://doi.org/10.1007/978-1-4612-4488-2}
}
@Article{ carmona.masters.ea:90:relativistic,
author = {Carmona, Ren\'e{} and Masters, Wen Chen and Simon, Barry},
title = {Relativistic {S}chr\"odinger operators: asymptotic
behavior of the eigenfunctions},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {91},
year = {1990},
number = {1},
pages = {117--142},
issn = {0022-1236,1096-0783},
mrclass = {35P20 (35J10 35Q75 47F05 47N50 81S40)},
mrnumber = {1054115},
mrreviewer = {Hideo\ Tamura},
doi = {10.1016/0022-1236(90)90049-Q},
url = {https://doi.org/10.1016/0022-1236(90)90049-Q}
}
@Article{ carmona.molchanov:94:parabolic,
author = {Carmona, Ren\'{e} A. and Molchanov, S. A.},
title = {Parabolic {A}nderson problem and intermittency},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {108},
year = {1994},
number = {518},
pages = {viii+125},
issn = {0065-9266},
mrclass = {35K10 (35-02 35R60 60H25 82B44 82C44)},
mrnumber = {1185878},
mrreviewer = {Stanis\l aw W\polhk edrychowicz},
doi = {10.1090/memo/0518},
url = {https://doi.org/10.1090/memo/0518}
}
@Article{ carmona.molchanov:95:stationary,
author = {Carmona, R. A. and Molchanov, S. A.},
title = {Stationary parabolic {A}nderson model and intermittency},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {102},
year = {1995},
number = {4},
pages = {433--453},
issn = {0178-8051},
mrclass = {60H25},
mrnumber = {1346261},
mrreviewer = {Stanis\l aw W\polhk edrychowicz},
doi = {10.1007/BF01198845},
url = {https://doi.org/10.1007/BF01198845}
}
@Article{ carmona.nualart:88:random,
author = {Carmona, Ren\'{e} and Nualart, David},
title = {Random nonlinear wave equations: propagation of
singularities},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {16},
year = {1988},
number = {2},
pages = {730--751},
issn = {0091-1798},
mrclass = {60H15 (35L05 35R60)},
mrnumber = {929075},
url = {http://links.jstor.org/sici?sici=0091-1798(198804)16:2<730:RNWEPO>2.0.CO;2-D&origin=MSN}
}
@Article{ carmona.nualart:88:random*1,
author = {Carmona, Ren\'{e} and Nualart, David},
title = {Random nonlinear wave equations: smoothness of the
solutions},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {79},
year = {1988},
number = {4},
pages = {469--508},
issn = {0178-8051},
mrclass = {60H15 (35L70 35R60 60H07)},
mrnumber = {966173},
mrreviewer = {M. Zakai},
doi = {10.1007/BF00318783},
url = {https://doi.org/10.1007/BF00318783}
}
@Article{ carmona.nualart:88:random*2,
author = {Carmona, Ren\'{e} and Nualart, David},
title = {Random nonlinear wave equations: smoothness of the
solutions},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {79},
year = {1988},
number = {4},
pages = {469--508},
issn = {0178-8051},
mrclass = {60H15 (35L70 35R60 60H07)},
mrnumber = {966173},
mrreviewer = {M. Zakai},
doi = {10.1007/BF00318783},
url = {https://doi.org/10.1007/BF00318783}
}
@Book{ carmona.nualart:90:nonlinear,
author = {Carmona, Ren\'{e} A. and Nualart, David},
title = {Nonlinear stochastic integrators, equations and flows},
series = {Stochastics Monographs},
volume = {6},
publisher = {Gordon and Breach Science Publishers, New York},
year = {1990},
pages = {x+159},
isbn = {2-88124-733-4},
mrclass = {60H05 (60G48 60H10)},
mrnumber = {1056476},
mrreviewer = {Yves Le Jan}
}
@Article{ carmona.nualart:92:traces,
author = {Carmona, Ren\'{e} A. and Nualart, David},
title = {Traces of random variables on {W}iener space and the
{O}nsager-{M}achlup functional},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {107},
year = {1992},
number = {2},
pages = {402--438},
issn = {0022-1236},
mrclass = {60H07},
mrnumber = {1172033},
mrreviewer = {L. A. Shepp},
doi = {10.1016/0022-1236(92)90116-Z},
url = {https://doi.org/10.1016/0022-1236(92)90116-Z}
}
@Book{ carmona.rozovskii:99:stochastic,
title = {Stochastic partial differential equations: six
perspectives},
series = {Mathematical Surveys and Monographs},
volume = {64},
author = {Carmona, Rene A. and Rozovskii, Boris},
publisher = {American Mathematical Society, Providence, RI},
year = {1999},
pages = {xii+334},
isbn = {0-8218-0806-0},
mrclass = {60-06 (35-06 35R60 60H15)},
mrnumber = {1661761},
doi = {10.1090/surv/064},
url = {https://doi.org/10.1090/surv/064}
}
@Article{ carmona.viens.ea:96:sharp,
author = {Carmona, Ren\'{e} and Viens, Frederi G. and Molchanov, S.
A.},
title = {Sharp upper bound on the almost-sure exponential behavior
of a stochastic parabolic partial differential equation},
journal = {Random Oper. Stochastic Equations},
fjournal = {Random Operators and Stochastic Equations},
volume = {4},
year = {1996},
number = {1},
pages = {43--49},
issn = {0926-6364},
mrclass = {60H15 (35K15 35R60)},
mrnumber = {1393184},
mrreviewer = {Krystyna Twardowska},
doi = {10.1515/rose.1996.4.1.43},
url = {https://doi.org/10.1515/rose.1996.4.1.43}
}
@Article{ carmona.viens:98:almost-sure,
author = {Carmona, Ren\'{e} A. and Viens, Frederi G.},
title = {Almost-sure exponential behavior of a stochastic
{A}nderson model with continuous space parameter},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {62},
year = {1998},
number = {3-4},
pages = {251--273},
issn = {1045-1129},
mrclass = {60H15 (35R60 60G17)},
mrnumber = {1615092},
doi = {10.1080/17442509808834135},
url = {https://doi.org/10.1080/17442509808834135}
}
@Article{ carmona:82:exponential,
author = {Carmona, Ren\'{e}},
title = {Exponential localization in one-dimensional disordered
systems},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {49},
year = {1982},
number = {1},
pages = {191--213},
issn = {0012-7094},
mrclass = {82A57 (34B25 58F30 60H99 82A42)},
mrnumber = {650377},
url = {http://projecteuclid.org/euclid.dmj/1077315080}
}
@InCollection{ carrillo.choi.ea:14:derivation,
author = {Carrillo, Jos\'{e} Antonio and Choi, Young-Pil and Hauray,
Maxime},
title = {The derivation of swarming models: mean-field limit and
{W}asserstein distances},
booktitle = {Collective dynamics from bacteria to crowds},
series = {CISM Courses and Lect.},
volume = {553},
pages = {1--46},
publisher = {Springer, Vienna},
year = {2014},
mrclass = {82C22 (35Q82)},
mrnumber = {3331178},
mrreviewer = {Keivan Aghababaei Samani},
doi = {10.1007/978-3-7091-1785-9\_1},
url = {https://doi.org/10.1007/978-3-7091-1785-9_1}
}
@Article{ carrillo.hittmeir.ea:12:cross,
author = {Carrillo, Jos\'{e} Antonio and Hittmeir, Sabine and
J\"{u}ngel, Ansgar},
title = {Cross diffusion and nonlinear diffusion preventing blow up
in the {K}eller-{S}egel model},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {22},
year = {2012},
number = {12},
pages = {1250041, 35},
issn = {0218-2025},
mrclass = {35K55 (35B44 35K65 92C17)},
mrnumber = {2990575},
mrreviewer = {Youshan Tao},
doi = {10.1142/S0218202512500418},
url = {https://doi.org/10.1142/S0218202512500418}
}
@Article{ carrillo.huang.ea:15:exponential,
author = {Carrillo, J. A. and Huang, Y. and Santos, M. C. and
V\'{a}zquez, J. L.},
title = {Exponential convergence towards stationary states for the
1{D} porous medium equation with fractional pressure},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {258},
year = {2015},
number = {3},
pages = {736--763},
issn = {0022-0396},
mrclass = {35K59 (26A33 35K65 35R11 74F10 76S05)},
mrnumber = {3279352},
mrreviewer = {Kai Diethelm},
doi = {10.1016/j.jde.2014.10.003},
url = {https://doi.org/10.1016/j.jde.2014.10.003}
}
@Article{ carrillo.mccann.ea:06:contractions,
author = {Carrillo, Jos\'{e} A. and McCann, Robert J. and Villani,
C\'{e}dric},
title = {Contractions in the 2-{W}asserstein length space and
thermalization of granular media},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {179},
year = {2006},
number = {2},
pages = {217--263},
issn = {0003-9527},
mrclass = {76M30 (35K57 58E50 76T25 82C40)},
mrnumber = {2209130},
mrreviewer = {Beno\^{i}t P. Desjardins},
doi = {10.1007/s00205-005-0386-1},
url = {https://doi.org/10.1007/s00205-005-0386-1}
}
@Article{ caruana.friz.ea:11:rough,
author = {Caruana, Michael and Friz, Peter K. and Oberhauser,
Harald},
title = {A (rough) pathwise approach to a class of non-linear
stochastic partial differential equations},
journal = {Ann. Inst. H. Poincar\'{e} Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Analyse Non
Lin\'{e}aire},
volume = {28},
year = {2011},
number = {1},
pages = {27--46},
issn = {0294-1449},
mrclass = {60H15 (35K55 35R60 60G17)},
mrnumber = {2765508},
mrreviewer = {Hendrik Weber},
doi = {10.1016/j.anihpc.2010.11.002},
url = {https://doi.org/10.1016/j.anihpc.2010.11.002}
}
@Article{ caruana.friz:09:partial,
author = {Caruana, Michael and Friz, Peter},
title = {Partial differential equations driven by rough paths},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {247},
year = {2009},
number = {1},
pages = {140--173},
issn = {0022-0396},
mrclass = {60H15 (35R60)},
mrnumber = {2510132},
mrreviewer = {Alp O. Eden},
doi = {10.1016/j.jde.2009.01.026},
url = {https://doi.org/10.1016/j.jde.2009.01.026}
}
@Article{ carvalho-bezerra.tindel:07:on,
author = {de Carvalho Bezerra, S\'{e}rgio and Tindel, Samy},
title = {On the multiple overlap function of the {SK} model},
journal = {Publ. Mat.},
fjournal = {Publicacions Matem\`atiques},
volume = {51},
year = {2007},
number = {1},
pages = {163--199},
issn = {0214-1493},
mrclass = {82B44 (60F05 60K40 82D30)},
mrnumber = {2307151},
mrreviewer = {Nicoletta Cancrini},
doi = {10.5565/PUBLMAT\_51107\_08},
url = {https://doi.org/10.5565/PUBLMAT_51107_08}
}
@Article{ carvalho-neto.planas:15:mild,
author = {de Carvalho-Neto, Paulo Mendes and Planas, Gabriela},
title = {Mild solutions to the time fractional {N}avier-{S}tokes
equations in {$\Bbb{R}^N$}},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {259},
year = {2015},
number = {7},
pages = {2948--2980},
issn = {0022-0396},
mrclass = {35R11 (33E12 35B40 35B65 35Q30 47H10)},
mrnumber = {3360662},
mrreviewer = {Hermenegildo Borges de Oliveira},
doi = {10.1016/j.jde.2015.04.008},
url = {https://doi.org/10.1016/j.jde.2015.04.008}
}
@Article{ cass.hairer.ea:15:smoothness,
author = {Cass, Thomas and Hairer, Martin and Litterer, Christian
and Tindel, Samy},
title = {Smoothness of the density for solutions to {G}aussian
rough differential equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {1},
pages = {188--239},
issn = {0091-1798},
mrclass = {60H07 (60G15 60H10)},
mrnumber = {3298472},
mrreviewer = {Keisuke Hara},
doi = {10.1214/13-AOP896},
url = {https://doi.org/10.1214/13-AOP896}
}
@Article{ cass.litterer.ea:13:integrability,
author = {Cass, Thomas and Litterer, Christian and Lyons, Terry},
title = {Integrability and tail estimates for {G}aussian rough
differential equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {4},
pages = {3026--3050},
issn = {0091-1798},
mrclass = {60H10 (60G15 60G17)},
mrnumber = {3112937},
mrreviewer = {Antoine J. Lejay},
doi = {10.1214/12-AOP821},
url = {https://doi.org/10.1214/12-AOP821}
}
@Article{ catellier.chouk:18:paracontrolled,
author = {Catellier, R\'{e}mi and Chouk, Khalil},
title = {Paracontrolled distributions and the 3-dimensional
stochastic quantization equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {46},
year = {2018},
number = {5},
pages = {2621--2679},
issn = {0091-1798},
mrclass = {60H15 (35K15 35R60 42B25 60H40)},
mrnumber = {3846835},
mrreviewer = {Dora Sele\v{s}i},
doi = {10.1214/17-AOP1235},
url = {https://doi.org/10.1214/17-AOP1235}
}
@Article{ cator.groeneboom:06:second,
author = {Cator, Eric and Groeneboom, Piet},
title = {Second class particles and cube root asymptotics for
{H}ammersley's process},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {4},
pages = {1273--1295},
issn = {0091-1798},
mrclass = {60C05 (60F05 60K35)},
mrnumber = {2257647},
mrreviewer = {Martin M\"{o}hle},
doi = {10.1214/009117906000000089},
url = {https://doi.org/10.1214/009117906000000089}
}
@Article{ cator.pimentel:11:shape,
author = {Cator, Eric and Pimentel, Leandro P. R.},
title = {A shape theorem and semi-infinite geodesics for the
{H}ammersley model with random weights},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {8},
year = {2011},
pages = {163--175},
issn = {1980-0436},
mrclass = {60K35 (60F99)},
mrnumber = {2783936},
mrreviewer = {B.\ M.\ Gurevich}
}
@Article{ cator.pimentel:12:busemann,
author = {Cator, Eric and Pimentel, Leandro P. R.},
title = {Busemann functions and equilibrium measures in last
passage percolation models},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {154},
year = {2012},
number = {1-2},
pages = {89--125},
issn = {0178-8051,1432-2064},
mrclass = {60K35 (60F05)},
mrnumber = {2981418},
mrreviewer = {Pablo\ Mart\'in\ Rodr\'iguez},
doi = {10.1007/s00440-011-0363-6},
url = {https://doi.org/10.1007/s00440-011-0363-6}
}
@Article{ cator.pimentel:13:busemann,
author = {Cator, Eric and Pimentel, Leandro P. R.},
title = {Busemann functions and the speed of a second class
particle in the rarefaction fan},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {4},
pages = {2401--2425},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (82C21)},
mrnumber = {3112921},
mrreviewer = {Tertuliano\ Franco},
doi = {10.1214/11-AOP709},
url = {https://doi.org/10.1214/11-AOP709}
}
@Article{ cator.pimentel:15:on,
author = {Cator, Eric and Pimentel, Leandro P. R.},
title = {On the local fluctuations of last-passage percolation
models},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {2},
pages = {538--551},
issn = {0304-4149,1879-209X},
mrclass = {60K35},
mrnumber = {3293293},
mrreviewer = {Maria\ E.\ Vares},
doi = {10.1016/j.spa.2014.08.009},
url = {https://doi.org/10.1016/j.spa.2014.08.009}
}
@Article{ cattiaux.gozlan.ea:10:functional,
author = {Cattiaux, Patrick and Gozlan, Nathael and Guillin, Arnaud
and Roberto, Cyril},
title = {Functional inequalities for heavy tailed distributions and
application to isoperimetry},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {15},
year = {2010},
pages = {no. 13, 346--385},
mrclass = {60E15 (26D10)},
mrnumber = {2609591},
doi = {10.1214/EJP.v15-754},
url = {https://doi.org/10.1214/EJP.v15-754}
}
@Article{ cattiaux.guillin.ea:10:note,
author = {Cattiaux, Patrick and Guillin, Arnaud and Wu, Li-Ming},
title = {A note on {T}alagrand's transportation inequality and
logarithmic {S}obolev inequality},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {148},
year = {2010},
number = {1-2},
pages = {285--304},
issn = {0178-8051},
mrclass = {60E15 (26D10 47D07 60J45 60J60)},
mrnumber = {2653230},
mrreviewer = {Gustavo Posta},
doi = {10.1007/s00440-009-0231-9},
url = {https://doi.org/10.1007/s00440-009-0231-9}
}
@Article{ cattiaux.guillin:06:on,
author = {Cattiaux, Patrick and Guillin, Arnaud},
title = {On quadratic transportation cost inequalities},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {86},
year = {2006},
number = {4},
pages = {341--361},
issn = {0021-7824},
mrclass = {47D07 (47N30 60E15 60G10)},
mrnumber = {2257848},
mrreviewer = {Feng-Yu Wang},
doi = {10.1016/j.matpur.2006.06.003},
url = {https://doi.org/10.1016/j.matpur.2006.06.003}
}
@InCollection{ cattiaux.guillin:14:semi,
author = {Cattiaux, P. and Guillin, A.},
title = {Semi log-concave {M}arkov diffusions},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s {XLVI}},
series = {Lecture Notes in Math.},
volume = {2123},
pages = {231--292},
publisher = {Springer, Cham},
year = {2014},
mrclass = {60J60 (26D10 35K55 35R60 39B62 47D07)},
mrnumber = {3330820},
mrreviewer = {Ivan Gentil},
doi = {10.1007/978-3-319-11970-0\_9},
url = {https://doi.org/10.1007/978-3-319-11970-0_9}
}
@Article{ cazenave.lions:82:orbital,
author = {Cazenave, T. and Lions, P.-L.},
title = {Orbital stability of standing waves for some nonlinear
{S}chr\"{o}dinger equations},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {85},
year = {1982},
number = {4},
pages = {549--561},
issn = {0010-3616},
mrclass = {81C05 (35Q20 78A60 81G99)},
mrnumber = {677997},
url = {http://projecteuclid.org/euclid.cmp/1103921547}
}
@Article{ celledoni.cohen.ea:08:symmetric,
author = {Celledoni, Elena and Cohen, David and Owren, Brynjulf},
title = {Symmetric exponential integrators with an application to
the cubic {S}chr\"odinger equation},
journal = {Found. Comput. Math.},
fjournal = {Foundations of Computational Mathematics. The Journal of
the Society for the Foundations of Computational
Mathematics},
volume = {8},
year = {2008},
number = {3},
pages = {303--317},
issn = {1615-3375,1615-3383},
mrclass = {65P10 (35Q55)},
mrnumber = {2413146},
mrreviewer = {Yuri\ B.\ Suris},
doi = {10.1007/s10208-007-9016-7},
url = {https://doi.org/10.1007/s10208-007-9016-7}
}
@Book{ celledoni.di-nunno.ea:18:computation,
title = {Computation and combinatorics in dynamics, stochastics and
control},
series = {Abel Symposia},
volume = {13},
author = {Celledoni, Elena and Di Nunno, Giulia and Ebrahimi-Fard,
Kurusch and Munthe-Kaas, Hans Zanna},
note = {The Abel Symposium, Rosendal, Norway, August 2016},
publisher = {Springer, Cham},
year = {2018},
pages = {xi+737},
isbn = {978-3-030-01592-3; 978-3-030-01593-0},
mrclass = {00B25 (16T05 60Hxx 93C10)},
mrnumber = {3966458},
doi = {10.1007/978-3-030-01593-0},
url = {https://doi.org/10.1007/978-3-030-01593-0}
}
@Article{ cenesiz.kurt.ea:17:stochastic,
author = {\c{C}enesiz, Y\"{u}cel and Kurt, Ali and Nane, Erkan},
title = {Stochastic solutions of conformable fractional {C}auchy
problems},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {124},
year = {2017},
pages = {126--131},
issn = {0167-7152},
mrclass = {35R11 (26A33 35R60 60G22 60G51 60H30)},
mrnumber = {3608222},
doi = {10.1016/j.spl.2017.01.012},
url = {https://doi.org/10.1016/j.spl.2017.01.012}
}
@Article{ cercle.rhodes.ea:23:probabilistic,
author = {Cercl\'e, Baptiste and Rhodes, R\'emi and Vargas, Vincent},
title = {Probabilistic construction of {T}oda conformal field
theories},
journal = {Ann. H. Lebesgue},
fjournal = {Annales Henri Lebesgue},
volume = {6},
year = {2023},
pages = {31--64},
issn = {2644-9463},
mrclass = {60D05 (17B20 17B68 81T40)},
mrnumber = {4593603},
mrreviewer = {H\'el\`ene\ Airault},
doi = {10.5802/ahl.158},
url = {https://doi.org/10.5802/ahl.158}
}
@InCollection{ cerny.klimovsky:20:markovian,
author = {\v Cern\'y, Ji\v r\'i{} and Klimovsky, Anton},
title = {Markovian dynamics of exchangeable arrays},
booktitle = {Genealogies of interacting particle systems},
series = {Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap.},
volume = {38},
pages = {209--228},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {[2020] \copyright 2020},
isbn = {978-981-120-608-5},
mrclass = {60J25 (60G09)},
mrnumber = {4448158}
}
@InCollection{ cerrai.clement:01:on,
author = {Cerrai, Sandra and Cl\'{e}ment, Philippe},
title = {On a class of degenerate elliptic operators arising from
{F}leming-{V}iot processes},
note = {Dedicated to Ralph S. Phillips},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {1},
year = {2001},
number = {3},
pages = {243--276},
issn = {1424-3199},
mrclass = {60J35 (35J70 35R60 60K35 92D15)},
mrnumber = {1861222},
mrreviewer = {Tu Sheng Zhang},
doi = {10.1007/PL00001370},
url = {https://doi.org/10.1007/PL00001370}
}
@Article{ cerrai.clement:03:schauder,
author = {Cerrai, Sandra and Cl\'{e}ment, Philippe},
title = {Schauder estimates for a class of second order elliptic
operators on a cube},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {127},
year = {2003},
number = {8},
pages = {669--688},
issn = {0007-4497},
mrclass = {35J25 (35B45 35B65 46N20 60J60 60J70 92D10)},
mrnumber = {2014753},
mrreviewer = {Sergey Nikolaevich Alekseenko},
doi = {10.1016/S0007-4497(03)00058-7},
url = {https://doi.org/10.1016/S0007-4497(03)00058-7}
}
@Article{ cerrai.clement:04:well-posedness,
author = {Cerrai, Sandra and Cl\'{e}ment, Philippe},
title = {Well-posedness of the martingale problem for some
degenerate diffusion processes occurring in dynamics of
populations},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {128},
year = {2004},
number = {5},
pages = {355--389},
issn = {0007-4497},
mrclass = {60J70 (35B30 35J70 47D07)},
mrnumber = {2066345},
mrreviewer = {G\"{o}tz Kersting},
doi = {10.1016/j.bulsci.2004.03.004},
url = {https://doi.org/10.1016/j.bulsci.2004.03.004}
}
@Article{ cerrai.clement:05:corrigendum,
author = {Cerrai, Sandra and Cl\'{e}ment, Philippe},
title = {Corrigendum to: ``{S}chauder estimates for a class of
second order elliptic operators on a cube'' [{B}ull. {S}ci.
{M}ath. {\bf 127} (2003), no. 8, 669--688; MR2014753]},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {129},
year = {2005},
number = {4},
pages = {368},
issn = {0007-4497},
mrclass = {35J25 (35B45 35B65)},
mrnumber = {2134127},
doi = {10.1016/j.bulsci.2004.11.006},
url = {https://doi.org/10.1016/j.bulsci.2004.11.006}
}
@Article{ cerrai.clement:07:schauder,
author = {Cerrai, Sandra and Cl\'{e}ment, Philippe},
title = {Schauder estimates for a degenerate second order elliptic
operator on a cube},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {242},
year = {2007},
number = {2},
pages = {287--321},
issn = {0022-0396},
mrclass = {35J70 (35B45)},
mrnumber = {2363317},
doi = {10.1016/j.jde.2007.08.002},
url = {https://doi.org/10.1016/j.jde.2007.08.002}
}
@Article{ cerrai.da-prato.ea:13:pathwise,
author = {Cerrai, Sandra and Da Prato, Giuseppe and Flandoli,
Franco},
title = {Pathwise uniqueness for stochastic reaction-diffusion
equations in {B}anach spaces with an {H}\"{o}lder drift
component},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {1},
year = {2013},
number = {3},
pages = {507--551},
issn = {2194-0401},
mrclass = {60H15 (35A02 35R60)},
mrnumber = {3327515},
mrreviewer = {Anna Talarczyk},
doi = {10.1007/s40072-013-0016-0},
url = {https://doi.org/10.1007/s40072-013-0016-0}
}
@Article{ cerrai.da-prato:12:schauder,
author = {Cerrai, Sandra and Da Prato, Giuseppe},
title = {Schauder estimates for elliptic equations in {B}anach
spaces associated with stochastic reaction-diffusion
equations},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {12},
year = {2012},
number = {1},
pages = {83--98},
issn = {1424-3199},
mrclass = {60H15 (35B45 35R60)},
mrnumber = {2891202},
mrreviewer = {Mamadou Sango},
doi = {10.1007/s00028-011-0124-0},
url = {https://doi.org/10.1007/s00028-011-0124-0}
}
@Article{ cerrai.da-prato:14:basic,
author = {Cerrai, Sandra and Da Prato, Giuseppe},
title = {A basic identity for {K}olmogorov operators in the space
of continuous functions related to {RDE}s with
multiplicative noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {4},
pages = {1297--1336},
issn = {0091-1798},
mrclass = {60H15 (35K57 35R60)},
mrnumber = {3262479},
mrreviewer = {Vassili N. Kolokol{\cprime}tsov},
doi = {10.1214/13-AOP853},
url = {https://doi.org/10.1214/13-AOP853}
}
@Article{ cerrai.debussche:19:large,
author = {Cerrai, Sandra and Debussche, Arnaud},
title = {Large deviations for the dynamic {$\Phi^{2n}_d$} model},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {80},
year = {2019},
number = {1},
pages = {81--102},
issn = {0095-4616},
mrclass = {35R60 (35B25 35K57)},
mrnumber = {3978511},
mrreviewer = {Jamil Abreu},
doi = {10.1007/s00245-017-9459-4},
url = {https://doi.org/10.1007/s00245-017-9459-4}
}
@Article{ cerrai.debussche:19:large*1,
author = {Cerrai, Sandra and Debussche, Arnaud},
title = {Large deviations for the two-dimensional stochastic
{N}avier-{S}tokes equation with vanishing noise
correlation},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {55},
year = {2019},
number = {1},
pages = {211--236},
issn = {0246-0203},
mrclass = {60H15 (35Q30 35R60 60F10)},
mrnumber = {3901646},
mrreviewer = {Thomas Kelly Alberts},
doi = {10.1214/17-aihp881},
url = {https://doi.org/10.1214/17-aihp881}
}
@Article{ cerrai.freidlin.ea:17:on,
author = {Cerrai, Sandra and Freidlin, Mark and Salins, Michael},
title = {On the {S}moluchowski-{K}ramers approximation for {SPDE}s
and its interplay with large deviations and long time
behavior},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {37},
year = {2017},
number = {1},
pages = {33--76},
issn = {1078-0947},
mrclass = {60H15 (35B40 35K57 35K58 35L71 35R60 49J45 60F10)},
mrnumber = {3583470},
mrreviewer = {Chiranjib Mukherjee},
doi = {10.3934/dcds.2017003},
url = {https://doi.org/10.3934/dcds.2017003}
}
@Article{ cerrai.freidlin:06:on,
author = {Cerrai, Sandra and Freidlin, Mark},
title = {On the {S}moluchowski-{K}ramers approximation for a system
with an infinite number of degrees of freedom},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {135},
year = {2006},
number = {3},
pages = {363--394},
issn = {0178-8051},
mrclass = {60H15 (35K20 35R60)},
mrnumber = {2240691},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1007/s00440-005-0465-0},
url = {https://doi.org/10.1007/s00440-005-0465-0}
}
@Article{ cerrai.freidlin:06:smoluchowski-kramers,
author = {Cerrai, Sandra and Freidlin, Mark},
title = {Smoluchowski-{K}ramers approximation for a general class
of {SPDE}s},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {6},
year = {2006},
number = {4},
pages = {657--689},
issn = {1424-3199},
mrclass = {60H35 (35R60 60H15)},
mrnumber = {2267703},
mrreviewer = {Fran\c{c}ois Delarue},
doi = {10.1007/s00028-006-0281-8},
url = {https://doi.org/10.1007/s00028-006-0281-8}
}
@Article{ cerrai.freidlin:09:averaging,
author = {Cerrai, Sandra and Freidlin, Mark},
title = {Averaging principle for a class of stochastic
reaction-diffusion equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {144},
year = {2009},
number = {1-2},
pages = {137--177},
issn = {0178-8051},
mrclass = {60F99 (35K57 35R60 37H10 37J40 60H15 70K65 70K70)},
mrnumber = {2480788},
mrreviewer = {Mar\'{i}a J. Garrido-Atienza},
doi = {10.1007/s00440-008-0144-z},
url = {https://doi.org/10.1007/s00440-008-0144-z}
}
@Article{ cerrai.freidlin:11:approximation,
author = {Cerrai, Sandra and Freidlin, Mark},
title = {Approximation of quasi-potentials and exit problems for
multidimensional {RDE}'s with noise},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {363},
year = {2011},
number = {7},
pages = {3853--3892},
issn = {0002-9947},
mrclass = {60H15 (35K57 35R60 49J45 60F10)},
mrnumber = {2775830},
mrreviewer = {Pedro Mar\'{i}n Rubio},
doi = {10.1090/S0002-9947-2011-05352-3},
url = {https://doi.org/10.1090/S0002-9947-2011-05352-3}
}
@Article{ cerrai.freidlin:11:fast,
author = {Cerrai, Sandra and Freidlin, Mark},
title = {Fast transport asymptotics for stochastic {RDE}s with
boundary noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {39},
year = {2011},
number = {1},
pages = {369--405},
issn = {0091-1798},
mrclass = {60H15 (35R60 60F99)},
mrnumber = {2778806},
mrreviewer = {Hendrik Weber},
doi = {10.1214/10-AOP552},
url = {https://doi.org/10.1214/10-AOP552}
}
@Article{ cerrai.freidlin:11:small,
author = {Cerrai, Sandra and Freidlin, Mark},
title = {Small mass asymptotics for a charged particle in a
magnetic field and long-time influence of small
perturbations},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {144},
year = {2011},
number = {1},
pages = {101--123},
issn = {0022-4715},
mrclass = {82C31 (60H30)},
mrnumber = {2820037},
mrreviewer = {Mar\'{i}a J. Garrido-Atienza},
doi = {10.1007/s10955-011-0238-3},
url = {https://doi.org/10.1007/s10955-011-0238-3}
}
@Article{ cerrai.freidlin:15:large,
author = {Cerrai, Sandra and Freidlin, Mark},
title = {Large deviations for the {L}angevin equation with strong
damping},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {161},
year = {2015},
number = {4},
pages = {859--875},
issn = {0022-4715},
mrclass = {82C31},
mrnumber = {3413636},
mrreviewer = {Horacio Grinberg},
doi = {10.1007/s10955-015-1346-2},
url = {https://doi.org/10.1007/s10955-015-1346-2}
}
@Article{ cerrai.freidlin:17:spdes,
author = {Cerrai, Sandra and Freidlin, Mark},
title = {S{PDE}s on narrow domains and on graphs: an asymptotic
approach},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {53},
year = {2017},
number = {2},
pages = {865--899},
issn = {0246-0203},
mrclass = {60H15 (35R02 35R60 70K65)},
mrnumber = {3634278},
mrreviewer = {Robert C. Dalang},
doi = {10.1214/16-AIHP740},
url = {https://doi.org/10.1214/16-AIHP740}
}
@Article{ cerrai.freidlin:19:fast,
author = {Cerrai, Sandra and Freidlin, Mark},
title = {Fast flow asymptotics for stochastic incompressible
viscous fluids in {$\Bbb{R}^2$} and {SPDE}s on graphs},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {173},
year = {2019},
number = {1-2},
pages = {491--535},
issn = {0178-8051},
mrclass = {60H15 (60J25 70K65)},
mrnumber = {3916113},
mrreviewer = {Vassili N. Kolokol{\cprime}tsov},
doi = {10.1007/s00440-018-0839-8},
url = {https://doi.org/10.1007/s00440-018-0839-8}
}
@Article{ cerrai.glatt-holtz:20:on,
author = {Cerrai, Sandra and Glatt-Holtz, Nathan},
title = {On the convergence of stationary solutions in the
{S}moluchowski-{K}ramers approximation of infinite
dimensional systems},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {278},
year = {2020},
number = {8},
pages = {108421, 38},
issn = {0022-1236},
mrclass = {60H15 (35L20 35R60 47D06 60B10)},
mrnumber = {4056993},
mrreviewer = {Giovanni Zanco},
doi = {10.1016/j.jfa.2019.108421},
url = {https://doi.org/10.1016/j.jfa.2019.108421}
}
@Article{ cerrai.gozzi:95:strong,
author = {Cerrai, Sandra and Gozzi, Fausto},
title = {Strong solutions of {C}auchy problems associated to weakly
continuous semigroups},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {8},
year = {1995},
number = {3},
pages = {465--486},
issn = {0893-4983},
mrclass = {34G10 (35R15 47D06 47N20)},
mrnumber = {1306569},
mrreviewer = {Piermarco Cannarsa}
}
@Article{ cerrai.lunardi:17:averaging,
author = {Cerrai, Sandra and Lunardi, Alessandra},
title = {Averaging principle for nonautonomous slow-fast systems of
stochastic reaction-diffusion equations: the almost
periodic case},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {49},
year = {2017},
number = {4},
pages = {2843--2884},
issn = {0036-1410},
mrclass = {60H15 (34K33 35B15 35K57 35R60 37A25 37L40)},
mrnumber = {3679916},
mrreviewer = {Markus Kunze},
doi = {10.1137/16M1063307},
url = {https://doi.org/10.1137/16M1063307}
}
@Article{ cerrai.lunardi:19:schauder,
author = {Cerrai, Sandra and Lunardi, Alessandra},
title = {Schauder theorems for {O}rnstein-{U}hlenbeck equations in
infinite dimension},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {267},
year = {2019},
number = {12},
pages = {7462--7482},
issn = {0022-0396},
mrclass = {35R20 (47D07 60J35)},
mrnumber = {4011050},
mrreviewer = {Matthew A. Fury},
doi = {10.1016/j.jde.2019.08.005},
url = {https://doi.org/10.1016/j.jde.2019.08.005}
}
@Article{ cerrai.paskal:19:large,
author = {Cerrai, Sandra and Paskal, Nicholas},
title = {Large deviations for fast transport stochastic {RDE}s with
applications to the exit problem},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {29},
year = {2019},
number = {4},
pages = {1993--2032},
issn = {1050-5164},
mrclass = {60H15 (60F10 70K65)},
mrnumber = {3983334},
mrreviewer = {Anamaria Savu},
doi = {10.1214/18-AAP1439},
url = {https://doi.org/10.1214/18-AAP1439}
}
@Article{ cerrai.rockner:03:large,
author = {Cerrai, Sandra and R\"{o}ckner, Michael},
title = {Large deviations for invariant measures of general
stochastic reaction-diffusion systems},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {337},
year = {2003},
number = {9},
pages = {597--602},
issn = {1631-073X},
mrclass = {60F10 (35K57 35R60)},
mrnumber = {2017733},
doi = {10.1016/j.crma.2003.09.015},
url = {https://doi.org/10.1016/j.crma.2003.09.015}
}
@Article{ cerrai.rockner:04:large,
author = {Cerrai, Sandra and R\"{o}ckner, Michael},
title = {Large deviations for stochastic reaction-diffusion systems
with multiplicative noise and non-{L}ipschitz reaction
term},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {1B},
pages = {1100--1139},
issn = {0091-1798},
mrclass = {60F10 (60H15)},
mrnumber = {2044675},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1214/aop/1079021473},
url = {https://doi.org/10.1214/aop/1079021473}
}
@Article{ cerrai.rockner:05:large,
author = {Cerrai, Sandra and R\"{o}ckner, Michael},
title = {Large deviations for invariant measures of stochastic
reaction-diffusion systems with multiplicative noise and
non-{L}ipschitz reaction term},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {41},
year = {2005},
number = {1},
pages = {69--105},
issn = {0246-0203},
mrclass = {60F10 (35K57 35R60 60H15)},
mrnumber = {2110447},
mrreviewer = {Carles Rovira},
doi = {10.1016/j.anihpb.2004.03.001},
url = {https://doi.org/10.1016/j.anihpb.2004.03.001}
}
@Article{ cerrai.salins:14:smoluchowski-kramers,
author = {Cerrai, Sandra and Salins, Michael},
title = {Smoluchowski-{K}ramers approximation and large deviations
for infinite dimensional gradient systems},
journal = {Asymptot. Anal.},
fjournal = {Asymptotic Analysis},
volume = {88},
year = {2014},
number = {4},
pages = {201--215},
issn = {0921-7134},
mrclass = {35R60 (35B25 35K20 35K59 35L20 35L71 60F10 60H15)},
mrnumber = {3245077},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.3233/asy-141220},
url = {https://doi.org/10.3233/asy-141220}
}
@Article{ cerrai.salins:16:smoluchowski-kramers,
author = {Cerrai, Sandra and Salins, Michael},
title = {Smoluchowski-{K}ramers approximation and large deviations
for infinite-dimensional nongradient systems with
applications to the exit problem},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {4},
pages = {2591--2642},
issn = {0091-1798},
mrclass = {60H15 (35L71 35R60 49J45 60F10)},
mrnumber = {3531676},
mrreviewer = {Charles-Edouard Br\'{e}hier},
doi = {10.1214/15-AOP1029},
url = {https://doi.org/10.1214/15-AOP1029}
}
@Article{ cerrai.salins:17:on,
author = {Cerrai, Sandra and Salins, Michael},
title = {On the {S}moluchowski-{K}ramers approximation for a system
with infinite degrees of freedom exposed to a magnetic
field},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {1},
pages = {273--303},
issn = {0304-4149},
mrclass = {60H15 (35Q60 35R60 78A25 82D40)},
mrnumber = {3575542},
doi = {10.1016/j.spa.2016.06.008},
url = {https://doi.org/10.1016/j.spa.2016.06.008}
}
@Article{ cerrai.wehr.ea:20:averaging,
author = {Cerrai, Sandra and Wehr, Jan and Zhu, Yichun},
title = {An averaging approach to the {S}moluchowski-{K}ramers
approximation in the presence of a varying magnetic field},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {181},
year = {2020},
number = {1},
pages = {132--148},
issn = {0022-4715},
mrclass = {60H30 (34C29 35R02 78A35)},
mrnumber = {4142946},
mrreviewer = {Juan Yang},
doi = {10.1007/s10955-020-02570-8},
url = {https://doi.org/10.1007/s10955-020-02570-8}
}
@Article{ cerrai.xi:21:incompressible,
author = {Cerrai, Sandra and Xi, Guangyu},
title = {Incompressible viscous fluids in {$\Bbb R^2$} and {SPDE}s
on graphs, in presence of fast advection and non smooth
noise},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {57},
year = {2021},
number = {3},
pages = {1636--1664},
issn = {0246-0203},
mrclass = {60H15 (60J25 70K65)},
mrnumber = {4291448},
doi = {10.1214/20-aihp1118},
url = {https://doi.org/10.1214/20-aihp1118}
}
@Article{ cerrai.xi:22:smoluchowski-kramers,
author = {Cerrai, Sandra and Xi, Guangyu},
title = {A {S}moluchowski-{K}ramers approximation for an infinite
dimensional system with state-dependent damping},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {50},
year = {2022},
number = {3},
pages = {874--904},
issn = {0091-1798},
mrclass = {60H15 (35K57)},
mrnumber = {4413207},
mrreviewer = {Lihai Ji},
doi = {10.1214/21-aop1549},
url = {https://doi.org/10.1214/21-aop1549}
}
@Article{ cerrai:00:analytic,
author = {Cerrai, Sandra},
title = {Analytic semigroups and degenerate elliptic operators with
unbounded coefficients: a probabilistic approach},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {166},
year = {2000},
number = {1},
pages = {151--174},
issn = {0022-0396},
mrclass = {47D06 (35J70 60H15)},
mrnumber = {1779259},
mrreviewer = {Vitali A. Liskevich},
doi = {10.1006/jdeq.2000.3788},
url = {https://doi.org/10.1006/jdeq.2000.3788}
}
@InCollection{ cerrai:01:generalization,
author = {Cerrai, Sandra},
title = {A generalization of the {B}ismut-{E}lworthy formula},
booktitle = {Evolution equations and their applications in physical and
life sciences ({B}ad {H}errenalb, 1998)},
series = {Lecture Notes in Pure and Appl. Math.},
volume = {215},
pages = {473--482},
publisher = {Dekker, New York},
year = {2001},
mrclass = {60H10 (35R60 47N30)},
mrnumber = {1818025},
mrreviewer = {Xue-Mei Li}
}
@Article{ cerrai:01:optimal,
author = {Cerrai, Sandra},
title = {Optimal control problems for stochastic reaction-diffusion
systems with non-{L}ipschitz coefficients},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {39},
year = {2001},
number = {6},
pages = {1779--1816},
issn = {0363-0129},
mrclass = {93E20 (35B37 35R60 60H15 93C20)},
mrnumber = {1825865},
mrreviewer = {Vivek S. Borkar},
doi = {10.1137/S0363012999356465},
url = {https://doi.org/10.1137/S0363012999356465}
}
@Book{ cerrai:01:second,
author = {Cerrai, Sandra},
title = {Second order {PDE}'s in finite and infinite dimension},
series = {Lecture Notes in Mathematics},
volume = {1762},
note = {A probabilistic approach},
publisher = {Springer-Verlag, Berlin},
year = {2001},
pages = {x+330},
isbn = {3-540-42136-X},
mrclass = {35R60 (35K57 47H20 47N20 60H10 60H15 60J35)},
mrnumber = {1840644},
mrreviewer = {Krystyna Twardowska},
doi = {10.1007/b80743},
url = {https://doi.org/10.1007/b80743}
}
@Article{ cerrai:01:stationary,
author = {Cerrai, Sandra},
title = {Stationary {H}amilton-{J}acobi equations in {H}ilbert
spaces and applications to a stochastic optimal control
problem},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {40},
year = {2001},
number = {3},
pages = {824--852},
issn = {0363-0129},
mrclass = {49L20 (60H15 60H40 93E20)},
mrnumber = {1871456},
mrreviewer = {Vassili N. Kolokol{\cprime}tsov},
doi = {10.1137/S0363012999359949},
url = {https://doi.org/10.1137/S0363012999359949}
}
@InCollection{ cerrai:02:classical,
author = {Cerrai, S.},
title = {Classical solutions for {K}olmogorov equations in
{H}ilbert spaces},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications, {III} ({A}scona, 1999)},
series = {Progr. Probab.},
volume = {52},
pages = {55--71},
publisher = {Birkh\"{a}user, Basel},
year = {2002},
mrclass = {60H15 (34G10 35J15 35K57 47D07)},
mrnumber = {1958809},
mrreviewer = {B. G. Pachpatte}
}
@Article{ cerrai:03:stochastic,
author = {Cerrai, Sandra},
title = {Stochastic reaction-diffusion systems with multiplicative
noise and non-{L}ipschitz reaction term},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {125},
year = {2003},
number = {2},
pages = {271--304},
issn = {0178-8051},
mrclass = {60H15 (35K57 35R60 47N30)},
mrnumber = {1961346},
mrreviewer = {B. G. Pachpatte},
doi = {10.1007/s00440-002-0230-6},
url = {https://doi.org/10.1007/s00440-002-0230-6}
}
@Article{ cerrai:05:stabilization,
author = {Cerrai, Sandra},
title = {Stabilization by noise for a class of stochastic
reaction-diffusion equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {133},
year = {2005},
number = {2},
pages = {190--214},
issn = {0178-8051},
mrclass = {60H15 (35B35 35K57 35R60)},
mrnumber = {2198698},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1007/s00440-004-0421-4},
url = {https://doi.org/10.1007/s00440-004-0421-4}
}
@InCollection{ cerrai:06:asymptotic,
author = {Cerrai, Sandra},
title = {Asymptotic behavior of systems of stochastic partial
differential equations with multiplicative noise},
booktitle = {Stochastic partial differential equations and
applications---{VII}},
series = {Lect. Notes Pure Appl. Math.},
volume = {245},
pages = {61--75},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
mrclass = {60H15 (35K57 35Q35 35R60 37A25)},
mrnumber = {2227220},
mrreviewer = {Krystyna Twardowska},
doi = {10.1201/9781420028720.ch7},
url = {https://doi.org/10.1201/9781420028720.ch7}
}
@InCollection{ cerrai:06:ergodic,
author = {Cerrai, Sandra},
title = {Ergodic properties of reaction-diffusion equations
perturbed by a degenerate multiplicative noise},
booktitle = {Partial differential equations and functional analysis},
series = {Oper. Theory Adv. Appl.},
volume = {168},
pages = {45--59},
publisher = {Birkh\"{a}user, Basel},
year = {2006},
mrclass = {60H15 (35K57 35R60 37A25 37L40)},
mrnumber = {2240052},
mrreviewer = {Peter E. Kloeden},
doi = {10.1007/3-7643-7601-5\_3},
url = {https://doi.org/10.1007/3-7643-7601-5_3}
}
@Article{ cerrai:09:khasminskii,
author = {Cerrai, Sandra},
title = {A {K}hasminskii type averaging principle for stochastic
reaction-diffusion equations},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {19},
year = {2009},
number = {3},
pages = {899--948},
issn = {1050-5164},
mrclass = {60H15 (35R60 37L55)},
mrnumber = {2537194},
doi = {10.1214/08-AAP560},
url = {https://doi.org/10.1214/08-AAP560}
}
@Article{ cerrai:09:normal,
author = {Cerrai, Sandra},
title = {Normal deviations from the averaged motion for some
reaction-diffusion equations with fast oscillating
perturbation},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {91},
year = {2009},
number = {6},
pages = {614--647},
issn = {0021-7824},
mrclass = {60H10 (35K57 35R60 70K65)},
mrnumber = {2531558},
doi = {10.1016/j.matpur.2009.04.007},
url = {https://doi.org/10.1016/j.matpur.2009.04.007}
}
@Article{ cerrai:11:averaging,
author = {Cerrai, Sandra},
title = {Averaging principle for systems of reaction-diffusion
equations with polynomial nonlinearities perturbed by
multiplicative noise},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {43},
year = {2011},
number = {6},
pages = {2482--2518},
issn = {0036-1410},
mrclass = {60H15 (35K51 35K57 35R60 37L40)},
mrnumber = {2854919},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1137/100806710},
url = {https://doi.org/10.1137/100806710}
}
@Article{ cerrai:94:hille-yosida,
author = {Cerrai, Sandra},
title = {A {H}ille-{Y}osida theorem for weakly continuous
semigroups},
journal = {Semigroup Forum},
fjournal = {Semigroup Forum},
volume = {49},
year = {1994},
number = {3},
pages = {349--367},
issn = {0037-1912},
mrclass = {47D03 (47N20)},
mrnumber = {1293091},
mrreviewer = {S. Kantorovitz},
doi = {10.1007/BF02573496},
url = {https://doi.org/10.1007/BF02573496}
}
@Article{ cerrai:95:weakly,
author = {Cerrai, Sandra},
title = {Weakly continuous semigroups in the space of functions
with polynomial growth},
journal = {Dynam. Systems Appl.},
fjournal = {Dynamic Systems and Applications},
volume = {4},
year = {1995},
number = {3},
pages = {351--371},
issn = {1056-2176},
mrclass = {35R60 (35K10 47D07)},
mrnumber = {1348505},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka}
}
@Article{ cerrai:96:elliptic,
author = {Cerrai, Sandra},
title = {Elliptic and parabolic equations in {${\bf R}^n$} with
coefficients having polynomial growth},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {21},
year = {1996},
number = {1-2},
pages = {281--317},
issn = {0360-5302},
mrclass = {35J15 (35K10 35R60 47N20 60J35)},
mrnumber = {1373775},
mrreviewer = {Kazuaki Taira},
doi = {10.1080/03605309608821185},
url = {https://doi.org/10.1080/03605309608821185}
}
@Article{ cerrai:96:invariant,
author = {Cerrai, Sandra},
title = {Invariant measures for a class of {SDE}s with drift term
having polynomial growth},
journal = {Dynam. Systems Appl.},
fjournal = {Dynamic Systems and Applications},
volume = {5},
year = {1996},
number = {3},
pages = {353--370},
issn = {1056-2176},
mrclass = {60H10},
mrnumber = {1410393},
mrreviewer = {Bohdan Maslowski}
}
@Article{ cerrai:98:differentiability,
author = {Cerrai, Sandra},
title = {Differentiability with respect to initial datum for
solutions of {SPDE}'s with no {F}r\'{e}chet differentiable
drift term},
journal = {Commun. Appl. Anal.},
fjournal = {Communications in Applied Analysis. An International
Journal for Theory and Applications},
volume = {2},
year = {1998},
number = {2},
pages = {249--270},
issn = {1083-2564},
mrclass = {35R15 (35K99 35R60 47D06 60H15)},
mrnumber = {1614630},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka}
}
@Article{ cerrai:98:kolmogorov,
author = {Cerrai, Sandra},
title = {Kolmogorov equations in {H}ilbert spaces with nonsmooth
coefficients},
journal = {Commun. Appl. Anal.},
fjournal = {Communications in Applied Analysis. An International
Journal for Theory and Applications},
volume = {2},
year = {1998},
number = {2},
pages = {271--297},
issn = {1083-2564},
mrclass = {35R15 (35K99 35R60 47D06 60H15)},
mrnumber = {1614634},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka}
}
@Article{ cerrai:98:some,
author = {Cerrai, Sandra},
title = {Some results for second order elliptic operators having
unbounded coefficients},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {11},
year = {1998},
number = {4},
pages = {561--588},
issn = {0893-4983},
mrclass = {35J15 (35B40 35K10 35R60 47D06 60H10)},
mrnumber = {1666273},
mrreviewer = {Sergey V. Lototsky}
}
@Article{ cerrai:99:differentiability,
author = {Cerrai, Sandra},
title = {Differentiability of {M}arkov semigroups for stochastic
reaction-diffusion equations and applications to control},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {83},
year = {1999},
number = {1},
pages = {15--37},
issn = {0304-4149},
mrclass = {60H15 (35K57 35R60 47D07 93E20)},
mrnumber = {1705598},
mrreviewer = {Krystyna Twardowska},
doi = {10.1016/S0304-4149(99)00014-9},
url = {https://doi.org/10.1016/S0304-4149(99)00014-9}
}
@Article{ cerrai:99:ergodicity,
author = {Cerrai, Sandra},
title = {Ergodicity for stochastic reaction-diffusion systems with
polynomial coefficients},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {67},
year = {1999},
number = {1-2},
pages = {17--51},
issn = {1045-1129},
mrclass = {60H15 (47D07 60J35)},
mrnumber = {1717811}
}
@Article{ cerrai:99:smoothing,
author = {Cerrai, Sandra},
title = {Smoothing properties of transition semigroups relative to
{SDE}s with values in {B}anach spaces},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {113},
year = {1999},
number = {1},
pages = {85--114},
issn = {0178-8051},
mrclass = {60H15 (35R60 60J35)},
mrnumber = {1670729},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s004400050203},
url = {https://doi.org/10.1007/s004400050203}
}
@Article{ ceyhan.bahadi-r:17:nearest,
author = {Ceyhan, Elvan and Bahadi r, Selim},
title = {Nearest neighbor methods for testing reflexivity},
journal = {Environ. Ecol. Stat.},
fjournal = {Environmental and Ecological Statistics},
volume = {24},
year = {2017},
number = {1},
pages = {69--108},
issn = {1352-8505,1573-3009},
mrclass = {62H15 (62H17 62M30 62P12)},
mrnumber = {3612226},
doi = {10.1007/s10651-016-0361-z},
url = {https://doi.org/10.1007/s10651-016-0361-z}
}
@Article{ ceyhan.nishino.ea:17:analysis,
author = {Ceyhan, E. and Nishino, T. and Botteron, K. N. and Miller,
M. I. and Ratnanather, J. T.},
title = {Analysis of cortical morphometric variability using
labeled cortical distance maps},
journal = {Stat. Interface},
fjournal = {Statistics and its Interface},
volume = {10},
year = {2017},
number = {2},
pages = {313--341},
issn = {1938-7989,1938-7997},
mrclass = {62H35 (62-07 62F03 62P10)},
mrnumber = {3572113},
doi = {10.4310/SII.2017.v10.n2.a13},
url = {https://doi.org/10.4310/SII.2017.v10.n2.a13}
}
@Article{ ceyhan.wierman.ea:21:law,
author = {Ceyhan, Elvan and Wierman, John C. and Xiang, Pengfei},
title = {Law of large numbers for a two-dimensional class cover
problem},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {25},
year = {2021},
pages = {376--407},
issn = {1292-8100,1262-3318},
mrclass = {60G99 (05C69 62H30)},
mrnumber = {4291368},
doi = {10.1051/ps/2021013},
url = {https://doi.org/10.1051/ps/2021013}
}
@Article{ ceyhan:05:investigation,
title = {An Investigation of Proximity Catch Digraphs in {D}elaunay
Tessellations},
author = {Ceyhan, Elvan},
journal = {PhD Thesis, Johns Hopkins University},
year = {2005},
publisher = {Johns Hopkins University}
}
@Article{ ceyhan:11:spatial,
author = {Ceyhan, Elvan},
title = {Spatial clustering tests based on the domination number of
a new random digraph family},
journal = {Comm. Statist. Theory Methods},
fjournal = {Communications in Statistics. Theory and Methods},
volume = {40},
year = {2011},
number = {8},
pages = {1363--1395},
issn = {0361-0926,1532-415X},
mrclass = {62H30 (05C20 05C69 05C80 60D05 62G10 62G20 62H11)},
mrnumber = {2776238},
mrreviewer = {Antonio\ Cuevas},
doi = {10.1080/03610921003597211},
url = {https://doi.org/10.1080/03610921003597211}
}
@Article{ ceyhan:12:distribution,
author = {Ceyhan, Elvan},
title = {The distribution of the relative arc density of a family
of interval catch digraph based on uniform data},
journal = {Metrika},
fjournal = {Metrika. International Journal for Theoretical and Applied
Statistics},
volume = {75},
year = {2012},
number = {6},
pages = {761--793},
issn = {0026-1335,1435-926X},
mrclass = {62H10 (05C20 05C80 60C05 62E17 62H30)},
mrnumber = {2956275},
doi = {10.1007/s00184-011-0351-y},
url = {https://doi.org/10.1007/s00184-011-0351-y}
}
@Article{ ceyhan:12:investigation,
author = {Ceyhan, Elvan},
title = {An investigation of new graph invariants related to the
domination number of random proximity catch digraphs},
journal = {Methodol. Comput. Appl. Probab.},
fjournal = {Methodology and Computing in Applied Probability},
volume = {14},
year = {2012},
number = {2},
pages = {299--334},
issn = {1387-5841,1573-7713},
mrclass = {60D05 (05C80 60C05)},
mrnumber = {2912341},
mrreviewer = {Michele\ Zito},
doi = {10.1007/s11009-010-9204-9},
url = {https://doi.org/10.1007/s11009-010-9204-9}
}
@Article{ ceyhan:14:comparison,
author = {Ceyhan, Elvan},
title = {Comparison of relative density of two random geometric
digraph families in testing spatial clustering},
journal = {TEST},
fjournal = {TEST. An Official Journal of the Spanish Society of
Statistics and Operations Research},
volume = {23},
year = {2014},
number = {1},
pages = {100--134},
issn = {1133-0686,1863-8260},
mrclass = {60D05 (05C62 62G10 62M30)},
mrnumber = {3179619},
mrreviewer = {Christian\ Rau},
doi = {10.1007/s11749-013-0344-4},
url = {https://doi.org/10.1007/s11749-013-0344-4}
}
@Article{ ceyhan:14:segregation,
author = {Ceyhan, Elvan},
title = {Segregation indices for disease clustering},
journal = {Stat. Med.},
fjournal = {Statistics in Medicine},
volume = {33},
year = {2014},
number = {10},
pages = {1662--1684},
issn = {0277-6715,1097-0258},
mrclass = {99-01},
mrnumber = {3246687},
doi = {10.1002/sim.6053},
url = {https://doi.org/10.1002/sim.6053}
}
@Article{ ceyhan:16:density,
author = {Ceyhan, Elvan},
title = {Density of a random interval catch digraph family and its
use for testing uniformity},
journal = {REVSTAT},
fjournal = {REVSTAT Statistical Journal},
volume = {14},
year = {2016},
number = {4},
pages = {349--394},
issn = {1645-6726,2183-0371},
mrclass = {05C80 (05C20 05C90 60C05 60D05 62E20 62F03)},
mrnumber = {3572643}
}
@Article{ ceyhan:16:edge,
author = {Ceyhan, Elvan},
title = {Edge density of new graph types based on a random digraph
family},
journal = {Stat. Methodol.},
fjournal = {Statistical Methodology},
volume = {33},
year = {2016},
pages = {31--54},
issn = {1572-3127},
mrclass = {05C80 (05C20 60C05 60D05 60F05 62E20)},
mrnumber = {3582773},
mrreviewer = {Anant\ P.\ Godbole},
doi = {10.1016/j.stamet.2016.07.003},
url = {https://doi.org/10.1016/j.stamet.2016.07.003}
}
@Article{ ceyhan:17:cell-specific,
author = {Ceyhan, Elvan},
title = {Cell-specific and post-hoc spatial clustering tests based
on nearest neighbor contingency tables},
journal = {J. Korean Statist. Soc.},
fjournal = {Journal of the Korean Statistical Society},
volume = {46},
year = {2017},
number = {2},
pages = {219--245},
issn = {1226-3192,2005-2863},
mrclass = {62H11 (62H17)},
mrnumber = {3648361},
doi = {10.1016/j.jkss.2016.10.002},
url = {https://doi.org/10.1016/j.jkss.2016.10.002}
}
@Article{ ceyhan:18:contingency,
author = {Ceyhan, Elvan},
title = {A contingency table approach based on nearest neighbour
relations for testing self and mixed correspondence},
journal = {SORT},
fjournal = {SORT. Statistics and Operations Research Transactions},
volume = {42},
year = {2018},
number = {2},
pages = {125--157},
issn = {1696-2281,2013-8830},
mrclass = {62M30 (62G10 62H11 62H30 62P12)},
mrnumber = {3895974},
doi = {10.2436/20.8080.02.72},
url = {https://doi.org/10.2436/20.8080.02.72}
}
@Article{ ceyhan:20:domination,
author = {Ceyhan, Elvan},
title = {Domination number of an interval catch digraph family and
its use for testing uniformity},
journal = {Statistics},
fjournal = {Statistics. A Journal of Theoretical and Applied
Statistics},
volume = {54},
year = {2020},
number = {2},
pages = {310--339},
issn = {0233-1888,1029-4910},
mrclass = {05C80 (05C20 60C05 60D05 62E20)},
mrnumber = {4076247},
mrreviewer = {Lyuben\ R.\ Mutafchiev},
doi = {10.1080/02331888.2020.1720020},
url = {https://doi.org/10.1080/02331888.2020.1720020}
}
@Article{ chae.constantin.ea:12:generalized,
author = {Chae, Dongho and Constantin, Peter and C\'{o}rdoba, Diego
and Gancedo, Francisco and Wu, Jiahong},
title = {Generalized surface quasi-geostrophic equations with
singular velocities},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {65},
year = {2012},
number = {8},
pages = {1037--1066},
issn = {0010-3640},
mrclass = {35Q86 (35A01 35A02 35A09 35D30 86A04)},
mrnumber = {2928091},
mrreviewer = {Animikh Biswas},
doi = {10.1002/cpa.21390},
url = {https://doi.org/10.1002/cpa.21390}
}
@Article{ chafai.peche:14:note,
author = {Chafa\"i, Djalil and P\'ech\'e, Sandrine},
title = {A note on the second order universality at the edge of
{C}oulomb gases on the plane},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {156},
year = {2014},
number = {2},
pages = {368--383},
issn = {0022-4715,1572-9613},
mrclass = {82B21},
mrnumber = {3215627},
doi = {10.1007/s10955-014-1007-x},
url = {https://doi.org/10.1007/s10955-014-1007-x}
}
@Article{ chafee.infante:74:bifurcation,
author = {Chafee, N. and Infante, E. F.},
title = {A bifurcation problem for a nonlinear partial differential
equation of parabolic type},
journal = {Applicable Anal.},
fjournal = {Applicable Analysis. An International Journal},
volume = {4},
year = {1974/75},
pages = {17--37},
issn = {0003-6811},
mrclass = {35K60 (35B99)},
mrnumber = {440205},
doi = {10.1080/00036817408839081},
url = {https://doi.org/10.1080/00036817408839081}
}
@Article{ chakraborty.chen.ea:20:quenched,
author = {Chakraborty, Prakash and Chen, Xia and Gao, Bo and Tindel,
Samy},
title = {Quenched asymptotics for a 1-d stochastic heat equation
driven by a rough spatial noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {130},
year = {2020},
number = {11},
pages = {6689--6732},
issn = {0304-4149},
mrclass = {60H15 (60G15 60G22 60L20)},
mrnumber = {4158800},
mrreviewer = {Yaozhong Hu},
doi = {10.1016/j.spa.2020.06.007},
url = {https://doi.org/10.1016/j.spa.2020.06.007}
}
@Article{ chakraborty.tindel:19:rough,
author = {Chakraborty, Prakash and Tindel, Samy},
title = {Rough differential equations with power type
nonlinearities},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {129},
year = {2019},
number = {5},
pages = {1533--1555},
issn = {0304-4149},
mrclass = {60H10 (60H99)},
mrnumber = {3944775},
mrreviewer = {Khoa L\^{e}},
doi = {10.1016/j.spa.2018.05.010},
url = {https://doi.org/10.1016/j.spa.2018.05.010}
}
@Article{ chaleyat-maurel.nualart:92:onsager-machlup,
author = {Chaleyat-Maurel, Mireille and Nualart, David},
title = {The {O}nsager-{M}achlup functional for a class of
anticipating processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {94},
year = {1992},
number = {2},
pages = {247--270},
issn = {0178-8051},
mrclass = {60H07 (60G30 60H10 60J65)},
mrnumber = {1191109},
mrreviewer = {L. A. Shepp},
doi = {10.1007/BF01192445},
url = {https://doi.org/10.1007/BF01192445}
}
@InCollection{ chaleyat-maurel.nualart:95:onsager-machlup,
author = {Chaleyat-Maurel, Mireille and Nualart, David},
title = {Onsager-{M}achlup functionals for solutions of stochastic
boundary value problems},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIX}},
series = {Lecture Notes in Math.},
volume = {1613},
pages = {44--55},
publisher = {Springer, Berlin},
year = {1995},
mrclass = {60H10 (60J65 82C31)},
mrnumber = {1459448},
mrreviewer = {Ofer Zeitouni},
doi = {10.1007/BFb0094199},
url = {https://doi.org/10.1007/BFb0094199}
}
@Article{ chaleyat-maurel.nualart:98:points,
author = {Chaleyat-Maurel, Mireille and Nualart, David},
title = {Points of positive density for smooth functionals},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {3},
year = {1998},
pages = {No. 1, 8},
issn = {1083-6489},
mrclass = {60H07},
mrnumber = {1487202},
mrreviewer = {Shi Zan Fang},
doi = {10.1214/EJP.v3-23},
url = {https://doi.org/10.1214/EJP.v3-23}
}
@Article{ chaleyat-maurel.sanz-sole:03:positivity,
author = {Chaleyat-Maurel, Mireille and Sanz-Sol\'{e}, Marta},
title = {Positivity of the density for the stochastic wave equation
in two spatial dimensions},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {7},
year = {2003},
pages = {89--114},
issn = {1292-8100},
mrclass = {60H15 (60H07)},
mrnumber = {1956074},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1051/ps:2003002},
url = {https://doi.org/10.1051/ps:2003002}
}
@Article{ chan:00:scaling,
author = {Chan, Terence},
title = {Scaling limits of {W}ick ordered {KPZ} equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {209},
year = {2000},
number = {3},
pages = {671--690},
issn = {0010-3616},
mrclass = {60H40 (60H15 60K40 82C27)},
mrnumber = {1743612},
mrreviewer = {Giambattista Giacomin},
doi = {10.1007/PL00020963},
url = {https://doi.org/10.1007/PL00020963}
}
@Article{ chandra.weber:17:stochastic,
author = {Chandra, Ajay and Weber, Hendrik},
title = {Stochastic {PDE}s, regularity structures, and interacting
particle systems},
journal = {Ann. Fac. Sci. Toulouse Math. (6)},
fjournal = {Annales de la Facult\'{e} des Sciences de Toulouse.
Math\'{e}matiques. S\'{e}rie 6},
volume = {26},
year = {2017},
number = {4},
pages = {847--909},
issn = {0240-2963},
mrclass = {35R60 (35B65 35K59 60H15)},
mrnumber = {3746645},
mrreviewer = {Alp O. Eden},
doi = {10.5802/afst.1555},
url = {https://doi.org/10.5802/afst.1555}
}
@Article{ chang.dafni.ea:99:hardy,
author = {Chang, Der-Chen and Dafni, Galia and Stein, Elias M.},
title = {Hardy spaces, {BMO}, and boundary value problems for the
{L}aplacian on a smooth domain in {$\bold R^n$}},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {351},
year = {1999},
number = {4},
pages = {1605--1661},
issn = {0002-9947},
mrclass = {46E15 (35J25 42B25 42B30)},
mrnumber = {1458319},
mrreviewer = {Steven George Krantz},
doi = {10.1090/S0002-9947-99-02111-X},
url = {https://doi.org/10.1090/S0002-9947-99-02111-X}
}
@InCollection{ chang.krantz.ea:92:hardy,
author = {Chang, Der-Chen and Krantz, Steven G. and Stein, Elias
M.},
title = {Hardy spaces and elliptic boundary value problems},
booktitle = {The {M}adison {S}ymposium on {C}omplex {A}nalysis
({M}adison, {WI}, 1991)},
series = {Contemp. Math.},
volume = {137},
pages = {119--131},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1992},
mrclass = {42B30 (35J25)},
mrnumber = {1190976},
doi = {10.1090/conm/137/1190976},
url = {https://doi.org/10.1090/conm/137/1190976}
}
@Article{ chang.krantz.ea:93:hp,
author = {Chang, Der-Chen and Krantz, Steven G. and Stein, Elias
M.},
title = {{$H^p$} theory on a smooth domain in {${\bf R}^N$} and
elliptic boundary value problems},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {114},
year = {1993},
number = {2},
pages = {286--347},
issn = {0022-1236},
mrclass = {46E15 (35J25 42B30 46N20)},
mrnumber = {1223705},
doi = {10.1006/jfan.1993.1069},
url = {https://doi.org/10.1006/jfan.1993.1069}
}
@Article{ chang.rao:83:bimeasures,
author = {Chang, Derek K. and Rao, M. M.},
title = {Bimeasures and sampling theorems for weakly harmonizable
processes},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {1},
year = {1983},
number = {1},
pages = {21--55},
issn = {0736-2994},
mrclass = {60G12 (28B05)},
mrnumber = {700356},
mrreviewer = {Habib Salehi},
doi = {10.1080/07362998308809003},
url = {https://doi.org/10.1080/07362998308809003}
}
@Article{ chang.yang:87:prescribing,
author = {Chang, Sun-Yung Alice and Yang, Paul C.},
title = {Prescribing {G}aussian curvature on {$S^2$}},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {159},
year = {1987},
number = {3-4},
pages = {215--259},
issn = {0001-5962},
mrclass = {35J60 (53A05 58E11 58G30)},
mrnumber = {908146},
mrreviewer = {John Urbas},
doi = {10.1007/BF02392560},
url = {https://doi.org/10.1007/BF02392560}
}
@Article{ chang.yang:88:conformal,
author = {Chang, Sun-Yung A. and Yang, Paul C.},
title = {Conformal deformation of metrics on {$S^2$}},
journal = {J. Differential Geom.},
fjournal = {Journal of Differential Geometry},
volume = {27},
year = {1988},
number = {2},
pages = {259--296},
issn = {0022-040X},
mrclass = {53C20 (58G30)},
mrnumber = {925123},
mrreviewer = {John M. Lee},
url = {http://projecteuclid.org/euclid.jdg/1214441783}
}
@Article{ chang:96:large,
author = {Chang, Mou-Hsiung},
title = {Large deviation for {N}avier-{S}tokes equations with small
stochastic perturbation},
journal = {Appl. Math. Comput.},
fjournal = {Applied Mathematics and Computation},
volume = {76},
year = {1996},
number = {1},
pages = {65--93},
issn = {0096-3003},
mrclass = {35Q30 (35R60 60H30 76D05 76M35)},
mrnumber = {1377394},
mrreviewer = {Ana Bela Cruzeiro},
doi = {10.1016/0096-3003(95)00150-6},
url = {https://doi.org/10.1016/0096-3003(95)00150-6}
}
@Article{ chaplain.tello:16:on,
author = {Chaplain, M. A. J. and Tello, J. I.},
title = {On the stability of homogeneous steady states of a
chemotaxis system with logistic growth term},
journal = {Appl. Math. Lett.},
fjournal = {Applied Mathematics Letters. An International Journal of
Rapid Publication},
volume = {57},
year = {2016},
pages = {1--6},
issn = {0893-9659},
mrclass = {92C17 (35B35 35M33 35Q92)},
mrnumber = {3464099},
mrreviewer = {Paula de Oliveira},
doi = {10.1016/j.aml.2015.12.001},
url = {https://doi.org/10.1016/j.aml.2015.12.001}
}
@Article{ chapman.rubinstein.ea:96:mean-field,
author = {Chapman, S. J. and Rubinstein, J. and Schatzman, M.},
title = {A mean-field model of superconducting vortices},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {7},
year = {1996},
number = {2},
pages = {97--111},
issn = {0956-7925},
mrclass = {82D55},
mrnumber = {1388106},
mrreviewer = {Ioan B\^{a}ldea},
doi = {10.1017/S0956792500002242},
url = {https://doi.org/10.1017/S0956792500002242}
}
@Article{ chatterjee.dunlap:20:constructing,
author = {Chatterjee, Sourav and Dunlap, Alexander},
title = {Constructing a solution of the {$(2+1)$}-dimensional {KPZ}
equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {2},
pages = {1014--1055},
issn = {0091-1798},
mrclass = {60H15 (35K59 35R60 60H50 81T15)},
mrnumber = {4089501},
mrreviewer = {D. Erhard},
doi = {10.1214/19-AOP1382},
url = {https://doi.org/10.1214/19-AOP1382}
}
@Article{ chatterjee.varadhan:11:large,
author = {Chatterjee, Sourav and Varadhan, S. R. S.},
title = {The large deviation principle for the {E}rd\H os-{R}\'enyi
random graph},
journal = {European J. Combin.},
fjournal = {European Journal of Combinatorics},
volume = {32},
year = {2011},
number = {7},
pages = {1000--1017},
issn = {0195-6698,1095-9971},
mrclass = {60F10 (05C80)},
mrnumber = {2825532},
mrreviewer = {Zhong\ Gen\ Su},
doi = {10.1016/j.ejc.2011.03.014},
url = {https://doi.org/10.1016/j.ejc.2011.03.014}
}
@Article{ chatterjee.zeitouni:18:thresholds,
author = {Chatterjee, Shirshendu and Zeitouni, Ofer},
title = {Thresholds for detecting an anomalous path from noisy
environments},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {28},
year = {2018},
number = {5},
pages = {2635--2663},
issn = {1050-5164,2168-8737},
mrclass = {62C20 (60K37 62G10 82B20)},
mrnumber = {3847969},
doi = {10.1214/17-AAP1356},
url = {https://doi.org/10.1214/17-AAP1356}
}
@Article{ chatterjee:13:universal,
author = {Chatterjee, Sourav},
title = {The universal relation between scaling exponents in
first-passage percolation},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {177},
year = {2013},
number = {2},
pages = {663--697},
issn = {0003-486X},
mrclass = {60K35 (82B43)},
mrnumber = {3010809},
mrreviewer = {Enrico Scalas},
doi = {10.4007/annals.2013.177.2.7},
url = {https://doi.org/10.4007/annals.2013.177.2.7}
}
@Article{ chatterjee:14:invariant,
author = {Chatterjee, Sourav},
title = {Invariant measures and the soliton resolution conjecture},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {67},
year = {2014},
number = {11},
pages = {1737--1842},
issn = {0010-3640},
mrclass = {35Q55 (35C08 60F10)},
mrnumber = {3263670},
mrreviewer = {Dmitry E. Pelinovsky},
doi = {10.1002/cpa.21501},
url = {https://doi.org/10.1002/cpa.21501}
}
@Article{ chavanis:10:stochastic,
author = {Chavanis, Pierre-Henri},
title = {A stochastic {K}eller-{S}egel model of chemotaxis},
journal = {Commun. Nonlinear Sci. Numer. Simul.},
fjournal = {Communications in Nonlinear Science and Numerical
Simulation},
volume = {15},
year = {2010},
number = {1},
pages = {60--70},
issn = {1007-5704},
mrclass = {92C17 (35R60 60G35)},
mrnumber = {2567057},
doi = {10.1016/j.cnsns.2008.09.002},
url = {https://doi.org/10.1016/j.cnsns.2008.09.002}
}
@Book{ chazal.silva.ea:16:structure,
author = {Chazal, Fr\'{e}d\'{e}ric and de Silva, Vin and Glisse,
Marc and Oudot, Steve},
title = {The structure and stability of persistence modules},
series = {SpringerBriefs in Mathematics},
publisher = {Springer, [Cham]},
year = {2016},
pages = {x+120},
isbn = {978-3-319-42543-6; 978-3-319-42545-0},
mrclass = {55N10 (16G20 55U10)},
mrnumber = {3524869},
mrreviewer = {Henry Hugh Adams},
doi = {10.1007/978-3-319-42545-0},
url = {https://doi.org/10.1007/978-3-319-42545-0}
}
@InCollection{ chekhov:11:algebraic,
author = {Chekhov, L. O.},
title = {Algebraic geometry and matrix models},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {597--618},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {14H70 (14H10 14H81 15B52 81Q30)},
mrnumber = {2932649},
mrreviewer = {Brad Safnuk}
}
@Article{ chekroun.liu.ea:23:transitions,
author = {Chekroun, Micka\"{e}l D. and Liu, Honghu and McWilliams,
James C. and Wang, Shouhong},
title = {Transitions in stochastic non-equilibrium systems:
efficient reduction and analysis},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {346},
year = {2023},
pages = {145--204},
issn = {0022-0396,1090-2732},
mrclass = {35R60},
mrnumber = {4513840},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2022.11.025},
url = {https://doi.org/10.1016/j.jde.2022.11.025}
}
@Article{ chekroun.park.ea:16:stampacchia,
author = {Chekroun, Micka\"{e}l D. and Park, Eunhee and Temam,
Roger},
title = {The {S}tampacchia maximum principle for stochastic partial
differential equations and applications},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {260},
year = {2016},
number = {3},
pages = {2926--2972},
issn = {0022-0396,1090-2732},
mrclass = {35R60 (35B50 35B51 60H15)},
mrnumber = {3427686},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2015.10.022},
url = {https://doi.org/10.1016/j.jde.2015.10.022}
}
@Article{ chelkak.duminil-copin.ea:14:convergence,
author = {Chelkak, Dmitry and Duminil-Copin, Hugo and Hongler,
Cl\'{e}ment and Kemppainen, Antti and Smirnov, Stanislav},
title = {Convergence of {I}sing interfaces to {S}chramm's {SLE}
curves},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {352},
year = {2014},
number = {2},
pages = {157--161},
issn = {1631-073X},
mrclass = {82B20},
mrnumber = {3151886},
doi = {10.1016/j.crma.2013.12.002},
url = {https://doi.org/10.1016/j.crma.2013.12.002}
}
@Article{ chelkak.smirnov:11:discrete,
author = {Chelkak, Dmitry and Smirnov, Stanislav},
title = {Discrete complex analysis on isoradial graphs},
journal = {Adv. Math.},
fjournal = {Advances in Mathematics},
volume = {228},
year = {2011},
number = {3},
pages = {1590--1630},
issn = {0001-8708,1090-2082},
mrclass = {60G50 (31C20 39A45 52C20 60J67)},
mrnumber = {2824564},
mrreviewer = {Ben\ Dyhr},
doi = {10.1016/j.aim.2011.06.025},
url = {https://doi.org/10.1016/j.aim.2011.06.025}
}
@Article{ chelkak.smirnov:12:universality,
author = {Chelkak, Dmitry and Smirnov, Stanislav},
title = {Universality in the 2{D} {I}sing model and conformal
invariance of fermionic observables},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {189},
year = {2012},
number = {3},
pages = {515--580},
issn = {0020-9910,1432-1297},
mrclass = {82B20 (30C20 30C35 60J67 60K35)},
mrnumber = {2957303},
mrreviewer = {Ben\ Dyhr},
doi = {10.1007/s00222-011-0371-2},
url = {https://doi.org/10.1007/s00222-011-0371-2}
}
@Article{ chemin:95:fluides,
author = {Chemin, Jean-Yves},
title = {Fluides parfaits incompressibles},
journal = {Ast\'{e}risque},
fjournal = {Ast\'{e}risque},
number = {230},
year = {1995},
pages = {177},
issn = {0303-1179},
mrclass = {76C05 (35-02 35Q35 76-02)},
mrnumber = {1340046},
mrreviewer = {Denis Serre}
}
@Article{ chen.cheng.ea:25:parabolic,
author = {Chen, Le and Cheng, Ouyang and Vickery, William},
title = {Parabolic {A}nderson model with colored noise on the
torus},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {31},
year = {2025},
number = {4},
pages = {3060--3086},
issn = {1350-7265},
mrclass = {60H15 (31C45 60G60)},
mrnumber = {4931362},
doi = {10.3150/24-BEJ1838},
url = {https://doi.org/10.3150/24-BEJ1838}
}
@InCollection{ chen.chong.ea:16:simulation,
author = {Chen, Bohan and Chong, Carsten and Kl\"{u}ppelberg,
Claudia},
title = {Simulation of stochastic {V}olterra equations driven by
space-time {L}\'{e}vy noise},
booktitle = {The fascination of probability, statistics and their
applications},
pages = {209--229},
publisher = {Springer, Cham},
year = {2016},
isbn = {978-3-319-25824-9; 978-3-319-25826-3},
mrclass = {60H20 (60H35)},
mrnumber = {3495686}
}
@Article{ chen.cohen.ea:16:conservative,
author = {Chen, Chuchu and Cohen, David and Hong, Jialin},
title = {Conservative methods for stochastic differential equations
with a conserved quantity},
journal = {Int. J. Numer. Anal. Model.},
fjournal = {International Journal of Numerical Analysis and Modeling},
volume = {13},
year = {2016},
number = {3},
pages = {435--456},
issn = {1705-5105,2617-8710},
mrclass = {65C30 (60H35)},
mrnumber = {3506778},
mrreviewer = {Marco\ P.\ Cabral},
doi = {10.1007/jhep03(2016)127},
url = {https://doi.org/10.1007/jhep03(2016)127}
}
@Article{ chen.cohen.ea:20:drift-preserving,
author = {Chen, Chuchu and Cohen, David and D'Ambrosio, Raffaele and
Lang, Annika},
title = {Drift-preserving numerical integrators for stochastic
{H}amiltonian systems},
journal = {Adv. Comput. Math.},
fjournal = {Advances in Computational Mathematics},
volume = {46},
year = {2020},
number = {2},
pages = {Paper No. 27, 22},
issn = {1019-7168,1572-9044},
mrclass = {65C30 (60H10 60H35 65C20)},
mrnumber = {4077238},
mrreviewer = {Marco\ P.\ Cabral},
doi = {10.1007/s10444-020-09771-5},
url = {https://doi.org/10.1007/s10444-020-09771-5}
}
@Article{ chen.cranston.ea:17:dissipation,
author = {Chen, Le and Cranston, Michael and Khoshnevisan, Davar and
Kim, Kunwoo},
title = {Dissipation and high disorder},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {1},
pages = {82--99},
issn = {0091-1798},
mrclass = {60J60 (47B80 60H25 60K35 60K37)},
mrnumber = {3601646},
mrreviewer = {Khoa L\^{e}},
doi = {10.1214/15-AOP1040},
url = {https://doi.org/10.1214/15-AOP1040}
}
@Article{ chen.dagard.ea:20:critical,
author = {Chen, Xinxing and Dagard, Victor and Derrida, Bernard and
Shi, Zhan},
title = {The critical behaviors and the scaling functions of a
coalescence equation},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {53},
year = {2020},
number = {19},
pages = {195202, 25},
issn = {1751-8113,1751-8121},
mrclass = {82B44 (05C80)},
mrnumber = {4093468},
doi = {10.1088/1751-8121/ab8134},
url = {https://doi.org/10.1088/1751-8121/ab8134}
}
@Article{ chen.dagard.ea:21:derrida-retaux,
author = {Chen, Xinxing and Dagard, Victor and Derrida, Bernard and
Hu, Yueyun and Lifshits, Mikhail and Shi, Zhan},
title = {The {D}errida-{R}etaux conjecture on recursive models},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {2},
pages = {637--670},
issn = {0091-1798,2168-894X},
mrclass = {60J80 (60K35)},
mrnumber = {4255128},
mrreviewer = {Daniela\ Bertacchi},
doi = {10.1214/20-aop1457},
url = {https://doi.org/10.1214/20-aop1457}
}
@Article{ chen.dalang:12:nonlinear,
title = {The nonlinear stochastic heat equation with rough initial
data:a summary of some new results},
author = {Le Chen and Robert C. Dalang},
year = {2012},
month = {October},
journal = {Preprint arXiv:1210.1690},
url = {https://www.arxiv.org/abs/1210.1690}
}
@Article{ chen.dalang:14:holder-continuity,
author = {Chen, Le and Dalang, Robert C.},
title = {H\"{o}lder-continuity for the nonlinear stochastic heat
equation with rough initial conditions},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {2},
year = {2014},
number = {3},
pages = {316--352},
issn = {2194-0401},
mrclass = {60H15 (35B65 35K15 35R06 35R60 60G60)},
mrnumber = {3255231},
mrreviewer = {Anna Karczewska},
doi = {10.1007/s40072-014-0034-6},
url = {https://doi.org/10.1007/s40072-014-0034-6}
}
@Article{ chen.dalang:14:moment,
title = {Moment bounds in spde's with application to the stochastic
wave equation},
author = {Le Chen and Robert C. Dalang},
year = {2014},
month = {January},
journal = {Preprint arXiv:1401.6506},
url = {https://www.arxiv.org/abs/1401.6506}
}
@Article{ chen.dalang:15:moment,
author = {Chen, Le and Dalang, Robert C.},
title = {Moment bounds and asymptotics for the stochastic wave
equation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {4},
pages = {1605--1628},
issn = {0304-4149},
mrclass = {60H15 (35R60 60G60)},
mrnumber = {3310358},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1016/j.spa.2014.11.009},
url = {https://doi.org/10.1016/j.spa.2014.11.009}
}
@Article{ chen.dalang:15:moments,
author = {Chen, Le and Dalang, Robert C.},
title = {Moments and growth indices for the nonlinear stochastic
heat equation with rough initial conditions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {6},
pages = {3006--3051},
issn = {0091-1798},
mrclass = {60H15 (35R60 60G60)},
mrnumber = {3433576},
mrreviewer = {Mathew Joseph},
doi = {10.1214/14-AOP954},
url = {https://doi.org/10.1214/14-AOP954}
}
@Article{ chen.dalang:15:moments*1,
author = {Chen, Le and Dalang, Robert C.},
title = {Moments, intermittency and growth indices for the
nonlinear fractional stochastic heat equation},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {3},
year = {2015},
number = {3},
pages = {360--397},
issn = {2194-0401},
mrclass = {60H15 (35R11 35R60 60G60)},
mrnumber = {3383450},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s40072-015-0054-x},
url = {https://doi.org/10.1007/s40072-015-0054-x}
}
@Article{ chen.deya.ea:21:k-rough,
author = {Chen, Xia and Deya, Aur\'{e}lien and Ouyang, Cheng and
Tindel, Samy},
title = {A {$K$}-rough path above the space-time fractional
{B}rownian motion},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {9},
year = {2021},
number = {4},
pages = {819--866},
issn = {2194-0401},
mrclass = {60L30 (60F10 60K37 60L50)},
mrnumber = {4333504},
doi = {10.1007/s40072-020-00186-3},
url = {https://doi.org/10.1007/s40072-020-00186-3}
}
@Article{ chen.deya.ea:21:moment,
author = {Chen, Xia and Deya, Aur\'{e}lien and Ouyang, Cheng and
Tindel, Samy},
title = {Moment estimates for some renormalized parabolic
{A}nderson models},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {5},
pages = {2599--2636},
issn = {0091-1798},
mrclass = {60L30 (60F10 60K37 60L50)},
mrnumber = {4317714},
mrreviewer = {Adam Matthew Bowditch},
doi = {10.1214/21-aop1517},
url = {https://doi.org/10.1214/21-aop1517}
}
@Article{ chen.deya.ea:21:solving,
title = {Solving the hyperbolic Anderson model 1: Skorohod
setting},
author = {Xia Chen and Aur\'elien Deya and Jian Song and Samy
Tindel},
year = {2021},
month = {December},
journal = {Preprint arXiv:2112.04954},
url = {https://www.arxiv.org/abs/2112.04954}
}
@Article{ chen.deya.ea:23:hyperbolic,
author = {Chen, Xia and Deya, Aur\'elien and Song, Jian and Tindel,
Samy},
title = {Hyperbolic {A}nderson model 2: {S}trichartz estimates and
{S}tratonovich setting},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2023},
number = {21},
pages = {18575--18628},
issn = {1073-7928,1687-0247},
mrclass = {60H15 (35L15 35R60 60G15)},
mrnumber = {4665631},
doi = {10.1093/imrn/rnad039},
url = {https://doi.org/10.1093/imrn/rnad039}
}
@Article{ chen.eisenberg:22:interpolating,
title = {Interpolating the stochastic heat and wave equations with
time-independent noise: solvability and exact asymptotics},
author = {Le Chen and Nicholas Eisenberg},
year = {2022},
month = {August},
journal = {Stoch. Partial Differ. Equ. Anal. Comput. (in press)},
url = {https://www.arxiv.org/abs/2108.11473}
}
@Article{ chen.eisenberg:22:invariant,
title = {Invariant measures for the nonlinear stochastic heat
equation with no drift term},
author = {Le Chen and Nicholas Eisenberg},
year = {2022},
month = {September},
journal = {J. Theoret. Probab. (pending revision, preprint
arXiv:2209.04771)},
url = {http://arXiv.org/abs/2209.04771}
}
@Article{ chen.eisenberg:23:interpolating,
author = {Chen, Le and Eisenberg, Nicholas},
title = {Interpolating the stochastic heat and wave equations with
time-independent noise: solvability and exact asymptotics},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {11},
year = {2023},
number = {3},
pages = {1203--1253},
issn = {2194-0401},
mrclass = {60H15 (35R11 37H15 60H07)},
mrnumber = {4624137},
doi = {10.1007/s40072-022-00258-6},
url = {https://doi.org/10.1007/s40072-022-00258-6}
}
@Article{ chen.eisenberg:24:invariant,
author = {Chen, Le and Eisenberg, Nicholas},
title = {Invariant {M}easures for the {N}onlinear {S}tochastic
{H}eat {E}quation with {N}o {D}rift {T}erm},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {37},
year = {2024},
number = {2},
pages = {1357--1396},
issn = {0894-9840},
mrclass = {Prelim},
mrnumber = {4751295},
doi = {10.1007/s10959-023-01302-4},
url = {https://doi.org/10.1007/s10959-023-01302-4}
}
@Article{ chen.eriksen.ea:95:largest,
author = {Chen, Yang and Eriksen, Kasper J. and Tracy, Craig A.},
title = {Largest eigenvalue distribution in the double scaling
limit of matrix models: a {C}oulomb fluid approach},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {28},
year = {1995},
number = {7},
pages = {L207--L211},
issn = {0305-4470},
mrclass = {81T27 (81T40)},
mrnumber = {1336493},
url = {http://stacks.iop.org/0305-4470/28/L207}
}
@Article{ chen.fang.ea:19:small,
author = {Chen, Zhen-Qing and Fang, Shizan and Zhang, Tusheng},
title = {Small time asymptotics for {B}rownian motion with singular
drift},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {147},
year = {2019},
number = {8},
pages = {3567--3578},
issn = {0002-9939},
mrclass = {60H15 (35R60 93E20)},
mrnumber = {3981134},
mrreviewer = {Qi L\"{u}},
doi = {10.1090/proc/14511},
url = {https://doi.org/10.1090/proc/14511}
}
@Article{ chen.fitzsimmons.ea:08:perturbation,
author = {Chen, Z.-Q. and Fitzsimmons, P. J. and Kuwae, K. and
Zhang, T.-S.},
title = {Perturbation of symmetric {M}arkov processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {140},
year = {2008},
number = {1-2},
pages = {239--275},
issn = {0178-8051},
mrclass = {60J45 (31C25 60H05 60J25 60J55 60J57)},
mrnumber = {2357677},
mrreviewer = {M. G. Shur},
doi = {10.1007/s00440-007-0065-2},
url = {https://doi.org/10.1007/s00440-007-0065-2}
}
@Article{ chen.fitzsimmons.ea:08:stochastic,
author = {Chen, Z.-Q. and Fitzsimmons, P. J. and Kuwae, K. and
Zhang, T.-S.},
title = {Stochastic calculus for symmetric {M}arkov processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {36},
year = {2008},
number = {3},
pages = {931--970},
issn = {0091-1798},
mrclass = {60J57 (31C25 60H05 60J55)},
mrnumber = {2408579},
mrreviewer = {Zoran Vondra\v{c}ek},
doi = {10.1214/07-AOP347},
url = {https://doi.org/10.1214/07-AOP347}
}
@Article{ chen.fitzsimmons.ea:09:on,
author = {Chen, Z.-Q. and Fitzsimmons, P. J. and Kuwae, K. and
Zhang, T.-S.},
title = {On general perturbations of symmetric {M}arkov processes},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {92},
year = {2009},
number = {4},
pages = {363--374},
issn = {0021-7824},
mrclass = {60J57 (60J45 60J55)},
mrnumber = {2569183},
mrreviewer = {Jiangang Ying},
doi = {10.1016/j.matpur.2009.05.012},
url = {https://doi.org/10.1016/j.matpur.2009.05.012}
}
@Article{ chen.fitzsimmons.ea:12:errata,
author = {Chen, Zhen-Qing and Fitzsimmons, Patrick J. and Kuwae,
Kazuhiro and Zhang, Tu-Sheng},
title = {Errata for {S}tochastic calculus for symmetric {M}arkov
processes [MR2408579]},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {3},
pages = {1375--1376},
issn = {0091-1798},
mrclass = {60J57 (31C25 60H05 60J55)},
mrnumber = {2962095},
doi = {10.1214/11-AOP684},
url = {https://doi.org/10.1214/11-AOP684}
}
@Article{ chen.foondun.ea:23:global,
title = {Global solution for superlinear stochastic heat equation
on $\mathbb{R}^d$ under Osgood-type conditions},
author = {Le Chen and Mohammud Foondun and Jingyu Huang and Michael
Salins},
year = {2023},
month = {October},
journal = {Nonlinearity (to appear in 2025), preprint
arXiv:2310.02153},
url = {http://arXiv.org/abs/2310.02153}
}
@Article{ chen.foondun.ea:25:global,
author = {Chen, Le and Foondun, Mohammud and Huang, Jingyu and
Salins, Michael},
title = {Global solution for superlinear stochastic heat equation
on {$\Bbb R^d$} under {O}sgood-type conditions},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {38},
year = {2025},
number = {5},
pages = {Paper No. 055026, 25},
issn = {0951-7715},
mrclass = {60H15},
mrnumber = {4904500},
doi = {10.1088/1361-6544/add3b2},
url = {https://doi.org/10.1088/1361-6544/add3b2}
}
@Article{ chen.gao:15:cauchy,
author = {Chen, Yong and Gao, Hongjun},
title = {The {C}auchy problem for the {H}artree equations under
random influences},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {259},
year = {2015},
number = {10},
pages = {5192--5219},
issn = {0022-0396,1090-2732},
mrclass = {35R60 (35B30 35B44 35D35 35G25 35Q55 60H15)},
mrnumber = {3377523},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2015.06.021},
url = {https://doi.org/10.1016/j.jde.2015.06.021}
}
@Book{ chen.goldstein.ea:11:normal,
author = {Chen, Louis H. Y. and Goldstein, Larry and Shao, Qi-Man},
title = {Normal approximation by {S}tein's method},
series = {Probability and its Applications (New York)},
publisher = {Springer, Heidelberg},
year = {2011},
pages = {xii+405},
isbn = {978-3-642-15006-7},
mrclass = {60F05 (60C05 60F10 60H07 62E20)},
mrnumber = {2732624},
mrreviewer = {Anthony R\'{e}veillac},
doi = {10.1007/978-3-642-15007-4},
url = {https://doi.org/10.1007/978-3-642-15007-4}
}
@Article{ chen.guillin:04:functional,
author = {Chen, Xia and Guillin, Arnaud},
title = {The functional moderate deviations for {H}arris recurrent
{M}arkov chains and applications},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {40},
year = {2004},
number = {1},
pages = {89--124},
issn = {0246-0203},
mrclass = {60J55 (60F10 60F15 60F17)},
mrnumber = {2037475},
mrreviewer = {Karl Grill},
doi = {10.1016/S0246-0203(03)00061-X},
url = {https://doi.org/10.1016/S0246-0203(03)00061-X}
}
@Article{ chen.guo.ea:22:moments,
title = {Moments and asymptotics for a class of SPDEs with
space-time white noise},
author = {Le Chen and Yuhui Guo and Jian Song},
year = {2022},
month = {June},
journal = {Preprint arXiv:2206.10069, to appear in Trans. Amer. Math.
Soc.},
url = {https://www.arxiv.org/abs/2206.10069}
}
@Article{ chen.guo.ea:24:moments,
author = {Chen, Le and Guo, Yuhui and Song, Jian},
title = {Moments and asymptotics for a class of {SPDE}s with
space-time white noise},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {377},
year = {2024},
number = {6},
pages = {4255--4301},
issn = {0002-9947},
mrclass = {60H15 (26A33 37H15 60G60 60H07)},
mrnumber = {4748620},
doi = {10.1090/tran/9138},
url = {https://doi.org/10.1090/tran/9138}
}
@Article{ chen.hu.ea:15:exponential,
author = {Chen, Xia and Hu, Yaozhong and Song, Jian and Xing, Fei},
title = {Exponential asymptotics for time-space {H}amiltonians},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {51},
year = {2015},
number = {4},
pages = {1529--1561},
issn = {0246-0203},
mrclass = {60J65 (60F10 60G55 60K37 60K40)},
mrnumber = {3414457},
mrreviewer = {Francis Comets},
doi = {10.1214/13-AIHP588},
url = {https://doi.org/10.1214/13-AIHP588}
}
@Article{ chen.hu.ea:17:parameter,
author = {Chen, Yong and Hu, Yaozhong and Wang, Zhi},
title = {Parameter estimation of complex fractional
{O}rnstein-{U}hlenbeck processes with fractional noise},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {14},
year = {2017},
number = {1},
pages = {613--629},
mrclass = {60H07 (60F05 62M09)},
mrnumber = {3680192},
mrreviewer = {Ciprian A. Tudor}
}
@Article{ chen.hu.ea:17:space-time,
author = {Chen, Le and Hu, Guannan and Hu, Yaozhong and Huang,
Jingyu},
title = {Space-time fractional diffusions in {G}aussian noisy
environment},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {89},
year = {2017},
number = {1},
pages = {171--206},
issn = {1744-2508},
mrclass = {60H15 (60G22)},
mrnumber = {3574699},
mrreviewer = {Xiliang Fan},
doi = {10.1080/17442508.2016.1146282},
url = {https://doi.org/10.1080/17442508.2016.1146282}
}
@Article{ chen.hu.ea:17:spatial,
author = {Chen, Xia and Hu, Yaozhong and Nualart, David and Tindel,
Samy},
title = {Spatial asymptotics for the parabolic {A}nderson model
driven by a {G}aussian rough noise},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 65, 38},
mrclass = {60G15 (60H07 60H15)},
mrnumber = {3690290},
mrreviewer = {Peter Karl Friz},
doi = {10.1214/17-EJP83},
url = {https://doi.org/10.1214/17-EJP83}
}
@Article{ chen.hu.ea:17:two-point,
author = {Chen, Le and Hu, Yaozhong and Nualart, David},
title = {Two-point correlation function and {F}eynman-{K}ac formula
for the stochastic heat equation},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {46},
year = {2017},
number = {4},
pages = {779--797},
issn = {0926-2601},
mrclass = {60H15 (35K15 35R60 60G60 60H07 60J55)},
mrnumber = {3636598},
mrreviewer = {Robert C. Dalang},
doi = {10.1007/s11118-016-9601-y},
url = {https://doi.org/10.1007/s11118-016-9601-y}
}
@Article{ chen.hu.ea:18:gradient,
author = {Chen, Yong and Hu, Yaozhong and Wang, Zhi},
title = {Gradient and stability estimates of heat kernels for
fractional powers of elliptic operator},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {142},
year = {2018},
pages = {44--49},
issn = {0167-7152},
mrclass = {60J35 (47D07)},
mrnumber = {3842614},
mrreviewer = {Ren Ming Song},
doi = {10.1016/j.spl.2018.07.003},
url = {https://doi.org/10.1016/j.spl.2018.07.003}
}
@Article{ chen.hu.ea:18:intermittency,
author = {Chen, Le and Hu, Yaozhong and Kalbasi, Kamran and Nualart,
David},
title = {Intermittency for the stochastic heat equation driven by a
rough time fractional {G}aussian noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {171},
year = {2018},
number = {1-2},
pages = {431--457},
issn = {0178-8051},
mrclass = {60H15 (35K15 35R60 60G60)},
mrnumber = {3800837},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1007/s00440-017-0783-z},
url = {https://doi.org/10.1007/s00440-017-0783-z}
}
@Article{ chen.hu.ea:18:temporal,
author = {Chen, Xia and Hu, Yaozhong and Song, Jian and Song,
Xiaoming},
title = {Temporal asymptotics for fractional parabolic {A}nderson
model},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {23},
year = {2018},
pages = {Paper No. 14, 39},
mrclass = {60H15 (60F10 60G15 60G52)},
mrnumber = {3771751},
mrreviewer = {Robert C. Dalang},
doi = {10.1214/18-EJP139},
url = {https://doi.org/10.1214/18-EJP139}
}
@Article{ chen.hu.ea:19:nonlinear,
author = {Chen, Le and Hu, Yaozhong and Nualart, David},
title = {Nonlinear stochastic time-fractional slow and fast
diffusion equations on {$\Bbb R^d$}},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {129},
year = {2019},
number = {12},
pages = {5073--5112},
issn = {0304-4149},
mrclass = {60H15 (35R11 35R60 60G60)},
mrnumber = {4025700},
mrreviewer = {Latifa Debbi},
doi = {10.1016/j.spa.2019.01.003},
url = {https://doi.org/10.1016/j.spa.2019.01.003}
}
@Article{ chen.hu.ea:21:regularity,
author = {Chen, Le and Hu, Yaozhong and Nualart, David},
title = {Regularity and strict positivity of densities for the
nonlinear stochastic heat equation},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {273},
year = {2021},
number = {1340},
pages = {v+102},
issn = {0065-9266},
isbn = {978-1-4704-5000-7; 978-1-4704-6809-5},
mrclass = {60H15 (35K05 60G60)},
mrnumber = {4334477},
doi = {10.1090/memo/1340},
url = {https://doi.org/10.1090/memo/1340}
}
@Article{ chen.hu:21:solvability,
title = {Solvability of parabolic Anderson equation with fractional
Gaussian noise},
author = {Zhen-Qing Chen and Yaozhong Hu},
year = {2021},
month = {January},
journal = {To appear in Comm. in Math. Stat., preprint
arXiv:2101.05997},
url = {https://www.arxiv.org/abs/2101.05997}
}
@Article{ chen.hu:22:holder,
author = {Chen, Le and Hu, Guannan},
title = {H\"{o}lder regularity for the nonlinear stochastic
time-fractional slow \& fast diffusion equations on {$\Bbb
R^d$}},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis. An International
Journal for Theory and Applications},
volume = {25},
year = {2022},
number = {2},
pages = {608--629},
issn = {1311-0454},
mrclass = {60H15 (26A33 35R11)},
mrnumber = {4437294},
doi = {10.1007/s13540-022-00033-3},
url = {https://doi.org/10.1007/s13540-022-00033-3}
}
@Article{ chen.hu:23:solvability,
author = {Chen, Zhen-Qing and Hu, Yaozhong},
title = {Solvability of parabolic {A}nderson equation with
fractional {G}aussian noise},
journal = {Commun. Math. Stat.},
fjournal = {Communications in Mathematics and Statistics},
volume = {11},
year = {2023},
number = {3},
pages = {563--582},
issn = {2194-6701},
mrclass = {60H15 (35K05 35R60 60G15 60G22 60G60)},
mrnumber = {4696410},
mrreviewer = {Kunwoo Kim},
doi = {10.1007/s40304-021-00264-5},
url = {https://doi.org/10.1007/s40304-021-00264-5}
}
@Misc{ chen.hu:23:some,
author = {Le Chen and Guannan Hu},
title = {Some symbolic tools for the {Fox} {$H$}-function},
month = {nov},
year = {2023},
publisher = {GitHub \& Zenodo},
journal = {GitHub repository},
doi = {10.5281/zenodo.10143785},
url = {https://github.com/chenle02/Fox-H_Symbolic_Tools}
}
@Article{ chen.huang.ea:19:dense,
author = {Chen, Le and Huang, Jingyu and Khoshnevisan, Davar and
Kim, Kunwoo},
title = {Dense blowup for parabolic {SPDE}s},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 118, 33},
mrclass = {60H15 (35B44 35K15 35K91 35R60 60G15)},
mrnumber = {4029421},
mrreviewer = {Guangqu Zheng},
doi = {10.1214/19-ejp372},
url = {https://doi.org/10.1214/19-ejp372}
}
@Article{ chen.huang.ea:25:stochastic,
title = {A stochastic heat equation with non-locally Lipschitz
coefficients},
author = {Le Chen and Jingyu Huang and Wenxuan Tao},
year = {2025},
month = {July},
journal = {Preprint arXiv:2507.23637},
url = {http://arXiv.org/abs/2507.23637}
}
@Article{ chen.huang:19:comparison,
author = {Chen, Le and Huang, Jingyu},
title = {Comparison principle for stochastic heat equation on
{$\Bbb R^d$}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {2},
pages = {989--1035},
issn = {0091-1798},
mrclass = {60H15 (35B51 35R60 60G60)},
mrnumber = {3916940},
mrreviewer = {Petru A. Cioica-Licht},
doi = {10.1214/18-AOP1277},
url = {https://doi.org/10.1214/18-AOP1277}
}
@Article{ chen.huang:19:regularity,
title = {Regularity and strict positivity of densities for the
stochastic heat equation on $\mathbb{R}^d$},
author = {Le Chen and Jingyu Huang},
year = {2019},
month = {February},
journal = {Preprint arXiv:1902.02382},
url = {https://www.arxiv.org/abs/1902.02382}
}
@Article{ chen.huang:23:superlinear,
author = {Chen, Le and Huang, Jingyu},
title = {Superlinear stochastic heat equation on {$\Bbb{R}^d$}},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {151},
year = {2023},
number = {9},
pages = {4063--4078},
issn = {0002-9939},
mrclass = {60H15 (35K57 35R60)},
mrnumber = {4607649},
doi = {10.1090/proc/16436},
url = {https://doi.org/10.1090/proc/16436}
}
@Article{ chen.khoshnevisan.ea:16:decorrelation,
author = {Chen, Le and Khoshnevisan, Davar and Kim, Kunwoo},
title = {Decorrelation of total mass via energy},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {45},
year = {2016},
number = {1},
pages = {157--166},
issn = {0926-2601},
mrclass = {60H15 (35K10 35R60 60B15 60H25 60K37)},
mrnumber = {3511809},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1007/s11118-016-9540-7},
url = {https://doi.org/10.1007/s11118-016-9540-7}
}
@Article{ chen.khoshnevisan.ea:17:boundedness,
author = {Chen, Le and Khoshnevisan, Davar and Kim, Kunwoo},
title = {A boundedness trichotomy for the stochastic heat
equation},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {53},
year = {2017},
number = {4},
pages = {1991--2004},
issn = {0246-0203},
mrclass = {60H15 (35R60)},
mrnumber = {3729644},
mrreviewer = {Paul Andr\'{e} Razafimandimby},
doi = {10.1214/16-AIHP780},
url = {https://doi.org/10.1214/16-AIHP780}
}
@Article{ chen.khoshnevisan.ea:21:clt,
author = {Chen, Le and Khoshnevisan, Davar and Nualart, David and
Pu, Fei},
title = {A {CLT} for dependent random variables with an application
to an infinite system of interacting diffusion processes},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {149},
year = {2021},
number = {12},
pages = {5367--5384},
issn = {0002-9939},
mrclass = {60F05},
mrnumber = {4327439},
mrreviewer = {Yoshihiko Maesono},
doi = {10.1090/proc/15614},
url = {https://doi.org/10.1090/proc/15614}
}
@Article{ chen.khoshnevisan.ea:21:spatial,
author = {Chen, Le and Khoshnevisan, Davar and Nualart, David and
Pu, Fei},
title = {Spatial ergodicity for {SPDE}s via {P}oincar\'{e}-type
inequalities},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {26},
year = {2021},
pages = {Paper No. 140, 37},
mrclass = {60H15 (37A25 60G10 60H07)},
mrnumber = {4346664},
doi = {10.1214/21-ejp690},
url = {https://doi.org/10.1214/21-ejp690}
}
@Article{ chen.khoshnevisan.ea:22:central,
author = {Chen, Le and Khoshnevisan, Davar and Nualart, David and
Pu, Fei},
title = {Central limit theorems for parabolic stochastic partial
differential equations},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {58},
year = {2022},
number = {2},
pages = {1052--1077},
issn = {0246-0203},
mrclass = {60H15 (60F17 60H07)},
mrnumber = {4421618},
doi = {10.1214/21-aihp1189},
url = {https://doi.org/10.1214/21-aihp1189}
}
@Article{ chen.khoshnevisan.ea:22:spatial,
author = {Chen, Le and Khoshnevisan, Davar and Nualart, David and
Pu, Fei},
title = {Spatial ergodicity and central limit theorems for
parabolic {A}nderson model with delta initial condition},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {282},
year = {2022},
number = {2},
pages = {Paper No. 109290, 35},
issn = {0022-1236},
mrclass = {60H15 (60F05 60H07)},
mrnumber = {4334682},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1016/j.jfa.2021.109290},
url = {https://doi.org/10.1016/j.jfa.2021.109290}
}
@Article{ chen.khoshnevisan.ea:23:central,
author = {Chen, Le and Khoshnevisan, Davar and Nualart, David and
Pu, Fei},
title = {Central limit theorems for spatial averages of the
stochastic heat equation via {M}alliavin-{S}tein's method},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {11},
year = {2023},
number = {1},
pages = {122--176},
issn = {2194-0401},
mrclass = {60H15 (35K05 60F05 60H07)},
mrnumber = {4563698},
doi = {10.1007/s40072-021-00224-8},
url = {https://doi.org/10.1007/s40072-021-00224-8}
}
@InCollection{ chen.khoshnevisan:09:from,
author = {Chen, Xia and Khoshnevisan, Davar},
title = {From charged polymers to random walk in random scenery},
booktitle = {Optimality},
series = {IMS Lecture Notes Monogr. Ser.},
volume = {57},
pages = {237--251},
publisher = {Inst. Math. Statist., Beachwood, OH},
year = {2009},
mrclass = {60K37 (60K35 82D60)},
mrnumber = {2681685},
mrreviewer = {R\'{e}mi Rhodes},
doi = {10.1214/09-LNMS5714},
url = {https://doi.org/10.1214/09-LNMS5714}
}
@Article{ chen.kim.ea:10:heat,
author = {Chen, Zhen-Qing and Kim, Panki and Song, Renming},
title = {Heat kernel estimates for the {D}irichlet fractional
{L}aplacian},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {12},
year = {2010},
number = {5},
pages = {1307--1329},
issn = {1435-9855},
mrclass = {58J65 (35R11 58J35 60G52 60J75)},
mrnumber = {2677618},
mrreviewer = {Andrzej Stos},
doi = {10.4171/JEMS/231},
url = {https://doi.org/10.4171/JEMS/231}
}
@Article{ chen.kim.ea:15:fractional,
author = {Chen, Zhen-Qing and Kim, Kyeong-Hun and Kim, Panki},
title = {Fractional time stochastic partial differential
equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {4},
pages = {1470--1499},
issn = {0304-4149},
mrclass = {60H15 (35R11 35R60)},
mrnumber = {3310354},
mrreviewer = {Le Chen},
doi = {10.1016/j.spa.2014.11.005},
url = {https://doi.org/10.1016/j.spa.2014.11.005}
}
@Article{ chen.kim:14:lp-theory,
author = {Chen, Zhen-Qing and Kim, Kyeong-Hun},
title = {An {$L_p$}-theory for non-divergence form {SPDE}s driven
by {L}\'{e}vy processes},
journal = {Forum Math.},
fjournal = {Forum Mathematicum},
volume = {26},
year = {2014},
number = {5},
pages = {1381--1411},
issn = {0933-7741,1435-5337},
mrclass = {60H15 (35R60)},
mrnumber = {3334033},
mrreviewer = {Le\ Chen},
doi = {10.1515/forum-2011-0123},
url = {https://doi.org/10.1515/forum-2011-0123}
}
@Article{ chen.kim:17:on,
author = {Chen, Le and Kim, Kunwoo},
title = {On comparison principle and strict positivity of solutions
to the nonlinear stochastic fractional heat equations},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {53},
year = {2017},
number = {1},
pages = {358--388},
issn = {0246-0203},
mrclass = {60H15 (35B51 35R11 35R60 60G60)},
mrnumber = {3606745},
mrreviewer = {Mohammud Foondun},
doi = {10.1214/15-AIHP719},
url = {https://doi.org/10.1214/15-AIHP719}
}
@Article{ chen.kim:19:nonlinear,
author = {Chen, Le and Kim, Kunwoo},
title = {Nonlinear stochastic heat equation driven by spatially
colored noise: moments and intermittency},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {39},
year = {2019},
number = {3},
pages = {645--668},
issn = {0252-9602},
mrclass = {60H15 (35K15 35K58 35R60 60G60)},
mrnumber = {4066498},
doi = {10.1007/s10473-019-0303-6},
url = {https://doi.org/10.1007/s10473-019-0303-6}
}
@Article{ chen.kim:20:stochastic,
author = {Chen, Le and Kim, Kunwoo},
title = {Stochastic comparisons for stochastic heat equation},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {25},
year = {2020},
pages = {Paper No. 140, 38},
mrclass = {60H15 (35R60 60G60)},
mrnumber = {4186259},
mrreviewer = {Vitalii Konarovskyi},
doi = {10.1214/20-ejp541},
url = {https://doi.org/10.1214/20-ejp541}
}
@Article{ chen.kuelbs.ea:00:functional,
author = {Chen, Xia and Kuelbs, James and Li, Wenbo},
title = {A functional {LIL} for symmetric stable processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {1},
pages = {258--276},
issn = {0091-1798},
mrclass = {60F17 (60G17 60G52 60G70)},
mrnumber = {1756005},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1214/aop/1019160119},
url = {https://doi.org/10.1214/aop/1019160119}
}
@Article{ chen.kulik:11:asymptotics,
author = {Chen, Xia and Kulik, Alexey},
title = {Asymptotics of negative exponential moments for annealed
{B}rownian motion in a renormalized {P}oisson potential},
journal = {Int. J. Stoch. Anal.},
fjournal = {International Journal of Stochastic Analysis},
year = {2011},
pages = {Art. ID 803683, 43},
issn = {2090-3332},
mrclass = {60K37 (60F10 60G60 60H25 60J45 60J65)},
mrnumber = {2812672},
mrreviewer = {Yueyun Hu},
doi = {10.1155/2011/803683},
url = {https://doi.org/10.1155/2011/803683}
}
@Article{ chen.kulik:12:brownian,
author = {Chen, Xia and Kulik, Alexey M.},
title = {Brownian motion and parabolic {A}nderson model in a
renormalized {P}oisson potential},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {48},
year = {2012},
number = {3},
pages = {631--660},
issn = {0246-0203},
mrclass = {60J45 (60G55 60J65 60K37 60K40)},
mrnumber = {2976557},
mrreviewer = {Andrew R. Wade},
doi = {10.1214/11-AIHP419},
url = {https://doi.org/10.1214/11-AIHP419}
}
@Article{ chen.kumagai:03:heat,
author = {Chen, Zhen-Qing and Kumagai, Takashi},
title = {Heat kernel estimates for stable-like processes on
{$d$}-sets},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {108},
year = {2003},
number = {1},
pages = {27--62},
issn = {0304-4149},
mrclass = {60J75 (46E35 60J35)},
mrnumber = {2008600},
mrreviewer = {Michael Skeide},
doi = {10.1016/S0304-4149(03)00105-4},
url = {https://doi.org/10.1016/S0304-4149(03)00105-4}
}
@Article{ chen.kuzgun.ea:24:on,
author = {Chen, Le and Kuzgun, Sefika and Mueller, Carl and Xia,
Panqiu},
title = {On the radius of self-repellent fractional {B}rownian
motion},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {191},
year = {2024},
number = {2},
pages = {Paper No. 19, 15},
issn = {0022-4715},
mrclass = {60G22 (60K35)},
mrnumber = {4698730},
doi = {10.1007/s10955-023-03227-y},
url = {https://doi.org/10.1007/s10955-023-03227-y}
}
@Article{ chen.lee.ea:23:strong,
author = {Chen, Le and Lee, Cheuk-Yin and Xia, Panqiu},
title = {Strong local nondeterminism for a parametric class of
{SPDEs}},
year = {2023},
journal = {Working progress}
}
@Article{ chen.li.ea:05:large,
author = {Chen, Xia and Li, Wenbo V. and Rosen, Jay},
title = {Large deviations for local times of stable processes and
stable random walks in 1 dimension},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {10},
year = {2005},
pages = {no. 16, 577--608},
issn = {1083-6489},
mrclass = {60F10 (60G50 60J55)},
mrnumber = {2147318},
mrreviewer = {Ofer Zeitouni},
doi = {10.1214/EJP.v10-260},
url = {https://doi.org/10.1214/EJP.v10-260}
}
@Article{ chen.li.ea:10:clt,
author = {Chen, Xia and Li, Wenbo V. and Marcus, Michael B. and
Rosen, Jay},
title = {A {CLT} for the {$L^2$} modulus of continuity of
{B}rownian local time},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {1},
pages = {396--438},
issn = {0091-1798},
mrclass = {60J55 (60F05 60G17 60J65)},
mrnumber = {2599604},
mrreviewer = {Tam\'{a}s Szabados},
doi = {10.1214/09-AOP486},
url = {https://doi.org/10.1214/09-AOP486}
}
@Article{ chen.li.ea:11:large,
author = {Chen, Xia and Li, Wenbo V. and Rosi\'{n}ski, Jan and Shao,
Qi-Man},
title = {Large deviations for local times and intersection local
times of fractional {B}rownian motions and
{R}iemann-{L}iouville processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {39},
year = {2011},
number = {2},
pages = {729--778},
issn = {0091-1798},
mrclass = {60G22 (60F10 60G15 60G18 60J55)},
mrnumber = {2789511},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1214/10-AOP566},
url = {https://doi.org/10.1214/10-AOP566}
}
@Article{ chen.li.ea:15:on,
author = {Chen, Pengyu and Li, Yongxiang and Zhang, Xuping},
title = {On the initial value problem of fractional stochastic
evolution equations in {H}ilbert spaces},
journal = {Commun. Pure Appl. Anal.},
fjournal = {Communications on Pure and Applied Analysis},
volume = {14},
year = {2015},
number = {5},
pages = {1817--1840},
issn = {1534-0392,1553-5258},
mrclass = {60H15 (26A33 34A08 34G20 35R11 35R60)},
mrnumber = {3359546},
mrreviewer = {Le\ Chen},
doi = {10.3934/cpaa.2015.14.1817},
url = {https://doi.org/10.3934/cpaa.2015.14.1817}
}
@InCollection{ chen.li:02:limiting,
author = {Chen, Xia and Li, Wenbo V.},
title = {Limiting behaviors for {B}rownian motion reflected on
{B}rownian motion},
note = {Special issue dedicated to Daniel W. Stroock and Srinivasa
S. R. Varadhan on the occasion of their 60th birthday},
journal = {Methods Appl. Anal.},
fjournal = {Methods and Applications of Analysis},
volume = {9},
year = {2002},
number = {3},
pages = {377--391},
issn = {1073-2772},
mrclass = {60J65},
mrnumber = {2023131},
mrreviewer = {Robert G. Smits},
doi = {10.4310/MAA.2002.v9.n3.a5},
url = {https://doi.org/10.4310/MAA.2002.v9.n3.a5}
}
@Article{ chen.li:03:quadratic,
author = {Chen, Xia and Li, Wenbo V.},
title = {Quadratic functionals and small ball probabilities for the
{$m$}-fold integrated {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {2},
pages = {1052--1077},
issn = {0091-1798},
mrclass = {60G15 (60J25 60J60 60J65)},
mrnumber = {1964958},
mrreviewer = {Gh. Opri\c{s}an},
doi = {10.1214/aop/1048516545},
url = {https://doi.org/10.1214/aop/1048516545}
}
@InCollection{ chen.li:03:small,
author = {Chen, Xia and Li, Wenbo V.},
title = {Small deviation estimates for some additive processes},
booktitle = {High dimensional probability, {III} ({S}andjberg, 2002)},
series = {Progr. Probab.},
volume = {55},
pages = {225--238},
publisher = {Birkh\"{a}user, Basel},
year = {2003},
mrclass = {60G60 (60F15 60G17)},
mrnumber = {2033891},
mrreviewer = {Alexander V. Bulinskiu{i}}
}
@Article{ chen.li:04:large,
author = {Chen, Xia and Li, Wenbo V.},
title = {Large and moderate deviations for intersection local
times},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {128},
year = {2004},
number = {2},
pages = {213--254},
issn = {0178-8051},
mrclass = {60J55 (60B12 60F05 60F15 60F25 60G17 60J65)},
mrnumber = {2031226},
mrreviewer = {Hac\`ene Boutabia},
doi = {10.1007/s00440-003-0298-7},
url = {https://doi.org/10.1007/s00440-003-0298-7}
}
@Article{ chen.mak.ea:19:hierarchical,
title = {A hierarchical expected improvement method for {B}ayesian
optimization},
author = {Chen, Zhehui and Mak, Simon and Wu, C F J},
journal = {arXiv preprint arXiv:1911.07285},
year = {2019}
}
@Article{ chen.matano.ea:95:finite-point,
author = {Chen, Xu-Yan and Matano, Hiroshi and Mimura, Masayasu},
title = {Finite-point extinction and continuity of interfaces in a
nonlinear diffusion equation with strong absorption},
journal = {J. Reine Angew. Math.},
fjournal = {Journal f\"{u}r die Reine und Angewandte Mathematik.
[Crelle's Journal]},
volume = {459},
year = {1995},
pages = {1--36},
issn = {0075-4102},
mrclass = {35K55 (35B99)},
mrnumber = {1319515},
mrreviewer = {Elias Tuma},
doi = {10.1515/crll.1995.459.1},
url = {https://doi.org/10.1515/crll.1995.459.1}
}
@Article{ chen.matano:89:convergence,
author = {Chen, Xu-Yan and Matano, Hiroshi},
title = {Convergence, asymptotic periodicity, and finite-point
blow-up in one-dimensional semilinear heat equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {78},
year = {1989},
number = {1},
pages = {160--190},
issn = {0022-0396},
mrclass = {35B40 (35K55)},
mrnumber = {986159},
mrreviewer = {Victor A. Galaktionov},
doi = {10.1016/0022-0396(89)90081-8},
url = {https://doi.org/10.1016/0022-0396(89)90081-8}
}
@Article{ chen.meerschaert.ea:12:space-time,
author = {Chen, Zhen-Qing and Meerschaert, Mark M. and Nane, Erkan},
title = {Space-time fractional diffusion on bounded domains},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {393},
year = {2012},
number = {2},
pages = {479--488},
issn = {0022-247X},
mrclass = {35R11 (35D35)},
mrnumber = {2921690},
doi = {10.1016/j.jmaa.2012.04.032},
url = {https://doi.org/10.1016/j.jmaa.2012.04.032}
}
@Article{ chen.morters:09:upper,
author = {Chen, Xia and M\"{o}rters, Peter},
title = {Upper tails for intersection local times of random walks
in supercritical dimensions},
journal = {J. Lond. Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second
Series},
volume = {79},
year = {2009},
number = {1},
pages = {186--210},
issn = {0024-6107},
mrclass = {60F10 (60G50 60K35)},
mrnumber = {2472140},
mrreviewer = {Jean B\'{e}rard},
doi = {10.1112/jlms/jdn074},
url = {https://doi.org/10.1112/jlms/jdn074}
}
@Article{ chen.nourdin.ea:21:steins,
author = {Chen, Peng and Nourdin, Ivan and Xu, Lihu},
title = {Stein's method for asymmetric {$\alpha$}-stable
distributions, with application to the stable {CLT}},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {34},
year = {2021},
number = {3},
pages = {1382--1407},
issn = {0894-9840},
mrclass = {60E07 (60F05 60G52)},
mrnumber = {4289888},
mrreviewer = {Peter Kern},
doi = {10.1007/s10959-020-01004-1},
url = {https://doi.org/10.1007/s10959-020-01004-1}
}
@Article{ chen.nourdin.ea:22:non-integrable,
author = {Chen, Peng and Nourdin, Ivan and Xu, Lihu and Yang,
Xiaochuan and Zhang, Rui},
title = {Non-integrable stable approximation by {S}tein's method},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {35},
year = {2022},
number = {2},
pages = {1137--1186},
issn = {0894-9840},
mrclass = {60E07 (60F05 60G52)},
mrnumber = {4414414},
doi = {10.1007/s10959-021-01094-5},
url = {https://doi.org/10.1007/s10959-021-01094-5}
}
@Article{ chen.ouyang.ea:23:parabolic,
title = {Parabolic Anderson model with colored noise on torus},
author = {Le Chen and Cheng Ouyang and William Vickery},
year = {2023},
month = {August},
journal = {Preprint arXiv:2308.10802, to appear in Bernoulli},
url = {http://arXiv.org/abs/2308.10802}
}
@Article{ chen.ouyang.ea:24:on,
title = {On ergodic properties of stochastic {PDE}s},
author = {Le Chen and Cheng Ouyang and Samy Tindel and Panqiu Xia},
year = {2024},
pages = {1--45},
month = {December},
journal = {Preprint arXiv:2412.03521, to appear in Stochastic PDEs:
Analysis and Computations},
url = {http://arXiv.org/abs/2412.03521}
}
@Article{ chen.phan:19:free,
author = {Chen, Xia and Phan, Tuoc},
title = {Free energy in a mean field of {B}rownian particles},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {39},
year = {2019},
number = {2},
pages = {747--769},
issn = {1078-0947},
mrclass = {60J65 (60F10 60G55 60K37 60K40 81V35 82B10)},
mrnumber = {3918193},
doi = {10.3934/dcds.2019031},
url = {https://doi.org/10.3934/dcds.2019031}
}
@Article{ chen.qian.ea:98:stability,
author = {Chen, Zhen-Qing and Qian, Zhongmin and Hu, Yaozhong and
Zheng, Weian},
title = {Stability and approximations of symmetric diffusion
semigroups and kernels},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {152},
year = {1998},
number = {1},
pages = {255--280},
issn = {0022-1236},
mrclass = {60J60 (35A08 35J45 47D07)},
mrnumber = {1600084},
mrreviewer = {Zhi Ming Ma},
doi = {10.1006/jfan.1997.3147},
url = {https://doi.org/10.1006/jfan.1997.3147}
}
@Article{ chen.rosen:05:exponential,
author = {Chen, Xia and Rosen, Jay},
title = {Exponential asymptotics for intersection local times of
stable processes and random walks},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {41},
year = {2005},
number = {5},
pages = {901--928},
issn = {0246-0203},
mrclass = {60J55 (60G50 60G52)},
mrnumber = {2165257},
mrreviewer = {Ingo Fahrner},
doi = {10.1016/j.anihpb.2004.09.006},
url = {https://doi.org/10.1016/j.anihpb.2004.09.006}
}
@Article{ chen.rosen:10:large,
author = {Chen, Xia and Rosen, Jay},
title = {Large deviations and renormalization for {R}iesz
potentials of stable intersection measures},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {120},
year = {2010},
number = {9},
pages = {1837--1878},
issn = {0304-4149},
mrclass = {60F10 (60G51 60G52 60J55)},
mrnumber = {2673977},
mrreviewer = {Michele Zito},
doi = {10.1016/j.spa.2010.05.006},
url = {https://doi.org/10.1016/j.spa.2010.05.006}
}
@Article{ chen.ruau.ea:25:chemotaxis,
title = {Chemotaxis models with signal-dependent sensitivity and a
logistic-type source, I: Boundedness and global existence},
author = {Le Chen and Ian Ruau and Wenxian Shen},
year = {2025},
month = {December},
journal = {Preprint arXiv:2512.14858},
url = {http://arXiv.org/abs/2512.14858}
}
@InCollection{ chen.shao:05:steins,
author = {Chen, Louis H. Y. and Shao, Qi-Man},
title = {Stein's method for normal approximation},
booktitle = {An introduction to {S}tein's method},
series = {Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap.},
volume = {4},
pages = {1--59},
publisher = {Singapore Univ. Press, Singapore},
year = {2005},
mrclass = {62E17 (60E15 60F05)},
mrnumber = {2235448},
doi = {10.1142/9789812567680\_0001},
url = {https://doi.org/10.1142/9789812567680_0001}
}
@Article{ chen.song:25:small,
author = {Chen, Xia and Song, Jian},
title = {Small deviations for the mutual intersection local time of
{B}rownian motions},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {38},
year = {2025},
number = {1},
pages = {Paper No. 5, 19},
issn = {0894-9840,1572-9230},
mrclass = {60J55 (60F05 60J65)},
mrnumber = {4814787},
doi = {10.1007/s10959-024-01377-7},
url = {https://doi.org/10.1007/s10959-024-01377-7}
}
@Article{ chen.song:97:intrinsic,
author = {Chen, Zhen-Qing and Song, Renming},
title = {Intrinsic ultracontractivity and conditional gauge for
symmetric stable processes},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {150},
year = {1997},
number = {1},
pages = {204--239},
issn = {0022-1236},
mrclass = {60J30 (60J35 60J45)},
mrnumber = {1473631},
mrreviewer = {Zhong Xin Zhao},
doi = {10.1006/jfan.1997.3104},
url = {https://doi.org/10.1006/jfan.1997.3104}
}
@Article{ chen.wu.ea:15:smoothness,
author = {Chen, Zhenlong and Wu, Dongsheng and Xiao, Yimin},
title = {Smoothness of local times and self-intersection local
times of {G}aussian random fields},
journal = {Front. Math. China},
fjournal = {Frontiers of Mathematics in China},
volume = {10},
year = {2015},
number = {4},
pages = {777--805},
issn = {1673-3452,1673-3576},
mrclass = {60G15 (60H05 60H07)},
mrnumber = {3352887},
mrreviewer = {Zbigniew\ Andrzej\ \L agodowski},
doi = {10.1007/s11464-015-0487-6},
url = {https://doi.org/10.1007/s11464-015-0487-6}
}
@Article{ chen.xia:23:asymptotic,
title = {Asymptotic properties of stochastic partial differential
equations in the sublinear regime},
author = {Le Chen and Panqiu Xia},
year = {2023},
month = {June},
journal = {Preprint arXiv:2306.06761, to appear in Annals of
Probability},
url = {http://arXiv.org/abs/2306.06761}
}
@Article{ chen.xiao:12:on,
author = {Chen, ZhenLong and Xiao, YiMin},
title = {On intersections of independent anisotropic {G}aussian
random fields},
journal = {Sci. China Math.},
fjournal = {Science China. Mathematics},
volume = {55},
year = {2012},
number = {11},
pages = {2217--2232},
issn = {1674-7283,1869-1862},
mrclass = {60G15 (60G17 60G60)},
mrnumber = {2994115},
mrreviewer = {Xianmin\ Geng},
doi = {10.1007/s11425-012-4521-9},
url = {https://doi.org/10.1007/s11425-012-4521-9}
}
@Article{ chen.xiong:15:annealed,
author = {Chen, Xia and Xiong, Jie},
title = {Annealed asymptotics for {B}rownian motion of renormalized
potential in mobile random medium},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {28},
year = {2015},
number = {4},
pages = {1601--1650},
issn = {0894-9840},
mrclass = {60J45 (60G55 60J65 60K37)},
mrnumber = {3422944},
mrreviewer = {Francis Comets},
doi = {10.1007/s10959-014-0558-8},
url = {https://doi.org/10.1007/s10959-014-0558-8}
}
@Article{ chen.yan.ea:10:on,
author = {Chen, Yan and Yan, Ying and Zhang, Kewei},
title = {On the local fractional derivative},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {362},
year = {2010},
number = {1},
pages = {17--33},
issn = {0022-247X},
mrclass = {26A33},
mrnumber = {2557664},
mrreviewer = {Vanna Zanelli},
doi = {10.1016/j.jmaa.2009.08.014},
url = {https://doi.org/10.1016/j.jmaa.2009.08.014}
}
@Article{ chen.zhai.ea:24:well-posedness,
title = {Well-Posedness of Stochastic Chemotaxis System},
author = {Yunfeng Chen and Jianliang Zhai and Tusheng Zhang},
year = {2024},
month = {November},
journal = {Preprint arXiv:2411.01847},
url = {http://arXiv.org/abs/2411.01847}
}
@Article{ chen.zhang:09:time-reversal,
author = {Chen, Zhen-Qing and Zhang, Tusheng},
title = {Time-reversal and elliptic boundary value problems},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {3},
pages = {1008--1043},
issn = {0091-1798},
mrclass = {60J70 (35J25 60H05 60J57)},
mrnumber = {2537548},
mrreviewer = {Raouf Ghomrasni},
doi = {10.1214/08-AOP427},
url = {https://doi.org/10.1214/08-AOP427}
}
@Article{ chen.zhang:11:stochastic,
author = {Chen, Zhen-Qing and Zhang, Tusheng},
title = {Stochastic evolution equations driven by {L}\'{e}vy
processes},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {48},
year = {2011},
number = {2},
pages = {311--327},
issn = {0030-6126},
mrclass = {60H15 (60G51)},
mrnumber = {2831975},
mrreviewer = {Viorica M. Ungureanu},
url = {http://projecteuclid.org/euclid.ojm/1315318342}
}
@Article{ chen.zhang:14:probabilistic,
author = {Chen, Zhen-Qing and Zhang, Tusheng},
title = {A probabilistic approach to mixed boundary value problems
for elliptic operators with singular coefficients},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {142},
year = {2014},
number = {6},
pages = {2135--2149},
issn = {0002-9939},
mrclass = {60H15 (35A01 35A02 35J25 60H30)},
mrnumber = {3182031},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1090/S0002-9939-2014-11907-1},
url = {https://doi.org/10.1090/S0002-9939-2014-11907-1}
}
@Article{ chen.zili:15:one-dimensional,
author = {Chen, Zhen-Qing and Zili, Mounir},
title = {One-dimensional heat equation with discontinuous
conductance},
journal = {Sci. China Math.},
fjournal = {Science China. Mathematics},
volume = {58},
year = {2015},
number = {1},
pages = {97--108},
issn = {1674-7283,1869-1862},
mrclass = {60H10 (35K08 35K10 60J55)},
mrnumber = {3296333},
mrreviewer = {Dejun\ Luo},
doi = {10.1007/s11425-014-4912-1},
url = {https://doi.org/10.1007/s11425-014-4912-1}
}
@Article{ chen:00:chungs,
author = {Chen, Xia},
title = {Chung's law for additive functionals of positive recurrent
{M}arkov chains},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {47},
year = {2000},
number = {3},
pages = {253--264},
issn = {0167-7152},
mrclass = {60F15 (60J05)},
mrnumber = {1747486},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1016/S0167-7152(99)00163-7},
url = {https://doi.org/10.1016/S0167-7152(99)00163-7}
}
@Article{ chen:00:on,
author = {Chen, Xia},
title = {On the limit laws of the second order for additive
functionals of {H}arris recurrent {M}arkov chains},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {116},
year = {2000},
number = {1},
pages = {89--123},
issn = {0178-8051},
mrclass = {60J05 (60F05 60F15)},
mrnumber = {1736591},
doi = {10.1007/PL00008724},
url = {https://doi.org/10.1007/PL00008724}
}
@InCollection{ chen:00:on*1,
author = {Chen, Xia},
title = {On the law of the iterated logarithm for local times of
recurrent random walks},
booktitle = {High dimensional probability, {II} ({S}eattle, {WA},
1999)},
series = {Progr. Probab.},
volume = {47},
pages = {249--259},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2000},
mrclass = {60F15 (60J55)},
mrnumber = {1857326},
mrreviewer = {Ingemar Kaj}
}
@Article{ chen:01:exact,
author = {Chen, Xia},
title = {Exact convergence rates for the distribution of particles
in branching random walks},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {11},
year = {2001},
number = {4},
pages = {1242--1262},
issn = {1050-5164},
mrclass = {60J80 (60F15 60F25 60G50)},
mrnumber = {1878297},
mrreviewer = {M. Iosifescu},
doi = {10.1214/aoap/1015345402},
url = {https://doi.org/10.1214/aoap/1015345402}
}
@Article{ chen:01:moderate,
author = {Chen, Xia},
title = {Moderate deviations for {M}arkovian occupation times},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {94},
year = {2001},
number = {1},
pages = {51--70},
issn = {0304-4149},
mrclass = {60F10 (60F15 60J55)},
mrnumber = {1835845},
mrreviewer = {Gh. Opri\c{s}an},
doi = {10.1016/S0304-4149(01)00079-5},
url = {https://doi.org/10.1016/S0304-4149(01)00079-5}
}
@Article{ chen:04:exponential,
author = {Chen, Xia},
title = {Exponential asymptotics and law of the iterated logarithm
for intersection local times of random walks},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {4},
pages = {3248--3300},
issn = {0091-1798},
mrclass = {60J55 (60B12 60F10 60F15 60G50 60J65)},
mrnumber = {2094445},
mrreviewer = {Nadine Guillotin-Plantard},
doi = {10.1214/009117904000000513},
url = {https://doi.org/10.1214/009117904000000513}
}
@Book{ chen:05:finite,
author = {Chen, Zhangxin},
title = {Finite element methods and their applications},
series = {Scientific Computation},
publisher = {Springer-Verlag, Berlin},
year = {2005},
pages = {xiv+410},
isbn = {978-3-540-24078-5; 3-540-24078-0},
mrclass = {65-02 (65M60 65N30)},
mrnumber = {2158541},
mrreviewer = {Stefka N. Dimova}
}
@Article{ chen:05:moderate,
author = {Chen, Xia},
title = {Moderate deviations and law of the iterated logarithm for
intersections of the ranges of random walks},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {3},
pages = {1014--1059},
issn = {0091-1798},
mrclass = {60F10 (60F15 60G50 60J10)},
mrnumber = {2135311},
mrreviewer = {S. A. Book},
doi = {10.1214/009117905000000035},
url = {https://doi.org/10.1214/009117905000000035}
}
@Article{ chen:06:moderate,
author = {Chen, Xia},
title = {Moderate and small deviations for the ranges of
one-dimensional random walks},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {19},
year = {2006},
number = {3},
pages = {721--739},
issn = {0894-9840},
mrclass = {60F10 (60F15 60G50)},
mrnumber = {2280517},
mrreviewer = {S. A. Book},
doi = {10.1007/s10959-006-0032-3},
url = {https://doi.org/10.1007/s10959-006-0032-3}
}
@Article{ chen:06:self-intersection,
author = {Chen, Xia},
title = {Self-intersection local times of additive processes: large
deviation and law of the iterated logarithm},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {116},
year = {2006},
number = {9},
pages = {1236--1253},
issn = {0304-4149},
mrclass = {60F10 (60F15 60G52 60J55)},
mrnumber = {2251543},
doi = {10.1016/j.spa.2006.02.001},
url = {https://doi.org/10.1016/j.spa.2006.02.001}
}
@Article{ chen:07:large,
author = {Chen, Xia},
title = {Large deviations and laws of the iterated logarithm for
the local times of additive stable processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {2},
pages = {602--648},
issn = {0091-1798},
mrclass = {60G52 (60F10 60F15 60J55)},
mrnumber = {2308590},
mrreviewer = {Peter M\"{o}rters},
doi = {10.1214/009117906000000601},
url = {https://doi.org/10.1214/009117906000000601}
}
@Article{ chen:07:moderate,
author = {Chen, Xia},
title = {Moderate deviations and laws of the iterated logarithm for
the local times of additive {L}\'{e}vy processes and
additive random walks},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {3},
pages = {954--1006},
issn = {0091-1798},
mrclass = {60F10 (60F15 60G52 60J55)},
mrnumber = {2319713},
mrreviewer = {Firas Rassoul-Agha},
doi = {10.1214/009117906000000520},
url = {https://doi.org/10.1214/009117906000000520}
}
@InCollection{ chen:08:intersection,
author = {Chen, Xia},
title = {Intersection local times: large deviations and laws of the
iterated logarithm},
booktitle = {Asymptotic theory in probability and statistics with
applications},
series = {Adv. Lect. Math. (ALM)},
volume = {2},
pages = {195--253},
publisher = {Int. Press, Somerville, MA},
year = {2008},
mrclass = {60J55 (60F10 60F15)},
mrnumber = {2466987},
mrreviewer = {Peter M\"{o}rters}
}
@Article{ chen:08:limit,
author = {Chen, Xia},
title = {Limit laws for the energy of a charged polymer},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {44},
year = {2008},
number = {4},
pages = {638--672},
issn = {0246-0203},
mrclass = {60F05 (60F10 60F15 82D60)},
mrnumber = {2446292},
mrreviewer = {Firas Rassoul-Agha},
doi = {10.1214/07-AIHP120},
url = {https://doi.org/10.1214/07-AIHP120}
}
@Book{ chen:10:random,
author = {Chen, Xia},
title = {Random walk intersections},
series = {Mathematical Surveys and Monographs},
volume = {157},
note = {Large deviations and related topics},
publisher = {American Mathematical Society, Providence, RI},
year = {2010},
pages = {x+332},
isbn = {978-0-8218-4820-3},
mrclass = {60F10 (60G50 60J55)},
mrnumber = {2584458},
mrreviewer = {Ofer Zeitouni},
doi = {10.1090/surv/157},
url = {https://doi.org/10.1090/surv/157}
}
@Article{ chen:12:quenched,
author = {Chen, Xia},
title = {Quenched asymptotics for {B}rownian motion of renormalized
{P}oisson potential and for the related parabolic
{A}nderson models},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {4},
pages = {1436--1482},
issn = {0091-1798},
mrclass = {60J65 (60F10 60G55 60K37 60K40)},
mrnumber = {2978130},
mrreviewer = {J\'{a}nos Engl\"{a}nder},
doi = {10.1214/11-AOP655},
url = {https://doi.org/10.1214/11-AOP655}
}
@Article{ chen:13:moments,
title = {Moments, Intermittency, and Growth Indices for Nonlinear
Stochastic PDE's with Rough Initial Conditions},
author = {Chen, Le},
journal = {EPFL Ph.D. Thesis},
institution = {MATHAA},
publisher = {EPFL},
address = {Lausanne},
year = {2013},
url = {http://infoscience.epfl.ch/record/185885},
doi = {10.5075/epfl-thesis-5712}
}
@Article{ chen:14:quenched,
author = {Chen, Xia},
title = {Quenched asymptotics for {B}rownian motion in generalized
{G}aussian potential},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {2},
pages = {576--622},
issn = {0091-1798},
mrclass = {60J65 (60F10 60K37 60K40)},
mrnumber = {3178468},
mrreviewer = {Rongfeng Sun},
doi = {10.1214/12-AOP830},
url = {https://doi.org/10.1214/12-AOP830}
}
@Article{ chen:15:limit,
author = {Chen, Xia},
title = {The limit law of the iterated logarithm},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {28},
year = {2015},
number = {2},
pages = {721--725},
issn = {0894-9840},
mrclass = {60F15 (60G10 60G15 60G50)},
mrnumber = {3370672},
mrreviewer = {Erich Haeusler},
doi = {10.1007/s10959-013-0481-4},
url = {https://doi.org/10.1007/s10959-013-0481-4}
}
@Article{ chen:15:pathwise,
author = {Chen, Yu-Ting},
title = {Pathwise nonuniqueness for the {SPDE}s of some
super-{B}rownian motions with immigration},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {6},
pages = {3359--3467},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (35A02 35R60 60J68)},
mrnumber = {3433584},
mrreviewer = {Hui\ He},
doi = {10.1214/14-AOP962},
url = {https://doi.org/10.1214/14-AOP962}
}
@Article{ chen:15:precise,
author = {Chen, Xia},
title = {Precise intermittency for the parabolic {A}nderson
equation with an {$(1+1)$}-dimensional time-space white
noise},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {51},
year = {2015},
number = {4},
pages = {1486--1499},
issn = {0246-0203},
mrclass = {60F10 (60H15 60J65 81U10)},
mrnumber = {3414455},
mrreviewer = {Leila Setayeshgar},
doi = {10.1214/15-AIHP673},
url = {https://doi.org/10.1214/15-AIHP673}
}
@Article{ chen:16:spatial,
author = {Chen, Xia},
title = {Spatial asymptotics for the parabolic {A}nderson models
with generalized time-space {G}aussian noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {2},
pages = {1535--1598},
issn = {0091-1798},
mrclass = {60J65 (60F10 60G55 60K37 60K40)},
mrnumber = {3474477},
mrreviewer = {Mathew Joseph},
doi = {10.1214/15-AOP1006},
url = {https://doi.org/10.1214/15-AOP1006}
}
@Article{ chen:16:third,
title = {The third moment for the parabolic Anderson model},
author = {Le Chen},
year = {2016},
month = {September},
journal = {Preprint arXiv:1609.01005},
url = {https://www.arxiv.org/abs/1609.01005}
}
@Article{ chen:17:acknowledgment,
author = {Chen, Xia},
title = {Acknowledgment of priority: ``{T}he limit law of the
iterated logarithm'' [ {MR}3370672]},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {30},
year = {2017},
number = {2},
pages = {700},
issn = {0894-9840},
mrclass = {60F15 (60G10 60G15 60G50)},
mrnumber = {3647077},
doi = {10.1007/s10959-015-0649-1},
url = {https://doi.org/10.1007/s10959-015-0649-1}
}
@Article{ chen:17:moment,
author = {Chen, Xia},
title = {Moment asymptotics for parabolic {A}nderson equation with
fractional time-space noise: in {S}korokhod regime},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {53},
year = {2017},
number = {2},
pages = {819--841},
issn = {0246-0203},
mrclass = {60F10 (60H15 60H40 60J65 81U10)},
mrnumber = {3634276},
mrreviewer = {Mathew Joseph},
doi = {10.1214/15-AIHP738},
url = {https://doi.org/10.1214/15-AIHP738}
}
@Article{ chen:17:nonlinear,
author = {Chen, Le},
title = {Nonlinear stochastic time-fractional diffusion equations
on {$\Bbb{R}$}: moments, {H}\"{o}lder regularity and
intermittency},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {369},
year = {2017},
number = {12},
pages = {8497--8535},
issn = {0002-9947},
mrclass = {60H15 (35R11 35R60 60G60)},
mrnumber = {3710633},
mrreviewer = {Feng-Yu Wang},
doi = {10.1090/tran/6951},
url = {https://doi.org/10.1090/tran/6951}
}
@Article{ chen:19:parabolic,
author = {Chen, Xia},
title = {Parabolic {A}nderson model with rough or critical
{G}aussian noise},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {55},
year = {2019},
number = {2},
pages = {941--976},
issn = {0246-0203},
mrclass = {60H15 (60G22 60H07 60H40 60J65)},
mrnumber = {3949959},
mrreviewer = {Georgiy M. Shevchenko},
doi = {10.1214/18-aihp904},
url = {https://doi.org/10.1214/18-aihp904}
}
@Article{ chen:20:condition,
author = {Chen, X.},
title = {Condition for intersection occupation measure to be
absolutely continuous},
journal = {Ukra\"{i}n. Mat. Zh.},
fjournal = {Nats\={i}onal{\cprime}na Akadem\={i}ya Nauk Ukra\"{i}ni.
\={I}nstitut Matematiki. Ukra\"{i}ns{\cprime}kiu{i}
Matematichniu{i} Zhurnal},
volume = {72},
year = {2020},
number = {9},
pages = {1304--1312},
issn = {1027-3190},
mrclass = {60G30 (60G10)},
mrnumber = {4207069},
doi = {10.37863/umzh.v72i9.6278},
url = {https://doi.org/10.37863/umzh.v72i9.6278}
}
@Article{ chen:20:parabolic,
author = {Chen, Xia},
title = {Parabolic {A}nderson model with a fractional {G}aussian
noise that is rough in time},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {56},
year = {2020},
number = {2},
pages = {792--825},
issn = {0246-0203},
mrclass = {60F10 (60H15 60H40 60J65)},
mrnumber = {4076766},
mrreviewer = {Kunwoo Kim},
doi = {10.1214/19-AIHP983},
url = {https://doi.org/10.1214/19-AIHP983}
}
@Misc{ chen:23:awards,
author = {Le Chen},
title = {Awards from {National Science Foundation (NSF)} with a
Focus on Division of Mathematical Sciences {(DMS)}},
month = {nov},
year = {2023},
publisher = {GitHub \& Zenodo},
journal = {GitHub repository},
doi = {10.5281/zenodo.10206801},
url = {https://github.com/chenle02/NSF-Awards}
}
@Article{ chen:23:chungs,
author = {Chen, Jiaming},
title = {Chung's law of the iterated logarithm for a class of
stochastic heat equations},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {28},
year = {2023},
pages = {Paper No. 35, 7},
mrclass = {60H15 (60F15 60G17)},
mrnumber = {4651160}
}
@Article{ chen:23:exponential,
author = {Chen, Xia},
title = {Exponential asymptotics for {B}rownian self-intersection
local times under {D}alang's condition},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {28},
year = {2023},
pages = {Paper No. 119, 17},
issn = {1083-6489},
mrclass = {60F10 (60G15 60J65)},
mrnumber = {4660700},
mrreviewer = {Thorsten\ Dickhaus},
doi = {10.1214/23-ejp985},
url = {https://doi.org/10.1214/23-ejp985}
}
@Misc{ chen:23:financial,
author = {Le Chen},
title = {Financial Mathematics: Open Slides},
month = {nov},
year = {2023},
publisher = {GitHub \& Zenodo},
journal = {GitHub repository},
doi = {10.5281/zenodo.10207028},
url = {https://github.com/chenle02/Open_Slides_Financial_Mathematics}
}
@Misc{ chen:23:graduate,
author = {Le Chen},
title = {Graduate Student Seminars by {Le Chen}},
month = {nov},
year = {2023},
publisher = {GitHub \& Zenodo},
journal = {GitHub repository},
doi = {10.5281/zenodo.10206966},
url = {https://github.com/chenle02/Graduate_Student_Seminars_by_Le_Chen}
}
@Misc{ chen:23:open,
author = {Le Chen},
title = {Open slides for linear algebra},
month = {nov},
year = {2023},
publisher = {GitHub \& Zenodo},
journal = {GitHub repository},
doi = {10.5281/zenodo.10206020},
url = {https://github.com/chenle02/Open_Slides_for_Linear_Algebra}
}
@Misc{ chen:23:probability,
author = {Le Chen},
title = {Probability: Summer Science Institute at {Auburn}},
month = {nov},
year = {2023},
publisher = {GitHub \& Zenodo},
journal = {GitHub repository},
doi = {10.5281/zenodo.10206799},
url = {https://github.com/chenle02/2022_SSI-AU_Probability_by_Le}
}
@Misc{ chen:23:spdes-bib,
author = {Le Chen},
title = {{SPDEs-Bib}: A Comprehensive Bibliography of Stochastic
Partial Differential Equations and Related Topics},
month = {nov},
year = {2023},
publisher = {GitHub, Zenodo \& Read the Docs},
journal = {GitHub repository},
doi = {10.5281/zenodo.10143431},
url = {https://spdes-bib.readthedocs.io}
}
@Misc{ chen:23:statistics,
author = {Le Chen},
title = {Statistics: Open Slides},
month = {nov},
year = {2023},
publisher = {GitHub \& Zenodo},
journal = {GitHub repository},
doi = {10.5281/zenodo.10206720},
url = {https://github.com/chenle02/Open_Slides_Statistics}
}
@Article{ chen:24:feynman-kac,
author = {Chen, Xia},
title = {Feynman-{K}ac representation for parabolic {A}nderson
equations with general {G}aussian noise},
note = {Reprint of Ukra\"in. Mat. Zh. {\bf 75} (2023), no. 11,
1552--1569},
journal = {Ukrainian Math. J.},
fjournal = {Ukrainian Mathematical Journal},
volume = {75},
year = {2024},
number = {11},
pages = {1758--1777},
issn = {0041-5995,1573-9376},
mrclass = {60H15 (35K05 35R60 60H30)},
mrnumber = {4747121},
mrreviewer = {Jiang\ Lun\ Wu}
}
@Article{ chen:24:small,
author = {Chen, Jiaming},
title = {Small ball probabilities for the stochastic heat equation
with colored noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {177},
year = {2024},
pages = {Paper No. 104455, 22},
issn = {0304-4149,1879-209X},
mrclass = {60H15 (60G60)},
mrnumber = {4782455},
mrreviewer = {Cheuk\ Yin\ Lee},
doi = {10.1016/j.spa.2024.104455},
url = {https://doi.org/10.1016/j.spa.2024.104455}
}
@Article{ chen:90:moderate,
author = {Chen, Xia},
title = {Moderate deviations of {$B$}-valued independent random
vectors},
journal = {Chinese Ann. Math. Ser. A},
fjournal = {Chinese Annals of Mathematics. Series A. Shuxue Niankan. A
Ji},
volume = {11},
year = {1990},
number = {5},
pages = {621--629},
issn = {1000-8314},
mrclass = {60B12 (60F10)},
mrnumber = {1092054},
mrreviewer = {Zheng Yan Lin}
}
@Article{ chen:91:moderate,
author = {Chen, Xia},
title = {Moderate deviations of independent random vectors in a
{B}anach space},
journal = {Chinese J. Appl. Probab. Statist.},
fjournal = {Chinese Journal of Applied Probability and Statistics.
Yingyong Gail\"{u} Tongji},
volume = {7},
year = {1991},
number = {1},
pages = {24--32},
mrclass = {60B12 (60F10)},
mrnumber = {1204537}
}
@Article{ chen:93:kolmogorovs,
author = {Chen, Xia},
title = {Kolmogorov's law of the iterated logarithm for
{$B$}-valued random elements and empirical processes},
journal = {Acta Math. Sinica},
fjournal = {Acta Mathematica Sinica. Shuxue Xuebao},
volume = {36},
year = {1993},
number = {5},
pages = {600--619},
issn = {0583-1431},
mrclass = {60B12 (60F15)},
mrnumber = {1261945},
mrreviewer = {Deli Li}
}
@Article{ chen:93:on,
author = {Chen, Xia},
title = {On the law of the iterated logarithm for independent
{B}anach space valued random variables},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {21},
year = {1993},
number = {4},
pages = {1991--2011},
issn = {0091-1798},
mrclass = {60B12 (60F15)},
mrnumber = {1245298},
mrreviewer = {Iosif Pinelis},
url = {http://links.jstor.org/sici?sici=0091-1798(199310)21:4<1991:OTLOTI>2.0.CO;2-#&origin=MSN}
}
@Article{ chen:94:on,
author = {Chen, Xia},
title = {On {S}trassen's law of the iterated logarithm in {B}anach
space},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {2},
pages = {1026--1043},
issn = {0091-1798},
mrclass = {60B12 (60F15)},
mrnumber = {1288141},
mrreviewer = {Igor S. Borisov},
url = {http://links.jstor.org/sici?sici=0091-1798(199404)22:2<1026:OSLOTI>2.0.CO;2-S&origin=MSN}
}
@Article{ chen:95:fellers,
author = {Chen, Xia},
title = {Feller's law of the iterated logarithm in {B}anach
spaces},
journal = {Chinese Ann. Math. Ser. A},
fjournal = {Chinese Annals of Mathematics. Series A. Shuxue Niankan. A
Ji},
volume = {16},
year = {1995},
number = {2},
pages = {251--258},
issn = {1000-8314},
mrclass = {60B12 (60F15)},
mrnumber = {1341939}
}
@Article{ chen:97:law,
author = {Chen, Xia},
title = {The law of the iterated logarithm for {$m$}-dependent
{B}anach space valued random variables},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {10},
year = {1997},
number = {3},
pages = {695--732},
issn = {0894-9840},
mrclass = {60B12},
mrnumber = {1468400},
mrreviewer = {Nickolai A. Denis{\cprime}evskiu{i}},
doi = {10.1023/A:1022605812085},
url = {https://doi.org/10.1023/A:1022605812085}
}
@Book{ chen:97:limit,
author = {Chen, Xia},
title = {Limit theorems for functionals of ergodic {M}arkov chains
with general state space},
note = {Thesis (Ph.D.)--Case Western Reserve University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1997},
pages = {200},
isbn = {978-0591-63876-9},
mrclass = {Thesis},
mrnumber = {2696713},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9813015}
}
@Article{ chen:97:moderate,
author = {Chen, Xia},
title = {Moderate deviations for {$m$}-dependent random variables
with {B}anach space values},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {35},
year = {1997},
number = {2},
pages = {123--134},
issn = {0167-7152},
mrclass = {60B12 (60F10)},
mrnumber = {1483265},
mrreviewer = {Andrei I. Volodin},
doi = {10.1016/S0167-7152(97)00005-9},
url = {https://doi.org/10.1016/S0167-7152(97)00005-9}
}
@Article{ chen:99:how,
author = {Chen, Xia},
title = {How often does a {H}arris recurrent {M}arkov chain
recur?},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {27},
year = {1999},
number = {3},
pages = {1324--1346},
issn = {0091-1798},
mrclass = {60F05 (60F15 60G50 60J05)},
mrnumber = {1733150},
doi = {10.1214/aop/1022677449},
url = {https://doi.org/10.1214/aop/1022677449}
}
@Article{ chen:99:law,
author = {Chen, Xia},
title = {The law of the iterated logarithm for functionals of
{H}arris recurrent {M}arkov chains: self-normalization},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {12},
year = {1999},
number = {2},
pages = {421--445},
issn = {0894-9840},
mrclass = {60J05 (60F15)},
mrnumber = {1684752},
mrreviewer = {M. Cs\"{o}rg\H{o}},
doi = {10.1023/A:1021630228280},
url = {https://doi.org/10.1023/A:1021630228280}
}
@Article{ chen:99:limit,
author = {Chen, Xia},
title = {Limit theorems for functionals of ergodic {M}arkov chains
with general state space},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {139},
year = {1999},
number = {664},
pages = {xiv+203},
issn = {0065-9266},
mrclass = {60J05 (60F05 60F15)},
mrnumber = {1491814},
mrreviewer = {Esa Nummelin},
doi = {10.1090/memo/0664},
url = {https://doi.org/10.1090/memo/0664}
}
@Article{ chen:99:some,
author = {Chen, Xia},
title = {Some dichotomy results for functionals of {H}arris
recurrent {M}arkov chains},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {83},
year = {1999},
number = {1},
pages = {211--236},
issn = {0304-4149},
mrclass = {60J05 (60B11 60G40)},
mrnumber = {1705608},
doi = {10.1016/S0304-4149(99)00038-1},
url = {https://doi.org/10.1016/S0304-4149(99)00038-1}
}
@Article{ chenal.millet:97:uniform,
author = {Chenal, Fabien and Millet, Annie},
title = {Uniform large deviations for parabolic {SPDE}s and
applications},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {72},
year = {1997},
number = {2},
pages = {161--186},
issn = {0304-4149},
mrclass = {60F10 (35K60 35R60 60H15 60H20 60J25)},
mrnumber = {1486551},
mrreviewer = {Richard B. Sowers},
doi = {10.1016/S0304-4149(97)00091-4},
url = {https://doi.org/10.1016/S0304-4149(97)00091-4}
}
@Article{ cheng.hu.ea:20:generalized,
author = {Cheng, Yiying and Hu, Yaozhong and Long, Hongwei},
title = {Generalized moment estimators for {$\alpha$}-stable
{O}rnstein-{U}hlenbeck motions from discrete observations},
journal = {Stat. Inference Stoch. Process.},
fjournal = {Statistical Inference for Stochastic Processes. An
International Journal Devoted to Time Series Analysis and
the Statistics of Continuous Time Processes and Dynamical
Systems},
volume = {23},
year = {2020},
number = {1},
pages = {53--81},
issn = {1387-0874},
mrclass = {62F12 (60G52 62M05)},
mrnumber = {4072252},
mrreviewer = {Pavlina K. Jordanova},
doi = {10.1007/s11203-019-09201-4},
url = {https://doi.org/10.1007/s11203-019-09201-4}
}
@Article{ cheng.xiao:16:excursion,
author = {Cheng, Dan and Xiao, Yimin},
title = {Excursion probability of {G}aussian random fields on
sphere},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {22},
year = {2016},
number = {2},
pages = {1113--1130},
issn = {1350-7265,1573-9759},
mrclass = {60G60 (60G70)},
mrnumber = {3449810},
mrreviewer = {Kirstin\ Strokorb},
doi = {10.3150/14-BEJ688},
url = {https://doi.org/10.3150/14-BEJ688}
}
@Article{ cheng.xiao:16:mean,
author = {Cheng, Dan and Xiao, Yimin},
title = {The mean {E}uler characteristic and excursion probability
of {G}aussian random fields with stationary increments},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {2},
pages = {722--759},
issn = {1050-5164,2168-8737},
mrclass = {60G15 (60G60 60G70)},
mrnumber = {3476623},
mrreviewer = {Yizao\ Wang},
doi = {10.1214/15-AAP1101},
url = {https://doi.org/10.1214/15-AAP1101}
}
@Article{ cheridito.nualart:05:stochastic,
author = {Cheridito, Patrick and Nualart, David},
title = {Stochastic integral of divergence type with respect to
fractional {B}rownian motion with {H}urst parameter
{$Hin(0,{1\over2})$}},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {41},
year = {2005},
number = {6},
pages = {1049--1081},
issn = {0246-0203},
mrclass = {60G15 (60H05 60H07)},
mrnumber = {2172209},
mrreviewer = {Giovanni Peccati},
doi = {10.1016/j.anihpb.2004.09.004},
url = {https://doi.org/10.1016/j.anihpb.2004.09.004}
}
@InCollection{ cherny.shiryaev:05:on,
author = {Cherny, Alexander and Shiryaev, Albert},
title = {On stochastic integrals up to infinity and predictable
criteria for integrability},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s {XXXVIII}},
series = {Lecture Notes in Math.},
volume = {1857},
pages = {165--185},
publisher = {Springer, Berlin},
year = {2005},
mrclass = {60H05 (60G25 91B28)},
mrnumber = {2126973},
mrreviewer = {Rainer Buckdahn},
doi = {10.1007/978-3-540-31449-3\_12},
url = {https://doi.org/10.1007/978-3-540-31449-3_12}
}
@Article{ chertock.epshteyn.ea:18:high-order,
author = {Chertock, Alina and Epshteyn, Yekaterina and Hu, Hengrui
and Kurganov, Alexander},
title = {High-order positivity-preserving hybrid
finite-volume-finite-difference methods for chemotaxis
systems},
journal = {Adv. Comput. Math.},
fjournal = {Advances in Computational Mathematics},
volume = {44},
year = {2018},
number = {1},
pages = {327--350},
issn = {1019-7168},
mrclass = {65M06 (35K51 35K57 65M08 65M12 92C17)},
mrnumber = {3755752},
mrreviewer = {Prabir K. Daripa},
doi = {10.1007/s10444-017-9545-9},
url = {https://doi.org/10.1007/s10444-017-9545-9}
}
@Article{ chertock.kurganov:08:second-order,
author = {Chertock, Alina and Kurganov, Alexander},
title = {A second-order positivity preserving central-upwind scheme
for chemotaxis and haptotaxis models},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {111},
year = {2008},
number = {2},
pages = {169--205},
issn = {0029-599X},
mrclass = {92C17 (65M06 76M12)},
mrnumber = {2456829},
doi = {10.1007/s00211-008-0188-0},
url = {https://doi.org/10.1007/s00211-008-0188-0}
}
@Article{ cheskidov:08:blow-up,
author = {Cheskidov, Alexey},
title = {Blow-up in finite time for the dyadic model of the
{N}avier-{S}tokes equations},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {360},
year = {2008},
number = {10},
pages = {5101--5120},
issn = {0002-9947},
mrclass = {35Q30 (35B41 35B44 35D30 37L30 37N10 76D03)},
mrnumber = {2415066},
mrreviewer = {Woodford W. Zachary},
doi = {10.1090/S0002-9947-08-04494-2},
url = {https://doi.org/10.1090/S0002-9947-08-04494-2}
}
@Article{ chetrite.delannoy.ea:07:kraichnan,
author = {Chetrite, Rapha\"{e}l and Delannoy, Jean-Yves and
Gaw\c{e}dzki, Krzysztof},
title = {Kraichnan flow in a square: an example of integrable
chaos},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {126},
year = {2007},
number = {6},
pages = {1165--1200},
issn = {0022-4715},
mrclass = {76F20 (76F55 76M35)},
mrnumber = {2312945},
mrreviewer = {Olivier Raimond},
doi = {10.1007/s10955-006-9225-5},
url = {https://doi.org/10.1007/s10955-006-9225-5}
}
@Article{ chevalier:76:independance,
author = {Chevalier, Jacques},
title = {Ind\'{e}pendance asymptotique de deux variables
al\'{e}atoires},
journal = {C. R. Acad. Sci. Paris S\'{e}r. A-B},
fjournal = {Comptes Rendus Hebdomadaires des S\'{e}ances de
l'Acad\'{e}mie des Sciences. S\'{e}ries A et B},
volume = {282},
year = {1976},
number = {8},
pages = {Aii, A439--A441},
issn = {0151-0509},
mrclass = {60F05 (62G30)},
mrnumber = {394811},
mrreviewer = {G. E. Noether}
}
@Article{ chevillard.garban.ea:19:on,
author = {Chevillard, Laurent and Garban, Christophe and Rhodes,
R\'emi and Vargas, Vincent},
title = {On a skewed and multifractal unidimensional random field,
as a probabilistic representation of {K}olmogorov's views
on turbulence},
journal = {Ann. Henri Poincar\'e},
fjournal = {Annales Henri Poincar\'e. A Journal of Theoretical and
Mathematical Physics},
volume = {20},
year = {2019},
number = {11},
pages = {3693--3741},
issn = {1424-0637,1424-0661},
mrclass = {60G60 (60G15 76F55)},
mrnumber = {4019201},
doi = {10.1007/s00023-019-00842-y},
url = {https://doi.org/10.1007/s00023-019-00842-y}
}
@Article{ chevillard.rhodes.ea:13:gaussian,
author = {Chevillard, Laurent and Rhodes, R\'emi and Vargas,
Vincent},
title = {Gaussian multiplicative chaos for symmetric isotropic
matrices},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {150},
year = {2013},
number = {4},
pages = {678--703},
issn = {0022-4715,1572-9613},
mrclass = {60G15 (60B20 60G60 76F05 76F55)},
mrnumber = {3024152},
doi = {10.1007/s10955-013-0697-9},
url = {https://doi.org/10.1007/s10955-013-0697-9}
}
@Article{ chhita.ferrari.ea:18:limit,
author = {Chhita, S. and Ferrari, P. L. and Spohn, H.},
title = {Limit distributions for {KPZ} growth models with spatially
homogeneous random initial conditions},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {28},
year = {2018},
number = {3},
pages = {1573--1603},
issn = {1050-5164},
mrclass = {82C24 (60K35 82C22 82C41)},
mrnumber = {3809472},
doi = {10.1214/17-AAP1338},
url = {https://doi.org/10.1214/17-AAP1338}
}
@InCollection{ chicheportiche.jaisson.ea:15:introduction,
author = {Chicheportiche, R\'emy and Jaisson, Thibault and
Mastromatteo, Iacopo and Vargas, Vincent},
title = {An introduction to econophysics and quantitative finance},
booktitle = {Mod\'elisation {A}l\'eatoire et
{S}tatistique---{J}ourn\'ees {MAS} 2014},
series = {ESAIM Proc. Surveys},
volume = {51},
pages = {320--336},
publisher = {EDP Sci., Les Ulis},
year = {2015},
mrclass = {91B80 (60F17 60G18 60G55 62P05 91G80)},
mrnumber = {3440804},
mrreviewer = {Jun-ichi\ Maskawa},
doi = {10.1051/proc/201551017},
url = {https://doi.org/10.1051/proc/201551017}
}
@Article{ childress.percus:81:nonlinear,
author = {Childress, S. and Percus, J. K.},
title = {Nonlinear aspects of chemotaxis},
journal = {Math. Biosci.},
fjournal = {Mathematical Biosciences},
volume = {56},
year = {1981},
number = {3-4},
pages = {217--237},
issn = {0025-5564},
mrclass = {92A09 (35K55)},
mrnumber = {632161},
mrreviewer = {John J. Tyson},
doi = {10.1016/0025-5564(81)90055-9},
url = {https://doi.org/10.1016/0025-5564(81)90055-9}
}
@Book{ childress:09:introduction,
author = {Childress, Stephen},
title = {An introduction to theoretical fluid mechanics},
series = {Courant Lecture Notes in Mathematics},
volume = {19},
publisher = {Courant Institute of Mathematical Sciences, New York;
American Mathematical Society, Providence, RI},
year = {2009},
pages = {x+201},
isbn = {978-0-8218-4888-3},
mrclass = {76-01 (35Q30 76A02 76B10 76D05)},
mrnumber = {2546940},
mrreviewer = {J\"{u}rgen Socolowsky},
doi = {10.1090/cln/019},
url = {https://doi.org/10.1090/cln/019}
}
@Article{ chiodaroli.feireisl.ea:21:ill-posedness,
author = {Chiodaroli, Elisabetta and Feireisl, Eduard and Flandoli,
Franco},
title = {Ill-posedness for the full {E}uler system driven by
multiplicative white noise},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {70},
year = {2021},
number = {4},
pages = {1267--1282},
issn = {0022-2518,1943-5258},
mrclass = {76N10 (35Q31 60H05 60H15)},
mrnumber = {4318474},
mrreviewer = {Olga\ S.\ Rozanova},
doi = {10.1512/iumj.2021.70.8591},
url = {https://doi.org/10.1512/iumj.2021.70.8591}
}
@Article{ chiyoda.mizukami.ea:20:finite-time,
author = {Chiyoda, Yuka and Mizukami, Masaaki and Yokota, Tomomi},
title = {Finite-time blow-up in a quasilinear degenerate chemotaxis
system with flux limitation},
journal = {Acta Appl. Math.},
fjournal = {Acta Applicandae Mathematicae},
volume = {167},
year = {2020},
pages = {231--259},
issn = {0167-8019},
mrclass = {92C17 (35B44 35K59 35K65 35M33 35Q92)},
mrnumber = {4103924},
mrreviewer = {Chunhua Jin},
doi = {10.1007/s10440-019-00275-z},
url = {https://doi.org/10.1007/s10440-019-00275-z}
}
@Article{ choi.jeong:21:classical,
author = {Choi, Young-Pil and Jeong, In-Jee},
title = {Classical solutions for fractional porous medium flow},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {210},
year = {2021},
pages = {Paper No. 112393, 13},
issn = {0362-546X},
mrclass = {35Q35},
mrnumber = {4253949},
doi = {10.1016/j.na.2021.112393},
url = {https://doi.org/10.1016/j.na.2021.112393}
}
@Article{ chojnowska-michalik.go-dys:95:existence,
author = {Chojnowska-Michalik, A. and Go\l dys, B.},
title = {Existence, uniqueness and invariant measures for
stochastic semilinear equations on {H}ilbert spaces},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {102},
year = {1995},
number = {3},
pages = {331--356},
issn = {0178-8051,1432-2064},
mrclass = {60H15},
mrnumber = {1339737},
mrreviewer = {Marek\ Capi\'nski},
doi = {10.1007/BF01192465},
url = {https://doi.org/10.1007/BF01192465}
}
@Article{ chojnowska-michalik.goldys:01:generalized,
author = {Chojnowska-Michalik, Anna and Goldys, Beniamin},
title = {Generalized {O}rnstein-{U}hlenbeck semigroups:
{L}ittlewood-{P}aley-{S}tein inequalities and the {P}. {A}.
{M}eyer equivalence of norms},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {182},
year = {2001},
number = {2},
pages = {243--279},
issn = {0022-1236,1096-0783},
mrclass = {47D07 (42B25 46E35 46G12 47N30 60J25)},
mrnumber = {1828795},
mrreviewer = {Marta\ Tyran-Kami\'nska},
doi = {10.1006/jfan.2000.3722},
url = {https://doi.org/10.1006/jfan.2000.3722}
}
@Article{ chojnowska-michalik.goldys:02:symmetric,
author = {Chojnowska-Michalik, Anna and Goldys, Beniamin},
title = {Symmetric {O}rnstein-{U}hlenbeck semigroups and their
generators},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {124},
year = {2002},
number = {4},
pages = {459--486},
issn = {0178-8051,1432-2064},
mrclass = {60H15 (60J60)},
mrnumber = {1942319},
mrreviewer = {Catherine\ Donati-Martin},
doi = {10.1007/s004400200222},
url = {https://doi.org/10.1007/s004400200222}
}
@Article{ chojnowska-michalik.goldys:96:nonsymmetric,
author = {Chojnowska-Michalik, Anna and Goldys, Beniamin},
title = {Nonsymmetric {O}rnstein-{U}hlenbeck semigroup as second
quantized operator},
journal = {J. Math. Kyoto Univ.},
fjournal = {Journal of Mathematics of Kyoto University},
volume = {36},
year = {1996},
number = {3},
pages = {481--498},
issn = {0023-608X},
mrclass = {60J35 (47D07)},
mrnumber = {1417822},
mrreviewer = {Joerg-Uwe\ Loebus},
doi = {10.1215/kjm/1250518505},
url = {https://doi.org/10.1215/kjm/1250518505}
}
@Article{ chong.dalang.ea:19:path,
author = {Chong, Carsten and Dalang, Robert C. and Humeau, Thomas},
title = {Path properties of the solution to the stochastic heat
equation with {L}\'{e}vy noise},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {7},
year = {2019},
number = {1},
pages = {123--168},
issn = {2194-0401},
mrclass = {60H15 (35K91 35R60 60G17 60G51 60G52)},
mrnumber = {3916265},
mrreviewer = {Omar Mellah},
doi = {10.1007/s40072-018-0124-y},
url = {https://doi.org/10.1007/s40072-018-0124-y}
}
@Article{ chong.dalang:23:power,
author = {Chong, Carsten and Dalang, Robert C.},
title = {Power variations in fractional {S}obolev spaces for a
class of parabolic stochastic {PDE}s},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {29},
year = {2023},
number = {3},
pages = {1792--1820},
issn = {1350-7265,1573-9759},
mrclass = {60H15 (35Kxx 35R50)},
mrnumber = {4580897},
mrreviewer = {Markus\ Kunze},
doi = {10.3150/22-bej1521},
url = {https://doi.org/10.3150/22-bej1521}
}
@Article{ chong.delerue:20:normal,
author = {Chong, Carsten and Delerue, Thomas},
title = {Normal approximation of the solution to the stochastic
heat equation with {L}\'{e}vy noise},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {8},
year = {2020},
number = {2},
pages = {362--401},
issn = {2194-0401,2194-041X},
mrclass = {60F05 (35K20 35R60 46E35 60F17 60G48 60G55 60H15)},
mrnumber = {4098871},
mrreviewer = {Rafa\l \ Marcin\ \L ochowski},
doi = {10.1007/s40072-019-00148-4},
url = {https://doi.org/10.1007/s40072-019-00148-4}
}
@Article{ chong.kevei:19:intermittency,
author = {Chong, Carsten and Kevei, P\'{e}ter},
title = {Intermittency for the stochastic heat equation with
{L}\'{e}vy noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {4},
pages = {1911--1948},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (35B40 35K15 35R60 37H15 60G51)},
mrnumber = {3980911},
mrreviewer = {Markus\ Kunze},
doi = {10.1214/18-AOP1297},
url = {https://doi.org/10.1214/18-AOP1297}
}
@Article{ chong.kevei:20:almost-sure,
author = {Chong, Carsten and Kevei, P\'{e}ter},
title = {The almost-sure asymptotic behavior of the solution to the
stochastic heat equation with {L}\'{e}vy noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {3},
pages = {1466--1494},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (35B40 60F15 60G17 60G55)},
mrnumber = {4112721},
mrreviewer = {Le\ Chen},
doi = {10.1214/19-AOP1401},
url = {https://doi.org/10.1214/19-AOP1401}
}
@Article{ chong.kevei:22:extremes,
author = {Chong, Carsten and Kevei, P\'{e}ter},
title = {Extremes of the stochastic heat equation with additive
{L}\'{e}vy noise},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {27},
year = {2022},
pages = {Paper No. 128, 21},
issn = {1083-6489},
mrclass = {60H15 (60F15 60G17 60G51 60G70)},
mrnumber = {4490411},
mrreviewer = {Jorge\ A.\ Le\'{o}n},
doi = {10.1214/22-ejp855},
url = {https://doi.org/10.1214/22-ejp855}
}
@Article{ chong.kevei:23:landscape,
author = {Chong, Carsten and Kevei, P\'{e}ter},
title = {A landscape of peaks: the intermittency islands of the
stochastic heat equation with {L}\'{e}vy noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {51},
year = {2023},
number = {4},
pages = {1449--1501},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (28A78 28A80 60F15 60G51 60G70)},
mrnumber = {4597324},
mrreviewer = {Isamu\ D\^{o}ku},
doi = {10.1214/23-aop1623},
url = {https://doi.org/10.1214/23-aop1623}
}
@Article{ chong.kluppelberg:15:integrability,
author = {Chong, Carsten and Kl\"{u}ppelberg, Claudia},
title = {Integrability conditions for space-time stochastic
integrals: theory and applications},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {21},
year = {2015},
number = {4},
pages = {2190--2216},
issn = {1350-7265,1573-9759},
mrclass = {60H05 (60G57 60H15 62M10)},
mrnumber = {3378464},
mrreviewer = {Vadym\ M.\ Radchenko},
doi = {10.3150/14-BEJ640},
url = {https://doi.org/10.3150/14-BEJ640}
}
@Article{ chong.kluppelberg:18:contagion,
author = {Chong, Carsten and Kl\"{u}ppelberg, Claudia},
title = {Contagion in financial systems: a {B}ayesian network
approach},
journal = {SIAM J. Financial Math.},
fjournal = {SIAM Journal on Financial Mathematics},
volume = {9},
year = {2018},
number = {1},
pages = {28--53},
issn = {1945-497X},
mrclass = {91B30 (62H99 62P20 91G40 91G80)},
mrnumber = {3744990},
mrreviewer = {Piotr\ Jaworski},
doi = {10.1137/17M1116659},
url = {https://doi.org/10.1137/17M1116659}
}
@Article{ chong.kluppelberg:19:partial,
author = {Chong, Carsten and Kl\"{u}ppelberg, Claudia},
title = {Partial mean field limits in heterogeneous networks},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {129},
year = {2019},
number = {12},
pages = {4998--5036},
issn = {0304-4149,1879-209X},
mrclass = {60B12 (05C80 60F10 60F25 60K35 82C22)},
mrnumber = {4025698},
mrreviewer = {Zhenfu\ Wang},
doi = {10.1016/j.spa.2018.12.018},
url = {https://doi.org/10.1016/j.spa.2018.12.018}
}
@Article{ chong:17:levy-driven,
author = {Chong, Carsten},
title = {L\'{e}vy-driven {V}olterra equations in space and time},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {30},
year = {2017},
number = {3},
pages = {1014--1058},
issn = {0894-9840,1572-9230},
mrclass = {60G60 (60G10 60G51 60G57 60H15 60H20)},
mrnumber = {3687248},
doi = {10.1007/s10959-015-0662-4},
url = {https://doi.org/10.1007/s10959-015-0662-4}
}
@Article{ chong:17:stochastic,
author = {Chong, Carsten},
title = {Stochastic {PDE}s with heavy-tailed noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {7},
pages = {2262--2280},
issn = {0304-4149,1879-209X},
mrclass = {60H15 (60G48 60G51 60G52 60G57 60G60 60H20)},
mrnumber = {3652413},
doi = {10.1016/j.spa.2016.10.011},
url = {https://doi.org/10.1016/j.spa.2016.10.011}
}
@Article{ chong:20:high-frequency,
author = {Chong, Carsten},
title = {High-frequency analysis of parabolic stochastic {PDE}s},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {48},
year = {2020},
number = {2},
pages = {1143--1167},
issn = {0090-5364,2168-8966},
mrclass = {62M40 (60H15 62G20)},
mrnumber = {4102691},
mrreviewer = {Mounir\ Zili},
doi = {10.1214/19-AOS1841},
url = {https://doi.org/10.1214/19-AOS1841}
}
@Article{ chorin.hald.ea:00:optimal,
author = {Chorin, Alexandre J. and Hald, Ole H. and Kupferman, Raz},
title = {Optimal prediction and the {M}ori-{Z}wanzig representation
of irreversible processes},
journal = {Proc. Natl. Acad. Sci. USA},
fjournal = {Proceedings of the National Academy of Sciences of the
United States of America},
volume = {97},
year = {2000},
number = {7},
pages = {2968--2973},
issn = {0027-8424,1091-6490},
mrclass = {82C35},
mrnumber = {1750741},
doi = {10.1073/pnas.97.7.2968},
url = {https://doi.org/10.1073/pnas.97.7.2968}
}
@Article{ chorin.hald.ea:02:optimal,
author = {Chorin, Alexandre J. and Hald, Ole H. and Kupferman, Raz},
title = {Optimal prediction with memory},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {166},
year = {2002},
number = {3-4},
pages = {239--257},
issn = {0167-2789,1872-8022},
mrclass = {62M20 (34F05 65C99 82C99 93A30)},
mrnumber = {1915310},
doi = {10.1016/S0167-2789(02)00446-3},
url = {https://doi.org/10.1016/S0167-2789(02)00446-3}
}
@Book{ chorin.hald:06:stochastic,
author = {Chorin, Alexandre J. and Hald, Ole H.},
title = {Stochastic tools in mathematics and science},
series = {Surveys and Tutorials in the Applied Mathematical
Sciences},
volume = {1},
publisher = {Springer, New York},
year = {2006},
pages = {viii+147},
isbn = {978-0387-28080-6; 0-387-28080-4},
mrclass = {60-01 (00A20 00A69 60H10 60H30 82-01 82B31 82C31)},
mrnumber = {2189824},
mrreviewer = {Mikhail\ V.\ Tretyakov}
}
@Article{ chorin.kast.ea:98:optimal,
author = {Chorin, Alexandre J. and Kast, Anton P. and Kupferman,
Raz},
title = {Optimal prediction of underresolved dynamics},
journal = {Proc. Natl. Acad. Sci. USA},
fjournal = {Proceedings of the National Academy of Sciences of the
United States of America},
volume = {95},
year = {1998},
number = {8},
pages = {4094--4098},
issn = {0027-8424,1091-6490},
mrclass = {65U05},
mrnumber = {1619894},
doi = {10.1073/pnas.95.8.4094},
url = {https://doi.org/10.1073/pnas.95.8.4094}
}
@Book{ chorin.marsden:79:mathematical,
author = {Chorin, A. J. and Marsden, J. E.},
title = {A mathematical introduction to fluid mechanics},
publisher = {Springer-Verlag, New York-Heidelberg},
year = {1979},
pages = {viii+205},
isbn = {0-387-90406-9},
mrclass = {76-02 (35Qxx 58-01)},
mrnumber = {551053},
mrreviewer = {B.\ Szafirski}
}
@Book{ chorin.marsden:90:mathematical,
author = {Chorin, A. J. and Marsden, J. E.},
title = {A mathematical introduction to fluid mechanics},
series = {Texts in Applied Mathematics},
volume = {4},
edition = {Second},
publisher = {Springer-Verlag, New York},
year = {1990},
pages = {viii+168},
isbn = {0-387-97300-1},
mrclass = {76-02 (35Qxx 58-01)},
mrnumber = {1058010},
doi = {10.1007/978-1-4684-0364-0},
url = {https://doi.org/10.1007/978-1-4684-0364-0}
}
@Book{ chorin.marsden:93:mathematical,
author = {Chorin, Alexandre J. and Marsden, Jerrold E.},
title = {A mathematical introduction to fluid mechanics},
series = {Texts in Applied Mathematics},
volume = {4},
edition = {Third},
publisher = {Springer-Verlag, New York},
year = {1993},
pages = {xii+169},
isbn = {0-387-97918-2},
mrclass = {76-02 (35Qxx)},
mrnumber = {1218879},
doi = {10.1007/978-1-4612-0883-9},
url = {https://doi.org/10.1007/978-1-4612-0883-9}
}
@Article{ chorin.mccracken.ea:78:product,
author = {Chorin, Alexandre J. and McCracken, Marjorie F. and
Hughes, Thomas J. R. and Marsden, Jerrold E.},
title = {Product formulas and numerical algorithms},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {31},
year = {1978},
number = {2},
pages = {205--256},
issn = {0010-3640,1097-0312},
mrclass = {65J05 (47D05 58D05)},
mrnumber = {488713},
mrreviewer = {Juhani\ Pitk\"aranta},
doi = {10.1002/cpa.3160310205},
url = {https://doi.org/10.1002/cpa.3160310205}
}
@Article{ chorin.morzfeld.ea:10:implicit,
author = {Chorin, Alexandre and Morzfeld, Matthias and Tu, Xuemin},
title = {Implicit particle filters for data assimilation},
journal = {Commun. Appl. Math. Comput. Sci.},
fjournal = {Communications in Applied Mathematics and Computational
Science},
volume = {5},
year = {2010},
number = {2},
pages = {221--240},
issn = {1559-3940,2157-5452},
mrclass = {60G35 (62M20)},
mrnumber = {2765384},
doi = {10.2140/camcos.2010.5.221},
url = {https://doi.org/10.2140/camcos.2010.5.221}
}
@Article{ chorin.stinis:06:problem,
author = {Chorin, Alexandre J. and Stinis, Panagiotis},
title = {Problem reduction, renormalization, and memory},
journal = {Commun. Appl. Math. Comput. Sci.},
fjournal = {Communications in Applied Mathematics and Computational
Science},
volume = {1},
year = {2006},
pages = {1--27},
issn = {1559-3940,2157-5452},
mrclass = {82C80 (65C05 70H05 76F30 82-02 82C05 82C28)},
mrnumber = {2244266},
mrreviewer = {Mikhail\ V.\ Tretyakov},
doi = {10.2140/camcos.2006.1.1},
url = {https://doi.org/10.2140/camcos.2006.1.1}
}
@Article{ chorin:67:numerical,
author = {Chorin, Alexandre Joel},
title = {The numerical solution of the {N}avier-{S}tokes equations
for an incompressible fluid},
journal = {Bull. Amer. Math. Soc.},
fjournal = {Bulletin of the American Mathematical Society},
volume = {73},
year = {1967},
pages = {928--931},
issn = {0002-9904},
mrclass = {76.65},
mrnumber = {216814},
mrreviewer = {I.\ O.\ Bohachevsky},
doi = {10.1090/S0002-9904-1967-11853-6},
url = {https://doi.org/10.1090/S0002-9904-1967-11853-6}
}
@Article{ chorin:67:numerical*1,
author = {Chorin, Alexandre Joel},
title = {A numerical method for solving incompressible viscous flow
problems},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {2},
year = {1967},
number = {1},
pages = {12--26},
issn = {0021-9991,1090-2716},
mrclass = {76M20 (65M60)},
mrnumber = {3960903},
doi = {10.1016/0021-9991(67)90037-X},
url = {https://doi.org/10.1016/0021-9991(67)90037-X}
}
@Article{ chorin:68:numerical,
author = {Chorin, Alexandre Joel},
title = {Numerical solution of the {N}avier-{S}tokes equations},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {22},
year = {1968},
pages = {745--762},
issn = {0025-5718,1088-6842},
mrclass = {65.68},
mrnumber = {242392},
mrreviewer = {R.\ Peyret},
doi = {10.2307/2004575},
url = {https://doi.org/10.2307/2004575}
}
@Article{ chorin:69:on,
author = {Chorin, Alexandre Joel},
title = {On the convergence of discrete approximations to the
{N}avier-{S}tokes equations},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {23},
year = {1969},
pages = {341--353},
issn = {0025-5718,1088-6842},
mrclass = {65.68},
mrnumber = {242393},
doi = {10.2307/2004428},
url = {https://doi.org/10.2307/2004428}
}
@Article{ chorin:73:numerical,
author = {Chorin, Alexandre Joel},
title = {Numerical study of slightly viscous flow},
journal = {J. Fluid Mech.},
fjournal = {Journal of Fluid Mechanics},
volume = {57},
year = {1973},
number = {4},
pages = {785--796},
issn = {0022-1120,1469-7645},
mrclass = {76.65},
mrnumber = {395483},
doi = {10.1017/S0022112073002016},
url = {https://doi.org/10.1017/S0022112073002016}
}
@Article{ chorin:76:random,
author = {Chorin, Alexandre Joel},
title = {Random choice solution of hyperbolic systems},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {22},
year = {1976},
number = {4},
pages = {517--533},
issn = {0021-9991,1090-2716},
mrclass = {65M05 (35L65 76.65)},
mrnumber = {471342},
mrreviewer = {H.\ C.\ Kranzer},
doi = {10.1016/0021-9991(76)90047-4},
url = {https://doi.org/10.1016/0021-9991(76)90047-4}
}
@Article{ chorin:77:random,
author = {Chorin, Alexandre Joel},
title = {Random choice methods with applications to reacting gas
flow},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {25},
year = {1977},
number = {3},
pages = {253--272},
issn = {0021-9991,1090-2716},
mrclass = {76.65},
mrnumber = {471617},
mrreviewer = {Nima\ Geffen},
doi = {10.1016/0021-9991(77)90101-2},
url = {https://doi.org/10.1016/0021-9991(77)90101-2}
}
@Book{ chorin:94:vorticity,
author = {Chorin, Alexandre J.},
title = {Vorticity and turbulence},
series = {Applied Mathematical Sciences},
volume = {103},
publisher = {Springer-Verlag, New York},
year = {1994},
pages = {viii+174},
isbn = {0-387-94197-5},
mrclass = {76F05 (35Q30 76-02 76C05 76D05 76M35)},
mrnumber = {1281384},
mrreviewer = {Wu\ Zhang},
doi = {10.1007/978-1-4419-8728-0},
url = {https://doi.org/10.1007/978-1-4419-8728-0}
}
@InCollection{ chorin:97:numerical,
author = {Chorin, Alexandre Joel},
title = {A numerical method for solving incompressible viscous flow
problems [{J}. {C}omput. {P}hys. {\bf 2} (1967), no. 1,
12--36]},
note = {With an introduction by Gerry Puckett, Commemoration of
the 30th anniversary \{of J. Comput. Phys.\}},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {135},
year = {1997},
number = {2},
pages = {115--125},
issn = {0021-9991,1090-2716},
mrclass = {76M20 (65M60)},
mrnumber = {1486266},
doi = {10.1006/jcph.1997.5716},
url = {https://doi.org/10.1006/jcph.1997.5716}
}
@Article{ chouk.gubinelli:15:nonlinear,
author = {Chouk, K. and Gubinelli, M.},
title = {Nonlinear {PDE}s with modulated dispersion {I}:
{N}onlinear {S}chr\"{o}dinger equations},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {40},
year = {2015},
number = {11},
pages = {2047--2081},
issn = {0360-5302},
mrclass = {35Q55 (35R60 60H15 60H99)},
mrnumber = {3418825},
mrreviewer = {Clemens F. Heitzinger},
doi = {10.1080/03605302.2015.1073300},
url = {https://doi.org/10.1080/03605302.2015.1073300}
}
@Article{ chouk.zuijlen:21:asymptotics,
author = {Chouk, Khalil and van Zuijlen, Willem},
title = {Asymptotics of the eigenvalues of the {A}nderson
{H}amiltonian with white noise potential in two
dimensions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {4},
pages = {1917--1964},
issn = {0091-1798},
mrclass = {60H25 (35P05 60F10 60F15 60L40)},
mrnumber = {4260471},
doi = {10.1214/20-aop1497},
url = {https://doi.org/10.1214/20-aop1497}
}
@Article{ choulli.kayser:17:remark,
author = {Choulli, Mourad and Kayser, Laurent},
title = {A remark on the {G}aussian lower bound for the {N}eumann
heat kernel of the {L}aplace-{B}eltrami operator},
journal = {Semigroup Forum},
fjournal = {Semigroup Forum},
volume = {94},
year = {2017},
number = {1},
pages = {71--79},
issn = {0037-1912},
mrclass = {58J35 (35K08 35R01)},
mrnumber = {3602832},
mrreviewer = {Peng Chen},
doi = {10.1007/s00233-015-9757-6},
url = {https://doi.org/10.1007/s00233-015-9757-6}
}
@Book{ chow.ea:06:hamiltons,
title = {Hamilton's Ricci flow},
author = {Chow, Bennett and others},
year = {2006},
publisher = {American Mathematical Soc.}
}
@Article{ chow.mallet-paret.ea:98:traveling,
author = {Chow, Shui-Nee and Mallet-Paret, John and Shen, Wenxian},
title = {Traveling waves in lattice dynamical systems},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {149},
year = {1998},
number = {2},
pages = {248--291},
issn = {0022-0396,1090-2732},
mrclass = {37L60 (34C23 35Q58 37G99)},
mrnumber = {1646240},
mrreviewer = {P.\ W.\ Bates},
doi = {10.1006/jdeq.1998.3478},
url = {https://doi.org/10.1006/jdeq.1998.3478}
}
@Article{ chow.shen.ea:07:dynamical,
author = {Chow, Shui-Nee and Shen, Wenxian and Zhou, Hao-Min},
title = {Dynamical order in systems of coupled noisy oscillators},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {19},
year = {2007},
number = {4},
pages = {1007--1036},
issn = {1040-7294,1572-9222},
mrclass = {60H10 (34C15 34F05 37H10)},
mrnumber = {2357536},
mrreviewer = {Jos\'{e}\ A.\ Langa},
doi = {10.1007/s10884-007-9095-9},
url = {https://doi.org/10.1007/s10884-007-9095-9}
}
@Article{ chow.shen:94:free,
author = {Chow, Shui-Nee and Shen, Wen Xian},
title = {A free boundary problem related to condensed two-phase
combustion. {I}. {S}emigroup},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {108},
year = {1994},
number = {2},
pages = {342--389},
issn = {0022-0396,1090-2732},
mrclass = {35R35 (34G20 35K57 47N20 80A25)},
mrnumber = {1270584},
mrreviewer = {Xinfu\ Chen},
doi = {10.1006/jdeq.1994.1038},
url = {https://doi.org/10.1006/jdeq.1994.1038}
}
@Article{ chow.shen:94:free*1,
author = {Chow, Shui-Nee and Shen, Wen Xian},
title = {A free boundary problem related to condensed two-phase
combustion. {II}. {S}tability and bifurcation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {108},
year = {1994},
number = {2},
pages = {390--423},
issn = {0022-0396,1090-2732},
mrclass = {35R35 (34G20 35B32 47N20 80A25)},
mrnumber = {1270585},
mrreviewer = {Xinfu\ Chen},
doi = {10.1006/jdeq.1994.1039},
url = {https://doi.org/10.1006/jdeq.1994.1039}
}
@Article{ chow.shen:95:dynamics,
author = {Chow, Shui-Nee and Shen, Wen Xian},
title = {Dynamics in a discrete {N}agumo equation: spatial
topological chaos},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {55},
year = {1995},
number = {6},
pages = {1764--1781},
issn = {0036-1399},
mrclass = {58F13 (35Q80 92B05)},
mrnumber = {1358800},
mrreviewer = {Sergey\ A.\ Vakulenko},
doi = {10.1137/S0036139994261757},
url = {https://doi.org/10.1137/S0036139994261757}
}
@Article{ chow.shen:95:stability,
author = {Chow, Shui-Nee and Shen, Wen Xian},
title = {Stability and bifurcation of traveling wave solutions in
coupled map lattices},
journal = {Dynam. Systems Appl.},
fjournal = {Dynamic Systems and Applications},
volume = {4},
year = {1995},
number = {1},
pages = {1--25},
issn = {1056-2176},
mrclass = {58F10 (34C99 34G99 58F14)},
mrnumber = {1312477}
}
@Article{ chow:02:stochastic,
author = {Chow, Pao-Liu},
title = {Stochastic wave equations with polynomial nonlinearity},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {12},
year = {2002},
number = {1},
pages = {361--381},
issn = {1050-5164},
mrclass = {60H15 (35R60)},
mrnumber = {1890069},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/aoap/1015961168},
url = {https://doi.org/10.1214/aoap/1015961168}
}
@Book{ chow:07:stochastic,
author = {Chow, Pao-Liu},
title = {Stochastic partial differential equations},
series = {Chapman \& Hall/CRC Applied Mathematics and Nonlinear
Science Series},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2007},
pages = {x+281},
isbn = {978-1-58488-443-9; 1-58488-443-6},
mrclass = {35R60 (60-02 60H15)},
mrnumber = {2295103},
mrreviewer = {Nikita Y. Ratanov}
}
@Article{ chronopoulou.tindel:13:on,
author = {Chronopoulou, Alexandra and Tindel, Samy},
title = {On inference for fractional differential equations},
journal = {Stat. Inference Stoch. Process.},
fjournal = {Statistical Inference for Stochastic Processes. An
International Journal Devoted to Time Series Analysis and
the Statistics of Continuous Time Processes and Dynamical
Systems},
volume = {16},
year = {2013},
number = {1},
pages = {29--61},
issn = {1387-0874},
mrclass = {60H35 (60H07 60H10 62M09 65C30)},
mrnumber = {3029332},
mrreviewer = {Habib Salehi},
doi = {10.1007/s11203-013-9076-z},
url = {https://doi.org/10.1007/s11203-013-9076-z}
}
@Article{ chronopoulou.tudor.ea:11:self-similarity,
author = {Chronopoulou, Alexandra and Tudor, Ciprian A. and Viens,
Frederi G.},
title = {Self-similarity parameter estimation and reproduction
property for non-{G}aussian {H}ermite processes},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {5},
year = {2011},
number = {1},
pages = {161--185},
issn = {2688-6669},
mrclass = {60G22 (60F05 60H07 62F10 62F12)},
mrnumber = {2808541},
mrreviewer = {Anthony\ R\'eveillac},
doi = {10.31390/cosa.5.1.10},
url = {https://doi.org/10.31390/cosa.5.1.10}
}
@Article{ chronopoulou.viens.ea:09:variations,
author = {Chronopoulou, Alexandra and Viens, Frederi G. and Tudor,
Ciprian A.},
title = {Variations and {H}urst index estimation for a {R}osenblatt
process using longer filters},
journal = {Electron. J. Stat.},
fjournal = {Electronic Journal of Statistics},
volume = {3},
year = {2009},
pages = {1393--1435},
issn = {1935-7524},
mrclass = {60G18 (60F05 60G22 60H07 62F12)},
mrnumber = {2578831},
mrreviewer = {Anthony\ R\'eveillac},
doi = {10.1214/09-EJS423},
url = {https://doi.org/10.1214/09-EJS423}
}
@Article{ chu.li.ea:14:small,
author = {Chu, Weijuan and Li, Wenbo V. and Ren, Yan-Xia},
title = {Small value probabilities for supercritical branching
processes with immigration},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {20},
year = {2014},
number = {1},
pages = {377--393},
issn = {1350-7265,1573-9759},
mrclass = {60F10 (60J80)},
mrnumber = {3160586},
mrreviewer = {Felipe\ Torres},
doi = {10.3150/12-BEJ490},
url = {https://doi.org/10.3150/12-BEJ490}
}
@Article{ chu.liu:04:double,
author = {Chu, Xing Li and Liu, Zi Xin},
title = {Double bound polaron in polar semiconductor
heterostructures},
journal = {J. Henan Norm. Univ. Nat. Sci.},
fjournal = {Journal of Henan Normal University. Natural Science. Henan
Shifan Daxue Xuebao. Ziran Kexue Ban},
volume = {32},
year = {2004},
number = {2},
pages = {31--33},
issn = {1000-2367},
mrclass = {82D37},
mrnumber = {2080524}
}
@Article{ chung.fuchs:51:on,
author = {Chung, K. L. and Fuchs, W. H. J.},
title = {On the distribution of values of sums of random
variables},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {6},
year = {1951},
pages = {12},
issn = {0065-9266},
mrclass = {60.0X},
mrnumber = {40610},
mrreviewer = {J. L. Doob}
}
@Book{ chung.lu:06:complex,
author = {Chung, Fan and Lu, Linyuan},
title = {Complex graphs and networks},
series = {CBMS Regional Conference Series in Mathematics},
volume = {107},
publisher = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC; by the American Mathematical
Society, Providence, RI},
year = {2006},
pages = {viii+264},
isbn = {978-0-8218-3657-6; 0-8218-3657-9},
mrclass = {05C85 (68R10 94C15)},
mrnumber = {2248695},
mrreviewer = {Colin D. Cooper},
doi = {10.1090/cbms/107},
url = {https://doi.org/10.1090/cbms/107}
}
@Book{ chung.williams:90:introduction,
author = {Chung, K. L. and Williams, R. J.},
title = {Introduction to stochastic integration},
series = {Probability and its Applications},
edition = {Second},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {1990},
pages = {xvi+276},
isbn = {0-8176-3386-3},
mrclass = {60H05},
mrnumber = {1102676},
doi = {10.1007/978-1-4612-4480-6},
url = {https://doi.org/10.1007/978-1-4612-4480-6}
}
@Article{ chung:48:on,
author = {Chung, Kai Lai},
title = {On the maximum partial sums of sequences of independent
random variables},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {64},
year = {1948},
pages = {205--233},
issn = {0002-9947},
mrclass = {60.0X},
mrnumber = {26274},
mrreviewer = {M. Lo\`eve},
doi = {10.2307/1990499},
url = {https://doi.org/10.2307/1990499}
}
@Book{ churchill:58:operational,
author = {Churchill, Ruel V.},
title = {Operational mathematics},
note = {2nd ed},
publisher = {McGraw-Hill Book Co., Inc., New York-Toronto-London},
year = {1958},
pages = {ix+337},
mrclass = {44.00 (34.00)},
mrnumber = {108696},
mrreviewer = {E. H. Lee}
}
@Article{ cialenco.delgado-vences.ea:20:drift,
author = {Cialenco, Igor and Delgado-Vences, Francisco and Kim,
Hyun-Jung},
title = {Drift estimation for discretely sampled {SPDE}s},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {8},
year = {2020},
number = {4},
pages = {895--920},
issn = {2194-0401,2194-041X},
mrclass = {60H15 (62M99 65L09)},
mrnumber = {4174073},
mrreviewer = {Mounir\ Zili},
doi = {10.1007/s40072-019-00164-4},
url = {https://doi.org/10.1007/s40072-019-00164-4}
}
@Article{ cialenco.fasshauer.ea:12:approximation,
author = {Cialenco, Igor and Fasshauer, Gregory E. and Ye, Qi},
title = {Approximation of stochastic partial differential equations
by a kernel-based collocation method},
journal = {Int. J. Comput. Math.},
fjournal = {International Journal of Computer Mathematics},
volume = {89},
year = {2012},
number = {18},
pages = {2543--2561},
issn = {0020-7160,1029-0265},
mrclass = {60H15 (46E22 60G15 65M70 65M75)},
mrnumber = {3004665},
mrreviewer = {Dirk\ Bl\"omker},
doi = {10.1080/00207160.2012.688111},
url = {https://doi.org/10.1080/00207160.2012.688111}
}
@Article{ cialenco.glatt-holtz:11:parameter,
author = {Cialenco, Igor and Glatt-Holtz, Nathan},
title = {Parameter estimation for the stochastically perturbed
{N}avier-{S}tokes equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {4},
pages = {701--724},
issn = {0304-4149,1879-209X},
mrclass = {60H15 (35Q30 35R60 62F10 65M32 65M75 76D05 76M35)},
mrnumber = {2770904},
mrreviewer = {Luigi\ Manca},
doi = {10.1016/j.spa.2010.12.007},
url = {https://doi.org/10.1016/j.spa.2010.12.007}
}
@Article{ cialenco.huang:20:note,
author = {Cialenco, Igor and Huang, Yicong},
title = {A note on parameter estimation for discretely sampled
{SPDE}s},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {20},
year = {2020},
number = {3},
pages = {2050016, 28},
issn = {0219-4937,1793-6799},
mrclass = {60H15 (35Q30 35R60 62F10 65M32)},
mrnumber = {4101083},
doi = {10.1142/S0219493720500161},
url = {https://doi.org/10.1142/S0219493720500161}
}
@Article{ cialenco.lototsky.ea:09:asymptotic,
author = {Cialenco, Igor and Lototsky, Sergey V. and Posp\'i\v sil,
Jan},
title = {Asymptotic properties of the maximum likelihood estimator
for stochastic parabolic equations with additive fractional
{B}rownian motion},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {9},
year = {2009},
number = {2},
pages = {169--185},
issn = {0219-4937,1793-6799},
mrclass = {60H15 (60G15 60G18 62F12)},
mrnumber = {2531625},
doi = {10.1142/S0219493709002610},
url = {https://doi.org/10.1142/S0219493709002610}
}
@Article{ cialenco.xu:15:hypothesis,
author = {Cialenco, Igor and Xu, Liaosha},
title = {Hypothesis testing for stochastic {PDE}s driven by
additive noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {3},
pages = {819--866},
issn = {0304-4149,1879-209X},
mrclass = {60H15 (35R11 35R60)},
mrnumber = {3303959},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.spa.2014.09.022},
url = {https://doi.org/10.1016/j.spa.2014.09.022}
}
@Article{ cialenco:18:statistical,
author = {Cialenco, Igor},
title = {Statistical inference for {SPDE}s: an overview},
journal = {Stat. Inference Stoch. Process.},
fjournal = {Statistical Inference for Stochastic Processes. An
International Journal Devoted to Time Series Analysis and
the Statistics of Continuous Time Processes and Dynamical
Systems},
volume = {21},
year = {2018},
number = {2},
pages = {309--329},
issn = {1387-0874,1572-9311},
mrclass = {60H15 (62M99 65M75)},
mrnumber = {3824970},
doi = {10.1007/s11203-018-9177-9},
url = {https://doi.org/10.1007/s11203-018-9177-9}
}
@Article{ cianchi.mazya:08:neumann,
author = {Cianchi, Andrea and Maz'ya, Vladimir G.},
title = {Neumann problems and isocapacitary inequalities},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {89},
year = {2008},
number = {1},
pages = {71--105},
issn = {0021-7824},
mrclass = {35J60 (35J25)},
mrnumber = {2378090},
mrreviewer = {Juha K. Kinnunen},
doi = {10.1016/j.matpur.2007.10.001},
url = {https://doi.org/10.1016/j.matpur.2007.10.001}
}
@Book{ ciarlet:78:finite,
author = {Ciarlet, Philippe G.},
title = {The finite element method for elliptic problems},
series = {Studies in Mathematics and its Applications, Vol. 4},
publisher = {North-Holland Publishing Co., Amsterdam-New York-Oxford},
year = {1978},
pages = {xix+530},
isbn = {0-444-85028-7},
mrclass = {65N30},
mrnumber = {520174},
mrreviewer = {Josef Nedoma}
}
@InCollection{ cicuta.molinari:11:phase,
author = {Cicuta, G. M. and Molinari, L. G.},
title = {Phase transitions},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {290--309},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60B20 (60-02 82B26)},
mrnumber = {2932634},
mrreviewer = {Sasha Sodin}
}
@Article{ ciesielski.taylor:62:first,
author = {Ciesielski, Z. and Taylor, S. J.},
title = {First passage times and sojourn times for {B}rownian
motion in space and the exact {H}ausdorff measure of the
sample path},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {103},
year = {1962},
pages = {434--450},
issn = {0002-9947},
mrclass = {60.62},
mrnumber = {143257},
mrreviewer = {D. A. Darling},
doi = {10.2307/1993838},
url = {https://doi.org/10.2307/1993838}
}
@InCollection{ ciesielski.zabczyk:79:note,
author = {Ciesielski, Z. and Zabczyk, J.},
title = {A note on a selection problem},
booktitle = {Probability theory ({P}apers, {VII}th {S}emester, {S}tefan
{B}anach {I}nternat. {M}ath. {C}enter, {W}arsaw, 1976)},
series = {Banach Center Publ.},
volume = {5},
pages = {47--51},
publisher = {PWN, Warsaw},
year = {1979},
isbn = {83-01-01492-X},
mrclass = {60G40 (62L15)},
mrnumber = {561467},
mrreviewer = {S.\ M.\ Samuels}
}
@Article{ cieslak.stinner:12:finite-time,
author = {Cie\'{s}lak, Tomasz and Stinner, Christian},
title = {Finite-time blowup and global-in-time unbounded solutions
to a parabolic-parabolic quasilinear {K}eller-{S}egel
system in higher dimensions},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {252},
year = {2012},
number = {10},
pages = {5832--5851},
issn = {0022-0396},
mrclass = {35B44 (35K51 35K59 92C17)},
mrnumber = {2902137},
mrreviewer = {Jean-Fran\c{c}ois Rault},
doi = {10.1016/j.jde.2012.01.045},
url = {https://doi.org/10.1016/j.jde.2012.01.045}
}
@Article{ cieslak.winkler:08:finite-time,
author = {Cie\'{s}lak, Tomasz and Winkler, Michael},
title = {Finite-time blow-up in a quasilinear system of
chemotaxis},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {21},
year = {2008},
number = {5},
pages = {1057--1076},
issn = {0951-7715},
mrclass = {35K57 (35B40 35K50 92C17)},
mrnumber = {2412327},
mrreviewer = {Gabriela Marinoschi},
doi = {10.1088/0951-7715/21/5/009},
url = {https://doi.org/10.1088/0951-7715/21/5/009}
}
@Article{ cieslak.winkler:17:global,
author = {Cie\'{s}lak, Tomasz and Winkler, Michael},
title = {Global bounded solutions in a two-dimensional quasilinear
{K}eller-{S}egel system with exponentially decaying
diffusivity and subcritical sensitivity},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {35},
year = {2017},
pages = {1--19},
issn = {1468-1218},
mrclass = {35K51 (35K59 35Q92)},
mrnumber = {3595313},
doi = {10.1016/j.nonrwa.2016.10.002},
url = {https://doi.org/10.1016/j.nonrwa.2016.10.002}
}
@InProceedings{ cirel-son.ibragimov.ea:76:norms,
author = {Cirel{\cprime}son, B. S. and Ibragimov, I. A. and Sudakov,
V. N.},
title = {Norms of {G}aussian sample functions},
booktitle = {Proceedings of the {T}hird {J}apan-{USSR} {S}ymposium on
{P}robability {T}heory ({T}ashkent, 1975)},
series = {Lecture Notes in Math., Vol. 550},
pages = {20--41},
publisher = {Springer, Berlin},
year = {1976},
mrclass = {60G15},
mrnumber = {0458556},
mrreviewer = {R. M. Dudley}
}
@Book{ clancey.gohberg:81:factorization,
author = {Clancey, Kevin F. and Gohberg, Israel},
title = {Factorization of matrix functions and singular integral
operators},
series = {Operator Theory: Advances and Applications},
volume = {3},
publisher = {Birkh\"{a}user Verlag, Basel-Boston, Mass.},
year = {1981},
pages = {x+234},
isbn = {3-7643-1297-1},
mrclass = {47A68 (15A23 45Exx 45P05)},
mrnumber = {657762},
mrreviewer = {Georg Heinig}
}
@InCollection{ clarkson:06:painleve,
author = {Clarkson, Peter A.},
title = {Painlev\'{e} equations---nonlinear special functions},
booktitle = {Orthogonal polynomials and special functions},
series = {Lecture Notes in Math.},
volume = {1883},
pages = {331--411},
publisher = {Springer, Berlin},
year = {2006},
mrclass = {33E17 (34M55 35A30 35Q53 37J35 37K20)},
mrnumber = {2243533},
mrreviewer = {Marta Mazzocco},
doi = {10.1007/978-3-540-36716-1\_7},
url = {https://doi.org/10.1007/978-3-540-36716-1_7}
}
@InCollection{ clarkson:10:painleve,
author = {Clarkson, P. A.},
title = {Painlev\'{e} transcendents},
booktitle = {N{IST} handbook of mathematical functions},
pages = {723--740},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33E17 (34M55 37J05 37K20)},
mrnumber = {2655372}
}
@Article{ clausel.roueff.ea:14:wavelet,
author = {Clausel, M. and Roueff, F. and Taqqu, M. S. and Tudor,
C.},
title = {Wavelet estimation of the long memory parameter for
{H}ermite polynomial of {G}aussian processes},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {18},
year = {2014},
pages = {42--76},
issn = {1292-8100,1262-3318},
mrclass = {62M09 (42C40 60G18 60G20 60G22 62M15)},
mrnumber = {3143733},
mrreviewer = {Gilles\ Teyssi\`ere},
doi = {10.1051/ps/2012026},
url = {https://doi.org/10.1051/ps/2012026}
}
@Article{ clement.da-prato:96:some,
author = {Cl\'{e}ment, Philippe and Da Prato, Giuseppe},
title = {Some results on stochastic convolutions arising in
{V}olterra equations perturbed by noise},
journal = {Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend.
Lincei (9) Mat. Appl.},
fjournal = {Atti della Accademia Nazionale dei Lincei. Classe di
Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei.
Serie IX. Matematica e Applicazioni},
volume = {7},
year = {1996},
number = {3},
pages = {147--153},
issn = {1120-6330},
mrclass = {60H20 (45D05)},
mrnumber = {1454409}
}
@Article{ clincy.derrida.ea:03:phase,
author = {Clincy, M. and Derrida, B. and Evans, M. R.},
title = {Phase transition in the {$ABC$} model},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {67},
year = {2003},
number = {6},
pages = {066115, 8},
issn = {1539-3755,1550-2376},
mrclass = {82C26},
mrnumber = {1995892},
doi = {10.1103/PhysRevE.67.066115},
url = {https://doi.org/10.1103/PhysRevE.67.066115}
}
@Article{ clisby.liang.ea:07:self-avoiding,
author = {Clisby, Nathan and Liang, Richard and Slade, Gordon},
title = {Self-avoiding walk enumeration via the lace expansion},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {40},
year = {2007},
number = {36},
pages = {10973--11017},
issn = {1751-8113},
mrclass = {82B41 (60K35 68R05)},
mrnumber = {2396212},
mrreviewer = {Akira Sakai},
doi = {10.1088/1751-8113/40/36/003},
url = {https://doi.org/10.1088/1751-8113/40/36/003}
}
@Article{ clisby:17:scale-free,
author = {Clisby, Nathan},
title = {Scale-free {M}onte {C}arlo method for calculating the
critical exponent {$\gamma$} of self-avoiding walks},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {50},
year = {2017},
number = {26},
pages = {264003, 13},
issn = {1751-8113},
mrclass = {60K35 (60G50)},
mrnumber = {3664342},
doi = {10.1088/1751-8121/aa7231},
url = {https://doi.org/10.1088/1751-8121/aa7231}
}
@Article{ cloez.hairer:15:exponential,
author = {Cloez, Bertrand and Hairer, Martin},
title = {Exponential ergodicity for {M}arkov processes with random
switching},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {21},
year = {2015},
number = {1},
pages = {505--536},
issn = {1350-7265},
mrclass = {60J05 (37A50 37H15 60B10)},
mrnumber = {3322329},
mrreviewer = {Feng-Rung Hu},
doi = {10.3150/13-BEJ577},
url = {https://doi.org/10.3150/13-BEJ577}
}
@Article{ cobb:58:on,
author = {Cobb, S. M.},
title = {On powers of matrices with elements in the field of
integers modulo {$2$}},
journal = {Math. Gaz.},
fjournal = {The Mathematical Gazette},
volume = {42},
year = {1958},
pages = {267--271},
issn = {0025-5572},
mrclass = {05.00},
mrnumber = {109791},
mrreviewer = {F. Harary},
doi = {10.2307/3610436},
url = {https://doi.org/10.2307/3610436}
}
@Book{ coddington.levinson:55:theory,
author = {Coddington, Earl A. and Levinson, Norman},
title = {Theory of ordinary differential equations},
publisher = {McGraw-Hill Book Company, Inc., New York-Toronto-London},
year = {1955},
pages = {xii+429},
mrclass = {36.0X},
mrnumber = {0069338},
mrreviewer = {M. Zl\'{a}mal}
}
@Article{ codenotti.favati.ea:88:perturbation,
author = {Codenotti, Bruno and Favati, Paola and Flandoli, Franco},
title = {Perturbation analysis of algebraic {R}iccati equations},
journal = {Boll. Un. Mat. Ital. B (7)},
fjournal = {Unione Matematica Italiana. Bollettino. B. Serie VII},
volume = {2},
year = {1988},
number = {4},
pages = {817--830},
mrclass = {15A24 (47A62 93B25)},
mrnumber = {977592},
mrreviewer = {V.\ S.\ Zaja\v{c}kovski}
}
@Article{ codenotti.flandoli:89:monte,
author = {Codenotti, Bruno and Flandoli, Franco},
title = {A {M}onte {C}arlo method for the parallel solution of
linear systems},
journal = {J. Complexity},
fjournal = {Journal of Complexity},
volume = {5},
year = {1989},
number = {1},
pages = {107--117},
issn = {0885-064X},
mrclass = {65C05 (65F99 65W05)},
mrnumber = {990815},
mrreviewer = {Hans-Eberhard\ Scholz},
doi = {10.1016/0885-064X(89)90016-2},
url = {https://doi.org/10.1016/0885-064X(89)90016-2}
}
@Article{ coghi.flandoli:16:propagation,
author = {Coghi, Michele and Flandoli, Franco},
title = {Propagation of chaos for interacting particles subject to
environmental noise},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {3},
pages = {1407--1442},
issn = {1050-5164},
mrclass = {60K35 (60H15 60K37 82C22)},
mrnumber = {3513594},
mrreviewer = {Xinghua Zheng},
doi = {10.1214/15-AAP1120},
url = {https://doi.org/10.1214/15-AAP1120}
}
@Article{ cohen.cui.ea:20:exponential,
author = {Cohen, David and Cui, Jianbo and Hong, Jialin and Sun,
Liying},
title = {Exponential integrators for stochastic {M}axwell's
equations driven by {I}t\^o{} noise},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {410},
year = {2020},
pages = {109382, 21},
issn = {0021-9991,1090-2716},
mrclass = {65M75 (35Q60 35R60 60H15 78A25)},
mrnumber = {4077824},
mrreviewer = {Dirk\ Bl\"omker},
doi = {10.1016/j.jcp.2020.109382},
url = {https://doi.org/10.1016/j.jcp.2020.109382}
}
@Article{ cohen.debrabant.ea:20:high,
author = {Cohen, David and Debrabant, Kristian and R\"o\ss ler,
Andreas},
title = {High order numerical integrators for single integrand
{S}tratonovich {SDE}s},
journal = {Appl. Numer. Math.},
fjournal = {Applied Numerical Mathematics. An IMACS Journal},
volume = {158},
year = {2020},
pages = {264--270},
issn = {0168-9274,1873-5460},
mrclass = {65C30 (60H10)},
mrnumber = {4137619},
mrreviewer = {John\ Masson\ Noble},
doi = {10.1016/j.apnum.2020.08.002},
url = {https://doi.org/10.1016/j.apnum.2020.08.002}
}
@Article{ cohen.dujardin:14:energy-preserving,
author = {Cohen, David and Dujardin, Guillaume},
title = {Energy-preserving integrators for stochastic {P}oisson
systems},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {12},
year = {2014},
number = {8},
pages = {1523--1539},
issn = {1539-6746,1945-0796},
mrclass = {65C30 (60H10 60H35)},
mrnumber = {3210739},
mrreviewer = {Edward\ J.\ Allen},
doi = {10.4310/CMS.2014.v12.n8.a7},
url = {https://doi.org/10.4310/CMS.2014.v12.n8.a7}
}
@Article{ cohen.dujardin:17:exponential,
author = {Cohen, David and Dujardin, Guillaume},
title = {Exponential integrators for nonlinear {S}chr\"odinger
equations with white noise dispersion},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {5},
year = {2017},
number = {4},
pages = {592--613},
issn = {2194-0401,2194-041X},
mrclass = {65M75 (35Q55 35R60 45K05 60H15 65C50 65J08)},
mrnumber = {3736655},
mrreviewer = {Vigirdas\ Mackevi\v cius},
doi = {10.1007/s40072-017-0098-1},
url = {https://doi.org/10.1007/s40072-017-0098-1}
}
@Article{ cohen.gauckler.ea:15:long-term,
author = {Cohen, David and Gauckler, Ludwig and Hairer, Ernst and
Lubich, Christian},
title = {Long-term analysis of numerical integrators for
oscillatory {H}amiltonian systems under minimal
non-resonance conditions},
journal = {BIT},
fjournal = {BIT. Numerical Mathematics},
volume = {55},
year = {2015},
number = {3},
pages = {705--732},
issn = {0006-3835,1572-9125},
mrclass = {65P10 (34E13 65L05)},
mrnumber = {3401810},
mrreviewer = {Volker\ Karl Richard Grimm},
doi = {10.1007/s10543-014-0527-8},
url = {https://doi.org/10.1007/s10543-014-0527-8}
}
@Article{ cohen.gauckler:12:one-stage,
author = {Cohen, David and Gauckler, Ludwig},
title = {One-stage exponential integrators for nonlinear
{S}chr\"odinger equations over long times},
journal = {BIT},
fjournal = {BIT. Numerical Mathematics},
volume = {52},
year = {2012},
number = {4},
pages = {877--903},
issn = {0006-3835,1572-9125},
mrclass = {65M70},
mrnumber = {2995211},
mrreviewer = {Fernando\ Casas},
doi = {10.1007/s10543-012-0385-1},
url = {https://doi.org/10.1007/s10543-012-0385-1}
}
@Article{ cohen.hairer.ea:03:modulated,
author = {Cohen, David and Hairer, Ernst and Lubich, Christian},
title = {Modulated {F}ourier expansions of highly oscillatory
differential equations},
journal = {Found. Comput. Math.},
fjournal = {Foundations of Computational Mathematics. The Journal of
the Society for the Foundations of Computational
Mathematics},
volume = {3},
year = {2003},
number = {4},
pages = {327--345},
issn = {1615-3375,1615-3383},
mrclass = {34C15 (34E13 37J40 82C05)},
mrnumber = {2009682},
mrreviewer = {Iulian\ Coroian},
doi = {10.1007/s10208-002-0062-x},
url = {https://doi.org/10.1007/s10208-002-0062-x}
}
@Article{ cohen.hairer.ea:05:numerical,
author = {Cohen, D. and Hairer, E. and Lubich, Ch.},
title = {Numerical energy conservation for multi-frequency
oscillatory differential equations},
journal = {BIT},
fjournal = {BIT. Numerical Mathematics},
volume = {45},
year = {2005},
number = {2},
pages = {287--305},
issn = {0006-3835,1572-9125},
mrclass = {65L05 (65P10)},
mrnumber = {2176195},
mrreviewer = {Juan\ I.\ Montijano},
doi = {10.1007/s10543-005-7121-z},
url = {https://doi.org/10.1007/s10543-005-7121-z}
}
@Article{ cohen.hairer.ea:08:conservation,
author = {Cohen, David and Hairer, Ernst and Lubich, Christian},
title = {Conservation of energy, momentum and actions in numerical
discretizations of non-linear wave equations},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {110},
year = {2008},
number = {2},
pages = {113--143},
issn = {0029-599X,0945-3245},
mrclass = {65M06 (35L70)},
mrnumber = {2425152},
doi = {10.1007/s00211-008-0163-9},
url = {https://doi.org/10.1007/s00211-008-0163-9}
}
@Article{ cohen.hairer.ea:08:long-time,
author = {Cohen, David and Hairer, Ernst and Lubich, Christian},
title = {Long-time analysis of nonlinearly perturbed wave equations
via modulated {F}ourier expansions},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {187},
year = {2008},
number = {2},
pages = {341--368},
issn = {0003-9527,1432-0673},
mrclass = {35L70 (35B10 35B40)},
mrnumber = {2366141},
mrreviewer = {Hideo\ Kubo},
doi = {10.1007/s00205-007-0095-z},
url = {https://doi.org/10.1007/s00205-007-0095-z}
}
@Article{ cohen.hairer:11:linear,
author = {Cohen, David and Hairer, Ernst},
title = {Linear energy-preserving integrators for {P}oisson
systems},
journal = {BIT},
fjournal = {BIT. Numerical Mathematics},
volume = {51},
year = {2011},
number = {1},
pages = {91--101},
issn = {0006-3835,1572-9125},
mrclass = {65P10 (37M15 65L06)},
mrnumber = {2784654},
mrreviewer = {Sergio\ Blanes},
doi = {10.1007/s10543-011-0310-z},
url = {https://doi.org/10.1007/s10543-011-0310-z}
}
@InCollection{ cohen.jahnke.ea:06:numerical,
author = {Cohen, David and Jahnke, Tobias and Lorenz, Katina and
Lubich, Christian},
title = {Numerical integrators for highly oscillatory {H}amiltonian
systems: a review},
booktitle = {Analysis, modeling and simulation of multiscale problems},
pages = {553--576},
publisher = {Springer, Berlin},
year = {2006},
isbn = {978-3-540-35656-1; 3-540-35656-8},
mrclass = {37M15 (65P10 70-08 70H05)},
mrnumber = {2275175},
doi = {10.1007/3-540-35657-6\_20},
url = {https://doi.org/10.1007/3-540-35657-6_20}
}
@Article{ cohen.kappeler:89:nonuniqueness,
author = {Cohen, Amy and Kappeler, Thomas},
title = {Nonuniqueness for solutions of the {K}orteweg-de {V}ries
equation},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {312},
year = {1989},
number = {2},
pages = {819--840},
issn = {0002-9947},
mrclass = {35Q20},
mrnumber = {988885},
doi = {10.2307/2001012},
url = {https://doi.org/10.2307/2001012}
}
@Article{ cohen.lang:22:numerical,
author = {Cohen, David and Lang, Annika},
title = {Numerical approximation and simulation of the stochastic
wave equation on the sphere},
journal = {Calcolo},
fjournal = {Calcolo. A Quarterly on Numerical Analysis and Theory of
Computation},
volume = {59},
year = {2022},
number = {3},
pages = {Paper No. 32, 32},
issn = {0008-0624,1126-5434},
mrclass = {65C30 (33C55 41A25 60H15 60H35)},
mrnumber = {4462619},
mrreviewer = {Xinjie\ Dai},
doi = {10.1007/s10092-022-00472-7},
url = {https://doi.org/10.1007/s10092-022-00472-7}
}
@Article{ cohen.larsson.ea:13:trigonometric,
author = {Cohen, David and Larsson, Stig and Sigg, Magdalena},
title = {A trigonometric method for the linear stochastic wave
equation},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {51},
year = {2013},
number = {1},
pages = {204--222},
issn = {0036-1429,1095-7170},
mrclass = {65M75 (60H15 60H35 65C30 65M60)},
mrnumber = {3033008},
mrreviewer = {Roger\ Pettersson},
doi = {10.1137/12087030X},
url = {https://doi.org/10.1137/12087030X}
}
@Article{ cohen.matsuo.ea:14:multi-symplectic,
author = {Cohen, David and Matsuo, Takayasu and Raynaud, Xavier},
title = {A multi-symplectic numerical integrator for the
two-component {C}amassa-{H}olm equation},
journal = {J. Nonlinear Math. Phys.},
fjournal = {Journal of Nonlinear Mathematical Physics},
volume = {21},
year = {2014},
number = {3},
pages = {442--453},
issn = {1402-9251,1776-0852},
mrclass = {35Q53 (37K10 37M15 65P10)},
mrnumber = {3224645},
doi = {10.1080/14029251.2014.936763},
url = {https://doi.org/10.1080/14029251.2014.936763}
}
@Article{ cohen.owren.ea:08:multi-symplectic,
author = {Cohen, David and Owren, Brynjulf and Raynaud, Xavier},
title = {Multi-symplectic integration of the {C}amassa-{H}olm
equation},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {227},
year = {2008},
number = {11},
pages = {5492--5512},
issn = {0021-9991,1090-2716},
mrclass = {37M15 (35Q53 37K10 37K40 65M06)},
mrnumber = {2414917},
mrreviewer = {Joris\ Vankerschaver},
doi = {10.1016/j.jcp.2008.01.051},
url = {https://doi.org/10.1016/j.jcp.2008.01.051}
}
@Article{ cohen.panloup.ea:14:approximation,
author = {Cohen, Serge and Panloup, Fabien and Tindel, Samy},
title = {Approximation of stationary solutions to {SDE}s driven by
multiplicative fractional noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {3},
pages = {1197--1225},
issn = {0304-4149},
mrclass = {60H35 (60G10 60G15 60G22)},
mrnumber = {3148010},
mrreviewer = {Habib Salehi},
doi = {10.1016/j.spa.2013.11.004},
url = {https://doi.org/10.1016/j.spa.2013.11.004}
}
@Article{ cohen.quer-sardanyons:16:fully,
author = {Cohen, David and Quer-Sardanyons, Llu\'{i}s},
title = {A fully discrete approximation of the one-dimensional
stochastic wave equation},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {36},
year = {2016},
number = {1},
pages = {400--420},
issn = {0272-4979},
mrclass = {65M75 (35L20 35L71 35R60 65M06)},
mrnumber = {3463447},
doi = {10.1093/imanum/drv006},
url = {https://doi.org/10.1093/imanum/drv006}
}
@Article{ cohen.raynaud:11:geometric,
author = {Cohen, David and Raynaud, Xavier},
title = {Geometric finite difference schemes for the generalized
hyperelastic-rod wave equation},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {235},
year = {2011},
number = {8},
pages = {1925--1940},
issn = {0377-0427,1879-1778},
mrclass = {65M06 (35Q53)},
mrnumber = {2763115},
mrreviewer = {Sergio\ Amat},
doi = {10.1016/j.cam.2010.09.015},
url = {https://doi.org/10.1016/j.cam.2010.09.015}
}
@Article{ cohen.raynaud:12:convergent,
author = {Cohen, David and Raynaud, Xavier},
title = {Convergent numerical schemes for the compressible
hyperelastic rod wave equation},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {122},
year = {2012},
number = {1},
pages = {1--59},
issn = {0029-599X,0945-3245},
mrclass = {65M06 (65M12 74K10)},
mrnumber = {2958335},
mrreviewer = {Mapundi\ K.\ Banda},
doi = {10.1007/s00211-012-0452-1},
url = {https://doi.org/10.1007/s00211-012-0452-1}
}
@Article{ cohen.schweitzer:15:high,
author = {Cohen, David and Schweitzer, Julia},
title = {High order numerical methods for highly oscillatory
problems},
journal = {ESAIM Math. Model. Numer. Anal.},
fjournal = {ESAIM. Mathematical Modelling and Numerical Analysis},
volume = {49},
year = {2015},
number = {3},
pages = {695--711},
issn = {2822-7840,2804-7214},
mrclass = {65P20 (65L05 65L20)},
mrnumber = {3342224},
mrreviewer = {Ilya\ V.\ Boykov},
doi = {10.1051/m2an/2014056},
url = {https://doi.org/10.1051/m2an/2014056}
}
@Article{ cohen.sigg:12:convergence,
author = {Cohen, David and Sigg, Magdalena},
title = {Convergence analysis of trigonometric methods for stiff
second-order stochastic differential equations},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {121},
year = {2012},
number = {1},
pages = {1--29},
issn = {0029-599X,0945-3245},
mrclass = {65C30 (34F05 60H10 65L04)},
mrnumber = {2909913},
mrreviewer = {Roger\ Pettersson},
doi = {10.1007/s00211-011-0426-8},
url = {https://doi.org/10.1007/s00211-011-0426-8}
}
@Article{ cohen.verdier:16:multisymplectic,
author = {Cohen, David and Verdier, Olivier},
title = {Multisymplectic discretization of wave map equations},
journal = {SIAM J. Sci. Comput.},
fjournal = {SIAM Journal on Scientific Computing},
volume = {38},
year = {2016},
number = {2},
pages = {A953--A972},
issn = {1064-8275,1095-7197},
mrclass = {65M06 (35L53 37K10 37M15 65P10)},
mrnumber = {3477319},
mrreviewer = {B\"ulent\ Karas\"ozen},
doi = {10.1137/15M1014322},
url = {https://doi.org/10.1137/15M1014322}
}
@Article{ cohen.vilmart:22:drift-preserving,
author = {Cohen, David and Vilmart, Gilles},
title = {Drift-preserving numerical integrators for stochastic
{P}oisson systems},
journal = {Int. J. Comput. Math.},
fjournal = {International Journal of Computer Mathematics},
volume = {99},
year = {2022},
number = {1},
pages = {4--20},
issn = {0020-7160,1029-0265},
mrclass = {65C30 (60H10 60H35 65P10)},
mrnumber = {4375496},
doi = {10.1080/00207160.2021.1922679},
url = {https://doi.org/10.1080/00207160.2021.1922679}
}
@Article{ cohen:06:conservation,
author = {Cohen, David},
title = {Conservation properties of numerical integrators for
highly oscillatory {H}amiltonian systems},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {26},
year = {2006},
number = {1},
pages = {34--59},
issn = {0272-4979,1464-3642},
mrclass = {65P10 (37M15 65D30 70-08 70H05)},
mrnumber = {2193969},
mrreviewer = {Melvin\ Leok},
doi = {10.1093/imanum/dri020},
url = {https://doi.org/10.1093/imanum/dri020}
}
@Article{ cohen:12:on,
author = {Cohen, David},
title = {On the numerical discretisation of stochastic
oscillators},
journal = {Math. Comput. Simulation},
fjournal = {Mathematics and Computers in Simulation},
volume = {82},
year = {2012},
number = {8},
pages = {1478--1495},
issn = {0378-4754,1872-7166},
mrclass = {65C30 (34F05 60H10 60H35)},
mrnumber = {2922170},
mrreviewer = {Renato\ G. C. Spigler},
doi = {10.1016/j.matcom.2012.02.004},
url = {https://doi.org/10.1016/j.matcom.2012.02.004}
}
@Article{ cohen:21:an-introduction-to-the-numerical-simulation-of-stochastic-differential-equations,
author = {Cohen, David},
title = {{\it {A}n introduction to the numerical simulation of
stochastic differential equations} [book review of
4241457]},
journal = {Eur. Math. Soc. Mag.},
fjournal = {European Mathematical Society Magazine},
number = {122},
year = {2021},
pages = {68--69},
issn = {2747-7894,2747-7908},
mrclass = {00A17},
mrnumber = {4419329},
doi = {10.4171/mag-51},
url = {https://doi.org/10.4171/mag-51}
}
@Article{ coifman.weiss:77:extensions,
author = {Coifman, Ronald R. and Weiss, Guido},
title = {Extensions of {H}ardy spaces and their use in analysis},
journal = {Bull. Amer. Math. Soc.},
fjournal = {Bulletin of the American Mathematical Society},
volume = {83},
year = {1977},
number = {4},
pages = {569--645},
issn = {0002-9904},
mrclass = {42A40 (30A78 42A18 43A85)},
mrnumber = {447954},
mrreviewer = {Alberto Torchinsky},
doi = {10.1090/S0002-9904-1977-14325-5},
url = {https://doi.org/10.1090/S0002-9904-1977-14325-5}
}
@Article{ colbrook.ma.ea:17:scaling,
author = {Colbrook, Matthew J. and Ma, Xiangcheng and Hopkins,
Philip F. and Squire, Jonathan},
title = {Scaling laws of passive-scalar diffusion in the
interstellar medium},
journal = {Monthly Notices of the Royal Astronomical Society},
volume = {467},
number = {2},
pages = {2421--2429},
year = {2017},
month = {02},
issn = {0035-8711},
doi = {10.1093/mnras/stx261},
url = {https://doi.org/10.1093/mnras/stx261},
eprint = {https://academic.oup.com/mnras/article-pdf/467/2/2421/10874800/stx261.pdf}
}
@Article{ cole:51:on,
author = {Cole, Julian D.},
title = {On a quasi-linear parabolic equation occurring in
aerodynamics},
journal = {Quart. Appl. Math.},
fjournal = {Quarterly of Applied Mathematics},
volume = {9},
year = {1951},
pages = {225--236},
issn = {0033-569X},
mrclass = {76.1X},
mrnumber = {42889},
mrreviewer = {R. Gerber},
doi = {10.1090/qam/42889},
url = {https://doi.org/10.1090/qam/42889}
}
@Article{ coletti.pimentel:07:on,
author = {Coletti, Cristian F. and Pimentel, Leandro P. R.},
title = {On the collision between two {PNG} droplets},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {126},
year = {2007},
number = {6},
pages = {1145--1164},
issn = {0022-4715,1572-9613},
mrclass = {82D60 (60K35)},
mrnumber = {2312944},
mrreviewer = {Nicoletta\ Cancrini},
doi = {10.1007/s10955-006-9272-y},
url = {https://doi.org/10.1007/s10955-006-9272-y}
}
@InCollection{ collet:94:nonlinear,
author = {Collet, P.},
title = {Nonlinear parabolic evolutions in unbounded domains},
booktitle = {Dynamics, bifurcation and symmetry ({C}arg\`ese, 1993)},
series = {NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci.},
volume = {437},
pages = {97--104},
publisher = {Kluwer Acad. Publ., Dordrecht},
year = {1994},
mrclass = {35K55 (35Q55)},
mrnumber = {1305369},
mrreviewer = {Igor Bock},
doi = {10.1007/978-94-011-0956-7\_8},
url = {https://doi.org/10.1007/978-94-011-0956-7_8}
}
@Article{ colliander.oh:12:almost,
author = {Colliander, James and Oh, Tadahiro},
title = {Almost sure well-posedness of the cubic nonlinear
{S}chr\"{o}dinger equation below {$L^2(\Bbb T)$}},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {161},
year = {2012},
number = {3},
pages = {367--414},
issn = {0012-7094},
mrclass = {35Q55 (35B30 37L40 37L50)},
mrnumber = {2881226},
mrreviewer = {Luiz Gustavo Farah},
doi = {10.1215/00127094-1507400},
url = {https://doi.org/10.1215/00127094-1507400}
}
@Article{ collins.gaudreau-lamarre:17:-freeness,
author = {Collins, Benoit and Gaudreau Lamarre, Pierre Yves},
title = {{$\ast$}-freeness in finite tensor products},
journal = {Adv. in Appl. Math.},
fjournal = {Advances in Applied Mathematics},
volume = {83},
year = {2017},
pages = {47--80},
issn = {0196-8858,1090-2074},
mrclass = {46L54 (20C07 46L06 46L53)},
mrnumber = {3573218},
mrreviewer = {Florent\ Benaych-Georges},
doi = {10.1016/j.aam.2016.09.002},
url = {https://doi.org/10.1016/j.aam.2016.09.002}
}
@Article{ collins.lamarre.ea:23:asymptotic,
author = {Collins, Beno\^{i}t and Lamarre, Pierre Yves Gaudreau and
Male, Camille},
title = {Asymptotic freeness of unitary matrices in tensor product
spaces for invariant states},
journal = {Random Matrices Theory Appl.},
fjournal = {Random Matrices. Theory and Applications},
volume = {12},
year = {2023},
number = {2},
pages = {Paper No. 2250052, 39},
issn = {2010-3263,2010-3271},
mrclass = {60B20 (46L54 60B15)},
mrnumber = {4592456},
doi = {10.1142/S2010326322500526},
url = {https://doi.org/10.1142/S2010326322500526}
}
@Article{ combes.hislop:94:localization,
author = {Combes, J.-M. and Hislop, P. D.},
title = {Localization for some continuous, random {H}amiltonians in
{$d$}-dimensions},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {124},
year = {1994},
number = {1},
pages = {149--180},
issn = {0022-1236},
mrclass = {82B44 (47B80 47N55 81Q15)},
mrnumber = {1284608},
mrreviewer = {Aernout C. D. van Enter},
doi = {10.1006/jfan.1994.1103},
url = {https://doi.org/10.1006/jfan.1994.1103}
}
@Article{ comets.cosco.ea:20:renormalizing,
author = {Comets, Francis and Cosco, Cl\'{e}ment and Mukherjee,
Chiranjib},
title = {Renormalizing the {K}ardar-{P}arisi-{Z}hang equation in
{$d\geq3$} in weak disorder},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {179},
year = {2020},
number = {3},
pages = {713--728},
issn = {0022-4715},
mrclass = {60K35 (35K59 35Q82 35R60 60H15 82D60)},
mrnumber = {4099995},
doi = {10.1007/s10955-020-02539-7},
url = {https://doi.org/10.1007/s10955-020-02539-7}
}
@Article{ comets.cranston:13:overlaps,
author = {Comets, Francis and Cranston, Michael},
title = {Overlaps and pathwise localization in the {A}nderson
polymer model},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {123},
year = {2013},
number = {6},
pages = {2446--2471},
issn = {0304-4149},
mrclass = {60K35 (60H05 60H07 60J65 60K37 82B44 82D60)},
mrnumber = {3038513},
mrreviewer = {Carles Rovira},
doi = {10.1016/j.spa.2013.02.010},
url = {https://doi.org/10.1016/j.spa.2013.02.010}
}
@Article{ comets.gantert.ea:00:quenched,
author = {Comets, Francis and Gantert, Nina and Zeitouni, Ofer},
title = {Quenched, annealed and functional large deviations for
one-dimensional random walk in random environment},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {118},
year = {2000},
number = {1},
pages = {65--114},
issn = {0178-8051},
mrclass = {60G50 (60F10 60K37 82C44)},
mrnumber = {1785454},
mrreviewer = {Lajos Horv\'{a}th},
doi = {10.1007/s004400000074},
url = {https://doi.org/10.1007/s004400000074}
}
@Article{ comets.gantert.ea:03:erratum,
author = {Comets, Francis and Gantert, Nina and Zeitouni, Ofer},
title = {Erratum: ``{Q}uenched, annealed and functional large
deviations for one-dimensional random walk in random
environment'' [{P}robab. {T}heory {R}elated {F}ields {\bf
118} (2000), no. 1, 65--114; {MR}1785454 (2002h:60090)]},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {125},
year = {2003},
number = {1},
pages = {42--44},
issn = {0178-8051,1432-2064},
mrclass = {60G50 (60F10 60K37 82C41 82C44)},
mrnumber = {1952455},
doi = {10.1007/s00440-002-0234-2},
url = {https://doi.org/10.1007/s00440-002-0234-2}
}
@Article{ comets.liu:17:rate,
author = {Comets, Francis and Liu, Quansheng},
title = {Rate of convergence for polymers in a weak disorder},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {455},
year = {2017},
number = {1},
pages = {312--335},
issn = {0022-247X},
mrclass = {60K37 (46L53 60F05)},
mrnumber = {3665102},
mrreviewer = {Fr\'{e}d\'{e}rique Watbled},
doi = {10.1016/j.jmaa.2017.05.043},
url = {https://doi.org/10.1016/j.jmaa.2017.05.043}
}
@Article{ comets.moreno.ea:19:random,
author = {Comets, Francis and Moreno, Gregorio and Ram\'{i}rez,
Alejandro F.},
title = {Random polymers on the complete graph},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {25},
year = {2019},
number = {1},
pages = {683--711},
issn = {1350-7265},
mrclass = {60K37 (60B20 82D60)},
mrnumber = {3892333},
mrreviewer = {Andrew R. Wade},
doi = {10.3150/17-bej1002},
url = {https://doi.org/10.3150/17-bej1002}
}
@Article{ comets.neveu:95:sherrington-kirkpatrick,
author = {Comets, F. and Neveu, J.},
title = {The {S}herrington-{K}irkpatrick model of spin glasses and
stochastic calculus: the high temperature case},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {166},
year = {1995},
number = {3},
pages = {549--564},
issn = {0010-3616},
mrclass = {82B44 (60H30 82D30)},
mrnumber = {1312435},
mrreviewer = {Boguslaw Zegarlinski},
url = {http://projecteuclid.org/euclid.cmp/1104271703}
}
@Article{ comets.quastel.ea:07:fluctuations,
author = {Comets, Francis and Quastel, Jeremy and Ram\'{i}rez,
Alejandro F.},
title = {Fluctuations of the front in a stochastic combustion
model},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {43},
year = {2007},
number = {2},
pages = {147--162},
issn = {0246-0203},
mrclass = {60K35 (60F05 82C22)},
mrnumber = {2303116},
mrreviewer = {B. L. Granovsky},
doi = {10.1016/j.anihpb.2006.01.005},
url = {https://doi.org/10.1016/j.anihpb.2006.01.005}
}
@Article{ comets.quastel.ea:09:fluctuations,
author = {Comets, Francis and Quastel, Jeremy and Ram\'{i}rez,
Alejandro F.},
title = {Fluctuations of the front in a one dimensional model of
{$X+Y\to2X$}},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {361},
year = {2009},
number = {11},
pages = {6165--6189},
issn = {0002-9947},
mrclass = {60K35 (60F05 60G50 60K05 82C22)},
mrnumber = {2529928},
mrreviewer = {Nikita Y. Ratanov},
doi = {10.1090/S0002-9947-09-04889-2},
url = {https://doi.org/10.1090/S0002-9947-09-04889-2}
}
@Article{ comets.quastel.ea:13:last,
author = {Comets, Francis and Quastel, Jeremy and Ram\'{i}rez,
Alejandro F.},
title = {Last passage percolation and traveling fronts},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {152},
year = {2013},
number = {3},
pages = {419--451},
issn = {0022-4715},
mrclass = {60K35 (60F17)},
mrnumber = {3082639},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves},
doi = {10.1007/s10955-013-0779-8},
url = {https://doi.org/10.1007/s10955-013-0779-8}
}
@Article{ comets.shiga.ea:03:directed,
author = {Comets, Francis and Shiga, Tokuzo and Yoshida, Nobuo},
title = {Directed polymers in a random environment: path
localization and strong disorder},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {9},
year = {2003},
number = {4},
pages = {705--723},
issn = {1350-7265},
mrclass = {60K37 (82B41 82B44)},
mrnumber = {1996276},
mrreviewer = {Elena A. Zhizhina},
doi = {10.3150/bj/1066223275},
url = {https://doi.org/10.3150/bj/1066223275}
}
@InCollection{ comets.shiga.ea:04:probabilistic,
author = {Comets, Francis and Shiga, Tokuzo and Yoshida, Nobuo},
title = {Probabilistic analysis of directed polymers in a random
environment: a review},
booktitle = {Stochastic analysis on large scale interacting systems},
series = {Adv. Stud. Pure Math.},
volume = {39},
pages = {115--142},
publisher = {Math. Soc. Japan, Tokyo},
year = {2004},
mrclass = {82B44 (60K35 60K37 82D60)},
mrnumber = {2073332},
mrreviewer = {Yueyun Hu},
doi = {10.2969/aspm/03910115},
url = {https://doi.org/10.2969/aspm/03910115}
}
@Article{ comets.vargas:06:majorizing,
author = {Comets, Francis and Vargas, Vincent},
title = {Majorizing multiplicative cascades for directed polymers
in random media},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {2},
year = {2006},
pages = {267--277},
mrclass = {60K35 (60K37)},
mrnumber = {2249671},
mrreviewer = {Jos\'{e} Trashorras}
}
@Article{ comets.yoshida:05:brownian,
author = {Comets, Francis and Yoshida, Nobuo},
title = {Brownian directed polymers in random environment},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {254},
year = {2005},
number = {2},
pages = {257--287},
issn = {0010-3616},
mrclass = {60K37 (60H05 60J65 82B44)},
mrnumber = {2117626},
mrreviewer = {Philippe Carmona},
doi = {10.1007/s00220-004-1203-7},
url = {https://doi.org/10.1007/s00220-004-1203-7}
}
@Article{ comets.yoshida:06:directed,
author = {Comets, Francis and Yoshida, Nobuo},
title = {Directed polymers in random environment are diffusive at
weak disorder},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {5},
pages = {1746--1770},
issn = {0091-1798},
mrclass = {60K37 (60J60 60K35 82C44 82D60)},
mrnumber = {2271480},
mrreviewer = {Marina Vachkovskaia},
doi = {10.1214/009117905000000828},
url = {https://doi.org/10.1214/009117905000000828}
}
@Article{ comets.yoshida:13:localization,
author = {Comets, Francis and Yoshida, Nobuo},
title = {Localization transition for polymers in {P}oissonian
medium},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {323},
year = {2013},
number = {1},
pages = {417--447},
issn = {0010-3616},
mrclass = {60K37 (60K35)},
mrnumber = {3085670},
mrreviewer = {Glauco Valle},
doi = {10.1007/s00220-013-1744-8},
url = {https://doi.org/10.1007/s00220-013-1744-8}
}
@Article{ comets.zeitouni:04:law,
author = {Comets, Francis and Zeitouni, Ofer},
title = {A law of large numbers for random walks in random mixing
environments},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {1B},
pages = {880--914},
issn = {0091-1798,2168-894X},
mrclass = {60K40 (60F15 60K37 82B41 82B44 82D30)},
mrnumber = {2039946},
mrreviewer = {Fabio\ P.\ Machado},
doi = {10.1214/aop/1079021467},
url = {https://doi.org/10.1214/aop/1079021467}
}
@InCollection{ comets.zeitouni:05:gaussian,
author = {Comets, Francis and Zeitouni, Ofer},
title = {Gaussian fluctuations for random walks in random mixing
environments},
note = {Probability in mathematics},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {148},
year = {2005},
pages = {87--113},
issn = {0021-2172,1565-8511},
mrclass = {60K37 (60F05 82B41 82B44)},
mrnumber = {2191225},
mrreviewer = {Nikita\ Y.\ Ratanov},
doi = {10.1007/BF02775433},
url = {https://doi.org/10.1007/BF02775433}
}
@Article{ comets.zeitouni:99:information,
author = {Comets, F. and Zeitouni, O.},
title = {Information estimates and {M}arkov random fields},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {5},
year = {1999},
number = {3},
pages = {269--291},
issn = {1024-2953},
mrclass = {60G60 (60F10 82B20 82B44)},
mrnumber = {1710981},
mrreviewer = {Peter\ Eichelsbacher}
}
@Book{ comets:17:directed,
author = {Comets, Francis},
title = {Directed polymers in random environments},
series = {Lecture Notes in Mathematics},
volume = {2175},
note = {Lecture notes from the 46th Probability Summer School held
in Saint-Flour, 2016},
publisher = {Springer, Cham},
year = {2017},
pages = {xv+199},
isbn = {978-3-319-50486-5; 978-3-319-50487-2},
mrclass = {60K37 (60F10 60H05 60J10 82-01 82B41 82D60)},
mrnumber = {3444835},
mrreviewer = {Julien Poisat},
doi = {10.1007/978-3-319-50487-2},
url = {https://doi.org/10.1007/978-3-319-50487-2}
}
@Article{ cong.liu:16:degenerate,
author = {Cong, Wenting and Liu, Jian-Guo},
title = {A degenerate {$p$}-{L}aplacian {K}eller-{S}egel model},
journal = {Kinet. Relat. Models},
fjournal = {Kinetic and Related Models},
volume = {9},
year = {2016},
number = {4},
pages = {687--714},
issn = {1937-5093},
mrclass = {35M31 (35B44 35B45 35D30 35K92 92C17)},
mrnumber = {3543657},
mrreviewer = {Tsukasa Iwabuchi},
doi = {10.3934/krm.2016012},
url = {https://doi.org/10.3934/krm.2016012}
}
@Article{ conlon.doering:05:on,
author = {Conlon, Joseph G. and Doering, Charles R.},
title = {On travelling waves for the stochastic
{F}isher-{K}olmogorov-{P}etrovsky-{P}iscunov equation},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {120},
year = {2005},
number = {3-4},
pages = {421--477},
issn = {0022-4715},
mrclass = {60H15 (35K55 35R60 82C22)},
mrnumber = {2182316},
doi = {10.1007/s10955-005-5960-2},
url = {https://doi.org/10.1007/s10955-005-5960-2}
}
@Article{ conlon.olsen:96:brownian,
author = {Conlon, Joseph G. and Olsen, Peder A.},
title = {A {B}rownian motion version of the directed polymer
problem},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {84},
year = {1996},
number = {3-4},
pages = {415--454},
issn = {0022-4715},
mrclass = {82C41 (60J65 82C44 82D60)},
mrnumber = {1400180},
mrreviewer = {Wei-Shih Yang},
doi = {10.1007/BF02179650},
url = {https://doi.org/10.1007/BF02179650}
}
@Article{ constantin.escher:98:well-posedness,
author = {Constantin, Adrian and Escher, Joachim},
title = {Well-posedness, global existence, and blowup phenomena for
a periodic quasi-linear hyperbolic equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {51},
year = {1998},
number = {5},
pages = {475--504},
issn = {0010-3640},
mrclass = {35Q53 (35B60 35D05 35L67)},
mrnumber = {1604278},
mrreviewer = {Bruno Scheurer},
doi = {10.1002/(SICI)1097-0312(199805)51:5<475::AID-CPA2>3.0.CO;2-5},
url = {https://doi.org/10.1002/(SICI)1097-0312(199805)51:5<475::AID-CPA2>3.0.CO;2-5}
}
@Article{ constantin.kiselev.ea:08:diffusion,
author = {Constantin, P. and Kiselev, A. and Ryzhik, L. and
Zlato\v{s}, A.},
title = {Diffusion and mixing in fluid flow},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {168},
year = {2008},
number = {2},
pages = {643--674},
issn = {0003-486X},
mrclass = {58J65 (35Q35 60J60 76F25 76R50)},
mrnumber = {2434887},
mrreviewer = {J. A. van Casteren},
doi = {10.4007/annals.2008.168.643},
url = {https://doi.org/10.4007/annals.2008.168.643}
}
@Article{ constantin.majda.ea:94:formation,
author = {Constantin, Peter and Majda, Andrew J. and Tabak,
Esteban},
title = {Formation of strong fronts in the {$2$}-{D}
quasigeostrophic thermal active scalar},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {7},
year = {1994},
number = {6},
pages = {1495--1533},
issn = {0951-7715},
mrclass = {76U05 (35Q35 76C15 76M25 86A10)},
mrnumber = {1304437},
mrreviewer = {J. Thomas Beale},
url = {http://stacks.iop.org/0951-7715/7/1495}
}
@Article{ constantin.peszat:00:global,
author = {Constantin, Adrian and Peszat, Szymon},
title = {Global existence of solutions of semilinear parabolic
evolution equations},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {13},
year = {2000},
number = {1-3},
pages = {99--114},
issn = {0893-4983},
mrclass = {35K55 (35K15 35K90)},
mrnumber = {1811950},
mrreviewer = {Alan\ V.\ Lair}
}
@Article{ constantin.vicol:12:nonlinear,
author = {Constantin, Peter and Vicol, Vlad},
title = {Nonlinear maximum principles for dissipative linear
nonlocal operators and applications},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {22},
year = {2012},
number = {5},
pages = {1289--1321},
issn = {1016-443X},
mrclass = {35Q53 (35B50 35Q35 76B03)},
mrnumber = {2989434},
mrreviewer = {Alessandro Arsie},
doi = {10.1007/s00039-012-0172-9},
url = {https://doi.org/10.1007/s00039-012-0172-9}
}
@Article{ constantin.wu:99:behavior,
author = {Constantin, Peter and Wu, Jiahong},
title = {Behavior of solutions of 2{D} quasi-geostrophic
equations},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {30},
year = {1999},
number = {5},
pages = {937--948},
issn = {0036-1410},
mrclass = {76B03 (35Q35 76D03 86A10)},
mrnumber = {1709781},
mrreviewer = {Maria Elena Schonbek},
doi = {10.1137/S0036141098337333},
url = {https://doi.org/10.1137/S0036141098337333}
}
@Article{ contucci.giardina:05:spin-glass,
author = {Contucci, Pierluigi and Giardin\`a, Cristian},
title = {Spin-glass stochastic stability: a rigorous proof},
journal = {Ann. Henri Poincar\'{e}},
fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and
Mathematical Physics},
volume = {6},
year = {2005},
number = {5},
pages = {915--923},
issn = {1424-0637},
mrclass = {82B44 (82D30)},
mrnumber = {2219862},
mrreviewer = {Peter Eichelsbacher},
doi = {10.1007/s00023-005-0229-5},
url = {https://doi.org/10.1007/s00023-005-0229-5}
}
@Article{ conus.dalang:08:non-linear,
author = {Conus, Daniel and Dalang, Robert C.},
title = {The non-linear stochastic wave equation in high
dimensions},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
pages = {no. 22, 629--670},
mrclass = {60H15},
mrnumber = {2399293},
mrreviewer = {Anna Karczewska},
doi = {10.1214/EJP.v13-500},
url = {https://doi.org/10.1214/EJP.v13-500}
}
@Article{ conus.joseph.ea:12:correlation-length,
author = {Conus, Daniel and Joseph, Mathew and Khoshnevisan, Davar},
title = {Correlation-length bounds, and estimates for intermittent
islands in parabolic {SPDE}s},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {17},
year = {2012},
pages = {no. 102, 15},
mrclass = {60H15},
mrnumber = {3005720},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1214/EJP.v17-2429},
url = {https://doi.org/10.1214/EJP.v17-2429}
}
@InCollection{ conus.joseph.ea:13:intermittency,
author = {Conus, Daniel and Joseph, Mathew and Khoshnevisan, Davar
and Shiu, Shang-Yuan},
title = {Intermittency and chaos for a nonlinear stochastic wave
equation in dimension 1},
booktitle = {Malliavin calculus and stochastic analysis},
series = {Springer Proc. Math. Stat.},
volume = {34},
pages = {251--279},
publisher = {Springer, New York},
year = {2013},
mrclass = {60H15 (60H05 60H20)},
mrnumber = {3070447},
mrreviewer = {Stefan Tappe},
doi = {10.1007/978-1-4614-5906-4\_11},
url = {https://doi.org/10.1007/978-1-4614-5906-4_11}
}
@Article{ conus.joseph.ea:13:on,
author = {Conus, Daniel and Joseph, Mathew and Khoshnevisan, Davar},
title = {On the chaotic character of the stochastic heat equation,
before the onset of intermitttency},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {3B},
pages = {2225--2260},
issn = {0091-1798},
mrclass = {60H15 (35R60)},
mrnumber = {3098071},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1214/11-AOP717},
url = {https://doi.org/10.1214/11-AOP717}
}
@Article{ conus.joseph.ea:13:on*1,
author = {Conus, Daniel and Joseph, Mathew and Khoshnevisan, Davar
and Shiu, Shang-Yuan},
title = {On the chaotic character of the stochastic heat equation,
{II}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {156},
year = {2013},
number = {3-4},
pages = {483--533},
issn = {0178-8051},
mrclass = {60H15 (35R60)},
mrnumber = {3078278},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1007/s00440-012-0434-3},
url = {https://doi.org/10.1007/s00440-012-0434-3}
}
@Article{ conus.joseph.ea:14:initial,
author = {Conus, Daniel and Joseph, Mathew and Khoshnevisan, Davar
and Shiu, Shang-Yuan},
title = {Initial measures for the stochastic heat equation},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {50},
year = {2014},
number = {1},
pages = {136--153},
issn = {0246-0203},
mrclass = {60H15},
mrnumber = {3161526},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1214/12-AIHP505},
url = {https://doi.org/10.1214/12-AIHP505}
}
@Article{ conus.khoshnevisan:10:weak,
author = {Conus, Daniel and Khoshnevisan, Davar},
title = {Weak nonmild solutions to some {SPDE}s},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {54},
year = {2010},
number = {4},
pages = {1329--1341 (2012)},
issn = {0019-2082},
mrclass = {60H15 (35R60)},
mrnumber = {2981850},
mrreviewer = {Dora Sele\v{s}i},
url = {http://projecteuclid.org/euclid.ijm/1348505531}
}
@Article{ conus.khoshnevisan:12:on,
author = {Conus, Daniel and Khoshnevisan, Davar},
title = {On the existence and position of the farthest peaks of a
family of stochastic heat and wave equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {152},
year = {2012},
number = {3-4},
pages = {681--701},
issn = {0178-8051},
mrclass = {60H15},
mrnumber = {2892959},
mrreviewer = {David Nualart},
doi = {10.1007/s00440-010-0333-4},
url = {https://doi.org/10.1007/s00440-010-0333-4}
}
@Article{ conus:13:moments,
author = {Conus, Daniel},
title = {Moments for the parabolic {A}nderson model: on a result by
{H}u and {N}ualart},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {7},
year = {2013},
number = {1},
pages = {125--152},
mrclass = {60H15 (60H35)},
mrnumber = {3080991},
mrreviewer = {Markus Kunze},
doi = {10.31390/cosa.7.1.08},
url = {https://doi.org/10.31390/cosa.7.1.08}
}
@Article{ cook.derrida:89:polymers,
author = {Cook, J. and Derrida, B.},
title = {Polymers on disordered hierarchical lattices: a nonlinear
combination of random variables},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {57},
year = {1989},
number = {1-2},
pages = {89--139},
issn = {0022-4715,1572-9613},
mrclass = {82B44 (60K35 82-04 82D60)},
mrnumber = {1031405},
mrreviewer = {Klaus\ Ziegler},
doi = {10.1007/BF01023636},
url = {https://doi.org/10.1007/BF01023636}
}
@Article{ cook.derrida:90:directed,
author = {Cook, J. and Derrida, B.},
title = {Directed polymers in a random medium: {$1/d$} expansion
and the {$n$}-tree approximation},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {23},
year = {1990},
number = {9},
pages = {1523--1554},
issn = {0305-4470,1751-8121},
mrclass = {82B41 (82B43 82D60)},
mrnumber = {1048783},
mrreviewer = {Preben\ Alstr\o m},
url = {http://stacks.iop.org/0305-4470/23/1523}
}
@Article{ cook.derrida:91:finite-size,
author = {Cook, J. and Derrida, B.},
title = {Finite-size effects in random energy models and in the
problem of polymers in a random medium},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {63},
year = {1991},
number = {3-4},
pages = {505--539},
issn = {0022-4715,1572-9613},
mrclass = {82B44 (82D30 82D60)},
mrnumber = {1115802},
mrreviewer = {Aernout\ C. D. van Enter},
doi = {10.1007/BF01029198},
url = {https://doi.org/10.1007/BF01029198}
}
@Article{ cook.nguyen.ea:23:universality,
author = {Cook, Nicholas A. and Nguyen, Hoi H. and Yakir, Oren and
Zeitouni, Ofer},
title = {Universality of {P}oisson limits for moduli of roots of
{K}ac polynomials},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2023},
number = {8},
pages = {6648--6683},
issn = {1073-7928,1687-0247},
mrclass = {60G15 (42A61 60F05)},
mrnumber = {4574383},
doi = {10.1093/imrn/rnac021},
url = {https://doi.org/10.1093/imrn/rnac021}
}
@Article{ cook.zeitouni:20:maximum,
author = {Cook, Nicholas and Zeitouni, Ofer},
title = {Maximum of the characteristic polynomial for a random
permutation matrix},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {73},
year = {2020},
number = {8},
pages = {1660--1731},
issn = {0010-3640,1097-0312},
mrclass = {60B20 (60G60)},
mrnumber = {4113544},
mrreviewer = {Theodoros\ Assiotis},
doi = {10.1002/cpa.21899},
url = {https://doi.org/10.1002/cpa.21899}
}
@Article{ cooke.herzog.ea:17:geometric,
author = {Cooke, Ben and Herzog, David P. and Mattingly, Jonathan C.
and McKinley, Scott A. and Schmidler, Scott C.},
title = {Geometric ergodicity of two-dimensional {H}amiltonian
systems with a {L}ennard-{J}ones-like repulsive potential},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {15},
year = {2017},
number = {7},
pages = {1987--2025},
issn = {1539-6746,1945-0796},
mrclass = {60H10 (37A60 82C31)},
mrnumber = {3717917},
mrreviewer = {Jiaorui\ Li},
doi = {10.4310/CMS.2017.v15.n7.a10},
url = {https://doi.org/10.4310/CMS.2017.v15.n7.a10}
}
@Book{ cooper:17:ramanujans,
author = {Cooper, Shaun},
title = {Ramanujan's theta functions},
publisher = {Springer, Cham},
year = {2017},
pages = {xviii+687},
isbn = {978-3-319-56171-4; 978-3-319-56172-1},
mrclass = {11-02 (05A15 05A19 11F11 11F27 33-02)},
mrnumber = {3675178},
mrreviewer = {Jeremy Lovejoy},
doi = {10.1007/978-3-319-56172-1},
url = {https://doi.org/10.1007/978-3-319-56172-1}
}
@Article{ corcuera.guerra.ea:06:optimal,
author = {Corcuera, Jos\'{e} Manuel and Guerra, Jo\~{a}o and
Nualart, David and Schoutens, Wim},
title = {Optimal investment in a {L}\'{e}vy market},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {53},
year = {2006},
number = {3},
pages = {279--309},
issn = {0095-4616},
mrclass = {91B28 (60G44 60H10 60H30)},
mrnumber = {2218729},
mrreviewer = {Luciano Campi},
doi = {10.1007/s00245-005-0846-x},
url = {https://doi.org/10.1007/s00245-005-0846-x}
}
@Article{ corcuera.imkeller.ea:04:additional,
author = {Corcuera, Jos\'{e} M. and Imkeller, Peter and
Kohatsu-Higa, Arturo and Nualart, David},
title = {Additional utility of insiders with imperfect dynamical
information},
journal = {Finance Stoch.},
fjournal = {Finance and Stochastics},
volume = {8},
year = {2004},
number = {3},
pages = {437--450},
issn = {0949-2984},
mrclass = {60H30 (60G48 60H07 91B26)},
mrnumber = {2213260},
doi = {10.1007/s00780-003-0119-y},
url = {https://doi.org/10.1007/s00780-003-0119-y}
}
@Article{ corcuera.nualart.ea:05:completion,
author = {Corcuera, Jos\'{e} Manuel and Nualart, David and
Schoutens, Wim},
title = {Completion of a {L}\'{e}vy market by power-jump assets},
journal = {Finance Stoch.},
fjournal = {Finance and Stochastics},
volume = {9},
year = {2005},
number = {1},
pages = {109--127},
issn = {0949-2984},
mrclass = {91B28 (60H10 60H30 91B16 91B26)},
mrnumber = {2210930},
doi = {10.1007/s00780-004-0139-2},
url = {https://doi.org/10.1007/s00780-004-0139-2}
}
@InCollection{ corcuera.nualart.ea:05:moment,
author = {Corcuera, Jos\'{e} Manuel and Nualart, David and
Schoutens, Wim},
title = {Moment derivatives and {L}\'{e}vy-type market completion},
booktitle = {Exotic option pricing and advanced {L}\'{e}vy models},
pages = {169--193},
publisher = {Wiley, Chichester},
year = {2005},
mrclass = {60H30 (60G51 60H10 91B28)},
mrnumber = {2343213}
}
@Article{ corcuera.nualart.ea:06:power,
author = {Corcuera, Jos\'{e} Manuel and Nualart, David and Woerner,
Jeannette H. C.},
title = {Power variation of some integral fractional processes},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {12},
year = {2006},
number = {4},
pages = {713--735},
issn = {1350-7265},
mrclass = {60H05 (60F05)},
mrnumber = {2248234},
mrreviewer = {Giovanni Peccati},
doi = {10.3150/bj/1155735933},
url = {https://doi.org/10.3150/bj/1155735933}
}
@Article{ corcuera.nualart.ea:07:functional,
author = {Corcuera, Jos\'{e} Manuel and Nualart, David and Woerner,
Jeannette H. C.},
title = {A functional central limit theorem for the realized power
variation of integrated stable processes},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {25},
year = {2007},
number = {1},
pages = {169--186},
issn = {0736-2994},
mrclass = {60F17 (60F05 60G15 60G18)},
mrnumber = {2284486},
mrreviewer = {Stilian A. Stoev},
doi = {10.1080/07362990601052201},
url = {https://doi.org/10.1080/07362990601052201}
}
@Article{ corcuera.nualart.ea:09:convergence,
author = {Corcuera, Jos\'{e} Manuel and Nualart, David and Woerner,
Jeannette H. C.},
title = {Convergence of certain functionals of integral fractional
processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {22},
year = {2009},
number = {4},
pages = {856--870},
issn = {0894-9840},
mrclass = {60F05 (60G22 62M99)},
mrnumber = {2558655},
mrreviewer = {Ivan Nourdin},
doi = {10.1007/s10959-008-0158-6},
url = {https://doi.org/10.1007/s10959-008-0158-6}
}
@Article{ corcuera.nualart.ea:14:asymptotics,
author = {Corcuera, Jos\'{e} Manuel and Nualart, David and
Podolskij, Mark},
title = {Asymptotics of weighted random sums},
journal = {Commun. Appl. Ind. Math.},
fjournal = {Communications in Applied and Industrial Mathematics},
volume = {6},
year = {2014},
number = {1},
pages = {e-486, 11},
mrclass = {60F17 (26A33)},
mrnumber = {3277312},
mrreviewer = {Allan Gut},
doi = {10.1685/journal.caim.486},
url = {https://doi.org/10.1685/journal.caim.486}
}
@InProceedings{ cordes:61:zero,
author = {Cordes, H. O.},
title = {Zero order a priori estimates for solutions of elliptic
differential equations},
booktitle = {Proc. {S}ympos. {P}ure {M}ath., {V}ol. {IV}},
pages = {157--166},
publisher = {American Mathematical Society, Providence, R.I.},
year = {1961},
mrclass = {35.42},
mrnumber = {0146511},
mrreviewer = {E. Magenes}
}
@Article{ cordoba.fefferman:02:growth,
author = {Cordoba, Diego and Fefferman, Charles},
title = {Growth of solutions for {QG} and 2{D} {E}uler equations},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {15},
year = {2002},
number = {3},
pages = {665--670},
issn = {0894-0347},
mrclass = {76B03 (35Q35 76B99 76U05 76W05)},
mrnumber = {1896236},
mrreviewer = {Jiahong Wu},
doi = {10.1090/S0894-0347-02-00394-6},
url = {https://doi.org/10.1090/S0894-0347-02-00394-6}
}
@Article{ cordoba.gomez-serrano.ea:19:global,
author = {C\'{o}rdoba, Diego and G\'{o}mez-Serrano, Javier and
Ionescu, Alexandru D.},
title = {Global solutions for the generalized {SQG} patch
equation},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {233},
year = {2019},
number = {3},
pages = {1211--1251},
issn = {0003-9527},
mrclass = {35Q35 (35Q86 86A05)},
mrnumber = {3961297},
mrreviewer = {Hermenegildo Borges de Oliveira},
doi = {10.1007/s00205-019-01377-6},
url = {https://doi.org/10.1007/s00205-019-01377-6}
}
@Book{ corea:93:networks,
title = {Networks and Spatial Economics: Models and Applications},
author = {Corea, P.},
year = {1993},
publisher = {Springer}
}
@Article{ corless.gonnet.ea:96:on,
author = {Corless, R. M. and Gonnet, G. H. and Hare, D. E. G. and
Jeffrey, D. J. and Knuth, D. E.},
title = {On the {L}ambert {$W$} function},
journal = {Adv. Comput. Math.},
fjournal = {Advances in Computational Mathematics},
volume = {5},
year = {1996},
number = {4},
pages = {329--359},
issn = {1019-7168},
mrclass = {33E20},
mrnumber = {1414285},
doi = {10.1007/BF02124750},
url = {https://doi.org/10.1007/BF02124750}
}
@Article{ corneli.corwin.ea:08:double,
author = {Corneli, J. and Corwin, I. and Hurder, S. and Sesum, V.
and Xu, Y. and Adams, E. and Davis, D. and Lee, M. and
Visocchi, R. and Hoffman, N.},
title = {Double bubbles in {G}auss space and spheres},
journal = {Houston J. Math.},
fjournal = {Houston Journal of Mathematics},
volume = {34},
year = {2008},
number = {1},
pages = {181--204},
issn = {0362-1588},
mrclass = {53A10},
mrnumber = {2383703},
mrreviewer = {Fei-Tsen Liang}
}
@Article{ corrias.escobedo.ea:14:existence,
author = {Corrias, L. and Escobedo, M. and Matos, J.},
title = {Existence, uniqueness and asymptotic behavior of the
solutions to the fully parabolic {K}eller-{S}egel system in
the plane},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {257},
year = {2014},
number = {6},
pages = {1840--1878},
issn = {0022-0396},
mrclass = {35K45 (35A01 35A02 35B40 35B60 35B65 35C06 92C17)},
mrnumber = {3227285},
doi = {10.1016/j.jde.2014.05.019},
url = {https://doi.org/10.1016/j.jde.2014.05.019}
}
@Article{ corrias.perthame.ea:04:global,
author = {Corrias, L. and Perthame, B. and Zaag, H.},
title = {Global solutions of some chemotaxis and angiogenesis
systems in high space dimensions},
journal = {Milan J. Math.},
fjournal = {Milan Journal of Mathematics},
volume = {72},
year = {2004},
pages = {1--28},
issn = {1424-9286},
mrclass = {35K50 (35B40 92C17 92C50)},
mrnumber = {2099126},
mrreviewer = {Ji\v{r}\'{i} Nedoma},
doi = {10.1007/s00032-003-0026-x},
url = {https://doi.org/10.1007/s00032-003-0026-x}
}
@Article{ cortazar.elgueta:91:unstability,
author = {Cort\'{a}zar, Carmen and Elgueta, Manuel},
title = {Unstability of the steady solution of a nonlinear
reaction-diffusion equation},
journal = {Houston J. Math.},
fjournal = {Houston Journal of Mathematics},
volume = {17},
year = {1991},
number = {2},
pages = {149--155},
issn = {0362-1588},
mrclass = {35K57},
mrnumber = {1115140},
mrreviewer = {L. Hsiao}
}
@Article{ cortazar.pino.ea:98:on,
author = {Cort\'{a}zar, Carmen and del Pino, Manuel and Elgueta,
Manuel},
title = {On the blow-up set for {$u_t=\Delta u^m+u^m$}, {$m>1$}},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {47},
year = {1998},
number = {2},
pages = {541--561},
issn = {0022-2518},
mrclass = {35K55 (35B05)},
mrnumber = {1647932},
doi = {10.1512/iumj.1998.47.1399},
url = {https://doi.org/10.1512/iumj.1998.47.1399}
}
@Article{ corwin.deift.ea:22:harold,
author = {Corwin, Ivan Z. and Deift, Percy A. and Its, Alexander
R.},
title = {Harold {W}idom's work in random matrix theory},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {59},
year = {2022},
number = {2},
pages = {155--173},
issn = {0273-0979},
mrclass = {60B20 (01A70 60-02)},
mrnumber = {4390497},
doi = {10.1090/bull/1757},
url = {https://doi.org/10.1090/bull/1757}
}
@Article{ corwin.dimitrov:18:transversal,
author = {Corwin, Ivan and Dimitrov, Evgeni},
title = {Transversal fluctuations of the {ASEP}, stochastic six
vertex model, and {H}all-{L}ittlewood {G}ibbsian line
ensembles},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {363},
year = {2018},
number = {2},
pages = {435--501},
issn = {0010-3616},
mrclass = {60K35 (82C22)},
mrnumber = {3851820},
mrreviewer = {Sunder Sethuraman},
doi = {10.1007/s00220-018-3139-3},
url = {https://doi.org/10.1007/s00220-018-3139-3}
}
@Article{ corwin.ferrari.ea:10:limit,
author = {Corwin, Ivan and Ferrari, Patrik L. and P\'{e}ch\'{e},
Sandrine},
title = {Limit processes for {TASEP} with shocks and rarefaction
fans},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {140},
year = {2010},
number = {2},
pages = {232--267},
issn = {0022-4715},
mrclass = {82C22 (60K35)},
mrnumber = {2659279},
mrreviewer = {Daniel Remenik},
doi = {10.1007/s10955-010-9995-7},
url = {https://doi.org/10.1007/s10955-010-9995-7}
}
@Article{ corwin.ferrari.ea:12:universality,
author = {Corwin, Ivan and Ferrari, Patrik L. and P\'{e}ch\'{e},
Sandrine},
title = {Universality of slow decorrelation in {KPZ} growth},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {48},
year = {2012},
number = {1},
pages = {134--150},
issn = {0246-0203},
mrclass = {60K35 (60B20 82B43)},
mrnumber = {2919201},
mrreviewer = {Antonio Auffinger},
doi = {10.1214/11-AIHP440},
url = {https://doi.org/10.1214/11-AIHP440}
}
@Article{ corwin.ghosal.ea:20:stochastic,
author = {Corwin, Ivan and Ghosal, Promit and Shen, Hao and Tsai,
Li-Cheng},
title = {Stochastic {PDE} limit of the six vertex model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {375},
year = {2020},
number = {3},
pages = {1945--2038},
issn = {0010-3616},
mrclass = {60K35 (35R60 60H15 82C22)},
mrnumber = {4091508},
doi = {10.1007/s00220-019-03678-z},
url = {https://doi.org/10.1007/s00220-019-03678-z}
}
@Article{ corwin.ghosal.ea:20:stochastic*1,
author = {Corwin, Ivan and Ghosal, Promit and Matetski, Konstantin},
title = {Stochastic {PDE} limit of the dynamic {ASEP}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {380},
year = {2020},
number = {3},
pages = {1025--1089},
issn = {0010-3616},
mrclass = {60H15 (60K35)},
mrnumber = {4179723},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1007/s00220-020-03905-y},
url = {https://doi.org/10.1007/s00220-020-03905-y}
}
@Article{ corwin.ghosal.ea:21:kpz,
author = {Corwin, Ivan and Ghosal, Promit and Hammond, Alan},
title = {K{PZ} equation correlations in time},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {2},
pages = {832--876},
issn = {0091-1798},
mrclass = {60H15 (60K35 82C24 82C44)},
mrnumber = {4255132},
mrreviewer = {Shuta Nakajima},
doi = {10.1214/20-aop1461},
url = {https://doi.org/10.1214/20-aop1461}
}
@Article{ corwin.ghosal:20:kpz,
author = {Corwin, Ivan and Ghosal, Promit},
title = {K{PZ} equation tails for general initial data},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {25},
year = {2020},
pages = {Paper No. 66, 38},
mrclass = {60K35},
mrnumber = {4115735},
mrreviewer = {Hirofumi Osada},
doi = {10.1214/20-ejp467},
url = {https://doi.org/10.1214/20-ejp467}
}
@Article{ corwin.ghosal:20:lower,
author = {Corwin, Ivan and Ghosal, Promit},
title = {Lower tail of the {KPZ} equation},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {169},
year = {2020},
number = {7},
pages = {1329--1395},
issn = {0012-7094},
mrclass = {35R60 (60B20 60H25 82C22)},
mrnumber = {4094738},
mrreviewer = {Le Chen},
doi = {10.1215/00127094-2019-0079},
url = {https://doi.org/10.1215/00127094-2019-0079}
}
@Article{ corwin.gu:17:kardar-parisi-zhang,
author = {Corwin, Ivan and Gu, Yu},
title = {Kardar-{P}arisi-{Z}hang equation and large deviations for
random walks in weak random environments},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {166},
year = {2017},
number = {1},
pages = {150--168},
issn = {0022-4715},
mrclass = {82C41},
mrnumber = {3592855},
doi = {10.1007/s10955-016-1693-7},
url = {https://doi.org/10.1007/s10955-016-1693-7}
}
@Article{ corwin.hammond.ea:23:exceptional,
author = {Corwin, Ivan and Hammond, Alan and Hegde, Milind and
Matetski, Konstantin},
title = {Exceptional times when the {KPZ} fixed point violates
{J}ohansson's conjecture on maximizer uniqueness},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {28},
year = {2023},
pages = {Paper No. 11, 81},
issn = {1083-6489},
mrclass = {82C21 (60J25)},
mrnumber = {4536117},
mrreviewer = {D.\ Erhard},
doi = {10.1214/22-ejp898},
url = {https://doi.org/10.1214/22-ejp898}
}
@Article{ corwin.hammond:14:brownian,
author = {Corwin, Ivan and Hammond, Alan},
title = {Brownian {G}ibbs property for {A}iry line ensembles},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {195},
year = {2014},
number = {2},
pages = {441--508},
issn = {0020-9910},
mrclass = {60K35 (60B05 60F05 60J65)},
mrnumber = {3152753},
doi = {10.1007/s00222-013-0462-3},
url = {https://doi.org/10.1007/s00222-013-0462-3}
}
@Article{ corwin.hammond:16:kpz,
author = {Corwin, Ivan and Hammond, Alan},
title = {K{PZ} line ensemble},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {166},
year = {2016},
number = {1-2},
pages = {67--185},
issn = {0178-8051},
mrclass = {82C22 (60H15 82B23)},
mrnumber = {3547737},
doi = {10.1007/s00440-015-0651-7},
url = {https://doi.org/10.1007/s00440-015-0651-7}
}
@Article{ corwin.liu.ea:16:fluctuations,
author = {Corwin, Ivan and Liu, Zhipeng and Wang, Dong},
title = {Fluctuations of {TASEP} and {LPP} with general initial
data},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {4},
pages = {2030--2082},
issn = {1050-5164},
mrclass = {60K35 (60B20 82B41 82C24 82C31)},
mrnumber = {3543889},
mrreviewer = {Florent Benaych-Georges},
doi = {10.1214/15-AAP1139},
url = {https://doi.org/10.1214/15-AAP1139}
}
@Article{ corwin.matveev.ea:21:q-hahn,
author = {Corwin, Ivan and Matveev, Konstantin and Petrov, Leonid},
title = {The {$q$}-{H}ahn {P}ush{TASEP}},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2021},
number = {3},
pages = {2210--2249},
issn = {1073-7928},
mrclass = {60K35 (33D15 82C22)},
mrnumber = {4206610},
mrreviewer = {Tertuliano Franco},
doi = {10.1093/imrn/rnz106},
url = {https://doi.org/10.1093/imrn/rnz106}
}
@Article{ corwin.morgan:11:gauss-bonnet,
author = {Corwin, Ivan and Morgan, Frank},
title = {The {G}auss-{B}onnet formula on surfaces with densities},
journal = {Involve},
fjournal = {Involve. A Journal of Mathematics},
volume = {4},
year = {2011},
number = {2},
pages = {199--202},
issn = {1944-4176},
mrclass = {53C20},
mrnumber = {2876199},
mrreviewer = {Joseph E. Borzellino},
doi = {10.2140/involve.2011.4.199},
url = {https://doi.org/10.2140/involve.2011.4.199}
}
@Article{ corwin.nica:17:intermediate,
author = {Corwin, Ivan and Nica, Mihai},
title = {Intermediate disorder directed polymers and the
multi-layer extension of the stochastic heat equation},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 13, 49},
mrclass = {60F05 (60K37 82C44 82D60)},
mrnumber = {3613706},
mrreviewer = {Quentin Berger},
doi = {10.1214/17-EJP32},
url = {https://doi.org/10.1214/17-EJP32}
}
@Article{ corwin.oconnell.ea:14:tropical,
author = {Corwin, Ivan and O'Connell, Neil and Sepp\"{a}l\"{a}inen,
Timo and Zygouras, Nikolaos},
title = {Tropical combinatorics and {W}hittaker functions},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {163},
year = {2014},
number = {3},
pages = {513--563},
issn = {0012-7094},
mrclass = {05E05 (05E10 60B20 60K35 82B23)},
mrnumber = {3165422},
mrreviewer = {Marius Ru{a}dulescu},
doi = {10.1215/00127094-2410289},
url = {https://doi.org/10.1215/00127094-2410289}
}
@Article{ corwin.parekh:20:limit,
author = {Corwin, Ivan and Parekh, Shalin},
title = {Limit shape of subpartition-maximizing partitions},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {180},
year = {2020},
number = {1-6},
pages = {597--611},
issn = {0022-4715},
mrclass = {60F10 (05A17)},
mrnumber = {4131003},
mrreviewer = {Nikolai Volodin},
doi = {10.1007/s10955-019-02481-3},
url = {https://doi.org/10.1007/s10955-019-02481-3}
}
@Article{ corwin.petrov:15:q-pushasep,
author = {Corwin, Ivan and Petrov, Leonid},
title = {The {$q$}-{P}ush{ASEP}: a new integrable model for traffic
in {$1+1$} dimension},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {160},
year = {2015},
number = {4},
pages = {1005--1026},
issn = {0022-4715},
mrclass = {82C22},
mrnumber = {3373649},
doi = {10.1007/s10955-015-1218-9},
url = {https://doi.org/10.1007/s10955-015-1218-9}
}
@Article{ corwin.petrov:16:stochastic,
author = {Corwin, Ivan and Petrov, Leonid},
title = {Stochastic higher spin vertex models on the line},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {343},
year = {2016},
number = {2},
pages = {651--700},
issn = {0010-3616},
mrclass = {82B23 (60K35 82C23)},
mrnumber = {3477349},
mrreviewer = {Aernout C. D. van Enter},
doi = {10.1007/s00220-015-2479-5},
url = {https://doi.org/10.1007/s00220-015-2479-5}
}
@Article{ corwin.petrov:19:correction,
author = {Corwin, Ivan and Petrov, Leonid},
title = {Correction to: {S}tochastic higher spin vertex models on
the line},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {371},
year = {2019},
number = {1},
pages = {353--355},
issn = {0010-3616},
mrclass = {82B23 (60K35 82C23)},
mrnumber = {4015348},
doi = {10.1007/s00220-019-03532-2},
url = {https://doi.org/10.1007/s00220-019-03532-2}
}
@Article{ corwin.quastel.ea:13:continuum,
author = {Corwin, Ivan and Quastel, Jeremy and Remenik, Daniel},
title = {Continuum statistics of the {${\rm Airy}_2$} process},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {317},
year = {2013},
number = {2},
pages = {347--362},
issn = {0010-3616},
mrclass = {60K35 (60B20)},
mrnumber = {3010187},
mrreviewer = {Florent Benaych-Georges},
doi = {10.1007/s00220-012-1582-0},
url = {https://doi.org/10.1007/s00220-012-1582-0}
}
@Article{ corwin.quastel.ea:15:renormalization,
author = {Corwin, Ivan and Quastel, Jeremy and Remenik, Daniel},
title = {Renormalization fixed point of the {KPZ} universality
class},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {160},
year = {2015},
number = {4},
pages = {815--834},
issn = {0022-4715},
mrclass = {82C28 (35K59 35R60 82C23)},
mrnumber = {3373642},
mrreviewer = {Carlos Escudero},
doi = {10.1007/s10955-015-1243-8},
url = {https://doi.org/10.1007/s10955-015-1243-8}
}
@Article{ corwin.quastel:13:crossover,
author = {Corwin, Ivan and Quastel, Jeremy},
title = {Crossover distributions at the edge of the rarefaction
fan},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {3A},
pages = {1243--1314},
issn = {0091-1798},
mrclass = {60K35 (60H15)},
mrnumber = {3098678},
mrreviewer = {B. M. Gurevich},
doi = {10.1214/11-AOP725},
url = {https://doi.org/10.1214/11-AOP725}
}
@Article{ corwin.seppalainen.ea:15:strict-weak,
author = {Corwin, Ivan and Sepp\"{a}l\"{a}inen, Timo and Shen, Hao},
title = {The strict-weak lattice polymer},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {160},
year = {2015},
number = {4},
pages = {1027--1053},
issn = {0022-4715},
mrclass = {82D60 (44A10 82C20 82C22 82C23)},
mrnumber = {3373650},
mrreviewer = {Stavros Vakeroudis},
doi = {10.1007/s10955-015-1267-0},
url = {https://doi.org/10.1007/s10955-015-1267-0}
}
@Article{ corwin.shen.ea:18:asepq-j,
author = {Corwin, Ivan and Shen, Hao and Tsai, Li-Cheng},
title = {{${\rm ASEP}(q,j)$} converges to the {KPZ} equation},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {54},
year = {2018},
number = {2},
pages = {995--1012},
issn = {0246-0203},
mrclass = {60H15 (35R60 60K35 82C22)},
mrnumber = {3795074},
mrreviewer = {Cyril Labb\'{e}},
doi = {10.1214/17-AIHP829},
url = {https://doi.org/10.1214/17-AIHP829}
}
@Article{ corwin.shen:18:open,
author = {Corwin, Ivan and Shen, Hao},
title = {Open {ASEP} in the weakly asymmetric regime},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {71},
year = {2018},
number = {10},
pages = {2065--2128},
issn = {0010-3640},
mrclass = {82C70},
mrnumber = {3861074},
doi = {10.1002/cpa.21744},
url = {https://doi.org/10.1002/cpa.21744}
}
@Article{ corwin.shen:20:some,
author = {Corwin, Ivan and Shen, Hao},
title = {Some recent progress in singular stochastic partial
differential equations},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {57},
year = {2020},
number = {3},
pages = {409--454},
issn = {0273-0979},
mrclass = {60H17 (35R60 60H50 60L30 60L40)},
mrnumber = {4108091},
mrreviewer = {Torstein K. Nilssen},
doi = {10.1090/bull/1670},
url = {https://doi.org/10.1090/bull/1670}
}
@Article{ corwin.sun:14:ergodicity,
author = {Corwin, Ivan and Sun, Xin},
title = {Ergodicity of the {A}iry line ensemble},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {19},
year = {2014},
pages = {no. 49, 11},
mrclass = {82C22 (60G10 82B23)},
mrnumber = {3246968},
doi = {10.1214/ECP.v19-3504},
url = {https://doi.org/10.1214/ECP.v19-3504}
}
@Article{ corwin.toninelli:16:stationary,
author = {Corwin, Ivan and Toninelli, Fabio Lucio},
title = {Stationary measure of the driven two-dimensional
{$q$}-{W}hittaker particle system on the torus},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {21},
year = {2016},
pages = {Paper No. 44, 12},
mrclass = {82C20 (60J27 60K35 82C24)},
mrnumber = {3510252},
doi = {10.1214/16-ECP4624},
url = {https://doi.org/10.1214/16-ECP4624}
}
@Article{ corwin.tsai:17:kpz,
author = {Corwin, Ivan and Tsai, Li-Cheng},
title = {K{PZ} equation limit of higher-spin exclusion processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {3},
pages = {1771--1798},
issn = {0091-1798},
mrclass = {60K35 (82C22 82C23)},
mrnumber = {3650415},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves},
doi = {10.1214/16-AOP1101},
url = {https://doi.org/10.1214/16-AOP1101}
}
@Article{ corwin.tsai:20:spde,
author = {Corwin, Ivan and Tsai, Li-Cheng},
title = {S{PDE} limit of weakly inhomogeneous {ASEP}},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {25},
year = {2020},
pages = {Paper No. 156, 55},
mrclass = {60K35 (60H15 82C22)},
mrnumber = {4193897},
mrreviewer = {D. Erhard},
doi = {10.1214/20-ejp565},
url = {https://doi.org/10.1214/20-ejp565}
}
@Book{ corwin:11:kardar-parisi-zhang,
author = {Corwin, Ivan Zachary},
title = {The {K}ardar-{P}arisi-{Z}hang {E}quation and
{U}niversality {C}lass},
note = {Thesis (Ph.D.)--New York University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2011},
pages = {558},
isbn = {978-1267-04875-2},
mrclass = {Thesis},
mrnumber = {2982338},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3482869}
}
@Article{ corwin:12:kardar-parisi-zhang,
author = {Corwin, Ivan},
title = {The {K}ardar-{P}arisi-{Z}hang equation and universality
class},
journal = {Random Matrices Theory Appl.},
fjournal = {Random Matrices. Theory and Applications},
volume = {1},
year = {2012},
number = {1},
pages = {1130001, 76},
issn = {2010-3263},
mrclass = {82B31 (60B20 60K35 60K37)},
mrnumber = {2930377},
doi = {10.1142/S2010326311300014},
url = {https://doi.org/10.1142/S2010326311300014}
}
@InProceedings{ corwin:14:macdonald,
author = {Corwin, Ivan},
title = {Macdonald processes, quantum integrable systems and the
{K}ardar-{P}arisi-{Z}hang universality class},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians---{S}eoul 2014. {V}ol. {III}},
pages = {1007--1034},
publisher = {Kyung Moon Sa, Seoul},
year = {2014},
mrclass = {82C22 (33D52 60H15 60K35 82B23)},
mrnumber = {3729062}
}
@InCollection{ corwin:14:two,
author = {Corwin, Ivan},
title = {Two ways to solve {ASEP}},
booktitle = {Topics in percolative and disordered systems},
series = {Springer Proc. Math. Stat.},
volume = {69},
pages = {1--13},
publisher = {Springer, New York},
year = {2014},
mrclass = {60K35},
mrnumber = {3229284},
doi = {10.1007/978-1-4939-0339-9\_1},
url = {https://doi.org/10.1007/978-1-4939-0339-9_1}
}
@Article{ corwin:15:q-hahn,
author = {Corwin, Ivan},
title = {The {$q$}-{H}ahn boson process and {$q$}-{H}ahn {TASEP}},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2015},
number = {14},
pages = {5577--5603},
issn = {1073-7928},
mrclass = {60K35},
mrnumber = {3384450},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves},
doi = {10.1093/imrn/rnu094},
url = {https://doi.org/10.1093/imrn/rnu094}
}
@Article{ corwin:16:kardar-parisi-zhang,
author = {Corwin, I.},
title = {Kardar-{P}arisi-{Z}hang universality},
journal = {Notices Amer. Math. Soc.},
fjournal = {Notices of the American Mathematical Society},
volume = {63},
year = {2016},
number = {3},
pages = {230--239},
issn = {0002-9920},
mrclass = {82B23 (35K59 35R60 60H15 60K35)},
mrnumber = {3445162},
mrreviewer = {Flora Koukiou},
doi = {10.1090/noti1334},
url = {https://doi.org/10.1090/noti1334}
}
@Article{ corwin:16:kardar-parisi-zhang*1,
author = {Corwin, Ivan},
title = {Kardar-{P}arisi-{Z}hang universality [reprint of
{MR}3445162]},
journal = {Eur. Math. Soc. Newsl.},
fjournal = {European Mathematical Society. Newsletter},
number = {101},
year = {2016},
pages = {19--27},
issn = {1027-488X},
mrclass = {82B23 (35K59 35R60 60H15 60K35)},
mrnumber = {3526310},
doi = {10.4171/news/101/6},
url = {https://doi.org/10.4171/news/101/6}
}
@Article{ corwin:18:commentary,
author = {Corwin, Ivan},
title = {Commentary on ``{L}ongest increasing subsequences: from
patience sorting to the {B}aik-{D}eift-{J}ohansson
theorem'' by {D}avid {A}ldous and {P}ersi {D}iaconis},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {55},
year = {2018},
number = {3},
pages = {363--374},
issn = {0273-0979},
mrclass = {82C22 (60H15)},
mrnumber = {3803162},
doi = {10.1090/bull/1623},
url = {https://doi.org/10.1090/bull/1623}
}
@InCollection{ corwin:18:exactly,
author = {Corwin, Ivan},
title = {Exactly solving the {KPZ} equation},
booktitle = {Random growth models},
series = {Proc. Sympos. Appl. Math.},
volume = {75},
pages = {203--254},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2018},
mrclass = {60K35 (35K59 35R60 60H15 60K37 82B43)},
mrnumber = {3838899},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves}
}
@InCollection{ corwin:21:invariance,
author = {Corwin, Ivan},
title = {Invariance of polymer partition functions under the
geometric {RSK} correspondence},
booktitle = {Stochastic analysis, random fields and integrable
probability---{F}ukuoka 2019},
series = {Adv. Stud. Pure Math.},
volume = {87},
pages = {89--136},
publisher = {Math. Soc. Japan, Tokyo},
year = {[2021] \copyright 2021},
mrclass = {05E05},
mrnumber = {4397419}
}
@Article{ corwin:22:harold,
author = {Corwin, Ivan Z.},
title = {Harold {W}idom tribute},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {59},
year = {2022},
number = {2},
pages = {269--270},
issn = {0273-0979},
mrclass = {01A70},
mrnumber = {4390501},
doi = {10.1090/bull/1761},
url = {https://doi.org/10.1090/bull/1761}
}
@InCollection{ corwin:22:some,
author = {Corwin, Ivan},
title = {Some recent progress on the stationary measure for the
open {KPZ} equation},
booktitle = {Toeplitz operators and random matrices---in memory of
{H}arold {W}idom},
series = {Oper. Theory Adv. Appl.},
volume = {289},
pages = {321--360},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {[2022] \copyright 2022},
isbn = {978-3-031-13850-8; 978-3-031-13851-5},
mrclass = {60K35 (60H15 82C22)},
mrnumber = {4573955},
doi = {10.1007/978-3-031-13851-5\_15},
url = {https://doi.org/10.1007/978-3-031-13851-5_15}
}
@Article{ cosco.nakajima.ea:22:law,
author = {Cosco, Cl\'{e}ment and Nakajima, Shuta and Nakashima,
Makoto},
title = {Law of large numbers and fluctuations in the sub-critical
and {$L^2$} regions for {SHE} and {KPZ} equation in
dimension {$d\geq3$}},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {151},
year = {2022},
pages = {127--173},
issn = {0304-4149},
mrclass = {60K37 (60F05 60G44 60H15 60K35 82D60)},
mrnumber = {4441505},
doi = {10.1016/j.spa.2022.05.010},
url = {https://doi.org/10.1016/j.spa.2022.05.010}
}
@Article{ cosco.nakajima:21:gaussian,
author = {Cosco, Cl\'{e}ment and Nakajima, Shuta},
title = {Gaussian fluctuations for the directed polymer partition
function in dimension {$d \geq 3$} and in the whole
{$L^2$}-region},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {57},
year = {2021},
number = {2},
pages = {872--889},
issn = {0246-0203},
mrclass = {60K37 (60F05 82D60)},
mrnumber = {4260488},
doi = {10.1214/20-aihp1100},
url = {https://doi.org/10.1214/20-aihp1100}
}
@Article{ cosco.seroussi.ea:21:directed,
author = {Cosco, Cl\'{e}ment and Seroussi, Inbar and Zeitouni, Ofer},
title = {Directed polymers on infinite graphs},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {386},
year = {2021},
number = {1},
pages = {395--432},
issn = {0010-3616},
mrclass = {05C63 (60K37 82D60)},
mrnumber = {4287190},
mrreviewer = {Adam Matthew Bowditch},
doi = {10.1007/s00220-021-04034-w},
url = {https://doi.org/10.1007/s00220-021-04034-w}
}
@Article{ cosco.zeitouni:23:moments,
author = {Cosco, Cl\'{e}ment and Zeitouni, Ofer},
title = {Moments of partition functions of 2{D} {G}aussian polymers
in the weak disorder regime-{I}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {403},
year = {2023},
number = {1},
pages = {417--450},
issn = {0010-3616,1432-0916},
mrclass = {82D60 (60K35)},
mrnumber = {4645720},
doi = {10.1007/s00220-023-04799-2},
url = {https://doi.org/10.1007/s00220-023-04799-2}
}
@Article{ cosner.lou.ea:17:preface,
author = {Cosner, Chris and Lou, Yuan and Ruan, Shigui and Shen,
Wenxian},
title = {Preface [{S}pecial issue in honor of {S}tephen {C}antrell
on the occasion of his 60th birthday]},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {22},
year = {2017},
number = {3},
pages = {i--ii},
issn = {1531-3492,1553-524X},
mrclass = {92-03 (01A70 35-03)},
mrnumber = {3639136},
doi = {10.3934/dcdsb.201703i},
url = {https://doi.org/10.3934/dcdsb.201703i}
}
@Article{ cosso.federico.ea:18:path-dependent,
author = {Cosso, Andrea and Federico, Salvatore and Gozzi, Fausto
and Rosestolato, Mauro and Touzi, Nizar},
title = {Path-dependent equations and viscosity solutions in
infinite dimension},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {46},
year = {2018},
number = {1},
pages = {126--174},
issn = {0091-1798,2168-894X},
mrclass = {35R60 (35B30 35D40 60H15 60H30)},
mrnumber = {3758728},
mrreviewer = {Le\ Chen},
doi = {10.1214/17-AOP1181},
url = {https://doi.org/10.1214/17-AOP1181}
}
@Article{ costabel.dauge:98:resultat,
author = {Costabel, Martin and Dauge, Monique},
title = {Un r\'{e}sultat de densit\'{e} pour les \'{e}quations de
{M}axwell r\'{e}gularis\'{e}es dans un domaine lipschitzien},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {327},
year = {1998},
number = {9},
pages = {849--854},
issn = {0764-4442},
mrclass = {46E35 (35B65 35Q60 78A25)},
mrnumber = {1663758},
doi = {10.1016/S0764-4442(99)80117-7},
url = {https://doi.org/10.1016/S0764-4442(99)80117-7}
}
@Article{ coti-zelati.dolce:20:separation,
author = {Coti Zelati, Michele and Dolce, Michele},
title = {Separation of time-scales in drift-diffusion equations on
{$\Bbb{R}^2$}},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {142},
year = {2020},
pages = {58--75},
issn = {0021-7824},
mrclass = {35K15 (35Q35 76F25)},
mrnumber = {4149684},
mrreviewer = {Chengchun Hao},
doi = {10.1016/j.matpur.2020.08.001},
url = {https://doi.org/10.1016/j.matpur.2020.08.001}
}
@Article{ coti-zelati.drivas:21:stochastic,
author = {Coti Zelati, Michele and Drivas, Theodore D.},
title = {A stochastic approach to enhanced diffusion},
journal = {Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie V},
volume = {22},
year = {2021},
number = {2},
pages = {811--834},
issn = {0391-173X},
mrclass = {35K15 (35Q35 60H10 76F25 76R50)},
mrnumber = {4288672}
}
@Article{ coti-zelati.hairer:21:noise-induced,
author = {Coti Zelati, Michele and Hairer, Martin},
title = {A noise-induced transition in the {L}orenz system},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {383},
year = {2021},
number = {3},
pages = {2243--2274},
issn = {0010-3616},
mrclass = {34F10 (37B25 60H30)},
mrnumber = {4244269},
mrreviewer = {Honghu Liu},
doi = {10.1007/s00220-021-04000-6},
url = {https://doi.org/10.1007/s00220-021-04000-6}
}
@Book{ courant.hilbert:62:methods,
author = {Courant, R. and Hilbert, D.},
title = {Methods of mathematical physics. {V}ol. {II}: {P}artial
differential equations},
note = {(Vol. II by R. Courant.)},
publisher = {Interscience Publishers (a division of John Wiley \& Sons,
Inc.), New York-London},
year = {1962},
pages = {xxii+830},
mrclass = {35.00},
mrnumber = {140802},
mrreviewer = {M. J. Lighthill}
}
@Article{ couronne.enriquez.ea:11:construction,
author = {Couronn\'{e}, Olivier and Enriquez, Nathana\"{e}l and
Gerin, Lucas},
title = {Construction of a short path in high-dimensional first
passage percolation},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {16},
year = {2011},
pages = {22--28},
mrclass = {60K35},
mrnumber = {2753301},
doi = {10.1214/ECP.v16-1595},
url = {https://doi.org/10.1214/ECP.v16-1595}
}
@InCollection{ coutin.decreusefond:01:stochastic,
author = {Coutin, L. and Decreusefond, L.},
title = {Stochastic {V}olterra equations with singular kernels},
booktitle = {Stochastic analysis and mathematical physics},
series = {Progr. Probab.},
volume = {50},
pages = {39--50},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2001},
mrclass = {60H20 (45D05 45R05 60J65)},
mrnumber = {1886561}
}
@Article{ coutin.nualart.ea:01:tanaka,
author = {Coutin, Laure and Nualart, David and Tudor, Ciprian A.},
title = {Tanaka formula for the fractional {B}rownian motion},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {94},
year = {2001},
number = {2},
pages = {301--315},
issn = {0304-4149},
mrclass = {60H05 (60J55)},
mrnumber = {1840834},
mrreviewer = {Jos\'{e} Rafael Le\'{o}n},
doi = {10.1016/S0304-4149(01)00085-0},
url = {https://doi.org/10.1016/S0304-4149(01)00085-0}
}
@InCollection{ coutin:07:introduction,
author = {Coutin, Laure},
title = {An introduction to (stochastic) calculus with respect to
fractional {B}rownian motion},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s {XL}},
series = {Lecture Notes in Math.},
volume = {1899},
pages = {3--65},
publisher = {Springer, Berlin},
year = {2007},
mrclass = {60H15 (60G17)},
mrnumber = {2408998},
mrreviewer = {Samy Tindel},
doi = {10.1007/978-3-540-71189-6\_1},
url = {https://doi.org/10.1007/978-3-540-71189-6_1}
}
@Book{ cover.thomas:06:elements,
author = {Cover, Thomas M. and Thomas, Joy A.},
title = {Elements of information theory},
edition = {Second},
publisher = {Wiley-Interscience [John Wiley \& Sons], Hoboken, NJ},
year = {2006},
pages = {xxiv+748},
isbn = {978-0-471-24195-9; 0-471-24195-4},
mrclass = {00-01 (94-01)},
mrnumber = {2239987}
}
@Article{ cowan.zabczyk:76:new,
author = {Cowan, R. and Zabczyk, J.},
title = {A new version of the best choice problem},
journal = {Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astronom.
Phys.},
fjournal = {Bulletin de l'Acad\'{e}mie Polonaise des Sciences.
S\'{e}rie des Sciences Math\'{e}matiques, Astronomiques et
Physiques},
volume = {24},
year = {1976},
number = {9},
pages = {773--778},
issn = {0001-4117},
mrclass = {60G40 (62L15)},
mrnumber = {428424},
mrreviewer = {S.\ M.\ Samuels}
}
@Article{ cowan.zabczyk:78:optimal,
author = {Cowan, R. and Zabczyk, J.},
title = {An optimal selection problem associated with the {P}oisson
process},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Akademiya Nauk SSSR. Teoriya Veroyatnosteu{i} i ee
Primeneniya},
volume = {23},
year = {1978},
number = {3},
pages = {606--614},
issn = {0040-361X},
mrclass = {60G40},
mrnumber = {509733},
mrreviewer = {S.\ M.\ Samuels}
}
@Article{ cox.durrett:81:some,
author = {Cox, J. Theodore and Durrett, Richard},
title = {Some limit theorems for percolation processes with
necessary and sufficient conditions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {9},
year = {1981},
number = {4},
pages = {583--603},
issn = {0091-1798},
mrclass = {60K35 (60F15 82A43)},
mrnumber = {624685},
mrreviewer = {John C. Wierman},
url = {http://links.jstor.org/sici?sici=0091-1798(198108)9:4<583:SLTFPP>2.0.CO;2-0&origin=MSN}
}
@Article{ cox.fleischmann.ea:96:comparison,
author = {Cox, J. Theodore and Fleischmann, Klaus and Greven,
Andreas},
title = {Comparison of interacting diffusions and an application to
their ergodic theory},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {105},
year = {1996},
number = {4},
pages = {513--528},
issn = {0178-8051},
mrclass = {60J15 (60J60)},
mrnumber = {1402655},
mrreviewer = {Anton Wakolbinger},
doi = {10.1007/BF01191911},
url = {https://doi.org/10.1007/BF01191911}
}
@Article{ cox.kesten:81:on,
author = {Cox, J. Theodore and Kesten, Harry},
title = {On the continuity of the time constant of first-passage
percolation},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {18},
year = {1981},
number = {4},
pages = {809--819},
issn = {0021-9002},
mrclass = {60K35 (82A43 92A17)},
mrnumber = {633228},
mrreviewer = {John C. Wierman},
doi = {10.1017/s0021900200034161},
url = {https://doi.org/10.1017/s0021900200034161}
}
@Article{ cox.veraar:11:vector-valued,
author = {Cox, Sonja and Veraar, Mark},
title = {Vector-valued decoupling and the
{B}urkholder-{D}avis-{G}undy inequality},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {55},
year = {2011},
number = {1},
pages = {343--375},
issn = {0019-2082,1945-6581},
mrclass = {60E15 (46B09 60B11 60G42 60H05)},
mrnumber = {3006692},
mrreviewer = {Byoung\ Soo\ Kim},
url = {http://projecteuclid.org/euclid.ijm/1355927040}
}
@Article{ coyle:96:continuous,
author = {Coyle, Lester N.},
title = {A continuous time version of random walks in a random
potential},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {64},
year = {1996},
number = {2},
pages = {209--235},
issn = {0304-4149},
mrclass = {60J15 (60F05)},
mrnumber = {1424236},
mrreviewer = {Anton Bovier},
doi = {10.1016/S0304-4149(96)00084-1},
url = {https://doi.org/10.1016/S0304-4149(96)00084-1}
}
@Article{ craiem.rojo.ea:08:fractional-order,
doi = {10.1088/0031-9155/53/17/006},
url = {https://dx.doi.org/10.1088/0031-9155/53/17/006},
year = {2008},
month = {aug},
volume = {53},
number = {17},
pages = {4543},
author = {Damian Craiem and Francisco J Rojo and Jos\'{e} Miguel
Atienza and Ricardo L Armentano and Gustavo V Guinea},
title = {Fractional-order viscoelasticity applied to describe
uniaxial stress relaxation of human arteries},
journal = {Physics in Medicine \& Biology}
}
@Article{ craik:12:lord,
author = "Craik, Alex D.D.",
title = "Lord Kelvin on fluid mechanics",
journal = "The European Physical Journal H",
year = "2012",
month = "Jun",
day = "01",
volume = "37",
number = "1",
pages = "75--114",
issn = "2102-6467",
doi = "10.1140/epjh/e2012-30004-y",
url = "https://doi.org/10.1140/epjh/e2012-30004-y"
}
@Article{ crandall.rabinowitz:73:bifurcation,
author = {Crandall, Michael G. and Rabinowitz, Paul H.},
title = {Bifurcation, perturbation of simple eigenvalues and
linearized stability},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {52},
year = {1973},
pages = {161--180},
issn = {0003-9527},
mrclass = {47H15},
mrnumber = {341212},
mrreviewer = {Norman Dancer},
doi = {10.1007/BF00282325},
url = {https://doi.org/10.1007/BF00282325}
}
@Article{ cranston.fabes.ea:86:potential,
author = {Cranston, M. and Fabes, E. and Zhao, Z.},
title = {Potential theory for the {S}chr\"{o}dinger equation},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {15},
year = {1986},
number = {2},
pages = {213--216},
issn = {0273-0979,1088-9485},
mrclass = {60J45 (31B35)},
mrnumber = {854557},
mrreviewer = {M.\ Fukushima},
doi = {10.1090/S0273-0979-1986-15478-9},
url = {https://doi.org/10.1090/S0273-0979-1986-15478-9}
}
@Article{ cranston.fabes.ea:88:conditional,
author = {Cranston, M. and Fabes, E. and Zhao, Z.},
title = {Conditional gauge and potential theory for the
{S}chr\"{o}dinger operator},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {307},
year = {1988},
number = {1},
pages = {171--194},
issn = {0002-9947,1088-6850},
mrclass = {60J60 (31C35 35J10 60J45)},
mrnumber = {936811},
mrreviewer = {Thomas\ S.\ Salisbury},
doi = {10.2307/2000757},
url = {https://doi.org/10.2307/2000757}
}
@Article{ cranston.gauthier.ea:09:on,
author = {Cranston, M. and Gauthier, D. and Mountford, T. S.},
title = {On large deviation regimes for random media models},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {19},
year = {2009},
number = {2},
pages = {826--862},
issn = {1050-5164,2168-8737},
mrclass = {60F10 (60K35 60K37)},
mrnumber = {2521889},
mrreviewer = {Peter\ Eichelsbacher},
doi = {10.1214/08-AAP535},
url = {https://doi.org/10.1214/08-AAP535}
}
@Article{ cranston.gauthier.ea:10:on,
author = {Cranston, M. and Gauthier, D. and Mountford, T. S.},
title = {On large deviations for the parabolic {A}nderson model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {147},
year = {2010},
number = {1-2},
pages = {349--378},
issn = {0178-8051,1432-2064},
mrclass = {60F10 (60K35 60K37)},
mrnumber = {2594357},
mrreviewer = {Jean-Baptiste\ Bardet},
doi = {10.1007/s00440-009-0249-z},
url = {https://doi.org/10.1007/s00440-009-0249-z}
}
@Article{ cranston.gess.ea:16:weak,
author = {Cranston, Michael and Gess, Benjamin and Scheutzow,
Michael},
title = {Weak synchronization for isotropic flows},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {21},
year = {2016},
number = {9},
pages = {3003--3014},
issn = {1531-3492,1553-524X},
mrclass = {37H10 (34D06 34D08 60H10 60J60)},
mrnumber = {3567798},
mrreviewer = {Xiaoying\ Han},
doi = {10.3934/dcdsb.2016084},
url = {https://doi.org/10.3934/dcdsb.2016084}
}
@Article{ cranston.greven:95:coupling,
author = {Cranston, Michael and Greven, Andreas},
title = {Coupling and harmonic functions in the case of continuous
time {M}arkov processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {60},
year = {1995},
number = {2},
pages = {261--286},
issn = {0304-4149,1879-209X},
mrclass = {60J25 (60J45)},
mrnumber = {1376804},
mrreviewer = {Uwe\ R\"{o}sler},
doi = {10.1016/0304-4149(95)00055-0},
url = {https://doi.org/10.1016/0304-4149(95)00055-0}
}
@Article{ cranston.hryniv.ea:09:homo-,
author = {Cranston, M. and Hryniv, O. and Molchanov, S.},
title = {Homo- and hetero-polymers in the mean-field
approximation},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {15},
year = {2009},
number = {2},
pages = {205--224},
issn = {1024-2953},
mrclass = {60K35 (82B44)},
mrnumber = {2538314},
mrreviewer = {Giambattista\ Giacomin}
}
@Article{ cranston.hsu.ea:89:smoothness,
author = {Cranston, M. and Hsu, P. and March, P.},
title = {Smoothness of the convex hull of planar {B}rownian
motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {17},
year = {1989},
number = {1},
pages = {144--150},
issn = {0091-1798,2168-894X},
mrclass = {60J65},
mrnumber = {972777},
mrreviewer = {S.\ J.\ Taylor},
url = {http://links.jstor.org/sici?sici=0091-1798(198901)17:1<144:SOTCHO>2.0.CO;2-V&origin=MSN}
}
@Article{ cranston.kendall.ea:93:radial,
author = {Cranston, Michael and Kendall, Wilfrid S. and March,
Peter},
title = {The radial part of {B}rownian motion. {II}. {I}ts life and
times on the cut locus},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {96},
year = {1993},
number = {3},
pages = {353--368},
issn = {0178-8051,1432-2064},
mrclass = {60J65 (58G32)},
mrnumber = {1231929},
mrreviewer = {Jacques\ Vauthier},
doi = {10.1007/BF01292677},
url = {https://doi.org/10.1007/BF01292677}
}
@InCollection{ cranston.kendall.ea:96:gromovs,
author = {Cranston, M. and Kendall, W. S. and Kifer, Yu.},
title = {Gromov's hyperbolicity and {P}icard's little theorem for
harmonic maps},
booktitle = {Stochastic analysis and applications ({P}owys, 1995)},
pages = {139--164},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1996},
isbn = {981-02-2560-1},
mrclass = {58G32 (58E20 60J65)},
mrnumber = {1453129},
mrreviewer = {Elton\ Pei\ Hsu}
}
@Article{ cranston.koralov.ea:09:continuous,
author = {Cranston, M. and Koralov, L. and Molchanov, S. and
Vainberg, B.},
title = {Continuous model for homopolymers},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {256},
year = {2009},
number = {8},
pages = {2656--2696},
issn = {0022-1236},
mrclass = {82D60 (35K15 60J65 82B41)},
mrnumber = {2502529},
mrreviewer = {Giambattista Giacomin},
doi = {10.1016/j.jfa.2008.07.019},
url = {https://doi.org/10.1016/j.jfa.2008.07.019}
}
@Article{ cranston.koralov.ea:10:solvable,
author = {Cranston, M. and Koralov, L. and Molchanov, S. and
Vainberg, B.},
title = {A solvable model for homopolymers and self-similarity near
the critical point},
journal = {Random Oper. Stoch. Equ.},
fjournal = {Random Operators and Stochastic Equations},
volume = {18},
year = {2010},
number = {1},
pages = {73--95},
issn = {0926-6364,1569-397X},
mrclass = {60K37 (35K10 47D07 60K35)},
mrnumber = {2606477},
mrreviewer = {Quansheng\ Liu},
doi = {10.1515/ROSE.2010.73},
url = {https://doi.org/10.1515/ROSE.2010.73}
}
@Article{ cranston.le-jan:09:central,
author = {Cranston, M. and Le Jan, Yves},
title = {A central limit theorem for isotropic flows},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {10},
pages = {3767--3784},
issn = {0304-4149,1879-209X},
mrclass = {60F05 (60E07 60F10 60G60 60G70)},
mrnumber = {2568295},
mrreviewer = {Ming\ Liao},
doi = {10.1016/j.spa.2009.07.006},
url = {https://doi.org/10.1016/j.spa.2009.07.006}
}
@Article{ cranston.le-jan:89:on,
author = {Cranston, M. and Le Jan, Y.},
title = {On the noncoalescence of a two point {B}rownian motion
reflecting on a circle},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistique},
volume = {25},
year = {1989},
number = {2},
pages = {99--107},
issn = {0246-0203},
mrclass = {60J65 (60H10)},
mrnumber = {1001020},
mrreviewer = {Pierre-Louis\ Lions},
url = {http://www.numdam.org/item?id=AIHPB_1989__25_2_99_0}
}
@InCollection{ cranston.le-jan:89:simultaneous,
author = {Cranston, M. and Le Jan, Y.},
title = {Simultaneous boundary hitting for a two point reflecting
{B}rownian motion},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIII}},
series = {Lecture Notes in Math.},
volume = {1372},
pages = {234--238},
publisher = {Springer, Berlin},
year = {1989},
isbn = {3-540-51191-1},
mrclass = {60J65},
mrnumber = {1022913},
mrreviewer = {Terry\ R.\ McConnell},
doi = {10.1007/BFb0083975},
url = {https://doi.org/10.1007/BFb0083975}
}
@Article{ cranston.le-jan:90:noncoalescence,
author = {Cranston, M. and Le Jan, Y.},
title = {Noncoalescence for the {S}korohod equation in a convex
domain of {${\bf R}^2$}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {87},
year = {1990},
number = {2},
pages = {241--252},
issn = {0178-8051,1432-2064},
mrclass = {60H10 (60G17 60J55 60J65)},
mrnumber = {1080491},
mrreviewer = {H.-J.\ Engelbert},
doi = {10.1007/BF01198431},
url = {https://doi.org/10.1007/BF01198431}
}
@Article{ cranston.le-jan:95:self-attracting,
author = {Cranston, M. and Le Jan, Y.},
title = {Self-attracting diffusions: two case studies},
journal = {Math. Ann.},
fjournal = {Mathematische Annalen},
volume = {303},
year = {1995},
number = {1},
pages = {87--93},
issn = {0025-5831,1432-1807},
mrclass = {60H10 (60F15 60J60)},
mrnumber = {1348356},
mrreviewer = {Qingji\ Yang},
doi = {10.1007/BF01460980},
url = {https://doi.org/10.1007/BF01460980}
}
@InCollection{ cranston.le-jan:99:asymptotic,
author = {Cranston, Michael and Le Jan, Yves},
title = {Asymptotic curvature for stochastic dynamical systems},
booktitle = {Stochastic dynamics ({B}remen, 1997)},
pages = {327--338},
publisher = {Springer, New York},
year = {1999},
isbn = {0-387-98512-3},
mrclass = {60G50 (58J65 60B15 60F05)},
mrnumber = {1678499},
mrreviewer = {Elton\ Pei\ Hsu},
doi = {10.1007/0-387-22655-9\_14},
url = {https://doi.org/10.1007/0-387-22655-9_14}
}
@Article{ cranston.lejan:98:geometric,
author = {Cranston, M. and LeJan, Y.},
title = {Geometric evolution under isotropic stochastic flow},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {3},
year = {1998},
pages = {no. 4, 36},
issn = {1083-6489},
mrclass = {60H10 (60J60)},
mrnumber = {1610230},
mrreviewer = {R\'{e}mi\ L\'{e}andre},
doi = {10.1214/EJP.v3-26},
url = {https://doi.org/10.1214/EJP.v3-26}
}
@Article{ cranston.li:97:eigenfunction,
author = {Cranston, Michael and Li, Yi},
title = {Eigenfunction and harmonic function estimates in domains
with horns and cusps},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {22},
year = {1997},
number = {11-12},
pages = {1805--1836},
issn = {0360-5302,1532-4133},
mrclass = {35J05 (35B45 35P15)},
mrnumber = {1629490},
mrreviewer = {Ya.\ A.\ Rou{i}tberg},
doi = {10.1080/03605309708821321},
url = {https://doi.org/10.1080/03605309708821321}
}
@Article{ cranston.mcconnell:83:lifetime,
author = {Cranston, M. and McConnell, T. R.},
title = {The lifetime of conditioned {B}rownian motion},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {65},
year = {1983},
number = {1},
pages = {1--11},
issn = {0044-3719},
mrclass = {60J65 (60G17)},
mrnumber = {717928},
mrreviewer = {Chull\ Park},
doi = {10.1007/BF00534989},
url = {https://doi.org/10.1007/BF00534989}
}
@Article{ cranston.molchanov.ea:14:point,
author = {Cranston, M. and Molchanov, S. and Squartini, N.},
title = {Point potential for the generator of a stable process},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {266},
year = {2014},
number = {3},
pages = {1238--1256},
issn = {0022-1236,1096-0783},
mrclass = {82D60 (60G52 60J27 60J35)},
mrnumber = {3146817},
doi = {10.1016/j.jfa.2013.10.033},
url = {https://doi.org/10.1016/j.jfa.2013.10.033}
}
@InCollection{ cranston.molchanov:05:limit,
author = {Cranston, Michael and Molchanov, Stanislav},
title = {Limit laws for sums of products of exponentials of iid
random variables},
note = {Probability in mathematics},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {148},
year = {2005},
pages = {115--136},
issn = {0021-2172,1565-8511},
mrclass = {60F05 (60G50)},
mrnumber = {2191226},
mrreviewer = {M.\ Iosifescu},
doi = {10.1007/BF02775434},
url = {https://doi.org/10.1007/BF02775434}
}
@InCollection{ cranston.molchanov:07:on,
author = {Cranston, M. and Molchanov, S.},
title = {On phase transitions and limit theorems for homopolymers},
booktitle = {Probability and mathematical physics},
series = {CRM Proc. Lecture Notes},
volume = {42},
pages = {97--112},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2007},
isbn = {978-0-8218-4089-4},
mrclass = {60K35 (60K40 82B41 82D60)},
mrnumber = {2352264},
mrreviewer = {Giambattista\ Giacomin},
doi = {10.1090/crmp/042/05},
url = {https://doi.org/10.1090/crmp/042/05}
}
@Article{ cranston.molchanov:07:quenched,
author = {Cranston, M. and Molchanov, S.},
title = {Quenched to annealed transition in the parabolic
{A}nderson problem},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {138},
year = {2007},
number = {1-2},
pages = {177--193},
issn = {0178-8051,1432-2064},
mrclass = {60F05 (60E07 60F10 60G70)},
mrnumber = {2288068},
mrreviewer = {Wolfgang\ K\"{o}nig},
doi = {10.1007/s00440-006-0020-7},
url = {https://doi.org/10.1007/s00440-006-0020-7}
}
@Article{ cranston.molchanov:12:on,
author = {Cranston, Michael C. and Molchanov, Stanislav A.},
title = {On a concentration inequality for sums of independent
isotropic vectors},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {17},
year = {2012},
pages = {no. 27, 8},
issn = {1083-589X},
mrclass = {60F05 (60E15)},
mrnumber = {2955492},
mrreviewer = {Deli\ Li},
doi = {10.1214/ECP.v17-2063},
url = {https://doi.org/10.1214/ECP.v17-2063}
}
@Article{ cranston.molchanov:19:on,
author = {Cranston, Michael and Molchanov, Stanislav},
title = {On the critical behavior of a homopolymer model},
journal = {Sci. China Math.},
fjournal = {Science China. Mathematics},
volume = {62},
year = {2019},
number = {8},
pages = {1463--1476},
issn = {1674-7283,1869-1862},
mrclass = {60K37 (35K10 60K35 82B26 82B27 82D60)},
mrnumber = {3984384},
doi = {10.1007/s11425-018-9393-6},
url = {https://doi.org/10.1007/s11425-018-9393-6}
}
@Article{ cranston.mountford.ea:02:lyapunov,
author = {Cranston, M. and Mountford, T. S. and Shiga, T.},
title = {Lyapunov exponents for the parabolic {A}nderson model},
journal = {Acta Math. Univ. Comenian. (N.S.)},
fjournal = {Acta Mathematica Universitatis Comenianae. New Series},
volume = {71},
year = {2002},
number = {2},
pages = {163--188},
issn = {0862-9544},
mrclass = {60H15 (60G15 60H30 60K35 82B44)},
mrnumber = {1980378},
mrreviewer = {Anna Karczewska}
}
@Article{ cranston.mountford.ea:05:lyapunov,
author = {Cranston, M. and Mountford, T. S. and Shiga, T.},
title = {Lyapunov exponent for the parabolic {A}nderson model with
{L}\'{e}vy noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {132},
year = {2005},
number = {3},
pages = {321--355},
issn = {0178-8051},
mrclass = {60H15 (60K35 82B44)},
mrnumber = {2197105},
mrreviewer = {Giambattista Giacomin},
doi = {10.1007/s00440-004-0346-y},
url = {https://doi.org/10.1007/s00440-004-0346-y}
}
@Article{ cranston.mountford.ea:14:contact,
author = {Cranston, Michael and Mountford, Thomas and Mourrat,
Jean-Christophe and Valesin, Daniel},
title = {The contact process on finite homogeneous trees
revisited},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {11},
year = {2014},
number = {1},
pages = {385--408},
issn = {1980-0436},
mrclass = {60K35 (05C05 82C22)},
mrnumber = {3249416},
mrreviewer = {N.\ N.\ Ganikhodjaev}
}
@Article{ cranston.mountford:06:lyapunov,
author = {Cranston, M. and Mountford, T. S.},
title = {Lyapunov exponent for the parabolic {A}nderson model in
{$\bold R^d$}},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {236},
year = {2006},
number = {1},
pages = {78--119},
issn = {0022-1236,1096-0783},
mrclass = {60H15 (82B44)},
mrnumber = {2227130},
mrreviewer = {Carlos\ M.\ Mora Gonz\'{a}lez},
doi = {10.1016/j.jfa.2006.01.007},
url = {https://doi.org/10.1016/j.jfa.2006.01.007}
}
@Article{ cranston.mountford:91:extension,
author = {Cranston, M. C. and Mountford, T. S.},
title = {An extension of a result of {B}urdzy and {L}awler},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {89},
year = {1991},
number = {4},
pages = {487--502},
issn = {0178-8051,1432-2064},
mrclass = {60J15 (60J65)},
mrnumber = {1118560},
mrreviewer = {Gregory\ F.\ Lawler},
doi = {10.1007/BF01199790},
url = {https://doi.org/10.1007/BF01199790}
}
@Article{ cranston.mountford:96:strong,
author = {Cranston, M. and Mountford, T. S.},
title = {The strong law of large numbers for a {B}rownian polymer},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {3},
pages = {1300--1323},
issn = {0091-1798,2168-894X},
mrclass = {60F15 (60H05)},
mrnumber = {1411496},
mrreviewer = {Maria\ E.\ Vares},
doi = {10.1214/aop/1065725183},
url = {https://doi.org/10.1214/aop/1065725183}
}
@Article{ cranston.mueller:10:on,
author = {Cranston, M. and Mueller, G.},
title = {On the association and central limit theorem for solutions
of the parabolic {A}nderson model},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {54},
year = {2010},
number = {4},
pages = {1313--1328},
issn = {0019-2082,1945-6581},
mrclass = {60F05 (60G60 60H15)},
mrnumber = {2981849},
mrreviewer = {Jiang\ Lun\ Wu},
url = {http://projecteuclid.org/euclid.ijm/1348505530}
}
@InCollection{ cranston.mueller:88:review,
author = {Cranston, M. and Mueller, C.},
title = {A review of recent and older results on the absolute
continuity of harmonic measure},
booktitle = {Geometry of random motion ({I}thaca, {N}.{Y}., 1987)},
series = {Contemp. Math.},
volume = {73},
pages = {9--19},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1988},
mrclass = {35J15 (31C12 53C20 58G30)},
mrnumber = {954624},
mrreviewer = {Rainer Wittmann},
doi = {10.1090/conm/073/954624},
url = {https://doi.org/10.1090/conm/073/954624}
}
@InCollection{ cranston.orey.ea:80:exterior,
author = {Cranston, Michael and Orey, Steven and R\"{o}sler, Uwe},
title = {Exterior {D}irichlet problems and the asymptotic behavior
of diffusions},
booktitle = {Stochastic differential systems ({P}roc. {IFIP}-{WG} 7/1
{W}orking {C}onf., {V}ilnius, 1978)},
series = {Lect. Notes Control Inf. Sci.},
volume = {25},
pages = {207--220},
publisher = {Springer, Berlin-New York},
year = {1980},
isbn = {3-540-10498-4},
mrclass = {60J60 (31C05 35J25)},
mrnumber = {609185},
mrreviewer = {S.\ J.\ Taylor}
}
@InCollection{ cranston.orey.ea:83:martin,
author = {Cranston, M. and Orey, S. and R\"{o}sler, U.},
title = {The {M}artin boundary of two-dimensional
{O}rnstein-{U}hlenbeck processes},
booktitle = {Probability, statistics and analysis},
series = {London Math. Soc. Lecture Note Ser.},
volume = {79},
pages = {63--78},
publisher = {Cambridge Univ. Press, Cambridge-New York},
year = {1983},
isbn = {0-521-28590-9},
mrclass = {60J50 (31C35)},
mrnumber = {696021},
mrreviewer = {J.\ C.\ Taylor}
}
@Article{ cranston.peltzer:22:on,
author = {Cranston, Michael and Peltzer, Adrien},
title = {On properties of the {R}iemann zeta distribution},
journal = {Rocky Mountain J. Math.},
fjournal = {The Rocky Mountain Journal of Mathematics},
volume = {52},
year = {2022},
number = {3},
pages = {843--875},
issn = {0035-7596,1945-3795},
mrclass = {11M06 (11K65 60B99)},
mrnumber = {4441101},
doi = {10.1216/rmj.2022.52.843},
url = {https://doi.org/10.1216/rmj.2022.52.843}
}
@Article{ cranston.salisbury:93:martin,
author = {Cranston, Michael C. and Salisbury, Thomas S.},
title = {Martin boundaries of sectorial domains},
journal = {Ark. Mat.},
fjournal = {Arkiv f\"{o}r Matematik},
volume = {31},
year = {1993},
number = {1},
pages = {27--49},
issn = {0004-2080,1871-2487},
mrclass = {31A05 (31C35 60J50)},
mrnumber = {1230263},
mrreviewer = {Stephen\ J.\ Gardiner},
doi = {10.1007/BF02559496},
url = {https://doi.org/10.1007/BF02559496}
}
@Article{ cranston.scheutzow.ea:00:linear,
author = {Cranston, Mike and Scheutzow, Michael and Steinsaltz,
David},
title = {Linear bounds for stochastic dispersion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {4},
pages = {1852--1869},
issn = {0091-1798,2168-894X},
mrclass = {60H20 (60H15)},
mrnumber = {1813845},
mrreviewer = {Olivier\ Raimond},
doi = {10.1214/aop/1019160510},
url = {https://doi.org/10.1214/aop/1019160510}
}
@Article{ cranston.scheutzow.ea:99:linear,
author = {Cranston, Michael and Scheutzow, Michael and Steinsaltz,
David},
title = {Linear expansion of isotropic {B}rownian flows},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {4},
year = {1999},
pages = {91--101},
issn = {1083-589X},
mrclass = {60H15 (60J65)},
mrnumber = {1741738},
mrreviewer = {R\'{e}mi\ L\'{e}andre},
doi = {10.1214/ECP.v4-1010},
url = {https://doi.org/10.1214/ECP.v4-1010}
}
@Article{ cranston.scheutzow:02:dispersion,
author = {Cranston, Mike and Scheutzow, Michael},
title = {Dispersion rates under finite mode {K}olmogorov flows},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {12},
year = {2002},
number = {2},
pages = {511--532},
issn = {1050-5164,2168-8737},
mrclass = {60G35 (60G15 60K40 76F55 76M35)},
mrnumber = {1910637},
mrreviewer = {Sreenivasan\ Ravi},
doi = {10.1214/aoap/1026915613},
url = {https://doi.org/10.1214/aoap/1026915613}
}
@Article{ cranston.wang:00:condition,
author = {Cranston, M. and Wang, Feng-Yu},
title = {A condition for the equivalence of coupling and shift
coupling},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {4},
pages = {1666--1679},
issn = {0091-1798,2168-894X},
mrclass = {60J60 (60J05 60J25 60J45)},
mrnumber = {1813838},
mrreviewer = {M.\ G.\ Shur},
doi = {10.1214/aop/1019160502},
url = {https://doi.org/10.1214/aop/1019160502}
}
@Article{ cranston.zhao:87:conditional,
author = {Cranston, M. and Zhao, Z.},
title = {Conditional transformation of drift formula and potential
theory for {${1\over 2}\Delta +b(\cdot)\cdot\nabla$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {112},
year = {1987},
number = {4},
pages = {613--625},
issn = {0010-3616,1432-0916},
mrclass = {35J10 (60J60 81C20)},
mrnumber = {910581},
mrreviewer = {Ross\ Pinsky},
url = {http://projecteuclid.org/euclid.cmp/1104160055}
}
@InCollection{ cranston.zhao:90:some,
author = {Cranston, M. and Zhao, Z.},
title = {Some regularity results and eigenfunction estimates for
the {S}chr\"{o}dinger operator},
booktitle = {Diffusion processes and related problems in analysis,
{V}ol. {I} ({E}vanston, {IL}, 1989)},
series = {Progr. Probab.},
volume = {22},
pages = {139--147},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1990},
isbn = {0-8176-3516-5},
mrclass = {35J10 (35P05 60J70 81Q05)},
mrnumber = {1110161},
mrreviewer = {Jagannathan\ Gomatam},
doi = {10.1007/978-1-4684-0564-4\_9},
url = {https://doi.org/10.1007/978-1-4684-0564-4_9}
}
@Article{ cranston:00:on,
author = {Cranston, M.},
title = {On geometric properties of stochastic flows related to the
{L}yapunov spectrum},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {118},
year = {2000},
number = {1},
pages = {1--16},
issn = {0178-8051,1432-2064},
mrclass = {58J65 (60J60)},
mrnumber = {1785450},
mrreviewer = {Ming\ Liao},
doi = {10.1007/PL00008737},
url = {https://doi.org/10.1007/PL00008737}
}
@Book{ cranston:80:on,
author = {Cranston, Michael Craig},
title = {O{N} {THE} {TAIL} {SIGMA}-{FIELD} {OF} {CERTAIN}
{DIFFUSION} {PROCESSES}},
note = {Thesis (Ph.D.)--University of Minnesota},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1980},
pages = {98},
mrclass = {99-05},
mrnumber = {2630866},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:8102082}
}
@Article{ cranston:83:invariant,
author = {Cranston, M.},
title = {Invariant {$\sigma $}-fields for a class of diffusions},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {65},
year = {1983},
number = {2},
pages = {161--180},
issn = {0044-3719},
mrclass = {60J60 (31A35 60J50)},
mrnumber = {722128},
mrreviewer = {Uwe\ R\"{o}sler},
doi = {10.1007/BF00532479},
url = {https://doi.org/10.1007/BF00532479}
}
@Article{ cranston:85:lifetime,
author = {Cranston, M.},
title = {Lifetime of conditioned {B}rownian motion in {L}ipschitz
domains},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {70},
year = {1985},
number = {3},
pages = {335--340},
issn = {0044-3719},
mrclass = {60J65 (31B05)},
mrnumber = {803674},
mrreviewer = {L.\ C. G. Rogers},
doi = {10.1007/BF00534865},
url = {https://doi.org/10.1007/BF00534865}
}
@Article{ cranston:87:on,
author = {Cranston, M.},
title = {On the means of approach to the boundary of {B}rownian
motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {15},
year = {1987},
number = {3},
pages = {1009--1013},
issn = {0091-1798,2168-894X},
mrclass = {60J45 (60G17 60J65)},
mrnumber = {893910},
mrreviewer = {Joseph\ Glover},
url = {http://links.jstor.org/sici?sici=0091-1798(198707)15:3<1009:OTMOAT>2.0.CO;2-#&origin=MSN}
}
@InCollection{ cranston:89:conditional,
author = {Cranston, M.},
title = {Conditional {B}rownian motion, {W}hitney squares and the
conditional gauge theorem},
booktitle = {Seminar on {S}tochastic {P}rocesses, 1988 ({G}ainesville,
{FL}, 1988)},
series = {Progr. Probab.},
volume = {17},
pages = {109--119},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1989},
isbn = {0-8176-3422-3},
mrclass = {60J65},
mrnumber = {990477},
mrreviewer = {Terry\ R.\ McConnell}
}
@Article{ cranston:91:gradient,
author = {Cranston, M.},
title = {Gradient estimates on manifolds using coupling},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {99},
year = {1991},
number = {1},
pages = {110--124},
issn = {0022-1236,1096-0783},
mrclass = {58G32 (53C21 60J65)},
mrnumber = {1120916},
mrreviewer = {Jacques\ Vauthier},
doi = {10.1016/0022-1236(91)90054-9},
url = {https://doi.org/10.1016/0022-1236(91)90054-9}
}
@InCollection{ cranston:92:in,
author = {Cranston, M.},
title = {In memory of {S}teven {O}rey},
booktitle = {Seminar on {S}tochastic {P}rocesses, 1991 ({L}os
{A}ngeles, {CA}, 1991)},
series = {Progr. Probab.},
volume = {29},
pages = {1--5, 244--247},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1992},
isbn = {0-8176-3628-5},
mrclass = {01A70},
mrnumber = {1172138}
}
@InCollection{ cranston:92:on,
author = {Cranston, M.},
title = {On specifying invariant {$\sigma$}-fields},
booktitle = {Seminar on {S}tochastic {P}rocesses, 1991 ({L}os
{A}ngeles, {CA}, 1991)},
series = {Progr. Probab.},
volume = {29},
pages = {15--37},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1992},
isbn = {0-8176-3628-5},
mrclass = {60J60},
mrnumber = {1172140},
mrreviewer = {Uwe\ R\"{o}sler}
}
@Article{ cranston:92:probabilistic,
author = {Cranston, M.},
title = {A probabilistic approach to gradient estimates},
journal = {Canad. Math. Bull.},
fjournal = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'{e}matiques},
volume = {35},
year = {1992},
number = {1},
pages = {46--55},
issn = {0008-4395,1496-4287},
mrclass = {35B45 (60J60 60J65)},
mrnumber = {1157463},
mrreviewer = {L.\ C. G. Rogers},
doi = {10.4153/CMB-1992-007-6},
url = {https://doi.org/10.4153/CMB-1992-007-6}
}
@Article{ cranston:93:probabilistic,
author = {Cranston, M.},
title = {A probabilistic approach to {M}artin boundaries for
manifolds with ends},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {96},
year = {1993},
number = {3},
pages = {319--334},
issn = {0178-8051,1432-2064},
mrclass = {58G32 (60J50 60J65)},
mrnumber = {1231927},
doi = {10.1007/BF01292675},
url = {https://doi.org/10.1007/BF01292675}
}
@Article{ crauel.debussche.ea:97:random,
author = {Crauel, Hans and Debussche, Arnaud and Flandoli, Franco},
title = {Random attractors},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {9},
year = {1997},
number = {2},
pages = {307--341},
issn = {1040-7294,1572-9222},
mrclass = {60H15 (35B40 35Qxx 35R60 47H20 58F11 58F12 76D05)},
mrnumber = {1451294},
mrreviewer = {Bj\"{o}rn\ Schmalfuss},
doi = {10.1007/BF02219225},
url = {https://doi.org/10.1007/BF02219225}
}
@Article{ crauel.flandoli:94:attractors,
author = {Crauel, Hans and Flandoli, Franco},
title = {Attractors for random dynamical systems},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {100},
year = {1994},
number = {3},
pages = {365--393},
issn = {0178-8051,1432-2064},
mrclass = {58F11 (34D45 35Q99 58F12 58F39 60H15)},
mrnumber = {1305587},
mrreviewer = {Bohdan\ Maslowski},
doi = {10.1007/BF01193705},
url = {https://doi.org/10.1007/BF01193705}
}
@InCollection{ crauel.flandoli:95:dissipativity,
author = {Crauel, Hans and Flandoli, Franco},
title = {Dissipativity of three-dimensional stochastic
{N}avier-{S}tokes equation},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications ({A}scona, 1993)},
series = {Progr. Probab.},
volume = {36},
pages = {67--76},
publisher = {Birkh\"{a}user, Basel},
year = {1995},
isbn = {3-7643-5241-8},
mrclass = {35Q30 (34D45 34G20 35R60 47H20 58F39 60H15 76D05)},
mrnumber = {1360267},
mrreviewer = {Marek\ Capi\'{n}ski}
}
@Article{ crauel.flandoli:98:additive,
author = {Crauel, Hans and Flandoli, Franco},
title = {Additive noise destroys a pitchfork bifurcation},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {10},
year = {1998},
number = {2},
pages = {259--274},
issn = {1040-7294,1572-9222},
mrclass = {58F12 (34C23 34F05 60H10)},
mrnumber = {1623013},
mrreviewer = {Bohdan\ Maslowski},
doi = {10.1023/A:1022665916629},
url = {https://doi.org/10.1023/A:1022665916629}
}
@Article{ crauel.flandoli:98:hausdorff,
author = {Crauel, Hans and Flandoli, Franco},
title = {Hausdorff dimension of invariant sets for random dynamical
systems},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {10},
year = {1998},
number = {3},
pages = {449--474},
issn = {1040-7294,1572-9222},
mrclass = {58F12 (28A78 34C35 34G20 35Q30)},
mrnumber = {1646622},
mrreviewer = {Arnaud\ Debussche},
doi = {10.1023/A:1022605313961},
url = {https://doi.org/10.1023/A:1022605313961}
}
@InCollection{ crighton:95:applications,
author = {Crighton, D. G.},
title = {Applications of {K}d{V}},
note = {KdV '95 (Amsterdam, 1995)},
journal = {Acta Appl. Math.},
fjournal = {Acta Applicandae Mathematicae},
volume = {39},
year = {1995},
number = {1-3},
pages = {39--67},
issn = {0167-8019},
mrclass = {35Q53 (58F07 76B15 76Q05 76W05)},
mrnumber = {1329553},
doi = {10.1007/BF00994625},
url = {https://doi.org/10.1007/BF00994625}
}
@Article{ crisan.flandoli.ea:19:solution,
author = {Crisan, Dan and Flandoli, Franco and Holm, Darryl D.},
title = {Solution properties of a 3{D} stochastic {E}uler fluid
equation},
journal = {J. Nonlinear Sci.},
fjournal = {Journal of Nonlinear Science},
volume = {29},
year = {2019},
number = {3},
pages = {813--870},
issn = {0938-8974,1432-1467},
mrclass = {60H15 (35Q31 35R60 60H30 76B03)},
mrnumber = {3948949},
mrreviewer = {Stefano\ Bonaccorsi},
doi = {10.1007/s00332-018-9506-6},
url = {https://doi.org/10.1007/s00332-018-9506-6}
}
@Article{ crisan.otobe.ea:15:inverse,
author = {Crisan, Dan and Otobe, Yoshiki and Peszat, Szymon},
title = {Inverse problems for stochastic transport equations},
journal = {Inverse Problems},
fjournal = {Inverse Problems. An International Journal on the Theory
and Practice of Inverse Problems, Inverse Methods and
Computerized Inversion of Data},
volume = {31},
year = {2015},
number = {1},
pages = {015005, 20},
issn = {0266-5611,1361-6420},
mrclass = {35R30 (35K15 35R60 60H15)},
mrnumber = {3302366},
mrreviewer = {Masayoshi\ Tsutsumi},
doi = {10.1088/0266-5611/31/1/015005},
url = {https://doi.org/10.1088/0266-5611/31/1/015005}
}
@Article{ cruzeiro.flandoli.ea:07:brownian,
author = {Cruzeiro, Ana-Bela and Flandoli, Franco and Malliavin,
Paul},
title = {Brownian motion on volume preserving diffeomorphisms group
and existence of global solutions of 2{D} stochastic
{E}uler equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {242},
year = {2007},
number = {1},
pages = {304--326},
issn = {0022-1236,1096-0783},
mrclass = {60J65 (37K65 58D05 58J65 76B03 76M35)},
mrnumber = {2274026},
mrreviewer = {Robert\ Otto\ Bauer},
doi = {10.1016/j.jfa.2006.06.010},
url = {https://doi.org/10.1016/j.jfa.2006.06.010}
}
@Article{ cruzeiro:89:solutions,
author = {Cruzeiro, Ana Bela},
title = {Solutions et mesures invariantes pour des \'{e}quations
d'\'{e}volution stochastiques du type {N}avier-{S}tokes},
journal = {Exposition. Math.},
fjournal = {Expositiones Mathematicae. International Journal for Pure
and Applied Mathematics},
volume = {7},
year = {1989},
number = {1},
pages = {73--82},
issn = {0723-0869},
mrclass = {35Q10 (35R60 60H15 76D05)},
mrnumber = {982157},
mrreviewer = {Rodolfo Salvi}
}
@Article{ csaki.khoshnevisan.ea:00:boundary,
author = {Cs\'{a}ki, Endre and Khoshnevisan, Davar and Shi, Zhan},
title = {Boundary crossings and the distribution function of the
maximum of {B}rownian sheet},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {90},
year = {2000},
number = {1},
pages = {1--18},
issn = {0304-4149},
mrclass = {60G60 (60G70)},
mrnumber = {1787122},
mrreviewer = {Robert G. Smits},
doi = {10.1016/S0304-4149(00)00031-4},
url = {https://doi.org/10.1016/S0304-4149(00)00031-4}
}
@Article{ csaki.khoshnevisan.ea:99:capacity,
author = {Cs\'{a}ki, Endre and Khoshnevisan, Davar and Shi, Zhan},
title = {Capacity estimates, boundary crossings and the
{O}rnstein-{U}hlenbeck process in {W}iener space},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {4},
year = {1999},
pages = {103--109},
issn = {1083-589X},
mrclass = {60G15 (60G40 60G60 60J45 60J65)},
mrnumber = {1741736},
mrreviewer = {Shi Zan Fang},
doi = {10.1214/ECP.v4-1011},
url = {https://doi.org/10.1214/ECP.v4-1011}
}
@Article{ csorgo.revesz:78:how,
author = {Cs\"{o}rg\H{o}, M. and R\'{e}v\'{e}sz, P.},
title = {How small are the increments of a {W}iener process?},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {8},
year = {1978},
number = {2},
pages = {119--129},
issn = {0304-4149,1879-209X},
mrclass = {60F15 (60G17 60J65)},
mrnumber = {520824},
mrreviewer = {S.\ J.\ Taylor},
doi = {10.1016/0304-4149(78)90001-7},
url = {https://doi.org/10.1016/0304-4149(78)90001-7}
}
@InCollection{ csorgo.revesz:81:on,
author = {Cs\"{o}rg\H{o}, M. and R\'{e}v\'{e}sz, P.},
title = {On the nondifferentiability of the {W}iener sheet},
booktitle = {Contributions to probability},
pages = {143--150},
publisher = {Academic Press, New York-London},
year = {1981},
isbn = {0-12-274460-8},
mrclass = {60G17 (60J65)},
mrnumber = {618684},
mrreviewer = {M.\ D.\ Burke}
}
@Article{ csorgo:81:limit,
author = {Cs\"{o}rg\H{o}, S\'{a}ndor},
title = {Limit behaviour of the empirical characteristic function},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {9},
year = {1981},
number = {1},
pages = {130--144},
issn = {0091-1798},
mrclass = {60F15 (62G99)},
mrnumber = {606802},
mrreviewer = {Jon A. Wellner},
url = {http://links.jstor.org/sici?sici=0091-1798(198102)9:1<130:LBOTEC>2.0.CO;2-7&origin=MSN}
}
@Article{ cuevas.silva.ea:20:on,
author = {Cuevas, Claudio and Silva, Clessius and Soto, Herme},
title = {On the time-fractional {K}eller-{S}egel model for
chemotaxis},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {43},
year = {2020},
number = {2},
pages = {769--798},
issn = {0170-4214},
mrclass = {35R11 (92C17)},
mrnumber = {4056463},
doi = {10.1002/mma.5959},
url = {https://doi.org/10.1002/mma.5959}
}
@Article{ culik:65:use,
author = {\v{C}ul\'{i}k, K.},
title = {The use of abstract semantics and theory of graphs in
multilingual translation dictionaries},
journal = {Problemy Kibernet.},
fjournal = {Problemy Kibernetiki},
volume = {13},
year = {1965},
pages = {221--232},
mrclass = {94.50},
mrnumber = {202506},
mrreviewer = {R. See}
}
@Article{ cuneo.eckmann.ea:18:non-equilibrium,
author = {Cuneo, No\'{e} and Eckmann, Jean-Pierre and Hairer, Martin
and Rey-Bellet, Luc},
title = {Non-equilibrium steady states for networks of
oscillators},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {23},
year = {2018},
pages = {Paper No. 55, 28,},
mrclass = {82C05 (34C15 60B10 60H10)},
mrnumber = {3814249},
doi = {10.1214/18-ejp177},
url = {https://doi.org/10.1214/18-ejp177}
}
@Article{ cuzick.dupreez:82:joint,
author = {Cuzick, Jack and DuPreez, Johannes P.},
title = {Joint continuity of {G}aussian local times},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {10},
year = {1982},
number = {3},
pages = {810--817},
issn = {0091-1798},
mrclass = {60G15 (60G17)},
mrnumber = {659550},
mrreviewer = {Simeon M. Berman},
url = {http://links.jstor.org/sici?sici=0091-1798(198208)10:3<810:JCOGLT>2.0.CO;2-O&origin=MSN}
}
@Book{ cycon.froese.ea:87:schrodinger,
author = {Cycon, H. L. and Froese, R. G. and Kirsch, W. and Simon,
B.},
title = {Schr\"odinger operators with application to quantum
mechanics and global geometry},
series = {Texts and Monographs in Physics},
edition = {Study},
publisher = {Springer-Verlag, Berlin},
year = {1987},
pages = {x+319},
isbn = {3-540-16758-7},
mrclass = {35-02 (35J10 47F05 58G40 81C10)},
mrnumber = {883643},
mrreviewer = {M.\ Demuth}
}
@Article{ da-prato.debussche.ea:02:some,
author = {Da Prato, Giuseppe and Debussche, Arnaud and Goldys,
Beniamin},
title = {Some properties of invariant measures of non symmetric
dissipative stochastic systems},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {123},
year = {2002},
number = {3},
pages = {355--380},
issn = {0178-8051,1432-2064},
mrclass = {60H15 (35K57 35R60 37L40)},
mrnumber = {1918538},
mrreviewer = {Catherine\ Donati-Martin},
doi = {10.1007/s004400100188},
url = {https://doi.org/10.1007/s004400100188}
}
@Article{ da-prato.debussche.ea:07:modified,
author = {Da Prato, Giuseppe and Debussche, Arnaud and Tubaro,
Luciano},
title = {A modified {K}ardar-{P}arisi-{Z}hang model},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {12},
year = {2007},
pages = {442--453},
issn = {1083-589X},
mrclass = {60H15 (82C31)},
mrnumber = {2365646},
mrreviewer = {Vivek S. Borkar},
doi = {10.1214/ECP.v12-1333},
url = {https://doi.org/10.1214/ECP.v12-1333}
}
@Article{ da-prato.debussche.ea:94:stochastic,
author = {Da Prato, Giuseppe and Debussche, Arnaud and Temam,
Roger},
title = {Stochastic {B}urgers' equation},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {1},
year = {1994},
number = {4},
pages = {389--402},
issn = {1021-9722},
mrclass = {35R60 (35Q53 60H15)},
mrnumber = {1300149},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/BF01194987},
url = {https://doi.org/10.1007/BF01194987}
}
@Article{ da-prato.debussche:02:two-dimensional,
author = {Da Prato, Giuseppe and Debussche, Arnaud},
title = {Two-dimensional {N}avier-{S}tokes equations driven by a
space-time white noise},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {196},
year = {2002},
number = {1},
pages = {180--210},
issn = {0022-1236},
mrclass = {35Q30 (35R60 60H40 76D05 76M35)},
mrnumber = {1941997},
mrreviewer = {Peter E. Kloeden},
doi = {10.1006/jfan.2002.3919},
url = {https://doi.org/10.1006/jfan.2002.3919}
}
@Article{ da-prato.debussche:03:strong,
author = {Da Prato, Giuseppe and Debussche, Arnaud},
title = {Strong solutions to the stochastic quantization
equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {4},
pages = {1900--1916},
issn = {0091-1798},
mrclass = {81S20 (28C20 42B05)},
mrnumber = {2016604},
doi = {10.1214/aop/1068646370},
url = {https://doi.org/10.1214/aop/1068646370}
}
@Article{ da-prato.debussche:20:gradient,
author = {Da Prato, Giuseppe and Debussche, Arnaud},
title = {Gradient estimates and maximal dissipativity for the
{K}olmogorov operator in {$\Phi^4_2$}},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {25},
year = {2020},
pages = {Paper No. 9, 16},
mrclass = {60H15 (35R60 81S20)},
mrnumber = {4066302},
doi = {10.1214/20-ecp294},
url = {https://doi.org/10.1214/20-ecp294}
}
@Article{ da-prato.elworthy.ea:95:strong,
author = {Da Prato, G. and Elworthy, K. D. and Zabczyk, J.},
title = {Strong {F}eller property for stochastic semilinear
equations},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {13},
year = {1995},
number = {1},
pages = {35--45},
issn = {0736-2994},
mrclass = {60H15 (34F05 34G20 47N20)},
mrnumber = {1313205},
mrreviewer = {Bohdan Maslowski},
doi = {10.1080/07362999508809381},
url = {https://doi.org/10.1080/07362999508809381}
}
@Article{ da-prato.flandoli.ea:13:fokker-planck,
author = {Da Prato, G. and Flandoli, F. and R\"{o}ckner, M.},
title = {Fokker-{P}lanck equations for {SPDE} with non-trace-class
noise},
journal = {Commun. Math. Stat.},
fjournal = {Communications in Mathematics and Statistics},
volume = {1},
year = {2013},
number = {3},
pages = {281--304},
issn = {2194-6701,2194-671X},
mrclass = {35Q84 (35Q30 35R60 60H15)},
mrnumber = {3197468},
mrreviewer = {Edgard\ Pimentel},
doi = {10.1007/s40304-013-0015-5},
url = {https://doi.org/10.1007/s40304-013-0015-5}
}
@Article{ da-prato.flandoli.ea:13:strong,
author = {Da Prato, G. and Flandoli, F. and Priola, E. and
R\"{o}ckner, M.},
title = {Strong uniqueness for stochastic evolution equations in
{H}ilbert spaces perturbed by a bounded measurable drift},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {5},
pages = {3306--3344},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (35A02 35R60)},
mrnumber = {3127884},
mrreviewer = {Dora\ Sele\v{s}i},
doi = {10.1214/12-AOP763},
url = {https://doi.org/10.1214/12-AOP763}
}
@Article{ da-prato.flandoli.ea:14:uniqueness,
author = {Da Prato, Giuseppe and Flandoli, Franco and R\"{o}ckner,
Michael},
title = {Uniqueness for continuity equations in {H}ilbert spaces
with weakly differentiable drift},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {2},
year = {2014},
number = {2},
pages = {121--145},
issn = {2194-0401,2194-041X},
mrclass = {35F10 (35A02 58D20 60H07)},
mrnumber = {3249582},
doi = {10.1007/s40072-014-0031-9},
url = {https://doi.org/10.1007/s40072-014-0031-9}
}
@Article{ da-prato.flandoli.ea:15:strong,
author = {Da Prato, G. and Flandoli, F. and Priola, E. and
R\"{o}ckner, M.},
title = {Strong uniqueness for stochastic evolution equations with
unbounded measurable drift term},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {28},
year = {2015},
number = {4},
pages = {1571--1600},
issn = {0894-9840,1572-9230},
mrclass = {60H15 (35A02 35R60 60H10)},
mrnumber = {3422943},
mrreviewer = {Dirk\ Bl\"{o}mker},
doi = {10.1007/s10959-014-0545-0},
url = {https://doi.org/10.1007/s10959-014-0545-0}
}
@Article{ da-prato.flandoli.ea:16:strong,
author = {Da Prato, G. and Flandoli, F. and R\"{o}ckner, M. and
Veretennikov, A. Yu.},
title = {Strong uniqueness for {SDE}s in {H}ilbert spaces with
nonregular drift},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {3},
pages = {1985--2023},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (31C25 35R60 60J25)},
mrnumber = {3502599},
mrreviewer = {Isamu\ D\^{o}ku},
doi = {10.1214/15-AOP1016},
url = {https://doi.org/10.1214/15-AOP1016}
}
@Article{ da-prato.flandoli.ea:19:absolutely,
author = {Da Prato, Giuseppe and Flandoli, Franco and R\"{o}ckner,
Michael},
title = {Absolutely continuous solutions for continuity equations
in {H}ilbert spaces},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {128},
year = {2019},
pages = {42--86},
issn = {0021-7824,1776-3371},
mrclass = {35F05 (58D20 60H07)},
mrnumber = {3980844},
doi = {10.1016/j.matpur.2019.06.010},
url = {https://doi.org/10.1016/j.matpur.2019.06.010}
}
@Article{ da-prato.flandoli.ea:21:continuity,
author = {Da Prato, Giuseppe and Flandoli, Franco and R\"{o}ckner,
Michael},
title = {Continuity equation in {L}log{L} for the 2{D} {E}uler
equations under the enstrophy measure},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {9},
year = {2021},
number = {2},
pages = {491--509},
issn = {2194-0401,2194-041X},
mrclass = {35Q31 (76B03)},
mrnumber = {4261332},
mrreviewer = {Xinyu\ He},
doi = {10.1007/s40072-020-00173-8},
url = {https://doi.org/10.1007/s40072-020-00173-8}
}
@Article{ da-prato.flandoli:10:pathwise,
author = {Da Prato, G. and Flandoli, F.},
title = {Pathwise uniqueness for a class of {SDE} in {H}ilbert
spaces and applications},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {259},
year = {2010},
number = {1},
pages = {243--267},
issn = {0022-1236},
mrclass = {60H10 (46N30)},
mrnumber = {2610386},
mrreviewer = {Ruhollah Jahanipur},
doi = {10.1016/j.jfa.2009.11.019},
url = {https://doi.org/10.1016/j.jfa.2009.11.019}
}
@InCollection{ da-prato.fuhrman.ea:02:note,
author = {Da Prato, Giuseppe and Fuhrman, Marco and Zabczyk, Jerzy},
title = {A note on regularizing properties of
{O}rnstein-{U}hlenbeck semigroups in infinite dimensions},
booktitle = {Stochastic partial differential equations and applications
({T}rento, 2002)},
series = {Lecture Notes in Pure and Appl. Math.},
volume = {227},
pages = {167--182},
publisher = {Dekker, New York},
year = {2002},
mrclass = {60H07 (47D07 60G15)},
mrnumber = {1919508},
mrreviewer = {Wilhelm Stannat}
}
@Article{ da-prato.g-atarek.ea:92:invariant,
author = {Da Prato, Giuseppe and G\polhk atarek, D. and Zabczyk,
Jerzy},
title = {Invariant measures for semilinear stochastic equations},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {10},
year = {1992},
number = {4},
pages = {387--408},
issn = {0736-2994},
mrclass = {60H15 (60H10)},
mrnumber = {1178482},
mrreviewer = {Bohdan Maslowski},
doi = {10.1080/07362999208809278},
url = {https://doi.org/10.1080/07362999208809278}
}
@Article{ da-prato.goldys.ea:97:ornstein-uhlenbeck,
author = {Da Prato, Giuseppe and Goldys, Beniamin and Zabczyk,
Jerzy},
title = {Ornstein-{U}hlenbeck semigroups in open sets of {H}ilbert
spaces},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {325},
year = {1997},
number = {4},
pages = {433--438},
issn = {0764-4442},
mrclass = {60H10 (47D07 47N30 60J35)},
mrnumber = {1467101},
doi = {10.1016/S0764-4442(97)85631-5},
url = {https://doi.org/10.1016/S0764-4442(97)85631-5}
}
@Article{ da-prato.goldys:01:elliptic,
author = {Da Prato, Giuseppe and Goldys, Beniamin},
title = {Elliptic operators on {${\Bbb R}^d$} with unbounded
coefficients},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {172},
year = {2001},
number = {2},
pages = {333--358},
issn = {0022-0396,1090-2732},
mrclass = {35R60 (35B40 35B65 35J15 47D07 60H10)},
mrnumber = {1829633},
mrreviewer = {Vitaly\ A.\ Volpert},
doi = {10.1006/jdeq.2000.3866},
url = {https://doi.org/10.1006/jdeq.2000.3866}
}
@Article{ da-prato.kwapien.ea:87:regularity,
author = {Da Prato, G. and Kwapie\'{n}, S. and Zabczyk, J.},
title = {Regularity of solutions of linear stochastic equations in
{H}ilbert spaces},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {23},
year = {1987},
number = {1},
pages = {1--23},
issn = {0090-9491},
mrclass = {60H20 (47D05)},
mrnumber = {920798},
mrreviewer = {Constantin Tudor},
doi = {10.1080/17442508708833480},
url = {https://doi.org/10.1080/17442508708833480}
}
@Article{ da-prato.malliavin.ea:92:compact,
author = {Da Prato, Giuseppe and Malliavin, Paul and Nualart,
David},
title = {Compact families of {W}iener functionals},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {315},
year = {1992},
number = {12},
pages = {1287--1291},
issn = {0764-4442},
mrclass = {60H10 (46N30)},
mrnumber = {1194537},
mrreviewer = {Ana Bela Cruzeiro}
}
@Article{ da-prato.pritchard.ea:91:on,
author = {Da Prato, G. and Pritchard, A. J. and Zabczyk, J.},
title = {On minimum energy problems},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {29},
year = {1991},
number = {1},
pages = {209--221},
issn = {0363-0129},
mrclass = {49K45 (49N10 60H10 93E20)},
mrnumber = {1088228},
mrreviewer = {Arie Leizarowitz},
doi = {10.1137/0329012},
url = {https://doi.org/10.1137/0329012}
}
@Article{ da-prato.rockner:02:singular,
author = {Da Prato, Giuseppe and R\"{o}ckner, Michael},
title = {Singular dissipative stochastic equations in {H}ilbert
spaces},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {124},
year = {2002},
number = {2},
pages = {261--303},
issn = {0178-8051},
mrclass = {60H15 (47D07 47N30)},
mrnumber = {1936019},
mrreviewer = {Sandra Cerrai},
doi = {10.1007/s004400200214},
url = {https://doi.org/10.1007/s004400200214}
}
@Book{ da-prato.rockner:08:spde,
author = {Da Prato, Giuseppe and R\"{o}ckner, Michael},
title = {S{PDE} in hydrodynamic: recent progress and prospects},
series = {Lecture Notes in Mathematics},
volume = {1942},
note = {Lectures given at the C.I.M.E. Summer School held in
Cetraro, August 29--September 3, 2005},
publisher = {Springer-Verlag, Berlin; Fondazione C.I.M.E., Florence},
year = {2008},
pages = {viii+166},
isbn = {978-3-540-78492-0},
mrclass = {76M35 (60-06 60H15 76-06 76D05)},
mrnumber = {2459087},
doi = {10.1007/978-3-540-78493-7},
url = {https://doi.org/10.1007/978-3-540-78493-7}
}
@Article{ da-prato.tubaro:00:self-adjointness,
author = {Da Prato, Giuseppe and Tubaro, Luciano},
title = {Self-adjointness of some infinite-dimensional elliptic
operators and application to stochastic quantization},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {118},
year = {2000},
number = {1},
pages = {131--145},
issn = {0178-8051},
mrclass = {47B25 (81S20)},
mrnumber = {1785456},
mrreviewer = {Vladimir I. Bogachev},
doi = {10.1007/PL00008739},
url = {https://doi.org/10.1007/PL00008739}
}
@Article{ da-prato.tubaro:96:fully,
author = {Da Prato, G. and Tubaro, L.},
title = {Fully nonlinear stochastic partial differential
equations},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {27},
year = {1996},
number = {1},
pages = {40--55},
issn = {0036-1410},
mrclass = {60H15 (35R60)},
mrnumber = {1373145},
mrreviewer = {Ya. \={I}. B\={\i}lopol{\cprime}s{\cprime}ka},
doi = {10.1137/S0036141093256769},
url = {https://doi.org/10.1137/S0036141093256769}
}
@Book{ da-prato.zabczyk:02:second,
author = {Da Prato, Giuseppe and Zabczyk, Jerzy},
title = {Second order partial differential equations in {H}ilbert
spaces},
series = {London Mathematical Society Lecture Note Series},
volume = {293},
publisher = {Cambridge University Press, Cambridge},
year = {2002},
pages = {xvi+379},
isbn = {0-521-77729-1},
mrclass = {47D06 (28C20 35R15 46G12 47D07 47N20 93C20)},
mrnumber = {1985790},
mrreviewer = {Sandra Cerrai},
doi = {10.1017/CBO9780511543210},
url = {https://doi.org/10.1017/CBO9780511543210}
}
@Book{ da-prato.zabczyk:14:stochastic,
author = {Da Prato, Giuseppe and Zabczyk, Jerzy},
title = {Stochastic equations in infinite dimensions},
series = {Encyclopedia of Mathematics and its Applications},
volume = {152},
edition = {Second},
publisher = {Cambridge University Press, Cambridge},
year = {2014},
pages = {xviii+493},
isbn = {978-1-107-05584-1},
mrclass = {60H15 (34F05 34Gxx)},
mrnumber = {3236753},
mrreviewer = {David Nualart},
doi = {10.1017/CBO9781107295513},
url = {https://doi.org/10.1017/CBO9781107295513}
}
@Article{ da-prato.zabczyk:88:note,
author = {Da Prato, G. and Zabczyk, J.},
title = {A note on semilinear stochastic equations},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory and Applications},
volume = {1},
year = {1988},
number = {2},
pages = {143--155},
issn = {0893-4983},
mrclass = {60H20 (34F05 35R60 47H20 93E03)},
mrnumber = {922558},
mrreviewer = {Constantin Tudor}
}
@Article{ da-prato.zabczyk:91:smoothing,
author = {Da Prato, Giuseppe and Zabczyk, Jerzy},
title = {Smoothing properties of transition semigroups in {H}ilbert
spaces},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {35},
year = {1991},
number = {2},
pages = {63--77},
issn = {1045-1129},
mrclass = {60J45 (46G12 47D03 47N30 60H07 60H10)},
mrnumber = {1110991},
mrreviewer = {Yuh-Jia Lee},
doi = {10.1080/17442509108833690},
url = {https://doi.org/10.1080/17442509108833690}
}
@Article{ da-prato.zabczyk:92:nonexplosion,
author = {Da Prato, Giuseppe and Zabczyk, Jerzy},
title = {Nonexplosion, boundedness, and ergodicity for stochastic
semilinear equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {98},
year = {1992},
number = {1},
pages = {181--195},
issn = {0022-0396},
mrclass = {60H15 (34F05 35R60)},
mrnumber = {1168978},
mrreviewer = {Ralf Manthey},
doi = {10.1016/0022-0396(92)90111-Y},
url = {https://doi.org/10.1016/0022-0396(92)90111-Y}
}
@Article{ da-prato.zabczyk:92:note,
author = {Da Prato, Giuseppe and Zabczyk, Jerzy},
title = {A note on stochastic convolution},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {10},
year = {1992},
number = {2},
pages = {143--153},
issn = {0736-2994},
mrclass = {60H15 (34F05 34G10 47N30)},
mrnumber = {1154532},
mrreviewer = {P. Kotelenez},
doi = {10.1080/07362999208809260},
url = {https://doi.org/10.1080/07362999208809260}
}
@InCollection{ da-prato.zabczyk:92:on,
author = {Da Prato, Giuseppe and Zabczyk, Jerzy},
title = {On invariant measure for semilinear equations with
dissipative nonlinearities},
booktitle = {Stochastic partial differential equations and their
applications ({C}harlotte, {NC}, 1991)},
series = {Lect. Notes Control Inf. Sci.},
volume = {176},
pages = {38--42},
publisher = {Springer, Berlin},
year = {1992},
mrclass = {60H15 (34F05 34G10 47N20)},
mrnumber = {1176769},
doi = {10.1007/BFb0007318},
url = {https://doi.org/10.1007/BFb0007318}
}
@Book{ da-prato.zabczyk:92:stochastic,
author = {Da Prato, Giuseppe and Zabczyk, Jerzy},
title = {Stochastic equations in infinite dimensions},
series = {Encyclopedia of Mathematics and its Applications},
volume = {44},
publisher = {Cambridge University Press, Cambridge},
year = {1992},
pages = {xviii+454},
isbn = {0-521-38529-6},
mrclass = {60H15 (34F05 34Gxx 35R15 35R60 46G12 47N20)},
mrnumber = {1207136},
mrreviewer = {P. Kotelenez},
doi = {10.1017/CBO9780511666223},
url = {https://doi.org/10.1017/CBO9780511666223}
}
@Article{ da-prato.zabczyk:93:evolution,
author = {Da Prato, G. and Zabczyk, J.},
title = {Evolution equations with white-noise boundary conditions},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {42},
year = {1993},
number = {3-4},
pages = {167--182},
issn = {1045-1129},
mrclass = {60H15 (34F05 35R60)},
mrnumber = {1291187},
mrreviewer = {Ralf Manthey},
doi = {10.1080/17442509308833817},
url = {https://doi.org/10.1080/17442509308833817}
}
@Article{ da-prato.zabczyk:95:convergence,
author = {Da Prato, G. and Zabczyk, J.},
title = {Convergence to equilibrium for classical and quantum spin
systems},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {103},
year = {1995},
number = {4},
pages = {529--552},
issn = {0178-8051},
mrclass = {60H15 (35K55 47N55 60K35 82C10)},
mrnumber = {1360204},
mrreviewer = {G. Leha},
doi = {10.1007/BF01246338},
url = {https://doi.org/10.1007/BF01246338}
}
@Article{ da-prato.zabczyk:95:regular,
author = {Da Prato, Giuseppe and Zabczyk, Jerzy},
title = {Regular densities of invariant measures in {H}ilbert
spaces},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {130},
year = {1995},
number = {2},
pages = {427--449},
issn = {0022-1236},
mrclass = {46G12 (28C20 34F05 34G20 47D07 60H10)},
mrnumber = {1335387},
mrreviewer = {Denis R. Bell},
doi = {10.1006/jfan.1995.1076},
url = {https://doi.org/10.1006/jfan.1995.1076}
}
@Book{ da-prato.zabczyk:96:ergodicity,
author = {Da Prato, G. and Zabczyk, J.},
title = {Ergodicity for infinite-dimensional systems},
series = {London Mathematical Society Lecture Note Series},
volume = {229},
publisher = {Cambridge University Press, Cambridge},
year = {1996},
pages = {xii+339},
isbn = {0-521-57900-7},
mrclass = {60H15 (28D05 60J25 60J35)},
mrnumber = {1417491},
mrreviewer = {Bohdan Maslowski},
doi = {10.1017/CBO9780511662829},
url = {https://doi.org/10.1017/CBO9780511662829}
}
@Article{ da-prato.zabczyk:97:differentiability,
author = {Da Prato, Giuseppe and Zabczyk, Jerzy},
title = {Differentiability of the {F}eynman-{K}ac semigroup and a
control application},
journal = {Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend.
Lincei (9) Mat. Appl.},
fjournal = {Atti della Accademia Nazionale dei Lincei. Classe di
Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei.
Serie IX. Matematica e Applicazioni},
volume = {8},
year = {1997},
number = {3},
pages = {183--188},
issn = {1120-6330},
mrclass = {49L20 (35R15 47D06 47N70)},
mrnumber = {1611613},
mrreviewer = {Piermarco Cannarsa}
}
@InCollection{ da-prato:02:monotone,
author = {Da Prato, G.},
title = {Monotone gradient systems in {$L^2$} spaces},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications, {III} ({A}scona, 1999)},
series = {Progr. Probab.},
volume = {52},
pages = {73--88},
publisher = {Birkh\"{a}user, Basel},
year = {2002},
mrclass = {47D07 (34G10 35K90 47B25 60H10)},
mrnumber = {1958810},
mrreviewer = {Sandra Cerrai}
}
@Book{ dacorogna:15:introduction,
author = {Dacorogna, Bernard},
title = {Introduction to the calculus of variations},
edition = {Third},
publisher = {Imperial College Press, London},
year = {2015},
pages = {x+311},
isbn = {978-1-78326-551-0},
mrclass = {49-01 (49-02)},
mrnumber = {3288348},
mrreviewer = {Giuseppe Buttazzo}
}
@Article{ dahlberg.kenig.ea:97:area,
author = {Dahlberg, B. E. J. and Kenig, C. E. and Pipher, J. and
Verchota, G. C.},
title = {Area integral estimates for higher order elliptic
equations and systems},
journal = {Ann. Inst. Fourier (Grenoble)},
fjournal = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
volume = {47},
year = {1997},
number = {5},
pages = {1425--1461},
issn = {0373-0956},
mrclass = {35J30 (35B50 35J50 42B25)},
mrnumber = {1600375},
mrreviewer = {G. Albinus},
url = {http://www.numdam.org/item?id=AIF_1997__47_5_1425_0}
}
@Article{ dahlberg.kenig:87:hardy,
author = {Dahlberg, Bj\"{o}rn E. J. and Kenig, Carlos E.},
title = {Hardy spaces and the {N}eumann problem in {$L^p$} for
{L}aplace's equation in {L}ipschitz domains},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {125},
year = {1987},
number = {3},
pages = {437--465},
issn = {0003-486X},
mrclass = {35J05 (46E35)},
mrnumber = {890159},
mrreviewer = {H. Triebel},
doi = {10.2307/1971407},
url = {https://doi.org/10.2307/1971407}
}
@Article{ dahlberg:77:estimates,
author = {Dahlberg, Bj\"{o}rn E. J.},
title = {Estimates of harmonic measure},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {65},
year = {1977},
number = {3},
pages = {275--288},
issn = {0003-9527},
mrclass = {31B15},
mrnumber = {466593},
mrreviewer = {W. P. Ziemer},
doi = {10.1007/BF00280445},
url = {https://doi.org/10.1007/BF00280445}
}
@Article{ dahlberg:79:lq-estimates,
author = {Dahlberg, Bj\"{o}rn E. J.},
title = {{$L^{q}$}-estimates for {G}reen potentials in {L}ipschitz
domains},
journal = {Math. Scand.},
fjournal = {Mathematica Scandinavica},
volume = {44},
year = {1979},
number = {1},
pages = {149--170},
issn = {0025-5521},
mrclass = {31B15},
mrnumber = {544584},
mrreviewer = {Jang Mei G. Wu},
doi = {10.7146/math.scand.a-11800},
url = {https://doi.org/10.7146/math.scand.a-11800}
}
@Article{ dahlke.devore:97:besov,
author = {Dahlke, Stephan and DeVore, Ronald A.},
title = {Besov regularity for elliptic boundary value problems},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {22},
year = {1997},
number = {1-2},
pages = {1--16},
issn = {0360-5302},
mrclass = {35J25 (31B10 35B65 46N20 65N30)},
mrnumber = {1434135},
doi = {10.1080/03605309708821252},
url = {https://doi.org/10.1080/03605309708821252}
}
@Article{ dai.liu.ea:08:quantization,
author = {Dai, Wei and Liu, Youjian and Rider, Brian},
title = {Quantization bounds on {G}rassmann manifolds and
applications to {MIMO} communications},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {54},
year = {2008},
number = {3},
pages = {1108--1123},
issn = {0018-9448},
mrclass = {94A29 (14G50 51M35 68P30 94A14)},
mrnumber = {2445054},
mrreviewer = {Luca Giuzzi},
doi = {10.1109/TIT.2007.915691},
url = {https://doi.org/10.1109/TIT.2007.915691}
}
@Article{ dai.liu.ea:09:effect,
author = {Dai, Wei and Liu, Youjian and Rider, Brian},
title = {The effect of finite rate feedback on {CDMA} signature
optimization and {MIMO} beamforming vector selection},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {55},
year = {2009},
number = {8},
pages = {3651--3669},
issn = {0018-9448},
mrclass = {94A05 (15B52)},
mrnumber = {2598066},
doi = {10.1109/TIT.2009.2023717},
url = {https://doi.org/10.1109/TIT.2009.2023717}
}
@Article{ dai.liu.ea:09:on,
author = {Dai, Wei and Liu, Youjian and Rider, Brian and Lau,
Vincent K. N.},
title = {On the information rate of {MIMO} systems with finite rate
channel state feedback using beamforming and power on/off
strategy},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {55},
year = {2009},
number = {11},
pages = {5032--5047},
issn = {0018-9448},
mrclass = {94A05},
mrnumber = {2596958},
doi = {10.1109/TIT.2009.2030470},
url = {https://doi.org/10.1109/TIT.2009.2030470}
}
@Article{ dalang.bernyk:04:mathematical,
author = {Dalang, Robert C. and Bernyk, Violetta},
title = {A mathematical model for `{W}ho wants to be a
millionaire?'},
journal = {Math. Sci.},
fjournal = {The Mathematical Scientist},
volume = {29},
year = {2004},
number = {2},
pages = {85--100},
issn = {0312-3685},
mrclass = {60G40 (90B15 91A35)},
mrnumber = {2102255},
mrreviewer = {Krzysztof Szajowski}
}
@Book{ dalang.chaabouni:01:algebre,
author = {Dalang, Robert C. and Chaabouni, Amel},
title = {Alg\`ebre lin\'{e}aire},
series = {Enseignement des Math\'{e}matiques. [The Teaching of
Mathematics]},
note = {Aide-m\'{e}moire, exercices et applications. [General
review, exercises and applications]},
publisher = {Presses Polytechniques et Universitaires Romandes,
Lausanne},
year = {2001},
pages = {xii+322},
isbn = {2-88074-483-0},
mrclass = {15-01},
mrnumber = {1888139}
}
@Proceedings{ dalang.dozzi.ea:02:seminar,
title = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications {III}},
series = {Progress in Probability},
volume = {52},
booktitle = {Proceedings of the seminar held in {A}scona, {S}eptember
20--24, 1999},
author = {Dalang, Robert C. and Dozzi, Marco and Russo, Francesco},
note = {Dedicated to Sergio Albeverio on the occasion of his 60th
birthday},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {2002},
pages = {xiv+302},
isbn = {3-7643-6721-0},
mrclass = {60-06 (00B30)},
mrnumber = {1958803}
}
@Article{ dalang.frangos:98:stochastic,
author = {Dalang, Robert C. and Frangos, N. E.},
title = {The stochastic wave equation in two spatial dimensions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {26},
year = {1998},
number = {1},
pages = {187--212},
issn = {0091-1798},
mrclass = {60H15},
mrnumber = {1617046},
mrreviewer = {R\'{e}mi L\'{e}andre},
doi = {10.1214/aop/1022855416},
url = {https://doi.org/10.1214/aop/1022855416}
}
@Article{ dalang.hongler:04:right,
author = {Dalang, Robert C. and Hongler, M.-O.},
title = {The right time to sell a stock whose price is driven by
{M}arkovian noise},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {14},
year = {2004},
number = {4},
pages = {2176--2201},
issn = {1050-5164},
mrclass = {60G40 (60J27 91B28)},
mrnumber = {2100388},
mrreviewer = {Fabio P. Machado},
doi = {10.1214/105051604000000747},
url = {https://doi.org/10.1214/105051604000000747}
}
@Article{ dalang.hou:97:on,
author = {Dalang, Robert C. and Hou, Qiang},
title = {On {M}arkov properties of {L}\'{e}vy waves in two
dimensions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {72},
year = {1997},
number = {2},
pages = {265--287},
issn = {0304-4149},
mrclass = {60H15 (60J25)},
mrnumber = {1486556},
mrreviewer = {Marco Ferrante},
doi = {10.1016/S0304-4149(97)00087-2},
url = {https://doi.org/10.1016/S0304-4149(97)00087-2}
}
@Article{ dalang.humeau:17:levy,
author = {Dalang, Robert C. and Humeau, Thomas},
title = {L\'{e}vy processes and {L}\'{e}vy white noise as tempered
distributions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {6B},
pages = {4389--4418},
issn = {0091-1798},
mrclass = {60G51 (60G20 60G60 60H40)},
mrnumber = {3737914},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1214/16-AOP1168},
url = {https://doi.org/10.1214/16-AOP1168}
}
@Article{ dalang.humeau:19:random,
author = {Dalang, Robert C. and Humeau, Thomas},
title = {Random field solutions to linear {SPDE}s driven by
symmetric pure jump {L}\'{e}vy space-time white noises},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 60, 28},
mrclass = {60H15 (60G51 60G60)},
mrnumber = {3978210},
mrreviewer = {Jiang Lun Wu},
doi = {10.1214/19-EJP317},
url = {https://doi.org/10.1214/19-EJP317}
}
@Article{ dalang.khoshnevisan.ea:07:hitting,
author = {Dalang, Robert C. and Khoshnevisan, Davar and Nualart,
Eulalia},
title = {Hitting probabilities for systems of non-linear stochastic
heat equations with additive noise},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {3},
year = {2007},
pages = {231--271},
mrclass = {60H15 (60J45)},
mrnumber = {2365643},
mrreviewer = {Jan I. Seidler}
}
@Article{ dalang.khoshnevisan.ea:09:hitting,
author = {Dalang, Robert C. and Khoshnevisan, Davar and Nualart,
Eulalia},
title = {Hitting probabilities for systems for non-linear
stochastic heat equations with multiplicative noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {144},
year = {2009},
number = {3-4},
pages = {371--427},
issn = {0178-8051},
mrclass = {60H15 (60G60 60H07 60J45)},
mrnumber = {2496438},
mrreviewer = {David Nualart},
doi = {10.1007/s00440-008-0150-1},
url = {https://doi.org/10.1007/s00440-008-0150-1}
}
@Book{ dalang.khoshnevisan.ea:09:minicourse,
author = {Dalang, Robert and Khoshnevisan, Davar and Mueller, Carl
and Nualart, David and Xiao, Yimin},
title = {A minicourse on stochastic partial differential
equations},
series = {Lecture Notes in Mathematics},
volume = {1962},
note = {Held at the University of Utah, Salt Lake City, UT, May
8--19, 2006, Edited by Khoshnevisan and Firas
Rassoul-Agha},
publisher = {Springer-Verlag, Berlin},
year = {2009},
pages = {xii+216},
isbn = {978-3-540-85993-2},
mrclass = {60-06 (35R60 60H15)},
mrnumber = {1500166}
}
@Article{ dalang.khoshnevisan.ea:12:critical,
author = {Dalang, Robert C. and Khoshnevisan, Davar and Nualart,
Eulalia and Wu, Dongsheng and Xiao, Yimin},
title = {Critical {B}rownian sheet does not have double points},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {4},
pages = {1829--1859},
issn = {0091-1798},
mrclass = {60G60 (60G15 60J45)},
mrnumber = {2978539},
mrreviewer = {Serge Cohen},
doi = {10.1214/11-AOP665},
url = {https://doi.org/10.1214/11-AOP665}
}
@Article{ dalang.khoshnevisan.ea:13:hitting,
author = {Dalang, Robert C. and Khoshnevisan, Davar and Nualart,
Eulalia},
title = {Hitting probabilities for systems of non-linear stochastic
heat equations in spatial dimension {$k\geq 1$}},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {1},
year = {2013},
number = {1},
pages = {94--151},
issn = {2194-0401},
mrclass = {60H15 (35K45 35R60 60G60 60H07 60J45)},
mrnumber = {3327503},
mrreviewer = {Jie Xiong},
doi = {10.1007/s40072-013-0005-3},
url = {https://doi.org/10.1007/s40072-013-0005-3}
}
@Article{ dalang.khoshnevisan.ea:19:global,
author = {Dalang, Robert C. and Khoshnevisan, Davar and Zhang,
Tusheng},
title = {Global solutions to stochastic reaction-diffusion
equations with super-linear drift and multiplicative
noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {1},
pages = {519--559},
issn = {0091-1798},
mrclass = {60H15 (35B33 35B45 35K57 35R60)},
mrnumber = {3909975},
mrreviewer = {Petru A. Cioica-Licht},
doi = {10.1214/18-AOP1270},
url = {https://doi.org/10.1214/18-AOP1270}
}
@Article{ dalang.khoshnevisan:04:recurrent,
author = {Dalang, Robert C. and Khoshnevisan, Davar},
title = {Recurrent lines in two-parameter isotropic stable
{L}\'{e}vy sheets},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {114},
year = {2004},
number = {1},
pages = {81--107},
issn = {0304-4149},
mrclass = {60G60 (60G52)},
mrnumber = {2094148},
mrreviewer = {M. P. Moklyachuk},
doi = {10.1016/j.spa.2004.05.008},
url = {https://doi.org/10.1016/j.spa.2004.05.008}
}
@Article{ dalang.lee.ea:21:multiple,
author = {Dalang, Robert C. and Lee, Cheuk Yin and Mueller, Carl and
Xiao, Yimin},
title = {Multiple points of {G}aussian random fields},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {26},
year = {2021},
pages = {Paper No. 17, 25},
mrclass = {60G15 (60G17 60G22 60G60 60H15)},
mrnumber = {4235468},
mrreviewer = {Dongsheng Wu},
doi = {10.1214/21-EJP589},
url = {https://doi.org/10.1214/21-EJP589}
}
@Article{ dalang.leveque:04:second-order,
author = {Dalang, Robert C. and L\'{e}v\^{e}que, Olivier},
title = {Second-order linear hyperbolic {SPDE}s driven by isotropic
{G}aussian noise on a sphere},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {1B},
pages = {1068--1099},
issn = {0091-1798},
mrclass = {60H15 (60G15)},
mrnumber = {2044674},
mrreviewer = {Anna Karczewska},
doi = {10.1214/aop/1079021472},
url = {https://doi.org/10.1214/aop/1079021472}
}
@InCollection{ dalang.leveque:04:second-order*1,
author = {Dalang, Robert C. and L\'{e}v\^{e}que, Olivier},
title = {Second-order hyperbolic {S}.{P}.{D}.{E}.'s driven by
boundary noises},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications {IV}},
series = {Progr. Probab.},
volume = {58},
pages = {83--93},
publisher = {Birkh\"{a}user, Basel},
year = {2004},
mrclass = {60H15 (35L10 35R60)},
mrnumber = {2096282}
}
@Article{ dalang.leveque:06:second-order,
author = {Dalang, Robert C. and L\'{e}v\^{e}que, Olivier},
title = {Second-order hyperbolic {S}.{P}.{D}.{E}.'s driven by
homogeneous {G}aussian noise on a hyperplane},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {358},
year = {2006},
number = {5},
pages = {2123--2159},
issn = {0002-9947},
mrclass = {60H15 (35R60 60G15)},
mrnumber = {2197451},
mrreviewer = {Jean-Pierre Fouque},
doi = {10.1090/S0002-9947-05-03740-2},
url = {https://doi.org/10.1090/S0002-9947-05-03740-2}
}
@Article{ dalang.morton.ea:90:equivalent,
author = {Dalang, Robert C. and Morton, Andrew and Willinger,
Walter},
title = {Equivalent martingale measures and no-arbitrage in
stochastic securities market models},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {29},
year = {1990},
number = {2},
pages = {185--201},
issn = {1045-1129},
mrclass = {90A60 (60G99)},
mrnumber = {1041035},
mrreviewer = {Nicola Mattoscio},
doi = {10.1080/17442509008833613},
url = {https://doi.org/10.1080/17442509008833613}
}
@InCollection{ dalang.mountford:00:level,
author = {Dalang, Robert C. and Mountford, T. S.},
title = {Level sets, bubbles and excursions of a {B}rownian sheet},
booktitle = {Infinite dimensional stochastic analysis ({A}msterdam,
1999)},
series = {Verh. Afd. Natuurkd. 1. Reeks. K. Ned. Akad. Wet.},
volume = {52},
pages = {117--128},
publisher = {R. Neth. Acad. Arts Sci., Amsterdam},
year = {2000},
mrclass = {60G60 (60J65)},
mrnumber = {1831414},
mrreviewer = {Xing Wu Zhuang}
}
@Article{ dalang.mountford:01:jordan,
author = {Dalang, Robert C. and Mountford, T.},
title = {Jordan curves in the level sets of additive {B}rownian
motion},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {353},
year = {2001},
number = {9},
pages = {3531--3545},
issn = {0002-9947},
mrclass = {60G60 (60G15 60J65)},
mrnumber = {1837246},
mrreviewer = {Davar Khoshnevisan},
doi = {10.1090/S0002-9947-01-02811-2},
url = {https://doi.org/10.1090/S0002-9947-01-02811-2}
}
@Article{ dalang.mountford:02:eccentric,
author = {Dalang, Robert C. and Mountford, T.},
title = {Eccentric behaviors of the {B}rownian sheet along lines},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {30},
year = {2002},
number = {1},
pages = {293--322},
issn = {0091-1798},
mrclass = {60G60 (28A80 60G15)},
mrnumber = {1894109},
mrreviewer = {Rimas Norvai\v{s}a},
doi = {10.1214/aop/1020107769},
url = {https://doi.org/10.1214/aop/1020107769}
}
@Article{ dalang.mountford:03:non-independence,
author = {Dalang, Robert C. and Mountford, T.},
title = {Non-independence of excursions of the {B}rownian sheet and
of additive {B}rownian motion},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {355},
year = {2003},
number = {3},
pages = {967--985},
issn = {0002-9947},
mrclass = {60G60 (60G17)},
mrnumber = {1938741},
mrreviewer = {Anne Estrade},
doi = {10.1090/S0002-9947-02-03138-0},
url = {https://doi.org/10.1090/S0002-9947-02-03138-0}
}
@Article{ dalang.mountford:96:nondifferentiability,
author = {Dalang, Robert C. and Mountford, T.},
title = {Nondifferentiability of curves on the {B}rownian sheet},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {1},
pages = {182--195},
issn = {0091-1798},
mrclass = {60G60 (60G15)},
mrnumber = {1387631},
mrreviewer = {M. Cs\"{o}rg\H{o}},
doi = {10.1214/aop/1042644712},
url = {https://doi.org/10.1214/aop/1042644712}
}
@Article{ dalang.mountford:96:points,
author = {Dalang, Robert C. and Mountford, T.},
title = {Points of increase of functions in the plane},
journal = {Real Anal. Exchange},
fjournal = {Real Analysis Exchange},
volume = {22},
year = {1996/97},
number = {2},
pages = {833--841},
issn = {0147-1937},
mrclass = {26B35 (28C20 60G60)},
mrnumber = {1460995}
}
@Article{ dalang.mountford:97:points,
author = {Dalang, Robert C. and Mountford, T.},
title = {Points of increase of the {B}rownian sheet},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {108},
year = {1997},
number = {1},
pages = {1--27},
issn = {0178-8051},
mrclass = {60G60 (60G15 60J65)},
mrnumber = {1452548},
doi = {10.1007/s004400050099},
url = {https://doi.org/10.1007/s004400050099}
}
@Article{ dalang.mueller.ea:06:hitting,
author = {Dalang, Robert C. and Mueller, C. and Zambotti, L.},
title = {Hitting properties of parabolic s.p.d.e.'s with
reflection},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {4},
pages = {1423--1450},
issn = {0091-1798},
mrclass = {60H15 (60J45)},
mrnumber = {2257651},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/009117905000000792},
url = {https://doi.org/10.1214/009117905000000792}
}
@Article{ dalang.mueller.ea:08:feynman-kac-type,
author = {Dalang, Robert C. and Mueller, Carl and Tribe, Roger},
title = {A {F}eynman-{K}ac-type formula for the deterministic and
stochastic wave equations and other {P}.{D}.{E}.'s},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {360},
year = {2008},
number = {9},
pages = {4681--4703},
issn = {0002-9947},
mrclass = {60H15 (35A08 35K15)},
mrnumber = {2403701},
mrreviewer = {J. A. van Casteren},
doi = {10.1090/S0002-9947-08-04351-1},
url = {https://doi.org/10.1090/S0002-9947-08-04351-1}
}
@Article{ dalang.mueller.ea:17:polarity,
author = {Dalang, Robert C. and Mueller, Carl and Xiao, Yimin},
title = {Polarity of points for {G}aussian random fields},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {6B},
pages = {4700--4751},
issn = {0091-1798},
mrclass = {60G15 (60G60 60J45)},
mrnumber = {3737922},
mrreviewer = {Jos\'{e} Rafael Le\'{o}n},
doi = {10.1214/17-AOP1176},
url = {https://doi.org/10.1214/17-AOP1176}
}
@Article{ dalang.mueller.ea:21:polarity,
author = {Dalang, Robert C. and Mueller, Carl and Xiao, Yimin},
title = {Polarity of almost all points for systems of nonlinear
stochastic heat equations in the critical dimension},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {5},
pages = {2573--2598},
issn = {0091-1798},
mrclass = {60H15 (60G60 60J45)},
mrnumber = {4317713},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1214/21-aop1516},
url = {https://doi.org/10.1214/21-aop1516}
}
@Article{ dalang.mueller:03:some,
author = {Dalang, Robert C. and Mueller, Carl},
title = {Some non-linear {S}.{P}.{D}.{E}.'s that are second order
in time},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {8},
year = {2003},
pages = {no. 1, 21},
issn = {1083-6489},
mrclass = {60H15 (35R60)},
mrnumber = {1961163},
mrreviewer = {Anna Karczewska},
doi = {10.1214/EJP.v8-123},
url = {https://doi.org/10.1214/EJP.v8-123}
}
@Article{ dalang.mueller:09:intermittency,
author = {Dalang, Robert C. and Mueller, Carl},
title = {Intermittency properties in a hyperbolic {A}nderson
problem},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {45},
year = {2009},
number = {4},
pages = {1150--1164},
issn = {0246-0203},
mrclass = {60H15 (35L05 35R60)},
mrnumber = {2572169},
mrreviewer = {Athanasios Yannacopoulos},
doi = {10.1214/08-AIHP199},
url = {https://doi.org/10.1214/08-AIHP199}
}
@Article{ dalang.mueller:15:multiple,
author = {Dalang, Robert C. and Mueller, Carl},
title = {Multiple points of the {B}rownian sheet in critical
dimensions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {4},
pages = {1577--1593},
issn = {0091-1798},
mrclass = {60G17 (60G15 60G60)},
mrnumber = {3353809},
mrreviewer = {Dongsheng Wu},
doi = {10.1214/14-AOP912},
url = {https://doi.org/10.1214/14-AOP912}
}
@Article{ dalang.nualart:04:potential,
author = {Dalang, Robert C. and Nualart, Eulalia},
title = {Potential theory for hyperbolic {SPDE}s},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {3A},
pages = {2099--2148},
issn = {0091-1798},
mrclass = {60J45 (31C45 35R60 60G60 60H07 60H15)},
mrnumber = {2073187},
mrreviewer = {Peter E. Kloeden},
doi = {10.1214/009117904000000685},
url = {https://doi.org/10.1214/009117904000000685}
}
@Article{ dalang.pu:20:on,
author = {Dalang, Robert C. and Pu, Fei},
title = {On the density of the supremum of the solution to the
linear stochastic heat equation},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {8},
year = {2020},
number = {3},
pages = {461--508},
issn = {2194-0401},
mrclass = {60H15 (35R60 60G60 60H07 60J45)},
mrnumber = {4147695},
mrreviewer = {Xiaobin Sun},
doi = {10.1007/s40072-019-00151-9},
url = {https://doi.org/10.1007/s40072-019-00151-9}
}
@Article{ dalang.pu:20:optimal,
author = {Dalang, Robert C. and Pu, Fei},
title = {Optimal lower bounds on hitting probabilities for
stochastic heat equations in spatial dimension {$k\geq 1$}},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {25},
year = {2020},
pages = {Paper No. 40, 31},
mrclass = {60H15 (60G60 60H07 60J45)},
mrnumber = {4089790},
mrreviewer = {Xiaobin Sun},
doi = {10.1214/20-ejp438},
url = {https://doi.org/10.1214/20-ejp438}
}
@Article{ dalang.pu:21:optimal,
author = {Dalang, Robert C. and Pu, Fei},
title = {Optimal lower bounds on hitting probabilities for
non-linear systems of stochastic fractional heat
equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {131},
year = {2021},
pages = {359--393},
issn = {0304-4149},
mrclass = {60H15 (60G60 60H07 60J45)},
mrnumber = {4161864},
mrreviewer = {Markus Kunze},
doi = {10.1016/j.spa.2020.07.015},
url = {https://doi.org/10.1016/j.spa.2020.07.015}
}
@Article{ dalang.quer-sardanyons:11:stochastic,
author = {Dalang, Robert C. and Quer-Sardanyons, Llu\'{i}s},
title = {Stochastic integrals for spde's: a comparison},
journal = {Expo. Math.},
fjournal = {Expositiones Mathematicae},
volume = {29},
year = {2011},
number = {1},
pages = {67--109},
issn = {0723-0869},
mrclass = {60H15 (60H05)},
mrnumber = {2785545},
mrreviewer = {David Nualart},
doi = {10.1016/j.exmath.2010.09.005},
url = {https://doi.org/10.1016/j.exmath.2010.09.005}
}
@Article{ dalang.russo:88:prediction,
author = {Dalang, Robert C. and Russo, Francesco},
title = {A prediction problem for the {B}rownian sheet},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {26},
year = {1988},
number = {1},
pages = {16--47},
issn = {0047-259X},
mrclass = {60G60 (60J65)},
mrnumber = {955202},
mrreviewer = {M. Zakai},
doi = {10.1016/0047-259X(88)90071-1},
url = {https://doi.org/10.1016/0047-259X(88)90071-1}
}
@Article{ dalang.sanz-sole:05:regularity,
author = {Dalang, Robert C. and Sanz-Sol\'{e}, Marta},
title = {Regularity of the sample paths of a class of second-order
spde's},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {227},
year = {2005},
number = {2},
pages = {304--337},
issn = {0022-1236},
mrclass = {60H15 (35R60)},
mrnumber = {2168077},
mrreviewer = {Roger Tribe},
doi = {10.1016/j.jfa.2004.11.015},
url = {https://doi.org/10.1016/j.jfa.2004.11.015}
}
@Article{ dalang.sanz-sole:09:holder-sobolev,
author = {Dalang, Robert C. and Sanz-Sol\'{e}, Marta},
title = {H\"{o}lder-{S}obolev regularity of the solution to the
stochastic wave equation in dimension three},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {199},
year = {2009},
number = {931},
pages = {vi+70},
issn = {0065-9266},
isbn = {978-0-8218-4288-1},
mrclass = {60H15 (35R60 60J45)},
mrnumber = {2512755},
mrreviewer = {Victoria Knopova},
doi = {10.1090/memo/0931},
url = {https://doi.org/10.1090/memo/0931}
}
@Article{ dalang.sanz-sole:10:criteria,
author = {Dalang, Robert C. and Sanz-Sol\'{e}, Marta},
title = {Criteria for hitting probabilities with applications to
systems of stochastic wave equations},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {16},
year = {2010},
number = {4},
pages = {1343--1368},
issn = {1350-7265},
mrclass = {60H15 (28A78 35L15 35R60)},
mrnumber = {2759182},
mrreviewer = {Dongsheng Wu},
doi = {10.3150/09-BEJ247},
url = {https://doi.org/10.3150/09-BEJ247}
}
@Article{ dalang.sanz-sole:15:hitting,
author = {Dalang, Robert C. and Sanz-Sol\'{e}, Marta},
title = {Hitting probabilities for nonlinear systems of stochastic
waves},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {237},
year = {2015},
number = {1120},
pages = {v+75},
issn = {0065-9266},
isbn = {978-1-4704-1423-8; 978-1-4704-2507-4},
mrclass = {60H15 (60G15 60G60 60H07 60J45)},
mrnumber = {3401290},
mrreviewer = {Wilhelm Stannat},
doi = {10.1090/memo/1120},
url = {https://doi.org/10.1090/memo/1120}
}
@Article{ dalang.sanz-sole:24:stochastic,
title = {Stochastic Partial Differential Equations, Space-time
White Noise and Random Fields},
author = {Robert C. Dalang and Marta Sanz-Sol\'e},
year = {2024},
month = {February},
journal = {Preprint arXiv:2402.02119},
url = {http://arXiv.org/abs/2402.02119}
}
@Article{ dalang.shiryaev:15:quickest,
author = {Dalang, Robert C. and Shiryaev, Albert N.},
title = {A quickest detection problem with an observation cost},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {25},
year = {2015},
number = {3},
pages = {1475--1512},
issn = {1050-5164},
mrclass = {60G35 (60G40 93E20 94A13)},
mrnumber = {3325279},
mrreviewer = {Hongzhong Zhang},
doi = {10.1214/14-AAP1028},
url = {https://doi.org/10.1214/14-AAP1028}
}
@Article{ dalang.trotter.ea:88:on,
author = {Dalang, Robert C. and Trotter, Jr., L. E. and de Werra,
D.},
title = {On randomized stopping points and perfect graphs},
journal = {J. Combin. Theory Ser. B},
fjournal = {Journal of Combinatorial Theory. Series B},
volume = {45},
year = {1988},
number = {3},
pages = {320--344},
issn = {0095-8956},
mrclass = {05C99 (90C39 90C40)},
mrnumber = {969252},
mrreviewer = {G. R. Grimmett},
doi = {10.1016/0095-8956(88)90076-7},
url = {https://doi.org/10.1016/0095-8956(88)90076-7}
}
@Article{ dalang.vinckenbosch:14:optimal,
author = {Dalang, Robert C. and Vinckenbosch, Laura},
title = {Optimal expulsion and optimal confinement of a {B}rownian
particle with a switching cost},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {12},
pages = {4050--4079},
issn = {0304-4149},
mrclass = {93E20 (60G40 60J65)},
mrnumber = {3264439},
mrreviewer = {Giorgio Ferrari},
doi = {10.1016/j.spa.2014.07.016},
url = {https://doi.org/10.1016/j.spa.2014.07.016}
}
@Article{ dalang.walsh:02:time-reversal,
author = {Dalang, Robert C. and Walsh, John B.},
title = {Time-reversal in hyperbolic s.p.d.e.'s},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {30},
year = {2002},
number = {1},
pages = {213--252},
issn = {0091-1798},
mrclass = {60H15 (60G15)},
mrnumber = {1894106},
mrreviewer = {Catherine Donati-Martin},
doi = {10.1214/aop/1020107766},
url = {https://doi.org/10.1214/aop/1020107766}
}
@Article{ dalang.walsh:92:sharp,
author = {Dalang, Robert C. and Walsh, John B.},
title = {The sharp {M}arkov property of {L}\'{e}vy sheets},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {20},
year = {1992},
number = {2},
pages = {591--626},
issn = {0091-1798},
mrclass = {60G60 (60J30 60J75)},
mrnumber = {1159561},
mrreviewer = {Ditlev Monrad},
url = {http://links.jstor.org/sici?sici=0091-1798(199204)20:2<591:TSMPOL>2.0.CO;2-N&origin=MSN}
}
@Article{ dalang.walsh:92:sharp*1,
author = {Dalang, Robert C. and Walsh, John B.},
title = {The sharp {M}arkov property of the {B}rownian sheet and
related processes},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {168},
year = {1992},
number = {3-4},
pages = {153--218},
issn = {0001-5962},
mrclass = {60G60 (60G20 60J25 60J30)},
mrnumber = {1161265},
mrreviewer = {Peter Imkeller},
doi = {10.1007/BF02392978},
url = {https://doi.org/10.1007/BF02392978}
}
@Article{ dalang.walsh:93:geography,
author = {Dalang, Robert C. and Walsh, John B.},
title = {Geography of the level sets of the {B}rownian sheet},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {96},
year = {1993},
number = {2},
pages = {153--176},
issn = {0178-8051},
mrclass = {60G17 (60G15 60G60)},
mrnumber = {1227030},
mrreviewer = {Robert J. Adler},
doi = {10.1007/BF01192131},
url = {https://doi.org/10.1007/BF01192131}
}
@Article{ dalang.walsh:93:structure,
author = {Dalang, Robert C. and Walsh, John B.},
title = {The structure of a {B}rownian bubble},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {96},
year = {1993},
number = {4},
pages = {475--501},
issn = {0178-8051},
mrclass = {60G60 (60G15)},
mrnumber = {1234620},
mrreviewer = {Steven N. Evans},
doi = {10.1007/BF01200206},
url = {https://doi.org/10.1007/BF01200206}
}
@InCollection{ dalang.walsh:96:local,
author = {Dalang, Robert C. and Walsh, John B.},
title = {Local structure of level sets of the {B}rownian sheet},
booktitle = {Stochastic analysis: random fields and measure-valued
processes ({R}amat {G}an, 1993/1995)},
series = {Israel Math. Conf. Proc.},
volume = {10},
pages = {57--64},
publisher = {Bar-Ilan Univ., Ramat Gan},
year = {1996},
mrclass = {60G60 (60J65)},
mrnumber = {1415187}
}
@Article{ dalang.zhang:13:holder,
author = {Dalang, Robert C. and Zhang, Tusheng},
title = {H\"{o}lder continuity of solutions of {SPDE}s with
reflection},
journal = {Commun. Math. Stat.},
fjournal = {Communications in Mathematics and Statistics},
volume = {1},
year = {2013},
number = {2},
pages = {133--142},
issn = {2194-6701},
mrclass = {60H15 (60F05 60F10)},
mrnumber = {3197857},
mrreviewer = {Dirk Bl\"{o}mker},
doi = {10.1007/s40304-013-0009-3},
url = {https://doi.org/10.1007/s40304-013-0009-3}
}
@Article{ dalang:01:corrections,
author = {Dalang, Robert C.},
title = {Corrections to: ``{E}xtending the martingale measure
stochastic integral with applications to spatially
homogeneous s.p.d.e.'s''},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {6},
year = {2001},
pages = {no. 6, 5},
issn = {1083-6489},
mrclass = {60H15 (35R60)},
mrnumber = {1825714}
}
@InCollection{ dalang:03:level,
author = {Dalang, Robert C.},
title = {Level sets and excursions of the {B}rownian sheet},
booktitle = {Topics in spatial stochastic processes ({M}artina
{F}ranca, 2001)},
series = {Lecture Notes in Math.},
volume = {1802},
pages = {167--208},
publisher = {Springer, Berlin},
year = {2003},
mrclass = {60G15},
mrnumber = {1975520},
mrreviewer = {Laurent Decreusefond},
doi = {10.1007/978-3-540-36259-3\_5},
url = {https://doi.org/10.1007/978-3-540-36259-3_5}
}
@Article{ dalang:06:demonstration,
author = {Dalang, Robert C.},
title = {Une d\'{e}monstration \'{e}l\'{e}mentaire du
th\'{e}or\`eme central limite},
journal = {Elem. Math.},
fjournal = {Elemente der Mathematik},
volume = {61},
year = {2006},
number = {2},
pages = {65--73},
issn = {0013-6018},
mrclass = {60F05},
mrnumber = {2225670},
mrreviewer = {Carme Florit},
doi = {10.4171/EM/34},
url = {https://doi.org/10.4171/EM/34}
}
@InCollection{ dalang:09:stochastic,
author = {Dalang, Robert C.},
title = {The stochastic wave equation},
booktitle = {A minicourse on stochastic partial differential
equations},
series = {Lecture Notes in Math.},
volume = {1962},
pages = {39--71},
publisher = {Springer, Berlin},
year = {2009},
mrclass = {60H15},
mrnumber = {2508773},
mrreviewer = {Nicholas Frangos},
doi = {10.1007/978-3-540-85994-9\_2},
url = {https://doi.org/10.1007/978-3-540-85994-9_2}
}
@Article{ dalang:17:srishti,
author = {Dalang, Robert C.},
title = {Srishti {D}har {C}hatterji (1935--2017)},
journal = {Expo. Math.},
fjournal = {Expositiones Mathematicae},
volume = {35},
year = {2017},
number = {4},
pages = {363},
issn = {0723-0869},
mrclass = {01A70},
mrnumber = {3725813},
doi = {10.1016/j.exmath.2017.11.001},
url = {https://doi.org/10.1016/j.exmath.2017.11.001}
}
@InCollection{ dalang:18:hitting,
author = {Dalang, Robert C.},
title = {Hitting probabilities for systems of stochastic {PDE}s: an
overview},
booktitle = {Stochastic partial differential equations and related
fields},
series = {Springer Proc. Math. Stat.},
volume = {229},
pages = {159--176},
publisher = {Springer, Cham},
year = {2018},
mrclass = {60H15 (60G15 60G60 60H07 60J45)},
mrnumber = {3828166},
mrreviewer = {Jingyu Huang},
doi = {10.1007/978-3-319-74929-7\_8},
url = {https://doi.org/10.1007/978-3-319-74929-7_8}
}
@Article{ dalang:19:obituary,
author = {Dalang, Robert C.},
title = {Obituary: {R}ichard {V}. {K}adison (1925--2018)},
journal = {Expo. Math.},
fjournal = {Expositiones Mathematicae},
volume = {37},
year = {2019},
number = {1},
pages = {1},
issn = {0723-0869},
mrclass = {01A70},
mrnumber = {3964213},
doi = {10.1016/j.exmath.2019.05.002},
url = {https://doi.org/10.1016/j.exmath.2019.05.002}
}
@InCollection{ dalang:84:sur,
author = {Dalang, Robert C.},
title = {Sur l'arr\^{e}t optimal de processus \`a temps
multidimensionnel continu},
booktitle = {Seminar on probability, {XVIII}},
series = {Lecture Notes in Math.},
volume = {1059},
pages = {379--390},
publisher = {Springer, Berlin},
year = {1984},
mrclass = {60G40},
mrnumber = {770972},
mrreviewer = {Robert Kertz},
doi = {10.1007/BFb0100055},
url = {https://doi.org/10.1007/BFb0100055}
}
@InCollection{ dalang:85:correction,
author = {Dalang, Robert C.},
title = {Correction to: ``{O}n optimal stopping of processes with
continuous multidimensional time'' [{it {S}\'{e}minaire de
probabilit\'{e}s, {XVIII}}, 379--390, {L}ecture {N}otes in
{M}ath., 1059, {S}pringer, {B}erlin, 1984; {MR}0770972
(86j:60108)]},
booktitle = {S\'{e}minaire de probabilit\'{e}s, {XIX}, 1983/84},
series = {Lecture Notes in Math.},
volume = {1123},
pages = {504},
publisher = {Springer, Berlin},
year = {1985},
mrclass = {60G40},
mrnumber = {889498},
doi = {10.1007/BFb0075869},
url = {https://doi.org/10.1007/BFb0075869}
}
@Article{ dalang:88:on,
author = {Dalang, Robert C.},
title = {On infinite perfect graphs and randomized stopping points
on the plane},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {78},
year = {1988},
number = {3},
pages = {357--378},
issn = {0178-8051},
mrclass = {60G40 (05C99)},
mrnumber = {949178},
mrreviewer = {U. Krengel},
doi = {10.1007/BF00334200},
url = {https://doi.org/10.1007/BF00334200}
}
@Article{ dalang:88:on*1,
author = {Dalang, Robert C.},
title = {On stopping points in the plane that lie on a unique
optional increasing path},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {24},
year = {1988},
number = {3},
pages = {245--268},
issn = {0090-9491},
mrclass = {60G07 (90C40)},
mrnumber = {972476},
mrreviewer = {Nicholas Frangos},
doi = {10.1080/17442508808833517},
url = {https://doi.org/10.1080/17442508808833517}
}
@Article{ dalang:89:optimal,
author = {Dalang, Robert C.},
title = {Optimal stopping of two-parameter processes on nonstandard
probability spaces},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {313},
year = {1989},
number = {2},
pages = {697--719},
issn = {0002-9947},
mrclass = {60G40 (03H05 60G07 60G57)},
mrnumber = {948189},
mrreviewer = {Tom L. Lindstr\"{o}m},
doi = {10.2307/2001425},
url = {https://doi.org/10.2307/2001425}
}
@Article{ dalang:90:randomization,
author = {Dalang, Robert C.},
title = {Randomization in the two-armed bandit problem},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {18},
year = {1990},
number = {1},
pages = {218--225},
issn = {0091-1798},
mrclass = {60G40 (62L05 62L15 93D15)},
mrnumber = {1043945},
mrreviewer = {Bert Fristedt},
url = {http://links.jstor.org/sici?sici=0091-1798(199001)18:1<218:RITTBP>2.0.CO;2-V&origin=MSN}
}
@Article{ dalang:99:extending,
author = {Dalang, Robert C.},
title = {Extending the martingale measure stochastic integral with
applications to spatially homogeneous s.p.d.e.'s},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {4},
year = {1999},
pages = {no. 6, 29},
issn = {1083-6489},
mrclass = {60H05 (35R60 60G15 60G48 60H15)},
mrnumber = {1684157},
mrreviewer = {Marta Sanz Sol'{e}},
doi = {10.1214/EJP.v4-43},
url = {https://doi.org/10.1214/EJP.v4-43}
}
@Book{ daley.vere-jones:03:introduction,
author = {Daley, D. J. and Vere-Jones, D.},
title = {An introduction to the theory of point processes. {V}ol.
{I}},
series = {Probability and its Applications (New York)},
edition = {Second},
note = {Elementary theory and methods},
publisher = {Springer-Verlag, New York},
year = {2003},
pages = {xxii+469},
isbn = {0-387-95541-0},
mrclass = {60-01 (60G10 60G55 60K05 60K35)},
mrnumber = {1950431},
mrreviewer = {Volker Schmidt}
}
@Book{ daley.vere-jones:08:introduction,
author = {Daley, D. J. and Vere-Jones, D.},
title = {An introduction to the theory of point processes. {V}ol.
{II}},
series = {Probability and its Applications (New York)},
edition = {Second},
note = {General theory and structure},
publisher = {Springer, New York},
year = {2008},
pages = {xviii+573},
isbn = {978-0-387-21337-8},
mrclass = {60G55 (60-02 60G57)},
mrnumber = {2371524},
mrreviewer = {Gail Ivanoff},
doi = {10.1007/978-0-387-49835-5},
url = {https://doi.org/10.1007/978-0-387-49835-5}
}
@Book{ daley.vere-jones:88:introduction,
author = {Daley, D. J. and Vere-Jones, D.},
title = {An introduction to the theory of point processes},
series = {Springer Series in Statistics},
publisher = {Springer-Verlag, New York},
year = {1988},
pages = {xxii+702},
isbn = {0-387-96666-8},
mrclass = {60G55},
mrnumber = {950166},
mrreviewer = {Alan F. Karr}
}
@Article{ dalmao.nourdin.ea:19:phase,
author = {Dalmao, Federico and Nourdin, Ivan and Peccati, Giovanni
and Rossi, Maurizia},
title = {Phase singularities in complex arithmetic random waves},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 71, 45},
mrclass = {60G60 (35J05 35P20 58J50 60B10 60D05)},
mrnumber = {3978221},
doi = {10.1214/19-EJP321},
url = {https://doi.org/10.1214/19-EJP321}
}
@Article{ damanik.goldstein:16:on,
author = {Damanik, David and Goldstein, Michael},
title = {On the existence and uniqueness of global solutions for
the {K}d{V} equation with quasi-periodic initial data},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {29},
year = {2016},
number = {3},
pages = {825--856},
issn = {0894-0347},
mrclass = {35Q53 (35A01 35A02 35B15)},
mrnumber = {3486173},
mrreviewer = {Alain Haraux},
doi = {10.1090/jams/837},
url = {https://doi.org/10.1090/jams/837}
}
@Article{ damanik.pushnitski.ea:08:analytic,
author = {Damanik, David and Pushnitski, Alexander and Simon,
Barry},
title = {The analytic theory of matrix orthogonal polynomials},
journal = {Surv. Approx. Theory},
fjournal = {Surveys in Approximation Theory},
volume = {4},
year = {2008},
pages = {1--85},
issn = {1555-578X},
mrclass = {42C05 (30C10 47B36)},
mrnumber = {2379691}
}
@Article{ damanik.sims.ea:02:localization,
author = {Damanik, David and Sims, Robert and Stolz, G\"{u}nter},
title = {Localization for one-dimensional, continuum,
{B}ernoulli-{A}nderson models},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {114},
year = {2002},
number = {1},
pages = {59--100},
issn = {0012-7094},
mrclass = {82B44 (34L40 47B80)},
mrnumber = {1915036},
mrreviewer = {Fran\c{c}ois Germinet},
doi = {10.1215/S0012-7094-02-11414-8},
url = {https://doi.org/10.1215/S0012-7094-02-11414-8}
}
@Article{ damron.hanson.ea:15:sublinear,
author = {Damron, Michael and Hanson, Jack and Sosoe, Philippe},
title = {Sublinear variance in first-passage percolation for
general distributions},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {163},
year = {2015},
number = {1-2},
pages = {223--258},
issn = {0178-8051},
mrclass = {60K35 (60D05 60E15 82C43)},
mrnumber = {3405617},
mrreviewer = {Laurent Miclo},
doi = {10.1007/s00440-014-0591-7},
url = {https://doi.org/10.1007/s00440-014-0591-7}
}
@Article{ damron.hanson.ea:18:size,
author = {Damron, Michael and Hanson, Jack and Lam, Wai-Kit},
title = {The size of the boundary in first-passage percolation},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {28},
year = {2018},
number = {5},
pages = {3184--3214},
issn = {1050-5164},
mrclass = {60K35 (82B43)},
mrnumber = {3847985},
mrreviewer = {Michele Gianfelice},
doi = {10.1214/18-AAP1388},
url = {https://doi.org/10.1214/18-AAP1388}
}
@Article{ damron.hanson:14:busemann,
author = {Damron, Michael and Hanson, Jack},
title = {Busemann functions and infinite geodesics in
two-dimensional first-passage percolation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {325},
year = {2014},
number = {3},
pages = {917--963},
issn = {0010-3616},
mrclass = {94A17 (05C90 81P16 81P45)},
mrnumber = {3152744},
mrreviewer = {Kaspar Stucki},
doi = {10.1007/s00220-013-1875-y},
url = {https://doi.org/10.1007/s00220-013-1875-y}
}
@Article{ damron.hochman:13:examples,
author = {Damron, Michael and Hochman, Michael},
title = {Examples of nonpolygonal limit shapes in i.i.d.
first-passage percolation and infinite coexistence in
spatial growth models},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {23},
year = {2013},
number = {3},
pages = {1074--1085},
issn = {1050-5164},
mrclass = {60K35 (82B43)},
mrnumber = {3076678},
mrreviewer = {Antal A. J\'{a}rai},
doi = {10.1214/12-AAP864},
url = {https://doi.org/10.1214/12-AAP864}
}
@Article{ damron.kubota:16:rate,
author = {Damron, Michael and Kubota, Naoki},
title = {Rate of convergence in first-passage percolation under low
moments},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {126},
year = {2016},
number = {10},
pages = {3065--3076},
issn = {0304-4149},
mrclass = {60K35 (82B43)},
mrnumber = {3542626},
mrreviewer = {Christian Hirsch},
doi = {10.1016/j.spa.2016.04.001},
url = {https://doi.org/10.1016/j.spa.2016.04.001}
}
@Article{ damron.lam:25:asymptotics,
title = {Asymptotics for first-passage percolation on logarithmic
subgraphs of $\mathbb{Z}^2$},
author = {Michael Damron and Wai-Kit Lam},
year = {2025},
month = {February},
journal = {Preprint arXiv:2502.18235},
url = {http://arXiv.org/abs/2502.18235}
}
@Article{ damron.rassoul-agha.ea:16:random,
author = {Damron, Michael and Rassoul-Agha, Firas and
Sepp\"{a}l\"{a}inen, Timo},
title = {Random growth models},
journal = {Notices Amer. Math. Soc.},
fjournal = {Notices of the American Mathematical Society},
volume = {63},
year = {2016},
number = {9},
pages = {1004--1008},
issn = {0002-9920},
mrclass = {60K35},
mrnumber = {3525713},
doi = {10.1090/noti1400},
url = {https://doi.org/10.1090/noti1400}
}
@Article{ daners:00:heat,
author = {Daners, Daniel},
title = {Heat kernel estimates for operators with boundary
conditions},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {217},
year = {2000},
pages = {13--41},
issn = {0025-584X},
mrclass = {35K05 (35B45 35K20)},
mrnumber = {1780769},
mrreviewer = {Alberto G. Setti},
doi = {10.1002/1522-2616(200009)217:1<13::AID-MANA13>3.3.CO;2-Y},
url = {https://doi.org/10.1002/1522-2616(200009)217:1<13::AID-MANA13>3.3.CO;2-Y}
}
@Article{ dang.nane.ea:18:continuity,
author = {Dang, Duc Trong and Nane, Erkan and Nguyen, Dang Minh and
Tuan, Nguyen Huy},
title = {Continuity of solutions of a class of fractional
equations},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {49},
year = {2018},
number = {3},
pages = {423--478},
issn = {0926-2601},
mrclass = {35R11 (35K92 45K05)},
mrnumber = {3850383},
mrreviewer = {Soundararajan Gnanavel},
doi = {10.1007/s11118-017-9663-5},
url = {https://doi.org/10.1007/s11118-017-9663-5}
}
@Article{ dappiaggi.drago.ea:22:microlocal,
author = {Dappiaggi, Claudio and Drago, Nicol\`o and Rinaldi, Paolo
and Zambotti, Lorenzo},
title = {A microlocal approach to renormalization in stochastic
{PDE}s},
journal = {Commun. Contemp. Math.},
fjournal = {Communications in Contemporary Mathematics},
volume = {24},
year = {2022},
number = {7},
pages = {Paper No. 2150075, 74},
issn = {0219-1997,1793-6683},
mrclass = {81T05 (60H17)},
mrnumber = {4476312},
mrreviewer = {Michael\ D\"{u}tsch},
doi = {10.1142/S0219199721500759},
url = {https://doi.org/10.1142/S0219199721500759}
}
@Article{ dareiotis.gerencser:15:on,
author = {Dareiotis, Konstantinos and Gerencs\'{e}r, M\'{a}t\'{e}},
title = {On the boundedness of solutions of {SPDE}s},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {3},
year = {2015},
number = {1},
pages = {84--102},
issn = {2194-0401},
mrclass = {60H15 (35R60 60G46)},
mrnumber = {3312593},
mrreviewer = {Dario Trevisan},
doi = {10.1007/s40072-014-0043-5},
url = {https://doi.org/10.1007/s40072-014-0043-5}
}
@InCollection{ darling:92:isotropic,
author = {Darling, R. W. R.},
title = {Isotropic stochastic flows: a survey},
booktitle = {Diffusion processes and related problems in analysis,
{V}ol. {II} ({C}harlotte, {NC}, 1990)},
series = {Progr. Probab.},
volume = {27},
pages = {75--94},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1992},
mrclass = {60H10 (60G60)},
mrnumber = {1187986}
}
@Article{ darses.nourdin.ea:09:differentiating,
author = {Darses, S\'{e}bastien and Nourdin, Ivan and Peccati,
Giovanni},
title = {Differentiating {$\sigma$}-fields for {G}aussian and
shifted {G}aussian processes},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {81},
year = {2009},
number = {1},
pages = {79--97},
issn = {1744-2508},
mrclass = {60G07 (60G15 60G17 60G22 60H07)},
mrnumber = {2490000},
mrreviewer = {Emmanuelle Clement},
doi = {10.1080/17442500802270768},
url = {https://doi.org/10.1080/17442500802270768}
}
@Article{ darses.nourdin.ea:10:limit,
author = {Darses, S\'{e}bastien and Nourdin, Ivan and Nualart,
David},
title = {Limit theorems for nonlinear functionals of {V}olterra
processes via white noise analysis},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {16},
year = {2010},
number = {4},
pages = {1262--1293},
issn = {1350-7265},
mrclass = {60H40 (60F17 60G22)},
mrnumber = {2759179},
mrreviewer = {Christian F. Roth},
doi = {10.3150/10-BEJ258},
url = {https://doi.org/10.3150/10-BEJ258}
}
@Article{ darses.nourdin:07:dynamical,
author = {Darses, S\'{e}bastien and Nourdin, Ivan},
title = {Dynamical properties and characterization of gradient
drift diffusion},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {12},
year = {2007},
pages = {390--400},
issn = {1083-589X},
mrclass = {60J60},
mrnumber = {2350576},
mrreviewer = {Andreas Neuenkirch},
doi = {10.1214/ECP.v12-1324},
url = {https://doi.org/10.1214/ECP.v12-1324}
}
@Article{ darses.nourdin:07:stochastic,
author = {Darses, S\'{e}bastien and Nourdin, Ivan},
title = {Stochastic derivatives for fractional diffusions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {5},
pages = {1998--2020},
issn = {0091-1798},
mrclass = {60G07 (60G15 60G17 60H07)},
mrnumber = {2349582},
mrreviewer = {Andreas Neuenkirch},
doi = {10.1214/009117906000001169},
url = {https://doi.org/10.1214/009117906000001169}
}
@Article{ darses.nourdin:08:asymptotic,
author = {Darses, S\'{e}bastien and Nourdin, Ivan},
title = {Asymptotic expansions at any time for scalar fractional
{SDE}s with {H}urst index {$H>1/2$}},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {14},
year = {2008},
number = {3},
pages = {822--837},
issn = {1350-7265},
mrclass = {60H10 (60G22 60H07)},
mrnumber = {2537813},
mrreviewer = {Emmanuelle Clement},
doi = {10.3150/08-BEJ124},
url = {https://doi.org/10.3150/08-BEJ124}
}
@Article{ das.dhar.ea:90:new,
author = {Das, Sumit R. and Dhar, Avinash and Sengupta, Anirvan M.
and Wadia, Spenta R.},
title = {New critical behavior in {$d=0$} large-{$N$} matrix
models},
journal = {Modern Phys. Lett. A},
fjournal = {Modern Physics Letters A. Particles and Fields,
Gravitation, Cosmology, Nuclear Physics},
volume = {5},
year = {1990},
number = {13},
pages = {1041--1056},
issn = {0217-7323},
mrclass = {81T25 (81T27 81T30 81V17)},
mrnumber = {1057913},
mrreviewer = {Markku Lehto},
doi = {10.1142/S0217732390001165},
url = {https://doi.org/10.1142/S0217732390001165}
}
@Article{ das.ghosal:23:law,
author = {Das, Sayan and Ghosal, Promit},
title = {Law of iterated logarithms and fractal properties of the
{KPZ} equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {51},
year = {2023},
number = {3},
pages = {930--986},
issn = {0091-1798},
mrclass = {60H15 (35R60 82B44)},
mrnumber = {4583059},
mrreviewer = {Peter Bernard Weichman},
doi = {10.1214/22-aop1603},
url = {https://doi.org/10.1214/22-aop1603}
}
@Article{ das.tsai:21:fractional,
author = {Das, Sayan and Tsai, Li-Cheng},
title = {Fractional moments of the stochastic heat equation},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {57},
year = {2021},
number = {2},
pages = {778--799},
issn = {0246-0203},
mrclass = {60F10 (60H15)},
mrnumber = {4260483},
doi = {10.1214/20-aihp1095},
url = {https://doi.org/10.1214/20-aihp1095}
}
@Article{ das.yang.ea:12:synthetic,
title = {Synthetic priors that merge opinion from multiple
experts},
author = {Das, Sourish and Yang, Hongxia and Banks, David},
journal = {Statistics, Politics, and Policy},
volume = {4},
number = {1},
year = {2012},
publisher = {De Gruyter}
}
@Book{ dauge:88:elliptic,
author = {Dauge, Monique},
title = {Elliptic boundary value problems on corner domains},
series = {Lecture Notes in Mathematics},
volume = {1341},
note = {Smoothness and asymptotics of solutions},
publisher = {Springer-Verlag, Berlin},
year = {1988},
pages = {viii+259},
isbn = {3-540-50169-X},
mrclass = {35J67 (35J40 47F05 58G20)},
mrnumber = {961439},
mrreviewer = {H. Triebel},
doi = {10.1007/BFb0086682},
url = {https://doi.org/10.1007/BFb0086682}
}
@Article{ dauvergne.ortmann.ea:22:directed,
author = {Dauvergne, Duncan and Ortmann, Janosch and Vir\'{a}g,
B\'{a}lint},
title = {The directed landscape},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {229},
year = {2022},
number = {2},
pages = {201--285},
issn = {0001-5962,1871-2509},
mrclass = {60K35 (60B20 82B43)},
mrnumber = {4554223},
doi = {10.4310/acta.2022.v229.n2.a1},
url = {https://doi.org/10.4310/acta.2022.v229.n2.a1}
}
@Book{ dauvergne:19:random,
author = {Dauvergne, Duncan},
title = {Random {S}orting {N}etworks, the {D}irected {L}andscape,
and {R}andom {P}olynomials},
note = {Thesis (Ph.D.)--University of Toronto (Canada)},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2019},
pages = {269},
isbn = {978-1085-60302-7},
mrclass = {Thesis},
mrnumber = {4035169},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:13813605}
}
@Article{ david.duplantier.ea:93:renormalization,
author = {David, Fran\c{c}ois and Duplantier, Bertrand and Guitter,
Emmanuel},
title = {Renormalization theory for interacting crumpled
manifolds},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {394},
year = {1993},
number = {3},
pages = {555--664},
issn = {0550-3213},
mrclass = {82B28 (81T17 81T30 82D60)},
mrnumber = {1215176},
doi = {10.1016/0550-3213(93)90226-F},
url = {https://doi.org/10.1016/0550-3213(93)90226-F}
}
@Article{ david.duplantier.ea:93:renormalization*1,
author = {David, Fran\c{c}ois and Duplantier, Bertrand and Guitter,
Emmanuel},
title = {Renormalization of crumpled manifolds},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {70},
year = {1993},
number = {15},
pages = {2205--2208},
issn = {0031-9007},
mrclass = {82B41 (81T17 81T30 82B28)},
mrnumber = {1214561},
doi = {10.1103/PhysRevLett.70.2205},
url = {https://doi.org/10.1103/PhysRevLett.70.2205}
}
@Article{ david.duplantier.ea:94:renormalization,
author = {David, Fran\c{c}ois and Duplantier, Bertrand and Guitter,
Emmanuel},
title = {Renormalization and hyperscaling for self-avoiding
manifold models},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {72},
year = {1994},
number = {3},
pages = {311--315},
issn = {0031-9007},
mrclass = {82B41 (82B28)},
mrnumber = {1253933},
doi = {10.1103/PhysRevLett.72.311},
url = {https://doi.org/10.1103/PhysRevLett.72.311}
}
@Article{ david.kupiainen.ea:16:liouville,
author = {David, Fran\c cois and Kupiainen, Antti and Rhodes, R\'emi
and Vargas, Vincent},
title = {Liouville quantum gravity on the {R}iemann sphere},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {342},
year = {2016},
number = {3},
pages = {869--907},
issn = {0010-3616,1432-0916},
mrclass = {81T20},
mrnumber = {3465434},
doi = {10.1007/s00220-016-2572-4},
url = {https://doi.org/10.1007/s00220-016-2572-4}
}
@Article{ david.kupiainen.ea:17:renormalizability,
author = {David, Fran\c cois and Kupiainen, Antti and Rhodes, R\'emi
and Vargas, Vincent},
title = {Renormalizability of {L}iouville quantum field theory at
the {S}eiberg bound},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 93, 26},
issn = {1083-6489},
mrclass = {81T40 (60D05 81T20)},
mrnumber = {3724561},
mrreviewer = {Nizar\ Demni},
doi = {10.1214/17-EJP113},
url = {https://doi.org/10.1214/17-EJP113}
}
@Article{ david.rhodes.ea:16:liouville,
author = {David, Fran\c cois and Rhodes, R\'emi and Vargas, Vincent},
title = {Liouville quantum gravity on complex tori},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {57},
year = {2016},
number = {2},
pages = {022302, 25},
issn = {0022-2488,1089-7658},
mrclass = {81T20},
mrnumber = {3450564},
doi = {10.1063/1.4938107},
url = {https://doi.org/10.1063/1.4938107}
}
@Article{ david:88:conformal,
author = {David, F.},
title = {Conformal field theories coupled to {$2$}-{D} gravity in
the conformal gauge},
journal = {Modern Phys. Lett. A},
fjournal = {Modern Physics Letters A. Particles and Fields,
Gravitation, Cosmology, Nuclear Physics},
volume = {3},
year = {1988},
number = {17},
pages = {1651--1656},
issn = {0217-7323},
mrclass = {81E99 (58G10 81E40 83C45)},
mrnumber = {981529},
doi = {10.1142/S0217732388001975},
url = {https://doi.org/10.1142/S0217732388001975}
}
@Article{ davie:07:uniqueness,
author = {Davie, A. M.},
title = {Uniqueness of solutions of stochastic differential
equations},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2007},
number = {24},
pages = {Art. ID rnm124, 26},
issn = {1073-7928},
mrclass = {60H10 (34F05)},
mrnumber = {2377011},
mrreviewer = {Mario Abundo},
doi = {10.1093/imrn/rnm124},
url = {https://doi.org/10.1093/imrn/rnm124}
}
@Article{ davies.simon:84:ultracontractivity,
author = {Davies, E. B. and Simon, B.},
title = {Ultracontractivity and the heat kernel for {S}chr\"odinger
operators and {D}irichlet {L}aplacians},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {59},
year = {1984},
number = {2},
pages = {335--395},
issn = {0022-1236},
mrclass = {47F05 (35J05 35J10 35K05 35P99)},
mrnumber = {766493},
mrreviewer = {Evans\ M.\ Harrell},
doi = {10.1016/0022-1236(84)90076-4},
url = {https://doi.org/10.1016/0022-1236(84)90076-4}
}
@Book{ davies:02:integral,
author = {Davies, Brian},
title = {Integral transforms and their applications},
series = {Texts in Applied Mathematics},
volume = {41},
edition = {Third},
publisher = {Springer-Verlag, New York},
year = {2002},
pages = {xvii+367},
isbn = {0-387-95314-0},
mrclass = {44-01},
mrnumber = {1867914},
doi = {10.1007/978-1-4684-9283-5},
url = {https://doi.org/10.1007/978-1-4684-9283-5}
}
@Article{ davies:87:equivalence,
author = {Davies, E. B.},
title = {The equivalence of certain heat kernel and {G}reen
function bounds},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {71},
year = {1987},
number = {1},
pages = {88--103},
issn = {0022-1236},
mrclass = {35J25 (35K05)},
mrnumber = {879702},
mrreviewer = {I. T. Mamedov},
doi = {10.1016/0022-1236(87)90017-6},
url = {https://doi.org/10.1016/0022-1236(87)90017-6}
}
@Book{ davies:89:heat,
author = {Davies, E. B.},
title = {Heat kernels and spectral theory},
series = {Cambridge Tracts in Mathematics},
volume = {92},
publisher = {Cambridge University Press, Cambridge},
year = {1989},
pages = {x+197},
isbn = {0-521-36136-2},
mrclass = {35P15 (35J25 35P20 47F05 58G05 58G11 58G25)},
mrnumber = {990239},
mrreviewer = {H. Triebel},
doi = {10.1017/CBO9780511566158},
url = {https://doi.org/10.1017/CBO9780511566158}
}
@Book{ davies:90:heat,
author = {Davies, E. B.},
title = {Heat kernels and spectral theory},
series = {Cambridge Tracts in Mathematics},
volume = {92},
publisher = {Cambridge University Press, Cambridge},
year = {1990},
pages = {x+197},
isbn = {0-521-40997-7},
mrclass = {35D05 (35-02 35J15 35K05 47F05 58G11)},
mrnumber = {1103113}
}
@Book{ davies:95:spectral,
author = {Davies, E. B.},
title = {Spectral theory and differential operators},
series = {Cambridge Studies in Advanced Mathematics},
volume = {42},
publisher = {Cambridge University Press, Cambridge},
year = {1995},
pages = {x+182},
isbn = {0-521-47250-4},
mrclass = {47F05 (35Pxx 47A10 47B25 81Q10)},
mrnumber = {1349825},
mrreviewer = {Peter D. Hislop},
doi = {10.1017/CBO9780511623721},
url = {https://doi.org/10.1017/CBO9780511623721}
}
@Article{ davila.bonder.ea:05:numerical,
author = {D\'{a}vila, Juan and Bonder, Julian Fern\'{a}ndez and
Rossi, Julio D. and Groisman, Pablo and Sued, Mariela},
title = {Numerical analysis of stochastic differential equations
with explosions},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {23},
year = {2005},
number = {4},
pages = {809--825},
issn = {0736-2994},
mrclass = {60H35 (60H10 65C30)},
mrnumber = {2153586},
mrreviewer = {Roger Pettersson},
doi = {10.1081/SAP-200064484},
url = {https://doi.org/10.1081/SAP-200064484}
}
@Book{ davis:62:introduction,
author = {Davis, Harold T.},
title = {Introduction to nonlinear differential and integral
equations},
publisher = {Dover Publications, Inc., New York},
year = {1962},
pages = {xv+566},
mrclass = {34.00},
mrnumber = {0181773},
mrreviewer = {T. L. Saaty}
}
@Article{ davis:76:on,
author = {Davis, Burgess},
title = {On the {$L^{p}$} norms of stochastic integrals and other
martingales},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {43},
year = {1976},
number = {4},
pages = {697--704},
issn = {0012-7094},
mrclass = {60G45},
mrnumber = {418219},
mrreviewer = {Maurizio Pratelli},
url = {http://projecteuclid.org/euclid.dmj/1077311944}
}
@Article{ davydov.khoshnevisan.ea:07:convex,
author = {Davydov, Youri and Khoshnevisan, Davar and Shi, Zhan and
Zitikis, Ri\v{c}ardas},
title = {Convex rearrangements, generalized {L}orenz curves, and
correlated {G}aussian data},
journal = {J. Statist. Plann. Inference},
fjournal = {Journal of Statistical Planning and Inference},
volume = {137},
year = {2007},
number = {3},
pages = {915--934},
issn = {0378-3758},
mrclass = {60G15 (60G18)},
mrnumber = {2301726},
mrreviewer = {Raby Guerbaz},
doi = {10.1016/j.jspi.2006.06.032},
url = {https://doi.org/10.1016/j.jspi.2006.06.032}
}
@Article{ dawson.etheridge.ea:02:mutually,
author = {Dawson, Donald A. and Etheridge, Alison M. and
Fleischmann, Klaus and Mytnik, Leonid and Perkins, Edwin A.
and Xiong, Jie},
title = {Mutually catalytic branching in the plane: infinite
measure states},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {7},
year = {2002},
pages = {No. 15, 61},
issn = {1083-6489},
mrclass = {60K35 (60G57 60J80)},
mrnumber = {1921744},
mrreviewer = {Achim Klenke},
doi = {10.1214/EJP.v7-114},
url = {https://doi.org/10.1214/EJP.v7-114}
}
@Article{ dawson.etheridge.ea:02:mutually*1,
author = {Dawson, Donald A. and Etheridge, Alison M. and
Fleischmann, Klaus and Mytnik, Leonid and Perkins, Edwin A.
and Xiong, Jie},
title = {Mutually catalytic branching in the plane: finite measure
states},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {30},
year = {2002},
number = {4},
pages = {1681--1762},
issn = {0091-1798},
mrclass = {60K35 (60G57 60J80)},
mrnumber = {1944004},
mrreviewer = {Roger Tribe},
doi = {10.1214/aop/1039548370},
url = {https://doi.org/10.1214/aop/1039548370}
}
@Article{ dawson.feng:01:large,
author = {Dawson, Donald A. and Feng, Shui},
title = {Large deviations for the {F}leming-{V}iot process with
neutral mutation and selection. {II}},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {92},
year = {2001},
number = {1},
pages = {131--162},
issn = {0304-4149},
mrclass = {60F10 (60G57 60J60 60J70 92D10)},
mrnumber = {1815182},
mrreviewer = {Anatolii A. Pukhal{\cprime}skiu{i}},
doi = {10.1016/S0304-4149(00)00070-3},
url = {https://doi.org/10.1016/S0304-4149(00)00070-3}
}
@Article{ dawson.feng:98:large,
author = {Dawson, Donald A. and Feng, Shui},
title = {Large deviations for the {F}leming-{V}iot process with
neutral mutation and selection},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {77},
year = {1998},
number = {2},
pages = {207--232},
issn = {0304-4149},
mrclass = {60F10 (60G57 60J10 92D10)},
mrnumber = {1649005},
mrreviewer = {Anatolii A. Pukhal{\cprime}skiu{i}},
doi = {10.1016/S0304-4149(98)00035-0},
url = {https://doi.org/10.1016/S0304-4149(98)00035-0}
}
@Article{ dawson.fleischmann.ea:00:finite,
author = {Dawson, Donald A. and Fleischmann, Klaus and Mueller,
Carl},
title = {Finite time extinction of superprocesses with catalysts},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {2},
pages = {603--642},
issn = {0091-1798},
mrclass = {60J80 (60G57 60J55)},
mrnumber = {1782268},
mrreviewer = {Achim Klenke},
doi = {10.1214/aop/1019160254},
url = {https://doi.org/10.1214/aop/1019160254}
}
@Article{ dawson.fleischmann.ea:03:mutually,
author = {Dawson, Donald A. and Fleischmann, Klaus and Mytnik,
Leonid and Perkins, Edwin A. and Xiong, Jie},
title = {Mutually catalytic branching in the plane: uniqueness},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {39},
year = {2003},
number = {1},
pages = {135--191},
issn = {0246-0203},
mrclass = {60K35 (60G57 60J80)},
mrnumber = {1959845},
mrreviewer = {Olivier Raimond},
doi = {10.1016/S0246-0203(02)00006-7},
url = {https://doi.org/10.1016/S0246-0203(02)00006-7}
}
@Article{ dawson.fleischmann.ea:95:singularity,
author = {Dawson, Donald A. and Fleischmann, Klaus and Li, Yi and
Mueller, Carl},
title = {Singularity of super-{B}rownian local time at a point
catalyst},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {1},
pages = {37--55},
issn = {0091-1798},
mrclass = {60J80 (60G57 60J65)},
mrnumber = {1330759},
mrreviewer = {Steven N. Evans},
url = {http://links.jstor.org/sici?sici=0091-1798(199501)23:1<37:SOSLTA>2.0.CO;2-Q&origin=MSN}
}
@Article{ dawson.hochberg:79:carrying,
author = {Dawson, Donald A. and Hochberg, Kenneth J.},
title = {The carrying dimension of a stochastic measure diffusion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {7},
year = {1979},
number = {4},
pages = {693--703},
issn = {0091-1798},
mrclass = {60J80 (60J60)},
mrnumber = {537215},
mrreviewer = {H. Kesten},
url = {http://links.jstor.org/sici?sici=0091-1798(197908)7:4<693:TCDOAS>2.0.CO;2-E&origin=MSN}
}
@Article{ dawson.iscoe.ea:89:super-brownian,
author = {Dawson, D. A. and Iscoe, I. and Perkins, E. A.},
title = {Super-{B}rownian motion: path properties and hitting
probabilities},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {83},
year = {1989},
number = {1-2},
pages = {135--205},
issn = {0178-8051},
mrclass = {60G17 (60G57)},
mrnumber = {1012498},
mrreviewer = {Steven N. Evans},
doi = {10.1007/BF00333147},
url = {https://doi.org/10.1007/BF00333147}
}
@InCollection{ dawson.kurtz:82:applications,
author = {Dawson, Donald A. and Kurtz, Thomas G.},
title = {Applications of duality to measure-valued diffusion
processes},
booktitle = {Advances in filtering and optimal stochastic control
({C}ocoyoc, 1982)},
series = {Lect. Notes Control Inf. Sci.},
volume = {42},
pages = {91--105},
publisher = {Springer, Berlin},
year = {1982},
mrclass = {60J60 (60J70 92A10 93E11)},
mrnumber = {794506},
mrreviewer = {G\'{e}rald Mazziotto},
doi = {10.1007/BFb0004528},
url = {https://doi.org/10.1007/BFb0004528}
}
@Article{ dawson.li.ea:95:support,
author = {Dawson, D. and Li, Y. and Mueller, C.},
title = {The support of measure-valued branching processes in a
random environment},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {4},
pages = {1692--1718},
issn = {0091-1798},
mrclass = {60J80},
mrnumber = {1379164},
mrreviewer = {Klaus Fleischmann},
url = {http://links.jstor.org/sici?sici=0091-1798(199510)23:4<1692:TSOMBP>2.0.CO;2-S&origin=MSN}
}
@Article{ dawson.li:12:stochastic,
author = {Dawson, Donald A. and Li, Zenghu},
title = {Stochastic equations, flows and measure-valued processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {2},
pages = {813--857},
issn = {0091-1798},
mrclass = {60J68 (60H20 60J25 60J80)},
mrnumber = {2952093},
mrreviewer = {Jos\'{e} Villa-Morales},
doi = {10.1214/10-AOP629},
url = {https://doi.org/10.1214/10-AOP629}
}
@Book{ dawson.perkins:12:superprocesses,
author = {Dawson, Donald A. and Perkins, Edwin},
title = {Superprocesses at {S}aint-{F}lour},
series = {Probability at Saint-Flour},
publisher = {Springer, Heidelberg},
year = {2012},
pages = {vi+468},
isbn = {978-3-642-25431-4},
mrclass = {60-06 (00B60 60J68)},
mrnumber = {3075367}
}
@Article{ dawson.perkins:91:historical,
author = {Dawson, Donald A. and Perkins, Edwin A.},
title = {Historical processes},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {93},
year = {1991},
number = {454},
pages = {iv+179},
issn = {0065-9266},
mrclass = {60H15 (60J60 60J80)},
mrnumber = {1079034},
mrreviewer = {Steven N. Evans},
doi = {10.1090/memo/0454},
url = {https://doi.org/10.1090/memo/0454}
}
@Article{ dawson.salehi:80:spatially,
author = {Dawson, Donald A. and Salehi, Habib},
title = {Spatially homogeneous random evolutions},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {10},
year = {1980},
number = {2},
pages = {141--180},
issn = {0047-259X},
mrclass = {60H10 (60J70)},
mrnumber = {575923},
mrreviewer = {Fran\c{c}ois Bronner},
doi = {10.1016/0047-259X(80)90012-3},
url = {https://doi.org/10.1016/0047-259X(80)90012-3}
}
@Article{ dawson.vaillancourt.ea:00:stochastic,
author = {Dawson, D. A. and Vaillancourt, J. and Wang, H.},
title = {Stochastic partial differential equations for a class of
interacting measure-valued diffusions},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {36},
year = {2000},
number = {2},
pages = {167--180},
issn = {0246-0203},
mrclass = {60H15 (60G57 60J60)},
mrnumber = {1751657},
mrreviewer = {Luis G. Gorostiza},
doi = {10.1016/S0246-0203(00)00121-7},
url = {https://doi.org/10.1016/S0246-0203(00)00121-7}
}
@Article{ dawson:72:stochastic,
author = {Dawson, D. A.},
title = {Stochastic evolution equations},
journal = {Math. Biosci.},
fjournal = {Mathematical Biosciences},
volume = {15},
year = {1972},
pages = {287--316},
issn = {0025-5564},
mrclass = {60H15 (60J70)},
mrnumber = {321178},
mrreviewer = {Yu. L. Daletskiu{i}},
doi = {10.1016/0025-5564(72)90039-9},
url = {https://doi.org/10.1016/0025-5564(72)90039-9}
}
@Article{ dawson:78:geostochastic,
author = {Dawson, D. A.},
title = {Geostochastic calculus},
journal = {Canad. J. Statist.},
fjournal = {The Canadian Journal of Statistics. La Revue Canadienne de
Statistique},
volume = {6},
year = {1978},
number = {2},
pages = {143--168},
issn = {0319-5724},
mrclass = {60J60 (60G44 60H05 92A09)},
mrnumber = {532855},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.2307/3315044},
url = {https://doi.org/10.2307/3315044}
}
@InCollection{ dawson:92:infinitely,
author = {Dawson, Donald A.},
title = {Infinitely divisible random measures and superprocesses},
booktitle = {Stochastic analysis and related topics ({S}ilivri, 1990)},
series = {Progr. Probab.},
volume = {31},
pages = {1--129},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1992},
mrclass = {60G57 (60H15 60J80)},
mrnumber = {1203373},
mrreviewer = {Luis G. Gorostiza}
}
@InCollection{ dawson:93:measure-valued,
author = {Dawson, Donald A.},
title = {Measure-valued {M}arkov processes},
booktitle = {\'{E}cole d'\'{E}t\'{e} de {P}robabilit\'{e}s de
{S}aint-{F}lour {XXI}---1991},
series = {Lecture Notes in Math.},
volume = {1541},
pages = {1--260},
publisher = {Springer, Berlin},
year = {1993},
mrclass = {60G57 (60H15 60J70 60J80)},
mrnumber = {1242575},
mrreviewer = {Luis G. Gorostiza},
doi = {10.1007/BFb0084190},
url = {https://doi.org/10.1007/BFb0084190}
}
@Article{ de-leenheer.shen.ea:20:persistence,
author = {De Leenheer, Patrick and Shen, Wenxian and Zhang, Aijun},
title = {Persistence and extinction of nonlocal dispersal evolution
equations in moving habitats},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {54},
year = {2020},
pages = {103110, 33},
issn = {1468-1218,1878-5719},
mrclass = {35R09 (35C07)},
mrnumber = {4062344},
mrreviewer = {Stanley\ Snelson},
doi = {10.1016/j.nonrwa.2020.103110},
url = {https://doi.org/10.1016/j.nonrwa.2020.103110}
}
@Article{ de-masi.presutti.ea:89:weakly,
author = {De Masi, A. and Presutti, E. and Scacciatelli, E.},
title = {The weakly asymmetric simple exclusion process},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistique},
volume = {25},
year = {1989},
number = {1},
pages = {1--38},
issn = {0246-0203},
mrclass = {60K35 (35Q99 82A31)},
mrnumber = {995290},
mrreviewer = {Pablo A. Ferrari},
url = {http://www.numdam.org/item?id=AIHPB_1989__25_1_1_0}
}
@Article{ debbi.dozzi:05:on,
author = {Debbi, Latifa and Dozzi, Marco},
title = {On the solutions of nonlinear stochastic fractional
partial differential equations in one spatial dimension},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {115},
year = {2005},
number = {11},
pages = {1764--1781},
issn = {0304-4149},
mrclass = {60H15 (60G60)},
mrnumber = {2172885},
mrreviewer = {Nicholas Frangos},
doi = {10.1016/j.spa.2005.06.001},
url = {https://doi.org/10.1016/j.spa.2005.06.001}
}
@Article{ debbi:06:explicit,
author = {Debbi, Latifa},
title = {Explicit solutions of some fractional partial differential
equations via stable subordinators},
journal = {J. Appl. Math. Stoch. Anal.},
fjournal = {Journal of Applied Mathematics and Stochastic Analysis.
JAMSA},
year = {2006},
pages = {Art. ID 93502, 18},
issn = {1048-9533},
mrclass = {35K30 (35C05 60G51)},
mrnumber = {2221004},
doi = {10.1155/JAMSA/2006/93502},
url = {https://doi.org/10.1155/JAMSA/2006/93502}
}
@Article{ debbi:07:on,
author = {Debbi, Latifa},
title = {On some properties of a high order fractional differential
operator which is not in general selfadjoint},
journal = {Appl. Math. Sci. (Ruse)},
fjournal = {Applied Mathematical Sciences},
volume = {1},
year = {2007},
number = {25-28},
pages = {1325--1339},
issn = {1312-885X},
mrclass = {26A33 (35S05 47G30 60J35)},
mrnumber = {2354419}
}
@Article{ deblassie:04:iterated,
author = {DeBlassie, R. Dante},
title = {Iterated {B}rownian motion in an open set},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {14},
year = {2004},
number = {3},
pages = {1529--1558},
issn = {1050-5164},
mrclass = {60J65 (60K99)},
mrnumber = {2071433},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1214/105051604000000404},
url = {https://doi.org/10.1214/105051604000000404}
}
@Article{ debussche.tsutsumi:11:1d,
author = {Debussche, Arnaud and Tsutsumi, Yoshio},
title = {1{D} quintic nonlinear {S}chr\"{o}dinger equation with
white noise dispersion},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {96},
year = {2011},
number = {4},
pages = {363--376},
issn = {0021-7824},
mrclass = {35Q55 (35R60 60H15)},
mrnumber = {2832639},
mrreviewer = {Mar\'{\i}a J. Garrido-Atienza},
doi = {10.1016/j.matpur.2011.02.002},
url = {https://doi.org/10.1016/j.matpur.2011.02.002}
}
@Article{ debussche.zambotti:07:conservative,
author = {Debussche, Arnaud and Zambotti, Lorenzo},
title = {Conservative stochastic {C}ahn-{H}illiard equation with
reflection},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {5},
pages = {1706--1739},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (35R60 37L40 60H07)},
mrnumber = {2349572},
mrreviewer = {Jan\ I.\ Seidler},
doi = {10.1214/009117906000000773},
url = {https://doi.org/10.1214/009117906000000773}
}
@InCollection{ deconinck:10:multidimensional,
author = {Deconinck, B.},
title = {Multidimensional theta functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {537--547},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33E05 (14K25 33F05)},
mrnumber = {2655361}
}
@Article{ decreusefond.hu.ea:93:inegalite,
author = {Decreusefond, Laurent and Hu, Yao Zhong and
\"{U}st\"{u}nel, Ali S\"{u}leyman},
title = {Une in\'{e}galit\'{e} d'interpolation sur l'espace de
{W}iener},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {317},
year = {1993},
number = {11},
pages = {1065--1067},
issn = {0764-4442},
mrclass = {60H07},
mrnumber = {1249790}
}
@InCollection{ decreusefond.nualart:07:flow,
author = {Decreusefond, Laurent and Nualart, David},
title = {Flow properties of differential equations driven by
fractional {B}rownian motion},
booktitle = {Stochastic differential equations: theory and
applications},
series = {Interdiscip. Math. Sci.},
volume = {2},
pages = {249--262},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2007},
mrclass = {60H10 (60G15)},
mrnumber = {2393579},
mrreviewer = {Andreas Neuenkirch},
doi = {10.1142/9789812770639\_0009},
url = {https://doi.org/10.1142/9789812770639_0009}
}
@Article{ decreusefond.nualart:08:hitting,
author = {Decreusefond, Laurent and Nualart, David},
title = {Hitting times for {G}aussian processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {36},
year = {2008},
number = {1},
pages = {319--330},
issn = {0091-1798},
mrclass = {60G15 (60G40 60H05 60H07)},
mrnumber = {2370606},
mrreviewer = {Giovanni Peccati},
doi = {10.1214/009117907000000132},
url = {https://doi.org/10.1214/009117907000000132}
}
@Article{ decreusefond:02:regularity,
author = {Decreusefond, L.},
title = {Regularity properties of some stochastic {V}olterra
integrals with singular kernel},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {16},
year = {2002},
number = {2},
pages = {139--149},
issn = {0926-2601},
mrclass = {60H05},
mrnumber = {1881594},
mrreviewer = {Wilfried Grecksch},
doi = {10.1023/A:1012628013041},
url = {https://doi.org/10.1023/A:1012628013041}
}
@InCollection{ defigueiredo.hu:00:on,
author = {Defigueiredo, Rui J. P. and Hu, Yaozhong},
title = {On nonlinear filtering of non-{G}aussian processes through
{V}olterra series},
booktitle = {Volterra equations and applications ({A}rlington, {TX},
1996)},
series = {Stability Control Theory Methods Appl.},
volume = {10},
pages = {197--202},
publisher = {Gordon and Breach, Amsterdam},
year = {2000},
mrclass = {93E11 (46N10 47N70)},
mrnumber = {1754584}
}
@Article{ deift.gioev:07:universality,
author = {Deift, Percy and Gioev, Dimitri},
title = {Universality at the edge of the spectrum for unitary,
orthogonal, and symplectic ensembles of random matrices},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {60},
year = {2007},
number = {6},
pages = {867--910},
issn = {0010-3640,1097-0312},
mrclass = {60F99 (15A52 82B41)},
mrnumber = {2306224},
mrreviewer = {Du ang\ V\~u\ Giang},
doi = {10.1002/cpa.20164},
url = {https://doi.org/10.1002/cpa.20164}
}
@Article{ deift.gioev:07:universality*1,
author = {Deift, Percy and Gioev, Dimitri},
title = {Universality in random matrix theory for orthogonal and
symplectic ensembles},
journal = {Int. Math. Res. Pap. IMRP},
fjournal = {International Mathematics Research Papers. IMRP},
year = {2007},
number = {2},
pages = {Art. ID rpm004, 116},
issn = {1687-3017,1687-3009},
mrclass = {82B41 (15A52 62E20 62H05)},
mrnumber = {2335245},
mrreviewer = {Nizar\ Demni}
}
@Book{ deift.gioev:09:random,
author = {Deift, Percy and Gioev, Dimitri},
title = {Random matrix theory: invariant ensembles and
universality},
series = {Courant Lecture Notes in Mathematics},
volume = {18},
publisher = {Courant Institute of Mathematical Sciences, New York;
American Mathematical Society, Providence, RI},
year = {2009},
pages = {x+217},
isbn = {978-0-8218-4737-4},
mrclass = {60B20 (15B52 47N50 60-02 60E05 62H99)},
mrnumber = {2514781},
mrreviewer = {Djalil Chafa\"{i}},
doi = {10.1090/cln/018},
url = {https://doi.org/10.1090/cln/018}
}
@Article{ deift.hempel:86:on,
author = {Deift, Percy A. and Hempel, Rainer},
title = {On the existence of eigenvalues of the {S}chr\"odinger
operator {$H-\lambda W$} in a gap of {$\sigma(H)$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {103},
year = {1986},
number = {3},
pages = {461--490},
issn = {0010-3616,1432-0916},
mrclass = {35P15 (35J10 47F05 81C10)},
mrnumber = {832922},
mrreviewer = {Helge\ Holden},
url = {http://projecteuclid.org/euclid.cmp/1104114795}
}
@InCollection{ deift.it-s.ea:93:long-time,
author = {Deift, P. A. and It\cdot s, A. R. and Zhou, X.},
title = {Long-time asymptotics for integrable nonlinear wave
equations},
booktitle = {Important developments in soliton theory},
series = {Springer Ser. Nonlinear Dynam.},
pages = {181--204},
publisher = {Springer, Berlin},
year = {1993},
isbn = {3-540-55913-2},
mrclass = {35B40 (35Q53 35Q55)},
mrnumber = {1280475},
mrreviewer = {John\ Albert}
}
@Article{ deift.its.ea:07:widom-dyson,
author = {Deift, P. and Its, A. and Krasovsky, I. and Zhou, X.},
title = {The {W}idom-{D}yson constant for the gap probability in
random matrix theory},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {202},
year = {2007},
number = {1},
pages = {26--47},
issn = {0377-0427,1879-1778},
mrclass = {82B41 (15A52 30E25 34E05)},
mrnumber = {2301810},
mrreviewer = {Razvan\ Teodorescu},
doi = {10.1016/j.cam.2005.12.040},
url = {https://doi.org/10.1016/j.cam.2005.12.040}
}
@Article{ deift.its.ea:08:asymptotics,
author = {Deift, P. and Its, A. and Krasovsky, I.},
title = {Asymptotics of the {A}iry-kernel determinant},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {278},
year = {2008},
number = {3},
pages = {643--678},
issn = {0010-3616,1432-0916},
mrclass = {47G10 (33C10 47A53 47B35 47N30 60F99 82B05 82B44)},
mrnumber = {2373439},
mrreviewer = {A.\ B\"ottcher},
doi = {10.1007/s00220-007-0409-x},
url = {https://doi.org/10.1007/s00220-007-0409-x}
}
@Article{ deift.its.ea:11:asymptotics,
author = {Deift, Percy and Its, Alexander and Krasovsky, Igor},
title = {Asymptotics of {T}oeplitz, {H}ankel, and
{T}oeplitz+{H}ankel determinants with {F}isher-{H}artwig
singularities},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {174},
year = {2011},
number = {2},
pages = {1243--1299},
issn = {0003-486X,1939-8980},
mrclass = {47B35 (11M50 15A15 30E25 42C05 47B38)},
mrnumber = {2831118},
mrreviewer = {A.\ B\"ottcher},
doi = {10.4007/annals.2011.174.2.12},
url = {https://doi.org/10.4007/annals.2011.174.2.12}
}
@Article{ deift.its.ea:13:toeplitz,
author = {Deift, Percy and Its, Alexander and Krasovsky, Igor},
title = {Toeplitz matrices and {T}oeplitz determinants under the
impetus of the {I}sing model: some history and some recent
results},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {66},
year = {2013},
number = {9},
pages = {1360--1438},
issn = {0010-3640,1097-0312},
mrclass = {82B20 (15B05)},
mrnumber = {3078693},
mrreviewer = {Adnene\ Besbes},
doi = {10.1002/cpa.21467},
url = {https://doi.org/10.1002/cpa.21467}
}
@Article{ deift.its.ea:97:riemann-hilbert,
author = {Deift, Percy A. and Its, Alexander R. and Zhou, Xin},
title = {A {R}iemann-{H}ilbert approach to asymptotic problems
arising in the theory of random matrix models, and also in
the theory of integrable statistical mechanics},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {146},
year = {1997},
number = {1},
pages = {149--235},
issn = {0003-486X,1939-8980},
mrclass = {47G10 (15A52 30E25 34A55 34E20 41A60 82B23 82B44)},
mrnumber = {1469319},
mrreviewer = {John\ N.\ Palmer},
doi = {10.2307/2951834},
url = {https://doi.org/10.2307/2951834}
}
@Article{ deift.its.ea:99:on,
author = {Deift, P. and Its, A. and Kapaev, A. and Zhou, X.},
title = {On the algebro-geometric integration of the {S}chlesinger
equations},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {203},
year = {1999},
number = {3},
pages = {613--633},
issn = {0010-3616,1432-0916},
mrclass = {34M55 (32G34)},
mrnumber = {1700154},
mrreviewer = {Eugen\ Belokolos},
doi = {10.1007/s002200050037},
url = {https://doi.org/10.1007/s002200050037}
}
@Article{ deift.kamvissis.ea:96:toda,
author = {Deift, Percy and Kamvissis, Spyridon and Kriecherbauer,
Thomas and Zhou, Xin},
title = {The {T}oda rarefaction problem},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {49},
year = {1996},
number = {1},
pages = {35--83},
issn = {0010-3640,1097-0312},
mrclass = {34A55 (34K25 34L40 35Q35)},
mrnumber = {1369835},
mrreviewer = {Alexander\ Vladimirovich\ Kitaev},
doi = {10.1002/(SICI)1097-0312(199601)49:1<35::AID-CPA2>3.0.CO;2-8},
url = {https://doi.org/10.1002/(SICI)1097-0312(199601)49:1<35::AID-CPA2>3.0.CO;2-8}
}
@Article{ deift.killip:99:on,
author = {Deift, P. and Killip, R.},
title = {On the absolutely continuous spectrum of one-dimensional
{S}chr\"odinger operators with square summable potentials},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {203},
year = {1999},
number = {2},
pages = {341--347},
issn = {0010-3616,1432-0916},
mrclass = {34L40 (34L25 39A70 47B39 47E05 81Q10)},
mrnumber = {1697600},
mrreviewer = {Christian\ Remling},
doi = {10.1007/s002200050615},
url = {https://doi.org/10.1007/s002200050615}
}
@Article{ deift.krasovsky.ea:11:asymptotics,
author = {Deift, Percy and Krasovsky, Igor and Vasilevska, Julia},
title = {Asymptotics for a determinant with a confluent
hypergeometric kernel},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2011},
number = {9},
pages = {2117--2160},
issn = {1073-7928,1687-0247},
mrclass = {60B20 (33C15 47B10 47G10 47N30)},
mrnumber = {2806560},
mrreviewer = {Sasha\ Sodin},
doi = {10.1093/imrn/rnq150},
url = {https://doi.org/10.1093/imrn/rnq150}
}
@Article{ deift.kriecherbauer.ea:97:asymptotics,
author = {Deift, P. and Kriecherbauer, T. and McLaughlin, K. T-R and
Venakides, S. and Zhou, X.},
title = {Asymptotics for polynomials orthogonal with respect to
varying exponential weights},
journal = {Internat. Math. Res. Notices},
fjournal = {International Mathematics Research Notices},
year = {1997},
number = {16},
pages = {759--782},
issn = {1073-7928,1687-0247},
mrclass = {34A55 (15A52 34L25 35Q53 82B44)},
mrnumber = {1472344},
mrreviewer = {Alexander\ Vladimirovich\ Kitaev},
doi = {10.1155/S1073792897000500},
url = {https://doi.org/10.1155/S1073792897000500}
}
@Article{ deift.kriecherbauer.ea:98:new,
author = {Deift, P. and Kriecherbauer, T. and McLaughlin, K. T.-R.},
title = {New results on the equilibrium measure for logarithmic
potentials in the presence of an external field},
journal = {J. Approx. Theory},
fjournal = {Journal of Approximation Theory},
volume = {95},
year = {1998},
number = {3},
pages = {388--475},
issn = {0021-9045,1096-0430},
mrclass = {31A99 (34A55 34L25 34M99 41A10 45E05)},
mrnumber = {1657691},
mrreviewer = {John\ Albert},
doi = {10.1006/jath.1997.3229},
url = {https://doi.org/10.1006/jath.1997.3229}
}
@Article{ deift.kriecherbauer.ea:99:strong,
author = {Deift, P. and Kriecherbauer, T. and McLaughlin, K. T-R and
Venakides, S. and Zhou, X.},
title = {Strong asymptotics of orthogonal polynomials with respect
to exponential weights},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {52},
year = {1999},
number = {12},
pages = {1491--1552},
issn = {0010-3640,1097-0312},
mrclass = {42C05},
mrnumber = {1711036},
mrreviewer = {D.\ S.\ Lubinsky},
doi = {10.1002/(sici)1097-0312(199912)52:12<1491::aid-cpa2>3.0.co;2-#},
url = {https://doi.org/10.1002/(sici)1097-0312(199912)52:12<1491::aid-cpa2>3.0.co;2-#}
}
@Article{ deift.kriecherbauer.ea:99:uniform,
author = {Deift, P. and Kriecherbauer, T. and McLaughlin, K. T.-R.
and Venakides, S. and Zhou, X.},
title = {Uniform asymptotics for polynomials orthogonal with
respect to varying exponential weights and applications to
universality questions in random matrix theory},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {52},
year = {1999},
number = {11},
pages = {1335--1425},
issn = {0010-3640,1097-0312},
mrclass = {42C05 (15A52 41A60 82B41)},
mrnumber = {1702716},
mrreviewer = {D.\ S.\ Lubinsky},
doi = {10.1002/(SICI)1097-0312(199911)52:11<1335::AID-CPA1>3.0.CO;2-1},
url = {https://doi.org/10.1002/(SICI)1097-0312(199911)52:11<1335::AID-CPA1>3.0.CO;2-1}
}
@Article{ deift.li.ea:86:toda,
author = {Deift, P. and Li, L. C. and Nanda, T. and Tomei, C.},
title = {The {T}oda flow on a generic orbit is integrable},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {39},
year = {1986},
number = {2},
pages = {183--232},
issn = {0010-3640,1097-0312},
mrclass = {58F07 (58F05)},
mrnumber = {820068},
mrreviewer = {Tudor\ S.\ Ra\c tiu},
doi = {10.1002/cpa.3160390203},
url = {https://doi.org/10.1002/cpa.3160390203}
}
@Article{ deift.li.ea:89:matrix,
author = {Deift, P. and Li, L. C. and Tomei, C.},
title = {Matrix factorizations and integrable systems},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {42},
year = {1989},
number = {4},
pages = {443--521},
issn = {0010-3640,1097-0312},
mrclass = {58F07 (15A18 35Q53 70H05)},
mrnumber = {990138},
mrreviewer = {Randolph\ J.\ Schilling},
doi = {10.1002/cpa.3160420405},
url = {https://doi.org/10.1002/cpa.3160420405}
}
@Article{ deift.mclaughlin:98:continuum,
author = {Deift, P. and McLaughlin, K. T-R},
title = {A continuum limit of the {T}oda lattice},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {131},
year = {1998},
number = {624},
pages = {x+216},
issn = {0065-9266,1947-6221},
mrclass = {58F07 (35Q53)},
mrnumber = {1407901},
mrreviewer = {Alexander\ V.\ Shapovalov},
doi = {10.1090/memo/0624},
url = {https://doi.org/10.1090/memo/0624}
}
@Article{ deift.nanda.ea:83:ordinary,
author = {Deift, P. and Nanda, T. and Tomei, C.},
title = {Ordinary differential equations and the symmetric
eigenvalue problem},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {20},
year = {1983},
number = {1},
pages = {1--22},
issn = {0036-1429},
mrclass = {58F19 (58F07 65L15)},
mrnumber = {687364},
doi = {10.1137/0720001},
url = {https://doi.org/10.1137/0720001}
}
@Article{ deift.park:11:long-time,
author = {Deift, Percy and Park, Jungwoon},
title = {Long-time asymptotics for solutions of the {NLS} equation
with a delta potential and even initial data},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2011},
number = {24},
pages = {5505--5624},
issn = {1073-7928,1687-0247},
mrclass = {35Q55 (35A30 35B35 35B40 35Q15)},
mrnumber = {2863375},
mrreviewer = {Olivier\ J.\ Goubet},
doi = {10.1007/s11005-010-0458-5},
url = {https://doi.org/10.1007/s11005-010-0458-5}
}
@Article{ deift.simon:83:almost,
author = {Deift, P. and Simon, B.},
title = {Almost periodic {S}chr\"odinger operators. {III}. {T}he
absolutely continuous spectrum in one dimension},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {90},
year = {1983},
number = {3},
pages = {389--411},
issn = {0010-3616,1432-0916},
mrclass = {34B25 (35P05 47F05 81C10)},
mrnumber = {719297},
mrreviewer = {W.\ O.\ Amrein},
url = {http://projecteuclid.org/euclid.cmp/1103940348}
}
@Article{ deift.tomei.ea:82:inverse,
author = {Deift, P. and Tomei, C. and Trubowitz, E.},
title = {Inverse scattering and the {B}oussinesq equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {35},
year = {1982},
number = {5},
pages = {567--628},
issn = {0010-3640,1097-0312},
mrclass = {35Q20 (58F07 76B15)},
mrnumber = {668408},
mrreviewer = {David\ J.\ Kaup},
doi = {10.1002/cpa.3160350502},
url = {https://doi.org/10.1002/cpa.3160350502}
}
@Article{ deift.trubowitz:79:inverse,
author = {Deift, P. and Trubowitz, E.},
title = {Inverse scattering on the line},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {32},
year = {1979},
number = {2},
pages = {121--251},
issn = {0010-3640},
mrclass = {34B25 (35P25 58F07)},
mrnumber = {512420},
mrreviewer = {R. C. Gilbert},
doi = {10.1002/cpa.3160320202},
url = {https://doi.org/10.1002/cpa.3160320202}
}
@Article{ deift.venakides.ea:94:collisionless,
author = {Deift, P. and Venakides, S. and Zhou, X.},
title = {The collisionless shock region for the long-time behavior
of solutions of the {K}d{V} equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {47},
year = {1994},
number = {2},
pages = {199--206},
issn = {0010-3640,1097-0312},
mrclass = {35Q53 (35B40)},
mrnumber = {1263128},
mrreviewer = {Alexey\ V.\ Samokhin},
doi = {10.1002/cpa.3160470204},
url = {https://doi.org/10.1002/cpa.3160470204}
}
@Article{ deift.venakides.ea:97:new,
author = {Deift, P. and Venakides, S. and Zhou, X.},
title = {New results in small dispersion {K}d{V} by an extension of
the steepest descent method for {R}iemann-{H}ilbert
problems},
journal = {Internat. Math. Res. Notices},
fjournal = {International Mathematics Research Notices},
year = {1997},
number = {6},
pages = {286--299},
issn = {1073-7928,1687-0247},
mrclass = {35Q53},
mrnumber = {1440305},
mrreviewer = {Linghai\ Zhang},
doi = {10.1155/S1073792897000214},
url = {https://doi.org/10.1155/S1073792897000214}
}
@Article{ deift.venakides.ea:98:extension,
author = {Deift, P. and Venakides, S. and Zhou, X.},
title = {An extension of the steepest descent method for
{R}iemann-{H}ilbert problems: the small dispersion limit of
the {K}orteweg-de {V}ries ({K}d{V}) equation},
journal = {Proc. Natl. Acad. Sci. USA},
fjournal = {Proceedings of the National Academy of Sciences of the
United States of America},
volume = {95},
year = {1998},
number = {2},
pages = {450--454},
issn = {0027-8424,1091-6490},
mrclass = {65N15},
mrnumber = {1613151},
doi = {10.1073/pnas.95.2.450},
url = {https://doi.org/10.1073/pnas.95.2.450}
}
@Article{ deift.zhou:02:perturbation,
author = {Deift, Percy and Zhou, Xin},
title = {Perturbation theory for infinite-dimensional integrable
systems on the line. {A} case study},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {188},
year = {2002},
number = {2},
pages = {163--262},
issn = {0001-5962,1871-2509},
mrclass = {37K15 (34A55 34L40 35B20 35Q55)},
mrnumber = {1947893},
mrreviewer = {Piotr\ G.\ Grinevich},
doi = {10.1007/BF02392683},
url = {https://doi.org/10.1007/BF02392683}
}
@InCollection{ deift.zhou:03:long-time,
author = {Deift, Percy and Zhou, Xin},
title = {Long-time asymptotics for solutions of the {NLS} equation
with initial data in a weighted {S}obolev space},
note = {Dedicated to the memory of J\"urgen K. Moser},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {56},
year = {2003},
number = {8},
pages = {1029--1077},
issn = {0010-3640,1097-0312},
mrclass = {35Q55 (35B40 35P25 37K15 37K40)},
mrnumber = {1989226},
mrreviewer = {Olivier\ J.\ Goubet},
doi = {10.1002/cpa.3034},
url = {https://doi.org/10.1002/cpa.3034}
}
@Article{ deift.zhou:92:steepest,
author = {Deift, P. and Zhou, X.},
title = {A steepest descent method for oscillatory
{R}iemann-{H}ilbert problems},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {26},
year = {1992},
number = {1},
pages = {119--123},
issn = {0273-0979,1088-9485},
mrclass = {35Q15 (35B40 35Q53 41A60)},
mrnumber = {1108902},
mrreviewer = {John\ Albert},
doi = {10.1090/S0273-0979-1992-00253-7},
url = {https://doi.org/10.1090/S0273-0979-1992-00253-7}
}
@Article{ deift.zhou:93:steepest,
author = {Deift, P. and Zhou, X.},
title = {A steepest descent method for oscillatory
{R}iemann-{H}ilbert problems. {A}symptotics for the
{MK}d{V} equation},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {137},
year = {1993},
number = {2},
pages = {295--368},
issn = {0003-486X,1939-8980},
mrclass = {35Q53 (34A55 34L25 35Q15 35Q55)},
mrnumber = {1207209},
mrreviewer = {Alexey\ V.\ Samokhin},
doi = {10.2307/2946540},
url = {https://doi.org/10.2307/2946540}
}
@Article{ deift.zhou:94:long-time,
author = {Deift, P. A. and Zhou, X.},
title = {Long-time asymptotics for integrable systems. {H}igher
order theory},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {165},
year = {1994},
number = {1},
pages = {175--191},
issn = {0010-3616,1432-0916},
mrclass = {35Q55 (35B40 35C20 35Q53)},
mrnumber = {1298946},
mrreviewer = {Spyridon\ Kamvissis},
url = {http://projecteuclid.org/euclid.cmp/1104271038}
}
@Article{ deift.zhou:95:asymptotics,
author = {Deift, P. A. and Zhou, X.},
title = {Asymptotics for the {P}ainlev\'{e} {II} equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {48},
year = {1995},
number = {3},
pages = {277--337},
issn = {0010-3640},
mrclass = {34A20 (34A34 34A55 34E05 35Q99)},
mrnumber = {1322812},
mrreviewer = {Alexander Vladimirovich Kitaev},
doi = {10.1002/cpa.3160480304},
url = {https://doi.org/10.1002/cpa.3160480304}
}
@Article{ deift:00:integrable,
author = {Deift, Percy},
title = {Integrable systems and combinatorial theory},
journal = {Notices Amer. Math. Soc.},
fjournal = {Notices of the American Mathematical Society},
volume = {47},
year = {2000},
number = {6},
pages = {631--640},
issn = {0002-9920,1088-9477},
mrclass = {05A16 (34L40 34M55 37K10)},
mrnumber = {1764262},
mrreviewer = {George\ M.\ Rassias}
}
@InCollection{ deift:07:universality,
author = {Deift, Percy},
title = {Universality for mathematical and physical systems},
booktitle = {International {C}ongress of {M}athematicians. {V}ol. {I}},
pages = {125--152},
publisher = {Eur. Math. Soc., Z\"urich},
year = {2007},
isbn = {978-3-03719-022-7},
mrclass = {60C05 (47N30 82B27 82B41 82B44)},
mrnumber = {2334189},
mrreviewer = {Martin\ V.\ Hildebrand},
doi = {10.4171/022-1/7},
url = {https://doi.org/10.4171/022-1/7}
}
@InCollection{ deift:08:some,
author = {Deift, Percy},
title = {Some open problems in random matrix theory and the theory
of integrable systems},
booktitle = {Integrable systems and random matrices},
series = {Contemp. Math.},
volume = {458},
pages = {419--430},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2008},
isbn = {978-0-8218-4240-9},
mrclass = {37K15 (15B52 34M55 35Q53 60F05 60K35 62H25 82B44)},
mrnumber = {2411922},
mrreviewer = {Razvan\ Teodorescu},
doi = {10.1090/conm/458/08951},
url = {https://doi.org/10.1090/conm/458/08951}
}
@Article{ deift:17:some,
author = {Deift, Percy},
title = {Some open problems in random matrix theory and the theory
of integrable systems. {II}},
journal = {SIGMA Symmetry Integrability Geom. Methods Appl.},
fjournal = {SIGMA. Symmetry, Integrability and Geometry. Methods and
Applications},
volume = {13},
year = {2017},
pages = {Paper No. 016, 23},
mrclass = {37K15 (15B52 34M55 35Q53 60F05 60K35 81R12)},
mrnumber = {3622647},
mrreviewer = {Julia B. Prada},
doi = {10.3842/SIGMA.2017.016},
url = {https://doi.org/10.3842/SIGMA.2017.016}
}
@Article{ deift:78:applications,
author = {Deift, P. A.},
title = {Applications of a commutation formula},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {45},
year = {1978},
number = {2},
pages = {267--310},
issn = {0012-7094,1547-7398},
mrclass = {47A10 (34G10 76Q05 78A45 81E05 82A15)},
mrnumber = {495676},
url = {http://projecteuclid.org/euclid.dmj/1077312819}
}
@InCollection{ deift:99:integrable,
author = {Deift, Percy},
title = {Integrable operators},
booktitle = {Differential operators and spectral theory},
series = {Amer. Math. Soc. Transl. Ser. 2},
volume = {189},
pages = {69--84},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1999},
isbn = {0-8218-1387-0},
mrclass = {47G10 (35Q15 45P05 47B35 82-02)},
mrnumber = {1730504},
mrreviewer = {Luen-Chau\ Li},
doi = {10.1090/trans2/189/06},
url = {https://doi.org/10.1090/trans2/189/06}
}
@Book{ deift:99:orthogonal,
author = {Deift, P. A.},
title = {Orthogonal polynomials and random matrices: a
{R}iemann-{H}ilbert approach},
series = {Courant Lecture Notes in Mathematics},
volume = {3},
publisher = {New York University, Courant Institute of Mathematical
Sciences, New York; American Mathematical Society,
Providence, RI},
year = {1999},
pages = {viii+273},
isbn = {0-9658703-2-4; 0-8218-2695-6},
mrclass = {47B80 (15A52 30E25 33D45 37K10 42C05 47B36 60F99)},
mrnumber = {1677884},
mrreviewer = {Alexander Vladimirovich Kitaev}
}
@InCollection{ deijfen.haggstrom:08:pleasures,
author = {Deijfen, Maria and H\"{a}ggstr\"{o}m, Olle},
title = {The pleasures and pains of studying the two-type
{R}ichardson model},
booktitle = {Analysis and stochastics of growth processes and interface
models},
pages = {39--54},
publisher = {Oxford Univ. Press, Oxford},
year = {2008},
mrclass = {60K35 (82C22)},
mrnumber = {2603218},
mrreviewer = {Nicholas S. Witte},
doi = {10.1093/acprof:oso/9780199239252.003.0002},
url = {https://doi.org/10.1093/acprof:oso/9780199239252.003.0002}
}
@Article{ deimling.hetzer.ea:96:almost,
author = {Deimling, Klaus and Hetzer, Georg and Shen, Wen Xian},
title = {Almost periodicity enforced by {C}oulomb friction},
journal = {Adv. Differential Equations},
fjournal = {Advances in Differential Equations},
volume = {1},
year = {1996},
number = {2},
pages = {265--281},
issn = {1079-9389},
mrclass = {34C25 (34A60 70K20 70K30)},
mrnumber = {1364004},
mrreviewer = {Jo\"{e}l\ Blot}
}
@Article{ del-moral.tindel:05:berry-esseen,
author = {Del Moral, Pierre and Tindel, Samy},
title = {A {B}erry-{E}sseen theorem for {F}eynman-{K}ac and
interacting particle models},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {15},
year = {2005},
number = {1B},
pages = {941--962},
issn = {1050-5164},
mrclass = {60K35 (65C35 82C22)},
mrnumber = {2114995},
mrreviewer = {Frederi G. Viens},
doi = {10.1214/105051604000000792},
url = {https://doi.org/10.1214/105051604000000792}
}
@Article{ del-pino.dolbeault:02:best,
author = {Del Pino, Manuel and Dolbeault, Jean},
title = {Best constants for {G}agliardo-{N}irenberg inequalities
and applications to nonlinear diffusions},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {81},
year = {2002},
number = {9},
pages = {847--875},
issn = {0021-7824},
mrclass = {35J20 (35J85 35K57 46E35 49J40)},
mrnumber = {1940370},
mrreviewer = {Siegfried Carl},
doi = {10.1016/S0021-7824(02)01266-7},
url = {https://doi.org/10.1016/S0021-7824(02)01266-7}
}
@Article{ delarue.flandoli.ea:14:noise,
author = {Delarue, Fran\c{c}ois and Flandoli, Franco and Vincenzi,
Dario},
title = {Noise prevents collapse of {V}lasov-{P}oisson point
charges},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {67},
year = {2014},
number = {10},
pages = {1700--1736},
issn = {0010-3640},
mrclass = {60H15 (35Q83 35R60 76W05)},
mrnumber = {3251910},
mrreviewer = {Jan I. Seidler},
doi = {10.1002/cpa.21476},
url = {https://doi.org/10.1002/cpa.21476}
}
@Article{ delarue.flandoli:14:transition,
author = {Delarue, Fran\c{c}ois and Flandoli, Franco},
title = {The transition point in the zero noise limit for a 1{D}
{P}eano example},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {34},
year = {2014},
number = {10},
pages = {4071--4083},
issn = {1078-0947,1553-5231},
mrclass = {60H10 (34A12 34F05 60F99)},
mrnumber = {3195359},
mrreviewer = {Daniel\ C.\ Biles},
doi = {10.3934/dcds.2014.34.4071},
url = {https://doi.org/10.3934/dcds.2014.34.4071}
}
@Article{ delarue.menozzi.ea:15:landau,
author = {Delarue, Fran\c{c}ois and Menozzi, St\'{e}phane and
Nualart, Eulalia},
title = {The {L}andau equation for {M}axwellian molecules and the
{B}rownian motion on {${\rm SO}_N(\Bbb R)$}},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {20},
year = {2015},
pages = {no. 92, 39},
mrclass = {60H30 (60F10 60H10 82C40)},
mrnumber = {3399828},
mrreviewer = {Nicolas Fournier},
doi = {10.1214/EJP.v20-4012},
url = {https://doi.org/10.1214/EJP.v20-4012}
}
@Article{ delgado-vences.nualart.ea:20:central,
author = {Delgado-Vences, Francisco and Nualart, David and Zheng,
Guangqu},
title = {A central limit theorem for the stochastic wave equation
with fractional noise},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {56},
year = {2020},
number = {4},
pages = {3020--3042},
issn = {0246-0203},
mrclass = {60H15 (60F05 60G15 60H07)},
mrnumber = {4164864},
mrreviewer = {Roger Pettersson},
doi = {10.1214/20-AIHP1069},
url = {https://doi.org/10.1214/20-AIHP1069}
}
@Article{ delgado-vences.sanz-sole:14:approximation,
author = {Delgado-Vences, Francisco J. and Sanz-Sol\'{e}, Marta},
title = {Approximation of a stochastic wave equation in dimension
three, with application to a support theorem in
{H}\"{o}lder norm},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {20},
year = {2014},
number = {4},
pages = {2169--2216},
issn = {1350-7265},
mrclass = {60H15 (65M75)},
mrnumber = {3263102},
mrreviewer = {Markus Kunze},
doi = {10.3150/13-BEJ554},
url = {https://doi.org/10.3150/13-BEJ554}
}
@Article{ delgado-vences.sanz-sole:16:approximation,
author = {Delgado-Vences, Francisco J. and Sanz-Sol\'{e}, Marta},
title = {Approximation of a stochastic wave equation in dimension
three, with application to a support theorem in
{H}\"{o}lder norm: the non-stationary case},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {22},
year = {2016},
number = {3},
pages = {1572--1597},
issn = {1350-7265},
mrclass = {60H15 (35L15 35L71 35R60 65M75)},
mrnumber = {3474826},
mrreviewer = {Latifa Debbi},
doi = {10.3150/15-BEJ704},
url = {https://doi.org/10.3150/15-BEJ704}
}
@InCollection{ delgado.sanz-sole:95:fubini,
author = {Delgado, Rosario and Sanz-Sol\'{e}, Marta},
title = {A {F}ubini theorem for generalized {S}tratonovich
integrals},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications ({A}scona, 1993)},
series = {Progr. Probab.},
volume = {36},
pages = {99--110},
publisher = {Birkh\"{a}user, Basel},
year = {1995},
mrclass = {60H05},
mrnumber = {1360269},
mrreviewer = {Denis R. Bell}
}
@Article{ delgado.sanz-sole:95:green,
author = {Delgado, Rosario and Sanz-Sol\'{e}, Marta},
title = {Green formulas in anticipating stochastic calculus},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {57},
year = {1995},
number = {1},
pages = {113--148},
issn = {0304-4149},
mrclass = {60H05 (60G60)},
mrnumber = {1327956},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1016/0304-4149(94)00070-A},
url = {https://doi.org/10.1016/0304-4149(94)00070-A}
}
@Article{ delgado.sanz:92:hu-meyer,
author = {Delgado, Rosario and Sanz, Marta},
title = {The {H}u-{M}eyer formula for nondeterministic kernels},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {38},
year = {1992},
number = {3},
pages = {149--158},
issn = {1045-1129},
mrclass = {60H05},
mrnumber = {1274900},
mrreviewer = {Denis R. Bell},
doi = {10.1080/17442509208833752},
url = {https://doi.org/10.1080/17442509208833752}
}
@Book{ dellacherie.meyer:78:probabilities,
author = {Dellacherie, Claude and Meyer, Paul-Andr\'{e}},
title = {Probabilities and potential},
series = {North-Holland Mathematics Studies},
volume = {29},
publisher = {North-Holland Publishing Co., Amsterdam-New York},
year = {1978},
pages = {viii+189},
isbn = {0-7204-0701-X},
mrclass = {60-02 (28-02 31-02)},
mrnumber = {521810}
}
@Book{ dellacherie.meyer:82:probabilities,
author = {Dellacherie, Claude and Meyer, Paul-Andr\'{e}},
title = {Probabilities and potential. {B}},
series = {North-Holland Mathematics Studies},
volume = {72},
note = {Theory of martingales, Translated from the French by J. P.
Wilson},
publisher = {North-Holland Publishing Co., Amsterdam},
year = {1982},
pages = {xvii+463},
isbn = {0-444-86526-8},
mrclass = {60-02 (31-02 60Gxx 60H05)},
mrnumber = {745449}
}
@InCollection{ delyon.zeitouni:91:lyapunov,
author = {Delyon, Bernard and Zeitouni, Ofer},
title = {Lyapunov exponents for filtering problems},
booktitle = {Applied stochastic analysis ({L}ondon, 1989)},
series = {Stochastics Monogr.},
volume = {5},
pages = {511--521},
publisher = {Gordon and Breach, New York},
year = {1991},
isbn = {2-88124-716-4},
mrclass = {93E11 (93D05)},
mrnumber = {1108433},
mrreviewer = {V.\ N.\ Fomin}
}
@Article{ dembo.gantert.ea:02:large,
author = {Dembo, Amir and Gantert, Nina and Peres, Yuval and
Zeitouni, Ofer},
title = {Large deviations for random walks on {G}alton-{W}atson
trees: averaging and uncertainty},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {122},
year = {2002},
number = {2},
pages = {241--288},
issn = {0178-8051},
mrclass = {60K37 (60F10 60J80 82B41 82B44)},
mrnumber = {1894069},
mrreviewer = {Boualem Djehiche},
doi = {10.1007/s004400100162},
url = {https://doi.org/10.1007/s004400100162}
}
@Article{ dembo.gantert.ea:04:large,
author = {Dembo, Amir and Gantert, Nina and Zeitouni, Ofer},
title = {Large deviations for random walk in random environment
with holding times},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {1B},
pages = {996--1029},
issn = {0091-1798,2168-894X},
mrclass = {60G50 (60F10 60J80 60K37 82C41 82C44)},
mrnumber = {2044672},
mrreviewer = {Fabio\ P.\ Machado},
doi = {10.1214/aop/1079021470},
url = {https://doi.org/10.1214/aop/1079021470}
}
@Article{ dembo.guionnet.ea:03:moderate,
author = {Dembo, A. and Guionnet, A. and Zeitouni, O.},
title = {Moderate deviations for the spectral measure of certain
random matrices},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {39},
year = {2003},
number = {6},
pages = {1013--1042},
issn = {0246-0203},
mrclass = {60F99 (15A42 46L54)},
mrnumber = {2010395},
mrreviewer = {Emmanuel\ C.\ Germain},
doi = {10.1016/S0246-0203(03)00024-4},
url = {https://doi.org/10.1016/S0246-0203(03)00024-4}
}
@Article{ dembo.karlin.ea:94:critical,
author = {Dembo, Amir and Karlin, Samuel and Zeitouni, Ofer},
title = {Critical phenomena for sequence matching with scoring},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {4},
pages = {1993--2021},
issn = {0091-1798,2168-894X},
mrclass = {60F10 (60F15)},
mrnumber = {1331213},
url = {http://links.jstor.org/sici?sici=0091-1798(199410)22:4<1993:CPFSMW>2.0.CO;2-D&origin=MSN}
}
@Article{ dembo.karlin.ea:94:large,
author = {Dembo, Amir and Karlin, Samuel and Zeitouni, Ofer},
title = {Large exceedances for multidimensional {L}\'{e}vy
processes},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {4},
year = {1994},
number = {2},
pages = {432--447},
issn = {1050-5164,2168-8737},
mrclass = {60F10 (60J30)},
mrnumber = {1272734},
mrreviewer = {Karl\ Grill},
url = {http://links.jstor.org/sici?sici=1050-5164(199405)4:2<432:LEFMLP>2.0.CO;2-B&origin=MSN}
}
@Article{ dembo.karlin.ea:94:limit,
author = {Dembo, Amir and Karlin, Samuel and Zeitouni, Ofer},
title = {Limit distribution of maximal non-aligned two-sequence
segmental score},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {4},
pages = {2022--2039},
issn = {0091-1798,2168-894X},
mrclass = {60F10 (60G70)},
mrnumber = {1331214},
url = {http://links.jstor.org/sici?sici=0091-1798(199410)22:4<2022:LDOMNT>2.0.CO;2-B&origin=MSN}
}
@Article{ dembo.lubetzky.ea:21:universality,
author = {Dembo, Amir and Lubetzky, Eyal and Zeitouni, Ofer},
title = {Universality for {L}angevin-like spin glass dynamics},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {31},
year = {2021},
number = {6},
pages = {2864--2880},
issn = {1050-5164,2168-8737},
mrclass = {60K35 (60F10 60H10 82C31 82C44)},
mrnumber = {4350976},
mrreviewer = {Irene\ Crimaldi},
doi = {10.1214/21-aap1665},
url = {https://doi.org/10.1214/21-aap1665}
}
@Article{ dembo.mayer-wolf.ea:95:exact,
author = {Dembo, Amir and Mayer-Wolf, Eddy and Zeitouni, Ofer},
title = {Exact behavior of {G}aussian seminorms},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {23},
year = {1995},
number = {3},
pages = {275--280},
issn = {0167-7152,1879-2103},
mrclass = {60G15 (60F10)},
mrnumber = {1340163},
mrreviewer = {Vadim\ R.\ Fatalov},
doi = {10.1016/0167-7152(94)00125-R},
url = {https://doi.org/10.1016/0167-7152(94)00125-R}
}
@Article{ dembo.peres.ea:00:thick,
author = {Dembo, Amir and Peres, Yuval and Rosen, Jay and Zeitouni,
Ofer},
title = {Thick points for spatial {B}rownian motion: multifractal
analysis of occupation measure},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {1},
pages = {1--35},
issn = {0091-1798,2168-894X},
mrclass = {60J65 (28A78 28A80 60F15 60J55)},
mrnumber = {1755996},
mrreviewer = {Yimin\ Xiao},
doi = {10.1214/aop/1019160110},
url = {https://doi.org/10.1214/aop/1019160110}
}
@Article{ dembo.peres.ea:00:thin,
author = {Dembo, Amir and Peres, Yuval and Rosen, Jay and Zeitouni,
Ofer},
title = {Thin points for {B}rownian motion},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {36},
year = {2000},
number = {6},
pages = {749--774},
issn = {0246-0203},
mrclass = {60J65 (28A80)},
mrnumber = {1797392},
mrreviewer = {Robert\ G.\ Smits},
doi = {10.1016/S0246-0203(00)00139-4},
url = {https://doi.org/10.1016/S0246-0203(00)00139-4}
}
@Article{ dembo.peres.ea:01:thick,
author = {Dembo, Amir and Peres, Yuval and Rosen, Jay and Zeitouni,
Ofer},
title = {Thick points for planar {B}rownian motion and the
{E}rd\H{o}s-{T}aylor conjecture on random walk},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {186},
year = {2001},
number = {2},
pages = {239--270},
issn = {0001-5962,1871-2509},
mrclass = {60G50 (60J65)},
mrnumber = {1846031},
mrreviewer = {I.\ Cuculescu},
doi = {10.1007/BF02401841},
url = {https://doi.org/10.1007/BF02401841}
}
@Article{ dembo.peres.ea:02:thick,
author = {Dembo, Amir and Peres, Yuval and Rosen, Jay and Zeitouni,
Ofer},
title = {Thick points for intersections of planar sample paths},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {354},
year = {2002},
number = {12},
pages = {4969--5003},
issn = {0002-9947,1088-6850},
mrclass = {60J55 (28A80 60G50 60J65)},
mrnumber = {1926845},
mrreviewer = {Patrick\ Fitzsimmons},
doi = {10.1090/S0002-9947-02-03080-5},
url = {https://doi.org/10.1090/S0002-9947-02-03080-5}
}
@Article{ dembo.peres.ea:04:cover,
author = {Dembo, Amir and Peres, Yuval and Rosen, Jay and Zeitouni,
Ofer},
title = {Cover times for {B}rownian motion and random walks in two
dimensions},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {160},
year = {2004},
number = {2},
pages = {433--464},
issn = {0003-486X,1939-8980},
mrclass = {60J65 (60G50)},
mrnumber = {2123929},
mrreviewer = {M.\ G.\ Shur},
doi = {10.4007/annals.2004.160.433},
url = {https://doi.org/10.4007/annals.2004.160.433}
}
@Article{ dembo.peres.ea:06:late,
author = {Dembo, Amir and Peres, Yuval and Rosen, Jay and Zeitouni,
Ofer},
title = {Late points for random walks in two dimensions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {1},
pages = {219--263},
issn = {0091-1798,2168-894X},
mrclass = {60G50 (28A80 82C41)},
mrnumber = {2206347},
mrreviewer = {M.\ G.\ Shur},
doi = {10.1214/009117905000000387},
url = {https://doi.org/10.1214/009117905000000387}
}
@Article{ dembo.peres.ea:96:tail,
author = {Dembo, Amir and Peres, Yuval and Zeitouni, Ofer},
title = {Tail estimates for one-dimensional random walk in random
environment},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {181},
year = {1996},
number = {3},
pages = {667--683},
issn = {0010-3616,1432-0916},
mrclass = {60J15 (60J10)},
mrnumber = {1414305},
mrreviewer = {Kiyoshi\ Kawazu},
url = {http://projecteuclid.org/euclid.cmp/1104287907}
}
@Article{ dembo.peres.ea:99:thick,
author = {Dembo, Amir and Peres, Yuval and Rosen, Jay and Zeitouni,
Ofer},
title = {Thick points for transient symmetric stable processes},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {4},
year = {1999},
pages = {no. 10, 13},
issn = {1083-6489},
mrclass = {60J55 (60G52)},
mrnumber = {1690314},
mrreviewer = {Larbi\ Alili},
doi = {10.1214/EJP.v4-47},
url = {https://doi.org/10.1214/EJP.v4-47}
}
@Article{ dembo.poonen.ea:02:random,
author = {Dembo, Amir and Poonen, Bjorn and Shao, Qi-Man and
Zeitouni, Ofer},
title = {Random polynomials having few or no real zeros},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {15},
year = {2002},
number = {4},
pages = {857--892},
issn = {0894-0347,1088-6834},
mrclass = {60G99 (12D10)},
mrnumber = {1915821},
mrreviewer = {V.\ Thangaraj},
doi = {10.1090/S0894-0347-02-00386-7},
url = {https://doi.org/10.1090/S0894-0347-02-00386-7}
}
@Article{ dembo.rosen.ea:21:limit,
author = {Dembo, Amir and Rosen, Jay and Zeitouni, Ofer},
title = {Limit law for the cover time of a random walk on a binary
tree},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {57},
year = {2021},
number = {2},
pages = {830--855},
issn = {0246-0203,1778-7017},
mrclass = {60J80 (60G50 60J85)},
mrnumber = {4260486},
mrreviewer = {Gerold\ Alsmeyer},
doi = {10.1214/20-aihp1098},
url = {https://doi.org/10.1214/20-aihp1098}
}
@Article{ dembo.shkolnikov.ea:16:large,
author = {Dembo, Amir and Shkolnikov, Mykhaylo and Varadhan, S. R.
Srinivasa and Zeitouni, Ofer},
title = {Large deviations for diffusions interacting through their
ranks},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {69},
year = {2016},
number = {7},
pages = {1259--1313},
issn = {0010-3640,1097-0312},
mrclass = {60F10 (60J60 60K35)},
mrnumber = {3503022},
mrreviewer = {Markus\ Fischer},
doi = {10.1002/cpa.21640},
url = {https://doi.org/10.1002/cpa.21640}
}
@Article{ dembo.tsai:16:weakly,
author = {Dembo, Amir and Tsai, Li-Cheng},
title = {Weakly asymmetric non-simple exclusion process and the
{K}ardar-{P}arisi-{Z}hang equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {341},
year = {2016},
number = {1},
pages = {219--261},
issn = {0010-3616},
mrclass = {60K35 (60F17 60H15)},
mrnumber = {3439226},
mrreviewer = {Mathew Joseph},
doi = {10.1007/s00220-015-2527-1},
url = {https://doi.org/10.1007/s00220-015-2527-1}
}
@Article{ dembo.tsai:17:equilibrium,
author = {Dembo, Amir and Tsai, Li-Cheng},
title = {Equilibrium fluctuation of the {A}tlas model},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {6B},
pages = {4529--4560},
issn = {0091-1798},
mrclass = {60K35 (60H15 82C22)},
mrnumber = {3737917},
mrreviewer = {Massimo Campanino},
doi = {10.1214/16-AOP1171},
url = {https://doi.org/10.1214/16-AOP1171}
}
@Article{ dembo.tsai:19:criticality,
author = {Dembo, Amir and Tsai, Li-Cheng},
title = {Criticality of a randomly-driven front},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {233},
year = {2019},
number = {2},
pages = {643--699},
issn = {0003-9527},
mrclass = {82C41 (35R35 60F17 60G50 60K35 80A22)},
mrnumber = {3951690},
doi = {10.1007/s00205-019-01365-w},
url = {https://doi.org/10.1007/s00205-019-01365-w}
}
@Article{ dembo.vershik.ea:00:large,
author = {Dembo, A. and Vershik, A. and Zeitouni, O.},
title = {Large deviations for integer partitions},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {6},
year = {2000},
number = {2},
pages = {147--179},
issn = {1024-2953},
mrclass = {11K99 (05A17 60F10)},
mrnumber = {1778750}
}
@InCollection{ dembo.zeitouni:02:large,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Large deviations and applications},
booktitle = {Handbook of stochastic analysis and applications},
series = {Statist. Textbooks Monogr.},
volume = {163},
pages = {361--416},
publisher = {Dekker, New York},
year = {2002},
isbn = {0-8247-0660-9},
mrclass = {60F10 (60G50 60J60 60J65)},
mrnumber = {1882715}
}
@Book{ dembo.zeitouni:10:large,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Large deviations techniques and applications},
series = {Stochastic Modelling and Applied Probability},
volume = {38},
note = {Corrected reprint of the second (1998) edition},
publisher = {Springer-Verlag, Berlin},
year = {2010},
pages = {xvi+396},
isbn = {978-3-642-03310-0},
mrclass = {60F10},
mrnumber = {2571413},
doi = {10.1007/978-3-642-03311-7},
url = {https://doi.org/10.1007/978-3-642-03311-7}
}
@Article{ dembo.zeitouni:15:matrix,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Matrix optimization under random external fields},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {159},
year = {2015},
number = {6},
pages = {1306--1326},
issn = {0022-4715,1572-9613},
mrclass = {60F10 (82D30)},
mrnumber = {3350373},
mrreviewer = {Wenxin\ Zhou},
doi = {10.1007/s10955-015-1228-7},
url = {https://doi.org/10.1007/s10955-015-1228-7}
}
@Article{ dembo.zeitouni:86:parameter,
author = {Dembo, A. and Zeitouni, O.},
title = {Parameter estimation of partially observed continuous time
stochastic processes via the {EM} algorithm},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {23},
year = {1986},
number = {1},
pages = {91--113},
issn = {0304-4149,1879-209X},
mrclass = {93E10 (62M05 93E14)},
mrnumber = {866289},
mrreviewer = {Richard\ M.\ Hawkes},
doi = {10.1016/0304-4149(86)90018-9},
url = {https://doi.org/10.1016/0304-4149(86)90018-9}
}
@Article{ dembo.zeitouni:88:general,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {General potential surfaces and neural networks},
journal = {Phys. Rev. A (3)},
fjournal = {Physical Review. A. Third Series},
volume = {37},
year = {1988},
number = {6},
pages = {2134--2143},
issn = {1050-2947,1094-1622},
mrclass = {92A09 (82A99)},
mrnumber = {932921},
doi = {10.1103/PhysRevA.37.2134},
url = {https://doi.org/10.1103/PhysRevA.37.2134}
}
@Article{ dembo.zeitouni:89:corrigendum,
author = {Dembo, A. and Zeitouni, O.},
title = {Corrigendum: ``{P}arameter estimation of partially
observed continuous time stochastic processes via the {EM}
algorithm'' [{S}tochastic {P}rocess. {A}ppl. {\bf 23}
(1986), no. 1, 91--113; {MR}0866289 (88h:93068)]},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {31},
year = {1989},
number = {1},
pages = {167--169},
issn = {0304-4149,1879-209X},
mrclass = {93E10 (62M05 93E14)},
mrnumber = {996619},
doi = {10.1016/0304-4149(89)90110-5},
url = {https://doi.org/10.1016/0304-4149(89)90110-5}
}
@InCollection{ dembo.zeitouni:89:on,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {On the relation of anticipative {S}tratonovich and
symmetric integrals: a decomposition formula},
booktitle = {Stochastic partial differential equations and
applications, {II} ({T}rento, 1988)},
series = {Lecture Notes in Math.},
volume = {1390},
pages = {66--76},
publisher = {Springer, Berlin},
year = {1989},
isbn = {3-540-51510-0},
mrclass = {60H05},
mrnumber = {1019594},
mrreviewer = {David\ Nualart},
doi = {10.1007/BFb0083937},
url = {https://doi.org/10.1007/BFb0083937}
}
@Article{ dembo.zeitouni:90:maximum,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Maximum a posteriori estimation of elliptic {G}aussian
fields observed via a noisy nonlinear channel},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {35},
year = {1990},
number = {2},
pages = {151--167},
issn = {0047-259X,1095-7243},
mrclass = {60H15 (60G60 93E11)},
mrnumber = {1079665},
mrreviewer = {M.\ Zakai},
doi = {10.1016/0047-259X(90)90022-A},
url = {https://doi.org/10.1016/0047-259X(90)90022-A}
}
@Article{ dembo.zeitouni:91:onsager-machlup,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Onsager-{M}achlup functionals and maximum a posteriori
estimation for a class of non-{G}aussian random fields},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {36},
year = {1991},
number = {2},
pages = {243--262},
issn = {0047-259X,1095-7243},
mrclass = {60H15 (60G60)},
mrnumber = {1096669},
mrreviewer = {Marta\ Sanz Sol\'{e}},
doi = {10.1016/0047-259X(91)90060-F},
url = {https://doi.org/10.1016/0047-259X(91)90060-F}
}
@Article{ dembo.zeitouni:92:erratum,
author = {Dembo, A. and Zeitouni, O.},
title = {Erratum: ``{P}arameter estimation of partially observed
continuous time stochastic processes via the {EM}
algorithm'' [{S}tochastic {P}rocess. {A}ppl. {\bf 23}
(1986), no. 1, 91--113; {MR}0866289 (88h:93068)]},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {40},
year = {1992},
number = {2},
pages = {359--361},
issn = {0304-4149,1879-209X},
mrclass = {93E10 (62F10 62M09 93E14)},
mrnumber = {1158031},
mrreviewer = {Richard\ M.\ Hawkes},
doi = {10.1016/0304-4149(92)90019-M},
url = {https://doi.org/10.1016/0304-4149(92)90019-M}
}
@Book{ dembo.zeitouni:93:large,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Large deviations techniques and applications},
publisher = {Jones and Bartlett Publishers, Boston, MA},
year = {1993},
pages = {xiv+346},
isbn = {0-86720-291-2},
mrclass = {60F10},
mrnumber = {1202429},
mrreviewer = {Paolo\ Baldi}
}
@Article{ dembo.zeitouni:94:large,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {A large deviations analysis of range tracking loops},
journal = {IEEE Trans. Automat. Control},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Automatic Control},
volume = {39},
year = {1994},
number = {2},
pages = {360--364},
issn = {0018-9286,1558-2523},
mrclass = {93B55},
mrnumber = {1265421},
doi = {10.1109/9.272334},
url = {https://doi.org/10.1109/9.272334}
}
@InCollection{ dembo.zeitouni:95:large,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Large deviations via parameter dependent change of
measure, and an application to the lower tail of {G}aussian
processes},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications ({A}scona, 1993)},
series = {Progr. Probab.},
volume = {36},
pages = {111--121},
publisher = {Birkh\"{a}user, Basel},
year = {1995},
isbn = {3-7643-5241-8},
mrclass = {60F10 (60G15 60J65)},
mrnumber = {1360270},
mrreviewer = {Vadim\ R.\ Fatalov}
}
@Article{ dembo.zeitouni:96:large,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Large deviations for subsampling from individual
sequences},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {27},
year = {1996},
number = {3},
pages = {201--205},
issn = {0167-7152,1879-2103},
mrclass = {60F10},
mrnumber = {1395567},
mrreviewer = {Tim\ Zajic},
doi = {10.1016/0167-7152(95)00065-8},
url = {https://doi.org/10.1016/0167-7152(95)00065-8}
}
@InCollection{ dembo.zeitouni:96:large*1,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Large deviations for random distribution of mass},
booktitle = {Random discrete structures ({M}inneapolis, {MN}, 1993)},
series = {IMA Vol. Math. Appl.},
volume = {76},
pages = {45--53},
publisher = {Springer, New York},
year = {1996},
isbn = {0-387-94623-3},
mrclass = {60F10 (60C05)},
mrnumber = {1395607},
mrreviewer = {David\ J.\ Aldous},
doi = {10.1007/978-1-4612-0719-1\_4},
url = {https://doi.org/10.1007/978-1-4612-0719-1_4}
}
@Article{ dembo.zeitouni:96:refinements,
author = {Dembo, A. and Zeitouni, O.},
title = {Refinements of the {G}ibbs conditioning principle},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {104},
year = {1996},
number = {1},
pages = {1--14},
issn = {0178-8051,1432-2064},
mrclass = {60F10},
mrnumber = {1367663},
mrreviewer = {Fabienne\ Castell},
doi = {10.1007/BF01303799},
url = {https://doi.org/10.1007/BF01303799}
}
@Article{ dembo.zeitouni:96:transportation,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Transportation approach to some concentration inequalities
in product spaces},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {1},
year = {1996},
pages = {no. 9, 83--90},
issn = {1083-589X},
mrclass = {60E15 (28A35)},
mrnumber = {1423908},
mrreviewer = {Iosif\ Pinelis},
doi = {10.1214/ECP.v1-979},
url = {https://doi.org/10.1214/ECP.v1-979}
}
@InCollection{ dembo.zeitouni:97:moderate,
author = {Dembo, A. and Zeitouni, O.},
title = {Moderate deviations for iterates of expanding maps},
booktitle = {Statistics and control of stochastic processes ({M}oscow,
1995/1996)},
pages = {1--11},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1997},
isbn = {981-02-3292-6},
mrclass = {60F10 (28D05 60G10)},
mrnumber = {1647246},
mrreviewer = {Alexander\ Veretennikov}
}
@Book{ dembo.zeitouni:98:large,
author = {Dembo, Amir and Zeitouni, Ofer},
title = {Large deviations techniques and applications},
series = {Applications of Mathematics (New York)},
volume = {38},
edition = {Second},
publisher = {Springer-Verlag, New York},
year = {1998},
pages = {xvi+396},
isbn = {0-387-98406-2},
mrclass = {60F10},
mrnumber = {1619036},
doi = {10.1007/978-1-4612-5320-4},
url = {https://doi.org/10.1007/978-1-4612-5320-4}
}
@Article{ dembo:97:information,
author = {Dembo, Amir},
title = {Information inequalities and concentration of measure},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {25},
year = {1997},
number = {2},
pages = {927--939},
issn = {0091-1798},
mrclass = {60E15 (28A35)},
mrnumber = {1434131},
mrreviewer = {Iosif Pinelis},
doi = {10.1214/aop/1024404424},
url = {https://doi.org/10.1214/aop/1024404424}
}
@Article{ deng.nahmod.ea:21:invariant,
author = {Deng, Yu and Nahmod, Andrea R. and Yue, Haitian},
title = {Invariant {G}ibbs measure and global strong solutions for
the {H}artree {NLS} equation in dimension three},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {62},
year = {2021},
number = {3},
pages = {Paper No. 031514, 39},
issn = {0022-2488},
mrclass = {35Q55 (81T08)},
mrnumber = {4236191},
doi = {10.1063/5.0045062},
url = {https://doi.org/10.1063/5.0045062}
}
@Article{ deng.nahmod.ea:22:random,
author = {Deng, Yu and Nahmod, Andrea R. and Yue, Haitian},
title = {Random tensors, propagation of randomness, and nonlinear
dispersive equations},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {228},
year = {2022},
number = {2},
pages = {539--686},
issn = {0020-9910},
mrclass = {35Q60 (15A69 15B52 37E20 60H30)},
mrnumber = {4411729},
doi = {10.1007/s00222-021-01084-8},
url = {https://doi.org/10.1007/s00222-021-01084-8}
}
@Article{ deng.tzvetkov.ea:15:invariant,
author = {Deng, Yu and Tzvetkov, Nikolay and Visciglia, Nicola},
title = {Invariant measures and long time behaviour for the
{B}enjamin-{O}no equation {III}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {339},
year = {2015},
number = {3},
pages = {815--857},
issn = {0010-3616},
mrclass = {37L40 (35B40 35Q53)},
mrnumber = {3385985},
mrreviewer = {Daniel \v{S}ev\v{c}ovi\v{c}},
doi = {10.1007/s00220-015-2431-8},
url = {https://doi.org/10.1007/s00220-015-2431-8}
}
@Article{ deng:15:invariance,
author = {Deng, Yu},
title = {Invariance of the {G}ibbs measure for the {B}enjamin-{O}no
equation},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {17},
year = {2015},
number = {5},
pages = {1107--1198},
issn = {1435-9855},
mrclass = {37L40 (35B35 35Q53 37K05 37K10)},
mrnumber = {3346690},
mrreviewer = {Naoyuki Ishimura},
doi = {10.4171/JEMS/528},
url = {https://doi.org/10.4171/JEMS/528}
}
@Article{ denis.matoussi.ea:05:lp,
author = {Denis, Laurent and Matoussi, Anis and Stoica, Lucretiu},
title = {{$L^p$} estimates for the uniform norm of solutions of
quasilinear {SPDE}'s},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {133},
year = {2005},
number = {4},
pages = {437--463},
issn = {0178-8051},
mrclass = {60H15 (35B45 35R60 60G46)},
mrnumber = {2197109},
mrreviewer = {Benjamin Berg\'{e}},
doi = {10.1007/s00440-005-0436-5},
url = {https://doi.org/10.1007/s00440-005-0436-5}
}
@Article{ denis.stoica:04:general,
author = {Denis, Laurent and Stoica, L.},
title = {A general analytical result for non-linear {SPDE}'s and
applications},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {9},
year = {2004},
pages = {no. 23, 674--709},
issn = {1083-6489},
mrclass = {60H15 (35R60 60G46)},
mrnumber = {2110016},
mrreviewer = {Yoichi \^{O}shima},
doi = {10.1214/EJP.v9-223},
url = {https://doi.org/10.1214/EJP.v9-223}
}
@Article{ denk.hieber.ea:03:r-boundedness,
author = {Denk, Robert and Hieber, Matthias and Pr\"{u}ss, Jan},
title = {{$\scr R$}-boundedness, {F}ourier multipliers and problems
of elliptic and parabolic type},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {166},
year = {2003},
number = {788},
pages = {viii+114},
issn = {0065-9266},
mrclass = {35-02 (35J30 35K25 42B15)},
mrnumber = {2006641},
mrreviewer = {Alain Brillard},
doi = {10.1090/memo/0788},
url = {https://doi.org/10.1090/memo/0788}
}
@Article{ deo:02:glassy,
author = {Deo, N.},
title = {Glassy random matrix models},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {65},
year = {2002},
number = {5},
pages = {056115, 10},
issn = {1539-3755},
mrclass = {82D30 (82C44)},
mrnumber = {1920071},
doi = {10.1103/PhysRevE.65.056115},
url = {https://doi.org/10.1103/PhysRevE.65.056115}
}
@InCollection{ derrida.aitchison.ea:89:elizabeth,
author = {Derrida, B. and Aitchison, I. J. R. and Wallace, D. J.},
title = {Elizabeth {J}ane {G}ardner},
note = {Special issue in memory of Elizabeth Gardner, 1957--1988},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {22},
year = {1989},
number = {12},
pages = {1955--1958},
issn = {0305-4470,1751-8121},
mrclass = {01A70},
mrnumber = {1004902},
doi = {10.1088/0305-4470/22/12/012},
url = {https://doi.org/10.1088/0305-4470/22/12/012}
}
@Article{ derrida.appert:99:universal,
author = {Derrida, B. and Appert, C.},
title = {Universal large-deviation function of the
{K}ardar-{P}arisi-{Z}hang equation in one dimension},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {94},
year = {1999},
number = {1-2},
pages = {1--30},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60F10 82C24)},
mrnumber = {1679690},
mrreviewer = {Filippo\ Cesi},
doi = {10.1023/A:1004519626804},
url = {https://doi.org/10.1023/A:1004519626804}
}
@Article{ derrida.bray.ea:94:nontrivial,
author = {Derrida, B. and Bray, A. J. and Godr\`eche, C.},
title = {Nontrivial exponents in the zero temperature dynamics of
the {$1$}D {I}sing and {P}otts models},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {27},
year = {1994},
number = {11},
pages = {L357--L361},
issn = {0305-4470,1751-8121},
mrclass = {82B20 (82-04 82B27)},
mrnumber = {1282568},
url = {http://stacks.iop.org/0305-4470/27/L357}
}
@Article{ derrida.domany.ea:92:exact,
author = {Derrida, B. and Domany, E. and Mukamel, D.},
title = {An exact solution of a one-dimensional asymmetric
exclusion model with open boundaries},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {69},
year = {1992},
number = {3-4},
pages = {667--687},
issn = {0022-4715,1572-9613},
mrclass = {60K35 (82C22)},
mrnumber = {1193854},
mrreviewer = {T.\ M.\ Liggett},
doi = {10.1007/BF01050430},
url = {https://doi.org/10.1007/BF01050430}
}
@Article{ derrida.dou-cot.ea:04:current,
author = {Derrida, B. and Dou\c cot, B. and Roche, P.-E.},
title = {Current fluctuations in the one-dimensional symmetric
exclusion process with open boundaries},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {115},
year = {2004},
number = {3-4},
pages = {717--748},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60K35)},
mrnumber = {2054160},
mrreviewer = {Ellen\ Saada},
doi = {10.1023/B:JOSS.0000022379.95508.b2},
url = {https://doi.org/10.1023/B:JOSS.0000022379.95508.b2}
}
@Article{ derrida.enaud.ea:04:asymmetric,
author = {Derrida, B. and Enaud, C. and Lebowitz, J. L.},
title = {The asymmetric exclusion process and {B}rownian
excursions},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {115},
year = {2004},
number = {1-2},
pages = {365--382},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60K35)},
mrnumber = {2070099},
mrreviewer = {Ellen\ Saada},
doi = {10.1023/B:JOSS.0000019833.35328.b4},
url = {https://doi.org/10.1023/B:JOSS.0000019833.35328.b4}
}
@Article{ derrida.enaud.ea:05:fluctuations,
author = {Derrida, B. and Enaud, C. and Landim, C. and Olla, S.},
title = {Fluctuations in the weakly asymmetric exclusion process
with open boundary conditions},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {118},
year = {2005},
number = {5-6},
pages = {795--811},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60K35)},
mrnumber = {2130640},
mrreviewer = {Marina\ Vachkovskaia},
doi = {10.1007/s10955-004-1989-x},
url = {https://doi.org/10.1007/s10955-004-1989-x}
}
@Article{ derrida.evans.ea:93:exact,
author = {Derrida, B. and Evans, M. R. and Mukamel, D.},
title = {Exact diffusion constant for one-dimensional asymmetric
exclusion models},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {26},
year = {1993},
number = {19},
pages = {4911--4918},
issn = {0305-4470,1751-8121},
mrclass = {82C20 (82C41)},
mrnumber = {1247838},
url = {http://stacks.iop.org/0305-4470/26/4911}
}
@Article{ derrida.evans.ea:93:exact*1,
author = {Derrida, B. and Evans, M. R. and Hakim, V. and Pasquier,
V.},
title = {Exact solution of a {$1$}D asymmetric exclusion model
using a matrix formulation},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {26},
year = {1993},
number = {7},
pages = {1493--1517},
issn = {0305-4470,1751-8121},
mrclass = {60K35 (82C20)},
mrnumber = {1219679},
mrreviewer = {Pablo\ A.\ Ferrari},
url = {http://stacks.iop.org/0305-4470/26/1493}
}
@Article{ derrida.evans.ea:93:mean,
author = {Derrida, B. and Evans, M. R. and Speer, E. R.},
title = {Mean field theory of directed polymers with random complex
weights},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {156},
year = {1993},
number = {2},
pages = {221--244},
issn = {0010-3616,1432-0916},
mrclass = {82B44 (60K35 82D30 82D60)},
mrnumber = {1233845},
mrreviewer = {Aernout\ C. D. van Enter},
url = {http://projecteuclid.org/euclid.cmp/1104253626}
}
@Article{ derrida.evans.ea:95:exact,
author = {Derrida, B. and Evans, M. R. and Mallick, K.},
title = {Exact diffusion constant of a one-dimensional asymmetric
exclusion model with open boundaries},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {79},
year = {1995},
number = {5-6},
pages = {833--874},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60K35 82C23)},
mrnumber = {1330365},
mrreviewer = {Luiz\ R. G. Fontes},
doi = {10.1007/BF02181206},
url = {https://doi.org/10.1007/BF02181206}
}
@Article{ derrida.evans:93:exact,
author = {Derrida, B. and Evans, M. R.},
title = {Exact correlation functions in an asymmetric exclusion
model with open boundaries},
journal = {J. Physique I},
fjournal = {Journal de Physique. I. Physique G\'en\'erale, Physique
Statistique, Mati\`ere Condens\'ee, Domaines
Interdisciplinaires},
volume = {3},
year = {1993},
number = {2},
pages = {311--322},
issn = {1155-4304},
mrclass = {82C20},
mrnumber = {1215845},
mrreviewer = {Flora\ Koukiou},
doi = {10.1051/jp1:1993132},
url = {https://doi.org/10.1051/jp1:1993132}
}
@InCollection{ derrida.evans:94:exact,
author = {Derrida, B. and Evans, M. R.},
title = {Exact steady state properties of the one-dimensional
asymmetric exclusion model},
booktitle = {Probability and phase transition ({C}ambridge, 1993)},
series = {NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci.},
volume = {420},
pages = {1--16},
publisher = {Kluwer Acad. Publ., Dordrecht},
year = {1994},
isbn = {0-7923-2720-9},
mrclass = {60K35 (82-02 82C22)},
mrnumber = {1283172}
}
@InCollection{ derrida.evans:97:asymmetric,
author = {Derrida, Bernard and Evans, Martin R.},
title = {The asymmetric exclusion model: exact results through a
matrix approach},
booktitle = {Nonequilibrium statistical mechanics in one dimension},
pages = {277--304},
publisher = {Cambridge Univ. Press, Cambridge},
year = {1997},
isbn = {0-521-55974-X},
mrclass = {82B41},
mrnumber = {1465692},
doi = {10.1017/CBO9780511564284.020},
url = {https://doi.org/10.1017/CBO9780511564284.020}
}
@Article{ derrida.evans:99:bethe,
author = {Derrida, B. and Evans, M. R.},
title = {Bethe ansatz solution for a defect particle in the
asymmetric exclusion process},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {32},
year = {1999},
number = {26},
pages = {4833--4850},
issn = {0305-4470,1751-8121},
mrclass = {82C20 (82C23 82C31 90B06)},
mrnumber = {1718799},
doi = {10.1088/0305-4470/32/26/303},
url = {https://doi.org/10.1088/0305-4470/32/26/303}
}
@Article{ derrida.flyvbjerg:87:random,
author = {Derrida, B. and Flyvbjerg, H.},
title = {The random map model: a disordered model with
deterministic dynamics},
journal = {J. Physique},
fjournal = {Le Journal de Physique},
volume = {48},
year = {1987},
number = {6},
pages = {971--978},
issn = {0302-0738},
mrclass = {82A42 (58F08 58F12 82A57)},
mrnumber = {900557},
doi = {10.1051/jphys:01987004806097100},
url = {https://doi.org/10.1051/jphys:01987004806097100}
}
@Article{ derrida.flyvbjerg:87:statistical,
author = {Derrida, B. and Flyvbjerg, H.},
title = {Statistical properties of randomly broken objects and of
multivalley structures in disordered systems},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {20},
year = {1987},
number = {15},
pages = {5273--5288},
issn = {0305-4470,1751-8121},
mrclass = {82A57},
mrnumber = {914705},
mrreviewer = {A.\ Comtet},
url = {http://stacks.iop.org/0305-4470/20/5273}
}
@Article{ derrida.gardner:84:lyapounov,
author = {Derrida, B. and Gardner, E.},
title = {Lyapounov exponent of the one-dimensional {A}nderson
model: weak disorder expansions},
journal = {J. Physique},
fjournal = {Le Journal de Physique},
volume = {45},
year = {1984},
number = {8},
pages = {1283--1295},
issn = {0302-0738},
mrclass = {82A57 (81C05)},
mrnumber = {763431},
doi = {10.1051/jphys:019840045080128300},
url = {https://doi.org/10.1051/jphys:019840045080128300}
}
@Article{ derrida.gardner:84:renormalisation,
author = {Derrida, B. and Gardner, E.},
title = {Renormalisation group study of a disordered model},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {17},
year = {1984},
number = {16},
pages = {3223--3236},
issn = {0305-4470,1751-8121},
mrclass = {82A57 (82A25)},
mrnumber = {772152},
url = {http://stacks.iop.org/0305-4470/17/3223}
}
@Article{ derrida.gerschenfeld:09:current,
author = {Derrida, Bernard and Gerschenfeld, Antoine},
title = {Current fluctuations of the one dimensional symmetric
simple exclusion process with step initial condition},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {136},
year = {2009},
number = {1},
pages = {1--15},
issn = {0022-4715,1572-9613},
mrclass = {82C21 (82C31)},
mrnumber = {2525223},
mrreviewer = {Peter\ Eichelsbacher},
doi = {10.1007/s10955-009-9772-7},
url = {https://doi.org/10.1007/s10955-009-9772-7}
}
@Article{ derrida.gerschenfeld:09:current*1,
author = {Derrida, Bernard and Gerschenfeld, Antoine},
title = {Current fluctuations in one dimensional diffusive systems
with a step initial density profile},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {137},
year = {2009},
number = {5-6},
pages = {978--1000},
issn = {0022-4715,1572-9613},
mrclass = {82C05 (60F10 82C70)},
mrnumber = {2570758},
mrreviewer = {Enza\ Orlandi},
doi = {10.1007/s10955-009-9830-1},
url = {https://doi.org/10.1007/s10955-009-9830-1}
}
@Article{ derrida.gervois.ea:78:iteration,
author = {Derrida, B. and Gervois, A. and Pomeau, Y.},
title = {Iteration of endomorphisms on the real axis and
representation of numbers},
journal = {Ann. Inst. H. Poincar\'e{} Sect. A (N.S.)},
fjournal = {Annales de l'Institut Henri Poincar\'e. Section A.
Physique Th\'eorique. Nouvelle S\'erie},
volume = {29},
year = {1978},
number = {3},
pages = {305--356},
issn = {0246-0211},
mrclass = {10K10 (28D20 58F13)},
mrnumber = {519698},
mrreviewer = {G\'erard\ Rauzy}
}
@Article{ derrida.giacomin.ea:09:fractional,
author = {Derrida, Bernard and Giacomin, Giambattista and Lacoin,
Hubert and Toninelli, Fabio Lucio},
title = {Fractional moment bounds and disorder relevance for
pinning models},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {287},
year = {2009},
number = {3},
pages = {867--887},
issn = {0010-3616,1432-0916},
mrclass = {82B44 (60K05 60K37)},
mrnumber = {2486665},
mrreviewer = {Rongfeng\ Sun},
doi = {10.1007/s00220-009-0737-0},
url = {https://doi.org/10.1007/s00220-009-0737-0}
}
@Article{ derrida.hakim.ea:92:effect,
author = {Derrida, B. and Hakim, V. and Vannimenus, J.},
title = {Effect of disorder on two-dimensional wetting},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {66},
year = {1992},
number = {5-6},
pages = {1189--1213},
issn = {0022-4715,1572-9613},
mrclass = {82B24},
mrnumber = {1156401},
mrreviewer = {Klaus\ Ziegler},
doi = {10.1007/BF01054419},
url = {https://doi.org/10.1007/BF01054419}
}
@Article{ derrida.hakim.ea:96:exact,
author = {Derrida, Bernard and Hakim, Vincent and Pasquier,
Vincent},
title = {Exact exponent for the number of persistent spins in the
zero-temperature dynamics of the one-dimensional {P}otts
model},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {85},
year = {1996},
number = {5-6},
pages = {763--797},
issn = {0022-4715,1572-9613},
mrclass = {82B20},
mrnumber = {1418811},
mrreviewer = {Miroslav\ Koles\'ik},
doi = {10.1007/BF02199362},
url = {https://doi.org/10.1007/BF02199362}
}
@Article{ derrida.herrmann:83:collapse,
author = {Derrida, B. and Herrmann, H. J.},
title = {Collapse of branched polymers},
journal = {J. Physique},
fjournal = {Le Journal de Physique},
volume = {44},
year = {1983},
number = {12},
pages = {1365--1376},
issn = {0302-0738},
mrclass = {82A51},
mrnumber = {730167},
doi = {10.1051/jphys:0198300440120136500},
url = {https://doi.org/10.1051/jphys:0198300440120136500}
}
@Article{ derrida.higgs:94:low-temperature,
author = {Derrida, B. and Higgs, P. G.},
title = {Low-temperature properties of directed walks with random
self-interactions},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {27},
year = {1994},
number = {16},
pages = {5485--5493},
issn = {0305-4470,1751-8121},
mrclass = {82B41},
mrnumber = {1295374},
url = {http://stacks.iop.org/0305-4470/27/5485}
}
@Article{ derrida.hilhorst:83:singular,
author = {Derrida, B. and Hilhorst, H. J.},
title = {Singular behaviour of certain infinite products of random
{$2\times 2$}\ matrices},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {16},
year = {1983},
number = {12},
pages = {2641--2654},
issn = {0305-4470,1751-8121},
mrclass = {82A05 (60K35 82A57 82A68)},
mrnumber = {715727},
mrreviewer = {A.\ Pandey},
url = {http://stacks.iop.org/0305-4470/16/2641}
}
@Article{ derrida.hirschberg.ea:21:large,
author = {Derrida, Bernard and Hirschberg, Ori and Sadhu, Tridib},
title = {Large deviations in the symmetric simple exclusion process
with slow boundaries},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {182},
year = {2021},
number = {1},
pages = {Paper No. 15, 13},
issn = {0022-4715,1572-9613},
mrclass = {82C10 (82C22)},
mrnumber = {4197416},
doi = {10.1007/s10955-020-02680-3},
url = {https://doi.org/10.1007/s10955-020-02680-3}
}
@Article{ derrida.itzykson.ea:84:oscillatory,
author = {Derrida, B. and Itzykson, C. and Luck, J. M.},
title = {Oscillatory critical amplitudes in hierarchical models},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {94},
year = {1984},
number = {1},
pages = {115--132},
issn = {0010-3616,1432-0916},
mrclass = {82A68 (58F11)},
mrnumber = {763765},
mrreviewer = {G.\ Benettin},
url = {http://projecteuclid.org/euclid.cmp/1103941233}
}
@Article{ derrida.jacobsen.ea:00:lyapunov,
author = {Derrida, Bernard and Jacobsen, Jesper Lykke and Zeitak,
Reuven},
title = {Lyapunov exponent and density of states of a
one-dimensional non-{H}ermitian {S}chr\"odinger equation},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {98},
year = {2000},
number = {1-2},
pages = {31--55},
issn = {0022-4715,1572-9613},
mrclass = {81Q05 (82B10 82B31)},
mrnumber = {1745835},
doi = {10.1023/A:1018666620368},
url = {https://doi.org/10.1023/A:1018666620368}
}
@Article{ derrida.janowsky.ea:93:exact,
author = {Derrida, B. and Janowsky, S. A. and Lebowitz, J. L. and
Speer, E. R.},
title = {Exact solution of the totally asymmetric simple exclusion
process: shock profiles},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {73},
year = {1993},
number = {5-6},
pages = {813--842},
issn = {0022-4715,1572-9613},
mrclass = {60K35 (82C20)},
mrnumber = {1251221},
mrreviewer = {Pablo\ A.\ Ferrari},
doi = {10.1007/BF01052811},
url = {https://doi.org/10.1007/BF01052811}
}
@Article{ derrida.janowsky.ea:93:microscopic-shock,
author = {Derrida, B. and Janowsky, S. A. and Lebowitz, J. L. and
Speer, E. R.},
title = {Microscopic-shock profiles: exact solution of a
nonequilibrium system},
journal = {Europhys. Lett.},
fjournal = {Europhysics Letters},
volume = {22},
year = {1993},
number = {9},
pages = {651--656},
issn = {0295-5075,1286-4854},
mrclass = {81T25 (60G99 81T50 82B26 82C35)},
mrnumber = {1226155},
mrreviewer = {Krystyna\ Parczyk},
doi = {10.1209/0295-5075/22/9/003},
url = {https://doi.org/10.1209/0295-5075/22/9/003}
}
@Article{ derrida.jung-muller:99:genealogical,
author = {Derrida, B. and Jung-Muller, B.},
title = {The genealogical tree of a chromosome},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {94},
year = {1999},
number = {3-4},
pages = {277--298},
issn = {0022-4715,1572-9613},
mrclass = {92D20 (82B44 82B80)},
mrnumber = {1675354},
doi = {10.1023/A:1004560700396},
url = {https://doi.org/10.1023/A:1004560700396}
}
@Article{ derrida.lebowitz.ea:01:free,
author = {Derrida, B. and Lebowitz, J. L. and Speer, E. R.},
title = {Free energy functional for nonequilibrium systems: an
exactly solvable case},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {87},
year = {2001},
number = {15},
pages = {150601, 4},
issn = {0031-9007,1079-7114},
mrclass = {82C23},
mrnumber = {1862335},
doi = {10.1103/PhysRevLett.87.150601},
url = {https://doi.org/10.1103/PhysRevLett.87.150601}
}
@Article{ derrida.lebowitz.ea:02:large,
author = {Derrida, B. and Lebowitz, J. L. and Speer, E. R.},
title = {Large deviation of the density profile in the steady state
of the open symmetric simple exclusion process},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {107},
year = {2002},
number = {3-4},
pages = {599--634},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60F10 60K35)},
mrnumber = {1898851},
mrreviewer = {Ellen\ Saada},
doi = {10.1023/A:1014555927320},
url = {https://doi.org/10.1023/A:1014555927320}
}
@InCollection{ derrida.lebowitz.ea:03:exact,
author = {Derrida, B. and Lebowitz, J. L. and Speer, E. R.},
title = {Exact large deviation functional of a stationary open
driven diffusive system: the asymmetric exclusion process},
note = {Special issue in honor of Michael E.\ Fisher's 70th
birthday (Piscataway, NJ, 2001)},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {110},
year = {2003},
number = {3-6},
pages = {775--810},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60F10 60K35)},
mrnumber = {1964689},
mrreviewer = {Ellen\ Saada},
doi = {10.1023/A:1022111919402},
url = {https://doi.org/10.1023/A:1022111919402}
}
@Article{ derrida.lebowitz.ea:07:entropy,
author = {Derrida, B. and Lebowitz, J. L. and Speer, E. R.},
title = {Entropy of open lattice systems},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {126},
year = {2007},
number = {4-5},
pages = {1083--1108},
issn = {0022-4715,1572-9613},
mrclass = {82C20 (60K35 82C26)},
mrnumber = {2311899},
mrreviewer = {Marina\ Vachkovskaia},
doi = {10.1007/s10955-006-9160-5},
url = {https://doi.org/10.1007/s10955-006-9160-5}
}
@Article{ derrida.lebowitz.ea:91:dynamics,
author = {Derrida, B. and Lebowitz, J. L. and Speer, E. R. and
Spohn, H.},
title = {Dynamics of an anchored {T}oom interface},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {24},
year = {1991},
number = {20},
pages = {4805--4834},
issn = {0305-4470,1751-8121},
mrclass = {82C24},
mrnumber = {1131256},
url = {http://stacks.iop.org/0305-4470/24/4805}
}
@Article{ derrida.lebowitz.ea:91:fluctuations,
author = {Derrida, B. and Lebowitz, J. L. and Speer, E. R. and
Spohn, H.},
title = {Fluctuations of a stationary nonequilibrium interface},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {67},
year = {1991},
number = {2},
pages = {165--168},
issn = {0031-9007},
mrclass = {82B24 (82C24)},
mrnumber = {1113639},
doi = {10.1103/PhysRevLett.67.165},
url = {https://doi.org/10.1103/PhysRevLett.67.165}
}
@InCollection{ derrida.lebowitz.ea:97:shock,
author = {Derrida, B. and Lebowitz, J. L. and Speer, E. R.},
title = {Shock profiles for the asymmetric simple exclusion process
in one dimension},
note = {Dedicated to Bernard Jancovici},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {89},
year = {1997},
number = {1-2},
pages = {135--167},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60K35)},
mrnumber = {1492490},
mrreviewer = {Pablo\ A.\ Ferrari},
doi = {10.1007/BF02770758},
url = {https://doi.org/10.1007/BF02770758}
}
@Article{ derrida.lebowitz:98:exact,
author = {Derrida, Bernard and Lebowitz, Joel L.},
title = {Exact large deviation function in the asymmetric exclusion
process},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {80},
year = {1998},
number = {2},
pages = {209--213},
issn = {0031-9007},
mrclass = {60K35 (60F10 82C31)},
mrnumber = {1604439},
doi = {10.1103/PhysRevLett.80.209},
url = {https://doi.org/10.1103/PhysRevLett.80.209}
}
@Article{ derrida.mallick:97:exact,
author = {Derrida, B. and Mallick, K.},
title = {Exact diffusion constant for the one-dimensional partially
asymmetric exclusion model},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {30},
year = {1997},
number = {4},
pages = {1031--1046},
issn = {0305-4470,1751-8121},
mrclass = {82C22 (60K35 82C70)},
mrnumber = {1449262},
mrreviewer = {Ellen\ Saada},
doi = {10.1088/0305-4470/30/4/007},
url = {https://doi.org/10.1088/0305-4470/30/4/007}
}
@InCollection{ derrida.manrubia.ea:00:distribution,
author = {Derrida, Bernard and Manrubia, Susanna C. and Zanette,
Dami\'an H.},
title = {Distribution of repetitions of ancestors in genealogical
trees},
note = {StatPhys-Taiwan-1999: equilibrium and non-equilibrium
phase transitions (Taipei/Hualien, 1999)},
journal = {Phys. A},
fjournal = {Physica A. Statistical Mechanics and its Applications},
volume = {281},
year = {2000},
number = {1-4},
pages = {1--16},
issn = {0378-4371},
mrclass = {92D15 (82B28)},
mrnumber = {1777384},
doi = {10.1016/S0378-4371(00)00031-5},
url = {https://doi.org/10.1016/S0378-4371(00)00031-5}
}
@Article{ derrida.pomeau:80:feigenbaums,
author = {Derrida, B. and Pomeau, Y.},
title = {Feigenbaum's ratios of two-dimensional area preserving
maps},
journal = {Phys. Lett. A},
fjournal = {Physics Letters. A},
volume = {80},
year = {1980},
number = {4},
pages = {217--219},
issn = {0375-9601,1873-2429},
mrclass = {58F13 (76F99 82A05)},
mrnumber = {594735},
mrreviewer = {Frederick\ R.\ Marotto},
doi = {10.1016/0375-9601(80)90003-1},
url = {https://doi.org/10.1016/0375-9601(80)90003-1}
}
@Article{ derrida.rodgers:93:anderson,
author = {Derrida, B. and Rodgers, G. J.},
title = {Anderson model on a {C}ayley tree: the density of states},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {26},
year = {1993},
number = {9},
pages = {L457--L463},
issn = {0305-4470,1751-8121},
mrclass = {82B20 (82B44 82D30)},
mrnumber = {1225303},
url = {http://stacks.iop.org/0305-4470/26/L457}
}
@Article{ derrida.sadhu:19:large,
author = {Derrida, Bernard and Sadhu, Tridib},
title = {Large deviations conditioned on large deviations {I}:
{M}arkov chain and {L}angevin equation},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {176},
year = {2019},
number = {4},
pages = {773--805},
issn = {0022-4715,1572-9613},
mrclass = {60F10 (60J10 60J60)},
mrnumber = {3990215},
doi = {10.1007/s10955-019-02321-4},
url = {https://doi.org/10.1007/s10955-019-02321-4}
}
@Article{ derrida.seze.ea:83:fractal,
author = {Derrida, B. and de Seze, L. and Itzykson, C.},
title = {Fractal structure of zeros in hierarchical models},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {33},
year = {1983},
number = {3},
pages = {559--569},
issn = {0022-4715,1572-9613},
mrclass = {82A68 (30D40 58F08)},
mrnumber = {732376},
doi = {10.1007/BF01018834},
url = {https://doi.org/10.1007/BF01018834}
}
@Article{ derrida.shi:16:large,
author = {Derrida, Bernard and Shi, Zhan},
title = {Large deviations for the branching {B}rownian motion in
presence of selection or coalescence},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {163},
year = {2016},
number = {6},
pages = {1285--1311},
issn = {0022-4715,1572-9613},
mrclass = {82C41},
mrnumber = {3503265},
mrreviewer = {P\'eter\ N\'andori},
doi = {10.1007/s10955-016-1522-z},
url = {https://doi.org/10.1007/s10955-016-1522-z}
}
@InCollection{ derrida.shi:17:large,
author = {Derrida, Bernard and Shi, Zhan},
title = {Large deviations for the rightmost position in a branching
{B}rownian motion},
booktitle = {Modern problems of stochastic analysis and statistics},
series = {Springer Proc. Math. Stat.},
volume = {208},
pages = {303--312},
publisher = {Springer, Cham},
year = {2017},
isbn = {978-3-319-65313-6; 978-3-319-65312-9},
mrclass = {60F10 (60J80)},
mrnumber = {3747671},
mrreviewer = {Vitali\ Wachtel},
doi = {10.1007/978-3-319-65313-6\_12},
url = {https://doi.org/10.1007/978-3-319-65313-6_12}
}
@Article{ derrida.shi:17:slower,
author = {Derrida, Bernard and Shi, Zhan},
title = {Slower deviations of the branching {B}rownian motion and
of branching random walks},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {50},
year = {2017},
number = {34},
pages = {344001, 13},
issn = {1751-8113,1751-8121},
mrclass = {60J80 (60F10 60G50 60J65)},
mrnumber = {3681502},
doi = {10.1088/1751-8121/aa7f98},
url = {https://doi.org/10.1088/1751-8121/aa7f98}
}
@Article{ derrida.simon:07:survival,
author = {Derrida, B. and Simon, D.},
title = {The survival probability of a branching random walk in
presence of an absorbing wall},
journal = {Europhys. Lett. EPL},
fjournal = {Europhysics Letters. EPL},
volume = {78},
year = {2007},
number = {6},
pages = {Art. 60006, 6},
issn = {0295-5075,1286-4854},
mrclass = {82C41 (60G50)},
mrnumber = {2366713},
doi = {10.1209/0295-5075/78/60006},
url = {https://doi.org/10.1209/0295-5075/78/60006}
}
@InCollection{ derrida.spohn:88:polymers,
author = {Derrida, B. and Spohn, H.},
title = {Polymers on disordered trees, spin glasses, and traveling
waves},
note = {New directions in statistical mechanics (Santa Barbara,
CA, 1987)},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {51},
year = {1988},
number = {5-6},
pages = {817--840},
issn = {0022-4715},
mrclass = {82A57 (82A41 82A51)},
mrnumber = {971033},
mrreviewer = {Aernout C. D. van Enter},
doi = {10.1007/BF01014886},
url = {https://doi.org/10.1007/BF01014886}
}
@InCollection{ derrida:06:matrix,
author = {Derrida, Bernard},
title = {Matrix ansatz large deviations of the density in exclusion
processes},
booktitle = {International {C}ongress of {M}athematicians. {V}ol.
{III}},
pages = {367--382},
publisher = {Eur. Math. Soc., Z\"urich},
year = {2006},
isbn = {978-3-03719-022-7},
mrclass = {82C22 (60F10 60K35 82C26)},
mrnumber = {2275686},
mrreviewer = {Ellen\ Saada}
}
@Article{ derrida:07:non-equilibrium,
author = {Derrida, Bernard},
title = {Non-equilibrium steady states: fluctuations and large
deviations of the density and of the current},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2007},
number = {7},
pages = {P07023, 45},
mrclass = {82C05 (82-02 82C22)},
mrnumber = {2335699},
mrreviewer = {Davide Gabrielli},
doi = {10.1088/1742-5468/2007/07/p07023},
url = {https://doi.org/10.1088/1742-5468/2007/07/p07023}
}
@Article{ derrida:11:microscopic,
author = {Derrida, Bernard},
title = {Microscopic versus macroscopic approaches to
non-equilibrium systems},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2011},
number = {1},
pages = {P01030, 13},
issn = {1742-5468},
mrclass = {82C05},
mrnumber = {2770606},
doi = {10.1088/1742-5468/2011/01/p01030},
url = {https://doi.org/10.1088/1742-5468/2011/01/p01030}
}
@InCollection{ derrida:80:random,
author = {Derrida, B.},
title = {The random energy model},
note = {Common trends in particle and condensed matter physics
(Proc. Winter Adv. Study Inst., Les Houches, 1980)},
journal = {Phys. Rep.},
fjournal = {Physics Reports. A Review Section of Physics Letters},
volume = {67},
year = {1980},
number = {1},
pages = {29--35},
issn = {0370-1573},
mrclass = {82A57},
mrnumber = {600877},
doi = {10.1016/0370-1573(80)90076-9},
url = {https://doi.org/10.1016/0370-1573(80)90076-9}
}
@Article{ derrida:80:random-energy,
author = {Derrida, B.},
title = {Random-energy model: limit of a family of disordered
models},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {45},
year = {1980},
number = {2},
pages = {79--82},
issn = {0031-9007},
mrclass = {82A42},
mrnumber = {575260},
doi = {10.1103/PhysRevLett.45.79},
url = {https://doi.org/10.1103/PhysRevLett.45.79}
}
@Article{ derrida:81:phenomenological,
author = {Derrida, B.},
title = {Phenomenological renormalisation of the self-avoiding walk
in two dimensions},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {14},
year = {1981},
number = {1},
pages = {L5--L9},
issn = {0305-4470,1751-8121},
mrclass = {82A70 (82A42)},
mrnumber = {598364},
url = {http://stacks.iop.org/0305-4470/14/L5}
}
@Article{ derrida:81:random-energy,
author = {Derrida, Bernard},
title = {Random-energy model: an exactly solvable model of
disordered systems},
journal = {Phys. Rev. B (3)},
fjournal = {Physical Review. B. Condensed Matter. Third Series},
volume = {24},
year = {1981},
number = {5},
pages = {2613--2626},
issn = {0163-1829},
mrclass = {82A57 (60K99 82A42)},
mrnumber = {627810},
doi = {10.1103/physrevb.24.2613},
url = {https://doi.org/10.1103/physrevb.24.2613}
}
@Article{ derrida:83:velocity,
author = {Derrida, Bernard},
title = {Velocity and diffusion constant of a periodic
one-dimensional hopping model},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {31},
year = {1983},
number = {3},
pages = {433--450},
issn = {0022-4715,1572-9613},
mrclass = {82A67 (60J70 82A42)},
mrnumber = {711486},
mrreviewer = {M.\ Lawrence\ Glasser},
doi = {10.1007/BF01019492},
url = {https://doi.org/10.1007/BF01019492}
}
@InCollection{ derrida:88:dynamics,
author = {Derrida, B.},
title = {Dynamics of automata, spin glasses and neural network
models},
booktitle = {Nonlinear evolution and chaotic phenomena ({N}oto, 1987)},
series = {NATO Adv. Sci. Inst. Ser. B: Phys.},
volume = {176},
pages = {213--244},
publisher = {Plenum, New York},
year = {1988},
isbn = {0-306-42909-8},
mrclass = {82C32 (58F08 68Q80 82-02 92B20)},
mrnumber = {1109981},
doi = {10.1007/978-1-4613-1017-4\_17},
url = {https://doi.org/10.1007/978-1-4613-1017-4_17}
}
@InCollection{ derrida:90:directed,
author = {Derrida, B.},
title = {Directed polymers in a random medium},
note = {Statistical physics (Rio de Janeiro, 1989)},
journal = {Phys. A},
fjournal = {Physica A},
volume = {163},
year = {1990},
number = {1},
pages = {71--84},
issn = {0378-4371},
mrclass = {82A51 (82A42)},
mrnumber = {1043640},
doi = {10.1016/0378-4371(90)90316-K},
url = {https://doi.org/10.1016/0378-4371(90)90316-K}
}
@InCollection{ derrida:90:dynamical,
author = {Derrida, Bernard},
title = {Dynamical phase transitions in spin models and automata},
booktitle = {Fundamental problems in statistical mechanics {VII}
({A}ltenberg, 1989)},
pages = {273--309},
publisher = {North-Holland, Amsterdam},
year = {1990},
isbn = {0-444-88432-7},
mrclass = {82C26 (68Q68 82-02 82C20 82C32)},
mrnumber = {1103833}
}
@InCollection{ derrida:91:zeroes,
author = {Derrida, B.},
title = {The zeroes of the partition function of the random energy
model},
note = {Current problems in statistical mechanics (Washington, DC,
1991)},
journal = {Phys. A},
fjournal = {Physica A},
volume = {177},
year = {1991},
number = {1-3},
pages = {31--37},
issn = {0378-4371},
mrclass = {82B05 (30C15 82B26)},
mrnumber = {1137017},
mrreviewer = {James\ L.\ Monroe},
doi = {10.1016/0378-4371(91)90130-5},
url = {https://doi.org/10.1016/0378-4371(91)90130-5}
}
@InCollection{ derrida:95:coarsening,
author = {Derrida, B.},
title = {Coarsening phenomena in one dimension},
booktitle = {Complex systems and binary networks ({G}uanajuato, 1995)},
series = {Lecture Notes in Phys.},
volume = {461},
pages = {164--182},
publisher = {Springer, Berlin},
year = {1995},
isbn = {3-540-60339-5},
mrclass = {82B03},
mrnumber = {1481202}
}
@Article{ derrida:95:exponents,
author = {Derrida, B.},
title = {Exponents appearing in the zero-temperature dynamics of
the {$1$}D {P}otts model},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {28},
year = {1995},
number = {6},
pages = {1481--1491},
issn = {0305-4470,1751-8121},
mrclass = {82C20},
mrnumber = {1338042},
doi = {10.1088/0305-4470/28/6/006},
url = {https://doi.org/10.1088/0305-4470/28/6/006}
}
@InCollection{ derrida:97:from,
author = {Derrida, B.},
title = {From random walks to spin glasses},
note = {Landscape paradigms in physics and biology (Los Alamos,
NM, 1996)},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {107},
year = {1997},
number = {2-4},
pages = {186--198},
issn = {0167-2789,1872-8022},
mrclass = {82D30 (82B41 82B44)},
mrnumber = {1491962},
mrreviewer = {Barbara\ Gentz},
doi = {10.1016/S0167-2789(97)00086-9},
url = {https://doi.org/10.1016/S0167-2789(97)00086-9}
}
@InCollection{ derrida:97:zero,
author = {Derrida, B.},
title = {Zero temperature {G}lauber dynamics of the {$1{\rm d}$}
{P}otts model},
booktitle = {The mathematical beauty of physics ({S}aclay, 1996)},
series = {Adv. Ser. Math. Phys.},
volume = {24},
pages = {126--140},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1997},
isbn = {981-02-2807-4},
mrclass = {82C20 (82C23)},
mrnumber = {1490853}
}
@InCollection{ derrida:98:exactly,
author = {Derrida, B.},
title = {An exactly soluble non-equilibrium system: the asymmetric
simple exclusion process},
note = {Fundamental problems in statistical mechanics (Altenberg,
1997)},
journal = {Phys. Rep.},
fjournal = {Physics Reports. A Review Section of Physics Letters},
volume = {301},
year = {1998},
number = {1-3},
pages = {65--83},
issn = {0370-1573,1873-6270},
mrclass = {82C22 (60K35 82C23)},
mrnumber = {1640459},
mrreviewer = {Gunter\ Sch\"utz},
doi = {10.1016/S0370-1573(98)00006-4},
url = {https://doi.org/10.1016/S0370-1573(98)00006-4}
}
@Article{ derriennic.hachem:88:sur,
author = {Derriennic, Yves and Hachem, Bachar},
title = {Sur la convergence en moyenne des suites presque
sous-additives},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {198},
year = {1988},
number = {2},
pages = {221--224},
issn = {0025-5874},
mrclass = {28D05 (60F15 60G10)},
mrnumber = {939537},
mrreviewer = {Isaac Meilijson},
doi = {10.1007/BF01163292},
url = {https://doi.org/10.1007/BF01163292}
}
@Article{ deslandes.houdre:21:on,
author = {Deslandes, Cl\'{e}ment and Houdr\'{e}, Christian},
title = {On the limiting law of the length of the longest common
and increasing subsequences in random words with arbitrary
distribution},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {26},
year = {2021},
pages = {Paper No. 69, 27},
mrclass = {60F05 (05A05 60C05)},
mrnumber = {4262342},
doi = {10.1214/21-ejp612},
url = {https://doi.org/10.1214/21-ejp612}
}
@Article{ desrosiers.forrester:06:asymptotic,
author = {Desrosiers, Patrick and Forrester, Peter J.},
title = {Asymptotic correlations for {G}aussian and {W}ishart
matrices with external source},
journal = {Int. Math. Res. Not.},
fjournal = {International Mathematics Research Notices},
year = {2006},
pages = {Art. ID 27395, 43},
issn = {1073-7928},
mrclass = {62H20 (15A03 82B41)},
mrnumber = {2250019},
mrreviewer = {Peter Eichelsbacher},
doi = {10.1155/IMRN/2006/27395},
url = {https://doi.org/10.1155/IMRN/2006/27395}
}
@Article{ desrosiers.forrester:06:hermite,
author = {Desrosiers, Patrick and Forrester, Peter J.},
title = {Hermite and {L}aguerre {$\beta$}-ensembles: asymptotic
corrections to the eigenvalue density},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {743},
year = {2006},
number = {3},
pages = {307--332},
issn = {0550-3213},
mrclass = {82B44 (15A52 33C90 81R12 82B41)},
mrnumber = {2227950},
mrreviewer = {Oleksiy Khorunzhiy},
doi = {10.1016/j.nuclphysb.2006.03.002},
url = {https://doi.org/10.1016/j.nuclphysb.2006.03.002}
}
@Article{ desvillettes.fellner.ea:07:global,
author = {Desvillettes, Laurent and Fellner, Klemens and Pierre,
Michel and Vovelle, Julien},
title = {Global existence for quadratic systems of
reaction-diffusion},
journal = {Adv. Nonlinear Stud.},
fjournal = {Advanced Nonlinear Studies},
volume = {7},
year = {2007},
number = {3},
pages = {491--511},
issn = {1536-1365},
mrclass = {35K57 (35D05)},
mrnumber = {2340282},
doi = {10.1515/ans-2007-0309},
url = {https://doi.org/10.1515/ans-2007-0309}
}
@Article{ desvillettes.fellner:06:exponential,
author = {Desvillettes, Laurent and Fellner, Klemens},
title = {Exponential decay toward equilibrium via entropy methods
for reaction-diffusion equations},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {319},
year = {2006},
number = {1},
pages = {157--176},
issn = {0022-247X},
mrclass = {35K57 (35B40 92E20)},
mrnumber = {2217853},
mrreviewer = {Arnaud Rougirel},
doi = {10.1016/j.jmaa.2005.07.003},
url = {https://doi.org/10.1016/j.jmaa.2005.07.003}
}
@InCollection{ dettweiler:84:stochastic,
author = {Dettweiler, E.},
title = {Stochastic integral equations and diffusions on {B}anach
spaces},
booktitle = {Probability theory on vector spaces, {III} ({L}ublin,
1983)},
series = {Lecture Notes in Math.},
volume = {1080},
pages = {9--45},
publisher = {Springer, Berlin},
year = {1984},
mrclass = {60H20 (60B11 60J60)},
mrnumber = {788000},
doi = {10.1007/BFb0099783},
url = {https://doi.org/10.1007/BFb0099783}
}
@Article{ dettweiler:91:stochastic,
author = {Dettweiler, Egbert},
title = {Stochastic integration relative to {B}rownian motion on a
general {B}anach space},
journal = {Dou{g}a Mat.},
fjournal = {Dou{g}a. Turkish Journal of Mathematics},
volume = {15},
year = {1991},
number = {2},
pages = {58--97},
issn = {1010-7622},
mrclass = {60H05 (46N30 47N30 60B99)},
mrnumber = {1115509},
mrreviewer = {Jerzy Szulga}
}
@Article{ deuschel.giacomin.ea:05:scaling,
author = {Deuschel, Jean-Dominique and Giacomin, Giambattista and
Zambotti, Lorenzo},
title = {Scaling limits of equilibrium wetting models in
{$(1+1)$}-dimension},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {132},
year = {2005},
number = {4},
pages = {471--500},
issn = {0178-8051,1432-2064},
mrclass = {60K35 (60F10 82B41)},
mrnumber = {2198199},
mrreviewer = {Peter\ Eichelsbacher},
doi = {10.1007/s00440-004-0401-8},
url = {https://doi.org/10.1007/s00440-004-0401-8}
}
@Article{ deuschel.zambotti:05:bismut-elworthys,
author = {Deuschel, Jean-Dominique and Zambotti, Lorenzo},
title = {Bismut-{E}lworthy's formula and random walk representation
for {SDE}s with reflection},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {115},
year = {2005},
number = {6},
pages = {907--925},
issn = {0304-4149,1879-209X},
mrclass = {60H10 (60H07 60J55)},
mrnumber = {2134484},
mrreviewer = {Anna\ Amirdjanova},
doi = {10.1016/j.spa.2005.01.002},
url = {https://doi.org/10.1016/j.spa.2005.01.002}
}
@Article{ deuschel.zeitouni:95:limiting,
author = {Deuschel, Jean-Dominique and Zeitouni, Ofer},
title = {Limiting curves for i.i.d. records},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {2},
pages = {852--878},
issn = {0091-1798,2168-894X},
mrclass = {60G70 (60F10)},
mrnumber = {1334175},
mrreviewer = {Charles\ M.\ Goldie},
url = {http://links.jstor.org/sici?sici=0091-1798(199504)23:2<852:LCFIR>2.0.CO;2-U&origin=MSN}
}
@Article{ deuschel.zeitouni:99:on,
author = {Deuschel, Jean-Dominique and Zeitouni, Ofer},
title = {On increasing subsequences of {I}.{I}.{D}. samples},
journal = {Combin. Probab. Comput.},
fjournal = {Combinatorics, Probability and Computing},
volume = {8},
year = {1999},
number = {3},
pages = {247--263},
issn = {0963-5483},
mrclass = {60F10 (60C05)},
mrnumber = {1702546},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1017/S0963548399003776},
url = {https://doi.org/10.1017/S0963548399003776}
}
@Article{ deuschel:88:central,
author = {Deuschel, Jean-Dominique},
title = {Central limit theorem for an infinite lattice system of
interacting diffusion processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {16},
year = {1988},
number = {2},
pages = {700--716},
issn = {0091-1798},
mrclass = {60F05 (60H10 60J60)},
mrnumber = {929072},
mrreviewer = {G. Leha},
url = {http://links.jstor.org/sici?sici=0091-1798(198804)16:2<700:CLTFAI>2.0.CO;2-2&origin=MSN}
}
@Book{ deutsch.dormann:17:cellular,
author = {Deutsch, Andreas and Dormann, Sabine},
title = {Cellular automaton modeling of biological pattern
formation},
series = {Modeling and Simulation in Science, Engineering and
Technology},
note = {Characterization, examples, and analysis, Second edition
of [ MR2100608], With a foreword by Philip K. Maini},
publisher = {Birkh\"{a}user/Springer, New York},
year = {2017},
pages = {xxii+464},
isbn = {978-1-4899-7978-0; 978-1-4899-7980-3},
mrclass = {92C15 (37B15 68Q80 92C17)},
mrnumber = {3753585}
}
@Article{ devore.jawerth.ea:92:compression,
author = {DeVore, Ronald A. and Jawerth, Bj\"{o}rn and Popov, Vasil},
title = {Compression of wavelet decompositions},
journal = {Amer. J. Math.},
fjournal = {American Journal of Mathematics},
volume = {114},
year = {1992},
number = {4},
pages = {737--785},
issn = {0002-9327},
mrclass = {42C15},
mrnumber = {1175690},
mrreviewer = {Charles K. Chui},
doi = {10.2307/2374796},
url = {https://doi.org/10.2307/2374796}
}
@Article{ devore.kyriazis.ea:98:multiscale,
author = {DeVore, R. A. and Kyriazis, G. C. and Wang, P.},
title = {Multiscale characterizations of {B}esov spaces on bounded
domains},
journal = {J. Approx. Theory},
fjournal = {Journal of Approximation Theory},
volume = {93},
year = {1998},
number = {2},
pages = {273--292},
issn = {0021-9045},
mrclass = {46E35 (41A17 41A63)},
mrnumber = {1616793},
mrreviewer = {H. Wallin},
doi = {10.1006/jath.1997.3142},
url = {https://doi.org/10.1006/jath.1997.3142}
}
@InCollection{ devore:98:nonlinear,
author = {DeVore, Ronald A.},
title = {Nonlinear approximation},
booktitle = {Acta numerica, 1998},
series = {Acta Numer.},
volume = {7},
pages = {51--150},
publisher = {Cambridge Univ. Press, Cambridge},
year = {1998},
mrclass = {41A46 (42C40 65D15)},
mrnumber = {1689432},
mrreviewer = {Rong Qing Jia},
doi = {10.1017/S0962492900002816},
url = {https://doi.org/10.1017/S0962492900002816}
}
@Article{ deya.gubinelli.ea:12:non-linear,
author = {Deya, A. and Gubinelli, M. and Tindel, S.},
title = {Non-linear rough heat equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {153},
year = {2012},
number = {1-2},
pages = {97--147},
issn = {0178-8051},
mrclass = {60H15 (60G22 60H05 60H07)},
mrnumber = {2925571},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1007/s00440-011-0341-z},
url = {https://doi.org/10.1007/s00440-011-0341-z}
}
@Article{ deya.gubinelli.ea:19:one-dimensional,
author = {Deya, Aur\'{e}lien and Gubinelli, Massimiliano and
Hofmanov\'{a}, Martina and Tindel, Samy},
title = {One-dimensional reflected rough differential equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {129},
year = {2019},
number = {9},
pages = {3261--3281},
issn = {0304-4149},
mrclass = {60H30 (60H99)},
mrnumber = {3985562},
mrreviewer = {Keisuke Hara},
doi = {10.1016/j.spa.2018.09.007},
url = {https://doi.org/10.1016/j.spa.2018.09.007}
}
@Article{ deya.gubinelli.ea:19:priori,
author = {Deya, Aur\'{e}lien and Gubinelli, Massimiliano and
Hofmanov\'{a}, Martina and Tindel, Samy},
title = {A priori estimates for rough {PDE}s with application to
rough conservation laws},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {276},
year = {2019},
number = {12},
pages = {3577--3645},
issn = {0022-1236},
mrclass = {60H15 (35L65 35R60)},
mrnumber = {3957994},
mrreviewer = {Le Chen},
doi = {10.1016/j.jfa.2019.03.008},
url = {https://doi.org/10.1016/j.jfa.2019.03.008}
}
@Article{ deya.jolis.ea:13:stratonovich,
author = {Deya, Aur\'{e}lien and Jolis, Maria and Quer-Sardanyons,
Llu\'{i}s},
title = {The {S}tratonovich heat equation: a continuity result and
weak approximations},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {18},
year = {2013},
pages = {no. 3, 34},
mrclass = {60H15 (60G17 60H05)},
mrnumber = {3024097},
mrreviewer = {Xavier Bardina},
doi = {10.1214/EJP.v18-2004},
url = {https://doi.org/10.1214/EJP.v18-2004}
}
@Article{ deya.neuenkirch.ea:12:milstein-type,
author = {Deya, A. and Neuenkirch, A. and Tindel, S.},
title = {A {M}ilstein-type scheme without {L}\'{e}vy area terms for
{SDE}s driven by fractional {B}rownian motion},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {48},
year = {2012},
number = {2},
pages = {518--550},
issn = {0246-0203},
mrclass = {60H35 (60G22 60H10 65C30)},
mrnumber = {2954265},
mrreviewer = {Gon\c{c}alo Dos Reis},
doi = {10.1214/10-AIHP392},
url = {https://doi.org/10.1214/10-AIHP392}
}
@Article{ deya.noreddine.ea:13:fourth,
author = {Deya, Aur\'{e}lien and Noreddine, Salim and Nourdin, Ivan},
title = {Fourth moment theorem and {$q$}-{B}rownian chaos},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {321},
year = {2013},
number = {1},
pages = {113--134},
issn = {0010-3616},
mrclass = {60J65 (46L54 60H99)},
mrnumber = {3089666},
mrreviewer = {Takahiro Hasebe},
doi = {10.1007/s00220-012-1631-8},
url = {https://doi.org/10.1007/s00220-012-1631-8}
}
@Article{ deya.nourdin:12:convergence,
author = {Deya, Aur\'{e}lien and Nourdin, Ivan},
title = {Convergence of {W}igner integrals to the tetilla law},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {9},
year = {2012},
pages = {101--127},
mrclass = {46L54 (60B20 60H05 60H07)},
mrnumber = {2893412},
mrreviewer = {Dong Hyun Cho}
}
@Article{ deya.nourdin:14:invariance,
author = {Deya, Aur\'{e}lien and Nourdin, Ivan},
title = {Invariance principles for homogeneous sums of free random
variables},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {20},
year = {2014},
number = {2},
pages = {586--603},
issn = {1350-7265},
mrclass = {46L54 (46L40 60F05 60F17 60J65)},
mrnumber = {3178510},
mrreviewer = {S\"{o}ren M\"{o}ller},
doi = {10.3150/12-BEJ498},
url = {https://doi.org/10.3150/12-BEJ498}
}
@Article{ deya.nualart.ea:15:on,
author = {Deya, Aur\'{e}lien and Nualart, David and Tindel, Samy},
title = {On {$L^2$} modulus of continuity of {B}rownian local times
and {R}iesz potentials},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {3},
pages = {1493--1534},
issn = {0091-1798},
mrclass = {60G15 (60H07 60H10 65C30)},
mrnumber = {3342669},
mrreviewer = {Abdellatif Bench\'{e}rif-Madani},
doi = {10.1214/13-AOP904},
url = {https://doi.org/10.1214/13-AOP904}
}
@Article{ deya.panloup.ea:19:rate,
author = {Deya, Aur\'{e}lien and Panloup, Fabien and Tindel, Samy},
title = {Rate of convergence to equilibrium of fractional driven
stochastic differential equations with rough multiplicative
noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {1},
pages = {464--518},
issn = {0091-1798},
mrclass = {60G22 (37A25 60H10)},
mrnumber = {3909974},
mrreviewer = {Mireia Besal\'{u}},
doi = {10.1214/18-AOP1265},
url = {https://doi.org/10.1214/18-AOP1265}
}
@Article{ deya.tindel:09:rough,
author = {Deya, Aur\'{e}lien and Tindel, Samy},
title = {Rough {V}olterra equations. {I}. {T}he algebraic
integration setting},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {9},
year = {2009},
number = {3},
pages = {437--477},
issn = {0219-4937},
mrclass = {60H05 (60H20)},
mrnumber = {2566910},
mrreviewer = {Llu\'{i}s Quer-Sardanyons},
doi = {10.1142/S0219493709002737},
url = {https://doi.org/10.1142/S0219493709002737}
}
@Article{ deya.tindel:11:rough,
author = {Deya, Aur\'{e}lien and Tindel, Samy},
title = {Rough {V}olterra equations 2: {C}onvolutional generalized
integrals},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {8},
pages = {1864--1899},
issn = {0304-4149},
mrclass = {60H05 (60G15 60G17 60H07 60H20)},
mrnumber = {2811027},
mrreviewer = {Llu\'{i}s Quer-Sardanyons},
doi = {10.1016/j.spa.2011.05.003},
url = {https://doi.org/10.1016/j.spa.2011.05.003}
}
@InCollection{ deya.tindel:13:malliavin,
author = {Deya, Aur\'{e}lien and Tindel, Samy},
title = {Malliavin calculus for fractional heat equation},
booktitle = {Malliavin calculus and stochastic analysis},
series = {Springer Proc. Math. Stat.},
volume = {34},
pages = {361--384},
publisher = {Springer, New York},
year = {2013},
mrclass = {60H15 (60H07)},
mrnumber = {3070452},
mrreviewer = {Llu\'{i}s Quer-Sardanyons},
doi = {10.1007/978-1-4614-5906-4\_16},
url = {https://doi.org/10.1007/978-1-4614-5906-4_16}
}
@Article{ deya:16:on,
author = {Deya, Aur\'{e}lien},
title = {On a modelled rough heat equation},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {166},
year = {2016},
number = {1-2},
pages = {1--65},
issn = {0178-8051},
mrclass = {60H15 (60G15 60G22)},
mrnumber = {3547736},
mrreviewer = {Peter Karl Friz},
doi = {10.1007/s00440-015-0650-8},
url = {https://doi.org/10.1007/s00440-015-0650-8}
}
@Article{ deya:19:nonlinear,
author = {Deya, Aur\'{e}lien},
title = {A nonlinear wave equation with fractional perturbation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {3},
pages = {1775--1810},
issn = {0091-1798},
mrclass = {60H15 (35L15 35L71 35R60 60G22)},
mrnumber = {3945759},
mrreviewer = {Raluca M. Balan},
doi = {10.1214/18-AOP1296},
url = {https://doi.org/10.1214/18-AOP1296}
}
@Article{ deya:20:on,
author = {Deya, Aur\'{e}lien},
title = {On a non-linear 2{D} fractional wave equation},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {56},
year = {2020},
number = {1},
pages = {477--501},
issn = {0246-0203},
mrclass = {60H15 (35L71 35R60 60G22)},
mrnumber = {4058996},
doi = {10.1214/19-AIHP969},
url = {https://doi.org/10.1214/19-AIHP969}
}
@Article{ dhariwal.huber.ea:21:global,
author = {Dhariwal, Gaurav and Huber, Florian and J\"{u}ngel, Ansgar
and Kuehn, Christian and Neam\c{t}u, Alexandra},
title = {Global martingale solutions for quasilinear {SPDE}s via
the boundedness-by-entropy method},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {57},
year = {2021},
number = {1},
pages = {577--602},
issn = {0246-0203,1778-7017},
mrclass = {60H15 (35R60)},
mrnumber = {4255185},
mrreviewer = {Le\ Chen},
doi = {10.1214/20-aihp1088},
url = {https://doi.org/10.1214/20-aihp1088}
}
@InCollection{ dhoker:99:string,
author = {D'Hoker, Eric},
title = {String theory},
booktitle = {Quantum fields and strings: a course for mathematicians,
{V}ol. 1, 2 ({P}rinceton, {NJ}, 1996/1997)},
pages = {807--1011},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1999},
mrclass = {81T30 (81-02 83E30)},
mrnumber = {1701611},
mrreviewer = {Douglas J. Smith}
}
@Article{ di-francesco.ginsparg.ea:95:2d,
author = {Di Francesco, P. and Ginsparg, P. and Zinn-Justin, J.},
title = {{$2$}{D} gravity and random matrices},
journal = {Phys. Rep.},
fjournal = {Physics Reports. A Review Section of Physics Letters},
volume = {254},
year = {1995},
number = {1-2},
pages = {133},
issn = {0370-1573},
mrclass = {81T40 (81-02 81T27)},
mrnumber = {1320471},
mrreviewer = {Yolanda Lozano},
doi = {10.1016/0370-1573(94)00084-G},
url = {https://doi.org/10.1016/0370-1573(94)00084-G}
}
@Book{ di-francesco.mathieu.ea:97:conformal,
author = {Di Francesco, Philippe and Mathieu, Pierre and
S\'{e}n\'{e}chal, David},
title = {Conformal field theory},
series = {Graduate Texts in Contemporary Physics},
publisher = {Springer-Verlag, New York},
year = {1997},
pages = {xxii+890},
isbn = {0-387-94785-X},
mrclass = {81T40 (81-02)},
mrnumber = {1424041},
mrreviewer = {Christoph Schweigert},
doi = {10.1007/978-1-4612-2256-9},
url = {https://doi.org/10.1007/978-1-4612-2256-9}
}
@Article{ di-nezza.palatucci.ea:12:hitchhikers,
author = {Di Nezza, Eleonora and Palatucci, Giampiero and Valdinoci,
Enrico},
title = {Hitchhiker's guide to the fractional {S}obolev spaces},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {136},
year = {2012},
number = {5},
pages = {521--573},
issn = {0007-4497},
mrclass = {46E35 (35A23 35S05 35S30)},
mrnumber = {2944369},
mrreviewer = {Lanzhe Liu},
doi = {10.1016/j.bulsci.2011.12.004},
url = {https://doi.org/10.1016/j.bulsci.2011.12.004}
}
@Article{ di-nunno.zhang:16:approximations,
author = {Di Nunno, Giulia and Zhang, Tusheng},
title = {Approximations of stochastic partial differential
equations},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {3},
pages = {1443--1466},
issn = {1050-5164},
mrclass = {60H15 (35R60)},
mrnumber = {3513595},
mrreviewer = {Pao-Liu Chow},
doi = {10.1214/15-AAP1122},
url = {https://doi.org/10.1214/15-AAP1122}
}
@Book{ di-pietro.ern:12:mathematical,
author = {Di Pietro, Daniele Antonio and Ern, Alexandre},
title = {Mathematical aspects of discontinuous {G}alerkin methods},
series = {Math\'{e}matiques \& Applications (Berlin) [Mathematics \&
Applications]},
volume = {69},
publisher = {Springer, Heidelberg},
year = {2012},
pages = {xviii+384},
isbn = {978-3-642-22979-4},
mrclass = {65-02 (35A35 35F15 35J25 35Q35 65M60 65N30)},
mrnumber = {2882148},
mrreviewer = {R\'{e}mi Vaillancourt},
doi = {10.1007/978-3-642-22980-0},
url = {https://doi.org/10.1007/978-3-642-22980-0}
}
@Article{ diaconis.mayer-wolf.ea:04:poisson-dirichlet,
author = {Diaconis, Persi and Mayer-Wolf, Eddy and Zeitouni, Ofer
and Zerner, Martin P. W.},
title = {The {P}oisson-{D}irichlet law is the unique invariant
distribution for uniform split-merge transformations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {1B},
pages = {915--938},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (60G55 60J27)},
mrnumber = {2044670},
mrreviewer = {Alexander\ V.\ Gnedin},
doi = {10.1214/aop/1079021468},
url = {https://doi.org/10.1214/aop/1079021468}
}
@Book{ diaconis.skyrms:18:ten,
author = {Diaconis, Persi and Skyrms, Brian},
title = {Ten great ideas about chance},
publisher = {Princeton University Press, Princeton, NJ},
year = {2018},
pages = {x+255},
isbn = {978-0-691-17416-7},
mrclass = {60A05 (00A09 01A05 60-03 62A01 62C10)},
mrnumber = {3702017},
mrreviewer = {David R. Bickel}
}
@Article{ diaz.nagai.ea:98:symmetrization,
author = {Diaz, Jesus Ildefonso and Nagai, Toshitaka and Rakotoson,
Jean-Michel},
title = {Symmetrization techniques on unbounded domains:
application to a chemotaxis system on {${\bf R}^N$}},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {145},
year = {1998},
number = {1},
pages = {156--183},
issn = {0022-0396},
mrclass = {35Q80 (35K15 92C45)},
mrnumber = {1620286},
mrreviewer = {Piotr Biler},
doi = {10.1006/jdeq.1997.3389},
url = {https://doi.org/10.1006/jdeq.1997.3389}
}
@Article{ diaz.nagai:95:symmetrization,
author = {Diaz, Jesus Ildefonso and Nagai, Toshitaka},
title = {Symmetrization in a parabolic-elliptic system related to
chemotaxis},
journal = {Adv. Math. Sci. Appl.},
fjournal = {Advances in Mathematical Sciences and Applications},
volume = {5},
year = {1995},
number = {2},
pages = {659--680},
issn = {1343-4373},
mrclass = {35Q80 (35B05 35M10 92C15)},
mrnumber = {1361010},
mrreviewer = {Yoram Schiffmann}
}
@Article{ diehl.ebrahimi-fard.ea:25:on,
author = {Diehl, Joscha and Ebrahimi-Fard, Kurusch and Harang,
Fabian N. and Tindel, Samy},
title = {On the signature of an image},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {187},
year = {2025},
pages = {Paper No. 104661, 26},
issn = {0304-4149,1879-209X},
mrclass = {60L10 (60L20 60L70 60L90)},
mrnumber = {4897732},
doi = {10.1016/j.spa.2025.104661},
url = {https://doi.org/10.1016/j.spa.2025.104661}
}
@Article{ diejen:04:on,
author = {van Diejen, J. F.},
title = {On the {P}lancherel formula for the (discrete) {L}aplacian
in a {W}eyl chamber with repulsive boundary conditions at
the walls},
journal = {Ann. Henri Poincar\'{e}},
fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and
Mathematical Physics},
volume = {5},
year = {2004},
number = {1},
pages = {135--168},
issn = {1424-0637},
mrclass = {81R12 (33C90 43A90 81Q10)},
mrnumber = {2036819},
doi = {10.1007/s00023-004-0163-y},
url = {https://doi.org/10.1007/s00023-004-0163-y}
}
@Article{ dieker.warren:09:on,
author = {Dieker, A. B. and Warren, J.},
title = {On the largest-eigenvalue process for generalized
{W}ishart random matrices},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {6},
year = {2009},
pages = {369--376},
mrclass = {60B20 (60K35)},
mrnumber = {2557876},
mrreviewer = {Florent Benaych-Georges}
}
@Article{ diel:11:almost,
author = {Diel, Roland},
title = {Almost sure asymptotics for the local time of a diffusion
in {B}rownian environment},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {10},
pages = {2303--2330},
issn = {0304-4149},
mrclass = {60J25 (60J55 60J60 60K37)},
mrnumber = {2822778},
mrreviewer = {Firas Rassoul-Agha},
doi = {10.1016/j.spa.2011.06.002},
url = {https://doi.org/10.1016/j.spa.2011.06.002}
}
@InCollection{ dieng.tracy:11:application,
author = {Dieng, Momar and Tracy, Craig A.},
title = {Application of random matrix theory to multivariate
statistics},
booktitle = {Random matrices, random processes and integrable systems},
series = {CRM Ser. Math. Phys.},
pages = {443--507},
publisher = {Springer, New York},
year = {2011},
mrclass = {60B20 (15B52 60-02 62H10)},
mrnumber = {2858441},
doi = {10.1007/978-1-4419-9514-8\_7},
url = {https://doi.org/10.1007/978-1-4419-9514-8_7}
}
@Article{ dieng:05:distribution,
author = {Dieng, Momar},
title = {Distribution functions for edge eigenvalues in orthogonal
and symplectic ensembles: {P}ainlev\'{e} representations},
journal = {Int. Math. Res. Not.},
fjournal = {International Mathematics Research Notices},
year = {2005},
number = {37},
pages = {2263--2287},
issn = {1073-7928},
mrclass = {60A10 (15A18 15A52 33E17 60E05 82B31)},
mrnumber = {2181265},
mrreviewer = {Catherine Donati-Martin},
doi = {10.1155/IMRN.2005.2263},
url = {https://doi.org/10.1155/IMRN.2005.2263}
}
@Article{ dierickx.nourdin.ea:23:small,
author = {Dierickx, Gauthier and Nourdin, Ivan and Peccati, Giovanni
and Rossi, Maurizia},
title = {Small scale {CLT}s for the nodal length of monochromatic
waves},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {397},
year = {2023},
number = {1},
pages = {1--36},
issn = {0010-3616,1432-0916},
mrclass = {60G60 (33C55 58J50 60F05)},
mrnumber = {4538280},
mrreviewer = {Stephen\ Muirhead},
doi = {10.1007/s00220-022-04422-w},
url = {https://doi.org/10.1007/s00220-022-04422-w}
}
@Book{ diethelm:10:analysis,
author = {Diethelm, Kai},
title = {The analysis of fractional differential equations},
series = {Lecture Notes in Mathematics},
volume = {2004},
note = {An application-oriented exposition using differential
operators of Caputo type},
publisher = {Springer-Verlag, Berlin},
year = {2010},
pages = {viii+247},
isbn = {978-3-642-14573-5},
mrclass = {34-02 (26A33 33E12 34A08)},
mrnumber = {2680847},
mrreviewer = {Teodor M. Atanackovic},
doi = {10.1007/978-3-642-14574-2},
url = {https://doi.org/10.1007/978-3-642-14574-2}
}
@Book{ dieudonne:60:foundations,
author = {Dieudonn\'{e}, J.},
title = {Foundations of modern analysis},
series = {Pure and Applied Mathematics, Vol. X},
publisher = {Academic Press, New York-London},
year = {1960},
pages = {xiv+361},
mrclass = {26.00 (30.00)},
mrnumber = {120319},
mrreviewer = {J. L. Kelley}
}
@Article{ diez.maia.ea:25:mathematical,
title = {Mathematical research with GPT-5: a Malliavin-Stein
experiment},
author = {Charles-Philippe Diez and Luis da Maia and Ivan Nourdin},
year = {2025},
month = {September},
journal = {Preprint arXiv:2509.03065},
url = {http://arXiv.org/abs/2509.03065}
}
@Article{ digernes.varadarajan.ea:94:finite,
author = {Digernes, Trond and Varadarajan, V. S. and Varadhan, S. R.
S.},
title = {Finite approximations to quantum systems},
journal = {Rev. Math. Phys.},
fjournal = {Reviews in Mathematical Physics. A Journal for Both Review
and Original Research Papers in the Field of Mathematical
Physics},
volume = {6},
year = {1994},
number = {4},
pages = {621--648},
issn = {0129-055X,1793-6659},
mrclass = {81Q05 (81-08)},
mrnumber = {1290691},
doi = {10.1142/S0129055X94000213},
url = {https://doi.org/10.1142/S0129055X94000213}
}
@Article{ dijkstra:59:note,
title = {A note on two problems in connexion with graphs},
author = {Dijkstra, Edsger W},
journal = {Numerische Mathematik},
volume = {1},
number = {1},
pages = {269--271},
year = {1959}
}
@Article{ dikshit:68:absolute,
author = {Dikshit, H. P.},
title = {Absolute {$(N,\,p_{n})$} summability of a {F}ourier
series},
journal = {Rend. Mat. (6)},
fjournal = {Rendiconti di Matematica. Serie VI.},
volume = {1},
year = {1968},
pages = {319--330},
issn = {0034-4427},
mrclass = {42.20},
mrnumber = {241892},
mrreviewer = {S. M. Mazhar}
}
@InCollection{ dilcher:10:bernoulli,
author = {Dilcher, K.},
title = {Bernoulli and {E}uler polynomials},
booktitle = {N{IST} handbook of mathematical functions},
pages = {587--599},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {11B68 (33C45)},
mrnumber = {2655364}
}
@Book{ dimitrienko:11:nonlinear,
author = {Dimitrienko, Yuriy I.},
title = {Nonlinear continuum mechanics and large inelastic
deformations},
series = {Solid Mechanics and its Applications},
volume = {174},
publisher = {Springer, Dordrecht},
year = {2011},
pages = {xxiv+721},
isbn = {978-94-007-0033-8; 978-94-007-0034-5},
mrclass = {74-01},
mrnumber = {3025695},
mrreviewer = {Heng Xiao},
doi = {10.1007/978-94-007-0034-5},
url = {https://doi.org/10.1007/978-94-007-0034-5}
}
@Article{ dimitrov.matetski:21:characterization,
author = {Dimitrov, Evgeni and Matetski, Konstantin},
title = {Characterization of {B}rownian {G}ibbsian line ensembles},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {5},
pages = {2477--2529},
issn = {0091-1798},
mrclass = {82C22 (60J65)},
mrnumber = {4317710},
mrreviewer = {Utkir Rozikov},
doi = {10.1214/21-aop1513},
url = {https://doi.org/10.1214/21-aop1513}
}
@Article{ dimock.rajeev:04:multi-particle,
author = {Dimock, J. and Rajeev, S. G.},
title = {Multi-particle {S}chr\"{o}dinger operators with point
interactions in the plane},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {37},
year = {2004},
number = {39},
pages = {9157--9173},
issn = {0305-4470},
mrclass = {81Q05 (47N50)},
mrnumber = {2090290},
mrreviewer = {Igor Yurievich Popov},
doi = {10.1088/0305-4470/37/39/008},
url = {https://doi.org/10.1088/0305-4470/37/39/008}
}
@Article{ dimova.kaschiev.ea:98:numerical,
author = {Dimova, Stefka and Kaschiev, Michael and Koleva, Milena
and Vasileva, Daniela},
title = {Numerical analysis of radially nonsymmetric blow-up
solutions of a nonlinear parabolic problem},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {97},
year = {1998},
number = {1-2},
pages = {81--97},
issn = {0377-0427},
mrclass = {65M60 (35B40 35K55 65M06)},
mrnumber = {1651768},
mrreviewer = {Erwin Schechter},
doi = {10.1016/S0377-0427(98)00103-4},
url = {https://doi.org/10.1016/S0377-0427(98)00103-4}
}
@InCollection{ dimovski.kiryakova:98:obrechkoffs,
author = {Dimovski, I. H. and Kiryakova, V. S.},
title = {Obrechkoff's generalization of the {L}aplace and {M}eijer
transforms: origins and recent developments},
booktitle = {Transform methods \& special functions, {V}arna '96},
pages = {557--576},
publisher = {Bulgarian Acad. Sci., Sofia},
year = {1998},
mrclass = {01A60 (44-03 44A10)},
mrnumber = {1667778},
mrreviewer = {P. P. Teodorescu}
}
@Article{ ding.dubedat.ea:20:tightness,
author = {Ding, Jian and Dub\'edat, Julien and Dunlap, Alexander and
Falconet, Hugo},
title = {Tightness of {L}iouville first passage percolation for
{$\gamma \in (0,2)$}},
journal = {Publ. Math. Inst. Hautes \'Etudes Sci.},
fjournal = {Publications Math\'ematiques. Institut de Hautes \'Etudes
Scientifiques},
volume = {132},
year = {2020},
pages = {353--403},
issn = {0073-8301,1618-1913},
mrclass = {60K35 (60G15 83C45)},
mrnumber = {4179836},
doi = {10.1007/s10240-020-00121-1},
url = {https://doi.org/10.1007/s10240-020-00121-1}
}
@Article{ ding.dunlap:19:liouville,
author = {Ding, Jian and Dunlap, Alexander},
title = {Liouville first-passage percolation: subsequential scaling
limits at high temperature},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {2},
pages = {690--742},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (60G60 82B43)},
mrnumber = {3916932},
doi = {10.1214/18-AOP1267},
url = {https://doi.org/10.1214/18-AOP1267}
}
@Article{ ding.dunlap:20:subsequential,
author = {Ding, Jian and Dunlap, Alexander},
title = {Subsequential scaling limits for {L}iouville graph
distance},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {376},
year = {2020},
number = {2},
pages = {1499--1572},
issn = {0010-3616,1432-0916},
mrclass = {60G15 (60G60 60K35 83C45)},
mrnumber = {4103974},
doi = {10.1007/s00220-020-03684-6},
url = {https://doi.org/10.1007/s00220-020-03684-6}
}
@Article{ ding.gwynne:23:tightness,
author = {Ding, Jian and Gwynne, Ewain},
title = {Tightness of supercritical {L}iouville first passage
percolation},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {25},
year = {2023},
number = {10},
pages = {3833--3911},
issn = {1435-9855},
mrclass = {60D05 (60G60 60K35)},
mrnumber = {4634685},
doi = {10.4171/jems/1273},
url = {https://doi.org/10.4171/jems/1273}
}
@Article{ ding.gwynne:23:uniqueness,
author = {Ding, Jian and Gwynne, Ewain},
title = {Uniqueness of the critical and supercritical {L}iouville
quantum gravity metrics},
journal = {Proc. Lond. Math. Soc. (3)},
fjournal = {Proceedings of the London Mathematical Society. Third
Series},
volume = {126},
year = {2023},
number = {1},
pages = {216--333},
issn = {0024-6115},
mrclass = {60G60 (60D05 83C45)},
mrnumber = {4535021},
doi = {10.1112/plms.12492},
url = {https://doi.org/10.1112/plms.12492}
}
@Article{ ding.lee.ea:12:cover,
author = {Ding, Jian and Lee, James R. and Peres, Yuval},
title = {Cover times, blanket times, and majorizing measures},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {175},
year = {2012},
number = {3},
pages = {1409--1471},
issn = {0003-486X},
mrclass = {60G50 (05C81 60B05 60G15 60G40 60J10 60J55)},
mrnumber = {2912708},
mrreviewer = {Zakhar Kabluchko},
doi = {10.4007/annals.2012.175.3.8},
url = {https://doi.org/10.4007/annals.2012.175.3.8}
}
@Article{ ding.peng.ea:23:linear,
author = {Ding, Yujia and Peng, Qidi and Xiao, Yimin},
title = {Linear multifractional stable sheets in the broad sense:
existence and joint continuity of local times},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {29},
year = {2023},
number = {1},
pages = {785--814},
issn = {1350-7265,1573-9759},
mrclass = {60G52 (60G22 60G60 60J55)},
mrnumber = {4497267},
mrreviewer = {Zbigniew\ Michna},
doi = {10.3150/22-bej1479},
url = {https://doi.org/10.3150/22-bej1479}
}
@Article{ ding.roy.ea:17:convergence,
author = {Ding, Jian and Roy, Rishideep and Zeitouni, Ofer},
title = {Convergence of the centered maximum of log-correlated
{G}aussian fields},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {6A},
pages = {3886--3928},
issn = {0091-1798,2168-894X},
mrclass = {60G15 (60G60 60G70)},
mrnumber = {3729618},
mrreviewer = {Kirstin\ Strokorb},
doi = {10.1214/16-AOP1152},
url = {https://doi.org/10.1214/16-AOP1152}
}
@Article{ ding.song.ea:23:new,
author = {Ding, Jian and Song, Jian and Sun, Rongfeng},
title = {A new correlation inequality for {I}sing models with
external fields},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {186},
year = {2023},
number = {1-2},
pages = {477--492},
issn = {0178-8051},
mrclass = {82B20 (60K35 60K37 82B44)},
mrnumber = {4586225},
mrreviewer = {Eric O. Endo},
doi = {10.1007/s00440-022-01132-1},
url = {https://doi.org/10.1007/s00440-022-01132-1}
}
@Article{ ding.wang.ea:19:global,
author = {Ding, Mengyao and Wang, Wei and Zhou, Shulin},
title = {Global existence of solutions to a fully parabolic
chemotaxis system with singular sensitivity and logistic
source},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {49},
year = {2019},
pages = {286--311},
issn = {1468-1218},
mrclass = {92C17 (35A09 35K51 35K59 35Q92)},
mrnumber = {3936798},
doi = {10.1016/j.nonrwa.2019.03.009},
url = {https://doi.org/10.1016/j.nonrwa.2019.03.009}
}
@Article{ ding.xiao:06:natural,
author = {Ding, Xiaoqing and Xiao, Yimin},
title = {Natural boundary of random {D}irichlet series},
journal = {Ukra\"{i}n. Mat. Zh.},
fjournal = {Nats\={i}onal{\cprime}na Akadem\={i}ya Nauk Ukra\"{i}ni.
\={I}nstitut Matematiki. Ukra\"{i}ns{\cprime}kiu{i}
Matematichniu{i} Zhurnal},
volume = {58},
year = {2006},
number = {7},
pages = {997--1005},
issn = {1027-3190},
mrclass = {60G99 (30B20 30B50)},
mrnumber = {2316218},
mrreviewer = {Jia\ Rong\ Yu},
doi = {10.1007/s11253-006-0124-3},
url = {https://doi.org/10.1007/s11253-006-0124-3}
}
@Article{ ding.zeitouni.ea:18:on,
author = {Ding, Jian and Zeitouni, Ofer and Zhang, Fuxi},
title = {On the {L}iouville heat kernel for {$k$}-coarse {MBRW}},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {23},
year = {2018},
pages = {Paper No. 62, 20},
issn = {1083-6489},
mrclass = {60G60 (60G15)},
mrnumber = {3827969},
mrreviewer = {Pascal\ Maillard},
doi = {10.1214/18-EJP189},
url = {https://doi.org/10.1214/18-EJP189}
}
@Article{ ding.zeitouni.ea:19:heat,
author = {Ding, Jian and Zeitouni, Ofer and Zhang, Fuxi},
title = {Heat kernel for {L}iouville {B}rownian motion and
{L}iouville graph distance},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {371},
year = {2019},
number = {2},
pages = {561--618},
issn = {0010-3616,1432-0916},
mrclass = {60G15 (60F10 60J35 60K35 83C80)},
mrnumber = {4019914},
mrreviewer = {Max\ Fathi},
doi = {10.1007/s00220-019-03467-8},
url = {https://doi.org/10.1007/s00220-019-03467-8}
}
@Article{ ding.zeitouni:12:sharp,
author = {Ding, Jian and Zeitouni, Ofer},
title = {A sharp estimate for cover times on binary trees},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {5},
pages = {2117--2133},
issn = {0304-4149,1879-209X},
mrclass = {60G50 (60G15)},
mrnumber = {2921974},
mrreviewer = {Edward\ C.\ Waymire},
doi = {10.1016/j.spa.2012.03.008},
url = {https://doi.org/10.1016/j.spa.2012.03.008}
}
@Article{ ding.zeitouni:14:extreme,
author = {Ding, Jian and Zeitouni, Ofer},
title = {Extreme values for two-dimensional discrete {G}aussian
free field},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {4},
pages = {1480--1515},
issn = {0091-1798},
mrclass = {60G15 (60G60 60G70)},
mrnumber = {3262484},
doi = {10.1214/13-AOP859},
url = {https://doi.org/10.1214/13-AOP859}
}
@Article{ dinner.mattingly.ea:18:trajectory,
author = {Dinner, Aaron R. and Mattingly, Jonathan C. and Tempkin,
Jeremy O. B. and Van Koten, Brian and Weare, Jonathan},
title = {Trajectory stratification of stochastic dynamics},
journal = {SIAM Rev.},
fjournal = {SIAM Review},
volume = {60},
year = {2018},
number = {4},
pages = {909--938},
issn = {0036-1445,1095-7200},
mrclass = {82C05 (65C05 65C40 68U20 82C31 82C80)},
mrnumber = {3873022},
doi = {10.1137/16M1104329},
url = {https://doi.org/10.1137/16M1104329}
}
@Article{ diperna.lions:89:on,
author = {DiPerna, R. J. and Lions, P.-L.},
title = {On the {C}auchy problem for {B}oltzmann equations: global
existence and weak stability},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {130},
year = {1989},
number = {2},
pages = {321--366},
issn = {0003-486X},
mrclass = {82A40 (35Q20 45K05 76P05)},
mrnumber = {1014927},
mrreviewer = {Seiji Ukai},
doi = {10.2307/1971423},
url = {https://doi.org/10.2307/1971423}
}
@Article{ diperna.lions:89:ordinary,
author = {DiPerna, R. J. and Lions, P.-L.},
title = {Ordinary differential equations, transport theory and
{S}obolev spaces},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {98},
year = {1989},
number = {3},
pages = {511--547},
issn = {0020-9910},
mrclass = {34A10 (34D20 35Q20 58D25 82A70)},
mrnumber = {1022305},
mrreviewer = {B. G. Pachpatte},
doi = {10.1007/BF01393835},
url = {https://doi.org/10.1007/BF01393835}
}
@Article{ dirr.yip:06:pinning,
author = {Dirr, N. and Yip, N. K.},
title = {Pinning and de-pinning phenomena in front propagation in
heterogeneous media},
journal = {Interfaces Free Bound.},
fjournal = {Interfaces and Free Boundaries. Mathematical Analysis,
Computation and Applications},
volume = {8},
year = {2006},
number = {1},
pages = {79--109},
issn = {1463-9963},
mrclass = {35K55 (35B10 35K57)},
mrnumber = {2231253},
doi = {10.4171/IFB/136},
url = {https://doi.org/10.4171/IFB/136}
}
@Article{ disser.hackfeld.ea:19:tight,
author = {Yann Disser and Jan Hackfeld and Max Klimm},
title = {Tight Bounds for Undirected Graph Exploration with Pebbles
and Multiple Agents},
journal = {J. {ACM}},
volume = {66},
number = {6},
pages = {40:1--40:41},
year = {2019}
}
@Article{ distler.kawai:89:conformal,
author = {Distler, Jacques and Kawai, Hikaru},
title = {Conformal field theory and {$2$}{D} quantum gravity},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {321},
year = {1989},
number = {2},
pages = {509--527},
issn = {0550-3213},
mrclass = {81E99 (81E40 83C45)},
mrnumber = {1005268},
mrreviewer = {Tsou Sheung Tsun},
doi = {10.1016/0550-3213(89)90354-4},
url = {https://doi.org/10.1016/0550-3213(89)90354-4}
}
@Article{ dittrich.gartner:91:central,
author = {Dittrich, Peter and G\"{a}rtner, J\"{u}rgen},
title = {A central limit theorem for the weakly asymmetric simple
exclusion process},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {151},
year = {1991},
pages = {75--93},
issn = {0025-584X},
mrclass = {60K35},
mrnumber = {1121199},
mrreviewer = {T. M. Liggett},
doi = {10.1002/mana.19911510107},
url = {https://doi.org/10.1002/mana.19911510107}
}
@Article{ dittrich:90:travelling,
author = {Dittrich, Peter},
title = {Travelling waves and long-time behaviour of the weakly
asymmetric exclusion process},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {86},
year = {1990},
number = {4},
pages = {443--455},
issn = {0178-8051},
mrclass = {60K35 (35Q53 76A02 76D33)},
mrnumber = {1074738},
mrreviewer = {Pablo A. Ferrari},
doi = {10.1007/BF01198168},
url = {https://doi.org/10.1007/BF01198168}
}
@Article{ djellout.guillin.ea:04:transportation,
author = {Djellout, H. and Guillin, A. and Wu, L.},
title = {Transportation cost-information inequalities and
applications to random dynamical systems and diffusions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {3B},
pages = {2702--2732},
issn = {0091-1798},
mrclass = {60E15 (28A35 28C20 60J60)},
mrnumber = {2078555},
mrreviewer = {Wolfgang K\"{o}nig},
doi = {10.1214/009117904000000531},
url = {https://doi.org/10.1214/009117904000000531}
}
@Article{ dkhil:04:singular,
author = {Dkhil, Fathi},
title = {Singular limit of a degenerate chemotaxis-{F}isher
equation},
journal = {Hiroshima Math. J.},
fjournal = {Hiroshima Mathematical Journal},
volume = {34},
year = {2004},
number = {1},
pages = {101--115},
issn = {0018-2079},
mrclass = {35K57 (35K50 35K65 92C17)},
mrnumber = {2046455},
mrreviewer = {Joseph So},
url = {http://projecteuclid.org/euclid.hmj/1150998073}
}
@InCollection{ dobrev.kralovic.ea:12:online,
title = {Online graph exploration with advice},
author = {Dobrev, Stefan and Kr{\'a}lovi{\v{c}}, Rastislav and
Markou, Euripides},
booktitle = {Structural Information and Communication Complexity},
pages = {267--278},
year = {2012},
publisher = {Springer}
}
@InProceedings{ dobrev.kralovic.ea:12:online*1,
author = {Stefan Dobrev and Rastislav Kr{\'{a}}lovic and Euripides
Markou},
title = {Online Graph Exploration with Advice},
booktitle = {{SIROCCO}},
year = {2012},
volume = {7355},
series = {Lecture Notes in Computer Science},
publisher = {Springer},
pages = {267--278}
}
@Article{ dobrusin:79:vlasov,
author = {Dobru\v{s}in, R. L.},
title = {Vlasov equations},
journal = {Funktsional. Anal. i Prilozhen.},
fjournal = {Akademiya Nauk SSSR. Funktsional{\cprime}ny\u{\i} Analiz i
ego Prilozheniya},
volume = {13},
year = {1979},
number = {2},
pages = {48--58, 96},
issn = {0374-1990},
mrclass = {82A05 (34A10)},
mrnumber = {541637}
}
@Article{ doering.mueller.ea:03:interacting,
author = {Doering, Charles R. and Mueller, Carl and Smereka, Peter},
title = {Interacting particles, the stochastic
{F}isher-{K}olmogorov-{P}etrovsky-{P}iscounov equation, and
duality},
note = {Stochastic systems: from randomness to complexity (Erice,
2002)},
journal = {Phys. A},
fjournal = {Physica A. Statistical Mechanics and its Applications},
volume = {325},
year = {2003},
number = {1-2},
pages = {243--259},
issn = {0378-4371},
mrclass = {82C31 (60H40)},
mrnumber = {2014157},
doi = {10.1016/S0378-4371(03)00203-6},
url = {https://doi.org/10.1016/S0378-4371(03)00203-6}
}
@Book{ doetsch:74:introduction,
author = {Doetsch, Gustav},
title = {Introduction to the theory and application of the
{L}aplace transformation},
note = {Translated from the second German edition by Walter
Nader},
publisher = {Springer-Verlag, New York-Heidelberg},
year = {1974},
pages = {vii+326},
mrclass = {44A10},
mrnumber = {0344810}
}
@Book{ doi.edwards:86:theory,
title = {The theory of polymer dynamics},
author = {Doi, Masao and Edwards, Sam F},
year = {1986},
isbn = {198520336, 9780198520337},
pages = {391},
publisher = {Oxford university press}
}
@Article{ dolak.hillen:03:cattaneo,
author = {Dolak, Y. and Hillen, T.},
title = {Cattaneo models for chemosensitive movement: numerical
solution and pattern formation},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {46},
year = {2003},
number = {2},
pages = {153--170},
issn = {0303-6812},
mrclass = {92C15 (65M06 92E20)},
mrnumber = {1963070},
doi = {10.1007/s00285-002-0173-7},
url = {https://doi.org/10.1007/s00285-002-0173-7}
}
@Article{ dolak.schmeiser:05:keller-segel,
author = {Dolak, Yasmin and Schmeiser, Christian},
title = {The {K}eller-{S}egel model with logistic sensitivity
function and small diffusivity},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {66},
year = {2005},
number = {1},
pages = {286--308},
issn = {0036-1399},
mrclass = {35K57 (35B25 35B40 92C17)},
mrnumber = {2179753},
mrreviewer = {Dirk Horstmann},
doi = {10.1137/040612841},
url = {https://doi.org/10.1137/040612841}
}
@Article{ dold.galaktionov.ea:98:rate,
author = {Dold, J. W. and Galaktionov, V. A. and Lacey, A. A. and
V\'{a}zquez, J. L.},
title = {Rate of approach to a singular steady state in quasilinear
reaction-diffusion equations},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie IV},
volume = {26},
year = {1998},
number = {4},
pages = {663--687},
issn = {0391-173X},
mrclass = {35K57 (35K65)},
mrnumber = {1648562},
mrreviewer = {Andreas Unterreiter},
url = {http://www.numdam.org/item?id=ASNSP_1998_4_26_4_663_0}
}
@Book{ dollard.friedman:79:product,
author = {Dollard, John D. and Friedman, Charles N.},
title = {Product integration with applications to differential
equations},
series = {Encyclopedia of Mathematics and its Applications},
volume = {10},
note = {With a foreword by Felix E. Browder, With an appendix by
P. R. Masani},
publisher = {Addison-Wesley Publishing Co., Reading, MA},
year = {1979},
pages = {xxii+253},
isbn = {0-201-13509-4},
mrclass = {34-02 (34A10 81C99)},
mrnumber = {552941},
mrreviewer = {James V. Herod}
}
@Book{ domb.green:74:phase,
title = {Phase transitions and critical phenomena. {V}ol. 3:
{S}eries expansions for lattice models},
author = {Domb, C. and Green, M. S.},
publisher = {Academic Press, London-New York},
year = {1974},
pages = {xviii+694},
mrclass = {82.00},
mrnumber = {353911}
}
@Book{ domb.green:76:phase,
title = {Phase transitions and critical phenomena. {V}ol. 5a},
author = {Domb, C. and Green, M. S.},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
London-New York},
year = {1976},
pages = {xvii+420},
isbn = {0-12-220305-4},
mrclass = {80.47 (82.47)},
mrnumber = {479060}
}
@Article{ domb.joyce:72:cluster,
author = {C Domb and G S Joyce},
title = {Cluster expansion for a polymer chain},
journal = {J. Phys. C: Solid State Phys.},
fjournal = {Journal of Physics C: Solid State Physics},
doi = {10.1088/0022-3719/5/9/009},
url = {https://dx.doi.org/10.1088/0022-3719/5/9/009},
year = {1972},
month = {may},
volume = {5},
number = {9},
pages = {956}
}
@Article{ domingo..ea:17:boundedness,
author = {Domingo, Dario and d'Onofrio, Alberto and Flandoli,
Franco},
title = {Boundedness vs unboundedness of a noise linked to
{T}sallis q-statistics: the role of the overdamped
approximation},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {58},
year = {2017},
number = {3},
pages = {033301, 14},
issn = {0022-2488,1089-7658},
mrclass = {60H10 (60H30)},
mrnumber = {3614938},
mrreviewer = {Hao\ Ge},
doi = {10.1063/1.4977081},
url = {https://doi.org/10.1063/1.4977081}
}
@Article{ domingo..ea:20:properties,
author = {Domingo, Dario and d'Onofrio, Alberto and Flandoli,
Franco},
title = {Properties of bounded stochastic processes employed in
biophysics},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {38},
year = {2020},
number = {2},
pages = {277--306},
issn = {0736-2994,1532-9356},
mrclass = {60H30 (60H10 92C05)},
mrnumber = {4060521},
mrreviewer = {Etienne\ Tanr\'{e}},
doi = {10.1080/07362994.2019.1694416},
url = {https://doi.org/10.1080/07362994.2019.1694416}
}
@Article{ donati-martin.nualart:94:markov,
author = {Donati-Martin, C. and Nualart, D.},
title = {Markov property for elliptic stochastic partial
differential equations},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {46},
year = {1994},
number = {1-2},
pages = {107--115},
issn = {1045-1129},
mrclass = {60H15 (60J25)},
mrnumber = {1787169},
doi = {10.1080/17442509408833872},
url = {https://doi.org/10.1080/17442509408833872}
}
@Article{ donati-martin.pardoux:93:white,
author = {Donati-Martin, C. and Pardoux, \'{E}.},
title = {White noise driven {SPDE}s with reflection},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {95},
year = {1993},
number = {1},
pages = {1--24},
issn = {0178-8051},
mrclass = {60H15 (35R45 35R60)},
mrnumber = {1207304},
mrreviewer = {Ralf Manthey},
doi = {10.1007/BF01197335},
url = {https://doi.org/10.1007/BF01197335}
}
@Article{ dong.li.ea:12:stationary,
author = {Dong, Zhao and Li, Wenbo V. and Zhai, Jianliang},
title = {Stationary weak solutions for stochastic 3{D}
{N}avier-{S}tokes equations with {L}\'{e}vy noise},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {12},
year = {2012},
number = {1},
pages = {1150006, 22},
issn = {0219-4937,1793-6799},
mrclass = {60H15 (35D30 35Q30 35R60)},
mrnumber = {2887918},
mrreviewer = {Jan\ I.\ Seidler},
doi = {10.1142/S0219493712003559},
url = {https://doi.org/10.1142/S0219493712003559}
}
@Article{ dong.peszat.ea:16:on,
author = {Dong, Zhao and Peszat, Szymon and Xu, Lihu},
title = {On some smoothening effects of the transition semigroup of
a {L}\'{e}vy process},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {434},
year = {2016},
number = {2},
pages = {1566--1580},
issn = {0022-247X,1096-0813},
mrclass = {60J75 (47Dxx 60J35)},
mrnumber = {3415739},
mrreviewer = {Fangjun\ Xu},
doi = {10.1016/j.jmaa.2015.10.003},
url = {https://doi.org/10.1016/j.jmaa.2015.10.003}
}
@Article{ dong.wu.ea:20:large,
author = {Dong, Zhao and Wu, Jiang-Lun and Zhang, Rangrang and
Zhang, Tusheng},
title = {Large deviation principles for first-order scalar
conservation laws with stochastic forcing},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {30},
year = {2020},
number = {1},
pages = {324--367},
issn = {1050-5164},
mrclass = {60F10 (35L03 35L65 35R60 60H15)},
mrnumber = {4068313},
mrreviewer = {Leila Setayeshgar},
doi = {10.1214/19-AAP1503},
url = {https://doi.org/10.1214/19-AAP1503}
}
@Article{ dong.xiong.ea:17:moderate,
author = {Dong, Zhao and Xiong, Jie and Zhai, Jianliang and Zhang,
Tusheng},
title = {A moderate deviation principle for 2-{D} stochastic
{N}avier-{S}tokes equations driven by multiplicative
{L}\'{e}vy noises},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {272},
year = {2017},
number = {1},
pages = {227--254},
issn = {0022-1236},
mrclass = {60H15 (35Q30 35R60 37L55)},
mrnumber = {3567505},
mrreviewer = {Gabriel Deugoue},
doi = {10.1016/j.jfa.2016.10.012},
url = {https://doi.org/10.1016/j.jfa.2016.10.012}
}
@Article{ dong.xu.ea:09:invariant,
author = {Dong, Zhao and Xu, Tiange and Zhang, Tusheng},
title = {Invariant measures for stochastic evolution equations of
pure jump type},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {2},
pages = {410--427},
issn = {0304-4149},
mrclass = {60J35 (60J75)},
mrnumber = {2493997},
doi = {10.1016/j.spa.2008.03.002},
url = {https://doi.org/10.1016/j.spa.2008.03.002}
}
@Article{ dong.zhang.ea:20:large,
author = {Dong, Zhao and Zhang, Rangrang and Zhang, Tusheng},
title = {Large deviations for quasilinear parabolic stochastic
partial differential equations},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {53},
year = {2020},
number = {1},
pages = {183--202},
issn = {0926-2601},
mrclass = {60H15 (35K59 35R60 60F10)},
mrnumber = {4117985},
doi = {10.1007/s11118-019-09763-1},
url = {https://doi.org/10.1007/s11118-019-09763-1}
}
@Book{ donoghue:69:distributions,
author = {Donoghue, Jr., William F.},
title = {Distributions and {F}ourier transforms},
series = {Pure and Applied Mathematics},
volume = {32},
publisher = {Academic Press, New York},
year = {1969},
pages = {viii+315},
mrclass = {42-01 (28-01 30-01 60-01)},
mrnumber = {3363413}
}
@Article{ donoho.stark:89:uncertainty,
author = {Donoho, David L. and Stark, Philip B.},
title = {Uncertainty principles and signal recovery},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {49},
year = {1989},
number = {3},
pages = {906--931},
issn = {0036-1399},
mrclass = {42A05 (94A11)},
mrnumber = {997928},
mrreviewer = {A. Bultheel},
doi = {10.1137/0149053},
url = {https://doi.org/10.1137/0149053}
}
@Article{ donsker.varadhan:75:asymptotic,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {Asymptotic evaluation of certain {M}arkov process
expectations for large time. {I}. {II}},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {28},
year = {1975},
pages = {1--47; ibid. 28 (1975), 279--301},
issn = {0010-3640},
mrclass = {60J25 (60J65)},
mrnumber = {386024},
mrreviewer = {D. W. Stroock},
doi = {10.1002/cpa.3160280102},
url = {https://doi.org/10.1002/cpa.3160280102}
}
@InProceedings{ donsker.varadhan:75:asymptotic*1,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {Asymptotic evaluation of certain {W}iener integrals for
large time},
booktitle = {Functional integration and its applications ({P}roc.
{I}nternat. {C}onf., {L}ondon, 1974)},
pages = {15--33},
year = {1975},
mrclass = {28A40 (60J65)},
mrnumber = {0486395},
mrreviewer = {Tack-Wang Lee}
}
@Article{ donsker.varadhan:75:asymptotics,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {Asymptotics for the {W}iener sausage},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {28},
year = {1975},
number = {4},
pages = {525--565},
issn = {0010-3640},
mrclass = {60J65},
mrnumber = {397901},
mrreviewer = {Priscilla Greenwood},
doi = {10.1002/cpa.3160280406},
url = {https://doi.org/10.1002/cpa.3160280406}
}
@Article{ donsker.varadhan:75:on,
author = {Donsker, Monroe D. and Varadhan, S. R. S.},
title = {On a variational formula for the principal eigenvalue for
operators with maximum principle},
journal = {Proc. Nat. Acad. Sci. U.S.A.},
fjournal = {Proceedings of the National Academy of Sciences of the
United States of America},
volume = {72},
year = {1975},
pages = {780--783},
issn = {0027-8424},
mrclass = {49G05 (47D05 60J35)},
mrnumber = {361998},
mrreviewer = {L.\ Janos},
doi = {10.1073/pnas.72.3.780},
url = {https://doi.org/10.1073/pnas.72.3.780}
}
@Article{ donsker.varadhan:76:asymptotic,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {Asymptotic evaluation of certain {M}arkov process
expectations for large time. {III}},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {29},
year = {1976},
number = {4},
pages = {389--461},
issn = {0010-3640},
mrclass = {60J25 (60G15)},
mrnumber = {428471},
mrreviewer = {D. W. Stroock},
doi = {10.1002/cpa.3160290405},
url = {https://doi.org/10.1002/cpa.3160290405}
}
@Article{ donsker.varadhan:76:on,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {On the principal eigenvalue of second-order elliptic
differential operators},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {29},
year = {1976},
number = {6},
pages = {595--621},
issn = {0010-3640,1097-0312},
mrclass = {35P15},
mrnumber = {425380},
mrreviewer = {H.\ F.\ Weinberger},
doi = {10.1002/cpa.3160290606},
url = {https://doi.org/10.1002/cpa.3160290606}
}
@Article{ donsker.varadhan:77:on,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {On laws of the iterated logarithm for local times},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {30},
year = {1977},
number = {6},
pages = {707--753},
issn = {0010-3640},
mrclass = {60J55 (60F15)},
mrnumber = {461682},
mrreviewer = {H. Kesten},
doi = {10.1002/cpa.3160300603},
url = {https://doi.org/10.1002/cpa.3160300603}
}
@Article{ donsker.varadhan:79:on,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {On the number of distinct sites visited by a random walk},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {32},
year = {1979},
number = {6},
pages = {721--747},
issn = {0010-3640,1097-0312},
mrclass = {60J15 (60F10)},
mrnumber = {539157},
mrreviewer = {W.\ E.\ Pruitt},
doi = {10.1002/cpa.3160320602},
url = {https://doi.org/10.1002/cpa.3160320602}
}
@Article{ donsker.varadhan:83:asymptotic,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {Asymptotic evaluation of certain {M}arkov process
expectations for large time. {IV}},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {36},
year = {1983},
number = {2},
pages = {183--212},
issn = {0010-3640,1097-0312},
mrclass = {60J25},
mrnumber = {690656},
mrreviewer = {D.\ W.\ Stroock},
doi = {10.1002/cpa.3160360204},
url = {https://doi.org/10.1002/cpa.3160360204}
}
@Article{ donsker.varadhan:83:asymptotics,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {Asymptotics for the polaron},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {36},
year = {1983},
number = {4},
pages = {505--528},
issn = {0010-3640},
mrclass = {82A05 (60F10 82A31)},
mrnumber = {709647},
mrreviewer = {Ronald F. Fox},
doi = {10.1002/cpa.3160360408},
url = {https://doi.org/10.1002/cpa.3160360408}
}
@Article{ donsker.varadhan:85:large,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {Large deviations for stationary {G}aussian processes},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {97},
year = {1985},
number = {1-2},
pages = {187--210},
issn = {0010-3616,1432-0916},
mrclass = {60G15 (60F10)},
mrnumber = {782966},
mrreviewer = {Sujit\ K.\ Basu},
url = {http://projecteuclid.org/euclid.cmp/1103941986}
}
@Article{ donsker.varadhan:89:large,
author = {Donsker, M. D. and Varadhan, S. R. S.},
title = {Large deviations from a hydrodynamic scaling limit},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {42},
year = {1989},
number = {3},
pages = {243--270},
issn = {0010-3640,1097-0312},
mrclass = {60K35 (60F10 82A31)},
mrnumber = {982350},
mrreviewer = {Francis\ Comets},
doi = {10.1002/cpa.3160420303},
url = {https://doi.org/10.1002/cpa.3160420303}
}
@Book{ doob:53:stochastic,
author = {Doob, J. L.},
title = {Stochastic processes},
publisher = {John Wiley \& Sons, Inc., New York; Chapman \& Hall, Ltd.,
London},
year = {1953},
pages = {viii+654},
mrclass = {60.0X},
mrnumber = {0058896},
mrreviewer = {D. G. Kendall}
}
@Book{ doob:90:stochastic,
author = {Doob, J. L.},
title = {Stochastic processes},
series = {Wiley Classics Library},
note = {Reprint of the 1953 original, A Wiley-Interscience
Publication},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1990},
pages = {viii+654},
isbn = {0-471-52369-0},
mrclass = {60-02 (01A75 60-01 60Gxx 60Jxx)},
mrnumber = {1038526}
}
@Article{ dore.venni:87:on,
author = {Dore, Giovanni and Venni, Alberto},
title = {On the closedness of the sum of two closed operators},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {196},
year = {1987},
number = {2},
pages = {189--201},
issn = {0025-5874},
mrclass = {47D05 (47A60)},
mrnumber = {910825},
mrreviewer = {S. Kantorovitz},
doi = {10.1007/BF01163654},
url = {https://doi.org/10.1007/BF01163654}
}
@Article{ doring.klenke.ea:17:finite,
author = {D\"{o}ring, Leif and Klenke, Achim and Mytnik, Leonid},
title = {Finite system scheme for mutually catalytic branching with
infinite branching rate},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {27},
year = {2017},
number = {5},
pages = {3113--3152},
issn = {1050-5164},
mrclass = {60K35 (60F05 60H20 60J60 60J75 60J80)},
mrnumber = {3719954},
mrreviewer = {Daniela Bertacchi},
doi = {10.1214/17-AAP1277},
url = {https://doi.org/10.1214/17-AAP1277}
}
@Article{ doring.mytnik:12:mutually,
author = {D\"{o}ring, Leif and Mytnik, Leonid},
title = {Mutually catalytic branching processes and voter processes
with strength of opinion},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {9},
year = {2012},
pages = {1--51},
mrclass = {60J80 (60H15 60J68)},
mrnumber = {2876839},
mrreviewer = {Jos\'{e} Villa-Morales}
}
@InCollection{ doring.mytnik:13:longtime,
author = {D\"{o}ring, Leif and Mytnik, Leonid},
title = {Longtime behavior for mutually catalytic branching with
negative correlations},
booktitle = {Advances in superprocesses and nonlinear {PDE}s},
series = {Springer Proc. Math. Stat.},
volume = {38},
pages = {93--111},
publisher = {Springer, New York},
year = {2013},
mrclass = {60J80 (60J85 60K35)},
mrnumber = {3111225},
mrreviewer = {Siva R. Athreya},
doi = {10.1007/978-1-4614-6240-8\_6},
url = {https://doi.org/10.1007/978-1-4614-6240-8_6}
}
@Article{ dorlas:93:orthogonality,
author = {Dorlas, T. C.},
title = {Orthogonality and completeness of the {B}ethe ansatz
eigenstates of the nonlinear {S}chroedinger model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {154},
year = {1993},
number = {2},
pages = {347--376},
issn = {0010-3616},
mrclass = {82B10 (81U99 81V70)},
mrnumber = {1224083},
mrreviewer = {Yu Kui Zhou},
url = {http://projecteuclid.org/euclid.cmp/1104252974}
}
@Article{ dotsenko.klumov:10:bethe,
author = {Dotsenko, Victor and Klumov, Boris},
title = {Bethe ansatz solution for one-dimensional directed
polymers in random media},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2010},
number = {3},
pages = {P03022, 42},
mrclass = {82B44 (82B10 82B23 82D60)},
mrnumber = {2629606},
mrreviewer = {Aernout C. D. van Enter},
doi = {10.1088/1742-5468/2010/03/p03022},
url = {https://doi.org/10.1088/1742-5468/2010/03/p03022}
}
@Article{ dotsenko:12:bethe,
author = {Dotsenko, Victor},
title = {Bethe ansatz replica derivation of the {GOE}
{T}racy-{W}idom distribution in one-dimensional directed
polymers with free endpoints},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2012},
number = {11},
pages = {P11014, 18},
mrclass = {82B23 (82D60)},
mrnumber = {3023670},
doi = {10.1088/1742-5468/2012/11/p11014},
url = {https://doi.org/10.1088/1742-5468/2012/11/p11014}
}
@Article{ dotsenko:13:distribution,
author = {Dotsenko, Victor},
title = {Distribution function of the endpoint fluctuations of
one-dimensional directed polymers in a random potential},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2013},
number = {2},
pages = {P02012, 20},
mrclass = {82B44 (82B23 82D60)},
mrnumber = {3041935},
doi = {10.1088/1742-5468/2013/02/p02012},
url = {https://doi.org/10.1088/1742-5468/2013/02/p02012}
}
@Article{ douissi.es-sebaiy.ea:22:berry-esseen,
author = {Douissi, Soukaina and Es-Sebaiy, Khalifa and Kerchev,
George and Nourdin, Ivan},
title = {Berry-{E}sseen bounds of second moment estimators for
{G}aussian processes observed at high frequency},
journal = {Electron. J. Stat.},
fjournal = {Electronic Journal of Statistics},
volume = {16},
year = {2022},
number = {1},
pages = {636--670},
mrclass = {62F05 (60G10 60G15 62F12 62M09)},
mrnumber = {4361751},
doi = {10.1214/21-ejs1967},
url = {https://doi.org/10.1214/21-ejs1967}
}
@Article{ dovbysh.sudakov:82:gram-de,
author = {Dovbysh, L. N. and Sudakov, V. N.},
title = {Gram-de {F}inetti matrices},
note = {Problems of the theory of probability distribution, VII},
journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.
(LOMI)},
fjournal = {Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya
Matematicheskogo Instituta imeni V. A. Steklova Akademii
Nauk SSSR (LOMI)},
volume = {119},
year = {1982},
pages = {77--86, 238, 244--245},
issn = {0206-8540},
mrclass = {60B11 (60G99)},
mrnumber = {666087},
mrreviewer = {Ya. Kh. Kuchkarov}
}
@Article{ dovidio.nane:14:time,
author = {D'Ovidio, Mirko and Nane, Erkan},
title = {Time dependent random fields on spherical non-homogeneous
surfaces},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {6},
pages = {2098--2131},
issn = {0304-4149},
mrclass = {60G60},
mrnumber = {3188350},
mrreviewer = {Renjie Feng},
doi = {10.1016/j.spa.2014.02.001},
url = {https://doi.org/10.1016/j.spa.2014.02.001}
}
@Article{ dovidio.nane:16:fractional,
author = {D'Ovidio, Mirko and Nane, Erkan},
title = {Fractional {C}auchy problems on compact manifolds},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {34},
year = {2016},
number = {2},
pages = {232--257},
issn = {0736-2994},
mrclass = {60G60 (60G22 60H99)},
mrnumber = {3462135},
doi = {10.1080/07362994.2015.1116997},
url = {https://doi.org/10.1080/07362994.2015.1116997}
}
@Article{ dozier.silverstein:07:on,
author = {Dozier, R. Brent and Silverstein, Jack W.},
title = {On the empirical distribution of eigenvalues of large
dimensional information-plus-noise-type matrices},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {98},
year = {2007},
number = {4},
pages = {678--694},
issn = {0047-259X},
mrclass = {60F15 (62H10)},
mrnumber = {2322123},
doi = {10.1016/j.jmva.2006.09.006},
url = {https://doi.org/10.1016/j.jmva.2006.09.006}
}
@Article{ drivas.dunlap.ea:23:invariant,
author = {Drivas, Theodore D. and Dunlap, Alexander and Graham, Cole
and La, Joonhyun and Ryzhik, Lenya},
title = {Invariant measures for stochastic conservation laws on the
line},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {36},
year = {2023},
number = {9},
pages = {4553--4584},
issn = {0951-7715,1361-6544},
mrclass = {37L40 (35R60 37L55 60H15)},
mrnumber = {4619242},
mrreviewer = {Xing\ Cheng},
doi = {10.1088/1361-6544/acdb3a},
url = {https://doi.org/10.1088/1361-6544/acdb3a}
}
@InCollection{ driver.hu:96:on,
author = {Driver, Bruce K. and Hu, Yaozhong},
title = {On heat kernel logarithmic {S}obolev inequalities},
booktitle = {Stochastic analysis and applications ({P}owys, 1995)},
pages = {189--200},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1996},
mrclass = {58G11 (46E35 58G32 60H07 60J60)},
mrnumber = {1453132},
mrreviewer = {Elton Pei Hsu}
}
@Article{ drosinou.kavallaris.ea:21:study,
author = {Drosinou, Ourania and Kavallaris, Nikos I. and
Nikolopoulos, Christos V.},
title = {A study of a nonlocal problem with {R}obin boundary
conditions arising from technology},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {44},
year = {2021},
number = {13},
pages = {10084--10120},
issn = {0170-4214},
mrclass = {35K55 (35J60 74G55 74H35 74K15)},
mrnumber = {4284832},
doi = {10.1002/mma.7393},
url = {https://doi.org/10.1002/mma.7393}
}
@Article{ drosinou.kavallaris.ea:23:impacts,
author = {Drosinou, Ourania and Kavallaris, Nikos I. and
Nikolopoulos, Christos V.},
title = {Impacts of noise on quenching of some models arising in
{MEMS} technology},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {34},
year = {2023},
number = {6},
pages = {1209--1241},
issn = {0956-7925},
mrclass = {60H15 (35K61 35R60 65M08)},
mrnumber = {4664835},
doi = {10.1017/s0956792522000262},
url = {https://doi.org/10.1017/s0956792522000262}
}
@Article{ du.hsu:10:on,
author = {Du, Yihong and Hsu, Sze-Bi},
title = {On a nonlocal reaction-diffusion problem arising from the
modeling of phytoplankton growth},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {42},
year = {2010},
number = {3},
pages = {1305--1333},
issn = {0036-1410},
mrclass = {35K51 (35A01 35K57 35Q92 92D40)},
mrnumber = {2653252},
mrreviewer = {Antonio Su\'{a}rez Fern\'{a}ndez},
doi = {10.1137/090775105},
url = {https://doi.org/10.1137/090775105}
}
@Article{ du.li.ea:22:propagation,
author = {Du, Li-Jun and Li, Wan-Tong and Shen, Wenxian},
title = {Propagation phenomena for time-space periodic monotone
semiflows and applications to cooperative systems in
multi-dimensional media},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {282},
year = {2022},
number = {9},
pages = {Paper No. 109415, 59},
issn = {0022-1236,1096-0783},
mrclass = {35C07 (35K57 37C65 37N25 92D25)},
mrnumber = {4379905},
doi = {10.1016/j.jfa.2022.109415},
url = {https://doi.org/10.1016/j.jfa.2022.109415}
}
@Article{ du.miao.ea:15:packing,
author = {Du, Yali and Miao, Junjie and Wu, Dongsheng and Xiao,
Yimin},
title = {Packing dimensions of the images of {G}aussian random
fields},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {106},
year = {2015},
pages = {209--217},
issn = {0167-7152,1879-2103},
mrclass = {60G60 (28A78 60G15 60G17)},
mrnumber = {3389994},
mrreviewer = {Ren\'{e}\ L.\ Schilling},
doi = {10.1016/j.spl.2015.07.020},
url = {https://doi.org/10.1016/j.spl.2015.07.020}
}
@Book{ duan.wang:14:effective,
author = {Duan, Jinqiao and Wang, Wei},
title = {Effective dynamics of stochastic partial differential
equations},
series = {Elsevier Insights},
publisher = {Elsevier, Amsterdam},
year = {2014},
pages = {xii+270},
isbn = {978-0-12-800882-9},
mrclass = {60H15 (35R60)},
mrnumber = {3289240},
mrreviewer = {Paul Andr\'{e} Razafimandimby}
}
@Article{ dubedat:05:sle-,
author = {Dub\'{e}dat, Julien},
title = {{${\rm SLE}(\kappa,\rho)$} martingales and duality},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {1},
pages = {223--243},
issn = {0091-1798},
mrclass = {60K35 (60G17 82B27)},
mrnumber = {2118865},
mrreviewer = {Thomas Polaski},
doi = {10.1214/009117904000000793},
url = {https://doi.org/10.1214/009117904000000793}
}
@Article{ dubedat:06:euler,
author = {Dub\'{e}dat, Julien},
title = {Euler integrals for commuting {SLE}s},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {123},
year = {2006},
number = {6},
pages = {1183--1218},
issn = {0022-4715},
mrclass = {82B43 (60K35 82B41)},
mrnumber = {2253875},
mrreviewer = {Jos\'{e} A. Trujillo Ferreras},
doi = {10.1007/s10955-006-9132-9},
url = {https://doi.org/10.1007/s10955-006-9132-9}
}
@Article{ dubedat:06:excursion,
author = {Dub\'{e}dat, Julien},
title = {Excursion decompositions for {SLE} and {W}atts' crossing
formula},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {134},
year = {2006},
number = {3},
pages = {453--488},
issn = {0178-8051},
mrclass = {60G17 (60J65)},
mrnumber = {2226888},
mrreviewer = {Robert Otto Bauer},
doi = {10.1007/s00440-005-0446-3},
url = {https://doi.org/10.1007/s00440-005-0446-3}
}
@Article{ dubedat:07:commutation,
author = {Dub\'{e}dat, Julien},
title = {Commutation relations for {S}chramm-{L}oewner evolutions},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {60},
year = {2007},
number = {12},
pages = {1792--1847},
issn = {0010-3640},
mrclass = {60G17 (60J65)},
mrnumber = {2358649},
mrreviewer = {Robert Otto Bauer},
doi = {10.1002/cpa.20191},
url = {https://doi.org/10.1002/cpa.20191}
}
@Article{ dubedat:09:duality,
author = {Dub\'{e}dat, Julien},
title = {Duality of {S}chramm-{L}oewner evolutions},
journal = {Ann. Sci. \'{E}c. Norm. Sup\'{e}r. (4)},
fjournal = {Annales Scientifiques de l'\'{E}cole Normale
Sup\'{e}rieure. Quatri\`eme S\'{e}rie},
volume = {42},
year = {2009},
number = {5},
pages = {697--724},
issn = {0012-9593},
mrclass = {60J67},
mrnumber = {2571956},
mrreviewer = {Dmitry Beliaev},
doi = {10.24033/asens.2107},
url = {https://doi.org/10.24033/asens.2107}
}
@Article{ dubedat:09:sle,
author = {Dub\'{e}dat, Julien},
title = {S{LE} and the free field: partition functions and
couplings},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {22},
year = {2009},
number = {4},
pages = {995--1054},
issn = {0894-0347},
mrclass = {60J67 (60G17 60K35)},
mrnumber = {2525778},
mrreviewer = {Dmitry Beliaev},
doi = {10.1090/S0894-0347-09-00636-5},
url = {https://doi.org/10.1090/S0894-0347-09-00636-5}
}
@Book{ dubhashi.panconesi:09:concentration,
author = {Dubhashi, Devdatt P. and Panconesi, Alessandro},
title = {Concentration of measure for the analysis of randomized
algorithms},
publisher = {Cambridge University Press, Cambridge},
year = {2009},
pages = {xvi+196},
isbn = {978-0-521-88427-3},
mrclass = {68W20 (60C05 60F10 68-02 68W40)},
mrnumber = {2547432},
mrreviewer = {Yannis C. Stamatiou},
doi = {10.1017/CBO9780511581274},
url = {https://doi.org/10.1017/CBO9780511581274}
}
@InCollection{ duc.nualart.ea:89:planar,
author = {Nguyen Minh Duc and Nualart, D. and Sanz, M.},
title = {Planar semimartingales obtained by transformations of
two-parameter martingales},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIII}},
series = {Lecture Notes in Math.},
volume = {1372},
pages = {566--582},
publisher = {Springer, Berlin},
year = {1989},
mrclass = {60G44 (60G48)},
mrnumber = {1022938},
mrreviewer = {Peter Imkeller},
doi = {10.1007/BFb0084000},
url = {https://doi.org/10.1007/BFb0084000}
}
@Article{ duc.nualart.ea:90:application,
author = {Nguyen Minh Duc and Nualart, D. and Sanz, M.},
title = {Application of {M}alliavin calculus to a class of
stochastic differential equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {84},
year = {1990},
number = {4},
pages = {549--571},
issn = {0178-8051},
mrclass = {60H10 (60H07)},
mrnumber = {1042065},
mrreviewer = {Annie Millet},
doi = {10.1007/BF01198319},
url = {https://doi.org/10.1007/BF01198319}
}
@Article{ duc.nualart.ea:91:doob-meyer,
author = {Nguyen Minh Duc and Nualart, D. and Sanz, M.},
title = {The {D}oob-{M}eyer decomposition for anticipating
processes},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {34},
year = {1991},
number = {3-4},
pages = {221--239},
issn = {1045-1129},
mrclass = {60H05 (60G07 60G48)},
mrnumber = {1124836},
mrreviewer = {Peter Imkeller}
}
@Article{ duc.nualart:90:stochastic,
author = {Nguyen Minh Duc and Nualart, David},
title = {Stochastic processes possessing a {S}korohod integral
representation},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {30},
year = {1990},
number = {1},
pages = {47--60},
issn = {1045-1129},
mrclass = {60H05 (60H07)},
mrnumber = {1085479},
mrreviewer = {Denis R. Bell}
}
@Article{ duchon.robert.ea:12:forecasting,
author = {Duchon, Jean and Robert, Raoul and Vargas, Vincent},
title = {Forecasting volatility with the multifractal random walk
model},
journal = {Math. Finance},
fjournal = {Mathematical Finance. An International Journal of
Mathematics, Statistics and Financial Economics},
volume = {22},
year = {2012},
number = {1},
pages = {83--108},
issn = {0960-1627,1467-9965},
mrclass = {60G25 (60G22 60G57 60H40 62M20 91G80)},
mrnumber = {2881881},
mrreviewer = {Nicolas\ Privault},
doi = {10.1111/j.1467-9965.2010.00458.x},
url = {https://doi.org/10.1111/j.1467-9965.2010.00458.x}
}
@InCollection{ dudley.kulkarni.ea:10:metric,
author = {Dudley, R. M. and Kulkarni, S. R. and Richardson, T. and
Zeitouni, O.},
title = {A metric entropy bound is not sufficient for learnability
[MR1295317]},
booktitle = {Selected works of {R}. {M}. {D}udley},
series = {Sel. Works Probab. Stat.},
pages = {445--447},
publisher = {Springer, New York},
year = {2010},
isbn = {978-1-4419-5820-4},
mrclass = {68T05},
mrnumber = {2768665},
doi = {10.1007/978-1-4419-5821-1\_28},
url = {https://doi.org/10.1007/978-1-4419-5821-1_28}
}
@Article{ dudley.kulkarni.ea:94:metric,
author = {Dudley, R. M. and Kulkarni, S. R. and Richardson, T. and
Zeitouni, O.},
title = {A metric entropy bound is not sufficient for
learnability},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {40},
year = {1994},
number = {3},
pages = {883--885},
issn = {0018-9448,1557-9654},
mrclass = {68T05},
mrnumber = {1295317},
doi = {10.1109/18.335898},
url = {https://doi.org/10.1109/18.335898}
}
@Book{ dudley:02:real,
author = {Dudley, R. M.},
title = {Real analysis and probability},
series = {Cambridge Studies in Advanced Mathematics},
volume = {74},
note = {Revised reprint of the 1989 original},
publisher = {Cambridge University Press, Cambridge},
year = {2002},
pages = {x+555},
isbn = {0-521-00754-2},
mrclass = {60-01 (00A05 28-01 46-01 54-01)},
mrnumber = {1932358},
doi = {10.1017/CBO9780511755347},
url = {https://doi.org/10.1017/CBO9780511755347}
}
@Article{ dudley:67:sizes,
author = {Dudley, R. M.},
title = {The sizes of compact subsets of {H}ilbert space and
continuity of {G}aussian processes},
journal = {J. Functional Analysis},
volume = {1},
year = {1967},
pages = {290--330},
mrclass = {60.40 (46.00)},
mrnumber = {0220340},
mrreviewer = {H. Heyer},
doi = {10.1016/0022-1236(67)90017-1},
url = {https://doi.org/10.1016/0022-1236(67)90017-1}
}
@Book{ dudley:89:real,
author = {Dudley, Richard M.},
title = {Real analysis and probability},
series = {The Wadsworth \& Brooks/Cole Mathematics Series},
publisher = {Wadsworth \& Brooks/Cole Advanced Books \& Software,
Pacific Grove, CA},
year = {1989},
pages = {xii+436},
isbn = {0-534-10050-3},
mrclass = {60-01 (00A05 28-01 46-01)},
mrnumber = {982264},
mrreviewer = {Evarist Gin\'{e}}
}
@Article{ duerinckx.otto:20:higher-order,
author = {Duerinckx, Mitia and Otto, Felix},
title = {Higher-order pathwise theory of fluctuations in stochastic
homogenization},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {8},
year = {2020},
number = {3},
pages = {625--692},
issn = {2194-0401},
mrclass = {35B27 (35J15)},
mrnumber = {4147699},
doi = {10.1007/s40072-019-00156-4},
url = {https://doi.org/10.1007/s40072-019-00156-4}
}
@Article{ duerinckx:16:mean-field,
author = {Duerinckx, Mitia},
title = {Mean-field limits for some {R}iesz interaction gradient
flows},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {48},
year = {2016},
number = {3},
pages = {2269--2300},
issn = {0036-1410},
mrclass = {82C05 (35K55 35R11 82C22)},
mrnumber = {3514713},
mrreviewer = {Rafael Silva Sasportes},
doi = {10.1137/15M1042620},
url = {https://doi.org/10.1137/15M1042620}
}
@Article{ dumaz.labbe:20:localization,
author = {Dumaz, Laure and Labb\'{e}, Cyril},
title = {Localization of the continuous {A}nderson {H}amiltonian in
1-{D}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {176},
year = {2020},
number = {1-2},
pages = {353--419},
issn = {0178-8051},
mrclass = {60H25 (35P20 60J60)},
mrnumber = {4055192},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s00440-019-00920-6},
url = {https://doi.org/10.1007/s00440-019-00920-6}
}
@Article{ dumaz.labbe:22:stochastic,
author = {Dumaz, Laure and Labb\'{e}, Cyril},
title = {The stochastic {A}iry operator at large temperature},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {32},
year = {2022},
number = {6},
pages = {4481--4534},
issn = {1050-5164},
mrclass = {60H25 (35P20 60J60)},
mrnumber = {4522358},
doi = {10.1214/22-aap1793},
url = {https://doi.org/10.1214/22-aap1793}
}
@Article{ dumaz.labbe:23:delocalized,
author = {Dumaz, Laure and Labb\'{e}, Cyril},
title = {The delocalized phase of the {A}nderson {H}amiltonian in
1-{D}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {51},
year = {2023},
number = {3},
pages = {805--839},
issn = {0091-1798},
mrclass = {60H25 (60B20 60J60)},
mrnumber = {4583056},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/22-aop1591},
url = {https://doi.org/10.1214/22-aop1591}
}
@Article{ dumaz.labbe:24:anderson,
author = {Dumaz, Laure and Labb\'{e}, Cyril},
title = {Anderson localization for the 1-d {S}chr\"{o}dinger
operator with white noise potential},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {286},
year = {2024},
number = {1},
pages = {Paper No. 110191, 45},
issn = {0022-1236},
mrclass = {60H25 (35P20 82B44)},
mrnumber = {4654015},
mrreviewer = {Le Chen},
doi = {10.1016/j.jfa.2023.110191},
url = {https://doi.org/10.1016/j.jfa.2023.110191}
}
@Article{ dumaz.labbe:24:localization,
author = {Dumaz, Laure and Labb\'{e}, Cyril},
title = {Localization crossover for the continuous {A}nderson
{H}amiltonian in 1-d},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {235},
year = {2024},
number = {2},
pages = {345--440},
issn = {0020-9910},
mrclass = {60H25 (60J60 81Q10)},
mrnumber = {4689370},
doi = {10.1007/s00222-023-01225-1},
url = {https://doi.org/10.1007/s00222-023-01225-1}
}
@Article{ dumaz.virag:13:right,
author = {Dumaz, Laure and Vir\'{a}g, B\'{a}lint},
title = {The right tail exponent of the {T}racy-{W}idom {$\beta$}
distribution},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {49},
year = {2013},
number = {4},
pages = {915--933},
issn = {0246-0203},
mrclass = {60F10 (60B20 60H25)},
mrnumber = {3127907},
mrreviewer = {Dominique L\'{e}pingle},
doi = {10.1214/11-AIHP475},
url = {https://doi.org/10.1214/11-AIHP475}
}
@Article{ dumbgen.geer.ea:10:nemirovskis,
author = {D\"umbgen, Lutz and van de Geer, Sara A. and Veraar, Mark
C. and Wellner, Jon A.},
title = {Nemirovski's inequalities revisited},
journal = {Amer. Math. Monthly},
fjournal = {American Mathematical Monthly},
volume = {117},
year = {2010},
number = {2},
pages = {138--160},
issn = {0002-9890,1930-0972},
mrclass = {60B11 (46B09 60E15)},
mrnumber = {2590193},
mrreviewer = {Paul\ Raynaud de Fitte},
doi = {10.4169/000298910X476059},
url = {https://doi.org/10.4169/000298910X476059}
}
@Article{ duminil-copin.ganguly.ea:20:bounding,
author = {Duminil-Copin, Hugo and Ganguly, Shirshendu and Hammond,
Alan and Manolescu, Ioan},
title = {Bounding the number of self-avoiding walks:
{H}ammersley-{W}elsh with polygon insertion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {4},
pages = {1644--1692},
issn = {0091-1798},
mrclass = {60K35 (60D05)},
mrnumber = {4124522},
mrreviewer = {Stephen Muirhead},
doi = {10.1214/19-AOP1400},
url = {https://doi.org/10.1214/19-AOP1400}
}
@Article{ duminil-copin.hammond:13:self-avoiding,
author = {Duminil-Copin, Hugo and Hammond, Alan},
title = {Self-avoiding walk is sub-ballistic},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {324},
year = {2013},
number = {2},
pages = {401--423},
issn = {0010-3616},
mrclass = {60G50 (60K05 60K35)},
mrnumber = {3117515},
mrreviewer = {Elcio Lebensztayn},
doi = {10.1007/s00220-013-1811-1},
url = {https://doi.org/10.1007/s00220-013-1811-1}
}
@InCollection{ duminil-copin.smirnov:12:conformal,
author = {Duminil-Copin, Hugo and Smirnov, Stanislav},
title = {Conformal invariance of lattice models},
booktitle = {Probability and statistical physics in two and more
dimensions},
series = {Clay Math. Proc.},
volume = {15},
pages = {213--276},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2012},
mrclass = {60K35 (30C35 30C85 60J67 82B20)},
mrnumber = {3025392},
mrreviewer = {Dmitry Beliaev}
}
@Article{ duminil-copin.smirnov:12:connective,
author = {Duminil-Copin, Hugo and Smirnov, Stanislav},
title = {The connective constant of the honeycomb lattice equals
{$\sqrt{2+\sqrt{2}}$}},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {175},
year = {2012},
number = {3},
pages = {1653--1665},
issn = {0003-486X},
mrclass = {82B41 (60J67 60K35 82D60)},
mrnumber = {2912714},
mrreviewer = {Dmitry Beliaev},
doi = {10.4007/annals.2012.175.3.14},
url = {https://doi.org/10.4007/annals.2012.175.3.14}
}
@InCollection{ duminil-copin:20:lectures,
author = {Duminil-Copin, Hugo},
title = {Lectures on the {I}sing and {P}otts models on the
hypercubic lattice},
booktitle = {Random graphs, phase transitions, and the {G}aussian free
field},
series = {Springer Proc. Math. Stat.},
volume = {304},
pages = {35--161},
publisher = {Springer, Cham},
year = {[2020] \copyright 2020},
mrclass = {82B20 (60K35)},
mrnumber = {4043224},
mrreviewer = {Jianping Jiang},
doi = {10.1007/978-3-030-32011-9\_2},
url = {https://doi.org/10.1007/978-3-030-32011-9_2}
}
@Article{ dumitrescu.boland:01:algorithms,
title = {Algorithms for the weight constrained shortest path
problem},
author = {Dumitrescu, Irina and Boland, Natashia},
journal = {International Transactions in Operational Research},
volume = {8},
number = {1},
pages = {15--29},
year = {2001},
publisher = {Wiley Online Library}
}
@Article{ dumitrescu.boland:03:improved,
title = {Improved preprocessing, labeling and scaling algorithms
for the weight-constrained shortest path problem},
author = {Dumitrescu, Irina and Boland, Natashia},
journal = {Networks: An International Journal},
volume = {42},
number = {3},
pages = {135--153},
year = {2003},
publisher = {Wiley Online Library}
}
@Article{ dumitriu.edelman:02:matrix,
author = {Dumitriu, Ioana and Edelman, Alan},
title = {Matrix models for beta ensembles},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {43},
year = {2002},
number = {11},
pages = {5830--5847},
issn = {0022-2488},
mrclass = {82B41 (33C45 82B10)},
mrnumber = {1936554},
doi = {10.1063/1.1507823},
url = {https://doi.org/10.1063/1.1507823}
}
@Article{ dumortier.popovic.ea:07:critical,
author = {Dumortier, Freddy and Popovi\'{c}, Nikola and Kaper, Tasso
J.},
title = {The critical wave speed for the
{F}isher-{K}olmogorov-{P}etrowskii-{P}iscounov equation
with cut-off},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {20},
year = {2007},
number = {4},
pages = {855--877},
issn = {0951-7715},
mrclass = {35K55 (34E05 34E15)},
mrnumber = {2307884},
mrreviewer = {Andrey B. Muravnik},
doi = {10.1088/0951-7715/20/4/004},
url = {https://doi.org/10.1088/0951-7715/20/4/004}
}
@Article{ duncan.hu.ea:00:stochastic,
author = {Duncan, Tyrone E. and Hu, Yaozhong and Pasik-Duncan,
Bozenna},
title = {Stochastic calculus for fractional {B}rownian motion. {I}.
{T}heory},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {38},
year = {2000},
number = {2},
pages = {582--612},
issn = {0363-0129},
mrclass = {60H05 (60G15 60G18 60H30)},
mrnumber = {1741154},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1137/S036301299834171X},
url = {https://doi.org/10.1137/S036301299834171X}
}
@Article{ duncan.nualart:09:existence,
author = {Duncan, Tyrone and Nualart, David},
title = {Existence of strong solutions and uniqueness in law for
stochastic differential equations driven by fractional
{B}rownian motion},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {9},
year = {2009},
number = {3},
pages = {423--435},
issn = {0219-4937},
mrclass = {60H10 (60G22 60H05)},
mrnumber = {2566909},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1142/S0219493709002725},
url = {https://doi.org/10.1142/S0219493709002725}
}
@Article{ duncan.pasik-duncan.ea:02:fractional,
author = {Duncan, T. E. and Pasik-Duncan, B. and Maslowski, B.},
title = {Fractional {B}rownian motion and stochastic equations in
{H}ilbert spaces},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {2},
year = {2002},
number = {2},
pages = {225--250},
issn = {0219-4937},
mrclass = {60H15 (60G15 60H05)},
mrnumber = {1912142},
mrreviewer = {Anna Karczewska},
doi = {10.1142/S0219493702000340},
url = {https://doi.org/10.1142/S0219493702000340}
}
@Book{ dunford.schwartz:71:linear,
author = {Dunford, Nelson and Schwartz, Jacob T.},
title = {Linear operators. {P}art {III}: {S}pectral operators},
series = {Pure and Applied Mathematics, Vol. VII},
note = {With the assistance of William G. Bade and Robert G.
Bartle},
publisher = {Interscience Publishers [John Wiley \& Sons, Inc.], New
York-London-Sydney},
year = {1971},
pages = {i-xx and 1925--2592},
mrclass = {47B40 (47-02)},
mrnumber = {0412888},
mrreviewer = {Henry R. Dowson}
}
@Book{ dunford.schwartz:88:linear,
author = {Dunford, Nelson and Schwartz, Jacob T.},
title = {Linear operators. {P}art {I}},
series = {Wiley Classics Library},
note = {General theory, With the assistance of William G. Bade and
Robert G. Bartle, Reprint of the 1958 original, A
Wiley-Interscience Publication},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1988},
pages = {xiv+858},
isbn = {0-471-60848-3},
mrclass = {47-01 (46-01)},
mrnumber = {1009162}
}
@Book{ dunford.schwartz:88:linear*1,
author = {Dunford, Nelson and Schwartz, Jacob T.},
title = {Linear operators. {P}art {II}},
series = {Wiley Classics Library},
note = {Spectral theory. Selfadjoint operators in Hilbert space,
With the assistance of William G. Bade and Robert G.
Bartle, Reprint of the 1963 original, A Wiley-Interscience
Publication},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1988},
pages = {i--x, 859--1923 and 1--7},
isbn = {0-471-60847-5},
mrclass = {47-01 (46-01)},
mrnumber = {1009163}
}
@Article{ dunlap.graham.ea:21:stationary,
author = {Dunlap, Alexander and Graham, Cole and Ryzhik, Lenya},
title = {Stationary solutions to the stochastic {B}urgers equation
on the line},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {382},
year = {2021},
number = {2},
pages = {875--949},
issn = {0010-3616,1432-0916},
mrclass = {60H15},
mrnumber = {4227165},
mrreviewer = {Dirk\ Bl\"omker},
doi = {10.1007/s00220-021-04025-x},
url = {https://doi.org/10.1007/s00220-021-04025-x}
}
@Article{ dunlap.graham:25:edwards-wilkinson,
author = {Dunlap, Alexander and Graham, Cole},
title = {Edwards--{W}ilkinson fluctuations in subcritical 2{D}
stochastic heat equations},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {30},
year = {2025},
pages = {Paper No. 96, 11},
issn = {1083-589X},
mrclass = {60H15 (35R60 60F05 82B44)},
mrnumber = {4999690},
doi = {10.1214/25-ecp735},
url = {https://doi.org/10.1214/25-ecp735}
}
@Article{ dunlap.graham:25:uniqueness,
author = {Dunlap, Alexander and Graham, Cole},
title = {Uniqueness and root-{L}ipschitz regularity for a
degenerate heat equation},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {57},
year = {2025},
number = {2},
pages = {1866--1891},
issn = {0036-1410,1095-7154},
mrclass = {35B65 (35B44 35B53 35K15 35K59 35K65 60H10)},
mrnumber = {4894196},
doi = {10.1137/23M1596260},
url = {https://doi.org/10.1137/23M1596260}
}
@Article{ dunlap.gu.ea:20:fluctuations,
author = {Dunlap, Alexander and Gu, Yu and Ryzhik, Lenya and
Zeitouni, Ofer},
title = {Fluctuations of the solutions to the {KPZ} equation in
dimensions three and higher},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {176},
year = {2020},
number = {3-4},
pages = {1217--1258},
issn = {0178-8051},
mrclass = {35R60 (60H07 60H15)},
mrnumber = {4087492},
doi = {10.1007/s00440-019-00938-w},
url = {https://doi.org/10.1007/s00440-019-00938-w}
}
@Article{ dunlap.gu.ea:21:fluctuations,
title = {Fluctuations of the KPZ equation on a large torus},
author = {Alexander Dunlap and Yu Gu and Tomasz Komorowski},
year = {2021},
month = {November},
journal = {Preprint arXiv:2111.03650},
url = {https://www.arxiv.org/abs/2111.03650}
}
@Article{ dunlap.gu.ea:21:random,
author = {Dunlap, Alexander and Gu, Yu and Ryzhik, Lenya and
Zeitouni, Ofer},
title = {The random heat equation in dimensions three and higher:
the homogenization viewpoint},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {242},
year = {2021},
number = {2},
pages = {827--873},
issn = {0003-9527},
mrclass = {60H15 (35K05)},
mrnumber = {4331017},
mrreviewer = {Shuang Yang},
doi = {10.1007/s00205-021-01694-9},
url = {https://doi.org/10.1007/s00205-021-01694-9}
}
@Article{ dunlap.gu.ea:23:fluctuation,
author = {Dunlap, Alexander and Gu, Yu and Komorowski, Tomasz},
title = {Fluctuation exponents of the {KPZ} equation on a large
torus},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {76},
year = {2023},
number = {11},
pages = {3104--3149},
issn = {0010-3640,1097-0312},
mrclass = {60H15 (35K05 60H07)},
mrnumber = {4642816},
doi = {10.1002/cpa.22110},
url = {https://doi.org/10.1002/cpa.22110}
}
@Article{ dunlap.gu.ea:23:localization,
author = {Dunlap, Alexander and Gu, Yu and Li, Liying},
title = {Localization length of the {$1+1$} continuum directed
random polymer},
journal = {Ann. Henri Poincar\'{e}},
fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and
Mathematical Physics},
volume = {24},
year = {2023},
number = {7},
pages = {2537--2555},
issn = {1424-0637,1424-0661},
mrclass = {74H99 (35K05 35R60 82D60)},
mrnumber = {4603188},
doi = {10.1007/s00023-023-01288-z},
url = {https://doi.org/10.1007/s00023-023-01288-z}
}
@Article{ dunlap.gu:22:forward-backward,
author = {Dunlap, Alexander and Gu, Yu},
title = {A forward-backward {SDE} from the 2{D} nonlinear
stochastic heat equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {50},
year = {2022},
number = {3},
pages = {1204--1253},
issn = {0091-1798},
mrclass = {60H15 (35R60)},
mrnumber = {4413215},
doi = {10.1214/21-aop1563},
url = {https://doi.org/10.1214/21-aop1563}
}
@Article{ dunlap.gu:22:quenched,
author = {Dunlap, Alexander and Gu, Yu},
title = {A quenched local limit theorem for stochastic flows},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {282},
year = {2022},
number = {6},
pages = {Paper No. 109372, 31},
issn = {0022-1236},
mrclass = {60H15 (60F05 60G60 60J65)},
mrnumber = {4362856},
mrreviewer = {Slobodanka S. Mitrovi\'{c}},
doi = {10.1016/j.jfa.2021.109372},
url = {https://doi.org/10.1016/j.jfa.2021.109372}
}
@Article{ dunlap.gu:24:jointly,
author = {Dunlap, Alexander and Gu, Yu},
title = {Jointly stationary solutions of periodic {B}urgers flow},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {287},
year = {2024},
number = {12},
pages = {Paper No. 110656, 43},
issn = {0022-1236,1096-0783},
mrclass = {60H15 (35Q53 35R60 60K35)},
mrnumber = {4794508},
mrreviewer = {Jorge\ A.\ Le\'on},
doi = {10.1016/j.jfa.2024.110656},
url = {https://doi.org/10.1016/j.jfa.2024.110656}
}
@Article{ dunlap.mourrat:22:local,
author = {Dunlap, Alexander and Mourrat, Jean-Christophe},
title = {Local versions of sum-of-norms clustering},
journal = {SIAM J. Math. Data Sci.},
fjournal = {SIAM Journal on Mathematics of Data Science},
volume = {4},
year = {2022},
number = {4},
pages = {1250--1271},
issn = {2577-0187},
mrclass = {49Q20 (68Q32 90C25 90C48)},
mrnumber = {4509163},
mrreviewer = {Xiang-Kai\ Sun},
doi = {10.1137/21M1448732},
url = {https://doi.org/10.1137/21M1448732}
}
@Article{ dunlap.mourrat:24:sum-of-norms,
author = {Dunlap, Alexander and Mourrat, Jean-Christophe},
title = {Sum-of-norms clustering does not separate nearby balls},
journal = {J. Mach. Learn. Res.},
fjournal = {Journal of Machine Learning Research (JMLR)},
volume = {25},
year = {2024},
pages = {Paper No. [123], 40},
issn = {1532-4435,1533-7928},
mrclass = {62H30},
mrnumber = {4749775},
mrreviewer = {Cl\'ement\ Levrard}
}
@Article{ dunlap.mukherjee:24:additive-multiplicative,
title = {Additive-multiplicative stochastic heat equations,
stationary solutions, and Cauchy statistics},
author = {Alexander Dunlap and Chiranjib Mukherjee},
year = {2024},
month = {February},
journal = {Preprint arXiv:2402.02907},
url = {http://arXiv.org/abs/2402.02907}
}
@Article{ dunlap.mukherjee:25:additive-multiplicative,
author = {Dunlap, Alexander and Mukherjee, Chiranjib},
title = {Additive-multiplicative stochastic heat equations,
stationary solutions, and {C}auchy statistics},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {35},
year = {2025},
number = {4},
pages = {2526--2543},
issn = {1050-5164,2168-8737},
mrclass = {60H15 (37L55)},
mrnumber = {4945084},
doi = {10.1214/25-AAP2178},
url = {https://doi.org/10.1214/25-AAP2178}
}
@Article{ dunlap.ryzhik:21:viscous,
author = {Dunlap, Alexander and Ryzhik, Lenya},
title = {Viscous shock solutions to the stochastic {B}urgers
equation},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {242},
year = {2021},
number = {2},
pages = {937--971},
issn = {0003-9527,1432-0673},
mrclass = {60H15 (35R60)},
mrnumber = {4331019},
mrreviewer = {Jinlong\ Wei},
doi = {10.1007/s00205-021-01696-7},
url = {https://doi.org/10.1007/s00205-021-01696-7}
}
@Article{ dunlap:20:continuum,
author = {Dunlap, Alexander},
title = {The continuum parabolic {A}nderson model with a
half-{L}aplacian and periodic noise},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {25},
year = {2020},
pages = {Paper No. 64, 14},
issn = {1083-589X},
mrclass = {60H15},
mrnumber = {4151881},
doi = {10.1214/20-ECP342},
url = {https://doi.org/10.1214/20-ECP342}
}
@Article{ dunlap:20:existence,
author = {Dunlap, Alexander},
title = {Existence of stationary stochastic {B}urgers evolutions on
{${\bf R}^2$} and {${\bf R}^3$}},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {33},
year = {2020},
number = {12},
pages = {6480--6501},
issn = {0951-7715,1361-6544},
mrclass = {60H15 (35R60)},
mrnumber = {4173562},
mrreviewer = {Jianbo\ Cui},
doi = {10.1088/1361-6544/aba50a},
url = {https://doi.org/10.1088/1361-6544/aba50a}
}
@InCollection{ dunster:10:legendre,
author = {Dunster, T. M.},
title = {Legendre and related functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {351--381},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C05},
mrnumber = {2655354}
}
@Book{ duoandikoetxea:01:fourier,
author = {Duoandikoetxea, Javier},
title = {Fourier analysis},
series = {Graduate Studies in Mathematics},
volume = {29},
note = {Translated and revised from the 1995 Spanish original by
David Cruz-Uribe},
publisher = {American Mathematical Society, Providence, RI},
year = {2001},
pages = {xviii+222},
isbn = {0-8218-2172-5},
mrclass = {42-01},
mrnumber = {1800316},
mrreviewer = {Loukas Grafakos},
doi = {10.1090/gsm/029},
url = {https://doi.org/10.1090/gsm/029}
}
@Article{ duplantier.binder:08:harmonic,
author = {Duplantier, Bertrand and Binder, Ilia A.},
title = {Harmonic measure and winding of random conformal paths: a
{C}oulomb gas perspective},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {802},
year = {2008},
number = {3},
pages = {494--513},
issn = {0550-3213},
mrclass = {60J67 (60K35 81T40)},
mrnumber = {2436507},
mrreviewer = {Robert Otto Bauer},
doi = {10.1016/j.nuclphysb.2008.05.020},
url = {https://doi.org/10.1016/j.nuclphysb.2008.05.020}
}
@Article{ duplantier.guttmann:19:new,
author = {Duplantier, Bertrand and Guttmann, Anthony J.},
title = {New scaling laws for self-avoiding walks: bridges and
worms},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2019},
number = {10},
pages = {104010, 13},
mrclass = {82B41 (82D60)},
mrnumber = {4031611},
doi = {10.1088/1742-5468/ab4584},
url = {https://doi.org/10.1088/1742-5468/ab4584}
}
@Article{ duplantier.guttmann:20:statistical,
author = {Duplantier, Bertrand and Guttmann, Anthony J.},
title = {Statistical mechanics of confined polymer networks},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {180},
year = {2020},
number = {1-6},
pages = {1061--1094},
issn = {0022-4715},
mrclass = {82D60 (05C81 60J67)},
mrnumber = {4131026},
doi = {10.1007/s10955-020-02584-2},
url = {https://doi.org/10.1007/s10955-020-02584-2}
}
@Article{ duplantier.ho.ea:18:logarithmic,
author = {Duplantier, Bertrand and Ho, Xuan Hieu and Le, Thanh Binh
and Zinsmeister, Michel},
title = {Logarithmic coefficients and generalized multifractality
of whole-plane {SLE}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {359},
year = {2018},
number = {3},
pages = {823--868},
issn = {0010-3616},
mrclass = {60J67 (30C35 30C50 30C55)},
mrnumber = {3784533},
mrreviewer = {Xin Sun},
doi = {10.1007/s00220-017-3046-z},
url = {https://doi.org/10.1007/s00220-017-3046-z}
}
@Article{ duplantier.kostov:90:geometrical,
author = {Duplantier, Bertrand and Kostov, Ivan K.},
title = {Geometrical critical phenomena on a random surface of
arbitrary genus},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {340},
year = {1990},
number = {2-3},
pages = {491--541},
issn = {0550-3213},
mrclass = {82B41 (81T40 82B23 82B43)},
mrnumber = {1068092},
mrreviewer = {Sergei V. Pokrovskiu{i}},
doi = {10.1016/0550-3213(90)90456-N},
url = {https://doi.org/10.1016/0550-3213(90)90456-N}
}
@Article{ duplantier.lawler.ea:93:geometry,
author = {Duplantier, B. and Lawler, G. F. and Le Gall, J.-F. and
Lyons, T. J.},
title = {The geometry of the {B}rownian curve},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {117},
year = {1993},
number = {1},
pages = {91--106},
issn = {0007-4497},
mrclass = {60J65 (31A20 60G17 60J15 60J50 60K35)},
mrnumber = {1205413},
mrreviewer = {Krzysztof Burdzy}
}
@Article{ duplantier.ludwig:91:multifractals,
author = {Duplantier, Bertrand and Ludwig, Andreas W. W.},
title = {Multifractals, operator product expansion, and field
theory},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {66},
year = {1991},
number = {3},
pages = {247--251},
issn = {0031-9007},
mrclass = {82B27 (81T99)},
mrnumber = {1086317},
doi = {10.1103/PhysRevLett.66.247},
url = {https://doi.org/10.1103/PhysRevLett.66.247}
}
@Article{ duplantier.miller.ea:21:liouville,
author = {Duplantier, Bertrand and Miller, Jason and Sheffield,
Scott},
title = {Liouville quantum gravity as a mating of trees},
journal = {Ast\'{e}risque},
fjournal = {Ast\'{e}risque},
number = {427},
year = {2021},
pages = {viii+257},
issn = {0303-1179},
isbn = {978-2-85629-941-8},
mrclass = {60-02 (60D05 60J67 82B20 82B41 83C45)},
mrnumber = {4340069},
doi = {10.24033/ast},
url = {https://doi.org/10.24033/ast}
}
@Article{ duplantier.nguyen.ea:15:coefficient,
author = {Duplantier, Bertrand and Nguyen, Chi and Nguyen, Nga and
Zinsmeister, Michel},
title = {The coefficient problem and multifractality of whole-plane
{SLE} \& {LLE}},
journal = {Ann. Henri Poincar\'{e}},
fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and
Mathematical Physics},
volume = {16},
year = {2015},
number = {6},
pages = {1311--1395},
issn = {1424-0637},
mrclass = {60J67 (30C50 30C55 30C80)},
mrnumber = {3345643},
mrreviewer = {Fredrik Johansson Viklund},
doi = {10.1007/s00023-014-0351-3},
url = {https://doi.org/10.1007/s00023-014-0351-3}
}
@Article{ duplantier.rhodes.ea:14:critical,
author = {Duplantier, Bertrand and Rhodes, R\'{e}mi and Sheffield,
Scott and Vargas, Vincent},
title = {Critical {G}aussian multiplicative chaos: convergence of
the derivative martingale},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {5},
pages = {1769--1808},
issn = {0091-1798},
mrclass = {60G57 (60G15 60G60)},
mrnumber = {3262492},
doi = {10.1214/13-AOP890},
url = {https://doi.org/10.1214/13-AOP890}
}
@Article{ duplantier.rhodes.ea:14:renormalization,
author = {Duplantier, Bertrand and Rhodes, R\'{e}mi and Sheffield,
Scott and Vargas, Vincent},
title = {Renormalization of critical {G}aussian multiplicative
chaos and {KPZ} relation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {330},
year = {2014},
number = {1},
pages = {283--330},
issn = {0010-3616},
mrclass = {60G15 (60G57 60G60 81T40)},
mrnumber = {3215583},
mrreviewer = {Narn-Rueih Shieh},
doi = {10.1007/s00220-014-2000-6},
url = {https://doi.org/10.1007/s00220-014-2000-6}
}
@InCollection{ duplantier.rhodes.ea:17:log-correlated,
author = {Duplantier, Bertrand and Rhodes, R\'{e}mi and Sheffield,
Scott and Vargas, Vincent},
title = {Log-correlated {G}aussian fields: an overview},
booktitle = {Geometry, analysis and probability},
series = {Progr. Math.},
volume = {310},
pages = {191--216},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2017},
mrclass = {60D05 (60G22)},
mrnumber = {3821928}
}
@Article{ duplantier.saleur:89:exact,
author = {Duplantier, B. and Saleur, H.},
title = {Exact fractal dimension of {$2$}{D} {I}sing clusters.
{C}omment on: ``{S}caling and fractal dimension of {I}sing
clusters at the {$d=2$} critical point'' [{P}hys. {R}ev.
{L}ett. {\bf 62} (1989), no. 10, 1067--1070; {MR}0982648
(89k:82107)] by {A}. {L}. {S}tella and {C}. {V}anderzande},
note = {With a reply by Stella and Vanderzande},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {63},
year = {1989},
number = {22},
pages = {2536--2537},
issn = {0031-9007},
mrclass = {82A68 (82A25)},
mrnumber = {1024256},
doi = {10.1103/PhysRevLett.63.2536},
url = {https://doi.org/10.1103/PhysRevLett.63.2536}
}
@Article{ duplantier.sheffield:09:duality,
author = {Duplantier, Bertrand and Sheffield, Scott},
title = {Duality and the {K}nizhnik-{P}olyakov-{Z}amolodchikov
relation in {L}iouville quantum gravity},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {102},
year = {2009},
number = {15},
pages = {150603, 4},
issn = {0031-9007},
mrclass = {83C80 (83C45)},
mrnumber = {2501276},
doi = {10.1103/PhysRevLett.102.150603},
url = {https://doi.org/10.1103/PhysRevLett.102.150603}
}
@Article{ duplantier.sheffield:11:liouville,
author = {Duplantier, Bertrand and Sheffield, Scott},
title = {Liouville quantum gravity and {KPZ}},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {185},
year = {2011},
number = {2},
pages = {333--393},
issn = {0020-9910},
mrclass = {81T40 (60K35)},
mrnumber = {2819163},
mrreviewer = {Lee-Peng Teo},
doi = {10.1007/s00222-010-0308-1},
url = {https://doi.org/10.1007/s00222-010-0308-1}
}
@Article{ duplantier:00:conformally,
author = {Duplantier, Bertrand},
title = {Conformally invariant fractals and potential theory},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {84},
year = {2000},
number = {7},
pages = {1363--1367},
issn = {0031-9007},
mrclass = {82B99},
mrnumber = {1740371},
mrreviewer = {Tatiana Allen},
doi = {10.1103/PhysRevLett.84.1363},
url = {https://doi.org/10.1103/PhysRevLett.84.1363}
}
@Article{ duplantier:03:conformal,
author = {Duplantier, Bertrand},
title = {Conformal spiral multifractals},
journal = {Ann. Henri Poincar\'{e}},
fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and
Mathematical Physics},
volume = {4},
year = {2003},
number = {suppl. 1},
pages = {S401--S426},
issn = {1424-0637},
mrclass = {82B27 (82B20 82B31)},
mrnumber = {2037566},
mrreviewer = {Christophe Giraud},
doi = {10.1007/s00023-003-0931-0},
url = {https://doi.org/10.1007/s00023-003-0931-0}
}
@InCollection{ duplantier:03:higher,
author = {Duplantier, Bertrand},
title = {Higher conformal multifractality},
note = {Special issue in honor of Michael E. Fisher's 70th
birthday (Piscataway, NJ, 2001)},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {110},
year = {2003},
number = {3-6},
pages = {691--738},
issn = {0022-4715},
mrclass = {82B41 (28A80 60J65 60K35 83C45)},
mrnumber = {1964687},
doi = {10.1023/A:1022107818494},
url = {https://doi.org/10.1023/A:1022107818494}
}
@InCollection{ duplantier:03:introduction,
author = {Duplantier, Bertrand},
title = {Introduction \`a l'effet {C}asimir},
booktitle = {Poincar\'{e} {S}eminar 2002},
series = {Prog. Math. Phys.},
volume = {30},
pages = {53--69},
publisher = {Birkh\"{a}user, Basel},
year = {2003},
mrclass = {81T99 (81-02 81-05)},
mrnumber = {2169910}
}
@InCollection{ duplantier:04:conformal,
author = {Duplantier, Bertrand},
title = {Conformal fractal geometry \& boundary quantum gravity},
booktitle = {Fractal geometry and applications: a jubilee of
{B}eno\^{i}t {M}andelbrot, {P}art 2},
series = {Proc. Sympos. Pure Math.},
volume = {72},
pages = {365--482},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2004},
mrclass = {82B41 (05C80 31C20 60D05 60J45 60J65 60K35 83C45)},
mrnumber = {2112128}
}
@InCollection{ duplantier:06:brownian,
author = {Duplantier, Bertrand},
title = {Brownian motion, ``diverse and undulating''},
booktitle = {Einstein, 1905--2005},
series = {Prog. Math. Phys.},
volume = {47},
pages = {201--293},
note = {Translated from the French by Emily Parks},
publisher = {Birkh\"{a}user, Basel},
year = {2006},
mrclass = {82-03 (01A05 60-03 60J65 82B41)},
mrnumber = {2208205},
doi = {10.1007/3-7643-7436-5\_8},
url = {https://doi.org/10.1007/3-7643-7436-5_8}
}
@InCollection{ duplantier:06:conformal,
author = {Duplantier, Bertrand},
title = {Conformal random geometry},
booktitle = {Mathematical statistical physics},
pages = {101--217},
publisher = {Elsevier B. V., Amsterdam},
year = {2006},
mrclass = {82B27 (60J67 60K35 81T40 82-02 83C27)},
mrnumber = {2581884},
mrreviewer = {Roland M. Friedrich},
doi = {10.1016/S0924-8099(06)80040-5},
url = {https://doi.org/10.1016/S0924-8099(06)80040-5}
}
@InCollection{ duplantier:10:liouville,
author = {Duplantier, Bertrand},
title = {Liouville quantum gravity \& the {KPZ} relation: a
rigorous perspective},
booktitle = {X{VI}th {I}nternational {C}ongress on {M}athematical
{P}hysics},
pages = {56--85},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2010},
mrclass = {81T10 (60G57 81-02 81V17 83C47)},
mrnumber = {2730791},
doi = {10.1142/9789814304634\_0003},
url = {https://doi.org/10.1142/9789814304634_0003}
}
@InCollection{ duplantier:10:rigorous,
author = {Duplantier, B.},
title = {A rigorous perspective on {L}iouville quantum gravity and
the {KPZ} relation},
booktitle = {Exact methods in low-dimensional statistical physics and
quantum computing},
pages = {529--561},
publisher = {Oxford Univ. Press, Oxford},
year = {2010},
mrclass = {81T40 (81T27)},
mrnumber = {2668656},
mrreviewer = {Lee-Peng Teo}
}
@Article{ duplantier:13:b2-m,
author = {Duplantier, Bertrand},
title = {{$\mathbb{B}^2 \mathbb{M}$} \& {$\mathbb{MB}$}:
{B}eno\^{i}t {B}. {M}andelbrot et le mouvement brownien},
journal = {Gaz. Math.},
fjournal = {Gazette des Math\'{e}maticiens},
number = {136},
year = {2013},
pages = {61--113},
issn = {0224-8999},
mrclass = {60J65 (01A70 28A80 60-03 60G22)},
mrnumber = {3099254}
}
@InProceedings{ duplantier:14:liouville,
author = {Duplantier, Bertrand},
title = {Liouville quantum gravity, {KPZ} and {S}chramm-{L}oewner
evolution},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians---{S}eoul 2014. {V}ol. {III}},
pages = {1035--1061},
publisher = {Kyung Moon Sa, Seoul},
year = {2014},
mrclass = {81T40 (60J67 83C45)},
mrnumber = {3729063}
}
@Article{ duplantier:81:coefficient,
author = {Duplantier, Bertrand},
title = {Coefficient d'enlacement de vari\'{e}t\'{e}s en positions
al\'{e}atoires dans {${\bf R}^{n}$}},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus des S\'{e}ances de l'Acad\'{e}mie des
Sciences. S\'{e}rie I. Math\'{e}matique},
volume = {293},
year = {1981},
number = {15},
pages = {693--696},
issn = {0249-6291},
mrclass = {53C65 (82A43)},
mrnumber = {650538}
}
@Article{ duplantier:81:linking,
author = {Duplantier, B.},
title = {Linking numbers, contacts, and mutual inductances of a
random set of closed curves},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {82},
year = {1981/82},
number = {1},
pages = {41--68},
issn = {0010-3616},
mrclass = {53C65 (57M25 82A51)},
mrnumber = {638513},
url = {http://projecteuclid.org/euclid.cmp/1103920454}
}
@InCollection{ duplantier:89:fractal,
author = {Duplantier, Bertrand},
title = {Fractal critical phenomena in two dimensions and conformal
invariance},
booktitle = {Fractals' physical origin and properties ({E}rice, 1988)},
series = {Ettore Majorana Internat. Sci. Ser.: Phys. Sci.},
volume = {45},
pages = {83--121},
publisher = {Plenum, New York},
year = {1989},
mrclass = {82B27 (28A80 82B41 82B43)},
mrnumber = {1141391},
doi = {10.1007/978-1-4899-3499-4\_4},
url = {https://doi.org/10.1007/978-1-4899-3499-4_4}
}
@InCollection{ duplantier:89:fractals,
author = {Duplantier, Bertrand},
title = {Fractals in two dimensions and conformal invariance},
note = {Fractals in physics (Vence, 1989)},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {38},
year = {1989},
number = {1-3},
pages = {71--87},
issn = {0167-2789},
mrclass = {82A25 (58F13 82A43 82A51)},
mrnumber = {1017710},
mrreviewer = {Dimitri Petritis},
doi = {10.1016/0167-2789(89)90175-9},
url = {https://doi.org/10.1016/0167-2789(89)90175-9}
}
@InCollection{ duplantier:89:statistical,
author = {Duplantier, Bertrand},
title = {Statistical mechanics of self-avoiding crumpled
manifolds},
booktitle = {Statistical mechanics of membranes and surfaces
({J}erusalem, 1987/1988)},
series = {Jerusalem Winter School Theoret. Phys.},
volume = {5},
pages = {225--261},
publisher = {World Sci. Publ., Teaneck, NJ},
year = {1989},
mrclass = {82B41 (82B28)},
mrnumber = {1098098}
}
@InCollection{ duplantier:89:two-dimensional,
author = {Duplantier, Bertrand},
title = {Two-dimensional fractal geometry, critical phenomena and
conformal invariance},
note = {Common trends in statistical physics and field theory
(Carg\`ese, 1988)},
journal = {Phys. Rep.},
fjournal = {Physics Reports. A Review Section of Physics Letters},
volume = {184},
year = {1989},
number = {2-4},
pages = {229--257},
issn = {0370-1573},
mrclass = {82A68 (60K35 81E40)},
mrnumber = {1043488},
doi = {10.1016/0370-1573(89)90042-2},
url = {https://doi.org/10.1016/0370-1573(89)90042-2}
}
@InCollection{ duplantier:90:conformal,
author = {Duplantier, B.},
title = {Conformal invariance self-avoiding walks in the plane or
on a random surface},
booktitle = {Champs, cordes et ph\'{e}nom\`enes critiques ({L}es
{H}ouches, 1988)},
pages = {393--408},
publisher = {North-Holland, Amsterdam},
year = {1990},
mrclass = {82A42},
mrnumber = {1052939}
}
@Article{ duplantier:90:exact,
author = {Duplantier, Bertrand},
title = {Exact curvature energies of charged membranes of arbitrary
shapes},
journal = {Phys. A},
fjournal = {Physica A},
volume = {168},
year = {1990},
number = {1},
pages = {179--197},
issn = {0378-4371},
mrclass = {78A99 (31B35 35J05 92C99)},
mrnumber = {1077202},
doi = {10.1016/0378-4371(90)90369-4},
url = {https://doi.org/10.1016/0378-4371(90)90369-4}
}
@InCollection{ duplantier:90:renormalization,
author = {Duplantier, Bertrand},
title = {Renormalization and conformal invariance for polymers},
booktitle = {Fundamental problems in statistical mechanics {VII}
({A}ltenberg, 1989)},
pages = {171--223},
publisher = {North-Holland, Amsterdam},
year = {1990},
mrclass = {82B41 (82-02 82B28 82D60)},
mrnumber = {1103831},
mrreviewer = {Th\'{o}rdur J\'{o}nsson}
}
@InCollection{ duplantier:90:two-dimensional,
author = {Duplantier, Bertrand},
title = {Two-dimensional polymers and conformal invariance},
note = {Statistical physics (Rio de Janeiro, 1989)},
journal = {Phys. A},
fjournal = {Physica A},
volume = {163},
year = {1990},
number = {1},
pages = {158--182},
issn = {0378-4371},
mrclass = {82D60 (60D05 82B27)},
mrnumber = {1043645},
mrreviewer = {Dimitri Petritis},
doi = {10.1016/0378-4371(90)90326-N},
url = {https://doi.org/10.1016/0378-4371(90)90326-N}
}
@Article{ duplantier:91:can,
author = {Duplantier, Bertrand},
title = {Can one ``hear'' the thermodynamics of a (rough)
colloid?},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {66},
year = {1991},
number = {12},
pages = {1555--1558},
issn = {0031-9007},
mrclass = {82B41 (82D99)},
mrnumber = {1097334},
doi = {10.1103/PhysRevLett.66.1555},
url = {https://doi.org/10.1103/PhysRevLett.66.1555}
}
@InCollection{ duplantier:92:statistical,
author = {Duplantier, Bertrand},
title = {Statistical mechanics on a {$2$}{D}-random surface},
note = {Physics in two dimensions (Neuch\^{a}tal, 1991)},
journal = {Helv. Phys. Acta},
fjournal = {Helvetica Physica Acta. Physica Theoretica. Societatis
Physicae Helveticae Commentaria Publica},
volume = {65},
year = {1992},
number = {2-3},
pages = {291--296},
issn = {0018-0238},
mrclass = {82-02 (81-02 81T27 81T40)},
mrnumber = {1175464}
}
@Article{ duplantier:94:hyperscaling,
author = {Duplantier, Bertrand},
title = {Hyperscaling for polymer rings},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {430},
year = {1994},
number = {3},
pages = {489--533},
issn = {0550-3213},
mrclass = {82B20 (82B41 82D60)},
mrnumber = {1302877},
mrreviewer = {Anatoliy Yu. Zakharov},
doi = {10.1016/0550-3213(94)90157-0},
url = {https://doi.org/10.1016/0550-3213(94)90157-0}
}
@Article{ duplantier:98:random,
author = {Duplantier, Bertrand},
title = {Random walks and quantum gravity in two dimensions},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {81},
year = {1998},
number = {25},
pages = {5489--5492},
issn = {0031-9007},
mrclass = {83C45 (82B41)},
mrnumber = {1666816},
doi = {10.1103/PhysRevLett.81.5489},
url = {https://doi.org/10.1103/PhysRevLett.81.5489}
}
@InCollection{ duplantier:99:conformal,
author = {Duplantier, Bertrand},
title = {Conformal multifractality of random walks, polymers, and
percolation in two dimensions},
booktitle = {Fractals: theory and applications in engineering},
pages = {185--206},
publisher = {Springer, London},
year = {1999},
mrclass = {82B41 (60K35 82B43)},
mrnumber = {1726374}
}
@Article{ duplantier:99:harmonic,
author = {Duplantier, Bertrand},
title = {Harmonic measure exponents for two-dimensional
percolation},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {82},
year = {1999},
number = {20},
pages = {3940--3943},
issn = {0031-9007},
mrclass = {82B43 (82B41)},
mrnumber = {1688869},
doi = {10.1103/PhysRevLett.82.3940},
url = {https://doi.org/10.1103/PhysRevLett.82.3940}
}
@InCollection{ duplantier:99:random,
author = {Duplantier, Bertrand},
title = {Random walks, polymers, percolation, and quantum gravity
in two dimensions},
note = {STATPHYS 20 (Paris, 1998)},
journal = {Phys. A},
fjournal = {Physica A. Statistical Mechanics and its Applications},
volume = {263},
year = {1999},
number = {1-4},
pages = {452--465},
issn = {0378-4371},
mrclass = {82B41 (60K35 81T40 82B43)},
mrnumber = {1723364},
mrreviewer = {Bergfinnur Durhuus},
doi = {10.1016/S0378-4371(98)00638-4},
url = {https://doi.org/10.1016/S0378-4371(98)00638-4}
}
@Book{ dupuis.ellis:97:weak,
author = {Dupuis, Paul and Ellis, Richard S.},
title = {A weak convergence approach to the theory of large
deviations},
series = {Wiley Series in Probability and Statistics: Probability
and Statistics},
note = {A Wiley-Interscience Publication},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1997},
pages = {xviii+479},
isbn = {0-471-07672-4},
mrclass = {60F10 (60B10 60F17)},
mrnumber = {1431744},
mrreviewer = {Anatolii A. Pukhal{\cprime}skiu{i}},
doi = {10.1002/9781118165904},
url = {https://doi.org/10.1002/9781118165904}
}
@Article{ dupuis.zeitouni:96:nonstandard,
author = {Dupuis, Paul and Zeitouni, Ofer},
title = {A nonstandard form of the rate function for the occupation
measure of a {M}arkov chain},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {61},
year = {1996},
number = {2},
pages = {249--261},
issn = {0304-4149,1879-209X},
mrclass = {60F10 (60J10)},
mrnumber = {1386175},
mrreviewer = {Esa\ Nummelin},
doi = {10.1016/0304-4149(95)00084-4},
url = {https://doi.org/10.1016/0304-4149(95)00084-4}
}
@Article{ duquesne.labbe:14:on,
author = {Duquesne, Thomas and Labb\'{e}, Cyril},
title = {On the {E}ve property for {CSBP}},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
pages = {no. 6, 31},
mrclass = {60J80 (60G55)},
mrnumber = {3164759},
mrreviewer = {Romain Abraham},
doi = {10.1214/EJP.v19-2831},
url = {https://doi.org/10.1214/EJP.v19-2831}
}
@Article{ durhuus:94:multi-spin,
author = {Durhuus, B.},
title = {Multi-spin systems on a randomly triangulated surface},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {426},
year = {1994},
number = {1},
pages = {203--222},
issn = {0550-3213},
mrclass = {82B41 (81T40 82B20 82B27 82B28)},
mrnumber = {1293688},
mrreviewer = {Th\'{o}rdur J\'{o}nsson},
doi = {10.1016/0550-3213(94)90132-5},
url = {https://doi.org/10.1016/0550-3213(94)90132-5}
}
@Article{ durrett.fan:16:genealogies,
author = {Durrett, Rick and Fan, Wai-Tong},
title = {Genealogies in expanding populations},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {6},
pages = {3456--3490},
issn = {1050-5164},
mrclass = {60K35 (60H15 92C50)},
mrnumber = {3582808},
mrreviewer = {Nicolas Lanchier},
doi = {10.1214/16-AAP1181},
url = {https://doi.org/10.1214/16-AAP1181}
}
@Article{ durrett.iglehart.ea:77:weak,
author = {Durrett, Richard T. and Iglehart, Donald L. and Miller,
Douglas R.},
title = {Weak convergence to {B}rownian meander and {B}rownian
excursion},
journal = {Ann. Probability},
fjournal = {The Annals of Probability},
volume = {5},
year = {1977},
number = {1},
pages = {117--129},
issn = {0091-1798},
mrclass = {60J65},
mrnumber = {436353},
mrreviewer = {Douglas P. Kennedy},
doi = {10.1214/aop/1176995895},
url = {https://doi.org/10.1214/aop/1176995895}
}
@Book{ durrett.liggett.ea:12:interacting,
author = {Durrett, Rick and Liggett, Thomas M. and Spitzer, Frank
and Sznitman, Alain-Sol},
title = {Interacting particle systems at {S}aint-{F}lour},
series = {Probability at Saint-Flour},
publisher = {Springer, Heidelberg},
year = {2012},
pages = {viii+331},
isbn = {978-3-642-25297-6},
mrclass = {60-06 (60K35)},
mrnumber = {3075635}
}
@Article{ durrett.liggett:81:shape,
author = {Durrett, Richard and Liggett, Thomas M.},
title = {The shape of the limit set in {R}ichardson's growth
model},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {9},
year = {1981},
number = {2},
pages = {186--193},
issn = {0091-1798},
mrclass = {60K35 (92A15)},
mrnumber = {606981},
mrreviewer = {John C. Wierman},
url = {http://links.jstor.org/sici?sici=0091-1798(198104)9:2<186:TSOTLS>2.0.CO;2-H&origin=MSN}
}
@Article{ durrett.liggett:83:fixed,
author = {Durrett, Richard and Liggett, Thomas M.},
title = {Fixed points of the smoothing transformation},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {64},
year = {1983},
number = {3},
pages = {275--301},
issn = {0044-3719},
mrclass = {60G99 (60K35)},
mrnumber = {716487},
mrreviewer = {Hermann Rost},
doi = {10.1007/BF00532962},
url = {https://doi.org/10.1007/BF00532962}
}
@Article{ durrett.mytnik.ea:05:competing,
author = {Durrett, Richard and Mytnik, Leonid and Perkins, Edwin},
title = {Competing super-{B}rownian motions as limits of
interacting particle systems},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {10},
year = {2005},
pages = {no. 35, 1147--1220},
issn = {1083-6489},
mrclass = {60G57 (60G17)},
mrnumber = {2164042},
mrreviewer = {Jie Xiong},
doi = {10.1214/EJP.v10-229},
url = {https://doi.org/10.1214/EJP.v10-229}
}
@Book{ durrett:10:probability,
author = {Durrett, Rick},
title = {Probability: theory and examples},
series = {Cambridge Series in Statistical and Probabilistic
Mathematics},
volume = {31},
edition = {Fourth},
publisher = {Cambridge University Press, Cambridge},
year = {2010},
pages = {x+428},
isbn = {978-0-521-76539-8},
mrclass = {60-01},
mrnumber = {2722836},
doi = {10.1017/CBO9780511779398},
url = {https://doi.org/10.1017/CBO9780511779398}
}
@Book{ durrett:19:probability,
title = {Probability: Theory and Examples},
author = {Durrett, Rick},
year = {2019},
publisher = {Cambridge University Press}
}
@Book{ durrett:19:probability-theory,
author = {Durrett, Rick},
title = {Probability---theory and examples},
series = {Cambridge Series in Statistical and Probabilistic
Mathematics},
volume = {49},
note = {Fifth edition of [ MR1068527]},
publisher = {Cambridge University Press, Cambridge},
year = {2019},
pages = {xii+419},
isbn = {978-1-108-47368-2},
mrclass = {60-01 (37A30)},
mrnumber = {3930614},
doi = {10.1017/9781108591034},
url = {https://doi.org/10.1017/9781108591034}
}
@Article{ durrett:84:oriented,
author = {Durrett, Richard},
title = {Oriented percolation in two dimensions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {12},
year = {1984},
number = {4},
pages = {999--1040},
issn = {0091-1798},
mrclass = {60K35 (82A25 82A43)},
mrnumber = {757768},
mrreviewer = {R. T. Smythe},
url = {http://links.jstor.org/sici?sici=0091-1798(198411)12:4<999:OPITD>2.0.CO;2-4&origin=MSN}
}
@Book{ durrett:88:lecture,
author = {Durrett, Richard},
title = {Lecture notes on particle systems and percolation},
series = {The Wadsworth \& Brooks/Cole Statistics/Probability
Series},
publisher = {Wadsworth \& Brooks/Cole Advanced Books \& Software,
Pacific Grove, CA},
year = {1988},
pages = {viii+335},
isbn = {0-534-09462-7},
mrclass = {60K35 (82-02 82A43)},
mrnumber = {940469},
mrreviewer = {R. T. Smythe}
}
@Book{ durrett:96:probability,
author = {Durrett, Richard},
title = {Probability: theory and examples},
edition = {Second},
publisher = {Duxbury Press, Belmont, CA},
year = {1996},
pages = {xiii+503},
isbn = {0-534-24318-5},
mrclass = {60-01},
mrnumber = {1609153}
}
@Book{ dym.mckean:76:gaussian,
author = {Dym, H. and McKean, H. P.},
title = {Gaussian processes, function theory, and the inverse
spectral problem},
series = {Probability and Mathematical Statistics, Vol. 31},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
New York-London},
year = {1976},
pages = {xi+335},
mrclass = {60G25 (30A78 42A08)},
mrnumber = {0448523},
mrreviewer = {Shinichi Kotani}
}
@Article{ dynkin.mandelbaum:83:symmetric,
author = {Dynkin, E. B. and Mandelbaum, A.},
title = {Symmetric statistics, {P}oisson point processes, and
multiple {W}iener integrals},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {11},
year = {1983},
number = {3},
pages = {739--745},
issn = {0090-5364},
mrclass = {60F05 (62E10)},
mrnumber = {707925},
mrreviewer = {Richard A. Vitale},
doi = {10.1214/aos/1176346241},
url = {https://doi.org/10.1214/aos/1176346241}
}
@Book{ dynkin:63:markovskie-protsessy,
author = {Dynkin, E. B.},
title = {{\cyr Markovskie protsessy}},
publisher = {Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow},
year = {1963},
pages = {859},
mrclass = {60.60 (60.62)},
mrnumber = {0193670},
mrreviewer = {D. A. Darling}
}
@Book{ dynkin:65:markov,
author = {Dynkin, E. B.},
title = {Markov processes. {V}ols. {I}, {II}},
series = {Die Grundlehren der mathematischen Wissenschaften, Band
121},
volume = {122},
note = {Translated with the authorization and assistance of the
author by J. Fabius, V. Greenberg, A. Maitra, G. Majone},
publisher = {Springer-Verlag, Berlin-G\"{o}ttingen-Heidelberg; Academic
Press, Inc., Publishers, New York},
year = {1965},
pages = {Vol. I: xii+365 pp.; Vol. II: viii+274},
mrclass = {60.60 (60.62)},
mrnumber = {193671}
}
@Article{ dynkin:83:markov,
author = {Dynkin, E. B.},
title = {Markov processes as a tool in field theory},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {50},
year = {1983},
number = {2},
pages = {167--187},
issn = {0022-1236},
mrclass = {81E08 (60J25 81C20)},
mrnumber = {693227},
mrreviewer = {Robin Hudson},
doi = {10.1016/0022-1236(83)90066-6},
url = {https://doi.org/10.1016/0022-1236(83)90066-6}
}
@Article{ dynkin:84:gaussian,
author = {Dynkin, E. B.},
title = {Gaussian and non-{G}aussian random fields associated with
{M}arkov processes},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {55},
year = {1984},
number = {3},
pages = {344--376},
issn = {0022-1236},
mrclass = {60G20 (60G60 81E08)},
mrnumber = {734803},
mrreviewer = {Gerhard C. Hegerfeldt},
doi = {10.1016/0022-1236(84)90004-1},
url = {https://doi.org/10.1016/0022-1236(84)90004-1}
}
@Article{ dynkin:84:polynomials,
author = {Dynkin, E. B.},
title = {Polynomials of the occupation field and related random
fields},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {58},
year = {1984},
number = {1},
pages = {20--52},
issn = {0022-1236},
mrclass = {60G20 (60G60 81E08)},
mrnumber = {756768},
mrreviewer = {Gerhard C. Hegerfeldt},
doi = {10.1016/0022-1236(84)90031-4},
url = {https://doi.org/10.1016/0022-1236(84)90031-4}
}
@Article{ dyson.lieb.ea:78:phase,
author = {Dyson, Freeman J. and Lieb, Elliott H. and Simon, Barry},
title = {Phase transitions in quantum spin systems with isotropic
and nonisotropic interactions},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {18},
year = {1978},
number = {4},
pages = {335--383},
issn = {0022-4715,1572-9613},
mrclass = {82.47},
mrnumber = {496246},
mrreviewer = {Derek\ W.\ Robinson},
doi = {10.1007/BF01106729},
url = {https://doi.org/10.1007/BF01106729}
}
@InCollection{ dyson:11:foreword,
author = {Dyson, Freeman},
title = {Foreword},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {vii--ix},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60-03 (01A60)},
mrnumber = {2932620}
}
@Article{ dyson:62:brownian-motion,
author = {Dyson, Freeman J.},
title = {A {B}rownian-motion model for the eigenvalues of a random
matrix},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {3},
year = {1962},
pages = {1191--1198},
issn = {0022-2488},
mrclass = {81.60},
mrnumber = {148397},
mrreviewer = {G. K\"{a}ll\'{e}n},
doi = {10.1063/1.1703862},
url = {https://doi.org/10.1063/1.1703862}
}
@Article{ e.engquist:97:blowup,
author = {E, Weinan and Engquist, Bjorn},
title = {Blowup of solutions of the unsteady {P}randtl's equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {50},
year = {1997},
number = {12},
pages = {1287--1293},
issn = {0010-3640},
mrclass = {35Q35 (35B35 76D10)},
mrnumber = {1476316},
mrreviewer = {Sergey Nikolaevich Alekseenko},
doi = {10.1002/(SICI)1097-0312(199712)50:12<1287::AID-CPA4>3.0.CO;2-4},
url = {https://doi.org/10.1002/(SICI)1097-0312(199712)50:12<1287::AID-CPA4>3.0.CO;2-4}
}
@InCollection{ e.mattingly.ea:01:gibbsian,
author = {E, Weinan and Mattingly, J. C. and Sinai, Ya.},
title = {Gibbsian dynamics and ergodicity for the stochastically
forced {N}avier-{S}tokes equation},
note = {Dedicated to Joel L. Lebowitz},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {224},
year = {2001},
number = {1},
pages = {83--106},
issn = {0010-3616,1432-0916},
mrclass = {76D05 (35Q30 37L40 37N10 60H15)},
mrnumber = {1868992},
mrreviewer = {Bohdan\ Maslowski},
doi = {10.1007/s002201224083},
url = {https://doi.org/10.1007/s002201224083}
}
@Article{ e.mattingly:01:ergodicity,
author = {E, Weinan and Mattingly, Jonathan C.},
title = {Ergodicity for the {N}avier-{S}tokes equation with
degenerate random forcing: finite-dimensional
approximation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {54},
year = {2001},
number = {11},
pages = {1386--1402},
issn = {0010-3640,1097-0312},
mrclass = {76F55 (35Q30 37H99 37L40 60J60 76D05 76M35)},
mrnumber = {1846802},
mrreviewer = {Marco\ Romito},
doi = {10.1002/cpa.10007},
url = {https://doi.org/10.1002/cpa.10007}
}
@Article{ e:94:dynamics,
author = {E, Weinan},
title = {Dynamics of vortices in {G}inzburg-{L}andau theories with
applications to superconductivity},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {77},
year = {1994},
number = {4},
pages = {383--404},
issn = {0167-2789},
mrclass = {82D55 (35Q55)},
mrnumber = {1297726},
doi = {10.1016/0167-2789(94)90298-4},
url = {https://doi.org/10.1016/0167-2789(94)90298-4}
}
@Article{ ebrahimi-fard.patras.ea:20:hopf-algebraic,
author = {Ebrahimi-Fard, Kurusch and Patras, Fr\'{e}d\'{e}ric and
Tapia, Nikolas and Zambotti, Lorenzo},
title = {Hopf-algebraic deformations of products and {W}ick
polynomials},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2020},
number = {24},
pages = {10064--10099},
issn = {1073-7928,1687-0247},
mrclass = {16T15 (16T05 46N50 60L30)},
mrnumber = {4190397},
mrreviewer = {Malte\ Gerhold},
doi = {10.1093/imrn/rny269},
url = {https://doi.org/10.1093/imrn/rny269}
}
@Article{ ebrahimi-fard.patras.ea:22:wick,
author = {Ebrahimi-Fard, Kurusch and Patras, Fr\'{e}d\'{e}ric and
Tapia, Nikolas and Zambotti, Lorenzo},
title = {Wick polynomials in noncommutative probability: a
group-theoretical approach},
journal = {Canad. J. Math.},
fjournal = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
volume = {74},
year = {2022},
number = {6},
pages = {1673--1699},
issn = {0008-414X,1496-4279},
mrclass = {46L53 (16T05 17A30 46L54)},
mrnumber = {4520664},
doi = {10.4153/s0008414x21000407},
url = {https://doi.org/10.4153/s0008414x21000407}
}
@Article{ ebrahimi-fard.patras.ea:23:shifted,
author = {Ebrahimi-Fard, Kurusch and Patras, Fr\'{e}d\'{e}ric and
Tapia, Nikolas and Zambotti, Lorenzo},
title = {Shifted substitution in non-commutative multivariate power
series with a view toward free probability},
journal = {SIGMA Symmetry Integrability Geom. Methods Appl.},
fjournal = {SIGMA. Symmetry, Integrability and Geometry. Methods and
Applications},
volume = {19},
year = {2023},
pages = {Paper No. 038, 17},
issn = {1815-0659},
mrclass = {16T05 (16T10 16T30 17A30 46L53 46L54)},
mrnumber = {4598381},
mrreviewer = {Loic\ Foissy},
doi = {10.3842/SIGMA.2023.038},
url = {https://doi.org/10.3842/SIGMA.2023.038}
}
@Article{ eckmann.hairer:01:invariant,
author = {Eckmann, Jean-Pierre and Hairer, Martin},
title = {Invariant measures for stochastic partial differential
equations in unbounded domains},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {14},
year = {2001},
number = {1},
pages = {133--151},
issn = {0951-7715},
mrclass = {60H15 (35K57 35R60)},
mrnumber = {1808628},
mrreviewer = {Giambattista Giacomin},
doi = {10.1088/0951-7715/14/1/308},
url = {https://doi.org/10.1088/0951-7715/14/1/308}
}
@Article{ eckmann.hairer:01:uniqueness,
author = {Eckmann, J.-P. and Hairer, M.},
title = {Uniqueness of the invariant measure for a stochastic {PDE}
driven by degenerate noise},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {219},
year = {2001},
number = {3},
pages = {523--565},
issn = {0010-3616},
mrclass = {60H15 (82C24 82C31)},
mrnumber = {1838749},
mrreviewer = {Bohdan Maslowski},
doi = {10.1007/s002200100424},
url = {https://doi.org/10.1007/s002200100424}
}
@Article{ eckmann.pillet.ea:99:entropy,
author = {Eckmann, Jean-Pierre and Pillet, Claude-Alain and
Rey-Bellet, Luc},
title = {Entropy production in nonlinear, thermally driven
{H}amiltonian systems},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {95},
year = {1999},
number = {1-2},
pages = {305--331},
issn = {0022-4715},
mrclass = {82C70 (82C31)},
mrnumber = {1705589},
mrreviewer = {Nikolai Chernov},
doi = {10.1023/A:1004537730090},
url = {https://doi.org/10.1023/A:1004537730090}
}
@Article{ eckmann.wayne:89:largest,
author = {Eckmann, J.-P. and Wayne, C. E.},
title = {The largest {L}iapunov exponent for random matrices and
directed polymers in a random environment},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {121},
year = {1989},
number = {1},
pages = {147--175},
issn = {0010-3616},
mrclass = {60K35 (58F11 70K99 82A31 82A42)},
mrnumber = {985620},
mrreviewer = {Massimo Campanino},
url = {http://projecteuclid.org/euclid.cmp/1104178008}
}
@Article{ eckmann.wayne:98:non-linear,
author = {Eckmann, J.-P. and Wayne, C. E.},
title = {Non-linear stability analysis of higher-order dissipative
partial differential equations},
journal = {Math. Phys. Electron. J.},
fjournal = {Mathematical Physics Electronic Journal},
volume = {4},
year = {1998},
pages = {Paper 3, 20 pp.\},
issn = {1086-6655},
mrclass = {35B35 (35K55 35Q55)},
mrnumber = {1632397},
mrreviewer = {Arnaldo do Nascimento}
}
@Article{ eddahbi.lacayo.ea:05:regularity,
author = {Eddahbi, M. and Lacayo, R. and Sol\'e, J. L. and Vives, J.
and Tudor, C. A.},
title = {Regularity of the local time for the {$d$}-dimensional
fractional {B}rownian motion with {$N$}-parameters},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {23},
year = {2005},
number = {2},
pages = {383--400},
issn = {0736-2994,1532-9356},
mrclass = {60J55 (60G15 60H07)},
mrnumber = {2130355},
mrreviewer = {David\ Nualart},
doi = {10.1081/SAP-200050121},
url = {https://doi.org/10.1081/SAP-200050121}
}
@Article{ edelman.guionnet.ea:16:beyond,
author = {Edelman, Alan and Guionnet, A. and P\'ech\'e, S.},
title = {Beyond universality in random matrix theory},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {3},
pages = {1659--1697},
issn = {1050-5164,2168-8737},
mrclass = {60B20 (15B52)},
mrnumber = {3513602},
mrreviewer = {Thomas\ Kriecherbauer},
doi = {10.1214/15-AAP1129},
url = {https://doi.org/10.1214/15-AAP1129}
}
@Article{ edelman.sutton:07:from,
author = {Edelman, Alan and Sutton, Brian D.},
title = {From random matrices to stochastic operators},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {127},
year = {2007},
number = {6},
pages = {1121--1165},
issn = {0022-4715},
mrclass = {82B41 (15A52 34F05 34L99 47B36 47B80 47N50 60H99)},
mrnumber = {2331033},
doi = {10.1007/s10955-006-9226-4},
url = {https://doi.org/10.1007/s10955-006-9226-4}
}
@Article{ edelman:88:eigenvalues,
author = {Edelman, Alan},
title = {Eigenvalues and condition numbers of random matrices},
journal = {SIAM J. Matrix Anal. Appl.},
fjournal = {SIAM Journal on Matrix Analysis and Applications},
volume = {9},
year = {1988},
number = {4},
pages = {543--560},
issn = {0895-4798},
mrclass = {15A52 (62H10)},
mrnumber = {964668},
mrreviewer = {D. S. Tracy},
doi = {10.1137/0609045},
url = {https://doi.org/10.1137/0609045}
}
@InCollection{ edelsbrunner.harer:08:persistent,
author = {Edelsbrunner, Herbert and Harer, John},
title = {Persistent homology---a survey},
booktitle = {Surveys on discrete and computational geometry},
series = {Contemp. Math.},
volume = {453},
pages = {257--282},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2008},
mrclass = {55N35 (52-02 55T05 57M99 68W01)},
mrnumber = {2405684},
mrreviewer = {Greg Friedman},
doi = {10.1090/conm/453/08802},
url = {https://doi.org/10.1090/conm/453/08802}
}
@InCollection{ edelsbrunner.letscher.ea:02:topological,
author = {Edelsbrunner, Herbert and Letscher, David and Zomorodian,
Afra},
title = {Topological persistence and simplification},
note = {Discrete and computational geometry and graph drawing
(Columbia, SC, 2001)},
journal = {Discrete Comput. Geom.},
fjournal = {Discrete \& Computational Geometry. An International
Journal of Mathematics and Computer Science},
volume = {28},
year = {2002},
number = {4},
pages = {511--533},
issn = {0179-5376},
mrclass = {52B55 (65D18)},
mrnumber = {1949898},
mrreviewer = {H. W. Guggenheimer},
doi = {10.1007/s00454-002-2885-2},
url = {https://doi.org/10.1007/s00454-002-2885-2}
}
@InProceedings{ eden:61:two-dimensional,
author = {Eden, Murray},
title = {A two-dimensional growth process},
booktitle = {Proc. 4th {B}erkeley {S}ympos. {M}ath. {S}tatist. and
{P}rob., {V}ol. {IV}},
pages = {223--239},
publisher = {Univ. California Press, Berkeley-Los Angeles, Calif.},
year = {1961},
mrclass = {92.10 (92.30)},
mrnumber = {136460},
mrreviewer = {H. L. Frisch}
}
@Book{ edgar.sucheston:92:stopping,
author = {Edgar, G. A. and Sucheston, Louis},
title = {Stopping times and directed processes},
series = {Encyclopedia of Mathematics and its Applications},
volume = {47},
publisher = {Cambridge University Press, Cambridge},
year = {1992},
pages = {xii+428},
isbn = {0-521-35023-9},
mrclass = {60G48 (28A50 47D07 47N30)},
mrnumber = {1191395},
mrreviewer = {U. Krengel},
doi = {10.1017/CBO9780511574740},
url = {https://doi.org/10.1017/CBO9780511574740}
}
@Article{ edmunds.triebel:89:entropy,
author = {Edmunds, D. E. and Triebel, H.},
title = {Entropy numbers and approximation numbers in function
spaces},
journal = {Proc. London Math. Soc. (3)},
fjournal = {Proceedings of the London Mathematical Society. Third
Series},
volume = {58},
year = {1989},
number = {1},
pages = {137--152},
issn = {0024-6115},
mrclass = {46E35 (41A46 47B10)},
mrnumber = {969551},
mrreviewer = {J. S. Martins},
doi = {10.1112/plms/s3-58.1.137},
url = {https://doi.org/10.1112/plms/s3-58.1.137}
}
@Book{ edmunds.triebel:96:function,
author = {Edmunds, D. E. and Triebel, H.},
title = {Function spaces, entropy numbers, differential operators},
series = {Cambridge Tracts in Mathematics},
volume = {120},
publisher = {Cambridge University Press, Cambridge},
year = {1996},
pages = {xii+252},
isbn = {0-521-56036-5},
mrclass = {46E35 (35J70 35P15 35P20 47B06 47G30)},
mrnumber = {1410258},
mrreviewer = {Georgi E. Karadzhov},
doi = {10.1017/CBO9780511662201},
url = {https://doi.org/10.1017/CBO9780511662201}
}
@Article{ edwards.wilkinson:82:surface,
author = {Edwards, Samuel Frederick and Wilkinson, D. R.},
title = {The surface statistics of a granular aggregate},
journal = {Proc. R. Soc. London A},
fjournal = {Proceedings of the Royal Society of London. A.
Mathematical and Physical Sciences},
volume = {381},
number = {1780},
pages = {17--31},
year = {1982},
doi = {10.1098/rspa.1982.0056},
url = {https://royalsocietypublishing.org/doi/abs/10.1098/rspa.1982.0056},
eprint = {https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1982.0056}
}
@Article{ edwards:65:statistical,
author = {Edwards, S. F.},
title = {The statistical mechanics of polymers with excluded
volume},
journal = {Proc. Phys. Soc.},
volume = {85},
year = {1965},
pages = {613--624},
mrclass = {82.60},
mrnumber = {0183442},
mrreviewer = {C. Domb}
}
@Article{ ehrhardt.rider:13:perturbed,
author = {Ehrhardt, Torsten and Rider, Brian},
title = {Perturbed {T}oeplitz operators and radial determinantal
processes},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {49},
year = {2013},
number = {4},
pages = {934--960},
issn = {0246-0203},
mrclass = {60B20 (47B35 60F05)},
mrnumber = {3127908},
doi = {10.1214/12-AIHP501},
url = {https://doi.org/10.1214/12-AIHP501}
}
@Article{ eichinger.gnann.ea:22:multiscale,
author = {Eichinger, Katharina and Gnann, Manuel V. and Kuehn,
Christian},
title = {Multiscale analysis for traveling-pulse solutions to the
stochastic {F}itz{H}ugh-{N}agumo equations},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {32},
year = {2022},
number = {5},
pages = {3229--3282},
issn = {1050-5164},
mrclass = {35C07 (35K57 60H15)},
mrnumber = {4497845},
doi = {10.1214/21-aap1759},
url = {https://doi.org/10.1214/21-aap1759}
}
@Article{ eichinger.vandenboom.ea:19:kdv,
author = {Eichinger, B. and VandenBoom, T. and Yuditskii, P.},
title = {Kd{V} hierarchy via abelian coverings and operator
identities},
journal = {Trans. Amer. Math. Soc. Ser. B},
fjournal = {Transactions of the American Mathematical Society. Series
B},
volume = {6},
year = {2019},
pages = {1--44},
mrclass = {37K10 (34L40 35Q53 37K15)},
mrnumber = {3894927},
mrreviewer = {Julia Bernatska},
doi = {10.1090/btran/30},
url = {https://doi.org/10.1090/btran/30}
}
@Article{ eidelman.ivasisen:70:investigation,
author = {Eidelman, S. D. and Ivasi\v{s}en, S. D.},
title = {Investigation of the {G}reen's matrix of a homogeneous
parabolic boundary value problem},
journal = {Trudy Moskov. Mat. Ob\v{s}\v{c}.},
fjournal = {Trudy Moskovskogo Matemati\v{c}eskogo Ob\v{s}\v{c}estva},
volume = {23},
year = {1970},
pages = {179--234},
issn = {0134-8663},
mrclass = {35K50 (35J55)},
mrnumber = {367455},
mrreviewer = {J. Ka\v{c}ur}
}
@Book{ eidelman.ivasyshen.ea:04:analytic,
author = {Eidelman, Samuil D. and Ivasyshen, Stepan D. and Kochubei,
Anatoly N.},
title = {Analytic methods in the theory of differential and
pseudo-differential equations of parabolic type},
series = {Operator Theory: Advances and Applications},
volume = {152},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {2004},
pages = {x+387},
isbn = {3-7643-7115-3},
mrclass = {35-06 (35A08 35K30 35K45 35K55 35K65 35S10)},
mrnumber = {2093219},
mrreviewer = {Vladimir Tulovsky},
doi = {10.1007/978-3-0348-7844-9},
url = {https://doi.org/10.1007/978-3-0348-7844-9}
}
@Article{ eidelman.kochubei:04:cauchy,
author = {Eidelman, Samuil D. and Kochubei, Anatoly N.},
title = {Cauchy problem for fractional diffusion equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {199},
year = {2004},
number = {2},
pages = {211--255},
issn = {0022-0396},
mrclass = {26A33 (35K15)},
mrnumber = {2047909},
mrreviewer = {Paulius Mi\v{s}kinis},
doi = {10.1016/j.jde.2003.12.002},
url = {https://doi.org/10.1016/j.jde.2003.12.002}
}
@Book{ eidelman.zhitarashu:98:parabolic,
author = {Eidelman, Samuil D. and Zhitarashu, Nicolae V.},
title = {Parabolic boundary value problems},
series = {Operator Theory: Advances and Applications},
volume = {101},
note = {Translated from the Russian original by Gennady Pasechnik
and Andrei Iacob},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {1998},
pages = {xii+298},
isbn = {3-7643-2972-6},
mrclass = {35K20 (35-02)},
mrnumber = {1632789},
mrreviewer = {P. Szeptycki},
doi = {10.1007/978-3-0348-8767-0},
url = {https://doi.org/10.1007/978-3-0348-8767-0}
}
@Article{ einstein:05:uber,
author = {Einstein, A.},
title = {\"{U}ber die von der molekularkinetischen Theorie der
W\"{a}rme geforderte Bewegung von in ruhenden
Fl\"{u}ssigkeiten suspendierten Teilchen},
journal = {Annalen der Physik},
volume = {322},
number = {8},
pages = {549--560},
doi = {https://doi.org/10.1002/andp.19053220806},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.19053220806},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/andp.19053220806},
year = {1905}
}
@Book{ einstein:56:investigations,
author = {Einstein, Albert},
title = {Investigations on the theory of the {B}rownian movement},
note = {Edited with notes by R. F\"{u}rth, Translated by A. D.
Cowper},
publisher = {Dover Publications, Inc., New York},
year = {1956},
pages = {vi+122},
mrclass = {80.1X},
mrnumber = {0077443}
}
@Article{ eisele:83:on,
author = {Eisele, Theodor},
title = {On a third-order phase transition},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {90},
year = {1983},
number = {1},
pages = {125--159},
issn = {0010-3616},
mrclass = {82A25 (82A42)},
mrnumber = {714615},
mrreviewer = {B. Derrida},
url = {http://projecteuclid.org/euclid.cmp/1103940230}
}
@Article{ eisenbaum.foondun.ea:11:dynkins,
author = {Eisenbaum, Nathalie and Foondun, Mohammud and
Khoshnevisan, Davar},
title = {Dynkin's isomorphism theorem and the stochastic heat
equation},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {34},
year = {2011},
number = {3},
pages = {243--260},
issn = {0926-2601},
mrclass = {60J55 (35R60 60H15)},
mrnumber = {2782972},
mrreviewer = {Ruhollah Jahanipur},
doi = {10.1007/s11118-010-9193-x},
url = {https://doi.org/10.1007/s11118-010-9193-x}
}
@Article{ eisenbaum.kaspi.ea:00:ray-knight,
author = {Eisenbaum, Nathalie and Kaspi, Haya and Marcus, Michael B.
and Rosen, Jay and Shi, Zhan},
title = {A {R}ay-{K}night theorem for symmetric {M}arkov
processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {4},
pages = {1781--1796},
issn = {0091-1798,2168-894X},
mrclass = {60J55},
mrnumber = {1813843},
mrreviewer = {Joanna\ B.\ Mitro},
doi = {10.1214/aop/1019160507},
url = {https://doi.org/10.1214/aop/1019160507}
}
@Article{ eisenbaum.khoshnevisan:02:on,
author = {Eisenbaum, Nathalie and Khoshnevisan, Davar},
title = {On the most visited sites of symmetric {M}arkov
processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {101},
year = {2002},
number = {2},
pages = {241--256},
issn = {0304-4149},
mrclass = {60J25},
mrnumber = {1931268},
mrreviewer = {Hac\`ene Boutabia},
doi = {10.1016/S0304-4149(02)00128-X},
url = {https://doi.org/10.1016/S0304-4149(02)00128-X}
}
@Article{ ekhaus.seppalainen:96:stochastic,
author = {Ekhaus, Michael and Sepp\"{a}l\"{a}inen, Timo},
title = {Stochastic dynamics macroscopically governed by the porous
medium equation for isothermal flow},
journal = {Ann. Acad. Sci. Fenn. Math.},
fjournal = {Academi\ae Scientiarum Fennic\ae . Annales. Mathematica},
volume = {21},
year = {1996},
number = {2},
pages = {309--352},
issn = {0066-1953},
mrclass = {60K35 (76S05 82C22)},
mrnumber = {1404089},
mrreviewer = {Pablo A. Ferrari}
}
@Article{ el-karoui:07:tracy-widom,
author = {El Karoui, Noureddine},
title = {Tracy-{W}idom limit for the largest eigenvalue of a large
class of complex sample covariance matrices},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {2},
pages = {663--714},
issn = {0091-1798},
mrclass = {60F05 (47B35 62E20)},
mrnumber = {2308592},
mrreviewer = {Ofer Zeitouni},
doi = {10.1214/009117906000000917},
url = {https://doi.org/10.1214/009117906000000917}
}
@InCollection{ el-karoui:11:multivariate,
author = {El Karoui, Noureddine},
title = {Multivariate statistics},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {578--596},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {62H12 (60B20 62F12 62H25)},
mrnumber = {2932648},
mrreviewer = {Alexander G. Kukush}
}
@Article{ el-sayed.rida.ea:09:on,
author = {El-Sayed, A. M. A. and Rida, S. Z. and Arafa, A. A. M.},
title = {On the solutions of time-fractional bacterial chemotaxis
in a diffusion gradient chamber},
journal = {Int. J. Nonlinear Sci.},
fjournal = {International Journal of Nonlinear Science},
volume = {7},
year = {2009},
number = {4},
pages = {485--492},
issn = {1749-3889},
mrclass = {35K57 (35R11 92C17)},
mrnumber = {2539181}
}
@Article{ el-showk.paulos.ea:14:solving,
author = {El-Showk, Sheer and Paulos, Miguel F. and Poland, David
and Rychkov, Slava and Simmons-Duffin, David and Vichi,
Alessandro},
title = {Solving the 3d {I}sing model with the conformal bootstrap
{II}. {$c$}-minimization and precise critical exponents},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {157},
year = {2014},
number = {4-5},
pages = {869--914},
issn = {0022-4715},
mrclass = {82B20 (81T25 81T40 81V10)},
mrnumber = {3269694},
doi = {10.1007/s10955-014-1042-7},
url = {https://doi.org/10.1007/s10955-014-1042-7}
}
@Article{ elad-altman.zambotti:20:bessel,
author = {Elad Altman, Henri and Zambotti, Lorenzo},
title = {Bessel {SPDE}s and renormalised local times},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {176},
year = {2020},
number = {3-4},
pages = {757--807},
issn = {0178-8051,1432-2064},
mrclass = {60H15 (60J46 60J55)},
mrnumber = {4087483},
doi = {10.1007/s00440-019-00926-0},
url = {https://doi.org/10.1007/s00440-019-00926-0}
}
@Article{ eldan.koehler.ea:22:spectral,
author = {Eldan, Ronen and Koehler, Frederic and Zeitouni, Ofer},
title = {A spectral condition for spectral gap: fast mixing in
high-temperature {I}sing models},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {182},
year = {2022},
number = {3-4},
pages = {1035--1051},
issn = {0178-8051,1432-2064},
mrclass = {60J10 (60J27 60J46 82C20)},
mrnumber = {4408509},
doi = {10.1007/s00440-021-01085-x},
url = {https://doi.org/10.1007/s00440-021-01085-x}
}
@Article{ elliott.songmu:86:on,
author = {Elliott, Charles M. and Songmu, Zheng},
title = {On the {C}ahn-{H}illiard equation},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {96},
year = {1986},
number = {4},
pages = {339--357},
issn = {0003-9527},
mrclass = {80A15 (35Q20 65N30)},
mrnumber = {855754},
mrreviewer = {G. A. Nariboli},
doi = {10.1007/BF00251803},
url = {https://doi.org/10.1007/BF00251803}
}
@Article{ ellis.newman.ea:80:limit,
author = {Ellis, Richard S. and Newman, Charles M. and Rosen, Jay
S.},
title = {Limit theorems for sums of dependent random variables
occurring in statistical mechanics. {II}. {C}onditioning,
multiple phases, and metastability},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte
Gebiete},
volume = {51},
year = {1980},
number = {2},
pages = {153--169},
issn = {0044-3719},
mrclass = {82A05 (60F05)},
mrnumber = {566313},
mrreviewer = {D.\ Sz\'asz},
doi = {10.1007/BF00536186},
url = {https://doi.org/10.1007/BF00536186}
}
@Article{ ellis.rosen:81:asymptotic,
author = {Ellis, Richard S. and Rosen, Jay S.},
title = {Asymptotic analysis of {G}aussian integrals. {II}.
{M}anifold of minimum points},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {82},
year = {1981/82},
number = {2},
pages = {153--181},
issn = {0010-3616,1432-0916},
mrclass = {60G15 (28C20 58D20 81C35)},
mrnumber = {639055},
mrreviewer = {S.\ R. S. Varadhan},
url = {http://projecteuclid.org/euclid.cmp/1103920517}
}
@Article{ ellis.rosen:82:asymptotic,
author = {Ellis, Richard S. and Rosen, Jay S.},
title = {Asymptotic analysis of {G}aussian integrals. {I}.
{I}solated minimum points},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {273},
year = {1982},
number = {2},
pages = {447--481},
issn = {0002-9947,1088-6850},
mrclass = {60G15 (28C20 58D20 81C35)},
mrnumber = {667156},
mrreviewer = {S.\ R. S. Varadhan},
doi = {10.2307/1999924},
url = {https://doi.org/10.2307/1999924}
}
@Article{ ellis:73:some,
author = {Ellis, Alan J.},
title = {Some applications of convexity theory to {B}anach
algebras},
journal = {Math. Scand.},
fjournal = {Mathematica Scandinavica},
volume = {33},
year = {1973},
pages = {23--30},
issn = {0025-5521},
mrclass = {46H05},
mrnumber = {336340},
mrreviewer = {Aldo J. Lazar},
doi = {10.7146/math.scand.a-11468},
url = {https://doi.org/10.7146/math.scand.a-11468}
}
@Proceedings{ ellwood.newman.ea:12:probability,
title = {Probability and statistical physics in two and more
dimensions},
series = {Clay Mathematics Proceedings},
volume = {15},
booktitle = {Proceedings of the {C}lay {M}athematics {I}nstitute
{S}ummer {S}chool and {XIV} {B}razilian {S}chool of
{P}robability held in {B}\'{u}zios, {J}uly 11--{A}ugust 7,
2010},
author = {Ellwood, David and Newman, Charles and Sidoravicius,
Vladas and Werner, Wendelin},
publisher = {American Mathematical Society, Providence, RI; Clay
Mathematics Institute, Cambridge, MA},
year = {2012},
pages = {x+467},
isbn = {978-0-8218-6863-8},
mrclass = {60-06 (60J67 60K35 82-06)},
mrnumber = {3059543}
}
@InCollection{ emery:79:topologie,
author = {Emery, M.},
title = {Une topologie sur l'espace des semimartingales},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XIII} ({U}niv.
{S}trasbourg, {S}trasbourg, 1977/78)},
series = {Lecture Notes in Math.},
volume = {721},
pages = {260--280},
publisher = {Springer, Berlin},
year = {1979},
mrclass = {60G44 (60H20)},
mrnumber = {544800},
mrreviewer = {Philip Protter}
}
@Article{ emile-borel:09:probabilites,
author = {{\'E}mile Borel, M.},
title = {Les probabilit{\'e}s d{\'e}nombrables et leurs
applications arithm{\'e}tiques},
journal = {Rendiconti del Circolo Matematico di Palermo (1884-1940)},
year = {1909},
month = {Dec},
day = {01},
volume = {27},
number = {1},
pages = {247--271},
issn = {0009-725X},
doi = {10.1007/BF03019651},
url = {https://doi.org/10.1007/BF03019651}
}
@Article{ emrah.janjigian.ea:21:flats,
author = {Emrah, Elnur and Janjigian, Christopher and
Sepp\"{a}l\"{a}inen, Timo},
title = {Flats, spikes and crevices: the evolving shape of the
inhomogeneous corner growth model},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {26},
year = {2021},
pages = {Paper No. 33, 45},
mrclass = {60K35 (60K37)},
mrnumber = {4235484},
doi = {10.1214/21-EJP595},
url = {https://doi.org/10.1214/21-EJP595}
}
@Article{ enaud.derrida:04:large,
author = {Enaud, C. and Derrida, B.},
title = {Large deviation functional of the weakly asymmetric
exclusion process},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {114},
year = {2004},
number = {3-4},
pages = {537--562},
issn = {0022-4715,1572-9613},
mrclass = {82C22 (60F10 60K35)},
mrnumber = {2035624},
mrreviewer = {Ellen\ Saada},
doi = {10.1023/B:JOSS.0000012501.43746.cf},
url = {https://doi.org/10.1023/B:JOSS.0000012501.43746.cf}
}
@Book{ engel.nagel:00:one-parameter,
author = {Engel, Klaus-Jochen and Nagel, Rainer},
title = {One-parameter semigroups for linear evolution equations},
series = {Graduate Texts in Mathematics},
volume = {194},
note = {With contributions by S. Brendle, M. Campiti, T. Hahn, G.
Metafune, G. Nickel, D. Pallara, C. Perazzoli, A. Rhandi,
S. Romanelli and R. Schnaubelt},
publisher = {Springer-Verlag, New York},
year = {2000},
pages = {xxii+586},
isbn = {0-387-98463-1},
mrclass = {47D06 (34G10 35K90 47N20)},
mrnumber = {1721989},
mrreviewer = {C. J. K. Batty}
}
@InCollection{ engelbert.schmidt:81:on,
author = {Engelbert, H. J. and Schmidt, W.},
title = {On the behaviour of certain functionals of the {W}iener
process and applications to stochastic differential
equations},
booktitle = {Stochastic differential systems ({V}isegr\'{a}d, 1980)},
series = {Lecture Notes in Control and Information Sci.},
volume = {36},
pages = {47--55},
publisher = {Springer, Berlin-New York},
year = {1981},
mrclass = {60J65 (60H10)},
mrnumber = {653645},
mrreviewer = {Constantin Tudor}
}
@Article{ engelbert.schmidt:84:on,
author = {Engelbert, H. J. and Schmidt, W.},
title = {On exponential local martingales connected with diffusion
processes},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {119},
year = {1984},
pages = {97--115},
issn = {0025-584X},
mrclass = {60G44 (60J60)},
mrnumber = {774179},
mrreviewer = {Dominique L\'{e}pingle},
doi = {10.1002/mana.19841190108},
url = {https://doi.org/10.1002/mana.19841190108}
}
@Article{ engelbert.schmidt:85:on,
author = {Engelbert, H. J. and Schmidt, W.},
title = {On solutions of one-dimensional stochastic differential
equations without drift},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {68},
year = {1985},
number = {3},
pages = {287--314},
issn = {0044-3719},
mrclass = {60H10},
mrnumber = {771468},
mrreviewer = {M. M\'{e}tivier},
doi = {10.1007/BF00532642},
url = {https://doi.org/10.1007/BF00532642}
}
@Article{ englander:08:quenched,
author = {Engl\"{a}nder, J\'{a}nos},
title = {Quenched law of large numbers for branching {B}rownian
motion in a random medium},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {44},
year = {2008},
number = {3},
pages = {490--518},
issn = {0246-0203},
mrclass = {60J65 (60F10 60J80 60K37)},
mrnumber = {2451055},
mrreviewer = {Yanxia Ren},
doi = {10.1214/07-AIHP155},
url = {https://doi.org/10.1214/07-AIHP155}
}
@Article{ engler:97:similarity,
author = {Engler, Hans},
title = {Similarity solutions for a class of hyperbolic
integrodifferential equations},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {10},
year = {1997},
number = {5},
pages = {815--840},
issn = {0893-4983},
mrclass = {45K05 (35L99 45D05)},
mrnumber = {1741754},
mrreviewer = {Gustaf Gripenberg}
}
@Article{ engy.mly.ea:94:roughness,
title = {Roughness of Two-Dimensional Cracks in Wood},
author = {Eng\o{}y, Thor and M\aa{}l\o{}y, Knut J\o{}rgen and
Hansen, Alex and Roux, St\'ephane},
journal = {Phys. Rev. Lett.},
volume = {73},
issue = {6},
pages = {834--837},
numpages = {0},
year = {1994},
month = {Aug},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.73.834},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.73.834}
}
@Article{ epshteyn.izmirlioglu:09:fully,
author = {Epshteyn, Yekaterina and Izmirlioglu, Ahmet},
title = {Fully discrete analysis of a discontinuous finite element
method for the {K}eller-{S}egel chemotaxis model},
journal = {J. Sci. Comput.},
fjournal = {Journal of Scientific Computing},
volume = {40},
year = {2009},
number = {1-3},
pages = {211--256},
issn = {0885-7474},
mrclass = {65M60 (92C17)},
mrnumber = {2511733},
doi = {10.1007/s10915-009-9281-5},
url = {https://doi.org/10.1007/s10915-009-9281-5}
}
@Article{ epshteyn.kurganov:08:new,
author = {Epshteyn, Yekaterina and Kurganov, Alexander},
title = {New interior penalty discontinuous {G}alerkin methods for
the {K}eller-{S}egel chemotaxis model},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {47},
year = {2008/09},
number = {1},
pages = {386--408},
issn = {0036-1429},
mrclass = {92C17 (35K57 65M60 92-08)},
mrnumber = {2475945},
mrreviewer = {Bisso Saley},
doi = {10.1137/07070423X},
url = {https://doi.org/10.1137/07070423X}
}
@Article{ epshteyn.xia:19:efficient,
author = {Epshteyn, Yekaterina and Xia, Qing},
title = {Efficient numerical algorithms based on difference
potentials for chemotaxis systems in 3{D}},
journal = {J. Sci. Comput.},
fjournal = {Journal of Scientific Computing},
volume = {80},
year = {2019},
number = {1},
pages = {26--59},
issn = {0885-7474},
mrclass = {65M06 (35K45 35K57 65M08 92C17)},
mrnumber = {3954435},
doi = {10.1007/s10915-019-00928-z},
url = {https://doi.org/10.1007/s10915-019-00928-z}
}
@Article{ epshteyn:09:discontinuous,
author = {Epshteyn, Yekaterina},
title = {Discontinuous {G}alerkin methods for the chemotaxis and
haptotaxis models},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {224},
year = {2009},
number = {1},
pages = {168--181},
issn = {0377-0427},
mrclass = {92-08 (65M60 92C17)},
mrnumber = {2474222},
doi = {10.1016/j.cam.2008.04.030},
url = {https://doi.org/10.1016/j.cam.2008.04.030}
}
@Article{ erbar.kuwada.ea:15:on,
author = {Erbar, Matthias and Kuwada, Kazumasa and Sturm,
Karl-Theodor},
title = {On the equivalence of the entropic curvature-dimension
condition and {B}ochner's inequality on metric measure
spaces},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {201},
year = {2015},
number = {3},
pages = {993--1071},
issn = {0020-9910},
mrclass = {53C23},
mrnumber = {3385639},
mrreviewer = {Fabrice Baudoin},
doi = {10.1007/s00222-014-0563-7},
url = {https://doi.org/10.1007/s00222-014-0563-7}
}
@Article{ erd-os.peche.ea:10:bulk,
author = {Erd\H os, L\'aszl\'o{} and P\'ech\'e, Sandrine and
Ram\'irez, Jos\'e{} A. and Schlein, Benjamin and Yau, Horng-Tzer},
title = {Bulk universality for {W}igner matrices},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {63},
year = {2010},
number = {7},
pages = {895--925},
issn = {0010-3640,1097-0312},
mrclass = {60B20 (82B44)},
mrnumber = {2662426},
mrreviewer = {Sasha\ Sodin},
doi = {10.1002/cpa.20317},
url = {https://doi.org/10.1002/cpa.20317}
}
@Book{ erdelyi.magnus.ea:53:higher,
author = {Erd\'{e}lyi, Arthur and Magnus, Wilhelm and Oberhettinger,
Fritz and Tricomi, Francesco G.},
title = {Higher transcendental functions. {V}ols. {I}, {II}},
note = {Based, in part, on notes left by Harry Bateman},
publisher = {McGraw-Hill Book Co., Inc., New York-Toronto-London},
year = {1953},
pages = {xxvi+302, xvii+396},
mrclass = {33.0X},
mrnumber = {58756},
mrreviewer = {E. T. Copson}
}
@Book{ erdelyi.magnus.ea:54:tables,
author = {Erd\'{e}lyi, A. and Magnus, W. and Oberhettinger, F. and
Tricomi, F. G.},
title = {Tables of integral transforms. {V}ol. {I}},
note = {Based, in part, on notes left by Harry Bateman},
publisher = {McGraw-Hill Book Company, Inc., New York-Toronto-London},
year = {1954},
pages = {xx+391},
mrclass = {42.4X},
mrnumber = {0061695},
mrreviewer = {H. Kober}
}
@Book{ erdelyi.magnus.ea:54:tables*1,
author = {Erd\'{e}lyi, A. and Magnus, W. and Oberhettinger, F. and
Tricomi, F. G.},
title = {Tables of integral transforms. {V}ol. {II}},
note = {Based, in part, on notes left by Harry Bateman},
publisher = {McGraw-Hill Book Company, Inc., New York-Toronto-London},
year = {1954},
pages = {xvi+451},
mrclass = {42.4X},
mrnumber = {0065685},
mrreviewer = {H. Kober}
}
@Book{ erdelyi.magnus.ea:81:higher,
author = {Erd\'{e}lyi, Arthur and Magnus, Wilhelm and Oberhettinger,
Fritz and Tricomi, Francesco G.},
title = {Higher transcendental functions. {V}ol. {II}},
note = {Based on notes left by Harry Bateman, Reprint of the 1953
original},
publisher = {Robert E. Krieger Publishing Co., Inc., Melbourne, Fla.},
year = {1981},
pages = {xviii+396},
isbn = {0-89874-069-X},
mrclass = {33-02 (01A75)},
mrnumber = {698780}
}
@Book{ erdelyi.magnus.ea:81:higher*1,
author = {Erd\'{e}lyi, Arthur and Magnus, Wilhelm and Oberhettinger,
Fritz and Tricomi, Francesco G.},
title = {Higher transcendental functions. {V}ol. {I}},
note = {Based on notes left by Harry Bateman, With a preface by
Mina Rees, With a foreword by E. C. Watson, Reprint of the
1953 original},
publisher = {Robert E. Krieger Publishing Co., Inc., Melbourne, Fla.},
year = {1981},
pages = {xiii+302},
isbn = {0-89874-069-X},
mrclass = {33-02 (01A75)},
mrnumber = {698779}
}
@Book{ erdelyi.magnus.ea:81:higher*2,
author = {Erd\'{e}lyi, Arthur and Magnus, Wilhelm and Oberhettinger,
Fritz and Tricomi, Francesco G.},
title = {Higher transcendental functions. {V}ol. {III}},
note = {Based on notes left by Harry Bateman, Reprint of the 1955
original},
publisher = {Robert E. Krieger Publishing Co., Inc., Melbourne, Fla.},
year = {1981},
pages = {xvii+292},
isbn = {0-89874-069-X},
mrclass = {33-02 (01A75)},
mrnumber = {698781}
}
@Book{ erdelyi:56:asymptotic,
author = {Erd\'{e}lyi, A.},
title = {Asymptotic expansions},
publisher = {Dover Publications, Inc., New York},
year = {1956},
pages = {vi+108},
mrclass = {42.1X},
mrnumber = {0078494},
mrreviewer = {N. D. Kazarinoff}
}
@Article{ erdem.ceyhan.ea:14:new,
author = {Erdem, Orhan and Ceyhan, Elvan and Varli, Yusuf},
title = {A new correlation coefficient for bivariate time-series
data},
journal = {Phys. A},
fjournal = {Physica A. Statistical Mechanics and its Applications},
volume = {414},
year = {2014},
pages = {274--284},
issn = {0378-4371,1873-2119},
mrclass = {62M10},
mrnumber = {3251804},
mrreviewer = {Paulo\ Serra},
doi = {10.1016/j.physa.2014.07.054},
url = {https://doi.org/10.1016/j.physa.2014.07.054}
}
@Book{ erdi.toth:89:mathematical,
author = {\'{E}rdi, P. and T\'{o}th, J.},
title = {Mathematical models of chemical reactions},
series = {Nonlinear Science: Theory and Applications},
note = {Theory and applications of deterministic and stochastic
models},
publisher = {Princeton University Press, Princeton, NJ},
year = {1989},
pages = {xxiv+259},
isbn = {0-691-08532-3},
mrclass = {92A40 (34C35 35B32 35Q20 58F14 80A30 92A09)},
mrnumber = {981593},
mrreviewer = {Yoram Schiffmann}
}
@Article{ erdos.renyi:60:on,
title = {On the evolution of random graphs},
author = {Erd{\"o}s, Paul and R{\'e}nyi, A},
journal = {Publ. Math. Inst. Hungar. Acad. Sci},
volume = {5},
pages = {17--61},
year = {1960}
}
@Article{ erhard.hairer:19:discretisation,
author = {Erhard, Dirk and Hairer, Martin},
title = {Discretisation of regularity structures},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {55},
year = {2019},
number = {4},
pages = {2209--2248},
issn = {0246-0203},
mrclass = {60L30 (60F17 60H15 60H17)},
mrnumber = {4029153},
mrreviewer = {Dirk Bl\"{o}mker},
doi = {10.1214/18-AIHP947},
url = {https://doi.org/10.1214/18-AIHP947}
}
@Article{ erraoui.ouknine.ea:03:hyperbolic,
author = {Erraoui, Mohamed and Ouknine, Youssef and Nualart, David},
title = {Hyperbolic stochastic partial differential equations with
additive fractional {B}rownian sheet},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {3},
year = {2003},
number = {2},
pages = {121--139},
issn = {0219-4937},
mrclass = {60H15 (60H05)},
mrnumber = {1992359},
mrreviewer = {Marcus R. W. Martin},
doi = {10.1142/S0219493703000681},
url = {https://doi.org/10.1142/S0219493703000681}
}
@InCollection{ es-sebaiy.nourdin:13:parameter,
author = {Es-Sebaiy, Khalifa and Nourdin, Ivan},
title = {Parameter estimation for {$\alpha$}-fractional bridges},
booktitle = {Malliavin calculus and stochastic analysis},
series = {Springer Proc. Math. Stat.},
volume = {34},
pages = {385--412},
publisher = {Springer, New York},
year = {2013},
mrclass = {60G22 (60H05 60H07 62F12)},
mrnumber = {3070453},
mrreviewer = {No\`elia Viles},
doi = {10.1007/978-1-4614-5906-4\_17},
url = {https://doi.org/10.1007/978-1-4614-5906-4_17}
}
@Article{ es-sebaiy.nualart.ea:10:occupation,
author = {Es-Sebaiy, Khalifa and Nualart, David and Ouknine, Youssef
and Tudor, Ciprian A.},
title = {Occupation densities for certain processes related to
fractional {B}rownian motion},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {82},
year = {2010},
number = {1-3},
pages = {133--147},
issn = {1744-2508},
mrclass = {60G22 (60G15 60H05 60H07)},
mrnumber = {2677542},
mrreviewer = {Ireneusz Szyszkowski},
doi = {10.1080/17442500903045531},
url = {https://doi.org/10.1080/17442500903045531}
}
@Article{ es-sebaiy.tudor:07:multidimensional,
author = {Es-Sebaiy, Khalifa and Tudor, Ciprian A.},
title = {Multidimensional bifractional {B}rownian motion: {I}t\^o{}
and {T}anaka formulas},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {7},
year = {2007},
number = {3},
pages = {365--388},
issn = {0219-4937,1793-6799},
mrclass = {60H07 (60G12 60G15 60H05)},
mrnumber = {2351043},
mrreviewer = {Ivan\ Nourdin},
doi = {10.1142/S0219493707002050},
url = {https://doi.org/10.1142/S0219493707002050}
}
@Article{ esary.proschan.ea:67:association,
author = {Esary, J. D. and Proschan, F. and Walkup, D. W.},
title = {Association of random variables, with applications},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {38},
year = {1967},
pages = {1466--1474},
issn = {0003-4851},
mrclass = {60.02 (62.00)},
mrnumber = {217826},
mrreviewer = {I. Olkin},
doi = {10.1214/aoms/1177698701},
url = {https://doi.org/10.1214/aoms/1177698701}
}
@Article{ escobedo.herrero:91:boundedness,
author = {Escobedo, M. and Herrero, M. A.},
title = {Boundedness and blow up for a semilinear
reaction-diffusion system},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {89},
year = {1991},
number = {1},
pages = {176--202},
issn = {0022-0396},
mrclass = {35B35 (35K57)},
mrnumber = {1088342},
doi = {10.1016/0022-0396(91)90118-S},
url = {https://doi.org/10.1016/0022-0396(91)90118-S}
}
@Article{ escobedo.levine:95:critical,
author = {Escobedo, Miguel and Levine, Howard A.},
title = {Critical blowup and global existence numbers for a weakly
coupled system of reaction-diffusion equations},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {129},
year = {1995},
number = {1},
pages = {47--100},
issn = {0003-9527},
mrclass = {35K57},
mrnumber = {1328471},
mrreviewer = {Arnaldo do Nascimento},
doi = {10.1007/BF00375126},
url = {https://doi.org/10.1007/BF00375126}
}
@Article{ escudero:06:fractional,
author = {Escudero, Carlos},
title = {The fractional {K}eller-{S}egel model},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {19},
year = {2006},
number = {12},
pages = {2909--2918},
issn = {0951-7715},
mrclass = {35K45 (35K55 92C15 92C17)},
mrnumber = {2273765},
doi = {10.1088/0951-7715/19/12/010},
url = {https://doi.org/10.1088/0951-7715/19/12/010}
}
@Article{ espejo.winkler:18:global,
author = {Espejo, Elio and Winkler, Michael},
title = {Global classical solvability and stabilization in a
two-dimensional chemotaxis-{N}avier-{S}tokes system
modeling coral fertilization},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {31},
year = {2018},
number = {4},
pages = {1227--1259},
issn = {0951-7715},
mrclass = {76D03 (35B35 35B40 35Q30 76D05 92C17)},
mrnumber = {3816632},
mrreviewer = {Mohammed Guedda},
doi = {10.1088/1361-6544/aa9d5f},
url = {https://doi.org/10.1088/1361-6544/aa9d5f}
}
@InCollection{ esposito.marra.ea:94:diffusive,
author = {Esposito, R. and Marra, R. and Yau, H.-T.},
title = {Diffusive limit of asymmetric simple exclusion},
note = {Special issue dedicated to Elliott H. Lieb},
journal = {Rev. Math. Phys.},
fjournal = {Reviews in Mathematical Physics. A Journal for Both Review
and Original Research Papers in the Field of Mathematical
Physics},
volume = {6},
year = {1994},
number = {5A},
pages = {1233--1267},
issn = {0129-055X},
mrclass = {82B40},
mrnumber = {1301374},
mrreviewer = {Aernout C. D. van Enter},
doi = {10.1142/S0129055X94000444},
url = {https://doi.org/10.1142/S0129055X94000444}
}
@Article{ essaky.nualart:15:on,
author = {Essaky, El Hassan and Nualart, David},
title = {On the {$\frac1H$}-variation of the divergence integral
with respect to fractional {B}rownian motion with {H}urst
parameter {$H<\frac12$}},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {11},
pages = {4117--4141},
issn = {0304-4149},
mrclass = {60H05 (60G22 60H07)},
mrnumber = {3385597},
mrreviewer = {Mireia Besal\'{u}},
doi = {10.1016/j.spa.2015.06.001},
url = {https://doi.org/10.1016/j.spa.2015.06.001}
}
@Article{ estrade.wu.ea:11:packing,
author = {Estrade, Anne and Wu, Dongsheng and Xiao, Yimin},
title = {Packing dimension results for anisotropic {G}aussian
random fields},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {5},
year = {2011},
number = {1},
pages = {41--64},
issn = {2688-6669},
mrclass = {60G15 (28A80 60G18 60G60)},
mrnumber = {2808535},
mrreviewer = {Narn-Rueih\ Shieh},
doi = {10.31390/cosa.5.1.04},
url = {https://doi.org/10.31390/cosa.5.1.04}
}
@Article{ etheridge.kurtz:19:genealogical,
author = {Etheridge, Alison M. and Kurtz, Thomas G.},
title = {Genealogical constructions of population models},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {4},
pages = {1827--1910},
issn = {0091-1798},
mrclass = {60J25 (60F05 60G09 60J68 92D10 92D15 92D25 92D40)},
mrnumber = {3980910},
mrreviewer = {Joseph Whitmeyer},
doi = {10.1214/18-AOP1266},
url = {https://doi.org/10.1214/18-AOP1266}
}
@Article{ etheridge.labbe:15:scaling,
author = {Etheridge, Alison M. and Labb\'{e}, Cyril},
title = {Scaling limits of weakly asymmetric interfaces},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {336},
year = {2015},
number = {1},
pages = {287--336},
issn = {0010-3616},
mrclass = {82C26 (60H15 60J10)},
mrnumber = {3322375},
doi = {10.1007/s00220-014-2243-2},
url = {https://doi.org/10.1007/s00220-014-2243-2}
}
@Article{ etheridge.veber.ea:20:rescaling,
author = {Etheridge, Alison M. and V\'{e}ber, Amandine and Yu, Feng},
title = {Rescaling limits of the spatial lambda-{F}leming-{V}iot
process with selection},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {25},
year = {2020},
pages = {Paper No. 120, 89},
mrclass = {60G57 (60G52 60J25 92D10)},
mrnumber = {4161130},
mrreviewer = {Yu-Ting Chen},
doi = {10.1214/20-ejp523},
url = {https://doi.org/10.1214/20-ejp523}
}
@Book{ etheridge:00:introduction,
author = {Etheridge, Alison M.},
title = {An introduction to superprocesses},
series = {University Lecture Series},
volume = {20},
publisher = {American Mathematical Society, Providence, RI},
year = {2000},
pages = {xii+187},
isbn = {0-8218-2706-5},
mrclass = {60G57 (60H15 60J25 60J80)},
mrnumber = {1779100},
mrreviewer = {Luis G. Gorostiza},
doi = {10.1090/ulect/020},
url = {https://doi.org/10.1090/ulect/020}
}
@Book{ etheridge:11:some,
author = {Etheridge, Alison},
title = {Some mathematical models from population genetics},
series = {Lecture Notes in Mathematics},
volume = {2012},
note = {Lectures from the 39th Probability Summer School held in
Saint-Flour, 2009, \'{E}cole d'\'{E}t\'{e} de
Probabilit\'{e}s de Saint-Flour. [Saint-Flour Probability
Summer School]},
publisher = {Springer, Heidelberg},
year = {2011},
pages = {viii+119},
isbn = {978-3-642-16631-0},
mrclass = {92D25 (60J25 60J68 60J70 60K35 92D10)},
mrnumber = {2759587},
doi = {10.1007/978-3-642-16632-7},
url = {https://doi.org/10.1007/978-3-642-16632-7}
}
@Article{ ethier.khoshnevisan:02:bounds,
author = {Ethier, S. N. and Khoshnevisan, Davar},
title = {Bounds on gambler's ruin probabilities in terms of
moments},
journal = {Methodol. Comput. Appl. Probab.},
fjournal = {Methodology and Computing in Applied Probability},
volume = {4},
year = {2002},
number = {1},
pages = {55--68},
issn = {1387-5841},
mrclass = {60G40 (60G50)},
mrnumber = {1918933},
doi = {10.1023/A:1015705430513},
url = {https://doi.org/10.1023/A:1015705430513}
}
@Book{ ethier.kurtz:86:markov,
author = {Ethier, Stewart N. and Kurtz, Thomas G.},
title = {Markov processes},
series = {Wiley Series in Probability and Mathematical Statistics:
Probability and Mathematical Statistics},
note = {Characterization and convergence},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1986},
pages = {x+534},
isbn = {0-471-08186-8},
mrclass = {60J25 (60B10 60F05 60F17 60G44 60J80)},
mrnumber = {838085},
mrreviewer = {S. R. S. Varadhan},
doi = {10.1002/9780470316658},
url = {https://doi.org/10.1002/9780470316658}
}
@Book{ evangelista.lenzi:18:fractional,
author = {Evangelista, Luiz Roberto and Lenzi, Ervin Kaminski},
title = {Fractional diffusion equations and anomalous diffusion},
publisher = {Cambridge University Press, Cambridge},
year = {2018},
pages = {xiii+345},
isbn = {978-1-107-14355-5},
mrclass = {35-02 (26A33 35R11 60G22 74-02 74N25)},
mrnumber = {3793188},
mrreviewer = {Krzysztof Rogowski},
doi = {10.1017/9781316534649},
url = {https://doi.org/10.1017/9781316534649}
}
@Book{ evans.gariepy:15:measure,
author = {Evans, Lawrence C. and Gariepy, Ronald F.},
title = {Measure theory and fine properties of functions},
series = {Textbooks in Mathematics},
edition = {Revised},
publisher = {CRC Press, Boca Raton, FL},
year = {2015},
pages = {xiv+299},
isbn = {978-1-4822-4238-6},
mrclass = {28-01},
mrnumber = {3409135}
}
@Book{ evans:10:partial,
author = {Evans, Lawrence C.},
title = {Partial differential equations},
series = {Graduate Studies in Mathematics},
volume = {19},
edition = {Second},
publisher = {American Mathematical Society, Providence, RI},
year = {2010},
pages = {xxii+749},
isbn = {978-0-8218-4974-3},
mrclass = {35-01},
mrnumber = {2597943},
mrreviewer = {Diego M. Maldonado},
doi = {10.1090/gsm/019},
url = {https://doi.org/10.1090/gsm/019}
}
@Book{ evans:98:partial,
author = {Evans, Lawrence C.},
title = {Partial differential equations},
series = {Graduate Studies in Mathematics},
volume = {19},
publisher = {American Mathematical Society, Providence, RI},
year = {1998},
pages = {xviii+662},
isbn = {0-8218-0772-2},
mrclass = {35-01},
mrnumber = {1625845},
mrreviewer = {Luigi Rodino},
doi = {10.1090/gsm/019},
url = {https://doi.org/10.1090/gsm/019}
}
@InProceedings{ eyerich.keller.ea:10:high-quality,
title = {High-quality policies for the {Canadian} traveler's
problem},
author = {Eyerich, Patrick and Keller, Thomas and Helmert, Malte},
booktitle = {Twenty-Fourth AAAI Conference on Artificial Intelligence},
year = {2010}
}
@Article{ eynard.bonnet:99:potts-q,
author = {Eynard, B. and Bonnet, G.},
title = {The {P}otts-{$q$} random matrix model: loop equations,
critical exponents, and rational case},
journal = {Phys. Lett. B},
fjournal = {Physics Letters. B. Particle Physics, Nuclear Physics and
Cosmology},
volume = {463},
year = {1999},
number = {2-4},
pages = {273--279},
issn = {0370-2693},
mrclass = {82B44 (82D60)},
mrnumber = {1722272},
doi = {10.1016/S0370-2693(99)00925-9},
url = {https://doi.org/10.1016/S0370-2693(99)00925-9}
}
@Article{ fabbri.goldys:09:lq,
author = {Fabbri, G. and Goldys, B.},
title = {An {LQ} problem for the heat equation on the halfline with
{D}irichlet boundary control and noise},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {48},
year = {2009},
number = {3},
pages = {1473--1488},
issn = {0363-0129,1095-7138},
mrclass = {93E20 (35K05 37L55 47D06 49N10 60H05 93C20)},
mrnumber = {2496985},
mrreviewer = {Tom\'a\v s\ Roub\'i\v cek},
doi = {10.1137/070711529},
url = {https://doi.org/10.1137/070711529}
}
@Article{ fabes.jodeit.ea:78:potential,
author = {Fabes, E. B. and Jodeit, Jr., M. and Rivi\`ere, N. M.},
title = {Potential techniques for boundary value problems on
{$C^{1}$}-domains},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {141},
year = {1978},
number = {3-4},
pages = {165--186},
issn = {0001-5962},
mrclass = {31B20 (35J99)},
mrnumber = {501367},
mrreviewer = {G. Wildenhain},
doi = {10.1007/BF02545747},
url = {https://doi.org/10.1007/BF02545747}
}
@Article{ fabes.mendez.ea:98:boundary,
author = {Fabes, Eugene and Mendez, Osvaldo and Mitrea, Marius},
title = {Boundary layers on {S}obolev-{B}esov spaces and
{P}oisson's equation for the {L}aplacian in {L}ipschitz
domains},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {159},
year = {1998},
number = {2},
pages = {323--368},
issn = {0022-1236},
mrclass = {35J25 (46E35 46N20)},
mrnumber = {1658089},
mrreviewer = {H. Triebel},
doi = {10.1006/jfan.1998.3316},
url = {https://doi.org/10.1006/jfan.1998.3316}
}
@Article{ falconer.xiao:14:generalized,
author = {Falconer, Kenneth and Xiao, Yimin},
title = {Generalized dimensions of images of measures under
{G}aussian processes},
journal = {Adv. Math.},
fjournal = {Advances in Mathematics},
volume = {252},
year = {2014},
pages = {492--517},
issn = {0001-8708,1090-2082},
mrclass = {60G15 (60G17 60G60)},
mrnumber = {3144239},
mrreviewer = {Marco\ Dozzi},
doi = {10.1016/j.aim.2013.11.002},
url = {https://doi.org/10.1016/j.aim.2013.11.002}
}
@Article{ falconer.xiao:95:average,
author = {Falconer, K. J. and Xiao, Y. M.},
title = {Average densities of the image and zero set of stable
processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {55},
year = {1995},
number = {2},
pages = {271--283},
issn = {0304-4149,1879-209X},
mrclass = {60J30 (28A75 60G17)},
mrnumber = {1313023},
mrreviewer = {S.\ J.\ Taylor},
doi = {10.1016/0304-4149(94)00050-4},
url = {https://doi.org/10.1016/0304-4149(94)00050-4}
}
@Book{ falconer:86:geometry,
author = {Falconer, K. J.},
title = {The geometry of fractal sets},
series = {Cambridge Tracts in Mathematics},
volume = {85},
publisher = {Cambridge University Press, Cambridge},
year = {1986},
pages = {xiv+162},
isbn = {0-521-25694-1; 0-521-33705-4},
mrclass = {28-02 (28A99 60J65)},
mrnumber = {867284},
mrreviewer = {K. E. Hirst}
}
@Book{ family.landau:84:kinetics,
title = {Kinetics of aggregation and gelation},
author = {Family, F. and Landau, D. P. (Eds.)},
isbn = {9780444596581},
year = {1984},
publisher = {North-Holland}
}
@Article{ family.vicsek:85:scaling,
doi = {10.1088/0305-4470/18/2/005},
url = {https://dx.doi.org/10.1088/0305-4470/18/2/005},
year = {1985},
month = {feb},
volume = {18},
number = {2},
pages = {L75},
author = {Family, Fereydoon and Vicsek, Tam{\'a}s},
title = {Scaling of the active zone in the Eden process on
percolation networks and the ballistic deposition model},
journal = {Journal of Physics A: Mathematical and General}
}
@Article{ family:86:scaling,
doi = {10.1088/0305-4470/19/8/006},
url = {https://dx.doi.org/10.1088/0305-4470/19/8/006},
year = {1986},
month = {June},
volume = {19},
number = {8},
pages = {L441},
author = {Family, Fereydoon},
title = {Scaling of rough surfaces: effects of surface diffusion},
journal = {Journal of Physics A: Mathematical and General}
}
@Article{ fan:97:sur,
author = {Fan, Ai Hua},
title = {Sur les chaos de {L}\'{e}vy stables d'indice
{$0<\alpha<1$}},
journal = {Ann. Sci. Math. Qu\'{e}bec},
fjournal = {Annales des Sciences Math\'{e}matiques du Qu\'{e}bec},
volume = {21},
year = {1997},
number = {1},
pages = {53--66},
issn = {0707-9109},
mrclass = {60J30 (60G55)},
mrnumber = {1457064}
}
@Article{ fang.imkeller.ea:07:global,
author = {Fang, Shizan and Imkeller, Peter and Zhang, Tusheng},
title = {Global flows for stochastic differential equations without
global {L}ipschitz conditions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {1},
pages = {180--205},
issn = {0091-1798},
mrclass = {60H10 (34F05 37C10 37H10)},
mrnumber = {2303947},
mrreviewer = {Daniel Ocone},
doi = {10.1214/009117906000000412},
url = {https://doi.org/10.1214/009117906000000412}
}
@Article{ fang.zeitouni:10:consistent,
author = {Fang, Ming and Zeitouni, Ofer},
title = {Consistent minimal displacement of branching random
walks},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {15},
year = {2010},
pages = {106--118},
issn = {1083-589X},
mrclass = {60G50 (60J80)},
mrnumber = {2606508},
mrreviewer = {Sebastian\ M\"{u}ller},
doi = {10.1214/ECP.v15-1533},
url = {https://doi.org/10.1214/ECP.v15-1533}
}
@Article{ fang.zeitouni:12:branching,
author = {Fang, Ming and Zeitouni, Ofer},
title = {Branching random walks in time inhomogeneous
environments},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {17},
year = {2012},
pages = {no. 67, 18},
issn = {1083-6489},
mrclass = {60G50 (60J80)},
mrnumber = {2968674},
mrreviewer = {Elcio\ Lebensztayn},
doi = {10.1214/EJP.v17-2253},
url = {https://doi.org/10.1214/EJP.v17-2253}
}
@Article{ fang.zeitouni:12:slowdown,
author = {Fang, Ming and Zeitouni, Ofer},
title = {Slowdown for time inhomogeneous branching {B}rownian
motion},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {149},
year = {2012},
number = {1},
pages = {1--9},
issn = {0022-4715,1572-9613},
mrclass = {60J65 (60F10 60J80)},
mrnumber = {2981635},
mrreviewer = {Xiaowen\ Zhou},
doi = {10.1007/s10955-012-0581-z},
url = {https://doi.org/10.1007/s10955-012-0581-z}
}
@Article{ fang.zhang:05:study,
author = {Fang, Shizan and Zhang, Tusheng},
title = {A study of a class of stochastic differential equations
with non-{L}ipschitzian coefficients},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {132},
year = {2005},
number = {3},
pages = {356--390},
issn = {0178-8051},
mrclass = {60H10 (34A12 34A40 34F05 60J60)},
mrnumber = {2197106},
mrreviewer = {Josef Teichmann},
doi = {10.1007/s00440-004-0398-z},
url = {https://doi.org/10.1007/s00440-004-0398-z}
}
@Article{ fang.zhang:06:isotropic,
author = {Fang, Shizan and Zhang, Tusheng},
title = {Isotropic stochastic flow of homeomorphisms on {$S^d$} for
the critical {S}obolev exponent},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {85},
year = {2006},
number = {4},
pages = {580--597},
issn = {0021-7824},
mrclass = {60H10 (58J65 60J65)},
mrnumber = {2216308},
mrreviewer = {Olivier Raimond},
doi = {10.1016/j.matpur.2005.10.012},
url = {https://doi.org/10.1016/j.matpur.2005.10.012}
}
@Article{ fang.zhou.ea:00:entropy,
author = {Fang, Mao-Fa and Zhou, Peng and Swain, S.},
title = {Entropy squeezing for a two-level atom},
journal = {J. Modern Opt.},
fjournal = {Journal of Modern Optics},
volume = {47},
year = {2000},
number = {6},
pages = {1043--1053},
issn = {0950-0340},
mrclass = {81V80},
mrnumber = {1759131},
doi = {10.1080/095003400147656},
url = {https://doi.org/10.1080/095003400147656}
}
@Article{ fannjiang.komorowski.ea:02:lagrangian,
author = {Fannjiang, Albert and Komorowski, Tomasz and Peszat,
Szymon},
title = {Lagrangian dynamics for a passive tracer in a class of
{G}aussian {M}arkovian flows},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {97},
year = {2002},
number = {2},
pages = {171--198},
issn = {0304-4149,1879-209X},
mrclass = {60H10 (60G60 60H15 76F25 76M35)},
mrnumber = {1875332},
mrreviewer = {Dominique\ L\'{e}pingle},
doi = {10.1016/S0304-4149(01)00129-6},
url = {https://doi.org/10.1016/S0304-4149(01)00129-6}
}
@Article{ farre.nualart:93:nonlinear,
author = {Farr\'{e}, M. and Nualart, D.},
title = {Nonlinear stochastic integral equations in the plane},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {46},
year = {1993},
number = {2},
pages = {219--239},
issn = {0304-4149},
mrclass = {60H15 (45H05)},
mrnumber = {1226409},
mrreviewer = {Nicholas Frangos},
doi = {10.1016/0304-4149(93)90004-N},
url = {https://doi.org/10.1016/0304-4149(93)90004-N}
}
@Article{ fasano.primicerio.ea:90:some,
author = {Fasano, A. and Primicerio, M. and Howison, S. D. and
Ockendon, J. R.},
title = {Some remarks on the regularization of supercooled
one-phase {S}tefan problems in one dimension},
journal = {Quart. Appl. Math.},
fjournal = {Quarterly of Applied Mathematics},
volume = {48},
year = {1990},
number = {1},
pages = {153--168},
issn = {0033-569X},
mrclass = {35R35 (35K05 80A20)},
mrnumber = {1040239},
mrreviewer = {Li Shang Jiang},
doi = {10.1090/qam/1040239},
url = {https://doi.org/10.1090/qam/1040239}
}
@InCollection{ fasen.kluppelberg:07:extremes,
author = {Fasen, Vicky and Kl\"{u}ppelberg, Claudia},
title = {Extremes of sup{OU} processes},
booktitle = {Stochastic analysis and applications},
series = {Abel Symp.},
volume = {2},
pages = {339--359},
publisher = {Springer, Berlin},
year = {2007},
mrclass = {60G70 (60G10 91B70 91B84)},
mrnumber = {2397794},
mrreviewer = {Christian-Oliver Ewald},
doi = {10.1007/978-3-540-70847-6\_14},
url = {https://doi.org/10.1007/978-3-540-70847-6_14}
}
@Article{ fasen:09:extremes,
author = {Fasen, Vicky},
title = {Extremes of {L}\'{e}vy driven mixed {MA} processes with
convolution equivalent distributions},
journal = {Extremes},
fjournal = {Extremes. Statistical Theory and Applications in Science,
Engineering and Economics},
volume = {12},
year = {2009},
number = {3},
pages = {265--296},
issn = {1386-1999},
mrclass = {60G70 (60F05 60G10 60G55 60G57)},
mrnumber = {2533953},
mrreviewer = {Sreenivasan Ravi},
doi = {10.1007/s10687-008-0079-x},
url = {https://doi.org/10.1007/s10687-008-0079-x}
}
@Book{ federer:69:geometric,
author = {Federer, Herbert},
title = {Geometric measure theory},
series = {Die Grundlehren der mathematischen Wissenschaften, Band
153},
publisher = {Springer-Verlag New York, Inc., New York},
year = {1969},
pages = {xiv+676},
mrclass = {28.80 (26.00)},
mrnumber = {0257325},
mrreviewer = {J. E. Brothers}
}
@Article{ federico.goldys.ea:10:hjb,
author = {Federico, Salvatore and Goldys, Ben and Gozzi, Fausto},
title = {H{JB} equations for the optimal control of differential
equations with delays and state constraints, {I}:
regularity of viscosity solutions},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {48},
year = {2010},
number = {8},
pages = {4910--4937},
issn = {0363-0129,1095-7138},
mrclass = {49L20 (34K35 35F21 49L25 93B52)},
mrnumber = {2735510},
mrreviewer = {Marino\ Belloni},
doi = {10.1137/09076742X},
url = {https://doi.org/10.1137/09076742X}
}
@Article{ federico.goldys.ea:11:hjb,
author = {Federico, Salvatore and Goldys, Ben and Gozzi, Fausto},
title = {H{JB} equations for the optimal control of differential
equations with delays and state constraints, {II}:
{V}erification and optimal feedbacks},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {49},
year = {2011},
number = {6},
pages = {2378--2414},
issn = {0363-0129,1095-7138},
mrclass = {49L25 (34K35 49N35 93B52)},
mrnumber = {2854622},
mrreviewer = {Marino\ Belloni},
doi = {10.1137/100804292},
url = {https://doi.org/10.1137/100804292}
}
@Article{ fedrigo.flandoli.ea:07:large,
author = {Fedrigo, M. and Flandoli, F. and Morandin, F.},
title = {A large deviation principle for the free energy of random
{G}ibbs measures with application to the {REM}},
journal = {Ann. Mat. Pura Appl. (4)},
fjournal = {Annali di Matematica Pura ed Applicata. Series IV},
volume = {186},
year = {2007},
number = {3},
pages = {381--417},
issn = {0373-3114,1618-1891},
mrclass = {60F10 (60G57 82B05 82B44)},
mrnumber = {2317646},
mrreviewer = {Jos\'{e}\ Trashorras},
doi = {10.1007/s10231-006-0011-4},
url = {https://doi.org/10.1007/s10231-006-0011-4}
}
@Article{ fedrizzi.flandoli.ea:17:regularity,
author = {Fedrizzi, Ennio and Flandoli, Franco and Priola, Enrico
and Vovelle, Julien},
title = {Regularity of stochastic kinetic equations},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 48, 42},
issn = {1083-6489},
mrclass = {60H15 (35R60 60H10 60H30)},
mrnumber = {3661662},
mrreviewer = {Carles\ Rovira},
doi = {10.1214/17-EJP65},
url = {https://doi.org/10.1214/17-EJP65}
}
@Article{ fedrizzi.flandoli:11:pathwise,
author = {Fedrizzi, E. and Flandoli, F.},
title = {Pathwise uniqueness and continuous dependence of {SDE}s
with non-regular drift},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {83},
year = {2011},
number = {3},
pages = {241--257},
issn = {1744-2508,1744-2516},
mrclass = {60H10 (35K05 35R60 60J65)},
mrnumber = {2810591},
mrreviewer = {Dejun\ Luo},
doi = {10.1080/17442508.2011.553681},
url = {https://doi.org/10.1080/17442508.2011.553681}
}
@Article{ fedrizzi.flandoli:13:holder,
author = {Fedrizzi, E. and Flandoli, F.},
title = {H\"{o}lder flow and differentiability for {SDE}s with
nonregular drift},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {31},
year = {2013},
number = {4},
pages = {708--736},
issn = {0736-2994,1532-9356},
mrclass = {60H10 (35B65 35D35 35R60 60J60)},
mrnumber = {3175794},
mrreviewer = {Wilhelm\ Stannat},
doi = {10.1080/07362994.2012.628908},
url = {https://doi.org/10.1080/07362994.2012.628908}
}
@Article{ fedrizzi.flandoli:13:noise,
author = {Fedrizzi, E. and Flandoli, F.},
title = {Noise prevents singularities in linear transport
equations},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {264},
year = {2013},
number = {6},
pages = {1329--1354},
issn = {0022-1236,1096-0783},
mrclass = {60H15 (35R60)},
mrnumber = {3017266},
mrreviewer = {Bj\"{o}rn\ Schmalfuss},
doi = {10.1016/j.jfa.2013.01.003},
url = {https://doi.org/10.1016/j.jfa.2013.01.003}
}
@Article{ fefferman.riviere.ea:74:interpolation,
author = {Fefferman, C. and Rivi\`ere, N. M. and Sagher, Y.},
title = {Interpolation between {$H^{p}$} spaces: the real method},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {191},
year = {1974},
pages = {75--81},
issn = {0002-9947},
mrclass = {46E35 (46M35)},
mrnumber = {388072},
mrreviewer = {Alberto Torchinsky},
doi = {10.2307/1996982},
url = {https://doi.org/10.2307/1996982}
}
@Article{ fefferman.soria:86:space,
author = {Fefferman, Robert and Soria, Fernando},
title = {The space {${\rm Weak}\, H^1$}},
journal = {Studia Math.},
fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia
Mathematica},
volume = {85},
year = {1986},
number = {1},
pages = {1--16 (1987)},
issn = {0039-3223},
mrclass = {42B30 (46E10)},
mrnumber = {879411},
mrreviewer = {Burglind J\"{o}ricke},
doi = {10.4064/sm-85-1-1-16},
url = {https://doi.org/10.4064/sm-85-1-1-16}
}
@Article{ feireisl.laurencot.ea:96:global,
author = {Feireisl, E. and Lauren\c{c}ot, Ph. and Simondon, F.},
title = {Global attractors for degenerate parabolic equations on
unbounded domains},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {129},
year = {1996},
number = {2},
pages = {239--261},
issn = {0022-0396},
mrclass = {35K65 (35B40 35K55)},
mrnumber = {1404383},
mrreviewer = {Daniel \v{S}ev\v{c}ovi\v{c}},
doi = {10.1006/jdeq.1996.0117},
url = {https://doi.org/10.1006/jdeq.1996.0117}
}
@Article{ feldheim.paquette.ea:15:regularization,
author = {Feldheim, Ohad Noy and Paquette, Elliot and Zeitouni,
Ofer},
title = {Regularization of non-normal matrices by {G}aussian
noise},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2015},
number = {18},
pages = {8724--8751},
issn = {1073-7928,1687-0247},
mrclass = {60B20},
mrnumber = {3417690},
mrreviewer = {Sandrine\ Dallaporta},
doi = {10.1093/imrn/rnu213},
url = {https://doi.org/10.1093/imrn/rnu213}
}
@Article{ feldman.magnen.ea:87:construction,
author = {Feldman, J. and Magnen, J. and Rivasseau, V. and
S\'{e}n\'{e}or, R.},
title = {Construction and {B}orel summability of infrared
{$\Phi^4_4$} by a phase space expansion},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {109},
year = {1987},
number = {3},
pages = {437--480},
issn = {0010-3616},
mrclass = {81E08 (81E15)},
mrnumber = {882810},
mrreviewer = {Claus Montonen},
url = {http://projecteuclid.org/euclid.cmp/1104116964}
}
@Article{ feldman.osterwalder:76:wightman,
author = {Feldman, Joel S. and Osterwalder, Konrad},
title = {The {W}ightman axioms and the mass gap for weakly coupled
{$(\Phi ^{4})_{3}$} quantum field theories},
journal = {Ann. Physics},
fjournal = {Annals of Physics},
volume = {97},
year = {1976},
number = {1},
pages = {80--135},
issn = {0003-4916},
mrclass = {81.46},
mrnumber = {416337},
mrreviewer = {James D. Fabrey},
doi = {10.1016/0003-4916(76)90223-2},
url = {https://doi.org/10.1016/0003-4916(76)90223-2}
}
@Article{ feldman:74:43,
author = {Feldman, Joel},
title = {The {$\lambda \varphi ^{4}_{3}$} field theory in a finite
volume},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {37},
year = {1974},
pages = {93--120},
issn = {0010-3616},
mrclass = {81.46},
mrnumber = {384003},
mrreviewer = {S. Aramaki},
url = {http://projecteuclid.org/euclid.cmp/1103859849}
}
@Article{ feller:52:on,
author = {Feller, William},
title = {On a generalization of {M}arcel {R}iesz' potentials and
the semi-groups generated by them},
journal = {Comm. S\'{e}m. Math. Univ. Lund [Medd. Lunds Univ. Mat.
Sem.]},
fjournal = {Communications du S\'{e}minaire Math\'{e}matique de
l'Universit\'{e} de Lund [Meddelanden fr\aa n Lunds
Universitets Matematiska Seminarium]},
volume = {1952},
year = {1952},
number = {Tome Suppl\'{e}mentaire},
pages = {72--81},
issn = {0373-5613},
mrclass = {36.0X},
mrnumber = {52018},
mrreviewer = {K. Yosida}
}
@Article{ feller:52:parabolic,
author = {Feller, William},
title = {The parabolic differential equations and the associated
semi-groups of transformations},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {55},
year = {1952},
pages = {468--519},
issn = {0003-486X},
mrclass = {36.0X},
mrnumber = {47886},
mrreviewer = {K. Yosida},
doi = {10.2307/1969644},
url = {https://doi.org/10.2307/1969644}
}
@Book{ feller:66:introduction,
author = {Feller, William},
title = {An introduction to probability theory and its
applications. {V}ol. {II}},
publisher = {John Wiley \& Sons, Inc., New York-London-Sydney},
year = {1966},
pages = {xviii+636},
mrclass = {60.00},
mrnumber = {0210154},
mrreviewer = {S. Orey}
}
@Book{ feller:68:introduction,
author = {Feller, William},
title = {An introduction to probability theory and its
applications. {V}ol. {I}},
edition = {Third},
publisher = {John Wiley \& Sons, Inc., New York-London-Sydney},
year = {1968},
pages = {xviii+509},
mrclass = {60.00},
mrnumber = {0228020},
mrreviewer = {J. G. Wendel}
}
@Book{ feller:71:introduction,
author = {Feller, William},
title = {An introduction to probability theory and its
applications. {V}ol. {II}},
edition = {Second},
publisher = {John Wiley \& Sons, Inc., New York-London-Sydney},
year = {1971},
pages = {xxiv+669},
mrclass = {60.00},
mrnumber = {270403}
}
@Article{ fellner.sonner.ea:19:stabilisation,
author = {Fellner, Klemens and Sonner, Stefanie and Tang, Bao Quoc
and Thuan, Do Duc},
title = {Stabilisation by noise on the boundary for a
{C}hafee-{I}nfante equation with dynamical boundary
conditions},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {24},
year = {2019},
number = {8},
pages = {4055--4078},
issn = {1531-3492,1553-524X},
mrclass = {35R60 (35K20 35K57 35P15 60H15)},
mrnumber = {3986268},
mrreviewer = {Le\ Chen},
doi = {10.3934/dcdsb.2019050},
url = {https://doi.org/10.3934/dcdsb.2019050}
}
@Article{ feng.grigorescu.ea:04:diffusive,
author = {Feng, Shui and Grigorescu, Ilie and Quastel, Jeremy},
title = {Diffusive scaling limits of mutually interacting particle
systems},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {35},
year = {2004},
number = {6},
pages = {1512--1533},
issn = {0036-1410},
mrclass = {60K35 (60F10 60J75 82C22 82C26)},
mrnumber = {2083788},
mrreviewer = {Fabio P. Machado},
doi = {10.1137/S0036141002409520},
url = {https://doi.org/10.1137/S0036141002409520}
}
@Article{ feng.iscoe.ea:97:microscopic,
author = {Feng, Shui and Iscoe, Ian and Sepp\"{a}l\"{a}inen, Timo},
title = {A microscopic mechanism for the porous medium equation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {66},
year = {1997},
number = {2},
pages = {147--182},
issn = {0304-4149},
mrclass = {60K35 (35K55 35Q35 82C20 82C22)},
mrnumber = {1440397},
mrreviewer = {Pablo A. Ferrari},
doi = {10.1016/S0304-4149(96)00121-4},
url = {https://doi.org/10.1016/S0304-4149(96)00121-4}
}
@Article{ feng.nualart:08:stochastic,
author = {Feng, Jin and Nualart, David},
title = {Stochastic scalar conservation laws},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {255},
year = {2008},
number = {2},
pages = {313--373},
issn = {0022-1236},
mrclass = {60H15 (35L65 35R60 60E15)},
mrnumber = {2419964},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1016/j.jfa.2008.02.004},
url = {https://doi.org/10.1016/j.jfa.2008.02.004}
}
@Article{ feng.shao.ea:21:self-normalized,
author = {Feng, Xinwei and Shao, Qi-Man and Zeitouni, Ofer},
title = {Self-normalized moderate deviations for random walk in
random scenery},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {34},
year = {2021},
number = {1},
pages = {103--124},
issn = {0894-9840,1572-9230},
mrclass = {60F10 (60G50 60K37)},
mrnumber = {4207482},
mrreviewer = {Elena\ Kosygina},
doi = {10.1007/s10959-019-00965-2},
url = {https://doi.org/10.1007/s10959-019-00965-2}
}
@InCollection{ feng.tindel:17:on,
author = {Feng, Qi and Tindel, Samy},
title = {On a priori estimates for rough {PDE}s},
booktitle = {Stochastic analysis and related topics},
series = {Progr. Probab.},
volume = {72},
pages = {117--138},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2017},
mrclass = {60H15 (60G22 60H99)},
mrnumber = {3737627},
doi = {10.1007/978-3-319-59671-6\_6},
url = {https://doi.org/10.1007/978-3-319-59671-6_6}
}
@Article{ feng.xiong:02:large,
author = {Feng, Shui and Xiong, Jie},
title = {Large deviations and quasi-potential of a {F}leming-{V}iot
process},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {7},
year = {2002},
pages = {13--25},
issn = {1083-589X},
mrclass = {60F10 (92D10)},
mrnumber = {1887170},
mrreviewer = {N. R. Chaganty},
doi = {10.1214/ECP.v7-1043},
url = {https://doi.org/10.1214/ECP.v7-1043}
}
@Book{ feng:16:rescaled,
author = {Feng, Zi Sheng},
title = {Rescaled {D}irected {R}andom {P}olymer in {R}andom
{E}nvironment in {D}imension 1 + 2},
note = {Thesis (Ph.D.)--University of Toronto (Canada)},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2016},
pages = {76},
isbn = {978-1339-93868-4},
mrclass = {Thesis},
mrnumber = {3563962},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:10138311}
}
@Article{ fenichel:79:geometric,
author = {Fenichel, Neil},
title = {Geometric singular perturbation theory for ordinary
differential equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {31},
year = {1979},
number = {1},
pages = {53--98},
issn = {0022-0396},
mrclass = {58F30 (34C29)},
mrnumber = {524817},
mrreviewer = {F. Verhulst},
doi = {10.1016/0022-0396(79)90152-9},
url = {https://doi.org/10.1016/0022-0396(79)90152-9}
}
@Article{ feral.peche:07:largest,
author = {F\'eral, Delphine and P\'ech\'e, Sandrine},
title = {The largest eigenvalue of rank one deformation of large
{W}igner matrices},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {272},
year = {2007},
number = {1},
pages = {185--228},
issn = {0010-3616,1432-0916},
mrclass = {82B31 (60K40 82B21)},
mrnumber = {2291807},
mrreviewer = {Florent\ Benaych-Georges},
doi = {10.1007/s00220-007-0209-3},
url = {https://doi.org/10.1007/s00220-007-0209-3}
}
@Article{ feral.peche:09:largest,
author = {F\'eral, Delphine and P\'ech\'e, Sandrine},
title = {The largest eigenvalues of sample covariance matrices for
a spiked population: diagonal case},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {50},
year = {2009},
number = {7},
pages = {073302, 33},
issn = {0022-2488,1089-7658},
mrclass = {62H25 (05C50 05C80 15A18)},
mrnumber = {2548630},
mrreviewer = {Yonghui\ Liu},
doi = {10.1063/1.3155785},
url = {https://doi.org/10.1063/1.3155785}
}
@Article{ fernandez-baca.seppalainen.ea:02:bounds,
author = {Fern\'{a}ndez-Baca, David and Sepp\"{a}l\"{a}inen, Timo
and Slutzki, Giora},
title = {Bounds for parametric sequence comparison},
journal = {Discrete Appl. Math.},
fjournal = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
volume = {118},
year = {2002},
number = {3},
pages = {181--198},
issn = {0166-218X},
mrclass = {92D20 (68W40)},
mrnumber = {1892967},
doi = {10.1016/S0166-218X(01)00206-2},
url = {https://doi.org/10.1016/S0166-218X(01)00206-2}
}
@Article{ fernandez-baca.seppalainen.ea:04:parametric,
author = {Fern\'{a}ndez-Baca, David and Sepp\"{a}l\"{a}inen, Timo
and Slutzki, Giora},
title = {Parametric multiple sequence alignment and phylogeny
construction},
journal = {J. Discrete Algorithms},
fjournal = {Journal of Discrete Algorithms},
volume = {2},
year = {2004},
number = {2},
pages = {271--287},
issn = {1570-8667},
mrclass = {92D20 (68R15 90C35 92D15)},
mrnumber = {2168101},
mrreviewer = {Stephen J. Willson},
doi = {10.1016/S1570-8667(03)00078-9},
url = {https://doi.org/10.1016/S1570-8667(03)00078-9}
}
@Article{ fernandez-bonder.groisman:09:time-space,
author = {Fern\'{a}ndez Bonder, Julian and Groisman, Pablo},
title = {Time-space white noise eliminates global solutions in
reaction-diffusion equations},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {238},
year = {2009},
number = {2},
pages = {209--215},
issn = {0167-2789},
mrclass = {35R60 (35K57 60H15)},
mrnumber = {2516340},
doi = {10.1016/j.physd.2008.09.005},
url = {https://doi.org/10.1016/j.physd.2008.09.005}
}
@Article{ fernandez-bonder.groisman:09:time–space,
title = {Time–space white noise eliminates global solutions in
reaction–diffusion equations},
fjournal = {Physica D: Nonlinear Phenomena},
journal = {Phys. D: Nonlinear Phenom.},
volume = {238},
number = {2},
pages = {209--215},
year = {2009},
issn = {0167-2789},
doi = {https://doi.org/10.1016/j.physd.2008.09.005},
url = {https://www.sciencedirect.com/science/article/pii/S0167278908003400},
author = {Julian {Fern\'andez Bonder} and Pablo Groisman}
}
@Book{ fernandez.frohlich.ea:92:random,
author = {Fern\'{a}ndez, Roberto and Fr\"{o}hlich, J\"{u}rg and
Sokal, Alan D.},
title = {Random walks, critical phenomena, and triviality in
quantum field theory},
series = {Texts and Monographs in Physics},
publisher = {Springer-Verlag, Berlin},
year = {1992},
pages = {xviii+444},
isbn = {3-540-54358-9},
mrclass = {81T08 (81-01 81-02 82B27)},
mrnumber = {1219313},
mrreviewer = {Anton Bovier},
doi = {10.1007/978-3-662-02866-7},
url = {https://doi.org/10.1007/978-3-662-02866-7}
}
@Article{ fernique:71:regularite,
author = {Fernique, Xavier},
title = {R\'{e}gularit\'{e} de processus gaussiens},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {12},
year = {1971},
pages = {304--320},
issn = {0020-9910},
mrclass = {60.40},
mrnumber = {286166},
mrreviewer = {Radu Theodorescu},
doi = {10.1007/BF01403310},
url = {https://doi.org/10.1007/BF01403310}
}
@InCollection{ fernique:75:regularite,
author = {Fernique, X.},
title = {Regularit\'{e} des trajectoires des fonctions
al\'{e}atoires gaussiennes},
booktitle = {\'{E}cole d'\'{E}t\'{e} de {P}robabilit\'{e}s de
{S}aint-{F}lour, {IV}-1974},
pages = {1--96. Lecture Notes in Math., Vol. 480},
year = {1975},
mrclass = {60G15},
mrnumber = {0413238},
mrreviewer = {Michael Marcus}
}
@Book{ fernique:97:fonctions,
author = {Fernique, Xavier},
title = {Fonctions al\'{e}atoires gaussiennes, vecteurs
al\'{e}atoires gaussiens},
publisher = {Universit\'{e} de Montr\'{e}al, Centre de Recherches
Math\'{e}matiques, Montreal, QC},
year = {1997},
pages = {iv+217},
isbn = {2-921120-28-3},
mrclass = {60G15 (60G17)},
mrnumber = {1472975},
mrreviewer = {Evarist Gin\'{e}}
}
@Article{ ferrante.kohatsu-higa.ea:96:strong,
author = {Ferrante, Marco and Kohatsu-Higa, Arturo and
Sanz-Sol\'{e}, Marta},
title = {Strong approximations for stochastic differential
equations with boundary conditions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {61},
year = {1996},
number = {2},
pages = {323--337},
issn = {0304-4149},
mrclass = {60H10 (34F05 65Nxx)},
mrnumber = {1386181},
mrreviewer = {Shigetoku Kawabata},
doi = {10.1016/0304-4149(95)00092-5},
url = {https://doi.org/10.1016/0304-4149(95)00092-5}
}
@Article{ ferrante.nualart:94:on,
author = {Ferrante, Marco and Nualart, David},
title = {On the {M}arkov property of a stochastic difference
equation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {52},
year = {1994},
number = {2},
pages = {239--250},
issn = {0304-4149},
mrclass = {60J10 (60H99)},
mrnumber = {1290697},
mrreviewer = {Vigirdas Mackevi\v{c}ius},
doi = {10.1016/0304-4149(94)90027-2},
url = {https://doi.org/10.1016/0304-4149(94)90027-2}
}
@Article{ ferrante.nualart:95:markov,
author = {Ferrante, M. and Nualart, D.},
title = {Markov field property for stochastic differential
equations with boundary conditions},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {55},
year = {1995},
number = {1-2},
pages = {55--69},
issn = {1045-1129},
mrclass = {60H10 (60H07 60J25)},
mrnumber = {1382285},
mrreviewer = {Axel Ernest Grorud},
doi = {10.1080/17442509508834018},
url = {https://doi.org/10.1080/17442509508834018}
}
@Article{ ferrante.nualart:97:example,
author = {Ferrante, Marco and Nualart, David},
title = {An example of a non-{M}arkovian stochastic two-point
boundary value problem},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {3},
year = {1997},
number = {4},
pages = {371--386},
issn = {1350-7265},
mrclass = {60H10},
mrnumber = {1483693},
doi = {10.2307/3318454},
url = {https://doi.org/10.2307/3318454}
}
@Article{ ferrante.rovira.ea:00:stochastic,
author = {Ferrante, Marco and Rovira, Carles and Sanz-Sol\'{e},
Marta},
title = {Stochastic delay equations with hereditary drift:
estimates of the density},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {177},
year = {2000},
number = {1},
pages = {138--177},
issn = {0022-1236},
mrclass = {60H99 (60F10 60H07)},
mrnumber = {1789947},
mrreviewer = {R\'{e}mi L\'{e}andre},
doi = {10.1006/jfan.2000.3631},
url = {https://doi.org/10.1006/jfan.2000.3631}
}
@Article{ ferrante.sanz-sole:06:spdes,
author = {Ferrante, Marco and Sanz-Sol\'{e}, Marta},
title = {S{PDE}s with coloured noise: analytic and stochastic
approaches},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {10},
year = {2006},
pages = {380--405},
issn = {1292-8100},
mrclass = {60H15 (35R60)},
mrnumber = {2263072},
mrreviewer = {Jan I. Seidler},
doi = {10.1051/ps:2006016},
url = {https://doi.org/10.1051/ps:2006016}
}
@Article{ ferrari.ghosal.ea:19:limit,
author = {Ferrari, P. L. and Ghosal, P. and Nejjar, P.},
title = {Limit law of a second class particle in {TASEP} with
non-random initial condition},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {55},
year = {2019},
number = {3},
pages = {1203--1225},
issn = {0246-0203},
mrclass = {82C22 (60B20 60K35)},
mrnumber = {4010933},
doi = {10.1214/18-aihp916},
url = {https://doi.org/10.1214/18-aihp916}
}
@Article{ ferrari.kesten.ea:95:existence,
author = {Ferrari, P. A. and Kesten, H. and Martinez, S. and Picco,
P.},
title = {Existence of quasi-stationary distributions. {A} renewal
dynamical approach},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {2},
pages = {501--521},
issn = {0091-1798,2168-894X},
mrclass = {60J27 (60J80 60K05)},
mrnumber = {1334159},
mrreviewer = {Erik\ A.\ van Doorn},
url = {http://links.jstor.org/sici?sici=0091-1798(199504)23:2<501:EOQDAR>2.0.CO;2-J&origin=MSN}
}
@Article{ ferrari.martin.ea:09:phase,
author = {Ferrari, Pablo A. and Martin, James B. and Pimentel,
Leandro P. R.},
title = {A phase transition for competition interfaces},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {19},
year = {2009},
number = {1},
pages = {281--317},
issn = {1050-5164,2168-8737},
mrclass = {60K35 (82B26)},
mrnumber = {2498679},
doi = {10.1214/08-AAP542},
url = {https://doi.org/10.1214/08-AAP542}
}
@Article{ ferrari.pimentel:05:competition,
author = {Ferrari, Pablo A. and Pimentel, Leandro P. R.},
title = {Competition interfaces and second class particles},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {4},
pages = {1235--1254},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (82B21 82B24)},
mrnumber = {2150188},
mrreviewer = {Nicoletta\ Cancrini},
doi = {10.1214/009117905000000080},
url = {https://doi.org/10.1214/009117905000000080}
}
@Article{ ferrari.spohn:05:determinantal,
author = {Ferrari, Patrik L. and Spohn, Herbert},
title = {A determinantal formula for the {GOE} {T}racy-{W}idom
distribution},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {38},
year = {2005},
number = {33},
pages = {L557--L561},
issn = {0305-4470},
mrclass = {82B41 (60K35)},
mrnumber = {2165698},
doi = {10.1088/0305-4470/38/33/L02},
url = {https://doi.org/10.1088/0305-4470/38/33/L02}
}
@Article{ ferrari.spohn:06:scaling,
author = {Ferrari, Patrik L. and Spohn, Herbert},
title = {Scaling limit for the space-time covariance of the
stationary totally asymmetric simple exclusion process},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {265},
year = {2006},
number = {1},
pages = {1--44},
issn = {0010-3616},
mrclass = {82C22 (60K35 82B41)},
mrnumber = {2217295},
mrreviewer = {Ellen Saada},
doi = {10.1007/s00220-006-1549-0},
url = {https://doi.org/10.1007/s00220-006-1549-0}
}
@InCollection{ ferrari.spohn:11:random,
author = {Ferrari, P. L. and Spohn, H.},
title = {Random growth models},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {782--801},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60K35 (60B20)},
mrnumber = {2932658},
mrreviewer = {Tomohiro Sasamoto}
}
@Article{ ferrario.flandoli:08:on,
author = {Ferrario, B. and Flandoli, F.},
title = {On a stochastic version of {P}rouse model in fluid
dynamics},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {118},
year = {2008},
number = {5},
pages = {762--789},
issn = {0304-4149,1879-209X},
mrclass = {76M35 (35Q35 35R60 60H15 76D03 76D06 76F55)},
mrnumber = {2411520},
mrreviewer = {Hakima\ Bessaih},
doi = {10.1016/j.spa.2007.06.004},
url = {https://doi.org/10.1016/j.spa.2007.06.004}
}
@InCollection{ ferrario.flandoli:23:hydrodynamic,
author = {Ferrario, Benedetta and Flandoli, Franco},
title = {Hydrodynamic models},
booktitle = {Quantum and stochastic mathematical physics},
series = {Springer Proc. Math. Stat.},
volume = {377},
pages = {247--268},
publisher = {Springer, Cham},
year = {[2023] \copyright 2023},
isbn = {978-3-031-14030-3; 978-3-031-14031-0},
mrclass = {76M35 (35Q30 60H15 60H30 76D06)},
mrnumber = {4592566},
doi = {10.1007/978-3-031-14031-0\_11},
url = {https://doi.org/10.1007/978-3-031-14031-0_11}
}
@Article{ ferreira.groisman.ea:03:adaptive,
author = {Ferreira, Ra\'{u}l and Groisman, Pablo and Rossi, Julio
D.},
title = {Adaptive numerical schemes for a parabolic problem with
blow-up},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {23},
year = {2003},
number = {3},
pages = {439--463},
issn = {0272-4979},
mrclass = {65M50 (35B40 35K60)},
mrnumber = {1987939},
doi = {10.1093/imanum/23.3.439},
url = {https://doi.org/10.1093/imanum/23.3.439}
}
@Article{ ferreira.groisman.ea:04:numerical,
author = {Ferreira, Ra\'{u}l and Groisman, Pablo and Rossi, Julio
D.},
title = {Numerical blow-up for the porous medium equation with a
source},
journal = {Numer. Methods Partial Differential Equations},
fjournal = {Numerical Methods for Partial Differential Equations. An
International Journal},
volume = {20},
year = {2004},
number = {4},
pages = {552--575},
issn = {0749-159X},
mrclass = {65M60 (35K57 76S05)},
mrnumber = {2060779},
doi = {10.1002/num.10103},
url = {https://doi.org/10.1002/num.10103}
}
@Article{ ferreira.precioso:11:existence,
author = {Ferreira, Lucas C. F. and Precioso, Juliana C.},
title = {Existence and asymptotic behaviour for the
parabolic-parabolic {K}eller-{S}egel system with singular
data},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {24},
year = {2011},
number = {5},
pages = {1433--1449},
issn = {0951-7715},
mrclass = {35K45 (35A01 35B40 35C06 35K59 35Q92 92C15)},
mrnumber = {2785976},
mrreviewer = {Adrien Blanchet},
doi = {10.1088/0951-7715/24/5/003},
url = {https://doi.org/10.1088/0951-7715/24/5/003}
}
@Book{ ferry:80:viscoelastic,
author = "Ferry, John D.",
title = "Viscoelastic properties of polymers",
publisher = "Wiley",
year = "1980",
pages = "672",
edition = "3rd ed",
isbn = "978-0-471-04894-7"
}
@Article{ feuerverger.mureika:77:empirical,
author = {Feuerverger, Andrey and Mureika, Roman A.},
title = {The empirical characteristic function and its
applications},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {5},
year = {1977},
number = {1},
pages = {88--97},
issn = {0090-5364},
mrclass = {62G10 (62E20)},
mrnumber = {428584},
mrreviewer = {Rashid Ahmad},
url = {http://links.jstor.org/sici?sici=0090-5364(197701)5:1<88:TECFAI>2.0.CO;2-8&origin=MSN}
}
@Article{ feyel.ustunel:02:measure,
author = {Feyel, Denis and \"{U}st\"{u}nel, Ali S\"{u}leyman},
title = {Measure transport on {W}iener space and the {G}irsanov
theorem},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {334},
year = {2002},
number = {11},
pages = {1025--1028},
issn = {1631-073X},
mrclass = {60B05 (60E05)},
mrnumber = {1913729},
mrreviewer = {M. Riedel},
doi = {10.1016/S1631-073X(02)02326-9},
url = {https://doi.org/10.1016/S1631-073X(02)02326-9}
}
@Article{ feyel.ustunel:04:monge-kantorovitch,
author = {Feyel, D. and \"{U}st\"{u}nel, A. S.},
title = {Monge-{K}antorovitch measure transportation and
{M}onge-{A}mp\`ere equation on {W}iener space},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {128},
year = {2004},
number = {3},
pages = {347--385},
issn = {0178-8051},
mrclass = {60H07 (35J60 46N30 49Q20 60G30 60H05 60H25 90B06)},
mrnumber = {2036490},
mrreviewer = {Nicolas Privault},
doi = {10.1007/s00440-003-0307-x},
url = {https://doi.org/10.1007/s00440-003-0307-x}
}
@Book{ feynman.leighton.ea:63:feynman,
author = {Feynman, Richard P. and Leighton, Robert B. and Sands,
Matthew},
title = {The {F}eynman lectures on physics. {V}ol. 1: {M}ainly
mechanics, radiation, and heat},
publisher = {Addison-Wesley Publishing Co., Inc., Reading,
Mass.-London},
year = {1963},
pages = {xii+513 pp. (not consecutively paged)},
mrclass = {69.00 (70.00)},
mrnumber = {213077},
mrreviewer = {T. J. M. Boyd}
}
@Book{ feynman.leighton.ea:64:feynman,
author = {Feynman, Richard P. and Leighton, Robert B. and Sands,
Matthew},
title = {The {F}eynman lectures on physics. {V}ol. 2: {M}ainly
electromagnetism and matter},
publisher = {Addison-Wesley Publishing Co., Inc., Reading,
Mass.-London},
year = {1964},
pages = {xii+569 pp. (not consecutively paged)},
mrclass = {69.00 (78.00)},
mrnumber = {213078},
mrreviewer = {T. J. M. Boyd}
}
@Book{ feynman.leighton.ea:65:feynman,
author = {Feynman, Richard P. and Leighton, Robert B. and Sands,
Matthew},
title = {The {F}eynman lectures on physics. {V}ol. 3: {Q}uantum
mechanics},
publisher = {Addison-Wesley Publishing Co., Inc., Reading,
Mass.-London},
year = {1965},
pages = {x+365 pp. (not consecutively paged)},
mrclass = {69.00 (81.00)},
mrnumber = {213079},
mrreviewer = {T. J. M. Boyd}
}
@Article{ feynman:55:slow,
title = {Slow Electrons in a Polar Crystal},
author = {Feynman, R. P.},
journal = {Phys. Rev.},
volume = {97},
issue = {3},
pages = {660--665},
numpages = {0},
year = {1955},
month = {Feb},
publisher = {American Physical Society},
doi = {10.1103/PhysRev.97.660},
url = {https://link.aps.org/doi/10.1103/PhysRev.97.660}
}
@Book{ feynman:98:statistical,
author = {Feynman, Richard P.},
title = {Statistical mechanics},
series = {Advanced Book Classics},
note = {A set of lectures, Reprint of the 1972 original},
publisher = {Perseus Books, Advanced Book Program, Reading, MA},
year = {1998},
pages = {xiv+354},
isbn = {0-201-36076-4},
mrclass = {82-01},
mrnumber = {1634071},
mrreviewer = {M. Lawrence Glasser}
}
@Article{ fiedler:73:algebraic,
title = {Algebraic connectivity of graphs},
author = {Fiedler, Miroslav},
journal = {Czechoslovak Mathematical Journal},
volume = {23},
number = {2},
pages = {298--305},
year = {1973},
publisher = {Springer}
}
@Book{ figueiredo:60:contribution,
author = {de Figueiredo, Rui Pacheco},
title = {Contribution to the theory of certain non-linear
differential equations},
series = {Estudos, Ensaios e Documentos, No. 73},
publisher = {Junta de Investiga\c{c}\~{o}es do Ultramar, Lisbon},
year = {1960},
pages = {123 pp. (1 insert)},
mrclass = {34.45},
mrnumber = {138850},
mrreviewer = {J. P. LaSalle}
}
@Article{ figueroa-lopez.luo.ea:14:small-time,
author = {Figueroa-L\'{o}pez, Jos\'{e} E. and Luo, Yankeng and
Ouyang, Cheng},
title = {Small-time expansions for local jump-diffusion models with
infinite jump activity},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {20},
year = {2014},
number = {3},
pages = {1165--1209},
issn = {1350-7265},
mrclass = {60J75 (60H07 60J35 91G20)},
mrnumber = {3217441},
mrreviewer = {Atsushi Takeuchi},
doi = {10.3150/13-BEJ518},
url = {https://doi.org/10.3150/13-BEJ518}
}
@Article{ fila.kawohl.ea:92:quenching,
author = {Fila, Marek and Kawohl, Bernhard and Levine, Howard A.},
title = {Quenching for quasilinear equations},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {17},
year = {1992},
number = {3-4},
pages = {593--614},
issn = {0360-5302},
mrclass = {35K55 (35B05 35B30 35K60)},
mrnumber = {1163438},
mrreviewer = {Zhen Chao Cao},
doi = {10.1080/03605309208820855},
url = {https://doi.org/10.1080/03605309208820855}
}
@Article{ fila.levine.ea:93:stabilization,
author = {Fila, Marek and Levine, Howard A. and V\'{a}zquez, Juan
L.},
title = {Stabilization of solutions of weakly singular quenching
problems},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {119},
year = {1993},
number = {2},
pages = {555--559},
issn = {0002-9939},
mrclass = {35K60 (35B65 35D05)},
mrnumber = {1174490},
mrreviewer = {Yisong Yang},
doi = {10.2307/2159940},
url = {https://doi.org/10.2307/2159940}
}
@Article{ fila.levine:93:quenching,
author = {Fila, Marek and Levine, Howard A.},
title = {Quenching on the boundary},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {21},
year = {1993},
number = {10},
pages = {795--802},
issn = {0362-546X},
mrclass = {35B40 (35K55 35K65)},
mrnumber = {1246508},
mrreviewer = {Victor A. Galaktionov},
doi = {10.1016/0362-546X(93)90124-B},
url = {https://doi.org/10.1016/0362-546X(93)90124-B}
}
@Article{ filbet:06:finite,
author = {Filbet, Francis},
title = {A finite volume scheme for the {P}atlak-{K}eller-{S}egel
chemotaxis model},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {104},
year = {2006},
number = {4},
pages = {457--488},
issn = {0029-599X},
mrclass = {92B05 (35B45 65M06 76M12)},
mrnumber = {2249674},
mrreviewer = {Gabriela Marinoschi},
doi = {10.1007/s00211-006-0024-3},
url = {https://doi.org/10.1007/s00211-006-0024-3}
}
@Article{ filipovic.zabczyk:02:markovian,
author = {Filipovi\'{c}, Damir and Zabczyk, Jerzy},
title = {Markovian term structure models in discrete time},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {12},
year = {2002},
number = {2},
pages = {710--729},
issn = {1050-5164},
mrclass = {60J05 (91B28)},
mrnumber = {1910646},
mrreviewer = {Chryssoula Ganatsiou},
doi = {10.1214/aoap/1026915622},
url = {https://doi.org/10.1214/aoap/1026915622}
}
@Article{ filippas.guo:93:quenching,
author = {Filippas, Stathis and Guo, Jong-Shenq},
title = {Quenching profiles for one-dimensional semilinear heat
equations},
journal = {Quart. Appl. Math.},
fjournal = {Quarterly of Applied Mathematics},
volume = {51},
year = {1993},
number = {4},
pages = {713--729},
issn = {0033-569X},
mrclass = {35B40 (35K55 35K65)},
mrnumber = {1247436},
mrreviewer = {Victor A. Galaktionov},
doi = {10.1090/qam/1247436},
url = {https://doi.org/10.1090/qam/1247436}
}
@Article{ filippas.kohn:92:refined,
author = {Filippas, Stathis and Kohn, Robert V.},
title = {Refined asymptotics for the blowup of {$u_t-\Delta
u=u^p$}},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {45},
year = {1992},
number = {7},
pages = {821--869},
issn = {0010-3640},
mrclass = {35K55 (35B40 35K65)},
mrnumber = {1164066},
mrreviewer = {Victor A. Galaktionov},
doi = {10.1002/cpa.3160450703},
url = {https://doi.org/10.1002/cpa.3160450703}
}
@Book{ finkenstadt.held.ea:07:statistical,
title = {Statistical methods for spatio-temporal systems},
series = {Monographs on Statistics and Applied Probability},
volume = {107},
author = {Finkenst\"{a}dt, B\"{a}rbel and Held, Leonhard and Isham,
Valerie},
note = {Papers from the 6th S\'{e}minaire Europ\'{e}en de
Statistique held in Bernried, December 12--18, 2004},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2007},
pages = {xviii+286},
isbn = {978-1-58488-593-1; 1-58488-593-9},
mrclass = {62-06 (62H11 62M09 62P12)},
mrnumber = {2307967}
}
@Article{ fischer.kolar.ea:91:ivo,
author = {Fischer, Jan and Kol\'{a}\v{r}, Pavel and Maslowski,
Bohdan and Seidler, Jan and Schwabik, \v{S}tefan},
title = {Ivo {V}rko\v{c} (on the occasion of his sixtieth
birthday)},
journal = {Math. Bohem.},
fjournal = {Czechoslovak Academy of Sciences. Mathematical Institute.
Mathematica Bohemica},
volume = {116},
year = {1991},
number = {4},
pages = {412--424},
issn = {0862-7959},
mrclass = {01A70},
mrnumber = {1146401}
}
@Article{ fischer.kolar.ea:91:ivo*1,
author = {Fischer, Jan and Kol\'{a}\v{r}, Pavel and Maslowski,
Bohdan and Seidler, Jan and Schwabik, \v{S}tefan},
title = {Ivo {V}rko\v{c} sexagenarian},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {41(116)},
year = {1991},
number = {4},
pages = {737--750},
issn = {0011-4642},
mrclass = {01A70},
mrnumber = {1134964}
}
@Article{ fisher:37:wave,
author = {Fisher, R. A.},
title = {The wave of advance of advantageous genes},
journal = {Annals of Eugenics},
volume = {7},
number = {4},
pages = {355--369},
doi = {https://doi.org/10.1111/j.1469-1809.1937.tb02153.x},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1469-1809.1937.tb02153.x},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1469-1809.1937.tb02153.x},
year = {1937}
}
@Article{ fisher:87:convex-invariant,
author = {Fisher, Albert},
title = {Convex-invariant means and a pathwise central limit
theorem},
journal = {Adv. in Math.},
fjournal = {Advances in Mathematics},
volume = {63},
year = {1987},
number = {3},
pages = {213--246},
issn = {0001-8708},
mrclass = {60F05 (28D10 43A55)},
mrnumber = {877784},
mrreviewer = {Michael Keane},
doi = {10.1016/0001-8708(87)90054-5},
url = {https://doi.org/10.1016/0001-8708(87)90054-5}
}
@Article{ fishkind.priebe.ea:07:disambiguation,
author = {Fishkind, Donniell and Priebe, Carey and Giles, Kendall
and Smith, Leslie and Aksakalli, Vural},
year = {2007},
month = {10},
pages = {814--823},
title = {Disambiguation Protocols Based on Risk Simulation},
volume = {37},
journal = {Systems, Man and Cybernetics, Part A: Systems and Humans,
IEEE Transactions on},
doi = {10.1109/TSMCA.2007.902634}
}
@Article{ fitzgibbon.langlais.ea:05:degenerate,
author = {Fitzgibbon, W. E. and Langlais, M. and Morgan, J. J.},
title = {A degenerate reaction-diffusion system modeling
atmospheric dispersion of pollutants},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {307},
year = {2005},
number = {2},
pages = {415--432},
issn = {0022-247X},
mrclass = {35K57 (35K50 35K65 47H20 86A10 92D40)},
mrnumber = {2142434},
mrreviewer = {Philippe P. Souplet},
doi = {10.1016/j.jmaa.2005.02.060},
url = {https://doi.org/10.1016/j.jmaa.2005.02.060}
}
@Article{ fitzsimmons.salisbury:89:capacity,
author = {Fitzsimmons, P. J. and Salisbury, Thomas S.},
title = {Capacity and energy for multiparameter {M}arkov
processes},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {25},
year = {1989},
number = {3},
pages = {325--350},
issn = {0246-0203},
mrclass = {60J45 (60G60 60J30)},
mrnumber = {1023955},
mrreviewer = {Steven N. Evans},
url = {http://www.numdam.org/item?id=AIHPB_1989__25_3_325_0}
}
@Article{ fixman:62:radius,
author = {Fixman, Marshall},
title = "Radius of Gyration of Polymer Chains",
fjournal = {The Journal of Chemical Physics},
journal = {J. Chem. Phys.},
volume = {36},
number = {2},
pages = {306--310},
year = {1962},
month = {01},
issn = {0021-9606},
doi = {10.1063/1.1732501},
url = {https://doi.org/10.1063/1.1732501},
eprint = {https://pubs.aip.org/aip/jcp/article-pdf/36/2/306/11125538/306\_1\_online.pdf}
}
@Article{ flandoli.g-atarek:95:martingale,
author = {Flandoli, Franco and G\polhk atarek, Dariusz},
title = {Martingale and stationary solutions for stochastic
{N}avier-{S}tokes equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {102},
year = {1995},
number = {3},
pages = {367--391},
issn = {0178-8051},
mrclass = {60H15 (35Q30 35R60 76D05 76M35)},
mrnumber = {1339739},
mrreviewer = {Marek Capi\'{n}ski},
doi = {10.1007/BF01192467},
url = {https://doi.org/10.1007/BF01192467}
}
@Article{ flandoli.galeati.ea:21:delayed,
author = {Flandoli, Franco and Galeati, Lucio and Luo, Dejun},
title = {Delayed blow-up by transport noise},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {46},
year = {2021},
number = {9},
pages = {1757--1788},
issn = {0360-5302},
mrclass = {60H15 (60H50)},
mrnumber = {4304694},
mrreviewer = {David Nualart},
doi = {10.1080/03605302.2021.1893748},
url = {https://doi.org/10.1080/03605302.2021.1893748}
}
@Article{ flandoli.galeati.ea:21:scaling,
author = {Flandoli, Franco and Galeati, Lucio and Luo, Dejun},
title = {Scaling limit of stochastic 2{D} {E}uler equations with
transport noises to the deterministic {N}avier-{S}tokes
equations},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {21},
year = {2021},
number = {1},
pages = {567--600},
issn = {1424-3199},
mrclass = {35R60 (35Q31)},
mrnumber = {4238216},
doi = {10.1007/s00028-020-00592-z},
url = {https://doi.org/10.1007/s00028-020-00592-z}
}
@Article{ flandoli.galeati.ea:22:eddy,
author = {Flandoli, Franco and Galeati, Lucio and Luo, Dejun},
title = {Eddy heat exchange at the boundary under white noise
turbulence},
journal = {Philos. Trans. Roy. Soc. A},
fjournal = {Philosophical Transactions of the Royal Society A.
Mathematical, Physical and Engineering Sciences},
volume = {380},
year = {2022},
number = {2219},
pages = {Paper No. 20210096, 13},
issn = {1364-503X},
mrclass = {76F25 (35K05)},
mrnumber = {4402221}
}
@Article{ flandoli.gess.ea:17:synchronization,
author = {Flandoli, Franco and Gess, Benjamin and Scheutzow,
Michael},
title = {Synchronization by noise for order-preserving random
dynamical systems},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {2},
pages = {1325--1350},
issn = {0091-1798,2168-894X},
mrclass = {37B25 (37G35 37H15 60H10)},
mrnumber = {3630300},
mrreviewer = {Jos\'{e}\ A.\ Langa},
doi = {10.1214/16-AOP1088},
url = {https://doi.org/10.1214/16-AOP1088}
}
@Article{ flandoli.gess.ea:17:synchronization*1,
author = {Flandoli, Franco and Gess, Benjamin and Scheutzow,
Michael},
title = {Synchronization by noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {168},
year = {2017},
number = {3-4},
pages = {511--556},
issn = {0178-8051,1432-2064},
mrclass = {37H15 (37B25 37G35 60H10)},
mrnumber = {3663624},
mrreviewer = {Min\ Zhao},
doi = {10.1007/s00440-016-0716-2},
url = {https://doi.org/10.1007/s00440-016-0716-2}
}
@Article{ flandoli.ghio.ea:22:n-player,
author = {Flandoli, Franco and Ghio, Maddalena and Livieri, Giulia},
title = {{$N$}-player games and mean field games of moderate
interactions},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {85},
year = {2022},
number = {3},
pages = {Paper No. 25, 65},
issn = {0095-4616,1432-0606},
mrclass = {49N80 (60G09 60H30 91A06 91A16 93E20)},
mrnumber = {4429314},
mrreviewer = {Max\ Nendel},
doi = {10.1007/s00245-022-09834-7},
url = {https://doi.org/10.1007/s00245-022-09834-7}
}
@Article{ flandoli.gozzi:98:kolmogorov,
author = {Flandoli, F. and Gozzi, F.},
title = {Kolmogorov equation associated to a stochastic
{N}avier-{S}tokes equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {160},
year = {1998},
number = {1},
pages = {312--336},
issn = {0022-1236,1096-0783},
mrclass = {35R60 (35Q30 60H15 76D06 76M35)},
mrnumber = {1658680},
mrreviewer = {John\ Masson\ Noble},
doi = {10.1006/jfan.1998.3321},
url = {https://doi.org/10.1006/jfan.1998.3321}
}
@Article{ flandoli.gubinelli.ea:05:stochastic,
author = {Flandoli, Franco and Gubinelli, Massimiliano and
Giaquinta, Mariano and Tortorelli, Vincenzo M.},
title = {Stochastic currents},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {115},
year = {2005},
number = {9},
pages = {1583--1601},
issn = {0304-4149,1879-209X},
mrclass = {60H05 (49Q15 60G48)},
mrnumber = {2158261},
mrreviewer = {Mohamed\ Mellouk},
doi = {10.1016/j.spa.2005.04.007},
url = {https://doi.org/10.1016/j.spa.2005.04.007}
}
@Article{ flandoli.gubinelli.ea:08:rigorous,
author = {Flandoli, F. and Gubinelli, M. and Hairer, M. and Romito,
M.},
title = {Rigorous remarks about scaling laws in turbulent fluids},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {278},
year = {2008},
number = {1},
pages = {1--29},
issn = {0010-3616},
mrclass = {76F55 (35Q30 37L55 60H15 76D05 76M35)},
mrnumber = {2367196},
mrreviewer = {Olivier Raimond},
doi = {10.1007/s00220-007-0398-9},
url = {https://doi.org/10.1007/s00220-007-0398-9}
}
@Article{ flandoli.gubinelli.ea:09:on,
author = {Flandoli, Franco and Gubinelli, Massimiliano and Russo,
Francesco},
title = {On the regularity of stochastic currents, fractional
{B}rownian motion and applications to a turbulence model},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {45},
year = {2009},
number = {2},
pages = {545--576},
issn = {0246-0203,1778-7017},
mrclass = {60H05 (60G18 60G22 60H30 76F55 76M35)},
mrnumber = {2521413},
mrreviewer = {Ivan\ Nourdin},
doi = {10.1214/08-AIHP174},
url = {https://doi.org/10.1214/08-AIHP174}
}
@InCollection{ flandoli.gubinelli.ea:10:does,
author = {Flandoli, Franco and Gubinelli, Massimiliano and Priola,
Enrico},
title = {Does noise improve well-posedness of fluid dynamic
equations?},
booktitle = {Stochastic partial differential equations and
applications},
series = {Quad. Mat.},
volume = {25},
pages = {139--155},
publisher = {Dept. Math., Seconda Univ. Napoli, Caserta},
year = {2010},
isbn = {978-88-548-4391-2},
mrclass = {35R60 (35B30 60H15 76D05)},
mrnumber = {2985085},
mrreviewer = {Jos\'{e}\ A.\ Langa}
}
@Article{ flandoli.gubinelli.ea:10:flow,
author = {Flandoli, F. and Gubinelli, M. and Priola, E.},
title = {Flow of diffeomorphisms for {SDE}s with unbounded
{H}\"{o}lder continuous drift},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {134},
year = {2010},
number = {4},
pages = {405--422},
issn = {0007-4497,1952-4773},
mrclass = {60H10 (35R60 47D07)},
mrnumber = {2651899},
mrreviewer = {Wei\ Liu},
doi = {10.1016/j.bulsci.2010.02.003},
url = {https://doi.org/10.1016/j.bulsci.2010.02.003}
}
@Article{ flandoli.gubinelli.ea:10:well-posedness,
author = {Flandoli, F. and Gubinelli, M. and Priola, E.},
title = {Well-posedness of the transport equation by stochastic
perturbation},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {180},
year = {2010},
number = {1},
pages = {1--53},
issn = {0020-9910},
mrclass = {35R60 (35A02 35Q35 60H30 76M35)},
mrnumber = {2593276},
mrreviewer = {Nikolaos Halidias},
doi = {10.1007/s00222-009-0224-4},
url = {https://doi.org/10.1007/s00222-009-0224-4}
}
@Article{ flandoli.gubinelli.ea:11:full,
author = {Flandoli, F. and Gubinelli, M. and Priola, E.},
title = {Full well-posedness of point vortex dynamics corresponding
to stochastic 2{D} {E}uler equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {7},
pages = {1445--1463},
issn = {0304-4149},
mrclass = {60H10 (35B30 35Q31 35R60 60H15 76B47)},
mrnumber = {2802460},
doi = {10.1016/j.spa.2011.03.004},
url = {https://doi.org/10.1016/j.spa.2011.03.004}
}
@Article{ flandoli.gubinelli.ea:12:remarks,
author = {Flandoli, F. and Gubinelli, M. and Priola, E.},
title = {Remarks on the stochastic transport equation with
{H}\"{o}lder drift},
journal = {Rend. Semin. Mat. Univ. Politec. Torino},
fjournal = {Rendiconti del Seminario Matematico. Universit\`a e
Politecnico Torino},
volume = {70},
year = {2012},
number = {1},
pages = {53--73},
issn = {0373-1243,2704-999X},
mrclass = {60H10 (35B30 35B35 35K10)},
mrnumber = {3305566},
mrreviewer = {Zaitang\ Huang},
doi = {10.1007/s00222-009-0224-4},
url = {https://doi.org/10.1007/s00222-009-0224-4}
}
@InCollection{ flandoli.gubinelli.ea:19:introduction,
author = {Flandoli, Franco and Gubinelli, Massimiliano and Hairer,
Martin},
title = {Introduction},
booktitle = {Singular random dynamics},
series = {Lecture Notes in Math.},
volume = {2253},
pages = {1--10},
publisher = {Springer, Cham},
year = {[2019] \copyright 2019},
mrclass = {60L30 (60-02 60H17 60L40)},
mrnumber = {3971357}
}
@Article{ flandoli.gubinelli:02:gibbs,
author = {Flandoli, Franco and Gubinelli, Massimiliano},
title = {The {G}ibbs ensemble of a vortex filament},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {122},
year = {2002},
number = {3},
pages = {317--340},
issn = {0178-8051,1432-2064},
mrclass = {76F55 (60H05 60H30 76B47 76M35)},
mrnumber = {1892850},
mrreviewer = {Christophe\ Giraud},
doi = {10.1007/s004400100163},
url = {https://doi.org/10.1007/s004400100163}
}
@InCollection{ flandoli.gubinelli:04:random,
author = {Flandoli, Franco and Gubinelli, Massimiliano},
title = {Random currents and probabilistic models of vortex
filaments},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications {IV}},
series = {Progr. Probab.},
volume = {58},
pages = {129--139},
publisher = {Birkh\"{a}user, Basel},
year = {2004},
isbn = {3-7643-7131-5},
mrclass = {60H05 (76F55 76M35)},
mrnumber = {2096285}
}
@Article{ flandoli.gubinelli:05:statistics,
author = {Flandoli, Franco and Gubinelli, Massimiliano},
title = {Statistics of a vortex filament model},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {10},
year = {2005},
pages = {no. 25, 865--900},
issn = {1083-6489},
mrclass = {76F55 (60G60 76B47 76M35)},
mrnumber = {2164032},
mrreviewer = {Anna\ Amirdjanova},
doi = {10.1214/EJP.v10-267},
url = {https://doi.org/10.1214/EJP.v10-267}
}
@Article{ flandoli.hofmanova.ea:22:global,
author = {Flandoli, Franco and Hofmanov\'{a}, Martina and Luo, Dejun
and Nilssen, Torstein},
title = {Global well-posedness of the 3{D} {N}avier-{S}tokes
equations perturbed by a deterministic vector field},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {32},
year = {2022},
number = {4},
pages = {2568--2586},
issn = {1050-5164,2168-8737},
mrclass = {35Q30 (60H20 60H50)},
mrnumber = {4474514},
doi = {10.1214/21-aap1740},
url = {https://doi.org/10.1214/21-aap1740}
}
@Article{ flandoli.huang:21:kpp,
author = {Flandoli, Franco and Huang, Ruojun},
title = {The {KPP} equation as a scaling limit of locally
interacting {B}rownian particles},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {303},
year = {2021},
pages = {608--644},
issn = {0022-0396,1090-2732},
mrclass = {60K35 (35K57 60J70 82C21)},
mrnumber = {4319353},
doi = {10.1016/j.jde.2021.09.034},
url = {https://doi.org/10.1016/j.jde.2021.09.034}
}
@Article{ flandoli.huang:22:coagulation,
author = {Flandoli, Franco and Huang, Ruojun},
title = {Coagulation dynamics under environmental noise: scaling
limit to {SPDE}},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {19},
year = {2022},
number = {2},
pages = {1241--1292},
issn = {1980-0436},
mrclass = {60K35 (60H15 82C21 86A08)},
mrnumber = {4512147},
doi = {10.30757/alea.v19-51},
url = {https://doi.org/10.30757/alea.v19-51}
}
@Article{ flandoli.huang:23:noise,
author = {Flandoli, Franco and Huang, Ruojun},
title = {Noise based on vortex structures in 2{D} and 3{D}},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {64},
year = {2023},
number = {5},
pages = {Paper No. 053101, 23},
issn = {0022-2488,1089-7658},
mrclass = {76D17 (35R60 60H15 76M35)},
mrnumber = {4585331},
doi = {10.1063/5.0128120},
url = {https://doi.org/10.1063/5.0128120}
}
@Article{ flandoli.imkeller.ea:14:2d-stochastic,
author = {Flandoli, Franco and Imkeller, Peter and Tudor, Ciprian
A.},
title = {2{D}-stochastic currents over the {W}iener sheet},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {27},
year = {2014},
number = {2},
pages = {552--575},
issn = {0894-9840,1572-9230},
mrclass = {60G15 (60G22 60G60 60H05 60H07)},
mrnumber = {3195826},
mrreviewer = {David\ Nualart},
doi = {10.1007/s10959-012-0453-0},
url = {https://doi.org/10.1007/s10959-012-0453-0}
}
@Article{ flandoli.issoglio.ea:17:multidimensional,
author = {Flandoli, Franco and Issoglio, Elena and Russo,
Francesco},
title = {Multidimensional stochastic differential equations with
distributional drift},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {369},
year = {2017},
number = {3},
pages = {1665--1688},
issn = {0002-9947,1088-6850},
mrclass = {60H10 (35B65 35K10 35R60 60H30)},
mrnumber = {3581216},
mrreviewer = {Wilhelm\ Stannat},
doi = {10.1090/tran/6729},
url = {https://doi.org/10.1090/tran/6729}
}
@Article{ flandoli.la-fauci.ea:21:individual-based,
author = {Flandoli, Franco and La Fauci, Eleonora and Riva,
Martina},
title = {Individual-based {M}arkov model of virus diffusion:
comparison with {COVID}-19 incubation period, serial
interval and regional time series},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {31},
year = {2021},
number = {5},
pages = {907--939},
issn = {0218-2025,1793-6314},
mrclass = {92C60 (60J20 92D30)},
mrnumber = {4275807},
mrreviewer = {Hamid\ Pezeshk},
doi = {10.1142/S0218202521500226},
url = {https://doi.org/10.1142/S0218202521500226}
}
@Article{ flandoli.langa:08:markov,
author = {Flandoli, Franco and Langa, Jos\'{e} A.},
title = {Markov attractors: a probabilistic approach to multivalued
flows},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {8},
year = {2008},
number = {1},
pages = {59--75},
issn = {0219-4937,1793-6799},
mrclass = {37B25 (34A36 34F05 37L30 60J25)},
mrnumber = {2399926},
mrreviewer = {Peter\ E.\ Kloeden},
doi = {10.1142/S0219493708002202},
url = {https://doi.org/10.1142/S0219493708002202}
}
@Article{ flandoli.langa:99:determining,
author = {Flandoli, Franco and Langa, Jose A.},
title = {Determining modes for dissipative random dynamical
systems},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {66},
year = {1999},
number = {1-2},
pages = {1--25},
issn = {1045-1129},
mrclass = {60H15 (35Q30 35R60)},
mrnumber = {1687791},
doi = {10.1080/17442509908834184},
url = {https://doi.org/10.1080/17442509908834184}
}
@Article{ flandoli.lasiecka.ea:88:algebraic,
author = {Flandoli, F. and Lasiecka, I. and Triggiani, R.},
title = {Algebraic {R}iccati equations with nonsmoothing
observation arising in hyperbolic and {E}uler-{B}ernoulli
boundary control problems},
journal = {Ann. Mat. Pura Appl. (4)},
fjournal = {Annali di Matematica Pura ed Applicata. Serie Quarta},
volume = {153},
year = {1988},
pages = {307--382},
issn = {0003-4622},
mrclass = {49A27 (49A55 93C25)},
mrnumber = {1008349},
mrreviewer = {Kenneth\ B.\ Hannsgen},
doi = {10.1007/BF01762397},
url = {https://doi.org/10.1007/BF01762397}
}
@Article{ flandoli.leimbach.ea:19:uniform,
author = {Flandoli, Franco and Leimbach, Matti and Olivera,
Christian},
title = {Uniform convergence of proliferating particles to the
{FKPP} equation},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {473},
year = {2019},
number = {1},
pages = {27--52},
issn = {0022-247X,1096-0813},
mrclass = {35R60 (35K15 35K91)},
mrnumber = {3912811},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jmaa.2018.12.013},
url = {https://doi.org/10.1016/j.jmaa.2018.12.013}
}
@Article{ flandoli.leimbach:16:mean,
author = {Flandoli, Franco and Leimbach, Matti},
title = {Mean field limit with proliferation},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {21},
year = {2016},
number = {9},
pages = {3029--3052},
issn = {1531-3492,1553-524X},
mrclass = {60K35 (60F17 82C22)},
mrnumber = {3567800},
mrreviewer = {Patr\'{i}cia\ Gon\c{c}alves},
doi = {10.3934/dcdsb.2016086},
url = {https://doi.org/10.3934/dcdsb.2016086}
}
@Article{ flandoli.leocata.ea:19:vlasov-navier-stokes,
author = {Flandoli, Franco and Leocata, Marta and Ricci, Cristiano},
title = {The {V}lasov-{N}avier-{S}tokes equations as a mean field
limit},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {24},
year = {2019},
number = {8},
pages = {3741--3753},
issn = {1531-3492,1553-524X},
mrclass = {35Q83 (35Q30 60K35 76D05)},
mrnumber = {3986254},
mrreviewer = {Sebastian\ Hermann\ Bauer},
doi = {10.3934/dcdsb.2018313},
url = {https://doi.org/10.3934/dcdsb.2018313}
}
@Article{ flandoli.leocata.ea:20:on,
author = {Flandoli, Franco and Leocata, Marta and Ricci, Cristiano},
title = {On the macroscopic limit of {B}rownian particles with
local interaction},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {20},
year = {2020},
number = {6},
pages = {2040007, 24},
issn = {0219-4937,1793-6799},
mrclass = {35Q70 (60K35 82C22)},
mrnumber = {4161971},
doi = {10.1142/S0219493720400079},
url = {https://doi.org/10.1142/S0219493720400079}
}
@Article{ flandoli.leocata.ea:21:navier-stokes-vlasov-fokker-planck,
author = {Flandoli, Franco and Leocata, Marta and Ricci, Cristiano},
title = {The {N}avier-{S}tokes-{V}lasov-{F}okker-{P}lanck system as
a scaling limit of particles in a fluid},
journal = {J. Math. Fluid Mech.},
fjournal = {Journal of Mathematical Fluid Mechanics},
volume = {23},
year = {2021},
number = {2},
pages = {Paper No. 40, 39},
issn = {1422-6928,1422-6952},
mrclass = {76D05 (35Q35 76T20)},
mrnumber = {4234291},
doi = {10.1007/s00021-021-00570-6},
url = {https://doi.org/10.1007/s00021-021-00570-6}
}
@Article{ flandoli.leocata.ea:23:mathematical,
author = {Flandoli, Franco and Leocata, Marta and Ricci, Cristiano},
title = {The mathematical modeling of cancer growth and
angiogenesis by an individual based interacting system},
journal = {J. Theoret. Biol.},
fjournal = {Journal of Theoretical Biology},
volume = {562},
year = {2023},
pages = {Paper No. 111432, 12},
issn = {0022-5193,1095-8541},
mrclass = {92C32},
mrnumber = {4544112},
doi = {10.1016/j.jtbi.2023.111432},
url = {https://doi.org/10.1016/j.jtbi.2023.111432}
}
@Article{ flandoli.leocata:19:particle,
author = {Flandoli, Franco and Leocata, Marta},
title = {A particle system approach to aggregation phenomena},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {56},
year = {2019},
number = {1},
pages = {282--306},
issn = {0021-9002,1475-6072},
mrclass = {60K35 (35K57 35Q92 92B05 92C17 92D25)},
mrnumber = {3981158},
doi = {10.1017/jpr.2019.18},
url = {https://doi.org/10.1017/jpr.2019.18}
}
@Article{ flandoli.lisei:04:stationary,
author = {Flandoli, Franco and Lisei, Hannelore},
title = {Stationary conjugation of flows for parabolic {SPDE}s with
multiplicative noise and some applications},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {22},
year = {2004},
number = {6},
pages = {1385--1420},
issn = {0736-2994,1532-9356},
mrclass = {60H15},
mrnumber = {2095065},
mrreviewer = {Wilfried\ Grecksch},
doi = {10.1081/SAP-200029481},
url = {https://doi.org/10.1081/SAP-200029481}
}
@Article{ flandoli.luo.ea:21:numerical,
author = {Flandoli, Franco and Luo, Dejun and Ricci, Cristiano},
title = {A numerical approach to {K}olmogorov equation in high
dimension based on {G}aussian analysis},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {493},
year = {2021},
number = {1},
pages = {Paper No. 124505, 29},
issn = {0022-247X,1096-0813},
mrclass = {65M75 (47D07 60H35)},
mrnumber = {4153855},
mrreviewer = {Ilja\ Kr\"{o}ker},
doi = {10.1016/j.jmaa.2020.124505},
url = {https://doi.org/10.1016/j.jmaa.2020.124505}
}
@Article{ flandoli.luo.ea:23:numerical,
author = {Flandoli, Franco and Luo, Dejun and Ricci, Cristiano},
title = {Numerical computation of probabilities for nonlinear
{SDE}s in high dimension using {K}olmogorov equation},
journal = {Appl. Math. Comput.},
fjournal = {Applied Mathematics and Computation},
volume = {436},
year = {2023},
pages = {Paper No. 127520, 17},
issn = {0096-3003,1873-5649},
mrclass = {34F05},
mrnumber = {4480746},
doi = {10.1016/j.amc.2022.127520},
url = {https://doi.org/10.1016/j.amc.2022.127520}
}
@Article{ flandoli.luo:19:-white,
author = {Flandoli, Franco and Luo, Dejun},
title = {{$\rho$}-white noise solution to 2{D} stochastic {E}uler
equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {175},
year = {2019},
number = {3-4},
pages = {783--832},
issn = {0178-8051,1432-2064},
mrclass = {60H15 (35Q31 35Q84 35R60 60H40 76D05)},
mrnumber = {4026605},
mrreviewer = {Xiliang\ Fan},
doi = {10.1007/s00440-019-00902-8},
url = {https://doi.org/10.1007/s00440-019-00902-8}
}
@Article{ flandoli.luo:19:euler-lagrangian,
author = {Flandoli, Franco and Luo, Dejun},
title = {Euler-{L}agrangian approach to 3{D} stochastic {E}uler
equations},
journal = {J. Geom. Mech.},
fjournal = {Journal of Geometric Mechanics},
volume = {11},
year = {2019},
number = {2},
pages = {153--165},
issn = {1941-4889,1941-4897},
mrclass = {35R60 (35Q31 76B03 76M35)},
mrnumber = {3984810},
doi = {10.3934/jgm.2019008},
url = {https://doi.org/10.3934/jgm.2019008}
}
@Article{ flandoli.luo:19:kolmogorov,
author = {Flandoli, Franco and Luo, Dejun},
title = {Kolmogorov equations associated to the stochastic two
dimensional {E}uler equations},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {51},
year = {2019},
number = {3},
pages = {1761--1791},
issn = {0036-1410,1095-7154},
mrclass = {35Q31 (35Q84 35R60)},
mrnumber = {3947288},
mrreviewer = {Le\ Chen},
doi = {10.1137/18M1175756},
url = {https://doi.org/10.1137/18M1175756}
}
@Article{ flandoli.luo:20:convergence,
author = {Flandoli, Franco and Luo, Dejun},
title = {Convergence of transport noise to {O}rnstein-{U}hlenbeck
for 2{D} {E}uler equations under the enstrophy measure},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {1},
pages = {264--295},
issn = {0091-1798},
mrclass = {35R60 (35Q30 35Q31 60H40)},
mrnumber = {4079436},
mrreviewer = {Dora Sele\v{s}i},
doi = {10.1214/19-AOP1360},
url = {https://doi.org/10.1214/19-AOP1360}
}
@Article{ flandoli.luo:20:energy,
author = {Flandoli, Franco and Luo, Dejun},
title = {Energy conditional measures and 2{D} turbulence},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {61},
year = {2020},
number = {1},
pages = {013101, 22},
issn = {0022-2488,1089-7658},
mrclass = {76F20 (60B10 60H30 60K35)},
mrnumber = {4047934},
mrreviewer = {Lennaert\ van Veen},
doi = {10.1063/1.5099359},
url = {https://doi.org/10.1063/1.5099359}
}
@Article{ flandoli.luo:21:high,
author = {Flandoli, Franco and Luo, Dejun},
title = {High mode transport noise improves vorticity blow-up
control in 3{D} {N}avier-{S}tokes equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {180},
year = {2021},
number = {1-2},
pages = {309--363},
issn = {0178-8051},
mrclass = {60H15 (60H50 76D05)},
mrnumber = {4265023},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1007/s00440-021-01037-5},
url = {https://doi.org/10.1007/s00440-021-01037-5}
}
@Article{ flandoli.luo:21:point,
author = {Flandoli, Franco and Luo, Dejun},
title = {Point vortex approximation for 2{D} {N}avier-{S}tokes
equations driven by space-time white noise},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {493},
year = {2021},
number = {2},
pages = {Paper No. 124560, 21},
issn = {0022-247X,1096-0813},
mrclass = {60H15 (35Q30 35R60)},
mrnumber = {4144298},
doi = {10.1016/j.jmaa.2020.124560},
url = {https://doi.org/10.1016/j.jmaa.2020.124560}
}
@Article{ flandoli.luongo:22:heat,
author = {Flandoli, Franco and Luongo, Eliseo},
title = {Heat diffusion in a channel under white noise modeling of
turbulence},
journal = {Math. Eng.},
fjournal = {Mathematics in Engineering},
volume = {4},
year = {2022},
number = {4},
pages = {Paper No. 034, 21},
mrclass = {76F55 (76V05)},
mrnumber = {4332460},
mrreviewer = {Matteo Caggio},
doi = {10.3934/mine.2022034},
url = {https://doi.org/10.3934/mine.2022034}
}
@Book{ flandoli.luongo:23:stochastic,
author = {Flandoli, Franco and Luongo, Eliseo},
title = {Stochastic partial differential equations in fluid
mechanics},
series = {Lecture Notes in Mathematics},
volume = {2330},
publisher = {Springer, Singapore},
year = {[2023] \copyright 2023},
pages = {viii+199},
isbn = {978-981-99-0387-0; 978-981-99-0385-6},
mrclass = {76M35 (35Q35 35R60 60H15)},
mrnumber = {4628185},
doi = {10.1007/978-981-99-0385-6},
url = {https://doi.org/10.1007/978-981-99-0385-6}
}
@Article{ flandoli.mahalov:12:stochastic,
author = {Flandoli, Franco and Mahalov, Alex},
title = {Stochastic three-dimensional rotating {N}avier-{S}tokes
equations: averaging, convergence and regularity},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {205},
year = {2012},
number = {1},
pages = {195--237},
issn = {0003-9527,1432-0673},
mrclass = {60H15 (35Q30 35R60 76D06)},
mrnumber = {2927621},
mrreviewer = {Benedetta\ Ferrario},
doi = {10.1007/s00205-012-0507-6},
url = {https://doi.org/10.1007/s00205-012-0507-6}
}
@Article{ flandoli.maslowski:95:ergodicity,
author = {Flandoli, Franco and Maslowski, Bohdan},
title = {Ergodicity of the {$2$}-{D} {N}avier-{S}tokes equation
under random perturbations},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {172},
year = {1995},
number = {1},
pages = {119--141},
issn = {0010-3616,1432-0916},
mrclass = {35R60 (35Q30 60H15 60H30 76D05)},
mrnumber = {1346374},
mrreviewer = {Peter\ E.\ Kloeden},
url = {http://projecteuclid.org/euclid.cmp/1104273961}
}
@Article{ flandoli.maurelli.ea:14:noise,
author = {Flandoli, Franco and Maurelli, Mario and Neklyudov,
Mikhail},
title = {Noise prevents infinite stretching of the passive field in
a stochastic vector advection equation},
journal = {J. Math. Fluid Mech.},
fjournal = {Journal of Mathematical Fluid Mechanics},
volume = {16},
year = {2014},
number = {4},
pages = {805--822},
issn = {1422-6928,1422-6952},
mrclass = {60H15 (35B44 35B65 35R60 76D06)},
mrnumber = {3267550},
doi = {10.1007/s00021-014-0187-0},
url = {https://doi.org/10.1007/s00021-014-0187-0}
}
@Article{ flandoli.minelli:01:probabilistic,
author = {Flandoli, Franco and Minelli, Ida},
title = {Probabilistic models of vortex filaments},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {51(126)},
year = {2001},
number = {4},
pages = {713--731},
issn = {0011-4642,1572-9141},
mrclass = {60H05 (60H30)},
mrnumber = {1864038},
mrreviewer = {Luis\ Rincon},
doi = {10.1023/A:1013708711604},
url = {https://doi.org/10.1023/A:1013708711604}
}
@Article{ flandoli.olivera.ea:20:uniform,
author = {Flandoli, Franco and Olivera, Christian and Simon,
Marielle},
title = {Uniform approximation of 2 dimensional {N}avier-{S}tokes
equation by stochastic interacting particle systems},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {52},
year = {2020},
number = {6},
pages = {5339--5362},
issn = {0036-1410,1095-7154},
mrclass = {60H20 (35Q30 35R60 60F99 60H10)},
mrnumber = {4169261},
doi = {10.1137/20M1328993},
url = {https://doi.org/10.1137/20M1328993}
}
@Article{ flandoli.olivera:18:well-posedness,
author = {Flandoli, Franco and Olivera, Christian},
title = {Well-posedness of the vector advection equations by
stochastic perturbation},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {18},
year = {2018},
number = {2},
pages = {277--301},
issn = {1424-3199,1424-3202},
mrclass = {60H15 (35B30 35Q35 76D03)},
mrnumber = {3820404},
doi = {10.1007/s00028-017-0401-7},
url = {https://doi.org/10.1007/s00028-017-0401-7}
}
@Article{ flandoli.pappalettera.ea:22:nonautonomous,
author = {Flandoli, Franco and Pappalettera, Umberto and Tonello,
Elisa},
title = {Nonautonomous attractors and {Y}oung measures},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {22},
year = {2022},
number = {2},
pages = {Paper No. 2240003, 22},
issn = {0219-4937,1793-6799},
mrclass = {37H05 (34D45 37C60 86A08)},
mrnumber = {4431442},
mrreviewer = {Michael\ Zaks},
doi = {10.1142/S0219493722400032},
url = {https://doi.org/10.1142/S0219493722400032}
}
@Article{ flandoli.pappalettera.ea:22:on,
author = {Flandoli, Franco and Pappalettera, Umberto and Viviani,
Milo},
title = {On the infinite dimension limit of invariant measures and
solutions of {Z}eitlin's 2{D} {E}uler equations},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {189},
year = {2022},
number = {3},
pages = {Paper No. 43, 25},
issn = {0022-4715,1572-9613},
mrclass = {35Q31},
mrnumber = {4496394},
doi = {10.1007/s10955-022-03007-0},
url = {https://doi.org/10.1007/s10955-022-03007-0}
}
@Article{ flandoli.pappalettera:21:2d,
author = {Flandoli, Franco and Pappalettera, Umberto},
title = {2{D} {E}uler equations with {S}tratonovich transport noise
as a large-scale stochastic model reduction},
journal = {J. Nonlinear Sci.},
fjournal = {Journal of Nonlinear Science},
volume = {31},
year = {2021},
number = {1},
pages = {Paper No. 24, 38},
issn = {0938-8974,1432-1467},
mrclass = {76B03 (35Q31 76M35)},
mrnumber = {4215938},
mrreviewer = {Francesco\ Fanelli},
doi = {10.1007/s00332-021-09681-w},
url = {https://doi.org/10.1007/s00332-021-09681-w}
}
@Article{ flandoli.pappalettera:22:from,
author = {Flandoli, Franco and Pappalettera, Umberto},
title = {From additive to transport noise in 2{D} fluid dynamics},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {10},
year = {2022},
number = {3},
pages = {964--1004},
issn = {2194-0401,2194-041X},
mrclass = {35Q31},
mrnumber = {4491507},
doi = {10.1007/s40072-022-00249-7},
url = {https://doi.org/10.1007/s40072-022-00249-7}
}
@Article{ flandoli.priola.ea:19:mean-field,
author = {Flandoli, Franco and Priola, Enrico and Zanco, Giovanni},
title = {A mean-field model with discontinuous coefficients for
neurons with spatial interaction},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {39},
year = {2019},
number = {6},
pages = {3037--3067},
issn = {1078-0947,1553-5231},
mrclass = {60H10 (35Q84 35R60 62M45 92B20 92C20)},
mrnumber = {3959420},
mrreviewer = {Adam\ Andersson},
doi = {10.3934/dcds.2019126},
url = {https://doi.org/10.3934/dcds.2019126}
}
@Article{ flandoli.romito:01:statistically,
author = {Flandoli, Franco and Romito, Marco},
title = {Statistically stationary solutions to the 3-{D}
{N}avier-{S}tokes equation do not show singularities},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {6},
year = {2001},
pages = {no. 5, 15},
issn = {1083-6489},
mrclass = {35Q30 (76D06)},
mrnumber = {1825712},
mrreviewer = {J\"{u}rgen\ Socolowsky},
doi = {10.1214/EJP.v6-78},
url = {https://doi.org/10.1214/EJP.v6-78}
}
@Article{ flandoli.romito:02:partial,
author = {Flandoli, Franco and Romito, Marco},
title = {Partial regularity for the stochastic {N}avier-{S}tokes
equations},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {354},
year = {2002},
number = {6},
pages = {2207--2241},
issn = {0002-9947,1088-6850},
mrclass = {60H15 (35Q30 35R60 76D03 76M35)},
mrnumber = {1885650},
mrreviewer = {Marek\ Capi\'{n}ski},
doi = {10.1090/S0002-9947-02-02975-6},
url = {https://doi.org/10.1090/S0002-9947-02-02975-6}
}
@InProceedings{ flandoli.romito:02:probabilistic,
author = {Flandoli, Franco and Romito, Marco},
title = {Probabilistic analysis of singularities for the 3{D}
{N}avier-{S}tokes equations},
booktitle = {Proceedings of {EQUADIFF}, 10 ({P}rague, 2001)},
journal = {Math. Bohem.},
fjournal = {Academy of Sciences of the Czech Republic. Mathematical
Institute. Mathematica Bohemica},
volume = {127},
year = {2002},
number = {2},
pages = {211--218},
issn = {0862-7959,2464-7136},
mrclass = {76D05 (35Q30 60H15 76D06 76M35)},
mrnumber = {1981526}
}
@Article{ flandoli.romito:06:markov,
author = {Flandoli, Franco and Romito, Marco},
title = {Markov selections and their regularity for the
three-dimensional stochastic {N}avier-{S}tokes equations},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {343},
year = {2006},
number = {1},
pages = {47--50},
issn = {1631-073X,1778-3569},
mrclass = {60H15 (35Q30 35R60 76D05 76D06 76M35)},
mrnumber = {2241958},
mrreviewer = {Hongjun\ Gao},
doi = {10.1016/j.crma.2006.04.025},
url = {https://doi.org/10.1016/j.crma.2006.04.025}
}
@InCollection{ flandoli.romito:07:regularity,
author = {Flandoli, Franco and Romito, Marco},
title = {Regularity of transition semigroups associated to a 3{D}
stochastic {N}avier-{S}tokes equation},
booktitle = {Stochastic differential equations: theory and
applications},
series = {Interdiscip. Math. Sci.},
volume = {2},
pages = {263--280},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2007},
isbn = {978-981-270-662-1; 981-270-662-3},
mrclass = {60H10 (35Q30 35R60 60J35 76D05)},
mrnumber = {2393580},
mrreviewer = {Marek\ Capi\'{n}ski},
doi = {10.1142/9789812770639\_0010},
url = {https://doi.org/10.1142/9789812770639_0010}
}
@Article{ flandoli.romito:08:markov,
author = {Flandoli, Franco and Romito, Marco},
title = {Markov selections for the 3{D} stochastic
{N}avier-{S}tokes equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {140},
year = {2008},
number = {3-4},
pages = {407--458},
issn = {0178-8051,1432-2064},
mrclass = {76D05 (35Q30 35R60 60H15 60H30 76M35)},
mrnumber = {2365480},
mrreviewer = {Hakima\ Bessaih},
doi = {10.1007/s00440-007-0069-y},
url = {https://doi.org/10.1007/s00440-007-0069-y}
}
@Article{ flandoli.russo.ea:03:some,
author = {Flandoli, Franco and Russo, Francesco and Wolf, Jochen},
title = {Some {SDE}s with distributional drift. {I}. {G}eneral
calculus},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {40},
year = {2003},
number = {2},
pages = {493--542},
issn = {0030-6126},
mrclass = {60H20 (47D07 47N30 60H10)},
mrnumber = {1988703},
mrreviewer = {Anna Milian},
url = {http://projecteuclid.org/euclid.ojm/1153493096}
}
@Article{ flandoli.russo.ea:04:some,
author = {Flandoli, Franco and Russo, Francesco and Wolf, Jochen},
title = {Some {SDE}s with distributional drift. {II}.
{L}yons-{Z}heng structure, {I}t\^{o}'s formula and
semimartingale characterization},
journal = {Random Oper. Stochastic Equations},
fjournal = {Random Operators and Stochastic Equations},
volume = {12},
year = {2004},
number = {2},
pages = {145--184},
issn = {0926-6364},
mrclass = {60H10 (47D06 60H05)},
mrnumber = {2065168},
mrreviewer = {Jan I. Seidler},
doi = {10.1163/156939704323074700},
url = {https://doi.org/10.1163/156939704323074700}
}
@Article{ flandoli.russo.ea:18:infinite-dimensional,
author = {Flandoli, Franco and Russo, Francesco and Zanco,
Giovanni},
title = {Infinite-dimensional calculus under weak spatial
regularity of the processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {31},
year = {2018},
number = {2},
pages = {789--826},
issn = {0894-9840,1572-9230},
mrclass = {60H05 (60H15 60H30)},
mrnumber = {3803915},
mrreviewer = {Martin\ Ondrej\'{a}t},
doi = {10.1007/s10959-016-0724-2},
url = {https://doi.org/10.1007/s10959-016-0724-2}
}
@Article{ flandoli.russo:02:generalized,
author = {Flandoli, Franco and Russo, Francesco},
title = {Generalized calculus and {SDE}s with non regular drift},
journal = {Stoch. Stoch. Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {72},
year = {2002},
number = {1-2},
pages = {11--54},
issn = {1045-1129,1029-0346},
mrclass = {60H05 (60H10)},
mrnumber = {1896436},
mrreviewer = {Luis\ Rincon},
doi = {10.1080/10451120290008548},
url = {https://doi.org/10.1080/10451120290008548}
}
@Article{ flandoli.russo:02:generalized*1,
author = {Flandoli, Franco and Russo, Francesco},
title = {Generalized integration and stochastic {ODE}s},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {30},
year = {2002},
number = {1},
pages = {270--292},
issn = {0091-1798,2168-894X},
mrclass = {60H05 (60G60)},
mrnumber = {1894108},
mrreviewer = {W.\ Hackenbroch},
doi = {10.1214/aop/1020107768},
url = {https://doi.org/10.1214/aop/1020107768}
}
@Article{ flandoli.saal:19:msqg,
author = {Flandoli, Franco and Saal, Martin},
title = {m{SQG} equations in distributional spaces and point vortex
approximation},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {19},
year = {2019},
number = {4},
pages = {1071--1090},
issn = {1424-3199,1424-3202},
mrclass = {60H15 (35Q86 35R60 76B03)},
mrnumber = {4031773},
doi = {10.1007/s00028-019-00506-8},
url = {https://doi.org/10.1007/s00028-019-00506-8}
}
@Article{ flandoli.schaumloffel:90:stochastic,
author = {Flandoli, Franco and Schauml\"{o}ffel, Kay-Uwe},
title = {Stochastic parabolic equations in bounded domains: random
evolution operator and {L}yapunov exponents},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {29},
year = {1990},
number = {4},
pages = {461--485},
issn = {1045-1129},
mrclass = {60H15 (35K10 35R60)},
mrnumber = {1124162},
doi = {10.1080/17442509008833628},
url = {https://doi.org/10.1080/17442509008833628}
}
@Article{ flandoli.schmalfu:99:weak,
author = {Flandoli, Franco and Schmalfu\ss , Bj\"{o}rn},
title = {Weak solutions and attractors for three-dimensional
{N}avier-{S}tokes equations with nonregular force},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {11},
year = {1999},
number = {2},
pages = {355--398},
issn = {1040-7294,1572-9222},
mrclass = {60H15 (35B41 35D05 35Q30 35R60 37L30 76D05 76M35)},
mrnumber = {1695250},
mrreviewer = {Marek\ Capi\'{n}ski},
doi = {10.1023/A:1021937715194},
url = {https://doi.org/10.1023/A:1021937715194}
}
@Article{ flandoli.schmalfuss:96:random,
author = {Flandoli, Franco and Schmalfuss, Bj\"{o}rn},
title = {Random attractors for the {$3$}D stochastic
{N}avier-{S}tokes equation with multiplicative white
noise},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {59},
year = {1996},
number = {1-2},
pages = {21--45},
issn = {1045-1129},
mrclass = {60H15 (35B40 35Q30 35R60)},
mrnumber = {1427258},
mrreviewer = {Krystyna\ Twardowska},
doi = {10.1080/17442509608834083},
url = {https://doi.org/10.1080/17442509608834083}
}
@InCollection{ flandoli.tessitore:92:riccati,
author = {Flandoli, Franco and Tessitore, Gianmario},
title = {Riccati equations in stochastic boundary control theory},
booktitle = {System modelling and optimization ({Z}urich, 1991)},
series = {Lect. Notes Control Inf. Sci.},
volume = {180},
pages = {510--519},
publisher = {Springer, Berlin},
year = {1992},
isbn = {3-540-55577-3},
mrclass = {93E20},
mrnumber = {1182368},
doi = {10.1007/BFb0113318},
url = {https://doi.org/10.1007/BFb0113318}
}
@Article{ flandoli.tortorelli:95:time,
author = {Flandoli, Franco and Tortorelli, Vincenzo M.},
title = {Time discretization of {O}rnstein-{U}hlenbeck equations
and stochastic {N}avier-{S}tokes equations with a
generalized noise},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {55},
year = {1995},
number = {1-2},
pages = {141--165},
issn = {1045-1129},
mrclass = {35R60 (35Q30 60H15 76M35)},
mrnumber = {1382289},
mrreviewer = {Ana\ Bela\ Cruzeiro},
doi = {10.1080/17442509508834022},
url = {https://doi.org/10.1080/17442509508834022}
}
@Article{ flandoli.tudor:10:brownian,
author = {Flandoli, Franco and Tudor, Ciprian A.},
title = {Brownian and fractional {B}rownian stochastic currents via
{M}alliavin calculus},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {258},
year = {2010},
number = {1},
pages = {279--306},
issn = {0022-1236,1096-0783},
mrclass = {60H07 (60G22 60J65)},
mrnumber = {2557964},
mrreviewer = {Zhiyuan\ Huang},
doi = {10.1016/j.jfa.2009.05.001},
url = {https://doi.org/10.1016/j.jfa.2009.05.001}
}
@Article{ flandoli.zanco:16:infinite-dimensional,
author = {Flandoli, Franco and Zanco, Giovanni},
title = {An infinite-dimensional approach to path-dependent
{K}olmogorov equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {4},
pages = {2643--2693},
issn = {0091-1798,2168-894X},
mrclass = {60H10 (35K10 35R60 60H30)},
mrnumber = {3531677},
mrreviewer = {Dejun\ Luo},
doi = {10.1214/15-AOP1031},
url = {https://doi.org/10.1214/15-AOP1031}
}
@Article{ flandoli:02:on,
author = {Flandoli, Franco},
title = {On a probabilistic description of small scale structures
in 3{D} fluids},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {38},
year = {2002},
number = {2},
pages = {207--228},
issn = {0246-0203},
mrclass = {76M35 (60J65 76D17 76F99)},
mrnumber = {1899111},
mrreviewer = {Azzouz\ Dermoune},
doi = {10.1016/S0246-0203(01)01092-5},
url = {https://doi.org/10.1016/S0246-0203(01)01092-5}
}
@InCollection{ flandoli:02:stochastic,
author = {Flandoli, Franco},
title = {Stochastic problems in fluid dynamics},
booktitle = {Stochastic partial differential equations and applications
({T}rento, 2002)},
series = {Lecture Notes in Pure and Appl. Math.},
volume = {227},
pages = {209--234},
publisher = {Dekker, New York},
year = {2002},
isbn = {0-8247-0792-3},
mrclass = {60H10 (35Q30 76D05 76D06 76M35)},
mrnumber = {1919511}
}
@InCollection{ flandoli:03:some,
author = {Flandoli, Franco},
title = {Some remarks on a statistical theory of turbulent flows},
booktitle = {Probabilistic methods in fluids},
pages = {144--160},
publisher = {World Sci. Publ., River Edge, NJ},
year = {2003},
isbn = {981-238-226-7},
mrclass = {76F55 (35Q35 35R60 37L30 37L40 76D05 76M35)},
mrnumber = {2083370},
mrreviewer = {Azzouz\ Dermoune},
doi = {10.1142/9789812703989\_0010},
url = {https://doi.org/10.1142/9789812703989_0010}
}
@Article{ flandoli:06:on,
author = {Flandoli, F.},
title = {On the method of {D}a {P}rato and {D}ebussche for the 3{D}
stochastic {N}avier {S}tokes equations},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {6},
year = {2006},
number = {2},
pages = {269--286},
issn = {1424-3199,1424-3202},
mrclass = {35R60 (35Q30 60H15 76D05 76D06 76M35)},
mrnumber = {2227697},
mrreviewer = {Ana\ Bela\ Cruzeiro},
doi = {10.1007/s00028-006-0243-1},
url = {https://doi.org/10.1007/s00028-006-0243-1}
}
@InCollection{ flandoli:06:two,
author = {Flandoli, Franco},
title = {Two models of {K}41},
booktitle = {Stochastic partial differential equations and
applications---{VII}},
series = {Lect. Notes Pure Appl. Math.},
volume = {245},
pages = {105--114},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
isbn = {978-0-8247-0027-0; 0-8247-0027-9},
mrclass = {60G60 (60H15)},
mrnumber = {2227224},
mrreviewer = {David\ Nualart},
doi = {10.1201/9781420028720.ch11},
url = {https://doi.org/10.1201/9781420028720.ch11}
}
@InCollection{ flandoli:08:introduction,
author = {Flandoli, Franco},
title = {An introduction to 3{D} stochastic fluid dynamics},
booktitle = {S{PDE} in hydrodynamic: recent progress and prospects},
series = {Lecture Notes in Math.},
volume = {1942},
pages = {51--150},
publisher = {Springer, Berlin},
year = {2008},
mrclass = {76M35 (35Q35 35R60 60H15 76D03 76D05)},
mrnumber = {2459085},
mrreviewer = {Piotr Biler},
doi = {10.1007/978-3-540-78493-7\_2},
url = {https://doi.org/10.1007/978-3-540-78493-7_2}
}
@InCollection{ flandoli:08:remarks,
author = {Flandoli, Franco},
title = {Remarks on 3{D} stochastic {N}avier-{S}tokes equations},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications {V}},
series = {Progr. Probab.},
volume = {59},
pages = {123--134},
publisher = {Birkh\"{a}user, Basel},
year = {2008},
isbn = {978-3-7643-8457-9},
mrclass = {60H15 (35Q35 35R60 76D05 76M35)},
mrnumber = {2401954},
mrreviewer = {Hongjun\ Gao},
doi = {10.1007/978-3-7643-8458-6\_8},
url = {https://doi.org/10.1007/978-3-7643-8458-6_8}
}
@Article{ flandoli:09:remarks,
author = {Flandoli, Franco},
title = {Remarks on uniqueness and strong solutions to
deterministic and stochastic differential equations},
journal = {Metrika},
fjournal = {Metrika. International Journal for Theoretical and Applied
Statistics},
volume = {69},
year = {2009},
number = {2-3},
pages = {101--123},
issn = {0026-1335,1435-926X},
mrclass = {60H10 (34F05)},
mrnumber = {2481917},
mrreviewer = {Ning-Mao\ Xia},
doi = {10.1007/s00184-008-0210-7},
url = {https://doi.org/10.1007/s00184-008-0210-7}
}
@Article{ flandoli:11:interaction,
author = {Flandoli, Franco},
title = {The interaction between noise and transport mechanisms in
{PDE}s},
journal = {Milan J. Math.},
fjournal = {Milan Journal of Mathematics},
volume = {79},
year = {2011},
number = {2},
pages = {543--560},
issn = {1424-9286,1424-9294},
mrclass = {35R60 (35A02 35B44 35Q35 60H10 60H15 76Q05)},
mrnumber = {2862027},
mrreviewer = {Mar\'{i}a\ J.\ Garrido-Atienza},
doi = {10.1007/s00032-011-0164-5},
url = {https://doi.org/10.1007/s00032-011-0164-5}
}
@Book{ flandoli:11:random,
author = {Flandoli, Franco},
title = {Random perturbation of {PDE}s and fluid dynamic models},
series = {Lecture Notes in Mathematics},
volume = {2015},
note = {Lectures from the 40th Probability Summer School held in
Saint-Flour, 2010, \'{E}cole d'\'{E}t\'{e} de
Probabilit\'{e}s de Saint-Flour. [Saint-Flour Probability
Summer School]},
publisher = {Springer, Heidelberg},
year = {2011},
pages = {x+176},
isbn = {978-3-642-18230-3},
mrclass = {60H15 (35B40 35Q35 35R60 60H10 76D05 76M35)},
mrnumber = {2796837},
mrreviewer = {Peter E. Kloeden},
doi = {10.1007/978-3-642-18231-0},
url = {https://doi.org/10.1007/978-3-642-18231-0}
}
@Article{ flandoli:11:regularizing,
author = {Flandoli, Franco},
title = {Regularizing properties of {B}rownian paths and a result
of {D}avie},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {11},
year = {2011},
number = {2-3},
pages = {323--331},
issn = {0219-4937,1793-6799},
mrclass = {60J65 (60G17 60H10)},
mrnumber = {2836529},
mrreviewer = {Vilmos\ Prokaj},
doi = {10.1142/S0219493711003310},
url = {https://doi.org/10.1142/S0219493711003310}
}
@Article{ flandoli:13:interaction,
author = {Flandoli, Franco},
title = {Interaction between noise and singularities in partial
differential equations},
journal = {Boll. Unione Mat. Ital. (9)},
fjournal = {Bollettino della Unione Matematica Italiana. Serie 9},
volume = {6},
year = {2013},
number = {2},
pages = {253--267},
issn = {1972-6724},
mrclass = {60H15 (35F10 35R60 60H30)},
mrnumber = {3112979},
mrreviewer = {Benedetta\ Ferrario}
}
@InCollection{ flandoli:15:stochastic,
author = {Flandoli, Franco},
title = {A stochastic view over the open problem of well-posedness
for the 3{D} {N}avier-{S}tokes equations},
booktitle = {Stochastic analysis: a series of lectures},
series = {Progr. Probab.},
volume = {68},
pages = {221--246},
publisher = {Birkh\"{a}user/Springer, Basel},
year = {2015},
isbn = {978-3-0348-0909-2; 978-3-0348-0908-5},
mrclass = {35Q30 (35B30 60H15 60H30 76D06)},
mrnumber = {3558127},
doi = {10.1007/978-3-0348-0909-2\_8},
url = {https://doi.org/10.1007/978-3-0348-0909-2_8}
}
@InCollection{ flandoli:16:possible,
author = {Flandoli, Franco},
title = {Possible effect of noise on stretching mechanism},
booktitle = {Recent advances in partial differential equations and
applications},
series = {Contemp. Math.},
volume = {666},
pages = {201--209},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2016},
isbn = {978-1-4704-1521-1},
mrclass = {60H15 (35B44 35Q35 76D03)},
mrnumber = {3537467},
mrreviewer = {Carles\ Rovira},
doi = {10.1090/conm/666/13333},
url = {https://doi.org/10.1090/conm/666/13333}
}
@InCollection{ flandoli:16:remarks,
author = {Flandoli, Franco},
title = {Remarks on stochastic {N}avier-{S}tokes equations},
booktitle = {Mathematical paradigms of climate science},
series = {Springer INdAM Ser.},
volume = {15},
pages = {51--65},
publisher = {Springer, [Cham]},
year = {2016},
isbn = {978-3-319-39091-8; 978-3-319-39092-5},
mrclass = {60H15 (35Q30 35R60 76D06)},
mrnumber = {3616130}
}
@InCollection{ flandoli:17:open,
author = {Flandoli, Franco},
title = {An open problem in the theory of regularization by noise
for nonlinear {PDE}s},
booktitle = {Stochastic geometric mechanics},
series = {Springer Proc. Math. Stat.},
volume = {202},
pages = {13--29},
publisher = {Springer, Cham},
year = {2017},
isbn = {978-3-319-63453-1; 978-3-319-63452-4},
mrclass = {35R60 (35A02 35Q31 60H15)},
mrnumber = {3747642},
doi = {10.1007/978-3-319-63453-1\_2},
url = {https://doi.org/10.1007/978-3-319-63453-1_2}
}
@Article{ flandoli:18:weak,
author = {Flandoli, Franco},
title = {Weak vorticity formulation of 2{D} {E}uler equations with
white noise initial condition},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {43},
year = {2018},
number = {7},
pages = {1102--1149},
issn = {0360-5302,1532-4133},
mrclass = {35Q31 (35R60)},
mrnumber = {3910197},
mrreviewer = {Paul\ Andr\'{e}\ Razafimandimby},
doi = {10.1080/03605302.2018.1467448},
url = {https://doi.org/10.1080/03605302.2018.1467448}
}
@Article{ flandoli:20:renormalized,
author = {Flandoli, Franco},
title = {Renormalized {O}nsager functions and merging of vortex
clusters},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {20},
year = {2020},
number = {6},
pages = {2040010, 12},
issn = {0219-4937,1793-6799},
mrclass = {76F55 (76B47 76D06 76M23)},
mrnumber = {4161974},
doi = {10.1142/S0219493720400109},
url = {https://doi.org/10.1142/S0219493720400109}
}
@Article{ flandoli:82:global,
author = {Flandoli, Franco},
title = {Global existence for a {R}iccati equation arising in a
boundary control problem for distributed parameters},
journal = {Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat.
(8)},
fjournal = {Atti della Accademia Nazionale dei Lincei. Rendiconti.
Classe di Scienze Fisiche, Matematiche e Naturali. Serie
VIII},
volume = {72},
year = {1982},
number = {4},
pages = {220--224},
issn = {0392-7881},
mrclass = {49A27 (34G20 49A10 93C25)},
mrnumber = {728102},
mrreviewer = {B.\ P.\ Molinari}
}
@Article{ flandoli:82:riccati,
author = {Flandoli, Franco},
title = {A {R}iccati equation arising in a boundary control problem
for distributed parameters},
journal = {Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat.
(8)},
fjournal = {Atti della Accademia Nazionale dei Lincei. Rendiconti.
Classe di Scienze Fisiche, Matematiche e Naturali. Serie
VIII},
volume = {72},
year = {1982},
number = {3},
pages = {133--136},
issn = {0392-7881},
mrclass = {93C05 (34H05 35B32 49A22)},
mrnumber = {726093},
mrreviewer = {H.\ O.\ Fattorini}
}
@Article{ flandoli:82:riccati*1,
author = {Flandoli, Franco},
title = {Riccati equation arising in a stochastic optimal control
problem with boundary control},
journal = {Boll. Un. Mat. Ital. C (6)},
fjournal = {Unione Matematica Italiana. Bollettino. C. Serie VI.
Analisi Funzionale e Applicazioni},
volume = {1},
year = {1982},
number = {1},
pages = {377--393},
mrclass = {93E20 (34G20 34H05)},
mrnumber = {696281},
mrreviewer = {B.\ P.\ Molinari}
}
@Article{ flandoli:84:riccati,
author = {Flandoli, Franco},
title = {Riccati equation arising in a boundary control problem
with distributed parameters},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {22},
year = {1984},
number = {1},
pages = {76--86},
issn = {0363-0129},
mrclass = {49A27 (34H05)},
mrnumber = {728673},
mrreviewer = {Mimma\ de Acutis},
doi = {10.1137/0322006},
url = {https://doi.org/10.1137/0322006}
}
@InCollection{ flandoli:85:on,
author = {Flandoli, F.},
title = {On the optimal control of non-well-posed systems with
boundary control},
booktitle = {Distributed parameter systems ({V}orau, 1984)},
series = {Lect. Notes Control Inf. Sci.},
volume = {75},
pages = {179--190},
publisher = {Springer, Berlin},
year = {1985},
isbn = {3-540-15872-3},
mrclass = {93C20},
mrnumber = {897559},
doi = {10.1007/BFb0005652},
url = {https://doi.org/10.1007/BFb0005652}
}
@Article{ flandoli:86:direct,
author = {Flandoli, Franco},
title = {Direct solution of a {R}iccati equation arising in a
stochastic control problem with control and observation on
the boundary},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {14},
year = {1986},
number = {2},
pages = {107--129},
issn = {0095-4616,1432-0606},
mrclass = {93C20 (93E20)},
mrnumber = {863335},
mrreviewer = {Akira\ Ichikawa},
doi = {10.1007/BF01442231},
url = {https://doi.org/10.1007/BF01442231}
}
@Article{ flandoli:86:dynamic,
author = {Flandoli, Franco},
title = {Dynamic programming approach to the optimal control of
systems governed by non-well-posed {C}auchy problems in
{H}ilbert spaces},
journal = {Boll. Un. Mat. Ital. B (6)},
fjournal = {Unione Matematica Italiana. Bollettino. B. Serie VI},
volume = {5},
year = {1986},
number = {1},
pages = {177--195},
mrclass = {49A22 (49C20)},
mrnumber = {841624},
mrreviewer = {Jerzy\ Zabczyk}
}
@Article{ flandoli:86:riccati,
author = {Flandoli, Franco},
title = {Riccati equation arising in the boundary control of
stochastic hyperbolic systems},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {4},
year = {1986},
number = {2},
pages = {131--150},
issn = {0736-2994,1532-9356},
mrclass = {93C20 (93E20)},
mrnumber = {829650},
mrreviewer = {Akira\ Ichikawa},
doi = {10.1080/07362998608809085},
url = {https://doi.org/10.1080/07362998608809085}
}
@Article{ flandoli:87:algebraic,
author = {Flandoli, Franco},
title = {Algebraic {R}iccati equation arising in boundary control
problems},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {25},
year = {1987},
number = {3},
pages = {612--636},
issn = {0363-0129},
mrclass = {49A27 (49A22 93E20)},
mrnumber = {885189},
mrreviewer = {V.\ Popescu},
doi = {10.1137/0325035},
url = {https://doi.org/10.1137/0325035}
}
@InCollection{ flandoli:87:dirichlet,
author = {Flandoli, Franco},
title = {Dirichlet boundary value problem and optimal control for a
stochastic distributed parameter system},
booktitle = {Stochastic partial differential equations and applications
({T}rento, 1985)},
series = {Lecture Notes in Math.},
volume = {1236},
pages = {57--71},
publisher = {Springer, Berlin},
year = {1987},
isbn = {3-540-17211-4},
mrclass = {49A60 (35R60 93C20 93E20)},
mrnumber = {899296},
mrreviewer = {N.\ U.\ Ahmed},
doi = {10.1007/BFb0072883},
url = {https://doi.org/10.1007/BFb0072883}
}
@Article{ flandoli:87:invertibility,
author = {Flandoli, Franco},
title = {Invertibility of {R}iccati operators and controllability
of related systems},
journal = {Systems Control Lett.},
fjournal = {Systems \& Control Letters},
volume = {9},
year = {1987},
number = {1},
pages = {65--72},
issn = {0167-6911,1872-7956},
mrclass = {93B05 (93A10 93B25)},
mrnumber = {894727},
mrreviewer = {O.\ A.\ Sebakhy},
doi = {10.1016/0167-6911(87)90010-7},
url = {https://doi.org/10.1016/0167-6911(87)90010-7}
}
@Article{ flandoli:89:new,
author = {Flandoli, Franco},
title = {A new proof of an a priori estimate arising in boundary
control theory},
journal = {Appl. Math. Lett.},
fjournal = {Applied Mathematics Letters. An International Journal of
Rapid Publication},
volume = {2},
year = {1989},
number = {4},
pages = {341--343},
issn = {0893-9659,1873-5452},
mrclass = {93C20 (45G05 49D40)},
mrnumber = {1025847},
doi = {10.1016/0893-9659(89)90083-9},
url = {https://doi.org/10.1016/0893-9659(89)90083-9}
}
@InCollection{ flandoli:90:boundary,
author = {Flandoli, Franco},
title = {Boundary control of a stochastic parabolic equation with
nonsmooth final cost},
booktitle = {Analysis and optimization of systems ({A}ntibes, 1990)},
series = {Lect. Notes Control Inf. Sci.},
volume = {144},
pages = {694--703},
publisher = {Springer, Berlin},
year = {1990},
isbn = {3-540-52630-7},
mrclass = {93E20 (93C20)},
mrnumber = {1070780},
mrreviewer = {Wies\l aw\ Kotarski},
doi = {10.1007/BFb0120091},
url = {https://doi.org/10.1007/BFb0120091}
}
@Article{ flandoli:90:counterexample,
author = {Flandoli, Franco},
title = {A counterexample in the boundary control of parabolic
systems},
journal = {Appl. Math. Lett.},
fjournal = {Applied Mathematics Letters. An International Journal of
Rapid Publication},
volume = {3},
year = {1990},
number = {2},
pages = {47--50},
issn = {0893-9659,1873-5452},
mrclass = {93C20 (35B37 35K40)},
mrnumber = {1052247},
doi = {10.1016/0893-9659(90)90012-Z},
url = {https://doi.org/10.1016/0893-9659(90)90012-Z}
}
@Article{ flandoli:90:dirichlet,
author = {Flandoli, Franco},
title = {Dirichlet boundary value problem for stochastic parabolic
equations: compatibility relations and regularity of
solutions},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {29},
year = {1990},
number = {3},
pages = {331--357},
issn = {1045-1129},
mrclass = {35R60 (35K99 60H15)},
mrnumber = {1042066},
mrreviewer = {Daniel\ Ocone},
doi = {10.1080/17442509008833620},
url = {https://doi.org/10.1080/17442509008833620}
}
@Article{ flandoli:90:solution,
author = {Flandoli, Franco},
title = {Solution and control of a bilinear stochastic delay
equation},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {28},
year = {1990},
number = {4},
pages = {936--949},
issn = {0363-0129},
mrclass = {49K45 (60H20 93C20)},
mrnumber = {1051631},
mrreviewer = {Negash\ G.\ Medhin},
doi = {10.1137/0328052},
url = {https://doi.org/10.1137/0328052}
}
@InCollection{ flandoli:91:l-q-r,
author = {Flandoli, Franco},
title = {L-{Q}-{R} approach to a class of non-well-posed parabolic
systems},
booktitle = {New trends in systems theory ({G}enoa, 1990)},
series = {Progr. Systems Control Theory},
volume = {7},
pages = {276--283},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1991},
isbn = {0-8176-3548-3},
mrclass = {93C20},
mrnumber = {1125117}
}
@Article{ flandoli:91:stochastic,
author = {Flandoli, Franco},
title = {A stochastic reaction-diffusion equation with
multiplicative noise},
journal = {Appl. Math. Lett.},
fjournal = {Applied Mathematics Letters. An International Journal of
Rapid Publication},
volume = {4},
year = {1991},
number = {4},
pages = {45--48},
issn = {0893-9659,1873-5452},
mrclass = {35R60 (35K57)},
mrnumber = {1117768},
doi = {10.1016/0893-9659(91)90052-W},
url = {https://doi.org/10.1016/0893-9659(91)90052-W}
}
@InCollection{ flandoli:91:stochastic*1,
author = {Flandoli, Franco},
title = {Stochastic flow and {L}yapunov exponents for abstract
stochastic {PDE}s of parabolic type},
booktitle = {Lyapunov exponents ({O}berwolfach, 1990)},
series = {Lecture Notes in Math.},
volume = {1486},
pages = {196--205},
publisher = {Springer, Berlin},
year = {1991},
isbn = {3-540-54662-6},
mrclass = {60H15 (35R60)},
mrnumber = {1178958},
mrreviewer = {Bohdan\ Maslowski},
doi = {10.1007/BFb0086669},
url = {https://doi.org/10.1007/BFb0086669}
}
@Article{ flandoli:92:on,
author = {Flandoli, Franco},
title = {On the semigroup approach to stochastic evolution
equations},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {10},
year = {1992},
number = {2},
pages = {181--203},
issn = {0736-2994,1532-9356},
mrclass = {34G10 (34F05 47D06 47N20 60H15)},
mrnumber = {1154534},
mrreviewer = {Yu.\ L.\ Daletskiu{i}},
doi = {10.1080/07362999208809262},
url = {https://doi.org/10.1080/07362999208809262}
}
@InCollection{ flandoli:92:stochastic,
author = {Flandoli, Franco},
title = {Stochastic evolution equations with noncoercive monotone
operators},
booktitle = {Stochastic partial differential equations and their
applications ({C}harlotte, {NC}, 1991)},
series = {Lect. Notes Control Inf. Sci.},
volume = {176},
pages = {70--80},
publisher = {Springer, Berlin},
year = {1992},
isbn = {3-540-55292-8},
mrclass = {60H10 (34F05 34G10 35R60 47H20 47N20 60H25)},
mrnumber = {1176773},
mrreviewer = {B.\ G.\ Pachpatte},
doi = {10.1007/BFb0007322},
url = {https://doi.org/10.1007/BFb0007322}
}
@Article{ flandoli:93:on,
author = {Flandoli, Franco},
title = {On the direct solution of {R}iccati equations arising in
boundary control theory},
journal = {Ann. Mat. Pura Appl. (4)},
fjournal = {Annali di Matematica Pura ed Applicata. Serie Quarta},
volume = {163},
year = {1993},
pages = {93--131},
issn = {0003-4622},
mrclass = {93C20 (34G20 34H05 35B37 47N70)},
mrnumber = {1219593},
mrreviewer = {Adam\ Kowalewski},
doi = {10.1007/BF01759017},
url = {https://doi.org/10.1007/BF01759017}
}
@Article{ flandoli:94:dissipativity,
author = {Flandoli, Franco},
title = {Dissipativity and invariant measures for stochastic
{N}avier-{S}tokes equations},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {1},
year = {1994},
number = {4},
pages = {403--423},
issn = {1021-9722,1420-9004},
mrclass = {35R60 (35Q30 60H15)},
mrnumber = {1300150},
mrreviewer = {Jan\ I.\ Seidler},
doi = {10.1007/BF01194988},
url = {https://doi.org/10.1007/BF01194988}
}
@Book{ flandoli:95:regularity,
author = {Flandoli, Franco},
title = {Regularity theory and stochastic flows for parabolic
{SPDE}s},
series = {Stochastics Monographs},
volume = {9},
publisher = {Gordon and Breach Science Publishers, Yverdon},
year = {1995},
pages = {x+79},
isbn = {2-88449-045-0},
mrclass = {60H15 (35B65 35K99 35R60)},
mrnumber = {1347450},
mrreviewer = {Marek Capi\'{n}ski}
}
@InCollection{ flandoli:96:stochastic,
author = {Flandoli, Franco},
title = {Stochastic evolution equations with non-coercive monotone
operators},
booktitle = {World {C}ongress of {N}onlinear {A}nalysts '92, {V}ol.
{I}--{IV} ({T}ampa, {FL}, 1992)},
pages = {1765--1777},
publisher = {de Gruyter, Berlin},
year = {1996},
isbn = {3-11-013215-X},
mrclass = {34F05 (47H15 60H10)},
mrnumber = {1389208}
}
@Article{ flandoli:96:stochastic*1,
author = {Flandoli, Franco},
title = {Stochastic flows for nonlinear second-order parabolic
{SPDE}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {2},
pages = {547--558},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (35K57 35R60)},
mrnumber = {1404520},
mrreviewer = {Marek\ Capi\'{n}ski},
doi = {10.1214/aop/1039639354},
url = {https://doi.org/10.1214/aop/1039639354}
}
@Article{ flandoli:96:stochastic*2,
author = {Flandoli, Franco},
title = {Stochastic differential equations in fluid dynamics},
journal = {Rend. Sem. Mat. Fis. Milano},
fjournal = {Rendiconti del Seminario Matematico e Fisico di Milano},
volume = {66},
year = {1996},
pages = {121--148},
issn = {0370-7377},
mrclass = {35R60 (35Q30 60H15 76M35)},
mrnumber = {1639835},
mrreviewer = {Alp\ O.\ Eden},
doi = {10.1007/BF02925357},
url = {https://doi.org/10.1007/BF02925357}
}
@Article{ flandoli:97:irreducibility,
author = {Flandoli, Franco},
title = {Irreducibility of the {$3$}-{D} stochastic
{N}avier-{S}tokes equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {149},
year = {1997},
number = {1},
pages = {160--177},
issn = {0022-1236,1096-0783},
mrclass = {35R60 (35Q30 60H15 76D05)},
mrnumber = {1471103},
mrreviewer = {Peter\ E.\ Kloeden},
doi = {10.1006/jfan.1996.3089},
url = {https://doi.org/10.1006/jfan.1996.3089}
}
@InProceedings{ fleischer.trippen:05:exploring,
author = {Rudolf Fleischer and Gerhard Trippen},
title = {Exploring an Unknown Graph Efficiently},
booktitle = {{ESA}},
year = {2005},
volume = {3669},
series = {Lecture Notes in Computer Science},
publisher = {Springer},
pages = {11--22}
}
@Article{ fleischmann.mueller.ea:07:large,
author = {Fleischmann, Klaus and Mueller, Carl and Vogt, Pascal},
title = {The large scale behavior of super-{B}rownian motion in
three dimensions with a single point source},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {1},
year = {2007},
number = {1},
pages = {19--28},
mrclass = {60J80 (60K35)},
mrnumber = {2404370},
mrreviewer = {Peter M\"{o}rters},
doi = {10.31390/cosa.1.1.03},
url = {https://doi.org/10.31390/cosa.1.1.03}
}
@InCollection{ fleischmann.mueller:00:finite,
author = {Fleischmann, Klaus and Mueller, Carl},
title = {Finite time extinction of catalytic branching processes},
booktitle = {Stochastic models ({O}ttawa, {ON}, 1998)},
series = {CMS Conf. Proc.},
volume = {26},
pages = {125--139},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {60J80 (60G57 60J55)},
mrnumber = {1765007},
mrreviewer = {Alexander Schied},
doi = {10.1214/aop/1019160254},
url = {https://doi.org/10.1214/aop/1019160254}
}
@Article{ fleischmann.mueller:04:super-brownian,
author = {Fleischmann, Klaus and Mueller, Carl},
title = {Super-{B}rownian motion with extra birth at one point},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {36},
year = {2004/05},
number = {3},
pages = {740--772},
issn = {0036-1410},
mrclass = {60J80 (60K35)},
mrnumber = {2111914},
mrreviewer = {Da-Quan Jiang},
doi = {10.1137/S0036141002419473},
url = {https://doi.org/10.1137/S0036141002419473}
}
@Article{ fleischmann.mueller:97:super-brownian,
author = {Fleischmann, Klaus and Mueller, Carl},
title = {A super-{B}rownian motion with a locally infinite
catalytic mass},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {107},
year = {1997},
number = {3},
pages = {325--357},
issn = {0178-8051},
mrclass = {60G57 (60J55 60J80)},
mrnumber = {1440136},
mrreviewer = {Xue Lei Zhao},
doi = {10.1007/s004400050088},
url = {https://doi.org/10.1007/s004400050088}
}
@Article{ fleischmann.mytnik.ea:10:optimal,
author = {Fleischmann, Klaus and Mytnik, Leonid and Wachtel,
Vitali},
title = {Optimal local {H}\"{o}lder index for density states of
superprocesses with {$(1+\beta)$}-branching mechanism},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {3},
pages = {1180--1220},
issn = {0091-1798},
mrclass = {60J68},
mrnumber = {2674997},
mrreviewer = {Kenji Handa},
doi = {10.1214/09-AOP501},
url = {https://doi.org/10.1214/09-AOP501}
}
@Article{ fleischmann.mytnik.ea:11:holder,
author = {Fleischmann, Klaus and Mytnik, Leonid and Wachtel,
Vitali},
title = {H\"{o}lder index at a given point for density states of
{$\text{super-}\alpha\text{-stable}$} motion of index
{$1+\beta$}},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {24},
year = {2011},
number = {1},
pages = {66--92},
issn = {0894-9840},
mrclass = {60J68 (60G52)},
mrnumber = {2782711},
mrreviewer = {Makoto Yamazato},
doi = {10.1007/s10959-010-0334-3},
url = {https://doi.org/10.1007/s10959-010-0334-3}
}
@InCollection{ fleischmann.mytnik.ea:12:properties,
author = {Fleischmann, Klaus and Mytnik, Leonid and Wachtel,
Vitali},
title = {Properties of states of super-{$\alpha$}-stable motion
with branching of index {$1+\beta$}},
booktitle = {Probability in complex physical systems},
series = {Springer Proc. Math.},
volume = {11},
pages = {409--421},
publisher = {Springer, Heidelberg},
year = {2012},
mrclass = {60J80 (60G57)},
mrnumber = {3372857},
mrreviewer = {Ankit Gupta},
doi = {10.1007/978-3-642-23811-6\_16},
url = {https://doi.org/10.1007/978-3-642-23811-6_16}
}
@Article{ fleischmann.mytnik:03:competing,
author = {Fleischmann, Klaus and Mytnik, Leonid},
title = {Competing species superprocesses with infinite variance},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {8},
year = {2003},
pages = {no. 8, 59},
issn = {1083-6489},
mrclass = {60K35 (60G57 60J55 60J80)},
mrnumber = {1986840},
mrreviewer = {Anton Wakolbinger},
doi = {10.1214/EJP.v8-136},
url = {https://doi.org/10.1214/EJP.v8-136}
}
@Article{ florescu.viens:06:sharp,
author = {Florescu, Ionu\c{t} and Viens, Frederi},
title = {Sharp estimation of the almost-sure {L}yapunov exponent
for the {A}nderson model in continuous space},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {135},
year = {2006},
number = {4},
pages = {603--644},
issn = {0178-8051},
mrclass = {60H15 (47B80 60G15 60H07)},
mrnumber = {2240702},
mrreviewer = {Maria E. Vares},
doi = {10.1007/s00440-005-0471-2},
url = {https://doi.org/10.1007/s00440-005-0471-2}
}
@Article{ florit.nualart:95:local,
author = {Florit, Carme and Nualart, David},
title = {A local criterion for smoothness of densities and
application to the supremum of the {B}rownian sheet},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {22},
year = {1995},
number = {1},
pages = {25--31},
issn = {0167-7152},
mrclass = {60H07 (60J65)},
mrnumber = {1327725},
mrreviewer = {Jean Picard},
doi = {10.1016/0167-7152(94)00043-8},
url = {https://doi.org/10.1016/0167-7152(94)00043-8}
}
@Article{ florit.nualart:96:diffusion,
author = {Florit, Carme and Nualart, David},
title = {Diffusion approximation for hyperbolic stochastic
differential equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {65},
year = {1996},
number = {1},
pages = {1--15},
issn = {0304-4149},
mrclass = {60H15 (60G60)},
mrnumber = {1422876},
mrreviewer = {Jean-Pierre Fouque},
doi = {10.1016/S0304-4149(96)00098-1},
url = {https://doi.org/10.1016/S0304-4149(96)00098-1}
}
@Book{ flory:53:principles,
title = {Principles of polymer chemistry},
author = {Flory, Paul J},
year = {1953},
publisher = {Cornell university press}
}
@Article{ foerster.wattenhofer:16:lower,
author = {Klaus-Tycho Foerster and Roger Wattenhofer},
title = {Lower and upper competitive bounds for online directed
graph exploration},
journal = {Theor. Comput. Sci.},
year = {2016},
volume = {655},
pages = {15--29}
}
@Article{ foias.temam:89:gevrey,
author = {Foias, C. and Temam, R.},
title = {Gevrey class regularity for the solutions of the
{N}avier-{S}tokes equations},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {87},
year = {1989},
number = {2},
pages = {359--369},
issn = {0022-1236},
mrclass = {35Q30 (35B65 76D05)},
mrnumber = {1026858},
mrreviewer = {Rodolfo Salvi},
doi = {10.1016/0022-1236(89)90015-3},
url = {https://doi.org/10.1016/0022-1236(89)90015-3}
}
@Book{ fokas.its.ea:06:painleve,
author = {Fokas, Athanassios S. and Its, Alexander R. and Kapaev,
Andrei A. and Novokshenov, Victor Yu.},
title = {Painlev\'{e} transcendents},
series = {Mathematical Surveys and Monographs},
volume = {128},
note = {The Riemann-Hilbert approach},
publisher = {American Mathematical Society, Providence, RI},
year = {2006},
pages = {xii+553},
isbn = {0-8218-3651-X},
mrclass = {33E17 (30E25 34M50 34M55 37K15 37K20)},
mrnumber = {2264522},
mrreviewer = {Galina V. Filipuk},
doi = {10.1090/surv/128},
url = {https://doi.org/10.1090/surv/128}
}
@Book{ folland:08:quantum,
author = {Folland, Gerald B.},
title = {Quantum field theory},
series = {Mathematical Surveys and Monographs},
volume = {149},
note = {A tourist guide for mathematicians},
publisher = {American Mathematical Society, Providence, RI},
year = {2008},
pages = {xii+325},
isbn = {978-0-8218-4705-3},
mrclass = {81-02 (81T08 81T15 81T18 81U20)},
mrnumber = {2436991},
mrreviewer = {Walter D. van Suijlekom},
doi = {10.1090/surv/149},
url = {https://doi.org/10.1090/surv/149}
}
@Book{ folland:95:introduction,
author = {Folland, Gerald B.},
title = {Introduction to partial differential equations},
edition = {Second},
publisher = {Princeton University Press, Princeton, NJ},
year = {1995},
pages = {xii+324},
isbn = {0-691-04361-2},
mrclass = {35-01},
mrnumber = {1357411}
}
@Book{ folland:99:real,
author = {Folland, Gerald B.},
title = {Real analysis},
series = {Pure and Applied Mathematics (New York)},
edition = {Second},
note = {Modern techniques and their applications, A
Wiley-Interscience Publication},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1999},
pages = {xvi+386},
isbn = {0-471-31716-0},
mrclass = {00A05 (26-01 28-01 46-01)},
mrnumber = {1681462}
}
@Article{ foondun.guerngar.ea:17:some,
author = {Foondun, Mohammud and Guerngar, Ngartelbaye and Nane,
Erkan},
title = {Some properties of non-linear fractional stochastic heat
equations on bounded domains},
journal = {Chaos Solitons Fractals},
fjournal = {Chaos, Solitons \& Fractals},
volume = {102},
year = {2017},
pages = {86--93},
issn = {0960-0779},
mrclass = {60H15 (35K10 35R11 35R60 80A05)},
mrnumber = {3671997},
doi = {10.1016/j.chaos.2017.03.064},
url = {https://doi.org/10.1016/j.chaos.2017.03.064}
}
@Article{ foondun.joseph.ea:18:approximation,
author = {Foondun, Mohammud and Joseph, Mathew and Li, Shiu-Tang},
title = {An approximation result for a class of stochastic heat
equations with colored noise},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {28},
year = {2018},
number = {5},
pages = {2855--2895},
issn = {1050-5164},
mrclass = {60H15 (35K57 35R11 35R60)},
mrnumber = {3847975},
mrreviewer = {Mar\'{i}a J. Garrido-Atienza},
doi = {10.1214/17-AAP1376},
url = {https://doi.org/10.1214/17-AAP1376}
}
@Article{ foondun.joseph.ea:23:small,
author = {Foondun, Mohammud and Joseph, Mathew and Kim, Kunwoo},
title = {Small ball probability estimates for the {H}\"{o}lder
semi-norm of the stochastic heat equation},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {185},
year = {2023},
number = {1-2},
pages = {553--613},
issn = {0178-8051},
mrclass = {60H15 (60G17 60G60)},
mrnumber = {4528976},
doi = {10.1007/s00440-022-01153-w},
url = {https://doi.org/10.1007/s00440-022-01153-w}
}
@Article{ foondun.joseph:14:remarks,
author = {Foondun, Mohammud and Joseph, Mathew},
title = {Remarks on non-linear noise excitability of some
stochastic heat equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {10},
pages = {3429--3440},
issn = {0304-4149},
mrclass = {60H15 (82B44)},
mrnumber = {3231626},
mrreviewer = {Guangying Lv},
doi = {10.1016/j.spa.2014.04.015},
url = {https://doi.org/10.1016/j.spa.2014.04.015}
}
@Article{ foondun.khoshnevisan.ea:11:local-time,
author = {Foondun, Mohammud and Khoshnevisan, Davar and Nualart,
Eulalia},
title = {A local-time correspondence for stochastic partial
differential equations},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {363},
year = {2011},
number = {5},
pages = {2481--2515},
issn = {0002-9947},
mrclass = {60H15 (35R60 60J55)},
mrnumber = {2763724},
mrreviewer = {Robert C. Dalang},
doi = {10.1090/S0002-9947-2010-05017-2},
url = {https://doi.org/10.1090/S0002-9947-2010-05017-2}
}
@Article{ foondun.khoshnevisan.ea:15:analysis,
author = {Foondun, Mohammud and Khoshnevisan, Davar and Mahboubi,
Pejman},
title = {Analysis of the gradient of the solution to a stochastic
heat equation via fractional {B}rownian motion},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {3},
year = {2015},
number = {2},
pages = {133--158},
issn = {2194-0401},
mrclass = {60H15 (35R60 47B80 60G17 60H10)},
mrnumber = {3350450},
mrreviewer = {Jie Xiong},
doi = {10.1007/s40072-015-0045-y},
url = {https://doi.org/10.1007/s40072-015-0045-y}
}
@Article{ foondun.khoshnevisan.ea:24:instantaneous,
author = {Foondun, Mohammud and Khoshnevisan, Davar and Nualart,
Eulalia},
title = {Instantaneous everywhere-blowup of parabolic {SPDE}s},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {190},
year = {2024},
number = {1-2},
pages = {601--624},
issn = {0178-8051},
mrclass = {60H15 (60F05 60H07)},
mrnumber = {4797376},
doi = {10.1007/s00440-024-01263-7},
url = {https://doi.org/10.1007/s00440-024-01263-7}
}
@Article{ foondun.khoshnevisan.ea:24:on,
title = {On the well-posedness of SPDEs with locally Lipschitz
coefficients},
author = {Mohammud Foondun and Davar Khoshnevisan and Eulalia
Nualart},
year = {2024},
month = {November},
journal = {Preprint arXiv:2411.09381},
url = {http://arXiv.org/abs/2411.09381}
}
@Article{ foondun.khoshnevisan.ea:25:on,
title = {On the local well-posedness of randomly forced
reaction-diffusion equations with $L^2$ initial data and a
superlinear reaction term},
author = {Mohammud Foondun and Davar Khoshnevisan and Eulalia
Nualart},
year = {2025},
month = {September},
journal = {Preprint arXiv:2510.00214},
url = {http://arXiv.org/abs/2510.00214}
}
@Article{ foondun.khoshnevisan:09:intermittence,
author = {Foondun, Mohammud and Khoshnevisan, Davar},
title = {Intermittence and nonlinear parabolic stochastic partial
differential equations},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {14},
year = {2009},
pages = {no. 21, 548--568},
mrclass = {60H15 (60H20)},
mrnumber = {2480553},
mrreviewer = {Peter Bernard Weichman},
doi = {10.1214/EJP.v14-614},
url = {https://doi.org/10.1214/EJP.v14-614}
}
@Article{ foondun.khoshnevisan:10:on,
author = {Foondun, Mohammud and Khoshnevisan, Davar},
title = {On the global maximum of the solution to a stochastic heat
equation with compact-support initial data},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {46},
year = {2010},
number = {4},
pages = {895--907},
issn = {0246-0203},
mrclass = {35R60 (35B45 35K05 60H15)},
mrnumber = {2744876},
doi = {10.1214/09-AIHP328},
url = {https://doi.org/10.1214/09-AIHP328}
}
@Article{ foondun.khoshnevisan:12:asymptotic,
author = {Foondun, Mohammud and Khoshnevisan, Davar},
title = {An asymptotic theory for randomly forced discrete
nonlinear heat equations},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {18},
year = {2012},
number = {3},
pages = {1042--1060},
issn = {1350-7265},
mrclass = {60H15 (60H99)},
mrnumber = {2948912},
mrreviewer = {Sergey V. Lototsky},
doi = {10.3150/11-BEJ357},
url = {https://doi.org/10.3150/11-BEJ357}
}
@Article{ foondun.khoshnevisan:13:on,
author = {Foondun, Mohammud and Khoshnevisan, Davar},
title = {On the stochastic heat equation with spatially-colored
random forcing},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {365},
year = {2013},
number = {1},
pages = {409--458},
issn = {0002-9947},
mrclass = {60H15},
mrnumber = {2984063},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1090/S0002-9947-2012-05616-9},
url = {https://doi.org/10.1090/S0002-9947-2012-05616-9}
}
@Article{ foondun.khoshnevisan:14:corrections,
author = {Foondun, Mohammud and Khoshnevisan, Davar},
title = {Corrections and improvements to: ``{O}n the stochastic
heat equation with spatially-colored random forcing''
[MR2984063]},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {366},
year = {2014},
number = {1},
pages = {561--562},
issn = {0002-9947},
mrclass = {60H15},
mrnumber = {3118407},
doi = {10.1090/S0002-9947-2013-06201-0},
url = {https://doi.org/10.1090/S0002-9947-2013-06201-0}
}
@Article{ foondun.liu.ea:17:moment,
author = {Foondun, Mohammud and Liu, Wei and Omaba, McSylvester},
title = {Moment bounds for a class of fractional stochastic heat
equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {4},
pages = {2131--2153},
issn = {0091-1798},
mrclass = {60H15 (82B44)},
mrnumber = {3693959},
mrreviewer = {Yu-Ting Chen},
doi = {10.1214/16-AOP1108},
url = {https://doi.org/10.1214/16-AOP1108}
}
@Article{ foondun.liu.ea:19:some,
author = {Foondun, Mohammud and Liu, Wei and Nane, Erkan},
title = {Some non-existence results for a class of stochastic
partial differential equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {266},
year = {2019},
number = {5},
pages = {2575--2596},
issn = {0022-0396},
mrclass = {35R60 (60H15)},
mrnumber = {3906260},
doi = {10.1016/j.jde.2018.08.039},
url = {https://doi.org/10.1016/j.jde.2018.08.039}
}
@Article{ foondun.mijena.ea:16:non-linear,
author = {Foondun, Mohammud and Mijena, Jebessa B. and Nane, Erkan},
title = {Non-linear noise excitation for some space-time fractional
stochastic equations in bounded domains},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis. An International
Journal for Theory and Applications},
volume = {19},
year = {2016},
number = {6},
pages = {1527--1553},
issn = {1311-0454},
mrclass = {60H15 (26A33 35R11 35R60)},
mrnumber = {3589364},
doi = {10.1515/fca-2016-0079},
url = {https://doi.org/10.1515/fca-2016-0079}
}
@Article{ foondun.nane:17:asymptotic,
author = {Foondun, Mohammud and Nane, Erkan},
title = {Asymptotic properties of some space-time fractional
stochastic equations},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {287},
year = {2017},
number = {1-2},
pages = {493--519},
issn = {0025-5874},
mrclass = {60H15 (60G22)},
mrnumber = {3694685},
mrreviewer = {Zhi Wang},
doi = {10.1007/s00209-016-1834-3},
url = {https://doi.org/10.1007/s00209-016-1834-3}
}
@Article{ foondun.nualart:15:on,
author = {Foondun, Mohammud and Nualart, Eulalia},
title = {On the behaviour of stochastic heat equations on bounded
domains},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {12},
year = {2015},
number = {2},
pages = {551--571},
mrclass = {60H15},
mrnumber = {3382572},
mrreviewer = {Jingyu Huang}
}
@Article{ foondun.nualart:21:osgood,
author = {Foondun, Mohammud and Nualart, Eulalia},
title = {The {O}sgood condition for stochastic partial differential
equations},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {27},
year = {2021},
number = {1},
pages = {295--311},
issn = {1350-7265},
mrclass = {60H15},
mrnumber = {4177371},
mrreviewer = {Leila Setayeshgar},
doi = {10.3150/20-BEJ1240},
url = {https://doi.org/10.3150/20-BEJ1240}
}
@Article{ foondun.nualart:22:non-existence,
author = {Foondun, Mohammud and Nualart, Eulalia},
title = {Non-existence results for stochastic wave equations in one
dimension},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {318},
year = {2022},
pages = {557--578},
issn = {0022-0396},
mrclass = {60H15 (35K57)},
mrnumber = {4387900},
doi = {10.1016/j.jde.2022.02.038},
url = {https://doi.org/10.1016/j.jde.2022.02.038}
}
@Article{ foondun.parshad:15:on,
author = {Foondun, Mohammud and Parshad, Rana D.},
title = {On non-existence of global solutions to a class of
stochastic heat equations},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {143},
year = {2015},
number = {9},
pages = {4085--4094},
issn = {0002-9939},
mrclass = {60H15 (35A01 35B44 35K15 35K91 35R60 82C44)},
mrnumber = {3359596},
mrreviewer = {Carles Rovira},
doi = {10.1090/proc/12036},
url = {https://doi.org/10.1090/proc/12036}
}
@Article{ foondun.setayeshgar:17:large,
author = {Foondun, Mohammud and Setayeshgar, Leila},
title = {Large deviations for a class of semilinear stochastic
partial differential equations},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {121},
year = {2017},
pages = {143--151},
issn = {0167-7152},
mrclass = {60H15 (37L55 60F10)},
mrnumber = {3575422},
mrreviewer = {Kazuo Yamazaki},
doi = {10.1016/j.spl.2016.10.019},
url = {https://doi.org/10.1016/j.spl.2016.10.019}
}
@Book{ foondun:06:harnack,
author = {Foondun, Mohammud},
title = {Harnack inequalities for integro-differential operators},
note = {Thesis (Ph.D.)--University of Connecticut},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2006},
pages = {87},
isbn = {978-0542-87857-2},
mrclass = {Thesis},
mrnumber = {2709363},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3234304}
}
@Article{ foondun:09:harmonic,
author = {Foondun, Mohammud},
title = {Harmonic functions for a class of integro-differential
operators},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {31},
year = {2009},
number = {1},
pages = {21--44},
issn = {0926-2601},
mrclass = {60J75 (35B45 35J15 47G20)},
mrnumber = {2507444},
mrreviewer = {Qing Yang Guan},
doi = {10.1007/s11118-009-9121-0},
url = {https://doi.org/10.1007/s11118-009-9121-0}
}
@Article{ foondun:09:heat,
author = {Foondun, Mohammud},
title = {Heat kernel estimates and {H}arnack inequalities for some
{D}irichlet forms with non-local part},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {14},
year = {2009},
pages = {no. 11, 314--340},
mrclass = {60J35 (60J25 60J75)},
mrnumber = {2480543},
mrreviewer = {Yasushi Ishikawa},
doi = {10.1214/EJP.v14-604},
url = {https://doi.org/10.1214/EJP.v14-604}
}
@Article{ foondun:21:remarks,
author = {Foondun, Mohammud},
title = {Remarks on a fractional-time stochastic equation},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {149},
year = {2021},
number = {5},
pages = {2235--2247},
issn = {0002-9939},
mrclass = {60H15},
mrnumber = {4232213},
doi = {10.1090/proc/14644},
url = {https://doi.org/10.1090/proc/14644}
}
@Book{ ford.fulkerson:15:flows,
title = {Flows in Networks},
author = {Ford, Lester Randolph and Fulkerson, Delbert Ray},
year = {2015},
publisher = {Princeton University Press}
}
@Article{ forlano.tolomeo:24:on,
author = {Forlano, Justin and Tolomeo, Leonardo},
title = {On the unique ergodicity for a class of 2 dimensional
stochastic wave equations},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {377},
year = {2024},
number = {1},
pages = {345--394},
issn = {0002-9947},
mrclass = {35L15 (35R60 37A25 60H15)},
mrnumber = {4684595},
doi = {10.1090/tran/8973},
url = {https://doi.org/10.1090/tran/8973}
}
@Article{ forman:03:bochners,
title = {Bochner's method for cell complexes and combinatorial
Ricci curvature},
author = {Forman, Robin},
journal = {Discrete \& Computational Geometry},
volume = {29},
number = {3},
pages = {323--374},
year = {2003},
publisher = {Springer}
}
@Article{ forrester.honner:99:exact,
author = {Forrester, P. J. and Honner, G.},
title = {Exact statistical properties of the zeros of complex
random polynomials},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {32},
year = {1999},
number = {16},
pages = {2961--2981},
issn = {0305-4470},
mrclass = {82B44 (60F99)},
mrnumber = {1690355},
mrreviewer = {Oleksiy Khorunzhiy},
doi = {10.1088/0305-4470/32/16/006},
url = {https://doi.org/10.1088/0305-4470/32/16/006}
}
@Article{ forrester.rains:05:interpretations,
author = {Forrester, Peter J. and Rains, Eric M.},
title = {Interpretations of some parameter dependent
generalizations of classical matrix ensembles},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {131},
year = {2005},
number = {1},
pages = {1--61},
issn = {0178-8051},
mrclass = {05E05 (05E10 15A52 47B36 47N30 60C05 60K35 62H20)},
mrnumber = {2105043},
mrreviewer = {Uwe Grimm},
doi = {10.1007/s00440-004-0375-6},
url = {https://doi.org/10.1007/s00440-004-0375-6}
}
@Book{ forrester:10:log-gases,
author = {Forrester, P. J.},
title = {Log-gases and random matrices},
series = {London Mathematical Society Monographs Series},
volume = {34},
publisher = {Princeton University Press, Princeton, NJ},
year = {2010},
pages = {xiv+791},
isbn = {978-0-691-12829-0},
mrclass = {82-02 (33C45 60B20 82B05 82B41 82B44)},
mrnumber = {2641363},
mrreviewer = {Steven Joel Miller},
doi = {10.1515/9781400835416},
url = {https://doi.org/10.1515/9781400835416}
}
@InCollection{ forrester:11:beta,
author = {Forrester, Peter J.},
title = {Beta ensembles},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {415--432},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60B20 (82B41)},
mrnumber = {2932640},
mrreviewer = {Nizar Demni}
}
@Article{ forrester:13:probability,
author = {Forrester, Peter J.},
title = {Probability densities and distributions for spiked and
general variance {W}ishart {$\beta$}-ensembles},
journal = {Random Matrices Theory Appl.},
fjournal = {Random Matrices. Theory and Applications},
volume = {2},
year = {2013},
number = {4},
pages = {1350011, 19},
issn = {2010-3263},
mrclass = {60B20 (15B52)},
mrnumber = {3149441},
mrreviewer = {Olivier Marchal},
doi = {10.1142/S2010326313500111},
url = {https://doi.org/10.1142/S2010326313500111}
}
@Article{ forrester:93:spectrum,
author = {Forrester, P. J.},
title = {The spectrum edge of random matrix ensembles},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {402},
year = {1993},
number = {3},
pages = {709--728},
issn = {0550-3213},
mrclass = {82B41 (15A18 15A52 15A90 82B05)},
mrnumber = {1236195},
mrreviewer = {Pawel S. Kurzepa},
doi = {10.1016/0550-3213(93)90126-A},
url = {https://doi.org/10.1016/0550-3213(93)90126-A}
}
@Article{ forster.nelson.ea:77:large-distance,
author = {Forster, D. and Nelson, David R. and Stephen, Michael J.},
title = {Large-distance and long-time properties of a randomly
stirred fluid},
journal = {Phys. Rev. A (3)},
fjournal = {Physical Review. A. Third Series},
volume = {16},
year = {1977},
number = {2},
pages = {732--749},
issn = {1050-2947},
mrclass = {76.60},
mrnumber = {459274},
mrreviewer = {J. W. Thomas},
doi = {10.1103/PhysRevA.16.732},
url = {https://doi.org/10.1103/PhysRevA.16.732}
}
@InCollection{ forstner:67:wirtschaftliches,
author = {F\"{o}rstner, Karl},
title = {Wirtschaftliches {W}achstum bei vollst\"{a}ndiger
{K}onkurrenz und linearer {T}echnologie},
booktitle = {Operations {R}esearch-{V}erfahren, {IV}},
pages = {xi, 1--258},
publisher = {Hain, Meisenheim},
year = {1967},
mrclass = {90A15},
mrnumber = {334878},
mrreviewer = {G. Tintner}
}
@Article{ fortuin.kasteleyn.ea:71:correlation,
author = {Fortuin, C. M. and Kasteleyn, P. W. and Ginibre, J.},
title = {Correlation inequalities on some partially ordered sets},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {22},
year = {1971},
pages = {89--103},
issn = {0010-3616},
mrclass = {82.62},
mrnumber = {309498},
mrreviewer = {C. A. Hurst},
url = {http://projecteuclid.org/euclid.cmp/1103857443}
}
@Article{ foulis:60:baer,
author = {Foulis, David J.},
title = {Baer {$^{\ast} $}-semigroups},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {11},
year = {1960},
pages = {648--654},
issn = {0002-9939},
mrclass = {06.40},
mrnumber = {125808},
mrreviewer = {G. B. Preston},
doi = {10.2307/2034727},
url = {https://doi.org/10.2307/2034727}
}
@Article{ fox:61:g,
author = {Fox, Charles},
title = {The {$G$} and {$H$} functions as symmetrical {F}ourier
kernels},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {98},
year = {1961},
pages = {395--429},
issn = {0002-9947},
mrclass = {33.21},
mrnumber = {131578},
mrreviewer = {K. Chandrasekharan},
doi = {10.2307/1993339},
url = {https://doi.org/10.2307/1993339}
}
@Article{ fox:89:stochastic,
author = {Fox, Ronald F.},
title = {Stochastic resonance in a double well},
journal = {Phys. Rev. A (3)},
fjournal = {Physical Review. A. Third Series},
volume = {39},
year = {1989},
number = {8},
pages = {4148--4153},
issn = {1050-2947},
mrclass = {81K05 (82A31)},
mrnumber = {996601},
doi = {10.1103/PhysRevA.39.4148},
url = {https://doi.org/10.1103/PhysRevA.39.4148}
}
@Article{ frachebourg.martin:00:exact,
author = {Frachebourg, L. and Martin, Ph. A.},
title = {Exact statistical properties of the {B}urgers equation},
journal = {J. Fluid Mech.},
fjournal = {Journal of Fluid Mechanics},
volume = {417},
year = {2000},
pages = {323--349},
issn = {0022-1120},
mrclass = {76F55 (33C90)},
mrnumber = {1781884},
mrreviewer = {Giambattista Giacomin},
doi = {10.1017/S0022112000001142},
url = {https://doi.org/10.1017/S0022112000001142}
}
@InCollection{ frangos.nualart.ea:92:on,
author = {Frangos, Nikos and Nualart, David and Sanz-Sol\'{e},
Marta},
title = {On the {I}t\^{o} formula for two-parameter martingales},
booktitle = {Stochastic partial differential equations and their
applications ({C}harlotte, {NC}, 1991)},
series = {Lect. Notes Control Inf. Sci.},
volume = {176},
pages = {92--100},
publisher = {Springer, Berlin},
year = {1992},
mrclass = {60H05 (60G44)},
mrnumber = {1176775},
mrreviewer = {Peter Imkeller},
doi = {10.1007/BFb0007324},
url = {https://doi.org/10.1007/BFb0007324}
}
@Article{ frazier:18:tutorial,
title = {A tutorial on {B}ayesian optimization},
author = {Frazier, Peter I},
journal = {arXiv preprint arXiv:1807.02811},
year = {2018}
}
@Book{ freidlin.wentzell:12:random,
author = {Freidlin, Mark I. and Wentzell, Alexander D.},
title = {Random perturbations of dynamical systems},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {260},
edition = {Third},
note = {Translated from the 1979 Russian original by Joseph
Sz\"{u}cs},
publisher = {Springer, Heidelberg},
year = {2012},
pages = {xxviii+458},
isbn = {978-3-642-25846-6},
mrclass = {60H25 (34C29 34F05 60F10)},
mrnumber = {2953753},
doi = {10.1007/978-3-642-25847-3},
url = {https://doi.org/10.1007/978-3-642-25847-3}
}
@Book{ freidlin.wentzell:84:random,
author = {Freidlin, M. I. and Wentzell, A. D.},
title = {Random perturbations of dynamical systems},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {260},
note = {Translated from the Russian by Joseph Sz\"{u}cs},
publisher = {Springer-Verlag, New York},
year = {1984},
pages = {viii+326},
isbn = {0-387-90858-7},
mrclass = {60H10 (60J60 70L05)},
mrnumber = {722136},
doi = {10.1007/978-1-4684-0176-9},
url = {https://doi.org/10.1007/978-1-4684-0176-9}
}
@Article{ freidlin:04:some,
author = {Freidlin, Mark},
title = {Some remarks on the {S}moluchowski-{K}ramers
approximation},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {117},
year = {2004},
number = {3-4},
pages = {617--634},
issn = {0022-4715},
mrclass = {82C31 (60H10)},
mrnumber = {2099730},
mrreviewer = {Alexander N. Pechen{\cprime}},
doi = {10.1007/s10955-004-2273-9},
url = {https://doi.org/10.1007/s10955-004-2273-9}
}
@InCollection{ freidlin:84:on,
author = {Freidlin, Mark I.},
title = {On wavefront propagation in periodic media},
booktitle = {Stochastic analysis and applications},
series = {Adv. Probab. Related Topics},
volume = {7},
pages = {147--166},
publisher = {Dekker, New York},
year = {1984},
mrclass = {35K55},
mrnumber = {776979},
mrreviewer = {Z. Schuss}
}
@Article{ freidlin:88:random,
author = {Freidlin, Mark I.},
title = {Random perturbations of reaction-diffusion equations: the
quasideterministic approximation},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {305},
year = {1988},
number = {2},
pages = {665--697},
issn = {0002-9947},
mrclass = {35K57 (35R60 60H15 60J60)},
mrnumber = {924775},
mrreviewer = {Ross Pinsky},
doi = {10.2307/2000884},
url = {https://doi.org/10.2307/2000884}
}
@Article{ freitag:18:global,
author = {Freitag, Marcel},
title = {Global existence and boundedness in a chemorepulsion
system with superlinear diffusion},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {38},
year = {2018},
number = {11},
pages = {5943--5961},
issn = {1078-0947},
mrclass = {35K51 (35D30 92C17)},
mrnumber = {3917794},
doi = {10.3934/dcds.2018258},
url = {https://doi.org/10.3934/dcds.2018258}
}
@Article{ friedland.rider.ea:04:concentration,
author = {Friedland, Shmuel and Rider, Brian and Zeitouni, Ofer},
title = {Concentration of permanent estimators for certain large
matrices},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {14},
year = {2004},
number = {3},
pages = {1559--1576},
issn = {1050-5164},
mrclass = {15A52 (15A48 60F05)},
mrnumber = {2071434},
mrreviewer = {Peter M. Gibson},
doi = {10.1214/105051604000000396},
url = {https://doi.org/10.1214/105051604000000396}
}
@Article{ friedman.giga:87:single,
author = {Friedman, Avner and Giga, Yoshikazu},
title = {A single point blow-up for solutions of semilinear
parabolic systems},
journal = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.},
fjournal = {Journal of the Faculty of Science. University of Tokyo.
Section IA. Mathematics},
volume = {34},
year = {1987},
number = {1},
pages = {65--79},
issn = {0040-8980},
mrclass = {35K55 (35B40)},
mrnumber = {882125}
}
@Article{ friedman.mcleod:85:blow-up,
author = {Friedman, Avner and McLeod, Bryce},
title = {Blow-up of positive solutions of semilinear heat
equations},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {34},
year = {1985},
number = {2},
pages = {425--447},
issn = {0022-2518},
mrclass = {35K55 (35B40)},
mrnumber = {783924},
mrreviewer = {J. W. Bebernes},
doi = {10.1512/iumj.1985.34.34025},
url = {https://doi.org/10.1512/iumj.1985.34.34025}
}
@Article{ friedman.mcleod:86:blow-up,
author = {Friedman, Avner and McLeod, Bryce},
title = {Blow-up of solutions of nonlinear degenerate parabolic
equations},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {96},
year = {1986},
number = {1},
pages = {55--80},
issn = {0003-9527},
mrclass = {35B40 (35K65)},
mrnumber = {853975},
mrreviewer = {R. E. Showalter},
doi = {10.1007/BF00251413},
url = {https://doi.org/10.1007/BF00251413}
}
@Article{ friedman.oswald:88:blow-up,
author = {Friedman, Avner and Oswald, Luc},
title = {The blow-up surface for nonlinear wave equations with
small spatial velocity},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {308},
year = {1988},
number = {1},
pages = {349--367},
issn = {0002-9947},
mrclass = {35L70 (35B40)},
mrnumber = {946448},
mrreviewer = {Pavel Krej\v{c}\'{i}},
doi = {10.2307/2000968},
url = {https://doi.org/10.2307/2000968}
}
@Article{ friedman.souganidis:86:blow-up,
author = {Friedman, Avner and Souganidis, Panagiotis E.},
title = {Blow-up of solutions of {H}amilton-{J}acobi equations},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {11},
year = {1986},
number = {4},
pages = {397--443},
issn = {0360-5302},
mrclass = {35F25},
mrnumber = {829323},
mrreviewer = {P.-L. Lions},
doi = {10.1080/03605308608820429},
url = {https://doi.org/10.1080/03605308608820429}
}
@Article{ friedman.tello:02:stability,
author = {Friedman, Avner and Tello, J. Ignacio},
title = {Stability of solutions of chemotaxis equations in
reinforced random walks},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {272},
year = {2002},
number = {1},
pages = {138--163},
issn = {0022-247X},
mrclass = {92C17 (35K50 35K57 60G50)},
mrnumber = {1930708},
mrreviewer = {Menachem Dishon},
doi = {10.1016/S0022-247X(02)00147-6},
url = {https://doi.org/10.1016/S0022-247X(02)00147-6}
}
@InCollection{ friedman:10:stochastic,
author = {Friedman, Avner},
title = {Stochastic differential equations and applications},
booktitle = {Stochastic differential equations},
series = {C.I.M.E. Summer Sch.},
volume = {77},
pages = {75--148},
publisher = {Springer, Heidelberg},
year = {2010},
mrclass = {60H10},
mrnumber = {2830391},
doi = {10.1007/978-3-642-11079-5\_2},
url = {https://doi.org/10.1007/978-3-642-11079-5_2}
}
@Article{ friedman:58:remarks,
author = {Friedman, Avner},
title = {Remarks on the maximum principle for parabolic equations
and its applications},
journal = {Pacific J. Math.},
fjournal = {Pacific Journal of Mathematics},
volume = {8},
year = {1958},
pages = {201--211},
issn = {0030-8730},
mrclass = {35.00},
mrnumber = {102655},
mrreviewer = {D. G. Aronson},
url = {http://projecteuclid.org/euclid.pjm/1103040096}
}
@Book{ friedman:63:generalized,
author = {Friedman, Avner},
title = {Generalized functions and partial differential equations},
publisher = {Prentice-Hall, Inc., Englewood Cliffs, NJ},
year = {1963},
pages = {xii+340},
mrclass = {46.40 (35.00)},
mrnumber = {165388},
mrreviewer = {G. E. Shilov}
}
@Book{ friedman:64:partial,
author = {Friedman, Avner},
title = {Partial differential equations of parabolic type},
publisher = {Prentice-Hall, Inc., Englewood Cliffs, N.J.},
year = {1964},
pages = {xiv+347},
mrclass = {35.00 (35.62)},
mrnumber = {0181836},
mrreviewer = {B. Frank Jones, Jr.}
}
@InProceedings{ friedman:65:remarks,
author = {Friedman, Avner},
title = {Remarks on nonlinear parabolic equations},
booktitle = {Proc. {S}ympos. {A}ppl. {M}ath., {V}ol. {XVII}},
pages = {3--23},
publisher = {Amer. Math. Soc., Providence, R.I.},
year = {1965},
mrclass = {35.63},
mrnumber = {0186938},
mrreviewer = {M. Lees}
}
@Book{ friedman:69:partial,
author = {Friedman, Avner},
title = {Partial differential equations},
publisher = {Holt, Rinehart and Winston, Inc., New York-Montreal,
Que.-London},
year = {1969},
pages = {vi+262},
mrclass = {35-01 (35-02)},
mrnumber = {0445088},
mrreviewer = {V. Komkov}
}
@Book{ friedman:75:stochastic,
author = {Friedman, Avner},
title = {Stochastic differential equations and applications. {V}ol.
1},
series = {Probability and Mathematical Statistics, Vol. 28},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
New York-London},
year = {1975},
pages = {xiii+231},
mrclass = {60H10 (60J60)},
mrnumber = {0494490},
mrreviewer = {D. Kannan}
}
@Book{ friedman:90:principles,
author = {Friedman, Bernard},
title = {Principles and techniques of applied mathematics},
note = {Reprint of the 1956 original},
publisher = {Dover Publications, Inc., New York},
year = {1990},
pages = {x+315},
isbn = {0-486-66444-9},
mrclass = {00A05 (01A75)},
mrnumber = {1088252}
}
@Article{ friedrich.kalkkinen:04:on,
author = {Friedrich, R. and Kalkkinen, J.},
title = {On conformal field theory and stochastic {L}oewner
evolution},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {687},
year = {2004},
number = {3},
pages = {279--302},
issn = {0550-3213},
mrclass = {81T40 (58J52 58J65 82C24)},
mrnumber = {2059141},
mrreviewer = {Robert Otto Bauer},
doi = {10.1016/j.nuclphysb.2004.03.025},
url = {https://doi.org/10.1016/j.nuclphysb.2004.03.025}
}
@Book{ frisch:95:turbulence,
author = {Frisch, Uriel},
title = {Turbulence},
note = {The legacy of A. N. Kolmogorov},
publisher = {Cambridge University Press, Cambridge},
year = {1995},
pages = {xiv+296},
isbn = {0-521-45103-5},
mrclass = {76-02 (35Q30 76D05 76Fxx 76M35)},
mrnumber = {1428905},
mrreviewer = {Philip J. Holmes}
}
@Article{ fristedt.pruitt:71:lower,
author = {Fristedt, Bert E. and Pruitt, William E.},
title = {Lower functions for increasing random walks and
subordinators},
journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {18},
year = {1971},
pages = {167--182},
mrclass = {60J15},
mrnumber = {292163},
mrreviewer = {J. Hawkes},
doi = {10.1007/BF00563135},
url = {https://doi.org/10.1007/BF00563135}
}
@Article{ fritsch:20:online,
title = {Online Graph Exploration on Trees, Unicyclic Graphs and
Cactus Graphs},
author = {Robin Fritsch},
journal = {CoRR},
year = {2020},
volume = {abs/2004.06690}
}
@Article{ fritz.rudiger:95:time,
author = {Fritz, J. and R\"{u}diger, B.},
title = {Time dependent critical fluctuations of a one-dimensional
local mean field model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {103},
year = {1995},
number = {3},
pages = {381--407},
issn = {0178-8051},
mrclass = {60K35 (82C05 82C22)},
mrnumber = {1358083},
mrreviewer = {Ellen Saada},
doi = {10.1007/BF01195480},
url = {https://doi.org/10.1007/BF01195480}
}
@Article{ friz.gassiat.ea:17:eikonal,
author = {Friz, Peter K. and Gassiat, Paul and Lions, Pierre-Louis
and Souganidis, Panagiotis E.},
title = {Eikonal equations and pathwise solutions to fully
non-linear {SPDE}s},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {5},
year = {2017},
number = {2},
pages = {256--277},
issn = {2194-0401,2194-041X},
mrclass = {35R60 (35G20 60H15)},
mrnumber = {3640072},
mrreviewer = {Le\ Chen},
doi = {10.1007/s40072-016-0087-9},
url = {https://doi.org/10.1007/s40072-016-0087-9}
}
@Book{ friz.hairer:14:course,
author = {Friz, Peter K. and Hairer, Martin},
title = {A course on rough paths},
series = {Universitext},
note = {With an introduction to regularity structures},
publisher = {Springer, Cham},
year = {2014},
pages = {xiv+251},
isbn = {978-3-319-08331-5; 978-3-319-08332-2},
mrclass = {60-02 (34F05 35R60 60H07 60H10 60H15)},
mrnumber = {3289027},
mrreviewer = {Fabrice Baudoin},
doi = {10.1007/978-3-319-08332-2},
url = {https://doi.org/10.1007/978-3-319-08332-2}
}
@Book{ friz.hairer:20:course,
author = {Friz, Peter K. and Hairer, Martin},
title = {A course on rough paths},
series = {Universitext},
note = {With an introduction to regularity structures, Second
edition of [ 3289027]},
publisher = {Springer, Cham},
year = {[2020] \copyright 2020},
pages = {xvi+346},
isbn = {978-3-030-41556-3; 978-3-030-41555-6},
mrclass = {60Lxx (34F05 35R60 60Hxx 93E03)},
mrnumber = {4174393},
doi = {10.1007/978-3-030-41556-3},
url = {https://doi.org/10.1007/978-3-030-41556-3}
}
@Article{ friz.victoir:06:note,
author = {Friz, Peter and Victoir, Nicolas},
title = {A note on the notion of geometric rough paths},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {136},
year = {2006},
number = {3},
pages = {395--416},
issn = {0178-8051},
mrclass = {60G17 (46E35)},
mrnumber = {2257130},
mrreviewer = {Mikhail A. Lifshits},
doi = {10.1007/s00440-005-0487-7},
url = {https://doi.org/10.1007/s00440-005-0487-7}
}
@Article{ friz.victoir:10:differential,
author = {Friz, Peter and Victoir, Nicolas},
title = {Differential equations driven by {G}aussian signals},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {46},
year = {2010},
number = {2},
pages = {369--413},
issn = {0246-0203},
mrclass = {60G15 (60H99)},
mrnumber = {2667703},
mrreviewer = {Somanath Bagh},
doi = {10.1214/09-AIHP202},
url = {https://doi.org/10.1214/09-AIHP202}
}
@Book{ friz.victoir:10:multidimensional,
author = {Friz, Peter K. and Victoir, Nicolas B.},
title = {Multidimensional stochastic processes as rough paths},
series = {Cambridge Studies in Advanced Mathematics},
volume = {120},
note = {Theory and applications},
publisher = {Cambridge University Press, Cambridge},
year = {2010},
pages = {xiv+656},
isbn = {978-0-521-87607-0},
mrclass = {60-02 (34F05 46N30 60F10 60G17 60H07 60H10 60H30)},
mrnumber = {2604669},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1017/CBO9780511845079},
url = {https://doi.org/10.1017/CBO9780511845079}
}
@Article{ frohlich.knowles.ea:17:gibbs,
author = {Fr\"{o}hlich, J\"{u}rg and Knowles, Antti and Schlein,
Benjamin and Sohinger, Vedran},
title = {Gibbs measures of nonlinear {S}chr\"{o}dinger equations as
limits of many-body quantum states in dimensions {$d
\leqslant 3$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {356},
year = {2017},
number = {3},
pages = {883--980},
issn = {0010-3616},
mrclass = {81P16 (35Q55)},
mrnumber = {3719544},
mrreviewer = {Anatoliy Prykarpatsky},
doi = {10.1007/s00220-017-2994-7},
url = {https://doi.org/10.1007/s00220-017-2994-7}
}
@Article{ frohlich.knowles.ea:22:mean-field,
author = {Fr\"{o}hlich, J\"{u}rg and Knowles, Antti and Schlein,
Benjamin and Sohinger, Vedran},
title = {The mean-field limit of quantum {B}ose gases at positive
temperature},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {35},
year = {2022},
number = {4},
pages = {955--1030},
issn = {0894-0347},
mrclass = {35Q55 (35Q40 60G60 81V70 82B10)},
mrnumber = {4467306},
doi = {10.1090/jams/987},
url = {https://doi.org/10.1090/jams/987}
}
@Article{ frohlich.simon.ea:76:infrared,
author = {Fr\"{o}hlich, J. and Simon, B. and Spencer, Thomas},
title = {Infrared bounds, phase transitions and continuous symmetry
breaking},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {50},
year = {1976},
number = {1},
pages = {79--95},
issn = {0010-3616},
mrclass = {82.47},
mrnumber = {421531},
mrreviewer = {O. Penrose},
url = {http://projecteuclid.org/euclid.cmp/1103900151}
}
@Article{ frohlich.spencer:83:absence,
author = {Fr\"{o}hlich, J\"{u}rg and Spencer, Thomas},
title = {Absence of diffusion in the {A}nderson tight binding model
for large disorder or low energy},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {88},
year = {1983},
number = {2},
pages = {151--184},
issn = {0010-3616},
mrclass = {82A05 (60H25 82A57)},
mrnumber = {696803},
mrreviewer = {W. Kirsch},
url = {http://projecteuclid.org/euclid.cmp/1103922279}
}
@Article{ frohlich.weis:06:hinfty,
author = {Fr\"{o}hlich, Andreas M. and Weis, Lutz},
title = {{$H^infty$} calculus and dilations},
journal = {Bull. Soc. Math. France},
fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de France},
volume = {134},
year = {2006},
number = {4},
pages = {487--508},
issn = {0037-9484},
mrclass = {47D60 (47A20 47A60)},
mrnumber = {2364942},
mrreviewer = {Marek Ptak},
doi = {10.24033/bsmf.2520},
url = {https://doi.org/10.24033/bsmf.2520}
}
@Article{ frohlich:82:on,
author = {Fr\"{o}hlich, J\"{u}rg},
title = {On the triviality of {$\lambda \varphi ^{4}_{d}$} theories
and the approach to the critical point in {$d{>atop
(---)}4$} dimensions},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {200},
year = {1982},
number = {2},
pages = {281--296},
issn = {0550-3213},
mrclass = {81E10 (58E99 81E25 82A25)},
mrnumber = {643591},
mrreviewer = {J. Fernando Perez},
doi = {10.1016/0550-3213(82)90088-8},
url = {https://doi.org/10.1016/0550-3213(82)90088-8}
}
@Article{ fromm.jerison:94:third,
author = {Fromm, Stephen J. and Jerison, David},
title = {Third derivative estimates for {D}irichlet's problem in
convex domains},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {73},
year = {1994},
number = {2},
pages = {257--268},
issn = {0012-7094},
mrclass = {35J35 (31B35)},
mrnumber = {1262207},
mrreviewer = {P. Lindqvist},
doi = {10.1215/S0012-7094-94-07312-2},
url = {https://doi.org/10.1215/S0012-7094-94-07312-2}
}
@Article{ fromm:93:potential,
author = {Fromm, Stephen J.},
title = {Potential space estimates for {G}reen potentials in convex
domains},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {119},
year = {1993},
number = {1},
pages = {225--233},
issn = {0002-9939},
mrclass = {35J25 (35B65)},
mrnumber = {1156467},
mrreviewer = {Yehuda Pinchover},
doi = {10.2307/2159846},
url = {https://doi.org/10.2307/2159846}
}
@Article{ fromm:94:regularity,
author = {Fromm, Stephen J.},
title = {Regularity of the {D}irichlet problem in convex domains in
the plane},
journal = {Michigan Math. J.},
fjournal = {Michigan Mathematical Journal},
volume = {41},
year = {1994},
number = {3},
pages = {491--507},
issn = {0026-2285},
mrclass = {35J05 (35B65)},
mrnumber = {1297704},
mrreviewer = {Bruno Franchi},
doi = {10.1307/mmj/1029005075},
url = {https://doi.org/10.1307/mmj/1029005075}
}
@Article{ fuchs.stelzer:13:mixing,
author = {Fuchs, Florian and Stelzer, Robert},
title = {Mixing conditions for multivariate infinitely divisible
processes with an application to mixed moving averages and
the sup{OU} stochastic volatility model},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {17},
year = {2013},
pages = {455--471},
issn = {1292-8100},
mrclass = {60G10 (60E07 60J75 62M10 91B70)},
mrnumber = {3070886},
doi = {10.1051/ps/2011158},
url = {https://doi.org/10.1051/ps/2011158}
}
@Book{ fudenberg.drew.ea:98:theory,
title = {The theory of learning in games},
author = {Fudenberg, Drew and Drew, Fudenberg and Levine, David K
and Levine, David K},
volume = {2},
year = {1998},
publisher = {MIT Press}
}
@Article{ fuest:20:blow-up,
author = {Fuest, Mario},
title = {Blow-up profiles in quasilinear fully parabolic
{K}eller-{S}egel systems},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {33},
year = {2020},
number = {5},
pages = {2306--2334},
issn = {0951-7715},
mrclass = {35K40 (35B44 35K59)},
mrnumber = {4105360},
mrreviewer = {Paulo R. Zingano},
doi = {10.1088/1361-6544/ab7294},
url = {https://doi.org/10.1088/1361-6544/ab7294}
}
@Article{ fuest:20:finite-time,
author = {Fuest, Mario},
title = {Finite-time blow-up in a two-dimensional {K}eller-{S}egel
system with an environmental dependent logistic source},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {52},
year = {2020},
pages = {103022, 14},
issn = {1468-1218},
mrclass = {92C17 (35B44 35K51 35M33)},
mrnumber = {4000159},
doi = {10.1016/j.nonrwa.2019.103022},
url = {https://doi.org/10.1016/j.nonrwa.2019.103022}
}
@Article{ fuest:21:approaching,
author = {Fuest, Mario},
title = {Approaching optimality in blow-up results for
{K}eller-{S}egel systems with logistic-type dampening},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {28},
year = {2021},
number = {2},
pages = {Paper No. 16, 17},
issn = {1021-9722,1420-9004},
mrclass = {35Q92 (35K57 92C17)},
mrnumber = {4223515},
mrreviewer = {Mihaela\ Negreanu},
doi = {10.1007/s00030-021-00677-9},
url = {https://doi.org/10.1007/s00030-021-00677-9}
}
@Article{ fujie.ito.ea:16:stabilization,
author = {Fujie, Kentarou and Ito, Akio and Winkler, Michael and
Yokota, Tomomi},
title = {Stabilization in a chemotaxis model for tumor invasion},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {36},
year = {2016},
number = {1},
pages = {151--169},
issn = {1078-0947},
mrclass = {92C17 (35B35 35B40 35M33 35Q92)},
mrnumber = {3369217},
mrreviewer = {Greg Lemon},
doi = {10.3934/dcds.2016.36.151},
url = {https://doi.org/10.3934/dcds.2016.36.151}
}
@Article{ fujie.senba:16:global,
author = {Fujie, Kentarou and Senba, Takasi},
title = {Global existence and boundedness in a parabolic-elliptic
{K}eller-{S}egel system with general sensitivity},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {21},
year = {2016},
number = {1},
pages = {81--102},
issn = {1531-3492},
mrclass = {35M33 (35A01 35B44 35B45 92C17)},
mrnumber = {3426833},
doi = {10.3934/dcdsb.2016.21.81},
url = {https://doi.org/10.3934/dcdsb.2016.21.81}
}
@Article{ fujie.winkler.ea:14:blow-up,
author = {Fujie, Kentarou and Winkler, Michael and Yokota, Tomomi},
title = {Blow-up prevention by logistic sources in a
parabolic-elliptic {K}eller-{S}egel system with singular
sensitivity},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {109},
year = {2014},
pages = {56--71},
issn = {0362-546X},
mrclass = {35M33 (35B35 35B44 35B45 35K59)},
mrnumber = {3247293},
doi = {10.1016/j.na.2014.06.017},
url = {https://doi.org/10.1016/j.na.2014.06.017}
}
@Article{ fujie.winkler.ea:15:boundedness,
author = {Fujie, Kentarou and Winkler, Michael and Yokota, Tomomi},
title = {Boundedness of solutions to parabolic-elliptic
{K}eller-{S}egel systems with signal-dependent
sensitivity},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {38},
year = {2015},
number = {6},
pages = {1212--1224},
issn = {0170-4214},
mrclass = {35M33 (35B45 35K59)},
mrnumber = {3338145},
doi = {10.1002/mma.3149},
url = {https://doi.org/10.1002/mma.3149}
}
@Article{ fujie.yokota:14:boundedness,
author = {Fujie, Kentarou and Yokota, Tomomi},
title = {Boundedness in a fully parabolic chemotaxis system with
strongly singular sensitivity},
journal = {Appl. Math. Lett.},
fjournal = {Applied Mathematics Letters. An International Journal of
Rapid Publication},
volume = {38},
year = {2014},
pages = {140--143},
issn = {0893-9659},
mrclass = {92C17 (35A01 35A09 35K51)},
mrnumber = {3258217},
doi = {10.1016/j.aml.2014.07.021},
url = {https://doi.org/10.1016/j.aml.2014.07.021}
}
@Article{ fujie:15:boundedness,
author = {Fujie, Kentarou},
title = {Boundedness in a fully parabolic chemotaxis system with
singular sensitivity},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {424},
year = {2015},
number = {1},
pages = {675--684},
issn = {0022-247X},
mrclass = {35K51 (35B45 35K59 92C17)},
mrnumber = {3286587},
doi = {10.1016/j.jmaa.2014.11.045},
url = {https://doi.org/10.1016/j.jmaa.2014.11.045}
}
@Article{ fujita.kato:64:on,
author = {Fujita, Hiroshi and Kato, Tosio},
title = {On the {N}avier-{S}tokes initial value problem. {I}},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {16},
year = {1964},
pages = {269--315},
issn = {0003-9527},
mrclass = {35.79},
mrnumber = {166499},
mrreviewer = {P. C. Fife},
doi = {10.1007/BF00276188},
url = {https://doi.org/10.1007/BF00276188}
}
@Article{ fujita:66:on,
author = {Fujita, Hiroshi},
title = {On the blowing up of solutions of the {C}auchy problem for
{$u_{t}=\Delta u+u^{1+\alpha }$}},
journal = {J. Fac. Sci. Univ. Tokyo Sect. I},
fjournal = {Journal of the Faculty of Science. University of Tokyo.
Section I},
volume = {13},
year = {1966},
pages = {109--124 (1966)},
issn = {0368-2269},
mrclass = {35.37},
mrnumber = {214914},
mrreviewer = {K. Rektorys}
}
@Article{ fujita:69:on,
author = {Fujita, Hiroshi},
title = {On the nonlinear equations {$\Delta u+e^{u}=0$} and
{$\partial v/\partial t=\Delta v+e ^{v}$}},
journal = {Bull. Amer. Math. Soc.},
fjournal = {Bulletin of the American Mathematical Society},
volume = {75},
year = {1969},
pages = {132--135},
issn = {0002-9904},
mrclass = {35.36},
mrnumber = {239258},
mrreviewer = {P. Cooperman},
doi = {10.1090/S0002-9904-1969-12175-0},
url = {https://doi.org/10.1090/S0002-9904-1969-12175-0}
}
@Article{ fujita:90:integrodifferential,
author = {Fujita, Yasuhiro},
title = {Integrodifferential equation which interpolates the heat
equation and the wave equation. {II}},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {27},
year = {1990},
number = {4},
pages = {797--804},
issn = {0030-6126},
mrclass = {45K05},
mrnumber = {1088183},
mrreviewer = {Hana Petzeltov\'{a}},
url = {http://projecteuclid.org/euclid.ojm/1200782677}
}
@Article{ fujita:90:integrodifferential*1,
author = {Fujita, Yasuhiro},
title = {Integrodifferential equation which interpolates the heat
equation and the wave equation},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {27},
year = {1990},
number = {2},
pages = {309--321},
issn = {0030-6126},
mrclass = {45K05},
mrnumber = {1066629},
mrreviewer = {O. Diekmann},
url = {http://projecteuclid.org/euclid.ojm/1200782311}
}
@Article{ fujiwara.morimoto:77:lr-theorem,
author = {Fujiwara, Daisuke and Morimoto, Hiroko},
title = {An {$L_{r}$}-theorem of the {H}elmholtz decomposition of
vector fields},
journal = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.},
fjournal = {Journal of the Faculty of Science. University of Tokyo.
Section IA. Mathematics},
volume = {24},
year = {1977},
number = {3},
pages = {685--700},
issn = {0040-8980},
mrclass = {35Q99},
mrnumber = {492980},
mrreviewer = {Marjorie McCracken}
}
@Article{ fukai.takeuchi:17:kardar-parisi-zhang,
title = {Kardar-Parisi-Zhang Interfaces with Inward Growth},
author = {Fukai, Yohsuke T. and Takeuchi, Kazumasa A.},
journal = {Phys. Rev. Lett.},
volume = {119},
issue = {3},
pages = {030602},
numpages = {5},
year = {2017},
month = {Jul},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.119.030602},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.119.030602}
}
@Article{ fukai.takeuchi:20:kardar-parisi-zhang,
title = {Kardar-Parisi-Zhang Interfaces with Curved Initial Shapes
and Variational Formula},
author = {Fukai, Yohsuke T. and Takeuchi, Kazumasa A.},
journal = {Phys. Rev. Lett.},
volume = {124},
issue = {6},
pages = {060601},
numpages = {6},
year = {2020},
month = {Feb},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.124.060601},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.124.060601}
}
@Article{ fukai.takeuchi:20:kardar-parisi-zhang*1,
author = {Fukai, Yohsuke T. and Takeuchi, Kazumasa A.},
title = {Kardar-{P}arisi-{Z}hang interfaces with curved initial
shapes and variational formula},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {124},
year = {2020},
number = {6},
pages = {060601, 6},
issn = {0031-9007},
mrclass = {82C24},
mrnumber = {4070683},
doi = {10.1103/PhysRevLett.124.060601},
url = {https://doi.org/10.1103/PhysRevLett.124.060601}
}
@Article{ fukushima.nakao:76:on,
author = {Fukushima, Masatoshi and Nakao, Shintaro},
title = {On spectra of the {S}chr\"{o}dinger operator with a white
{G}aussian noise potential},
journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {37},
year = {1976/77},
number = {3},
pages = {267--274},
mrclass = {60H10 (60K35)},
mrnumber = {438481},
mrreviewer = {Richard S. Ellis},
doi = {10.1007/BF00537493},
url = {https://doi.org/10.1007/BF00537493}
}
@Book{ fukushima.oshima.ea:94:dirichlet,
author = {Fukushima, Masatoshi and \={O}shima, Y{o}ichi and Takeda,
Masayoshi},
title = {Dirichlet forms and symmetric {M}arkov processes},
series = {De Gruyter Studies in Mathematics},
volume = {19},
publisher = {Walter de Gruyter \& Co., Berlin},
year = {1994},
pages = {x+392},
isbn = {3-11-011626-X},
mrclass = {60J25 (31C25 60J40 60J45 60J55)},
mrnumber = {1303354},
mrreviewer = {Yves Le Jan},
doi = {10.1515/9783110889741},
url = {https://doi.org/10.1515/9783110889741}
}
@Book{ fulton:97:young,
author = {Fulton, William},
title = {Young tableaux},
series = {London Mathematical Society Student Texts},
volume = {35},
note = {With applications to representation theory and geometry},
publisher = {Cambridge University Press, Cambridge},
year = {1997},
pages = {x+260},
isbn = {0-521-56144-2; 0-521-56724-6},
mrclass = {05E10 (05E05 05E15 14M15 20G05)},
mrnumber = {1464693},
mrreviewer = {Tadeusz J\'{o}zefiak}
}
@Article{ funaki.olla:01:fluctuations,
author = {Funaki, Tadahisa and Olla, Stefano},
title = {Fluctuations for {$\nabla\phi$} interface model on a wall},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {94},
year = {2001},
number = {1},
pages = {1--27},
issn = {0304-4149},
mrclass = {60K35 (60H15 82B24 82B41)},
mrnumber = {1835843},
mrreviewer = {Giambattista Giacomin},
doi = {10.1016/S0304-4149(00)00104-6},
url = {https://doi.org/10.1016/S0304-4149(00)00104-6}
}
@Article{ funaki.quastel:15:kpz,
author = {Funaki, Tadahisa and Quastel, Jeremy},
title = {K{PZ} equation, its renormalization and invariant
measures},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {3},
year = {2015},
number = {2},
pages = {159--220},
issn = {2194-0401},
mrclass = {60H15 (35R60 82C28)},
mrnumber = {3350451},
mrreviewer = {Yoshiki Otobe},
doi = {10.1007/s40072-015-0046-x},
url = {https://doi.org/10.1007/s40072-015-0046-x}
}
@InCollection{ funaki:00:recent,
author = {Funaki, T.},
title = {Recent results on the {G}inzburg-{L}andau {$\nabla\phi$}
interface model},
booktitle = {Hydrodynamic limits and related topics ({T}oronto, {ON},
1998)},
series = {Fields Inst. Commun.},
volume = {27},
pages = {71--81},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {60K35 (35K55 82B20 82C20)},
mrnumber = {1798644},
mrreviewer = {Giambattista Giacomin},
doi = {10.1002/(sici)1520-6416(20000130)130:2<88::aid-eej11>3.0.co;2-f},
url = {https://doi.org/10.1002/(sici)1520-6416(20000130)130:2<88::aid-eej11>3.0.co;2-f}
}
@Article{ funaki:79:probabilistic,
author = {Funaki, Tadahisa},
title = {Probabilistic construction of the solution of some higher
order parabolic differential equation},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
fjournal = {Japan Academy. Proceedings. Series A. Mathematical
Sciences},
volume = {55},
year = {1979},
number = {5},
pages = {176--179},
issn = {0386-2194},
mrclass = {60H05 (35K30 60J60)},
mrnumber = {533542},
mrreviewer = {S. I. Rosencrans},
url = {http://projecteuclid.org/euclid.pja/1195517312}
}
@InCollection{ funaki:84:random,
author = {Funaki, Tadahisa},
title = {Random motion of strings and stochastic differential
equations on the space {$C([0,1],{\bf R}^d)$}},
booktitle = {Stochastic analysis ({K}atata/{K}yoto, 1982)},
series = {North-Holland Math. Library},
volume = {32},
pages = {121--133},
publisher = {North-Holland, Amsterdam},
year = {1984},
mrclass = {60H15},
mrnumber = {780755},
mrreviewer = {P. Kotelenez},
doi = {10.1016/S0924-6509(08)70390-8},
url = {https://doi.org/10.1016/S0924-6509(08)70390-8}
}
@Article{ furedi.komlos:81:eigenvalues,
author = {F\"{u}redi, Z. and Koml\'{o}s, J.},
title = {The eigenvalues of random symmetric matrices},
journal = {Combinatorica},
fjournal = {Combinatorica. An International Journal of the J\'{a}nos
Bolyai Mathematical Society},
volume = {1},
year = {1981},
number = {3},
pages = {233--241},
issn = {0209-9683},
mrclass = {15A18 (05C50 15A52 60F99)},
mrnumber = {637828},
mrreviewer = {Abbas A. El Gamal},
doi = {10.1007/BF02579329},
url = {https://doi.org/10.1007/BF02579329}
}
@Article{ furstenberg.kesten:60:products,
author = {Furstenberg, H. and Kesten, H.},
title = {Products of random matrices},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {31},
year = {1960},
pages = {457--469},
issn = {0003-4851},
mrclass = {60.00},
mrnumber = {121828},
mrreviewer = {R.\ E.\ Bellman},
doi = {10.1214/aoms/1177705909},
url = {https://doi.org/10.1214/aoms/1177705909}
}
@Article{ fyodorov.bouchaud:08:freezing,
author = {Fyodorov, Yan V. and Bouchaud, Jean-Philippe},
title = {Freezing and extreme-value statistics in a random energy
model with logarithmically correlated potential},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {41},
year = {2008},
number = {37},
pages = {372001, 12},
issn = {1751-8113},
mrclass = {82B44},
mrnumber = {2430565},
doi = {10.1088/1751-8113/41/37/372001},
url = {https://doi.org/10.1088/1751-8113/41/37/372001}
}
@Article{ fyodorov.le-doussal.ea:09:statistical,
author = {Fyodorov, Yan V. and Le Doussal, Pierre and Rosso,
Alberto},
title = {Statistical mechanics of logarithmic {REM}: duality,
freezing and extreme value statistics of {$1/f$} noises
generated by {G}aussian free fields},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2009},
number = {10},
pages = {P10005, 32},
mrclass = {82B44 (81T40)},
mrnumber = {2882779},
doi = {10.1088/1742-5468/2009/10/p10005},
url = {https://doi.org/10.1088/1742-5468/2009/10/p10005}
}
@InCollection{ fyodorov.savin:11:resonance,
author = {Fyodorov, Y. V. and Savin, D. V.},
title = {Resonance scattering of waves in chaotic systems},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {703--722},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {81U10 (60B20)},
mrnumber = {2932654},
mrreviewer = {Nizar Demni}
}
@Article{ g-atarek.go-dys:96:existence,
author = {G\polhk atarek, Dariusz and Go\l dys, Beniamin},
title = {Existence, uniqueness and ergodicity for the stochastic
quantization equation},
journal = {Studia Math.},
fjournal = {Studia Mathematica},
volume = {119},
year = {1996},
number = {2},
pages = {179--193},
issn = {0039-3223},
mrclass = {81S20 (60H15 81T40)},
mrnumber = {1391475},
mrreviewer = {Vivek S. Borkar}
}
@Article{ gage.hamilton:86:heat,
author = {Gage, M. and Hamilton, R. S.},
title = {The heat equation shrinking convex plane curves},
journal = {J. Differential Geom.},
fjournal = {Journal of Differential Geometry},
volume = {23},
year = {1986},
number = {1},
pages = {69--96},
issn = {0022-040X},
mrclass = {53A04 (35K05 52A40 58E99 58G11)},
mrnumber = {840401},
mrreviewer = {R. Osserman},
url = {http://projecteuclid.org/euclid.jdg/1214439902}
}
@Article{ gajda.magdziarz:10:fractional,
author = {Gajda, Janusz and Magdziarz, Marcin},
title = {Fractional {F}okker-{P}lanck equation with tempered
{$\alpha$}-stable waiting times: {L}angevin picture and
computer simulation},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {82},
year = {2010},
number = {1},
pages = {011117, 6},
issn = {1539-3755},
mrclass = {82C31},
mrnumber = {2736365},
doi = {10.1103/PhysRevE.82.011117},
url = {https://doi.org/10.1103/PhysRevE.82.011117}
}
@Article{ gajewski.zacharias:98:global,
author = {Gajewski, Herbert and Zacharias, Klaus},
title = {Global behaviour of a reaction-diffusion system modelling
chemotaxis},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {195},
year = {1998},
pages = {77--114},
issn = {0025-584X},
mrclass = {92D50 (35K57 35Q80)},
mrnumber = {1654677},
mrreviewer = {Brian D. Sleeman},
doi = {10.1002/mana.19981950106},
url = {https://doi.org/10.1002/mana.19981950106}
}
@Article{ gajic.stankovic:76:some,
author = {Gaji\'{c}, Lj. and Stankovi\'{c}, B.},
title = {Some properties of {W}right's function},
journal = {Publ. Inst. Math. (Beograd) (N.S.)},
fjournal = {Institut Math\'{e}matique. Publications. Nouvelle
S\'{e}rie},
volume = {20(34)},
year = {1976},
pages = {91--98},
issn = {0350-1302},
mrclass = {33A35},
mrnumber = {437820},
mrreviewer = {Y. L. Luke}
}
@Article{ galakhov.salieva.ea:16:on,
author = {Galakhov, Evgeny and Salieva, Olga and Tello, J. Ignacio},
title = {On a parabolic-elliptic system with chemotaxis and
logistic type growth},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {261},
year = {2016},
number = {8},
pages = {4631--4647},
issn = {0022-0396},
mrclass = {92C17 (35A01 35B35 35B40 35B44 35K59 35M33 35Q92)},
mrnumber = {3537839},
doi = {10.1016/j.jde.2016.07.008},
url = {https://doi.org/10.1016/j.jde.2016.07.008}
}
@Article{ galaktionov.hulshof.ea:97:extinction,
author = {Galaktionov, Victor A. and Hulshof, Josephus and Vazquez,
Juan L.},
title = {Extinction and focusing behaviour of spherical and annular
flames described by a free boundary problem},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {76},
year = {1997},
number = {7},
pages = {563--608},
issn = {0021-7824},
mrclass = {35R35 (35B40 35K05 80A25)},
mrnumber = {1472115},
mrreviewer = {Lisa Santos},
doi = {10.1016/S0021-7824(97)89963-1},
url = {https://doi.org/10.1016/S0021-7824(97)89963-1}
}
@Article{ galaktionov.kurdjumov.ea:80:on,
author = {Galaktionov, V. A. and Kurdjumov, S. P. and Mihau{i}lov,
A. P. and Samarskiu{i}, A. A.},
title = {On unbounded solutions of the {C}auchy problem for the
parabolic equation {$u_{t}=\nabla (u^{\sigma }\nabla
u)+u^{\beta }$}},
journal = {Dokl. Akad. Nauk SSSR},
fjournal = {Doklady Akademii Nauk SSSR},
volume = {252},
year = {1980},
number = {6},
pages = {1362--1364},
issn = {0002-3264},
mrclass = {35B40 (35K55)},
mrnumber = {581597},
mrreviewer = {J. Ka\v{c}ur}
}
@Article{ galaktionov.kurdyumov.ea:83:parabolic,
author = {Galaktionov, V. A. and Kurdyumov, S. P. and Samarskiu{i},
A. A.},
title = {A parabolic system of quasilinear equations. {I}},
journal = {Differentsial{\cprime}nye Uravneniya},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {19},
year = {1983},
number = {12},
pages = {2123--2140},
issn = {0374-0641},
mrclass = {35K60 (35B35)},
mrnumber = {729570},
mrreviewer = {R. Schumann}
}
@Article{ galaktionov.kurdyumov.ea:84:approximate,
author = {Galaktionov, V. A. and Kurdyumov, S. P. and Samarskiu{i},
A. A.},
title = {Approximate self-similar solutions of a class of
quasilinear heat equations with a source},
journal = {Mat. Sb. (N.S.)},
fjournal = {Matematicheskiu{i} Sbornik. Novaya Seriya},
volume = {124(166)},
year = {1984},
number = {2},
pages = {163--188},
issn = {0368-8666},
mrclass = {35K55 (35A22 35C99)},
mrnumber = {746066},
mrreviewer = {Guang Chang Dong}
}
@Article{ galaktionov.kurdyumov.ea:89:on,
author = {Galaktionov, V. A. and Kurdyumov, S. P. and Samarskiu{i},
A. A.},
title = {On the method of stationary states for quasilinear
parabolic equations},
journal = {Mat. Sb.},
fjournal = {Matematicheskiu{i} Sbornik},
volume = {180},
year = {1989},
number = {8},
pages = {995--1016, 1150},
issn = {0368-8666},
mrclass = {35K55 (35B40)},
mrnumber = {1019478},
mrreviewer = {J. Ka\v{c}ur},
doi = {10.1070/SM1990v067n02ABEH002091},
url = {https://doi.org/10.1070/SM1990v067n02ABEH002091}
}
@Article{ galaktionov.levine:96:on,
author = {Galaktionov, Victor A. and Levine, Howard A.},
title = {On critical {F}ujita exponents for heat equations with
nonlinear flux conditions on the boundary},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {94},
year = {1996},
pages = {125--146},
issn = {0021-2172},
mrclass = {35K60 (35B05)},
mrnumber = {1394570},
mrreviewer = {Nicolai N. Shopolov},
doi = {10.1007/BF02762700},
url = {https://doi.org/10.1007/BF02762700}
}
@Article{ galaktionov.levine:98:general,
author = {Galaktionov, Victor A. and Levine, Howard A.},
title = {A general approach to critical {F}ujita exponents in
nonlinear parabolic problems},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {34},
year = {1998},
number = {7},
pages = {1005--1027},
issn = {0362-546X},
mrclass = {35K55},
mrnumber = {1636000},
mrreviewer = {Hong Ming Yin},
doi = {10.1016/S0362-546X(97)00716-5},
url = {https://doi.org/10.1016/S0362-546X(97)00716-5}
}
@Article{ galaktionov.peletier:97:asymptotic,
author = {Galaktionov, Victor A. and Peletier, Lambertus A.},
title = {Asymptotic behaviour near finite-time extinction for the
fast diffusion equation},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {139},
year = {1997},
number = {1},
pages = {83--98},
issn = {0003-9527},
mrclass = {35K55 (35B40)},
mrnumber = {1475779},
doi = {10.1007/s002050050048},
url = {https://doi.org/10.1007/s002050050048}
}
@Article{ galaktionov.posashkov:85:equation,
author = {Galaktionov, V. A. and Posashkov, S. A.},
title = {The equation {$u_t=u_{xx}+u^\beta$}. {L}ocalization,
asymptotic behavior of unbounded solutions},
journal = {Akad. Nauk SSSR Inst. Prikl. Mat. Preprint},
fjournal = {Akademiya Nauk SSSR. Institut Prikladnou{i} Matematiki.
Preprint},
year = {1985},
number = {97},
pages = {30},
mrclass = {35K55 (35B40)},
mrnumber = {832277}
}
@Article{ galaktionov.shmarev.ea:99:second-order,
author = {Galaktionov, Victor A. and Shmarev, Sergei I. and Vazquez,
Juan L.},
title = {Second-order interface equations for nonlinear diffusion
with very strong absorption},
journal = {Commun. Contemp. Math.},
fjournal = {Communications in Contemporary Mathematics},
volume = {1},
year = {1999},
number = {1},
pages = {51--64},
issn = {0219-1997},
mrclass = {35K55 (35R35)},
mrnumber = {1681812},
doi = {10.1142/S0219199799000031},
url = {https://doi.org/10.1142/S0219199799000031}
}
@InCollection{ galaktionov.vazquez:02:problem,
author = {Galaktionov, Victor A. and V\'{a}zquez, Juan L.},
title = {The problem of blow-up in nonlinear parabolic equations},
note = {Current developments in partial differential equations
(Temuco, 1999)},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {8},
year = {2002},
number = {2},
pages = {399--433},
issn = {1078-0947},
mrclass = {35K55 (35B40 35K65)},
mrnumber = {1897690},
mrreviewer = {Dian K. Palagachev},
doi = {10.3934/dcds.2002.8.399},
url = {https://doi.org/10.3934/dcds.2002.8.399}
}
@Article{ galaktionov.vazquez:91:asymptotic,
author = {Galaktionov, Victor A. and V\'{a}zquez, Juan L.},
title = {Asymptotic behaviour of nonlinear parabolic equations with
critical exponents. {A} dynamical systems approach},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {100},
year = {1991},
number = {2},
pages = {435--462},
issn = {0022-1236},
mrclass = {35K55 (35B40 58F39)},
mrnumber = {1125235},
mrreviewer = {Woodford W. Zachary},
doi = {10.1016/0022-1236(91)90120-T},
url = {https://doi.org/10.1016/0022-1236(91)90120-T}
}
@Article{ galaktionov.vazquez:93:regional,
author = {Galaktionov, Victor A. and V\'{a}zquez, Juan L.},
title = {Regional blow up in a semilinear heat equation with
convergence to a {H}amilton-{J}acobi equation},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {24},
year = {1993},
number = {5},
pages = {1254--1276},
issn = {0036-1410},
mrclass = {35K55 (35B40)},
mrnumber = {1234014},
mrreviewer = {Nicolai N. Shopolov},
doi = {10.1137/0524071},
url = {https://doi.org/10.1137/0524071}
}
@Article{ galaktionov.vazquez:94:extinction,
author = {Galaktionov, Victor A. and V\'{a}zquez, Juan L.},
title = {Extinction for a quasilinear heat equation with
absorption. {I}. {T}echnique of intersection comparison},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {19},
year = {1994},
number = {7-8},
pages = {1075--1106},
issn = {0360-5302},
mrclass = {35K55 (35B40 35K65)},
mrnumber = {1284802},
mrreviewer = {Song Mu Zheng},
doi = {10.1080/03605309408821046},
url = {https://doi.org/10.1080/03605309408821046}
}
@Article{ galaktionov.vazquez:95:necessary,
author = {Galaktionov, Victor A. and V\'{a}zquez, Juan L.},
title = {Necessary and sufficient conditions for complete blow-up
and extinction for one-dimensional quasilinear heat
equations},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {129},
year = {1995},
number = {3},
pages = {225--244},
issn = {0003-9527},
mrclass = {35K55 (35B05 35B40)},
mrnumber = {1328477},
mrreviewer = {Vladimir Grebenev},
doi = {10.1007/BF00383674},
url = {https://doi.org/10.1007/BF00383674}
}
@Article{ galaktionov.vazquez:96:blow-up,
author = {Galaktionov, Victor A. and Vazquez, Juan L.},
title = {Blow-up for quasilinear heat equations described by means
of nonlinear {H}amilton-{J}acobi equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {127},
year = {1996},
number = {1},
pages = {1--40},
issn = {0022-0396},
mrclass = {35K55 (35B40)},
mrnumber = {1387255},
mrreviewer = {Song Mu Zheng},
doi = {10.1006/jdeq.1996.0059},
url = {https://doi.org/10.1006/jdeq.1996.0059}
}
@Article{ galaktionov.vazquez:97:continuation,
author = {Galaktionov, Victor A. and Vazquez, Juan L.},
title = {Continuation of blowup solutions of nonlinear heat
equations in several space dimensions},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {50},
year = {1997},
number = {1},
pages = {1--67},
issn = {0010-3640},
mrclass = {35K55 (35B05 35B60)},
mrnumber = {1423231},
mrreviewer = {Dian K. Palagachev},
doi = {10.1002/(SICI)1097-0312(199701)50:1<1::AID-CPA1>3.3.CO;2-R},
url = {https://doi.org/10.1002/(SICI)1097-0312(199701)50:1<1::AID-CPA1>3.3.CO;2-R}
}
@Article{ galaktionov.vazquez:97:incomplete,
author = {Galaktionov, Victor A. and Vazquez, Juan L.},
title = {Incomplete blow-up and singular interfaces for quasilinear
heat equations},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {22},
year = {1997},
number = {9-10},
pages = {1405--1452},
issn = {0360-5302},
mrclass = {35K65 (35B05 35R35)},
mrnumber = {1469577},
mrreviewer = {Georg S. Weiss},
doi = {10.1080/03605309708821306},
url = {https://doi.org/10.1080/03605309708821306}
}
@InCollection{ galaktionov.vazquez:98:dynamical,
author = {Galaktionov, Victor A. and Vazquez, Juan L.},
title = {A dynamical systems approach for the asymptotic analysis
of nonlinear heat equations},
booktitle = {International {C}onference on {D}ifferential {E}quations
({L}isboa, 1995)},
pages = {82--106},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1998},
mrclass = {35K55 (35B40 58F39)},
mrnumber = {1639327},
mrreviewer = {Lisa Santos}
}
@Article{ galaktionov.vazquez:99:blow-up,
author = {Galaktionov, V. A. and Vazquez, J. L.},
title = {Blow-up of a class of solutions with free boundaries for
the {N}avier-{S}tokes equations},
journal = {Adv. Differential Equations},
fjournal = {Advances in Differential Equations},
volume = {4},
year = {1999},
number = {3},
pages = {297--321},
issn = {1079-9389},
mrclass = {35Q30 (35B40 35R35 76D05)},
mrnumber = {1671252},
mrreviewer = {Ruxandra Stavre}
}
@Article{ galaktionov:80:approximate,
author = {Galaktionov, V. A.},
title = {Approximate self-similar solutions of equations of heat
conduction type},
journal = {Differentsial{\cprime}nye Uravneniya},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {16},
year = {1980},
number = {9},
pages = {1660--1676, 1726},
issn = {0374-0641},
mrclass = {35B40 (35A30)},
mrnumber = {590345},
mrreviewer = {I. N. Molchanov}
}
@Article{ galaktionov:81:boundary,
author = {Galaktionov, V. A.},
title = {A boundary value problem for the nonlinear parabolic
equation {$u_{t}=\Delta u^{\sigma +1}+u^{\beta }$}},
journal = {Differentsial{\cprime}nye Uravneniya},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {17},
year = {1981},
number = {5},
pages = {836--842, 956},
issn = {0374-0641},
mrclass = {35K55},
mrnumber = {616920},
mrreviewer = {J. Ka\v{c}ur}
}
@Article{ galaktionov:82:conditions,
author = {Galaktionov, V. A.},
title = {Conditions for the absence of global solutions of a class
of quasilinear parabolic equations},
journal = {Zh. Vychisl. Mat. i Mat. Fiz.},
fjournal = {Akademiya Nauk SSSR. Zhurnal Vychislitel{\cprime}nou{i}
Matematiki i Matematicheskou{i} Fiziki},
volume = {22},
year = {1982},
number = {2},
pages = {322--338, 492},
issn = {0044-4669},
mrclass = {35K60},
mrnumber = {655764},
mrreviewer = {V. \v{D}urikovi\v{c}}
}
@Article{ galaktionov:83:conditions,
author = {Galaktionov, V. A.},
title = {Conditions for nonexistence in the large and localization
of solutions of the {C}auchy problem for a class of
nonlinear parabolic equations},
journal = {Zh. Vychisl. Mat. i Mat. Fiz.},
fjournal = {Akademiya Nauk SSSR. Zhurnal Vychislitel{\cprime}nou{i}
Matematiki i Matematicheskou{i} Fiziki},
volume = {23},
year = {1983},
number = {6},
pages = {1341--1354},
issn = {0044-4669},
mrclass = {35K55},
mrnumber = {731239},
mrreviewer = {Guang Chang Dong}
}
@Article{ galaktionov:85:proof,
author = {Galaktionov, V. A.},
title = {A proof of the localization of unbounded solutions of the
nonlinear parabolic equation {$u_t=(u^\sigma
u_x)_x+u^\beta$}},
journal = {Differentsial{\cprime}nye Uravneniya},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {21},
year = {1985},
number = {1},
pages = {15--23, 179--180},
issn = {0374-0641},
mrclass = {35K55 (35K15)},
mrnumber = {777775},
mrreviewer = {Pavel Dr\'{a}bek}
}
@Article{ galaktionov:86:asymptotic,
author = {Galaktionov, V. A.},
title = {Asymptotic behavior of unbounded solutions of the
nonlinear equation {$u_t=(u^\sigma u_x)_x+u^\beta$} near a
``singular'' point},
journal = {Dokl. Akad. Nauk SSSR},
fjournal = {Doklady Akademii Nauk SSSR},
volume = {288},
year = {1986},
number = {6},
pages = {1293--1297},
issn = {0002-3264},
mrclass = {35B40 (35K55)},
mrnumber = {852454},
mrreviewer = {I. N. Tavkhelidze}
}
@Article{ galaktionov:90:on,
author = {Galaktionov, Victor A.},
title = {On new exact blow-up solutions for nonlinear heat
conduction equations with source and applications},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory and Applications},
volume = {3},
year = {1990},
number = {5},
pages = {863--874},
issn = {0893-4983},
mrclass = {35B40 (35K55)},
mrnumber = {1059335},
mrreviewer = {Mokhtar Kirane}
}
@Article{ galaktionov:94:blow-up,
author = {Galaktionov, Victor A.},
title = {Blow-up for quasilinear heat equations with critical
{F}ujita's exponents},
journal = {Proc. Roy. Soc. Edinburgh Sect. A},
fjournal = {Proceedings of the Royal Society of Edinburgh. Section A.
Mathematics},
volume = {124},
year = {1994},
number = {3},
pages = {517--525},
issn = {0308-2105},
mrclass = {35K55 (35B05)},
mrnumber = {1286917},
doi = {10.1017/S0308210500028766},
url = {https://doi.org/10.1017/S0308210500028766}
}
@Article{ galaktionov:95:invariant,
author = {Galaktionov, Victor A.},
title = {Invariant subspaces and new explicit solutions to
evolution equations with quadratic nonlinearities},
journal = {Proc. Roy. Soc. Edinburgh Sect. A},
fjournal = {Proceedings of the Royal Society of Edinburgh. Section A.
Mathematics},
volume = {125},
year = {1995},
number = {2},
pages = {225--246},
issn = {0308-2105},
mrclass = {35Q53 (35A30 35C05)},
mrnumber = {1331559},
mrreviewer = {B. G. Konopel{\cprime}chenko},
doi = {10.1017/S0308210500028018},
url = {https://doi.org/10.1017/S0308210500028018}
}
@Article{ galeati.gubinelli:20:prevalence,
title = {Prevalence of $\rho$-irregularity and related properties},
author = {Lucio Galeati and Massimiliano Gubinelli},
year = {2020},
month = {April},
journal = {Preprint arXiv:2004.00872},
url = {http://arXiv.org/abs/2004.00872}
}
@Article{ galeati:20:on,
author = {Galeati, Lucio},
title = {On the convergence of stochastic transport equations to a
deterministic parabolic one},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {8},
year = {2020},
number = {4},
pages = {833--868},
issn = {2194-0401},
mrclass = {60H15 (35R60 60J60 82C22)},
mrnumber = {4174071},
doi = {10.1007/s40072-019-00162-6},
url = {https://doi.org/10.1007/s40072-019-00162-6}
}
@Article{ gallarati.veraar:17:evolution,
author = {Gallarati, Chiara and Veraar, Mark},
title = {Evolution families and maximal regularity for systems of
parabolic equations},
journal = {Adv. Differential Equations},
fjournal = {Advances in Differential Equations},
volume = {22},
year = {2017},
number = {3-4},
pages = {169--190},
issn = {1079-9389},
mrclass = {42B37 (34G10 35B65 35K40 35K90 42B15 47D06)},
mrnumber = {3611504},
mrreviewer = {Paulo\ R.\ Zingano},
url = {http://projecteuclid.org/euclid.ade/1487386866}
}
@Article{ gallarati.veraar:17:maximal,
author = {Gallarati, Chiara and Veraar, Mark},
title = {Maximal regularity for non-autonomous equations with
measurable dependence on time},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {46},
year = {2017},
number = {3},
pages = {527--567},
issn = {0926-2601,1572-929X},
mrclass = {35K90 (34G10 34G20 35B65 42B15 42B20 42B37 47D06)},
mrnumber = {3630407},
doi = {10.1007/s11118-016-9593-7},
url = {https://doi.org/10.1007/s11118-016-9593-7}
}
@Article{ gallego.naveiro.ea:19:opponent,
title = {Opponent aware reinforcement learning},
author = {Gallego, Victor and Naveiro, Roi and Insua, David
R{\'\i}os and Oteiza, David Gomez-Ullate},
journal = {arXiv preprint arXiv:1908.08773},
year = {2019}
}
@Article{ gallian:18:dynamic,
author = {Joseph A. Gallian},
title = {A Dynamic Survey of Graph Labeling (Twenty-first edition,
2018)},
journal = {The Electronic Journal of Combinatorics},
year = {2018},
url = {http://www.combinatorics.org/ojs/index.php/eljc/article/viewFile/DS6/pdf}
}
@Article{ galves.presutti:87:edge,
author = {Galves, Antonio and Presutti, Errico},
title = {Edge fluctuations for the one-dimensional supercritical
contact process},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {15},
year = {1987},
number = {3},
pages = {1131--1145},
issn = {0091-1798},
mrclass = {60K35 (60F17)},
mrnumber = {893919},
mrreviewer = {W. David Wick},
url = {http://links.jstor.org/sici?sici=0091-1798(198707)15:3<1131:EFFTOD>2.0.CO;2-1&origin=MSN}
}
@Article{ gancedo.patel:21:on,
author = {Gancedo, Francisco and Patel, Neel},
title = {On the local existence and blow-up for generalized {SQG}
patches},
journal = {Ann. PDE},
fjournal = {Annals of PDE. Journal Dedicated to the Analysis of
Problems from Physical Sciences},
volume = {7},
year = {2021},
number = {1},
pages = {Paper No. 4, 63},
issn = {2524-5317},
mrclass = {35Q31 (35Q35 37G40)},
mrnumber = {4235799},
doi = {10.1007/s40818-021-00095-1},
url = {https://doi.org/10.1007/s40818-021-00095-1}
}
@Article{ gancedo:08:existence,
author = {Gancedo, Francisco},
title = {Existence for the {$\alpha$}-patch model and the {QG}
sharp front in {S}obolev spaces},
journal = {Adv. Math.},
fjournal = {Advances in Mathematics},
volume = {217},
year = {2008},
number = {6},
pages = {2569--2598},
issn = {0001-8708},
mrclass = {35Q35 (76B03 76U05)},
mrnumber = {2397460},
mrreviewer = {Milton C. Lopes Filho},
doi = {10.1016/j.aim.2007.10.010},
url = {https://doi.org/10.1016/j.aim.2007.10.010}
}
@Book{ ganesan.tobiska:17:finite,
author = {Ganesan, Sashikumaar and Tobiska, Lutz},
title = {Finite elements},
series = {Cambridge-IISc Series},
note = {Theory and algorithms},
publisher = {Cambridge University Press, Cambridge},
year = {2017},
pages = {viii+208},
isbn = {978-1-108-41570-5},
mrclass = {65-01 (65M60 65N30)},
mrnumber = {3752652},
doi = {10.1017/9781108235013},
url = {https://doi.org/10.1017/9781108235013}
}
@Article{ gantert.hu.ea:11:asymptotics,
author = {Gantert, Nina and Hu, Yueyun and Shi, Zhan},
title = {Asymptotics for the survival probability in a killed
branching random walk},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {47},
year = {2011},
number = {1},
pages = {111--129},
issn = {0246-0203},
mrclass = {60J80},
mrnumber = {2779399},
mrreviewer = {In\'{e}s Maria del Puerto},
doi = {10.1214/10-AIHP362},
url = {https://doi.org/10.1214/10-AIHP362}
}
@Article{ gantert.zeitouni:98:large,
author = {Gantert, N. and Zeitouni, O.},
title = {Large and moderate deviations for the local time of a
recurrent {M}arkov chain on {${\bf Z}^2$}},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {34},
year = {1998},
number = {5},
pages = {687--704},
issn = {0246-0203},
mrclass = {60J10 (60F10 60F15 60J55)},
mrnumber = {1641674},
doi = {10.1016/S0246-0203(98)80004-6},
url = {https://doi.org/10.1016/S0246-0203(98)80004-6}
}
@Article{ gantert.zeitouni:98:quenched,
author = {Gantert, Nina and Zeitouni, Ofer},
title = {Quenched sub-exponential tail estimates for
one-dimensional random walk in random environment},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {194},
year = {1998},
number = {1},
pages = {177--190},
issn = {0010-3616,1432-0916},
mrclass = {60K35 (60F10 60J15 82C44)},
mrnumber = {1628294},
mrreviewer = {Didier\ Piau},
doi = {10.1007/s002200050354},
url = {https://doi.org/10.1007/s002200050354}
}
@InCollection{ gantert.zeitouni:99:large,
author = {Gantert, Nina and Zeitouni, Ofer},
title = {Large deviations for one-dimensional random walk in a
random environment---a survey},
booktitle = {Random walks ({B}udapest, 1998)},
series = {Bolyai Soc. Math. Stud.},
volume = {9},
pages = {127--165},
publisher = {J\'{a}nos Bolyai Math. Soc., Budapest},
year = {1999},
isbn = {963-8022-91-4},
mrclass = {60F10 (60G50 60K37)},
mrnumber = {1752893},
mrreviewer = {Didier\ Piau}
}
@Article{ gao.fu.ea:18:existence,
author = {Gao, Haiyan and Fu, Shengmao and Mohammed, Hassan},
title = {Existence of global solution to a two-species
{K}eller-{S}egel chemotaxis model},
journal = {Int. J. Biomath.},
fjournal = {International Journal of Biomathematics},
volume = {11},
year = {2018},
number = {3},
pages = {1850036, 17},
issn = {1793-5245},
mrclass = {92C17 (35K51 35K59)},
mrnumber = {3787917},
doi = {10.1142/S1793524518500365},
url = {https://doi.org/10.1142/S1793524518500365}
}
@Article{ gao.guo.ea:21:persistence,
author = {Gao, Jianping and Guo, Shangjiang and Shen, Wenxian},
title = {Persistence and time periodic positive solutions of doubly
nonlocal {F}isher-{KPP} equations in time periodic and
space heterogeneous media},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {26},
year = {2021},
number = {5},
pages = {2645--2676},
issn = {1531-3492,1553-524X},
mrclass = {35K57 (47G20 92D25)},
mrnumber = {4233756},
doi = {10.3934/dcdsb.2020199},
url = {https://doi.org/10.3934/dcdsb.2020199}
}
@Article{ gao.li.ea:10:how,
author = {Gao, Fuchang and Li, Wenbo V. and Wellner, Jon A.},
title = {How many {L}aplace transforms of probability measures are
there?},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {138},
year = {2010},
number = {12},
pages = {4331--4344},
issn = {0002-9939,1088-6826},
mrclass = {46N30 (46B50 60F10 60G15 60G52 62G05)},
mrnumber = {2680059},
mrreviewer = {Werner\ Linde},
doi = {10.1090/S0002-9939-2010-10448-3},
url = {https://doi.org/10.1090/S0002-9939-2010-10448-3}
}
@Article{ gao.li:06:logarithmic,
author = {Gao, Fuchang and Li, Wenbo V.},
title = {Logarithmic level comparison for small deviation
probabilities},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {19},
year = {2006},
number = {3},
pages = {535--556},
issn = {0894-9840,1572-9230},
mrclass = {60G15 (60F99 60G10)},
mrnumber = {2280509},
mrreviewer = {J.\ H\"{u}sler},
doi = {10.1007/s10959-006-0026-1},
url = {https://doi.org/10.1007/s10959-006-0026-1}
}
@Article{ gao.li:07:small,
author = {Gao, Fuchang and Li, Wenbo V.},
title = {Small ball probabilities for the {S}lepian {G}aussian
fields},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {359},
year = {2007},
number = {3},
pages = {1339--1350},
issn = {0002-9947,1088-6850},
mrclass = {60G15 (42A55)},
mrnumber = {2262853},
mrreviewer = {Isamu\ D\^{o}ku},
doi = {10.1090/S0002-9947-06-03963-8},
url = {https://doi.org/10.1090/S0002-9947-06-03963-8}
}
@Article{ gao.marzuola.ea:20:nonlocal,
author = {Gao, Yuan and Marzuola, Jeremy L. and Mattingly, Jonathan
C. and Newhall, Katherine A.},
title = {Nonlocal stochastic-partial-differential-equation limits
of spatially correlated noise-driven spin systems derived
to sample a canonical distribution},
journal = {Phys. Rev. E},
fjournal = {Physical Review E},
volume = {102},
year = {2020},
number = {5},
pages = {052112, 20},
issn = {2470-0045,2470-0053},
mrclass = {60H15 (82C31)},
mrnumber = {4189339},
doi = {10.1103/physreve.102.052112},
url = {https://doi.org/10.1103/physreve.102.052112}
}
@Article{ gao.quastel:03:exponential,
author = {Gao, Fuqing and Quastel, Jeremy},
title = {Exponential decay of entropy in the random transposition
and {B}ernoulli-{L}aplace models},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {13},
year = {2003},
number = {4},
pages = {1591--1600},
issn = {1050-5164},
mrclass = {60K35 (60B15 60J10 60J22)},
mrnumber = {2023890},
mrreviewer = {Paolo Dai Pra},
doi = {10.1214/aoap/1069786512},
url = {https://doi.org/10.1214/aoap/1069786512}
}
@Article{ gao.quastel:03:moderate,
author = {Gao, Fuqing and Quastel, J.},
title = {Moderate deviations from the hydrodynamic limit of the
symmetric exclusion process},
journal = {Sci. China Ser. A},
fjournal = {Science in China. Series A. Mathematics},
volume = {46},
year = {2003},
number = {5},
pages = {577--592},
issn = {1006-9283},
mrclass = {60K35 (60F05 60F10 82C22)},
mrnumber = {2025926},
mrreviewer = {Francis Comets},
doi = {10.1360/02ys0114},
url = {https://doi.org/10.1360/02ys0114}
}
@Article{ garban.rhodes.ea:14:on,
author = {Garban, Christophe and Rhodes, R\'emi and Vargas, Vincent},
title = {On the heat kernel and the {D}irichlet form of {L}iouville
{B}rownian motion},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
pages = {no. 96, 25},
issn = {1083-6489},
mrclass = {60G60 (60G15 60J45)},
mrnumber = {3272329},
mrreviewer = {Mounir\ Bezzarga},
doi = {10.1214/ejp.v19-2950},
url = {https://doi.org/10.1214/ejp.v19-2950}
}
@Article{ garban.rhodes.ea:16:liouville,
author = {Garban, Christophe and Rhodes, R\'emi and Vargas, Vincent},
title = {Liouville {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {4},
pages = {3076--3110},
issn = {0091-1798,2168-894X},
mrclass = {60D05 (28A80 60G15)},
mrnumber = {3531686},
mrreviewer = {Artemi\ Berlinkov},
doi = {10.1214/15-AOP1042},
url = {https://doi.org/10.1214/15-AOP1042}
}
@InCollection{ garban.steif:12:noise,
author = {Garban, Christophe and Steif, Jeffrey E.},
title = {Noise sensitivity and percolation},
booktitle = {Probability and statistical physics in two and more
dimensions},
series = {Clay Math. Proc.},
volume = {15},
pages = {49--154},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2012},
mrclass = {60K35 (60J67 82B05)},
mrnumber = {3025390},
mrreviewer = {Dmitry Beliaev}
}
@Book{ gardiner:85:handbook,
author = {Gardiner, C. W.},
title = {Handbook of stochastic methods},
series = {Springer Series in Synergetics},
volume = {13},
edition = {Second},
note = {For physics, chemistry and the natural sciences},
publisher = {Springer-Verlag, Berlin},
year = {1985},
pages = {xx+442},
isbn = {3-540-15607-0; 3-540-61634-9},
mrclass = {00A69 (60-01 81C20 82A31)},
mrnumber = {858704}
}
@Article{ gardner.derrida:88:optimal,
author = {Gardner, E. and Derrida, B.},
title = {Optimal storage properties of neural network models},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {21},
year = {1988},
number = {1},
pages = {271--284},
issn = {0305-4470,1751-8121},
mrclass = {82A57 (68M99 92A09)},
mrnumber = {939731},
mrreviewer = {F.\ Ventriglia},
url = {http://stacks.iop.org/0305-4470/21/271}
}
@InCollection{ gardner.derrida:89:probability,
author = {Gardner, E. and Derrida, B.},
title = {The probability distribution of the partition function of
the random energy model},
note = {Special issue in memory of Elizabeth Gardner, 1957--1988},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {22},
year = {1989},
number = {12},
pages = {1975--1981},
issn = {0305-4470,1751-8121},
mrclass = {82A57},
mrnumber = {1004905},
mrreviewer = {A.\ Comtet},
url = {http://stacks.iop.org/0305-4470/22/1975}
}
@InCollection{ gardner.derrida:89:three,
author = {Gardner, E. and Derrida, B.},
title = {Three unfinished works on the optimal storage capacity of
networks},
note = {Special issue in memory of Elizabeth Gardner, 1957--1988},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {22},
year = {1989},
number = {12},
pages = {1983--1994},
issn = {0305-4470,1751-8121},
mrclass = {92A25 (82A57)},
mrnumber = {1004906},
mrreviewer = {E.\ Pessa},
url = {http://stacks.iop.org/0305-4470/22/1983}
}
@Article{ gardner.greene.ea:67:method,
title = {Method for Solving the Korteweg-deVries Equation},
author = {Gardner, Clifford S. and Greene, John M. and Kruskal,
Martin D. and Miura, Robert M.},
journal = {Phys. Rev. Lett.},
volume = {19},
issue = {19},
pages = {1095--1097},
numpages = {0},
year = {1967},
month = {Nov},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.19.1095},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.19.1095}
}
@Article{ gardner:71:korteweg-de,
author = {Gardner, Clifford S.},
title = {Korteweg-de {V}ries equation and generalizations. {IV}.
{T}he {K}orteweg-de {V}ries equation as a {H}amiltonian
system},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {12},
year = {1971},
pages = {1548--1551},
issn = {0022-2488},
mrclass = {81.35 (35.00)},
mrnumber = {286402},
mrreviewer = {Joel Smoller},
doi = {10.1063/1.1665772},
url = {https://doi.org/10.1063/1.1665772}
}
@Book{ garey.johnson:90:computers,
title = {Computers and Intractability: A Guide to the Theory of
{NP-}Completeness},
author = {M. R. Garey and D. S. Johnson},
year = {1990},
publisher = {W. H. Freeman \& Co., New York}
}
@Article{ garino.nourdin.ea:21:limit,
author = {Garino, Valentin and Nourdin, Ivan and Nualart, David and
Salamat, Majid},
title = {Limit theorems for integral functionals of
{H}ermite-driven processes},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {27},
year = {2021},
number = {3},
pages = {1764--1788},
issn = {1350-7265},
mrclass = {60F17 (60G18 60G22 60H07)},
mrnumber = {4278795},
doi = {10.3150/20-bej1291},
url = {https://doi.org/10.3150/20-bej1291}
}
@Article{ garnier.s-lna:15:white-noise,
author = {Garnier, Josselin and S\o lna, Knut},
title = {White-noise paraxial approximation for a general random
hyperbolic system},
journal = {Multiscale Model. Simul.},
fjournal = {Multiscale Modeling \& Simulation. A SIAM
Interdisciplinary Journal},
volume = {13},
year = {2015},
number = {3},
pages = {1022--1060},
issn = {1540-3459,1540-3467},
mrclass = {35R60 (60F05 60H15)},
mrnumber = {3402777},
mrreviewer = {Le\ Chen},
doi = {10.1137/15M101556X},
url = {https://doi.org/10.1137/15M101556X}
}
@Article{ garra.giusti.ea:14:fractional,
author = {Garra, Roberto and Giusti, Andrea and Mainardi, Francesco
and Pagnini, Gianni},
title = {Fractional relaxation with time-varying coefficient},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis. An International
Journal for Theory and Applications},
volume = {17},
year = {2014},
number = {2},
pages = {424--439},
issn = {1311-0454,1314-2224},
mrclass = {34A08 (26A33 33E12 34A05)},
mrnumber = {3181064},
mrreviewer = {Manuel\ Duarte\ Ortigueira},
doi = {10.2478/s13540-014-0178-0},
url = {https://doi.org/10.2478/s13540-014-0178-0}
}
@Article{ garsia.rodemich.ea:70:real,
author = {Garsia, A. M. and Rodemich, E. and Rumsey, Jr., H.},
title = {A real variable lemma and the continuity of paths of some
{G}aussian processes},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {20},
year = {1970/71},
pages = {565--578},
issn = {0022-2518},
mrclass = {60.40},
mrnumber = {267632},
mrreviewer = {D. W. Stroock},
doi = {10.1512/iumj.1970.20.20046},
url = {https://doi.org/10.1512/iumj.1970.20.20046}
}
@Article{ garsia.rodemich:74:monotonicity,
author = {Garsia, A. M. and Rodemich, E.},
title = {Monotonicity of certain functionals under rearrangement},
journal = {Ann. Inst. Fourier (Grenoble)},
fjournal = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
volume = {24},
year = {1974},
number = {2},
pages = {vi, 67--116},
issn = {0373-0956},
mrclass = {26A16 (42A20 46E30 60G17)},
mrnumber = {414802},
mrreviewer = {Evarist Gin\'{e}},
url = {http://www.numdam.org/item?id=AIF_1974__24_2_67_0}
}
@InProceedings{ garsia:72:continuity,
author = {Garsia, Adriano M.},
title = {Continuity properties of {G}aussian processes with
multidimensional time parameter},
booktitle = {Proceedings of the {S}ixth {B}erkeley {S}ymposium on
{M}athematical {S}tatistics and {P}robability ({U}niv.
{C}alifornia, {B}erkeley, {C}alif., 1970/1971), {V}ol.
{II}: {P}robability theory},
pages = {369--374},
publisher = {Univ. California Press, Berkeley, CA},
year = {1972},
mrclass = {60G15},
mrnumber = {410880},
mrreviewer = {P. Laurie Davies}
}
@InProceedings{ garsia:72:continuity*1,
author = {Garsia, Adriano M.},
title = {Continuity properties of {G}aussian processes with
multidimensional time parameter},
booktitle = {Proceedings of the {S}ixth {B}erkeley {S}ymposium on
{M}athematical {S}tatistics and {P}robability ({U}niv.
{C}alifornia, {B}erkeley, {C}alif., 1970/1971), {V}ol.
{II}: {P}robability theory},
pages = {369--374},
year = {1972},
mrclass = {60G15},
mrnumber = {0410880},
mrreviewer = {P. Laurie Davies}
}
@Article{ garthwaite.kadane.ea:05:statistical,
title = {Statistical methods for eliciting probability
distributions},
author = {Garthwaite, Paul H and Kadane, Joseph B and O'Hagan,
Anthony},
journal = {Journal of the American Statistical Association},
volume = {100},
number = {470},
pages = {680--701},
year = {2005},
publisher = {Taylor \& Francis}
}
@Article{ gartner.konig.ea:00:almost,
author = {G\"{a}rtner, J. and K\"{o}nig, W. and Molchanov, S. A.},
title = {Almost sure asymptotics for the continuous parabolic
{A}nderson model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {118},
year = {2000},
number = {4},
pages = {547--573},
issn = {0178-8051},
mrclass = {60H25 (35B40 35R60 60F10 60K35 82B44)},
mrnumber = {1808375},
doi = {10.1007/PL00008754},
url = {https://doi.org/10.1007/PL00008754}
}
@Article{ gartner.konig.ea:07:geometric,
author = {G\"{a}rtner, J\"{u}rgen and K\"{o}nig, Wolfgang and
Molchanov, Stanislav},
title = {Geometric characterization of intermittency in the
parabolic {A}nderson model},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {2},
pages = {439--499},
issn = {0091-1798},
mrclass = {60H25 (35R60 47B80 60F10 82C44)},
mrnumber = {2308585},
mrreviewer = {Peter M\"{o}rters},
doi = {10.1214/009117906000000764},
url = {https://doi.org/10.1214/009117906000000764}
}
@Article{ gartner.konig:00:moment,
author = {G\"{a}rtner, J\"{u}rgen and K\"{o}nig, Wolfgang},
title = {Moment asymptotics for the continuous parabolic {A}nderson
model},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {10},
year = {2000},
number = {1},
pages = {192--217},
issn = {1050-5164},
mrclass = {60K35 (35R60 60F99 60H15 82C44)},
mrnumber = {1765208},
mrreviewer = {Barbara Gentz},
doi = {10.1214/aoap/1019737669},
url = {https://doi.org/10.1214/aoap/1019737669}
}
@InCollection{ gartner.konig:05:parabolic,
author = {G\"{a}rtner, J\"{u}rgen and K\"{o}nig, Wolfgang},
title = {The parabolic {A}nderson model},
booktitle = {Interacting stochastic systems},
pages = {153--179},
publisher = {Springer, Berlin},
year = {2005},
mrclass = {82B44},
mrnumber = {2118574},
mrreviewer = {David Damanik},
doi = {10.1007/3-540-27110-4\_8},
url = {https://doi.org/10.1007/3-540-27110-4_8}
}
@Article{ gartner.molchanov:90:parabolic,
author = {G\"{a}rtner, J. and Molchanov, S. A.},
title = {Parabolic problems for the {A}nderson model. {I}.
{I}ntermittency and related topics},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {132},
year = {1990},
number = {3},
pages = {613--655},
issn = {0010-3616},
mrclass = {82C44},
mrnumber = {1069840},
url = {http://projecteuclid.org/euclid.cmp/1104201232}
}
@Article{ gartner.molchanov:98:parabolic,
author = {G\"{a}rtner, J. and Molchanov, S. A.},
title = {Parabolic problems for the {A}nderson model. {II}.
{S}econd-order asymptotics and structure of high peaks},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {111},
year = {1998},
number = {1},
pages = {17--55},
issn = {0178-8051},
mrclass = {82C44 (47B80 60H25)},
mrnumber = {1626766},
mrreviewer = {Matthias L\"{o}we},
doi = {10.1007/s004400050161},
url = {https://doi.org/10.1007/s004400050161}
}
@Article{ gartner:88:convergence,
author = {G\"{a}rtner, J\"{u}rgen},
title = {Convergence towards {B}urgers' equation and propagation of
chaos for weakly asymmetric exclusion processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {27},
year = {1988},
number = {2},
pages = {233--260},
issn = {0304-4149},
mrclass = {60K35},
mrnumber = {931030},
mrreviewer = {Stefano Olla},
doi = {10.1016/0304-4149(87)90040-8},
url = {https://doi.org/10.1016/0304-4149(87)90040-8}
}
@Article{ garzon.tindel.ea:19:euler,
author = {Garz\'{o}n, Johanna and Tindel, Samy and Torres, Soledad},
title = {Euler scheme for fractional delay stochastic differential
equations by rough paths techniques},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {39},
year = {2019},
number = {3},
pages = {747--763},
issn = {0252-9602},
mrclass = {60H15 (65C30)},
mrnumber = {4066503},
doi = {10.1007/s10473-019-0308-1},
url = {https://doi.org/10.1007/s10473-019-0308-1}
}
@Article{ garzon.torres.ea:12:strong,
author = {Garz\'on, Johanna and Torres, Soledad and Tudor, Ciprian
A.},
title = {A strong convergence to the {R}osenblatt process},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {391},
year = {2012},
number = {2},
pages = {630--647},
issn = {0022-247X,1096-0813},
mrclass = {60G22 (60H07)},
mrnumber = {2903159},
mrreviewer = {Fabrice\ Baudoin},
doi = {10.1016/j.jmaa.2012.02.040},
url = {https://doi.org/10.1016/j.jmaa.2012.02.040}
}
@InProceedings{ gasieniec.radzik:08:memory,
author = {L. Gasieniec and T. Radzik},
title = {Memory efficient anonymous graph exploration},
volume = {5344},
series = {Lecture Notes in Computer Science},
pages = {p.14--29},
year = {2008}
}
@Article{ gassiat.labbe:20:existence,
author = {Gassiat, Paul and Labb\'{e}, Cyril},
title = {Existence of densities for the dynamic {$\Phi^4_3$} model},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {56},
year = {2020},
number = {1},
pages = {326--373},
issn = {0246-0203},
mrclass = {60L40 (60H07 60H15)},
mrnumber = {4058990},
mrreviewer = {Horatio Setiawan Boedihardjo},
doi = {10.1214/19-AIHP963},
url = {https://doi.org/10.1214/19-AIHP963}
}
@Article{ gasteratos.salins.ea:23:moderate,
author = {Gasteratos, Ioannis and Salins, Michael and Spiliopoulos,
Konstantinos},
title = {Moderate deviations for systems of slow-fast stochastic
reaction-diffusion equations},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {11},
year = {2023},
number = {2},
pages = {503--598},
issn = {2194-0401,2194-041X},
mrclass = {60H15 (35K57 60F10 70K70)},
mrnumber = {4588617},
doi = {10.1007/s40072-022-00236-y},
url = {https://doi.org/10.1007/s40072-022-00236-y}
}
@Article{ gasteratos.salins.ea:24:importance,
author = {Gasteratos, Ioannis and Salins, Michael and Spiliopoulos,
Konstantinos},
title = {Importance sampling for stochastic reaction-diffusion
equations in the moderate deviation regime},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {12},
year = {2024},
number = {4},
pages = {2081--2150},
issn = {2194-0401,2194-041X},
mrclass = {65C05 (60G99)},
mrnumber = {4797877},
doi = {10.1007/s40072-023-00320-x},
url = {https://doi.org/10.1007/s40072-023-00320-x}
}
@Article{ gatarek.go-dys:94:on,
author = {G\c{a}tarek, Dariusz and Go\l dys, Beniamin},
title = {On weak solutions of stochastic equations in {H}ilbert
spaces},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {46},
year = {1994},
number = {1-2},
pages = {41--51},
issn = {1045-1129},
mrclass = {60H10 (34F05 47D06 60H15)},
mrnumber = {1787166},
doi = {10.1080/17442509408833868},
url = {https://doi.org/10.1080/17442509408833868}
}
@Article{ gatheral.hsu.ea:12:asymptotics,
author = {Gatheral, Jim and Hsu, Elton P. and Laurence, Peter and
Ouyang, Cheng and Wang, Tai-Ho},
title = {Asymptotics of implied volatility in local volatility
models},
journal = {Math. Finance},
fjournal = {Mathematical Finance. An International Journal of
Mathematics, Statistics and Financial Economics},
volume = {22},
year = {2012},
number = {4},
pages = {591--620},
issn = {0960-1627},
mrclass = {91B70 (60J70 91G20)},
mrnumber = {2968277},
mrreviewer = {Antoine Jacquier},
doi = {10.1111/j.1467-9965.2010.00472.x},
url = {https://doi.org/10.1111/j.1467-9965.2010.00472.x}
}
@Article{ gaudreau-lamarre.ghosal.ea:22:on,
author = {Gaudreau Lamarre, Pierre Yves and Ghosal, Promit and Liao,
Yuchen},
title = {On spatial conditioning of the spectrum of discrete random
{S}chr\"{o}dinger operators},
journal = {J. Spectr. Theory},
fjournal = {Journal of Spectral Theory},
volume = {12},
year = {2022},
number = {3},
pages = {1109--1153},
issn = {1664-039X},
mrclass = {60G55 (47D08 82B44)},
mrnumber = {4578346},
doi = {10.4171/jst/415},
url = {https://doi.org/10.4171/jst/415}
}
@Article{ gaudreau-lamarre.ghosal.ea:23:moment,
author = {Gaudreau Lamarre, Pierre Yves and Ghosal, Promit and Liao,
Yuchen},
title = {Moment intermittency in the {PAM} with asymptotically
singular noise},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {376},
year = {2023},
number = {10},
pages = {7235--7286},
issn = {0002-9947},
mrclass = {60H15 (35A15 60F10)},
mrnumber = {4636689},
mrreviewer = {Jian Song},
doi = {10.1090/tran/8978},
url = {https://doi.org/10.1090/tran/8978}
}
@Article{ gaudreau-lamarre.ghosal.ea:23:rigidity,
author = {Gaudreau Lamarre, Pierre Yves and Ghosal, Promit and Li,
Wenxuan and Liao, Yuchen},
title = {Rigidity of the stochastic {A}iry operator},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2023},
number = {24},
pages = {20701--20724},
issn = {1073-7928},
mrclass = {60H25 (47A10 47B80 60G55)},
mrnumber = {4681269},
doi = {10.1093/imrn/rnac265},
url = {https://doi.org/10.1093/imrn/rnac265}
}
@Article{ gaudreau-lamarre.lin.ea:23:kpz,
author = {Gaudreau Lamarre, Pierre Yves and Lin, Yier and Tsai,
Li-Cheng},
title = {K{PZ} equation with a small noise, deep upper tail and
limit shape},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {185},
year = {2023},
number = {3-4},
pages = {885--920},
issn = {0178-8051,1432-2064},
mrclass = {60H15 (60F10)},
mrnumber = {4556284},
mrreviewer = {Jiang\ Lun\ Wu},
doi = {10.1007/s00440-022-01185-2},
url = {https://doi.org/10.1007/s00440-022-01185-2}
}
@Article{ gaudreau-lamarre:20:on,
author = {Gaudreau Lamarre, Pierre Yves},
title = {On the convergence of random tridiagonal matrices to
stochastic semigroups},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {56},
year = {2020},
number = {4},
pages = {2686--2731},
issn = {0246-0203,1778-7017},
mrclass = {60B20 (47D08 60H25 60J55)},
mrnumber = {4164853},
doi = {10.1214/20-AIHP1055},
url = {https://doi.org/10.1214/20-AIHP1055}
}
@Article{ gaudreau-lamarre:21:semigroups,
author = {Gaudreau Lamarre, Pierre Yves},
title = {Semigroups for one-dimensional {S}chr\"{o}dinger operators
with multiplicative {G}aussian noise},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {26},
year = {2021},
pages = {Paper No. 107, 47},
issn = {1083-6489},
mrclass = {47D08 (60J35)},
mrnumber = {4290509},
mrreviewer = {Federica\ Gregorio},
doi = {10.1214/21-EJP654},
url = {https://doi.org/10.1214/21-EJP654}
}
@Article{ gaudreau-lamarre:22:phase,
author = {Gaudreau Lamarre, Pierre Yves},
title = {Phase transitions in asymptotically singular {A}nderson
{H}amiltonian and parabolic model},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {10},
year = {2022},
number = {4},
pages = {1451--1499},
issn = {2194-0401,2194-041X},
mrclass = {60H15 (35K57 47D08 82B44)},
mrnumber = {4503171},
mrreviewer = {Stefano\ Bonaccorsi},
doi = {10.1007/s40072-021-00212-y},
url = {https://doi.org/10.1007/s40072-021-00212-y}
}
@Article{ gaveau.trauber:82:lintegrale,
author = {Gaveau, Bernard and Trauber, Philip},
title = {L'int\'{e}grale stochastique comme op\'{e}rateur de
divergence dans l'espace fonctionnel},
journal = {J. Functional Analysis},
fjournal = {Journal of Functional Analysis},
volume = {46},
year = {1982},
number = {2},
pages = {230--238},
issn = {0022-1236},
mrclass = {60H05 (58G32)},
mrnumber = {660187},
mrreviewer = {Toshio Yamada},
doi = {10.1016/0022-1236(82)90036-2},
url = {https://doi.org/10.1016/0022-1236(82)90036-2}
}
@Article{ gaw-edzki.kupiainen:83:block,
author = {Gaw\polhk edzki, K. and Kupiainen, A.},
title = {Block spin renormalization group for dipole gas and
{$(\nabla \varphi )^{4}$}},
journal = {Ann. Physics},
fjournal = {Annals of Physics},
volume = {147},
year = {1983},
number = {1},
pages = {198--243},
issn = {0003-4916},
mrclass = {81E25 (81E08 81E15 82A25)},
mrnumber = {707525},
doi = {10.1016/0003-4916(83)90071-4},
url = {https://doi.org/10.1016/0003-4916(83)90071-4}
}
@Article{ gaw-edzki.kupiainen:85:massless,
author = {Gaw\polhk edzki, K. and Kupiainen, A.},
title = {Massless lattice {$\varphi^4_4$} theory: rigorous control
of a renormalizable asymptotically free model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {99},
year = {1985},
number = {2},
pages = {197--252},
issn = {0010-3616},
mrclass = {81E25 (81E15)},
mrnumber = {790736},
mrreviewer = {Giovanni Felder},
url = {http://projecteuclid.org/euclid.cmp/1103942678}
}
@Article{ gawronski:84:on,
author = {Gawronski, Wolfgang},
title = {On the bell-shape of stable densities},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {12},
year = {1984},
number = {1},
pages = {230--242},
issn = {0091-1798},
mrclass = {60E07 (60E10)},
mrnumber = {723742},
mrreviewer = {Gerd Christoph},
url = {http://links.jstor.org/sici?sici=0091-1798(198402)12:1<230:OTBOSD>2.0.CO;2-A&origin=MSN}
}
@Article{ gazi.passino:03:stability,
author = {Gazi, Veysel and Passino, Kevin M.},
title = {Stability analysis of swarms},
journal = {IEEE Trans. Automat. Control},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Automatic Control},
volume = {48},
year = {2003},
number = {4},
pages = {692--697},
issn = {0018-9286},
mrclass = {92D50 (34C60)},
mrnumber = {1968060},
doi = {10.1109/TAC.2003.809765},
url = {https://doi.org/10.1109/TAC.2003.809765}
}
@Article{ geanakoplos.sudderth.ea:14:asymptotic,
author = {Geanakoplos, J. and Sudderth, W. and Zeitouni, O.},
title = {Asymptotic behavior of a stochastic discount rate},
journal = {Sankhya A},
fjournal = {Sankhya A. The Indian Journal of Statistics},
volume = {76},
year = {2014},
number = {1},
pages = {150--157},
issn = {0976-836X,0976-8378},
mrclass = {60F99 (60G42 60G50 60J05)},
mrnumber = {3167776},
mrreviewer = {Hanspeter\ Schmidli},
doi = {10.1007/s13171-013-0037-9},
url = {https://doi.org/10.1007/s13171-013-0037-9}
}
@Article{ gei.manthey:94:comparison,
author = {Gei\ss , Christel and Manthey, Ralf},
title = {Comparison theorems for stochastic differential equations
in finite and infinite dimensions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {53},
year = {1994},
number = {1},
pages = {23--35},
issn = {0304-4149},
mrclass = {60H15 (60H10)},
mrnumber = {1290705},
mrreviewer = {P. Kotelenez},
doi = {10.1016/0304-4149(94)90055-8},
url = {https://doi.org/10.1016/0304-4149(94)90055-8}
}
@Book{ gel-fand.shilov:16:generalized,
author = {Gel{\cprime}fand, I. M. and Shilov, G. E.},
title = {Generalized functions. {V}ol. 1},
note = {Properties and operations, Translated from the 1958
Russian original [ MR0097715] by Eugene Saletan, Reprint of
the 1964 English translation [ MR0166596]},
publisher = {AMS Chelsea Publishing, Providence, RI},
year = {2016},
pages = {xviii+423},
isbn = {978-1-4704-2658-3},
mrclass = {46T30 (01A75)},
mrnumber = {3469458},
doi = {10.1090/chel/377},
url = {https://doi.org/10.1090/chel/377}
}
@Book{ gel-fand.vilenkin:16:generalized,
author = {Gel{\cprime}fand, I. M. and Vilenkin, N. Ya.},
title = {Generalized functions. {V}ol. 4},
note = {Applications of harmonic analysis, Translated from the
1961 Russian original [ MR0146653] by Amiel Feinstein,
Reprint of the 1964 English translation [ MR0173945]},
publisher = {AMS Chelsea Publishing, Providence, RI},
year = {2016},
pages = {xiv+384},
isbn = {978-1-4704-2662-0},
mrclass = {46T30 (01A75)},
mrnumber = {3467631},
doi = {10.1090/chel/380},
url = {https://doi.org/10.1090/chel/380}
}
@Article{ gel-fand:63:some,
author = {Gel{\cprime}fand, I. M.},
title = {Some problems in the theory of quasilinear equations},
journal = {Amer. Math. Soc. Transl. (2)},
fjournal = {American Mathematical Society Translations},
volume = {29},
year = {1963},
pages = {295--381},
issn = {0065-9290},
mrclass = {35.00},
mrnumber = {0153960}
}
@Article{ gelbaum:14:fractional,
author = {Gelbaum, Zachary A.},
title = {Fractional {B}rownian fields over manifolds},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {366},
year = {2014},
number = {9},
pages = {4781--4814},
issn = {0002-9947},
mrclass = {60G60 (58J35 60G22)},
mrnumber = {3217700},
mrreviewer = {Serge Cohen},
doi = {10.1090/S0002-9947-2014-06106-0},
url = {https://doi.org/10.1090/S0002-9947-2014-06106-0}
}
@Book{ gelfand.shilov:64:generalized,
author = {Gel'fand, I. M. and Shilov, G. E.},
title = {Generalized functions. {V}ol. {I}: {P}roperties and
operations},
note = {Translated by Eugene Saletan},
publisher = {Academic Press, New York-London},
year = {1964},
pages = {xviii+423},
mrclass = {46.40},
mrnumber = {0166596}
}
@Article{ gelfand.smith:90:sampling-based,
title = {Sampling-based approaches to calculating marginal
densities},
author = {Gelfand, Alan E and Smith, Adrian FM},
journal = {Journal of the American Statistical Association},
volume = {85},
number = {410},
pages = {398--409},
year = {1990},
publisher = {Taylor \& Francis}
}
@Book{ gelfand.vilenkin:64:generalized,
author = {Gel'fand, I. M. and Vilenkin, N. Ya.},
title = {Generalized functions. {V}ol. 4: {A}pplications of
harmonic analysis},
note = {Translated by Amiel Feinstein},
publisher = {Academic Press, New York-London},
year = {1964},
pages = {xiv+384},
mrclass = {46.00 (46.40)},
mrnumber = {173945},
mrreviewer = {J. L. B. Cooper}
}
@Article{ geman.horowitz.ea:84:local,
author = {Geman, Donald and Horowitz, Joseph and Rosen, Jay},
title = {A local time analysis of intersections of {B}rownian paths
in the plane},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {12},
year = {1984},
number = {1},
pages = {86--107},
issn = {0091-1798,2168-894X},
mrclass = {60G15 (60G17 60G60 60J65)},
mrnumber = {723731},
mrreviewer = {Robert\ J.\ Adler},
url = {http://links.jstor.org/sici?sici=0091-1798(198402)12:1<86:ALTAOI>2.0.CO;2-M&origin=MSN}
}
@Article{ geman.horowitz:80:occupation,
author = {Geman, Donald and Horowitz, Joseph},
title = {Occupation densities},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {8},
year = {1980},
number = {1},
pages = {1--67},
issn = {0091-1798},
mrclass = {60J55 (26A27 60G15 60G17)},
mrnumber = {556414},
mrreviewer = {Simeon M. Berman},
url = {http://links.jstor.org/sici?sici=0091-1798(198002)8:1<1:OD>2.0.CO;2-M&origin=MSN}
}
@Article{ geman:80:limit,
author = {Geman, Stuart},
title = {A limit theorem for the norm of random matrices},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {8},
year = {1980},
number = {2},
pages = {252--261},
issn = {0091-1798},
mrclass = {60F15},
mrnumber = {566592},
mrreviewer = {V. L. Girko},
url = {http://links.jstor.org/sici?sici=0091-1798(198004)8:2<252:ALTFTN>2.0.CO;2-4&origin=MSN}
}
@Article{ geng.ouyang.ea:22:precise,
author = {Geng, Xi and Ouyang, Cheng and Tindel, Samy},
title = {Precise local estimates for differential equations driven
by fractional {B}rownian motion: hypoelliptic case},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {50},
year = {2022},
number = {2},
pages = {649--687},
issn = {0091-1798},
mrclass = {60H10 (60G15 60G22 60H07)},
mrnumber = {4399160},
mrreviewer = {Xiliang Fan},
doi = {10.1214/21-aop1542},
url = {https://doi.org/10.1214/21-aop1542}
}
@Article{ geng.ouyang.ea:23:precise,
author = {Geng, Xi and Ouyang, Cheng and Tindel, Samy},
title = {Precise local estimates for differential equations driven
by fractional {B}rownian motion: elliptic case},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {36},
year = {2023},
number = {3},
pages = {1341--1367},
issn = {0894-9840,1572-9230},
mrclass = {60H10 (60G15 60H07)},
mrnumber = {4621067},
doi = {10.1007/s10959-022-01208-7},
url = {https://doi.org/10.1007/s10959-022-01208-7}
}
@Article{ genovese.luca.ea:16:gibbs,
author = {Genovese, Giuseppe and Luc\`a, Renato and Valeri, Daniele},
title = {Gibbs measures associated to the integrals of motion of
the periodic derivative nonlinear {S}chr\"{o}dinger
equation},
journal = {Selecta Math. (N.S.)},
fjournal = {Selecta Mathematica. New Series},
volume = {22},
year = {2016},
number = {3},
pages = {1663--1702},
issn = {1022-1824},
mrclass = {35Q55 (35B10 37K05 37K10 37K30 37L50)},
mrnumber = {3518561},
doi = {10.1007/s00029-016-0225-2},
url = {https://doi.org/10.1007/s00029-016-0225-2}
}
@Article{ georgiou.joseph.ea:15:semi-discrete,
author = {Georgiou, Nicos and Joseph, Mathew and Khoshnevisan, Davar
and Shiu, Shang-Yuan},
title = {Semi-discrete semi-linear parabolic {SPDE}s},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {25},
year = {2015},
number = {5},
pages = {2959--3006},
issn = {1050-5164},
mrclass = {60J60 (47B80 60H25 60K35 60K37)},
mrnumber = {3375892},
mrreviewer = {Xinghua Zheng},
doi = {10.1214/14-AAP1065},
url = {https://doi.org/10.1214/14-AAP1065}
}
@Article{ georgiou.khoshnevisan.ea:18:dimension,
author = {Georgiou, Nicos and Khoshnevisan, Davar and Kim, Kunwoo
and Ramos, Alex D.},
title = {The dimension of the range of a transient random walk},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {23},
year = {2018},
pages = {Paper No. 83, 31},
mrclass = {60G50 (28A80 60J45 60J80)},
mrnumber = {3858911},
mrreviewer = {Bal\'{a}zs B\'{a}r\'{a}ny},
doi = {10.1214/18-EJP201},
url = {https://doi.org/10.1214/18-EJP201}
}
@Article{ georgiou.kumar.ea:10:tasep,
author = {Georgiou, Nicos and Kumar, Rohini and Sepp\"{a}l\"{a}inen,
Timo},
title = {T{ASEP} with discontinuous jump rates},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {7},
year = {2010},
pages = {293--318},
mrclass = {60K35},
mrnumber = {2732897},
mrreviewer = {Daniel Remenik}
}
@Article{ georgiou.rassoul-agha.ea:15:ratios,
author = {Georgiou, Nicos and Rassoul-Agha, Firas and
Sepp\"{a}l\"{a}inen, Timo and Yilmaz, Atilla},
title = {Ratios of partition functions for the log-gamma polymer},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {5},
pages = {2282--2331},
issn = {0091-1798},
mrclass = {60K35 (60K37)},
mrnumber = {3395462},
mrreviewer = {Dimitri Petritis},
doi = {10.1214/14-AOP933},
url = {https://doi.org/10.1214/14-AOP933}
}
@Article{ georgiou.rassoul-agha.ea:16:variational,
author = {Georgiou, Nicos and Rassoul-Agha, Firas and
Sepp\"{a}l\"{a}inen, Timo},
title = {Variational formulas and cocycle solutions for directed
polymer and percolation models},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {346},
year = {2016},
number = {2},
pages = {741--779},
issn = {0010-3616},
mrclass = {82D60 (82C43)},
mrnumber = {3535900},
doi = {10.1007/s00220-016-2613-z},
url = {https://doi.org/10.1007/s00220-016-2613-z}
}
@Article{ georgiou.rassoul-agha.ea:17:geodesics,
author = {Georgiou, Nicos and Rassoul-Agha, Firas and
Sepp\"{a}l\"{a}inen, Timo},
title = {Geodesics and the competition interface for the corner
growth model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {169},
year = {2017},
number = {1-2},
pages = {223--255},
issn = {0178-8051},
mrclass = {60K35 (60K37)},
mrnumber = {3704769},
mrreviewer = {Daniel Boivin},
doi = {10.1007/s00440-016-0734-0},
url = {https://doi.org/10.1007/s00440-016-0734-0}
}
@Article{ georgiou.rassoul-agha.ea:17:stationary,
author = {Georgiou, Nicos and Rassoul-Agha, Firas and
Sepp\"{a}l\"{a}inen, Timo},
title = {Stationary cocycles and {B}usemann functions for the
corner growth model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {169},
year = {2017},
number = {1-2},
pages = {177--222},
issn = {0178-8051},
mrclass = {60K35 (60K37)},
mrnumber = {3704768},
mrreviewer = {Daniel Boivin},
doi = {10.1007/s00440-016-0729-x},
url = {https://doi.org/10.1007/s00440-016-0729-x}
}
@Article{ georgiou.seppalainen:13:large,
author = {Georgiou, Nicos and Sepp\"{a}l\"{a}inen, Timo},
title = {Large deviation rate functions for the partition function
in a log-gamma distributed random potential},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {6},
pages = {4248--4286},
issn = {0091-1798},
mrclass = {60K37 (60F10 60K35)},
mrnumber = {3161474},
mrreviewer = {Marcel Ortgiese},
doi = {10.1214/12-AOP768},
url = {https://doi.org/10.1214/12-AOP768}
}
@Article{ gerasimovics.hairer:19:hormanders,
author = {Gerasimovi\v{c}s, Andris and Hairer, Martin},
title = {H\"{o}rmander's theorem for semilinear {SPDE}s},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 132, 56},
mrclass = {60H15 (60H05 60H07 60L20)},
mrnumber = {4040992},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1214/19-ejp387},
url = {https://doi.org/10.1214/19-ejp387}
}
@Article{ gerencser.hairer:19:singular,
author = {Gerencs\'{e}r, M\'{a}t\'{e} and Hairer, Martin},
title = {Singular {SPDE}s in domains with boundaries},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {173},
year = {2019},
number = {3-4},
pages = {697--758},
issn = {0178-8051},
mrclass = {60H17 (35K59 35K67 35R60 60L30)},
mrnumber = {3936145},
mrreviewer = {Torstein K. Nilssen},
doi = {10.1007/s00440-018-0841-1},
url = {https://doi.org/10.1007/s00440-018-0841-1}
}
@Article{ gerencser.hairer:19:solution,
author = {Gerencs\'{e}r, M\'{a}t\'{e} and Hairer, Martin},
title = {A solution theory for quasilinear singular {SPDE}s},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {72},
year = {2019},
number = {9},
pages = {1983--2005},
issn = {0010-3640},
mrclass = {60H17 (35K59 35R60 60L30)},
mrnumber = {3987723},
mrreviewer = {D. Erhard},
doi = {10.1002/cpa.21816},
url = {https://doi.org/10.1002/cpa.21816}
}
@Article{ gerolla.hairer.ea:23:fluctuations,
title = {Fluctuations of stochastic PDEs with long-range
correlations},
author = {Luca Gerolla and Martin Hairer and Xue-Mei Li},
year = {2023},
month = {March},
journal = {Preprint arXiv:2303.09811},
url = {http://arXiv.org/abs/2303.09811}
}
@Article{ gerolla.hairer.ea:24:scaling,
title = {Scaling limit of the KPZ equation with non-integrable
spatial correlations},
author = {Luca Gerolla and Martin Hairer and Xue-Mei Li},
year = {2024},
month = {July},
journal = {Preprint arXiv:2407.13215},
url = {http://arXiv.org/abs/2407.13215}
}
@Article{ gerolla.hairer.ea:25:fluctuations,
author = {Gerolla, Luca and Hairer, Martin and Li, Xue-Mei},
title = {Fluctuations of stochastic {PDE}s with long-range
correlations},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {35},
year = {2025},
number = {2},
pages = {1198--1232},
issn = {1050-5164,2168-8737},
mrclass = {60H15 (60F05)},
mrnumber = {4897759},
doi = {10.1214/24-aap2140},
url = {https://doi.org/10.1214/24-aap2140}
}
@Article{ gershenzon.lacroix-a-chez-toine.ea:23:on-site,
author = {Gershenzon, I. and Lacroix-A-Chez-Toine, B. and Raz, O.
and Subag, E. and Zeitouni, O.},
title = {On-site potential creates complexity in systems with
disordered coupling},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {130},
year = {2023},
number = {23},
pages = {Paper No. 237103, 8},
issn = {0031-9007,1079-7114},
mrclass = {82B44},
mrnumber = {4608964},
doi = {10.1103/physrevlett.130.237103},
url = {https://doi.org/10.1103/physrevlett.130.237103}
}
@Article{ gertner.freuidlin:79:propagation,
author = {Gertner, Ju. and Freu{i}dlin, M. I.},
title = {The propagation of concentration waves in periodic and
random media},
journal = {Dokl. Akad. Nauk SSSR},
fjournal = {Doklady Akademii Nauk SSSR},
volume = {249},
year = {1979},
number = {3},
pages = {521--525},
issn = {0002-3264},
mrclass = {80A20 (35R60 65P05 82A42)},
mrnumber = {553200},
mrreviewer = {V. M. Babich}
}
@Article{ gess.ouyang.ea:20:density,
author = {Gess, Benjamin and Ouyang, Cheng and Tindel, Samy},
title = {Density bounds for solutions to differential equations
driven by {G}aussian rough paths},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {33},
year = {2020},
number = {2},
pages = {611--648},
issn = {0894-9840},
mrclass = {60L20 (60G15 60H07 60H10)},
mrnumber = {4091589},
mrreviewer = {Keisuke Hara},
doi = {10.1007/s10959-019-00967-0},
url = {https://doi.org/10.1007/s10959-019-00967-0}
}
@Article{ gessel:90:symmetric,
author = {Gessel, Ira M.},
title = {Symmetric functions and {P}-recursiveness},
journal = {J. Combin. Theory Ser. A},
fjournal = {Journal of Combinatorial Theory. Series A},
volume = {53},
year = {1990},
number = {2},
pages = {257--285},
issn = {0097-3165},
mrclass = {05E05 (05A15)},
mrnumber = {1041448},
mrreviewer = {Dennis White},
doi = {10.1016/0097-3165(90)90060-A},
url = {https://doi.org/10.1016/0097-3165(90)90060-A}
}
@Article{ gesztesy.mitrea:11:description,
author = {Gesztesy, Fritz and Mitrea, Marius},
title = {A description of all self-adjoint extensions of the
{L}aplacian and {K}reu{i}n-type resolvent formulas on
non-smooth domains},
journal = {J. Anal. Math.},
fjournal = {Journal d'Analyse Math\'{e}matique},
volume = {113},
year = {2011},
pages = {53--172},
issn = {0021-7670},
mrclass = {47F05 (35P30 47B25)},
mrnumber = {2788354},
doi = {10.1007/s11854-011-0002-2},
url = {https://doi.org/10.1007/s11854-011-0002-2}
}
@Article{ gesztesy.simon:00:inverse,
author = {Gesztesy, Fritz and Simon, Barry},
title = {Inverse spectral analysis with partial information on the
potential. {II}. {T}he case of discrete spectrum},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {352},
year = {2000},
number = {6},
pages = {2765--2787},
issn = {0002-9947,1088-6850},
mrclass = {34A55 (34B24 34L40 47E05)},
mrnumber = {1694291},
mrreviewer = {Vjacheslav\ A.\ Yurko},
doi = {10.1090/S0002-9947-99-02544-1},
url = {https://doi.org/10.1090/S0002-9947-99-02544-1}
}
@Article{ ghirlanda.guerra:98:general,
author = {Ghirlanda, Stefano and Guerra, Francesco},
title = {General properties of overlap probability distributions in
disordered spin systems. {T}owards {P}arisi
ultrametricity},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {31},
year = {1998},
number = {46},
pages = {9149--9155},
issn = {0305-4470},
mrclass = {82B44},
mrnumber = {1662161},
doi = {10.1088/0305-4470/31/46/006},
url = {https://doi.org/10.1088/0305-4470/31/46/006}
}
@Article{ ghosal.lin:23:lyapunov,
author = {Ghosal, Promit and Lin, Yier},
title = {Lyapunov exponents of the {SHE} under general initial
data},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {59},
year = {2023},
number = {1},
pages = {476--502},
issn = {0246-0203},
mrclass = {60H15 (60F10 60H40)},
mrnumber = {4533737},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1214/22-aihp1253},
url = {https://doi.org/10.1214/22-aihp1253}
}
@Article{ ghosal.mukherjee:20:joint,
author = {Ghosal, Promit and Mukherjee, Sumit},
title = {Joint estimation of parameters in {I}sing model},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {48},
year = {2020},
number = {2},
pages = {785--810},
issn = {0090-5364},
mrclass = {62F12 (60F10 60K35)},
mrnumber = {4102676},
mrreviewer = {Wolfgang Wefelmeyer},
doi = {10.1214/19-AOS1822},
url = {https://doi.org/10.1214/19-AOS1822}
}
@Article{ ghosal.nutz.ea:22:stability,
author = {Ghosal, Promit and Nutz, Marcel and Bernton, Espen},
title = {Stability of entropic optimal transport and
{S}chr\"{o}dinger bridges},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {283},
year = {2022},
number = {9},
pages = {Paper No. 109622, 22},
issn = {0022-1236},
mrclass = {49Q22 (49K40)},
mrnumber = {4460341},
mrreviewer = {Robert Niedzialomski},
doi = {10.1016/j.jfa.2022.109622},
url = {https://doi.org/10.1016/j.jfa.2022.109622}
}
@Article{ ghosal.remy.ea:24:probabilistic,
author = {Ghosal, Promit and Remy, Guillaume and Sun, Xin and Sun,
Yi},
title = {Probabilistic conformal blocks for {L}iouville {CFT} on
the torus},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {173},
year = {2024},
number = {6},
pages = {1085--1175},
issn = {0012-7094},
mrclass = {81T40 (60D99)},
mrnumber = {4748792},
doi = {10.1215/00127094-2023-0031},
url = {https://doi.org/10.1215/00127094-2023-0031}
}
@Article{ ghosal.sen:17:on,
author = {Ghosal, Promit and Sen, Bodhisattva},
title = {On univariate convex regression},
journal = {Sankhya A},
fjournal = {Sankhya A. The Indian Journal of Statistics},
volume = {79},
year = {2017},
number = {2},
pages = {215--253},
issn = {0976-836X},
mrclass = {62G08 (62G05 62G20)},
mrnumber = {3707421},
mrreviewer = {Gilles Stupfler},
doi = {10.1007/s13171-017-0104-8},
url = {https://doi.org/10.1007/s13171-017-0104-8}
}
@Article{ ghosal.sen:22:multivariate,
author = {Ghosal, Promit and Sen, Bodhisattva},
title = {Multivariate ranks and quantiles using optimal transport:
consistency, rates and nonparametric testing},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {50},
year = {2022},
number = {2},
pages = {1012--1037},
issn = {0090-5364},
mrclass = {62G30 (35J96 60F15 62G20)},
mrnumber = {4404927},
doi = {10.1214/21-aos2136},
url = {https://doi.org/10.1214/21-aos2136}
}
@Article{ ghosal.silva:23:universality,
author = {Ghosal, Promit and Silva, Guilherme L. F.},
title = {Universality for multiplicative statistics of {H}ermitian
random matrices and the integro-differential {P}ainlev\'{e}
{II} equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {397},
year = {2023},
number = {3},
pages = {1237--1307},
issn = {0010-3616},
mrclass = {60B20 (15B52 30E25 31A15 33C47 34M55)},
mrnumber = {4541921},
doi = {10.1007/s00220-022-04518-3},
url = {https://doi.org/10.1007/s00220-022-04518-3}
}
@Article{ ghosal:19:correlation,
author = {Ghosal, Promit},
title = {Correlation functions of the {P}faffian {S}chur process
using {M}acdonald difference operators},
journal = {SIGMA Symmetry Integrability Geom. Methods Appl.},
fjournal = {SIGMA. Symmetry, Integrability and Geometry. Methods and
Applications},
volume = {15},
year = {2019},
pages = {Paper No. 092, 37},
mrclass = {60C05 (05E05)},
mrnumber = {4036103},
mrreviewer = {Maciej Do\l \polhk ega},
doi = {10.3842/SIGMA.2019.092},
url = {https://doi.org/10.3842/SIGMA.2019.092}
}
@Book{ ghosal:20:time,
author = {Ghosal, Promit},
title = {Time {E}volution of the {K}ardar-{P}arisi-{Z}hang
{E}quation},
note = {Thesis (Ph.D.)--Columbia University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2020},
pages = {193},
isbn = {979-8643-17522-3},
mrclass = {Thesis},
mrnumber = {4106405},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:27956048}
}
@Article{ ghosh.krishnapur.ea:16:continuum,
author = {Ghosh, Subhroshekhar and Krishnapur, Manjunath and Peres,
Yuval},
title = {Continuum percolation for {G}aussian zeroes and {G}inibre
eigenvalues},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {5},
pages = {3357--3384},
issn = {0091-1798},
mrclass = {60D05 (60G55 60K35)},
mrnumber = {3551199},
mrreviewer = {Christian Hirsch},
doi = {10.1214/15-AOP1051},
url = {https://doi.org/10.1214/15-AOP1051}
}
@Article{ ghosh.peres:17:rigidity,
author = {Ghosh, Subhroshekhar and Peres, Yuval},
title = {Rigidity and tolerance in point processes: {G}aussian
zeros and {G}inibre eigenvalues},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {166},
year = {2017},
number = {10},
pages = {1789--1858},
issn = {0012-7094},
mrclass = {60G55 (60B20)},
mrnumber = {3679882},
doi = {10.1215/00127094-2017-0002},
url = {https://doi.org/10.1215/00127094-2017-0002}
}
@Article{ ghosh.zeitouni:16:large,
author = {Ghosh, Subhroshekhar and Zeitouni, Ofer},
title = {Large deviations for zeros of random polynomials with
i.i.d. exponential coefficients},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2016},
number = {5},
pages = {1308--1347},
issn = {1073-7928,1687-0247},
mrclass = {60F10 (60G99)},
mrnumber = {3509927},
mrreviewer = {Maxim\ L.\ Yattselev},
doi = {10.1093/imrn/rnv174},
url = {https://doi.org/10.1093/imrn/rnv174}
}
@Book{ ghosh:13:rigidity,
author = {Ghosh, Subhroshekhar},
title = {Rigidity {P}henomena in random point sets},
note = {Thesis (Ph.D.)--University of California, Berkeley},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2013},
pages = {134},
isbn = {978-1303-37299-5},
mrclass = {Thesis},
mrnumber = {3192798},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3593834}
}
@Article{ ghosh:15:determinantal,
author = {Ghosh, Subhroshekhar},
title = {Determinantal processes and completeness of random
exponentials: the critical case},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {163},
year = {2015},
number = {3-4},
pages = {643--665},
issn = {0178-8051},
mrclass = {60G55 (42C15 42C30 42C40 60G57 60G60)},
mrnumber = {3418752},
doi = {10.1007/s00440-014-0601-9},
url = {https://doi.org/10.1007/s00440-014-0601-9}
}
@Article{ ghosh:71:new,
author = {Ghosh, J. K.},
title = {A new proof of the {B}ahadur representation of quantiles
and an application},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {42},
year = {1971},
pages = {1957--1961},
issn = {0003-4851},
mrclass = {62G99},
mrnumber = {297071},
doi = {10.1214/aoms/1177693063},
url = {https://doi.org/10.1214/aoms/1177693063}
}
@Article{ ghoul.masmoudi:18:minimal,
author = {Ghoul, Tej-Eddine and Masmoudi, Nader},
title = {Minimal mass blowup solutions for the
{P}atlak-{K}eller-{S}egel equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {71},
year = {2018},
number = {10},
pages = {1957--2015},
issn = {0010-3640},
mrclass = {35M31 (35B44 35Q92 92C17)},
mrnumber = {3861072},
mrreviewer = {Yifu Wang},
doi = {10.1002/cpa.21787},
url = {https://doi.org/10.1002/cpa.21787}
}
@Article{ giacomin.lacoin.ea:10:hierarchical,
author = {Giacomin, Giambattista and Lacoin, Hubert and Toninelli,
Fabio Lucio},
title = {Hierarchical pinning models, quadratic maps and quenched
disorder},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {147},
year = {2010},
number = {1-2},
pages = {185--216},
issn = {0178-8051},
mrclass = {60K35 (37N20 82B05 82B44)},
mrnumber = {2594351},
mrreviewer = {Da-Quan Jiang},
doi = {10.1007/s00440-009-0205-y},
url = {https://doi.org/10.1007/s00440-009-0205-y}
}
@Article{ giacomin.lacoin.ea:10:marginal,
author = {Giacomin, Giambattista and Lacoin, Hubert and Toninelli,
Fabio},
title = {Marginal relevance of disorder for pinning models},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {63},
year = {2010},
number = {2},
pages = {233--265},
issn = {0010-3640,1097-0312},
mrclass = {60K35 (60F17)},
mrnumber = {2588461},
doi = {10.1002/cpa.20301},
url = {https://doi.org/10.1002/cpa.20301}
}
@Article{ giacomin.lacoin.ea:11:disorder,
author = {Giacomin, Giambattista and Lacoin, Hubert and Toninelli,
Fabio Lucio},
title = {Disorder relevance at marginality and critical point
shift},
journal = {Ann. Inst. Henri Poincar\'e{} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'e{} Probabilit\'es et
Statistiques},
volume = {47},
year = {2011},
number = {1},
pages = {148--175},
issn = {0246-0203,1778-7017},
mrclass = {60K35 (60E15 60K37 82B27 82B44)},
mrnumber = {2779401},
mrreviewer = {Laurent\ Miclo},
doi = {10.1214/10-AIHP366},
url = {https://doi.org/10.1214/10-AIHP366}
}
@Article{ giacomin.lacoin:18:disorder,
author = {Giacomin, Giambattista and Lacoin, Hubert},
title = {Disorder and wetting transition: the pinned harmonic
crystal in dimension three or larger},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {28},
year = {2018},
number = {1},
pages = {577--606},
issn = {1050-5164,2168-8737},
mrclass = {60K35 (60K37 82B27 82B44 82D25)},
mrnumber = {3770884},
doi = {10.1214/17-AAP1312},
url = {https://doi.org/10.1214/17-AAP1312}
}
@Article{ giacomin.lacoin:18:pinning,
author = {Giacomin, Giambattista and Lacoin, Hubert},
title = {Pinning and disorder relevance for the lattice {G}aussian
free field},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {20},
year = {2018},
number = {1},
pages = {199--257},
issn = {1435-9855,1435-9863},
mrclass = {60K35 (60G15 82B24 82B27 82B44)},
mrnumber = {3743241},
mrreviewer = {Yoshihiro\ Abe},
doi = {10.4171/JEMS/764},
url = {https://doi.org/10.4171/JEMS/764}
}
@Article{ giacomin.lacoin:22:disordered,
author = {Giacomin, Giambattista and Lacoin, Hubert},
title = {The disordered lattice free field pinning model
approaching criticality},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {50},
year = {2022},
number = {4},
pages = {1478--1537},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (60K37 82B27 82B44)},
mrnumber = {4420425},
doi = {10.1214/22-aop1566},
url = {https://doi.org/10.1214/22-aop1566}
}
@Article{ giacomin.lebowitz.ea:00:macroscopic,
author = {Giacomin, Giambattista and Lebowitz, Joel L. and Marra,
Rossana},
title = {Macroscopic evolution of particle systems with short- and
long-range interactions},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {13},
year = {2000},
number = {6},
pages = {2143--2162},
issn = {0951-7715},
mrclass = {82C22 (60K35)},
mrnumber = {1794850},
mrreviewer = {Ellen Saada},
doi = {10.1088/0951-7715/13/6/314},
url = {https://doi.org/10.1088/0951-7715/13/6/314}
}
@InCollection{ giacomin.lebowitz.ea:99:deterministic,
author = {Giacomin, Giambattista and Lebowitz, Joel L. and Presutti,
Errico},
title = {Deterministic and stochastic hydrodynamic equations
arising from simple microscopic model systems},
booktitle = {Stochastic partial differential equations: six
perspectives},
series = {Math. Surveys Monogr.},
volume = {64},
pages = {107--152},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1999},
mrclass = {60K35 (35R60 60H15 76A02 76M35 82B05 82C05)},
mrnumber = {1661764},
mrreviewer = {Pablo A. Ferrari},
doi = {10.1090/surv/064/03},
url = {https://doi.org/10.1090/surv/064/03}
}
@Article{ giacomin.lebowitz:97:phase,
author = {Giacomin, Giambattista and Lebowitz, Joel L.},
title = {Phase segregation dynamics in particle systems with long
range interactions. {I}. {M}acroscopic limits},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {87},
year = {1997},
number = {1-2},
pages = {37--61},
issn = {0022-4715},
mrclass = {82C24 (82C22)},
mrnumber = {1453735},
mrreviewer = {Rossana Marra},
doi = {10.1007/BF02181479},
url = {https://doi.org/10.1007/BF02181479}
}
@Article{ giacomin.lebowitz:98:phase,
author = {Giacomin, Giambattista and Lebowitz, Joel L.},
title = {Phase segregation dynamics in particle systems with long
range interactions. {II}. {I}nterface motion},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {58},
year = {1998},
number = {6},
pages = {1707--1729},
issn = {0036-1399},
mrclass = {35Q99 (35B40 35K55 45K05 82C22 82C24)},
mrnumber = {1638739},
mrreviewer = {Rossana Marra},
doi = {10.1137/S0036139996313046},
url = {https://doi.org/10.1137/S0036139996313046}
}
@Article{ giacomin.olla.ea:01:equilibrium,
author = {Giacomin, Giambattista and Olla, Stefano and Spohn,
Herbert},
title = {Equilibrium fluctuations for {$\nabla\phi$} interface
model},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {29},
year = {2001},
number = {3},
pages = {1138--1172},
issn = {0091-1798},
mrclass = {60K35 (82C24)},
mrnumber = {1872740},
mrreviewer = {Pablo A. Ferrari},
doi = {10.1214/aop/1015345600},
url = {https://doi.org/10.1214/aop/1015345600}
}
@Book{ giacomin:07:random,
author = {Giacomin, Giambattista},
title = {Random polymer models},
publisher = {Imperial College Press, London},
year = {2007},
pages = {xvi+242},
isbn = {978-1-86094-786-5; 1-86094-786-7},
mrclass = {82B44 (82-02 82B41 82D60)},
mrnumber = {2380992},
mrreviewer = {Stuart G. Whittington},
doi = {10.1142/9781860948299},
url = {https://doi.org/10.1142/9781860948299}
}
@Article{ giga.kohn:87:characterizing,
author = {Giga, Yoshikazu and Kohn, Robert V.},
title = {Characterizing blowup using similarity variables},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {36},
year = {1987},
number = {1},
pages = {1--40},
issn = {0022-2518},
mrclass = {35B40},
mrnumber = {876989},
mrreviewer = {J. W. Bebernes},
doi = {10.1512/iumj.1987.36.36001},
url = {https://doi.org/10.1512/iumj.1987.36.36001}
}
@Article{ giga.sohr:91:abstract,
author = {Giga, Yoshikazu and Sohr, Hermann},
title = {Abstract {$L^p$} estimates for the {C}auchy problem with
applications to the {N}avier-{S}tokes equations in exterior
domains},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {102},
year = {1991},
number = {1},
pages = {72--94},
issn = {0022-1236},
mrclass = {35K22 (35Q30 76D05)},
mrnumber = {1138838},
mrreviewer = {Long An Ying},
doi = {10.1016/0022-1236(91)90136-S},
url = {https://doi.org/10.1016/0022-1236(91)90136-S}
}
@Article{ giga:81:analyticity,
author = {Giga, Yoshikazu},
title = {Analyticity of the semigroup generated by the {S}tokes
operator in {$L_{r}$} spaces},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {178},
year = {1981},
number = {3},
pages = {297--329},
issn = {0025-5874},
mrclass = {47D05 (35Q20)},
mrnumber = {635201},
mrreviewer = {A. Pazy},
doi = {10.1007/BF01214869},
url = {https://doi.org/10.1007/BF01214869}
}
@Article{ giga:85:domains,
author = {Giga, Yoshikazu},
title = {Domains of fractional powers of the {S}tokes operator in
{$L_r$} spaces},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {89},
year = {1985},
number = {3},
pages = {251--265},
issn = {0003-9527},
mrclass = {47F05 (35Q10 46M35)},
mrnumber = {786549},
mrreviewer = {Tosio Kato},
doi = {10.1007/BF00276874},
url = {https://doi.org/10.1007/BF00276874}
}
@Article{ giga:95:interior,
author = {Giga, Yoshikazu},
title = {Interior derivative blow-up for quasilinear parabolic
equations},
journal = {Discrete Contin. Dynam. Systems},
fjournal = {Discrete and Continuous Dynamical Systems},
volume = {1},
year = {1995},
number = {3},
pages = {449--461},
issn = {1078-0947},
mrclass = {35K60 (35B05)},
mrnumber = {1355884},
mrreviewer = {Dian K. Palagachev},
doi = {10.3934/dcds.1995.1.449},
url = {https://doi.org/10.3934/dcds.1995.1.449}
}
@Book{ gihman.skorohod:72:stochastic,
author = {G\={i}hman, u{I}. \={I}. and Skorohod, A. V.},
title = {Stochastic differential equations},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete [Results
in Mathematics and Related Areas], Band 72},
note = {Translated from the Russian by Kenneth Wickwire},
publisher = {Springer-Verlag, New York-Heidelberg},
year = {1972},
pages = {viii+354},
mrclass = {60H10 (34F05)},
mrnumber = {346904}
}
@Book{ gikhman.skorokhod:82:stokhasticheskie-differentsial-nye-uravneniya-i-ikh-prilozheniya,
author = {Gikhman, I. I. and Skorokhod, A. V.},
title = {{\cyr Stokhasticheskie differentsial{\cprime}nye uravneniya
i ikh prilozheniya}},
publisher = {``Naukova Dumka'', Kiev},
year = {1982},
pages = {612},
mrclass = {60-02 (34F05 35R60 60Gxx 60H10)},
mrnumber = {678374},
mrreviewer = {Yu. M. Kabanov}
}
@Book{ gilbarg.trudinger:01:elliptic,
author = {Gilbarg, David and Trudinger, Neil S.},
title = {Elliptic partial differential equations of second order},
series = {Classics in Mathematics},
note = {Reprint of the 1998 edition},
publisher = {Springer-Verlag, Berlin},
year = {2001},
pages = {xiv+517},
isbn = {3-540-41160-7},
mrclass = {35-02 (35Jxx)},
mrnumber = {1814364}
}
@Article{ gill.johansen:90:survey,
author = {Gill, Richard D. and Johansen, S\o ren},
title = {A survey of product-integration with a view toward
application in survival analysis},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {18},
year = {1990},
number = {4},
pages = {1501--1555},
issn = {0090-5364},
mrclass = {60J27 (60H20 62G05)},
mrnumber = {1074422},
doi = {10.1214/aos/1176347865},
url = {https://doi.org/10.1214/aos/1176347865}
}
@Article{ gillespie:00:chemical,
author = {Gillespie, Daniel T.},
title = {The chemical Langevin equation},
journal = {The Journal of Chemical Physics},
volume = {113},
number = {1},
pages = {297-306},
year = {2000},
month = {07},
issn = {0021-9606},
doi = {10.1063/1.481811},
url = {https://doi.org/10.1063/1.481811},
eprint = {https://pubs.aip.org/aip/jcp/article-pdf/113/1/297/19042305/297_1_online.pdf}
}
@Article{ gilliland.levental.ea:07:note,
author = {Gilliland, Dennis and Levental, Shlomo and Xiao, Yimin},
title = {A note on absorption probabilities in one-dimensional
random walk via complex-valued martingales},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {77},
year = {2007},
number = {11},
pages = {1098--1105},
issn = {0167-7152,1879-2103},
mrclass = {60G42 (60G40 60G50)},
mrnumber = {2395066},
mrreviewer = {Adam\ Os\polhk{e}kowski},
doi = {10.1016/j.spl.2007.01.016},
url = {https://doi.org/10.1016/j.spl.2007.01.016}
}
@Book{ gine.mason.ea:00:high,
title = {High dimensional probability. {II}},
series = {Progress in Probability},
volume = {47},
author = {Gin\'{e}, Evarist and Mason, David M. and Wellner, Jon A.},
note = {Papers from the 2nd International Conference held at the
University of Washington, Seattle, WA, August 1--6, 1999},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {2000},
pages = {xii+510},
isbn = {0-8176-4160-2},
mrclass = {60-06 (62-06)},
mrnumber = {1857343},
doi = {10.1007/978-1-4612-1358-1},
url = {https://doi.org/10.1007/978-1-4612-1358-1}
}
@InCollection{ gine:97:decoupling,
author = {Gine, Evarist},
title = {Decoupling and limit theorems for {$U$}-statistics and
{$U$}-processes},
booktitle = {Lectures on probability theory and statistics
({S}aint-{F}lour, 1996)},
series = {Lecture Notes in Math.},
volume = {1665},
pages = {1--35},
publisher = {Springer, Berlin},
year = {1997},
mrclass = {60F05 (60B12 60F15)},
mrnumber = {1490043},
mrreviewer = {Miguel A. Arcones},
doi = {10.1007/BFb0092618},
url = {https://doi.org/10.1007/BFb0092618}
}
@Article{ ginibre.tsutsumi.ea:97:on,
author = {Ginibre, J. and Tsutsumi, Y. and Velo, G.},
title = {On the {C}auchy problem for the {Z}akharov system},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {151},
year = {1997},
number = {2},
pages = {384--436},
issn = {0022-1236},
mrclass = {35Q55},
mrnumber = {1491547},
mrreviewer = {Spyridon Kamvissis},
doi = {10.1006/jfan.1997.3148},
url = {https://doi.org/10.1006/jfan.1997.3148}
}
@Article{ ginibre:65:statistical,
author = {Ginibre, Jean},
title = {Statistical ensembles of complex, quaternion, and real
matrices},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {6},
year = {1965},
pages = {440--449},
issn = {0022-2488},
mrclass = {22.60 (53.90)},
mrnumber = {173726},
mrreviewer = {J. Dieudonn\'{e}},
doi = {10.1063/1.1704292},
url = {https://doi.org/10.1063/1.1704292}
}
@Article{ ginsparg.zinn-justin:90:2d,
author = {Ginsparg, P. and Zinn-Justin, J.},
title = {{$2$}{D} gravity {${}+1$}{D} matter},
journal = {Phys. Lett. B},
fjournal = {Physics Letters. B. Particle Physics, Nuclear Physics and
Cosmology},
volume = {240},
year = {1990},
number = {3-4},
pages = {333--340},
issn = {0370-2693},
mrclass = {81T40 (83C45)},
mrnumber = {1053364},
mrreviewer = {C. Gauthier},
doi = {10.1016/0370-2693(90)91108-N},
url = {https://doi.org/10.1016/0370-2693(90)91108-N}
}
@Article{ giordano.jolis.ea:20:spdes,
author = {Giordano, Luca M. and Jolis, Maria and Quer-Sardanyons,
Llu\'{i}s},
title = {S{PDE}s with linear multiplicative fractional noise:
continuity in law with respect to the {H}urst index},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {130},
year = {2020},
number = {12},
pages = {7396--7430},
issn = {0304-4149},
mrclass = {60B10 (60G22 60H07 60H15)},
mrnumber = {4167210},
doi = {10.1016/j.spa.2020.08.001},
url = {https://doi.org/10.1016/j.spa.2020.08.001}
}
@Article{ giordano.jolis.ea:20:spdes*1,
author = {Giordano, Luca M. and Jolis, Maria and Quer-Sardanyons,
Llu\'{i}s},
title = {S{PDE}s with fractional noise in space: continuity in law
with respect to the {H}urst index},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {26},
year = {2020},
number = {1},
pages = {352--386},
issn = {1350-7265},
mrclass = {60H15 (60G22)},
mrnumber = {4036037},
mrreviewer = {Xiliang Fan},
doi = {10.3150/19-BEJ1128},
url = {https://doi.org/10.3150/19-BEJ1128}
}
@Article{ girko:04:strong,
author = {Girko, V. L.},
title = {The strong circular law. {T}wenty years later. {II}},
journal = {Random Oper. Stochastic Equations},
fjournal = {Random Operators and Stochastic Equations},
volume = {12},
year = {2004},
number = {3},
pages = {255--312},
issn = {0926-6364},
mrclass = {60F15 (60F05)},
mrnumber = {2085255},
mrreviewer = {V. Thangaraj},
doi = {10.1163/1569397042222477},
url = {https://doi.org/10.1163/1569397042222477}
}
@Article{ girko:80:normalized,
author = {G\={i}rko, V. L.},
title = {Normalized spectral functions of random matrices},
journal = {Teor. Veroyatnost. i Mat. Statist.},
fjournal = {Teoriya Veroyatnosteu{i} i Matematicheskaya Statistika},
volume = {22},
year = {1980},
pages = {29--33, 163},
issn = {0131-6982},
mrclass = {60F05 (15A52 60H25)},
mrnumber = {568235},
mrreviewer = {A. B. Buche}
}
@Article{ girko:84:circular,
author = {Girko, V. L.},
title = {The circular law},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Akademiya Nauk SSSR. Teoriya Veroyatnosteu{i} i ee
Primeneniya},
volume = {29},
year = {1984},
number = {4},
pages = {669--679},
issn = {0040-361X},
mrclass = {15A52 (60F99)},
mrnumber = {773436},
mrreviewer = {Ludwig Arnold}
}
@Book{ girko:88:spektral-naya-teoriya-sluchaui,
author = {Girko, G. L.},
title = {{\cyr Spektral{\cprime}naya teoriya sluchau{i}} {\cyr nykh
matrits}},
series = {\cyr Teoriya Veroyatnosteu{i} i Matematicheskaya
Statistika. [Probability Theory and Mathematical
Statistics]},
publisher = {``Nauka'', Moscow},
year = {1988},
pages = {376},
isbn = {5-02-013749-9},
mrclass = {60F99 (15A52 47A10 60B99 62H10)},
mrnumber = {955497}
}
@Article{ giunti.gu.ea:19:heat,
author = {Giunti, Arianna and Gu, Yu and Mourrat, Jean-Christophe},
title = {Heat kernel upper bounds for interacting particle
systems},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {2},
pages = {1056--1095},
issn = {0091-1798},
mrclass = {82C22 (35B65 35K08 60K35)},
mrnumber = {3916942},
doi = {10.1214/18-AOP1279},
url = {https://doi.org/10.1214/18-AOP1279}
}
@Article{ glangetas.merle:94:concentration,
author = {Glangetas, L. and Merle, F.},
title = {Concentration properties of blow-up solutions and
instability results for {Z}akharov equation in dimension
two. {II}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {160},
year = {1994},
number = {2},
pages = {349--389},
issn = {0010-3616},
mrclass = {35Q55 (35B05 76X05)},
mrnumber = {1262202},
mrreviewer = {John Albert},
url = {http://projecteuclid.org/euclid.cmp/1104269615}
}
@Article{ glangetas.merle:94:existence,
author = {Glangetas, L. and Merle, F.},
title = {Existence of self-similar blow-up solutions for {Z}akharov
equation in dimension two. {I}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {160},
year = {1994},
number = {1},
pages = {173--215},
issn = {0010-3616},
mrclass = {35Q55 (35B05 76X05)},
mrnumber = {1262194},
mrreviewer = {John Albert},
url = {http://projecteuclid.org/euclid.cmp/1104269518}
}
@Article{ glatt-holtz.herzog.ea:18:scaling,
author = {Glatt-Holtz, Nathan E. and Herzog, David P. and Mattingly,
Jonathan C.},
title = {Scaling and saturation in infinite-dimensional control
problems with applications to stochastic partial
differential equations},
journal = {Ann. PDE},
fjournal = {Annals of PDE. Journal Dedicated to the Analysis of
Problems from Physical Sciences},
volume = {4},
year = {2018},
number = {2},
pages = {Paper No. 16, 103},
issn = {2524-5317,2199-2576},
mrclass = {35R60 (35H10 35Q35 60H07 60H15 76F70 93B05)},
mrnumber = {3862850},
mrreviewer = {Mark\ R.\ Opmeer},
doi = {10.1007/s40818-018-0052-1},
url = {https://doi.org/10.1007/s40818-018-0052-1}
}
@Article{ glatt-holtz.mattingly.ea:17:on,
author = {Glatt-Holtz, Nathan and Mattingly, Jonathan C. and
Richards, Geordie},
title = {On unique ergodicity in nonlinear stochastic partial
differential equations},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {166},
year = {2017},
number = {3-4},
pages = {618--649},
issn = {0022-4715,1572-9613},
mrclass = {37H10 (35R60 60H15)},
mrnumber = {3607584},
mrreviewer = {Min\ Zhao},
doi = {10.1007/s10955-016-1605-x},
url = {https://doi.org/10.1007/s10955-016-1605-x}
}
@Article{ glatt-holtz.vicol:14:local,
author = {Glatt-Holtz, Nathan E. and Vicol, Vlad C.},
title = {Local and global existence of smooth solutions for the
stochastic {E}uler equations with multiplicative noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {1},
pages = {80--145},
issn = {0091-1798},
mrclass = {60H15 (35B65 35Q31 35R60 76B03)},
mrnumber = {3161482},
mrreviewer = {Paul Andr\'{e} Razafimandimby},
doi = {10.1214/12-AOP773},
url = {https://doi.org/10.1214/12-AOP773}
}
@Article{ glimm.jaffe.ea:75:phase,
author = {Glimm, James and Jaffe, Arthur and Spencer, Thomas},
title = {Phase transitions for {$\phi_{2}^{4}$} quantum fields},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {45},
year = {1975},
number = {3},
pages = {203--216},
issn = {0010-3616},
mrclass = {81.47},
mrnumber = {391797},
mrreviewer = {H. Araki},
url = {http://projecteuclid.org/euclid.cmp/1103899492}
}
@Article{ glimm.jaffe:73:positivity,
author = {Glimm, James and Jaffe, Arthur},
title = {Positivity of the {$\phi ^{4}_{3}$} {H}amiltonian},
journal = {Fortschr. Physik},
fjournal = {Fortschritte der Physik},
volume = {21},
year = {1973},
pages = {327--376},
mrclass = {81.47},
mrnumber = {408581},
mrreviewer = {R. H\o egh-Krohn},
doi = {10.1002/prop.19730210702},
url = {https://doi.org/10.1002/prop.19730210702}
}
@Book{ glimm.jaffe:81:quantum,
author = {Glimm, James and Jaffe, Arthur},
title = {Quantum physics},
note = {A functional integral point of view},
publisher = {Springer-Verlag, New York-Berlin},
year = {1981},
pages = {xx+417},
isbn = {0-387-90562-6},
mrclass = {81-02 (35R15 60K35 81C35 81E10 82-02)},
mrnumber = {628000},
mrreviewer = {Paul Federbush}
}
@Book{ glimm.jaffe:87:quantum,
author = {Glimm, James and Jaffe, Arthur},
title = {Quantum physics},
edition = {Second},
note = {A functional integral point of view},
publisher = {Springer-Verlag, New York},
year = {1987},
pages = {xxii+535},
isbn = {0-387-96476-2},
mrclass = {81-02 (81E05)},
mrnumber = {887102},
mrreviewer = {P. D. F. Ion},
doi = {10.1007/978-1-4612-4728-9},
url = {https://doi.org/10.1007/978-1-4612-4728-9}
}
@Article{ glimm:68:boson,
author = {Glimm, James},
title = {Boson fields with the {$:\Phi ^{4}:$} interaction in three
dimensions},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {10},
year = {1968},
pages = {1--47},
issn = {0010-3616},
mrclass = {81.46},
mrnumber = {231601},
mrreviewer = {W. G\"{u}ttinger},
url = {http://projecteuclid.org/euclid.cmp/1103840981}
}
@Article{ gloria.otto:11:optimal,
author = {Gloria, Antoine and Otto, Felix},
title = {An optimal variance estimate in stochastic homogenization
of discrete elliptic equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {39},
year = {2011},
number = {3},
pages = {779--856},
issn = {0091-1798},
mrclass = {35B27 (35A08 39A70 60F99 60H25)},
mrnumber = {2789576},
mrreviewer = {Mamadou Sango},
doi = {10.1214/10-AOP571},
url = {https://doi.org/10.1214/10-AOP571}
}
@Article{ gnann.kuehn.ea:19:towards,
author = {Gnann, Manuel V. and Kuehn, Christian and Pein, Anne},
title = {Towards sample path estimates for fast-slow stochastic
partial differential equations},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {30},
year = {2019},
number = {5},
pages = {1004--1024},
issn = {0956-7925},
mrclass = {60H15 (35R60 37H10)},
mrnumber = {4001564},
doi = {10.1017/s095679251800061x},
url = {https://doi.org/10.1017/s095679251800061x}
}
@Book{ gnedenko.kolmogorov:68:limit,
author = {Gnedenko, B. V. and Kolmogorov, A. N.},
title = {Limit distributions for sums of independent random
variables},
edition = {Revised},
note = {Translated from the Russian, annotated, and revised by K.
L. Chung, With appendices by J. L. Doob and P. L. Hsu},
publisher = {Addison-Wesley Publishing Co., Reading, Mass.-London-Don
Mills, Ont.},
year = {1968},
pages = {ix+293},
mrclass = {60.30},
mrnumber = {233400}
}
@Article{ go-dys.peszat:99:law,
author = {Go\l dys, Beniamin and Peszat, Szymon},
title = {Law equivalence of stochastic linear systems},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {43},
year = {1999},
number = {3},
pages = {265--274},
issn = {0167-7152,1879-2103},
mrclass = {60H10 (60G15 60G30 93E03)},
mrnumber = {1708094},
doi = {10.1016/S0167-7152(98)00266-1},
url = {https://doi.org/10.1016/S0167-7152(98)00266-1}
}
@Article{ godambe:60:admissible,
author = {Godambe, V. P.},
title = {An admissible estimate for any sampling design},
journal = {Sankhy\={a}},
fjournal = {Sankhy\={a}. The Indian Journal of Statistics.},
volume = {22},
year = {1960},
pages = {285--288},
issn = {0036-4452},
mrclass = {62.90},
mrnumber = {130782},
mrreviewer = {Q. M. Husain}
}
@Book{ godlewski.raviart:96:numerical,
author = {Godlewski, Edwige and Raviart, Pierre-Arnaud},
title = {Numerical approximation of hyperbolic systems of
conservation laws},
series = {Applied Mathematical Sciences},
volume = {118},
publisher = {Springer-Verlag, New York},
year = {1996},
pages = {viii+509},
isbn = {0-387-94529-6},
mrclass = {65M06 (35A35 35L65 65-02 76-02 76Mxx 76N10)},
mrnumber = {1410987},
mrreviewer = {Rolf Jeltsch},
doi = {10.1007/978-1-4612-0713-9},
url = {https://doi.org/10.1007/978-1-4612-0713-9}
}
@Book{ godreche:92:solids,
title = {Solids far from equilibrium},
series = {Collection Al\'{e}a-Saclay: Monographs and Texts in
Statistical Physics},
volume = {1},
author = {Godr\`eche, C.},
publisher = {Cambridge University Press, Cambridge},
year = {1992},
pages = {xvi+588},
isbn = {0-521-41170-X},
mrclass = {82B24 (82-06 82C05 82C24 82D25)},
mrnumber = {1163829},
mrreviewer = {Yu. P. Virchenko}
}
@Book{ godsil.royle:01:algebraic,
author = {Godsil, Chris and Royle, Gordon},
title = {Algebraic graph theory},
series = {Graduate Texts in Mathematics},
volume = {207},
publisher = {Springer-Verlag, New York},
year = {2001},
pages = {xx+439},
isbn = {0-387-95241-1; 0-387-95220-9},
mrclass = {05-02 (05C50 05E30)},
mrnumber = {1829620},
mrreviewer = {Robin J. Wilson},
doi = {10.1007/978-1-4613-0163-9},
url = {https://doi.org/10.1007/978-1-4613-0163-9}
}
@Book{ gohberg.kreuin:69:introduction,
author = {Gohberg, I. C. and Kreu{i}n, M. G.},
title = {Introduction to the theory of linear nonselfadjoint
operators},
series = {Translations of Mathematical Monographs, Vol. 18},
note = {Translated from the Russian by A. Feinstein},
publisher = {American Mathematical Society, Providence, RI},
year = {1969},
pages = {xv+378},
mrclass = {47.10},
mrnumber = {246142}
}
@Article{ gol-dseuid.molcanov.ea:77:random,
author = {Gol{\cprime}d\v{s}eu{i}d, I. Ja. and Mol\v{c}anov, S. A.
and Pastur, L. A.},
title = {A random homogeneous {S}chr\"{o}dinger operator has a pure
point spectrum},
journal = {Funkcional. Anal. i Prilo\v{z}en.},
fjournal = {Akademija Nauk SSSR. Funkcional{\cprime}nyi Analiz i ego
Prilo\v{z}enija},
volume = {11},
year = {1977},
number = {1},
pages = {1--10, 96},
issn = {0374-1990},
mrclass = {35P05 (35J10)},
mrnumber = {470515},
mrreviewer = {A. A. Arsen{\cprime}ev}
}
@Article{ goldberg.mueller:82:brownian,
author = {Goldberg, S. I. and Mueller, C.},
title = {Brownian motion, geometry, and generalizations of
{P}icard's little theorem},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {7},
year = {1982},
number = {1},
pages = {259--263},
issn = {0273-0979},
mrclass = {58G32 (32H25 60J65)},
mrnumber = {656207},
mrreviewer = {Jean-Louis Ducourtioux},
doi = {10.1090/S0273-0979-1982-15028-5},
url = {https://doi.org/10.1090/S0273-0979-1982-15028-5}
}
@Article{ goldberg.mueller:83:brownian,
author = {Goldberg, S. I. and Mueller, C.},
title = {Brownian motion, geometry, and generalizations of
{P}icard's little theorem},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {11},
year = {1983},
number = {4},
pages = {833--846},
issn = {0091-1798},
mrclass = {58G32 (53C20 60J65)},
mrnumber = {714949},
mrreviewer = {Mark Pinsky},
url = {http://links.jstor.org/sici?sici=0091-1798(198311)11:4<833:BMGAGO>2.0.CO;2-H&origin=MSN}
}
@Article{ goldberg:79:local,
author = {Goldberg, David},
title = {A local version of real {H}ardy spaces},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {46},
year = {1979},
number = {1},
pages = {27--42},
issn = {0012-7094},
mrclass = {46E99 (42B30 46F05)},
mrnumber = {523600},
mrreviewer = {Hans G. Feichtinger},
url = {http://projecteuclid.org/euclid.dmj/1077313253}
}
@Article{ golden:76:shortest-path,
title = {Shortest-path algorithms: A comparison},
author = {Golden, Bruce},
journal = {Operations Research},
volume = {24},
number = {6},
pages = {1164--1168},
year = {1976},
publisher = {INFORMS}
}
@Article{ goldman:10:palm,
author = {Goldman, Andr\'{e}},
title = {The {P}alm measure and the {V}oronoi tessellation for the
{G}inibre process},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {20},
year = {2010},
number = {1},
pages = {90--128},
issn = {1050-5164},
mrclass = {60D05 (60G55 60K35)},
mrnumber = {2582643},
mrreviewer = {Thierry Edmond Huillet},
doi = {10.1214/09-AAP620},
url = {https://doi.org/10.1214/09-AAP620}
}
@Article{ goldstein.nourdin.ea:17:gaussian,
author = {Goldstein, Larry and Nourdin, Ivan and Peccati, Giovanni},
title = {Gaussian phase transitions and conic intrinsic volumes:
{S}teining the {S}teiner formula},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {27},
year = {2017},
number = {1},
pages = {1--47},
issn = {1050-5164},
mrclass = {60D05 (60F05 62F30)},
mrnumber = {3619780},
mrreviewer = {Christoph Th\"{a}le},
doi = {10.1214/16-AAP1195},
url = {https://doi.org/10.1214/16-AAP1195}
}
@Article{ goldstein:70:on,
author = {Goldstein, R.},
title = {On certain compositions of functions of a complex
variable},
journal = {Aequationes Math.},
fjournal = {Aequationes Mathematicae},
volume = {4},
year = {1970},
pages = {103--126},
issn = {0001-9054},
mrclass = {30.60},
mrnumber = {265595},
mrreviewer = {A. Weitsman},
doi = {10.1007/BF01817752},
url = {https://doi.org/10.1007/BF01817752}
}
@Article{ goldys.gozzi:06:second,
author = {Goldys, B. and Gozzi, F.},
title = {Second order parabolic {H}amilton-{J}acobi-{B}ellman
equations in {H}ilbert spaces and stochastic control:
{$L_\mu^2$} approach},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {116},
year = {2006},
number = {12},
pages = {1932--1963},
issn = {0304-4149,1879-209X},
mrclass = {49L20 (91B28 93E20)},
mrnumber = {2307066},
doi = {10.1016/j.spa.2006.05.006},
url = {https://doi.org/10.1016/j.spa.2006.05.006}
}
@Article{ goldys.kocan:01:diffusion,
author = {Goldys, B. and Kocan, M.},
title = {Diffusion semigroups in spaces of continuous functions
with mixed topology},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {173},
year = {2001},
number = {1},
pages = {17--39},
issn = {0022-0396,1090-2732},
mrclass = {60H10 (47D07)},
mrnumber = {1836243},
mrreviewer = {Anna\ M.\ Paganoni},
doi = {10.1006/jdeq.2000.3918},
url = {https://doi.org/10.1006/jdeq.2000.3918}
}
@Article{ goldys.le.ea:16:finite,
author = {Goldys, Beniamin and Le, Kim-Ngan and Tran, Thanh},
title = {A finite element approximation for the stochastic
{L}andau-{L}ifshitz-{G}ilbert equation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {260},
year = {2016},
number = {2},
pages = {937--970},
issn = {0022-0396,1090-2732},
mrclass = {65M60 (35Q60 35R60 60H15 65M75 78M10 82D45)},
mrnumber = {3419717},
doi = {10.1016/j.jde.2015.09.012},
url = {https://doi.org/10.1016/j.jde.2015.09.012}
}
@Article{ goldys.maslowski:01:uniform,
author = {Goldys, Beniamin and Maslowski, Bohdan},
title = {Uniform exponential ergodicity of stochastic dissipative
systems},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {51(126)},
year = {2001},
number = {4},
pages = {745--762},
issn = {0011-4642},
mrclass = {60H10 (37A30 47A35)},
mrnumber = {1864040},
doi = {10.1023/A:1013712812513},
url = {https://doi.org/10.1023/A:1013712812513}
}
@Article{ goldys.maslowski:05:exponential,
author = {Goldys, B. and Maslowski, B.},
title = {Exponential ergodicity for stochastic {B}urgers and 2{D}
{N}avier-{S}tokes equations},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {226},
year = {2005},
number = {1},
pages = {230--255},
issn = {0022-1236,1096-0783},
mrclass = {35R60 (35Q30 35Q53 37L55 60H10 76D05 76M35)},
mrnumber = {2158741},
mrreviewer = {Ana\ Bela\ Cruzeiro},
doi = {10.1016/j.jfa.2004.12.009},
url = {https://doi.org/10.1016/j.jfa.2004.12.009}
}
@InCollection{ goldys.maslowski:06:exponential,
author = {Goldys, Beniamin and Maslowski, Bohdan},
title = {Exponential ergodicity for stochastic reaction-diffusion
equations},
booktitle = {Stochastic partial differential equations and
applications---{VII}},
series = {Lect. Notes Pure Appl. Math.},
volume = {245},
pages = {115--131},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
isbn = {978-0-8247-0027-0; 0-8247-0027-9},
mrclass = {60J35},
mrnumber = {2227225},
mrreviewer = {Toshihiro\ Uemura},
doi = {10.1201/9781420028720.ch12},
url = {https://doi.org/10.1201/9781420028720.ch12}
}
@Article{ goldys.neerven:03:transition,
author = {Goldys, B. and van Neerven, J. M. A. M.},
title = {Transition semigroups of {B}anach space-valued
{O}rnstein-{U}hlenbeck processes},
journal = {Acta Appl. Math.},
fjournal = {Acta Applicandae Mathematicae},
volume = {76},
year = {2003},
number = {3},
pages = {283--330},
issn = {0167-8019,1572-9036},
mrclass = {47D07 (47D06 60H15 60J35)},
mrnumber = {1976297},
mrreviewer = {Vladimir\ I.\ Bogachev},
doi = {10.1023/A:1023261101091},
url = {https://doi.org/10.1023/A:1023261101091}
}
@Article{ goldys.peszat.ea:16:gauss-markov,
author = {Goldys, Ben and Peszat, Szymon and Zabczyk, Jerzy},
title = {Gauss-{M}arkov processes on {H}ilbert spaces},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {368},
year = {2016},
number = {1},
pages = {89--108},
issn = {0002-9947},
mrclass = {60G15 (60H15 60J99)},
mrnumber = {3413857},
mrreviewer = {Jingyu Huang},
doi = {10.1090/tran/6329},
url = {https://doi.org/10.1090/tran/6329}
}
@Article{ goldys.peszat:23:linear,
author = {Goldys, Ben and Peszat, Szymon},
title = {Linear parabolic equation with {D}irichlet white noise
boundary conditions},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {362},
year = {2023},
pages = {382--437},
issn = {0022-0396,1090-2732},
mrclass = {60H15 (35K05 60G15 60J99)},
mrnumber = {4561684},
doi = {10.1016/j.jde.2023.03.003},
url = {https://doi.org/10.1016/j.jde.2023.03.003}
}
@Article{ goldys.rockner.ea:09:martingale,
author = {Goldys, Benjamin and R\"{o}ckner, Michael and Zhang,
Xicheng},
title = {Martingale solutions and {M}arkov selections for
stochastic partial differential equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {5},
pages = {1725--1764},
issn = {0304-4149},
mrclass = {60H15 (35R60 60G44 76S05)},
mrnumber = {2513126},
doi = {10.1016/j.spa.2008.08.009},
url = {https://doi.org/10.1016/j.spa.2008.08.009}
}
@InCollection{ golse:16:on,
author = {Golse, Fran\c{c}ois},
title = {On the dynamics of large particle systems in the mean
field limit},
booktitle = {Macroscopic and large scale phenomena: coarse graining,
mean field limits and ergodicity},
series = {Lect. Notes Appl. Math. Mech.},
volume = {3},
pages = {1--144},
publisher = {Springer, [Cham]},
year = {2016},
mrclass = {82C22 (81V19)},
mrnumber = {3468297},
doi = {10.1007/978-3-319-26883-5\_1},
url = {https://doi.org/10.1007/978-3-319-26883-5_1}
}
@Article{ gomez.lee.ea:13:strong,
author = {Gomez, Alejandro and Lee, Kijung and Mueller, Carl and
Wei, Ang and Xiong, Jie},
title = {Strong uniqueness for an {SPDE} via backward doubly
stochastic differential equations},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {83},
year = {2013},
number = {10},
pages = {2186--2190},
issn = {0167-7152},
mrclass = {60H15 (35A02 35R60)},
mrnumber = {3093800},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1016/j.spl.2013.06.010},
url = {https://doi.org/10.1016/j.spl.2013.06.010}
}
@Article{ gomez.lee.ea:17:on,
author = {Gomez, Alejandro and Lee, Jong Jun and Mueller, Carl and
Neuman, Eyal and Salins, Michael},
title = {On uniqueness and blowup properties for a class of second
order {SDE}s},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 72, 17},
mrclass = {60H10 (60H15)},
mrnumber = {3698741},
mrreviewer = {Carsten Chong},
doi = {10.1214/17-EJP95},
url = {https://doi.org/10.1214/17-EJP95}
}
@Article{ goncalves.jara:12:crossover,
author = {Gon\c{c}alves, Patr\'{i}cia and Jara, Milton},
title = {Crossover to the {KPZ} equation},
journal = {Ann. Henri Poincar\'{e}},
fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and
Mathematical Physics},
volume = {13},
year = {2012},
number = {4},
pages = {813--826},
issn = {1424-0637},
mrclass = {82C22 (60K35)},
mrnumber = {2913622},
mrreviewer = {Enza Orlandi},
doi = {10.1007/s00023-011-0147-7},
url = {https://doi.org/10.1007/s00023-011-0147-7}
}
@Article{ goncalves.jara:14:nonlinear,
author = {Gon\c{c}alves, Patr\'{i}cia and Jara, Milton},
title = {Nonlinear fluctuations of weakly asymmetric interacting
particle systems},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {212},
year = {2014},
number = {2},
pages = {597--644},
issn = {0003-9527},
mrclass = {60K35 (35R60 60H15 60H40 82C22)},
mrnumber = {3176353},
mrreviewer = {Mathew Joseph},
doi = {10.1007/s00205-013-0693-x},
url = {https://doi.org/10.1007/s00205-013-0693-x}
}
@Article{ gorbachuk.gorbachuk.ea:89:theory,
author = {Gorbachuk, V. I. and Gorbachuk, M. L. and Kochubeu{i}, A.
N.},
title = {The theory of extensions of symmetric operators, and
boundary value problems for differential equations},
journal = {Ukrain. Mat. Zh.},
fjournal = {Akademiya Nauk Ukrainskou{i} SSR. Institut Matematiki.
Ukrainskiu{i} Matematicheskiu{i} Zhurnal},
volume = {41},
year = {1989},
number = {10},
pages = {1299--1313, 1436},
issn = {0041-6053},
mrclass = {47B25 (34G10 47A20 47B44 47E05)},
mrnumber = {1034669},
mrreviewer = {R.\ C.\ Gilbert},
doi = {10.1007/BF01057246},
url = {https://doi.org/10.1007/BF01057246}
}
@Article{ gordina.rockner.ea:20:ornstein-uhlenbeck,
author = {Gordina, Maria and R\"{o}ckner, Michael and Teplyaev,
Alexander},
title = {Ornstein-{U}hlenbeck processes with singular drifts:
integral estimates and {G}irsanov densities},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {178},
year = {2020},
number = {3-4},
pages = {861--891},
issn = {0178-8051},
mrclass = {60H10 (35R15 47D07 47N30 60H15)},
mrnumber = {4168390},
mrreviewer = {Stefan Tappe},
doi = {10.1007/s00440-020-00991-w},
url = {https://doi.org/10.1007/s00440-020-00991-w}
}
@Article{ gorenflo.iskenderov.ea:00:mapping,
author = {Gorenflo, Rudolf and Iskenderov, Asaf and Luchko, Yuri},
title = {Mapping between solutions of fractional diffusion-wave
equations},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {3},
year = {2000},
number = {1},
pages = {75--86},
issn = {1311-0454},
mrclass = {26A33 (35R99 45K05)},
mrnumber = {1743407},
mrreviewer = {K. S. Miller}
}
@Article{ gorenflo.loutchko.ea:03:correction,
author = {Gorenflo, R. and Loutchko, J. and Luchko, Y.},
title = {Correction: ``{C}omputation of the {M}ittag-{L}effler
function {$E_{\alpha,\beta}(z)$} and its derivative''
[{F}ract. {C}alc. {A}ppl. {A}nal. {\bf 5} (2002), no. 4,
491--518; {MR}1967847 (2004d:33020a)]},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {6},
year = {2003},
number = {1},
pages = {111--112},
issn = {1311-0454},
mrclass = {33E12 (30E20 33F05 65D20)},
mrnumber = {1992470},
mrreviewer = {Om\ P.\ Singh}
}
@Article{ gorenflo.luchko.ea:00:on,
author = {Gorenflo, Rudolf and Luchko, Yurii F. and Umarov, Sabir
R.},
title = {On some boundary value problems for pseudo-differential
equations with boundary operators of fractional order},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {3},
year = {2000},
number = {4},
pages = {453--468},
issn = {1311-0454},
mrclass = {35S15 (26A33 47G30)},
mrnumber = {1806315},
mrreviewer = {J.\ Horv\'{a}th}
}
@InCollection{ gorenflo.luchko.ea:00:wright,
author = {Gorenflo, Rudolf and Luchko, Yuri and Mainardi,
Francesco},
title = {Wright functions as scale-invariant solutions of the
diffusion-wave equation},
note = {Higher transcendental functions and their applications},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {118},
year = {2000},
number = {1-2},
pages = {175--191},
issn = {0377-0427},
mrclass = {45K05 (26A33 33E20)},
mrnumber = {1765948},
mrreviewer = {H. M. Srivastava},
doi = {10.1016/S0377-0427(00)00288-0},
url = {https://doi.org/10.1016/S0377-0427(00)00288-0}
}
@InCollection{ gorenflo.luchko.ea:99:analytical,
author = {Gorenflo, Rudolf and Luchko, Yuri and Mainardi,
Francesco},
title = {Analytical properties and applications of the {W}right
function},
note = {TMSF, AUBG'99, Part A (Blagoevgrad)},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {2},
year = {1999},
number = {4},
pages = {383--414},
issn = {1311-0454},
mrclass = {33C15 (26A33 33E20)},
mrnumber = {1752379},
mrreviewer = {Matti Vuorinen}
}
@Article{ gorenflo.luchko.ea:99:on,
author = {Gorenflo, R. and Luchko, Yu. F. and Zabrejko, P. P.},
title = {On solvability of linear fractional differential equations
in {B}anach spaces},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {2},
year = {1999},
number = {2},
pages = {163--176},
issn = {1311-0454},
mrclass = {34G10 (26A33 45J05 47N20)},
mrnumber = {1689184},
mrreviewer = {Alberto\ Venni}
}
@Article{ gorenflo.luchko:97:operational,
author = {Gorenflo, Rudolf and Luchko, Yuri},
title = {Operational method for solving generalized {A}bel integral
equation of second kind},
journal = {Integral Transform. Spec. Funct.},
fjournal = {Integral Transforms and Special Functions. An
International Journal},
volume = {5},
year = {1997},
number = {1-2},
pages = {47--58},
issn = {1065-2469,1476-8291},
mrclass = {45E10 (44A40)},
mrnumber = {1467147},
doi = {10.1080/10652469708819125},
url = {https://doi.org/10.1080/10652469708819125}
}
@InCollection{ gorenflo.mainardi.ea:02:fractional,
author = {Gorenflo, Rudolf and Mainardi, Francesco and Moretti,
Daniele and Pagnini, Gianni and Paradisi, Paolo},
title = {Fractional diffusion: probability distributions and random
walk models},
note = {Non extensive thermodynamics and physical applications
(Villasimius, 2001)},
journal = {Phys. A},
fjournal = {Physica A. Statistical Mechanics and its Applications},
volume = {305},
year = {2002},
number = {1-2},
pages = {106--112},
issn = {0378-4371},
mrclass = {82B41},
mrnumber = {1923936},
doi = {10.1016/S0378-4371(01)00647-1},
url = {https://doi.org/10.1016/S0378-4371(01)00647-1}
}
@InProceedings{ gorenflo.mainardi.ea:98:special,
author = {Gorenflo, Rudolf and Mainardi, Francesco and Srivastava,
Hari M.},
title = {Special functions in fractional relaxation-oscillation and
fractional diffusion-wave phenomena},
booktitle = {Proceedings of the {E}ighth {I}nternational {C}olloquium
on {D}ifferential {E}quations ({P}lovdiv, 1997)},
pages = {195--202},
publisher = {VSP, Utrecht},
year = {1998},
mrclass = {33E20 (26A33 35L99)},
mrnumber = {1644941}
}
@InCollection{ gorenflo.mainardi:01:random,
author = {Gorenflo, Rudolf and Mainardi, Francesco},
title = {Random walk models approximating symmetric
space-fractional diffusion processes},
booktitle = {Problems and methods in mathematical physics ({C}hemnitz,
1999)},
series = {Oper. Theory Adv. Appl.},
volume = {121},
pages = {120--145},
publisher = {Birkh\"{a}user, Basel},
year = {2001},
mrclass = {60J60 (35S10)},
mrnumber = {1847209}
}
@InCollection{ gorenflo.mainardi:97:fractional,
author = {Gorenflo, R. and Mainardi, F.},
title = {Fractional calculus: integral and differential equations
of fractional order},
booktitle = {Fractals and fractional calculus in continuum mechanics
({U}dine, 1996)},
series = {CISM Courses and Lect.},
volume = {378},
pages = {223--276},
publisher = {Springer, Vienna},
year = {1997},
mrclass = {26A33 (45E10 45J05)},
mrnumber = {1611585},
mrreviewer = {Philip Heywood}
}
@Article{ gorenflo.mainardi:98:random,
author = {Gorenflo, Rudolf and Mainardi, Francesco},
title = {Random walk models for space-fractional diffusion
processes},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {1},
year = {1998},
number = {2},
pages = {167--191},
issn = {1311-0454},
mrclass = {60J60 (26A33)},
mrnumber = {1656314},
mrreviewer = {Niels Jacob}
}
@Article{ gorostiza.nualart:94:nuclear,
author = {Gorostiza, Luis G. and Nualart, David},
title = {Nuclear {G}el{\cprime}fand triples on {W}iener space and
applications to trajectorial fluctuations of particle
systems},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {125},
year = {1994},
number = {1},
pages = {37--66},
issn = {0022-1236},
mrclass = {60H07 (46G12 46N30 60J65)},
mrnumber = {1297013},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1006/jfan.1994.1116},
url = {https://doi.org/10.1006/jfan.1994.1116}
}
@Article{ gotze.tikhomirov:10:circular,
author = {G\"{o}tze, Friedrich and Tikhomirov, Alexander},
title = {The circular law for random matrices},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {4},
pages = {1444--1491},
issn = {0091-1798},
mrclass = {60B20},
mrnumber = {2663633},
mrreviewer = {Sasha Sodin},
doi = {10.1214/09-AOP522},
url = {https://doi.org/10.1214/09-AOP522}
}
@Article{ goudon.vasseur:10:regularity,
author = {Goudon, Thierry and Vasseur, Alexis},
title = {Regularity analysis for systems of reaction-diffusion
equations},
journal = {Ann. Sci. \'{E}c. Norm. Sup\'{e}r. (4)},
fjournal = {Annales Scientifiques de l'\'{E}cole Normale
Sup\'{e}rieure. Quatri\`eme S\'{e}rie},
volume = {43},
year = {2010},
number = {1},
pages = {117--142},
issn = {0012-9593},
mrclass = {35K51 (35B65 35K45 35K57)},
mrnumber = {2583266},
doi = {10.24033/asens.2117},
url = {https://doi.org/10.24033/asens.2117}
}
@Article{ gozlan.roberto.ea:11:from,
author = {Gozlan, Nathael and Roberto, Cyril and Samson,
Paul-Marie},
title = {From concentration to logarithmic {S}obolev and
{P}oincar\'{e} inequalities},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {260},
year = {2011},
number = {5},
pages = {1491--1522},
issn = {0022-1236},
mrclass = {60E15 (28A35 46E35 53C21 53C23 58J65 60G15)},
mrnumber = {2749436},
mrreviewer = {Laurent Miclo},
doi = {10.1016/j.jfa.2010.11.010},
url = {https://doi.org/10.1016/j.jfa.2010.11.010}
}
@Article{ graczyk.smirnov:09:non-uniform,
author = {Graczyk, Jacek and Smirnov, Stanislav},
title = {Non-uniform hyperbolicity in complex dynamics},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {175},
year = {2009},
number = {2},
pages = {335--415},
issn = {0020-9910,1432-1297},
mrclass = {37F10 (37D25 37F35 37F45)},
mrnumber = {2470110},
mrreviewer = {Henk\ Bruin},
doi = {10.1007/s00222-008-0152-8},
url = {https://doi.org/10.1007/s00222-008-0152-8}
}
@Article{ graczyk.smirnov:98:collet,
author = {Graczyk, Jacek and Smirnov, Stas},
title = {Collet, {E}ckmann and {H}\"{o}lder},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {133},
year = {1998},
number = {1},
pages = {69--96},
issn = {0020-9910,1432-1297},
mrclass = {37F15 (28A80 30D05 37F50)},
mrnumber = {1626469},
mrreviewer = {Petra\ Bonfert-Taylor},
doi = {10.1007/s002220050239},
url = {https://doi.org/10.1007/s002220050239}
}
@Article{ gradinaru.nourdin.ea:05:itos-,
author = {Gradinaru, Mihai and Nourdin, Ivan and Tindel, Samy},
title = {Ito's- and {T}anaka's-type formulae for the stochastic
heat equation: the linear case},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {228},
year = {2005},
number = {1},
pages = {114--143},
issn = {0022-1236},
mrclass = {60H15 (60H05 60H07)},
mrnumber = {2170986},
mrreviewer = {David Nualart},
doi = {10.1016/j.jfa.2005.02.008},
url = {https://doi.org/10.1016/j.jfa.2005.02.008}
}
@Article{ gradinaru.nourdin.ea:05:m-order,
author = {Gradinaru, Mihai and Nourdin, Ivan and Russo, Francesco
and Vallois, Pierre},
title = {{$m$}-order integrals and generalized {I}t\^{o}'s formula:
the case of a fractional {B}rownian motion with any {H}urst
index},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {41},
year = {2005},
number = {4},
pages = {781--806},
issn = {0246-0203},
mrclass = {60H05 (60G15 60G18)},
mrnumber = {2144234},
mrreviewer = {Christian\ Bender},
doi = {10.1016/j.anihpb.2004.06.002},
url = {https://doi.org/10.1016/j.anihpb.2004.06.002}
}
@Article{ gradinaru.nourdin:03:approximation,
author = {Gradinaru, Mihai and Nourdin, Ivan},
title = {Approximation at first and second order of {$m$}-order
integrals of the fractional {B}rownian motion and of
certain semimartingales},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {8},
year = {2003},
pages = {no. 18, 26},
issn = {1083-6489},
mrclass = {60H05 (60F05 60F15 60G15 60J65)},
mrnumber = {2041819},
mrreviewer = {M.\ Z\"{a}hle},
doi = {10.1214/EJP.v8-166},
url = {https://doi.org/10.1214/EJP.v8-166}
}
@Article{ gradinaru.nourdin:08:stochastic,
author = {Gradinaru, Mihai and Nourdin, Ivan},
title = {Stochastic volatility: approximation and goodness-of-fit
test},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {28},
year = {2008},
number = {1},
pages = {1--19},
issn = {0208-4147},
mrclass = {62M02 (60F05 60F15 60H10 62L20)},
mrnumber = {2445501},
mrreviewer = {Jaya P. N. Bishwal}
}
@Article{ gradinaru.nourdin:09:milsteins,
author = {Gradinaru, Mihai and Nourdin, Ivan},
title = {Milstein's type schemes for fractional {SDE}s},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {45},
year = {2009},
number = {4},
pages = {1085--1098},
issn = {0246-0203},
mrclass = {60H05 (60G22 60H35)},
mrnumber = {2572165},
mrreviewer = {Michal Vyoral},
doi = {10.1214/08-AIHP196},
url = {https://doi.org/10.1214/08-AIHP196}
}
@Article{ gradinaru.russo.ea:03:generalized,
author = {Gradinaru, Mihai and Russo, Francesco and Vallois,
Pierre},
title = {Generalized covariations, local time and {S}tratonovich
{I}t\^{o}'s formula for fractional {B}rownian motion with
{H}urst index {$H\ge\frac14$}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {4},
pages = {1772--1820},
issn = {0091-1798},
mrclass = {60H05 (60G15 60G48 60H10 60H20)},
mrnumber = {2016600},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1214/aop/1068646366},
url = {https://doi.org/10.1214/aop/1068646366}
}
@Article{ gradinaru.tindel:08:on,
author = {Gradinaru, Mihai and Tindel, Samy},
title = {On homogeneous pinning models and penalizations},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {8},
year = {2008},
number = {3},
pages = {383--396},
issn = {0219-4937},
mrclass = {60K35},
mrnumber = {2444510},
mrreviewer = {Dimitri Petritis},
doi = {10.1142/S0219493708002366},
url = {https://doi.org/10.1142/S0219493708002366}
}
@Book{ gradshteyn.ryzhik:00:table,
author = {Gradshteyn, I. S. and Ryzhik, I. M.},
title = {Table of integrals, series, and products},
edition = {Sixth},
note = {Translated from the Russian, Translation edited and with a
preface by Alan Jeffrey and Daniel Zwillinger},
publisher = {Academic Press, Inc., San Diego, CA},
year = {2000},
pages = {xlvii+1163},
isbn = {0-12-294757-6},
mrclass = {00A22 (33-00 65-00 65A05)},
mrnumber = {1773820}
}
@Book{ gradshteyn.ryzhik:94:table,
author = {Gradshteyn, I. S. and Ryzhik, I. M.},
title = {Table of integrals, series, and products},
edition = {Fifth},
note = {Translation edited and with a preface by Alan Jeffrey},
publisher = {Academic Press, Inc., Boston, MA},
year = {1994},
pages = {xlviii+1204},
isbn = {0-12-294755-X},
mrclass = {00A22 (33-00 65-00)},
mrnumber = {1243179}
}
@Book{ grafakos:14:classical,
author = {Grafakos, Loukas},
title = {Classical {F}ourier analysis},
series = {Graduate Texts in Mathematics},
volume = {249},
edition = {Third},
publisher = {Springer, New York},
year = {2014},
pages = {xviii+638},
isbn = {978-1-4939-1193-6; 978-1-4939-1194-3},
mrclass = {42-01 (42Bxx)},
mrnumber = {3243734},
mrreviewer = {Atanas G. Stefanov},
doi = {10.1007/978-1-4939-1194-3},
url = {https://doi.org/10.1007/978-1-4939-1194-3}
}
@Book{ grafakos:14:modern,
author = {Grafakos, Loukas},
title = {Modern {F}ourier analysis},
series = {Graduate Texts in Mathematics},
volume = {250},
edition = {Third},
publisher = {Springer, New York},
year = {2014},
pages = {xvi+624},
isbn = {978-1-4939-1229-2; 978-1-4939-1230-8},
mrclass = {42-01 (42Bxx)},
mrnumber = {3243741},
mrreviewer = {Atanas G. Stefanov},
doi = {10.1007/978-1-4939-1230-8},
url = {https://doi.org/10.1007/978-1-4939-1230-8}
}
@Article{ gravner.quastel:00:internal,
author = {Gravner, Janko and Quastel, Jeremy},
title = {Internal {DLA} and the {S}tefan problem},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {4},
pages = {1528--1562},
issn = {0091-1798},
mrclass = {60K35 (82C24)},
mrnumber = {1813833},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1214/aop/1019160497},
url = {https://doi.org/10.1214/aop/1019160497}
}
@Article{ gravner.tracy.ea:01:limit,
author = {Gravner, Janko and Tracy, Craig A. and Widom, Harold},
title = {Limit theorems for height fluctuations in a class of
discrete space and time growth models},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {102},
year = {2001},
number = {5-6},
pages = {1085--1132},
issn = {0022-4715},
mrclass = {82C41 (60F05 60K35 82C22)},
mrnumber = {1830441},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1023/A:1004879725949},
url = {https://doi.org/10.1023/A:1004879725949}
}
@Article{ gravner.tracy.ea:02:fluctuations,
author = {Gravner, Janko and Tracy, Craig A. and Widom, Harold},
title = {Fluctuations in the composite regime of a disordered
growth model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {229},
year = {2002},
number = {3},
pages = {433--458},
issn = {0010-3616},
mrclass = {82C24 (60F05 60K35 60K37 82C41 82C44)},
mrnumber = {1924363},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1007/s00220-002-0682-7},
url = {https://doi.org/10.1007/s00220-002-0682-7}
}
@Article{ gravner.tracy.ea:02:growth,
author = {Gravner, Janko and Tracy, Craig A. and Widom, Harold},
title = {A growth model in a random environment},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {30},
year = {2002},
number = {3},
pages = {1340--1368},
issn = {0091-1798},
mrclass = {60K37 (82B44)},
mrnumber = {1920110},
doi = {10.1214/aop/1029867130},
url = {https://doi.org/10.1214/aop/1029867130}
}
@Article{ greven.hollander.ea:14:renormalisation,
author = {Greven, A. and den Hollander, F. and Kliem, S. and
Klimovsky, A.},
title = {Renormalisation of hierarchically interacting {C}annings
processes},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {11},
year = {2014},
number = {1},
pages = {43--140},
issn = {1980-0436},
mrclass = {60J25 (60G57 60J60 60J75 60K35 82C28 92D25)},
mrnumber = {3194010}
}
@Article{ greven.hollander.ea:18:hierarchical,
author = {Greven, Andreas and den Hollander, Frank and Klimovsky,
Anton},
title = {The hierarchical {C}annings process in random
environment},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {15},
year = {2018},
number = {1},
pages = {295--351},
issn = {1980-0436},
mrclass = {60J25 (60G57 60J60 60J75 60K35 60K37 82C28 92D25)},
mrnumber = {3795451},
doi = {10.30757/alea.v15-14},
url = {https://doi.org/10.30757/alea.v15-14}
}
@Article{ greven.hollander:07:phase,
author = {Greven, A. and den Hollander, F.},
title = {Phase transitions for the long-time behavior of
interacting diffusions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {4},
pages = {1250--1306},
issn = {0091-1798},
mrclass = {60K35 (60F10 60J60 82C26)},
mrnumber = {2330971},
mrreviewer = {Jan M. Swart},
doi = {10.1214/009117906000001060},
url = {https://doi.org/10.1214/009117906000001060}
}
@Article{ greven.hollander:92:branching,
author = {Greven, Andreas and den Hollander, Frank},
title = {Branching random walk in random environment: phase
transitions for local and global growth rates},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {91},
year = {1992},
number = {2},
pages = {195--249},
issn = {0178-8051},
mrclass = {60K35 (60J80 82C44)},
mrnumber = {1147615},
mrreviewer = {Klaus Fleischmann},
doi = {10.1007/BF01291424},
url = {https://doi.org/10.1007/BF01291424}
}
@Article{ greven.hollander:93:variational,
author = {Greven, Andreas and den Hollander, Frank},
title = {A variational characterization of the speed of a
one-dimensional self-repellent random walk},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {3},
year = {1993},
number = {4},
pages = {1067--1099},
issn = {1050-5164},
mrclass = {60J15 (60F10)},
mrnumber = {1241035},
mrreviewer = {Bernard Ycart},
url = {http://links.jstor.org/sici?sici=1050-5164(199311)3:4<1067:AVCOTS>2.0.CO;2-Q&origin=MSN}
}
@Article{ greven.hollander:94:large,
author = {Greven, Andreas and den Hollander, Frank},
title = {Large deviations for a random walk in random environment},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {3},
pages = {1381--1428},
issn = {0091-1798},
mrclass = {60J15 (60F10 60K35 82C44)},
mrnumber = {1303649},
mrreviewer = {Thomas Polaski},
url = {http://links.jstor.org/sici?sici=0091-1798(199407)22:3<1381:LDFARW>2.0.CO;2-P&origin=MSN}
}
@Article{ grigorescu.kang.ea:04:behavior,
author = {Grigorescu, Ilie and Kang, Min and Sepp\"{a}l\"{a}inen,
Timo},
title = {Behavior dominated by slow particles in a disordered
asymmetric exclusion process},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {14},
year = {2004},
number = {3},
pages = {1577--1602},
issn = {1050-5164},
mrclass = {60K35 (82C22)},
mrnumber = {2071435},
mrreviewer = {Ellen Saada},
doi = {10.1214/105051604000000387},
url = {https://doi.org/10.1214/105051604000000387}
}
@InCollection{ grimmett.hiemer:02:directed,
author = {Grimmett, Geoffrey and Hiemer, Philipp},
title = {Directed percolation and random walk},
booktitle = {In and out of equilibrium ({M}ambucaba, 2000)},
series = {Progr. Probab.},
volume = {51},
pages = {273--297},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2002},
mrclass = {60K35 (60G50 82B43)},
mrnumber = {1901958},
mrreviewer = {Olle H\"{a}ggstr\"{o}m}
}
@Article{ grimmett.kesten.ea:93:random,
author = {Grimmett, G. R. and Kesten, H. and Zhang, Y.},
title = {Random walk on the infinite cluster of the percolation
model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {96},
year = {1993},
number = {1},
pages = {33--44},
issn = {0178-8051},
mrclass = {60J15 (60K35 82B43 82D30)},
mrnumber = {1222363},
mrreviewer = {Pablo A. Ferrari},
doi = {10.1007/BF01195881},
url = {https://doi.org/10.1007/BF01195881}
}
@Article{ grimmett.li:17:self-avoiding,
author = {Grimmett, Geoffrey R. and Li, Zhongyang},
title = {Self-avoiding walks and amenability},
journal = {Electron. J. Combin.},
fjournal = {Electronic Journal of Combinatorics},
volume = {24},
year = {2017},
number = {4},
pages = {Paper No. 4.38, 24},
mrclass = {05C25 (05A16 05C63 20F65 60K35 82B41)},
mrnumber = {3743101},
mrreviewer = {Valery A. Liskovets},
doi = {10.37236/6577},
url = {https://doi.org/10.37236/6577}
}
@Book{ grimmett.stirzaker:20:probability,
author = {Grimmett, Geoffrey R. and Stirzaker, David R.},
title = {Probability and random processes},
note = {Fourth edition [of 0667520]},
publisher = {Oxford University Press, Oxford},
year = {2020},
pages = {xii+669},
isbn = {978-0-19-884759-5; 978-0-19-884760-1},
mrclass = {60-01},
mrnumber = {4229142}
}
@Book{ grimmett:99:percolation,
author = {Grimmett, Geoffrey},
title = {Percolation},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {321},
edition = {Second},
publisher = {Springer-Verlag, Berlin},
year = {1999},
pages = {xiv+444},
isbn = {3-540-64902-6},
mrclass = {60K35 (60-02 82B43)},
mrnumber = {1707339},
mrreviewer = {Neal Madras},
doi = {10.1007/978-3-662-03981-6},
url = {https://doi.org/10.1007/978-3-662-03981-6}
}
@Article{ gripenberg:80:on,
author = {Gripenberg, Gustaf},
title = {On the resolvents of nonconvolution {V}olterra kernels},
journal = {Funkcial. Ekvac.},
fjournal = {Funkcialaj Ekvacioj. Serio Internacia},
volume = {23},
year = {1980},
number = {1},
pages = {83--95},
issn = {0532-8721},
mrclass = {45D05 (45A05)},
mrnumber = {586277},
mrreviewer = {G. S. Jordan},
url = {http://www.math.kobe-u.ac.jp/~fe/xml/mr0586277.xml}
}
@Book{ grisvard:85:elliptic,
author = {Grisvard, Pierre},
title = {Elliptic problems in nonsmooth domains},
series = {Monographs and Studies in Mathematics},
volume = {24},
publisher = {Pitman (Advanced Publishing Program), Boston, MA},
year = {1985},
pages = {xiv+410},
isbn = {0-273-08647-2},
mrclass = {35J25 (35-02)},
mrnumber = {775683},
mrreviewer = {P. Szeptycki}
}
@Article{ gro-kinsky.klingenberg.ea:04:rigorous,
author = {Gro\ss kinsky, S. and Klingenberg, C. and Oelschl\"{a}ger,
K.},
title = {A rigorous derivation of {S}moluchowski's equation in the
moderate limit},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {22},
year = {2004},
number = {1},
pages = {113--141},
issn = {0736-2994,1532-9356},
mrclass = {82C22 (35K57 60H10 85A04)},
mrnumber = {2033992},
mrreviewer = {Madalina\ Deaconu},
doi = {10.1081/SAP-120028026},
url = {https://doi.org/10.1081/SAP-120028026}
}
@Article{ groeneboom.wellner:01:computing,
author = {Groeneboom, Piet and Wellner, Jon A.},
title = {Computing {C}hernoff's distribution},
journal = {J. Comput. Graph. Statist.},
fjournal = {Journal of Computational and Graphical Statistics},
volume = {10},
year = {2001},
number = {2},
pages = {388--400},
issn = {1061-8600},
mrclass = {62G05 (60J65)},
mrnumber = {1939706},
doi = {10.1198/10618600152627997},
url = {https://doi.org/10.1198/10618600152627997}
}
@Article{ groesen.mainardi:89:energy,
author = {van Groesen, Embrecht and Mainardi, Francesco},
title = {Energy propagation in dissipative systems. {I}.
{C}entrovelocity for linear systems},
journal = {Wave Motion},
fjournal = {Wave Motion. An International Journal Reporting Research
on Wave Phenomena},
volume = {11},
year = {1989},
number = {3},
pages = {201--209},
issn = {0165-2125},
mrclass = {73B99 (73D99)},
mrnumber = {1002936},
mrreviewer = {K. S. Harinath},
doi = {10.1016/0165-2125(89)90001-2},
url = {https://doi.org/10.1016/0165-2125(89)90001-2}
}
@Article{ groesen.mainardi:90:balance,
author = {van Groesen, E. and Mainardi, F.},
title = {Balance laws and centro velocity in dissipative systems},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {31},
year = {1990},
number = {9},
pages = {2136--2140},
issn = {0022-2488},
mrclass = {35Q30 (35Q53 73B99 76D05)},
mrnumber = {1067829},
mrreviewer = {Giovanni P. Galdi},
doi = {10.1063/1.528666},
url = {https://doi.org/10.1063/1.528666}
}
@Article{ groisman:06:totally,
author = {Groisman, Pablo},
title = {Totally discrete explicit and semi-implicit {E}uler
methods for a blow-up problem in several space dimensions},
journal = {Computing},
fjournal = {Computing. Archives for Scientific Computing},
volume = {76},
year = {2006},
number = {3-4},
pages = {325--352},
issn = {0010-485X},
mrclass = {65M12 (35K20 35K55 65M06 65M55)},
mrnumber = {2210101},
mrreviewer = {Jaan Janno},
doi = {10.1007/s00607-005-0136-0},
url = {https://doi.org/10.1007/s00607-005-0136-0}
}
@Book{ gromak.laine.ea:02:painleve,
author = {Gromak, Valerii I. and Laine, Ilpo and Shimomura, Shun},
title = {Painlev\'{e} differential equations in the complex plane},
series = {De Gruyter Studies in Mathematics},
volume = {28},
publisher = {Walter de Gruyter \& Co., Berlin},
year = {2002},
pages = {viii+303},
isbn = {3-11-017379-4},
mrclass = {34M05 (30D05 30D35 34M10 34M55 37K20)},
mrnumber = {1960811},
mrreviewer = {Andrei A. Kapaev},
doi = {10.1515/9783110198096},
url = {https://doi.org/10.1515/9783110198096}
}
@Article{ grorud.nualart.ea:94:hilbert-valued,
author = {Grorud, Axel and Nualart, David and Sanz-Sol\'{e}, Marta},
title = {Hilbert-valued anticipating stochastic differential
equations},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {30},
year = {1994},
number = {1},
pages = {133--161},
issn = {0246-0203},
mrclass = {60H10},
mrnumber = {1262894},
mrreviewer = {Peter Imkeller},
url = {http://www.numdam.org/item?id=AIHPB_1994__30_1_133_0}
}
@Article{ gross.klebanov:90:one-dimensional,
author = {Gross, David J. and Klebanov, Igor},
title = {One-dimensional string theory on a circle},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {344},
year = {1990},
number = {3},
pages = {475--498},
issn = {0550-3213},
mrclass = {81T30 (81T27 82B20)},
mrnumber = {1076752},
doi = {10.1016/0550-3213(90)90667-3},
url = {https://doi.org/10.1016/0550-3213(90)90667-3}
}
@Article{ gross.miljkovic:90:nonperturbative,
author = {Gross, David J. and Miljkovi\'{c}, Nikola},
title = {A nonperturbative solution of {$D=1$} string theory},
journal = {Phys. Lett. B},
fjournal = {Physics Letters. B. Particle Physics, Nuclear Physics and
Cosmology},
volume = {238},
year = {1990},
number = {2-4},
pages = {217--223},
issn = {0370-2693},
mrclass = {81T30 (81T16)},
mrnumber = {1050721},
doi = {10.1016/0370-2693(90)91724-P},
url = {https://doi.org/10.1016/0370-2693(90)91724-P}
}
@InProceedings{ gross:67:abstract,
author = {Gross, Leonard},
title = {Abstract {W}iener spaces},
booktitle = {Proc. {F}ifth {B}erkeley {S}ympos. {M}ath. {S}tatist. and
{P}robability ({B}erkeley, {C}alif., 1965/66), {V}ol. {II}:
{C}ontributions to {P}robability {T}heory, {P}art 1},
pages = {31--42},
publisher = {Univ. California Press, Berkeley, Calif.},
year = {1967},
mrclass = {28.46 (46.45)},
mrnumber = {0212152},
mrreviewer = {R. A. Gangolli}
}
@Article{ grothaus.oliveira.ea:11:self-avoiding,
author = {Grothaus, Martin and Oliveira, Maria Jo\~{a}o and da
Silva, Jos\'{e} Lu\'{i}s and Streit, Ludwig},
title = {Self-avoiding fractional {B}rownian motion---the {E}dwards
model},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {145},
year = {2011},
number = {6},
pages = {1513--1523},
issn = {0022-4715},
mrclass = {60G22 (60J55)},
mrnumber = {2863718},
mrreviewer = {Noemi Kurt},
doi = {10.1007/s10955-011-0344-2},
url = {https://doi.org/10.1007/s10955-011-0344-2}
}
@Article{ gruter.widman:82:green,
author = {Gr\"{u}ter, Michael and Widman, Kjell-Ove},
title = {The {G}reen function for uniformly elliptic equations},
journal = {Manuscripta Math.},
fjournal = {Manuscripta Mathematica},
volume = {37},
year = {1982},
number = {3},
pages = {303--342},
issn = {0025-2611},
mrclass = {35J25 (31B35)},
mrnumber = {657523},
mrreviewer = {V. M. Isakov},
doi = {10.1007/BF01166225},
url = {https://doi.org/10.1007/BF01166225}
}
@Article{ gu.bal:12:random,
author = {Gu, Yu and Bal, Guillaume},
title = {Random homogenization and convergence to integrals with
respect to the {R}osenblatt process},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {253},
year = {2012},
number = {4},
pages = {1069--1087},
issn = {0022-0396},
mrclass = {35B27 (35J25)},
mrnumber = {2925905},
doi = {10.1016/j.jde.2012.05.007},
url = {https://doi.org/10.1016/j.jde.2012.05.007}
}
@Article{ gu.bal:14:invariance,
author = {Gu, Yu and Bal, Guillaume},
title = {An invariance principle for {B}rownian motion in random
scenery},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
pages = {no. 1, 19},
mrclass = {60J65 (60F05 60F17 60K37)},
mrnumber = {3164754},
doi = {10.1214/EJP.v19-2894},
url = {https://doi.org/10.1214/EJP.v19-2894}
}
@Article{ gu.bal:15:fluctuations,
author = {Gu, Yu and Bal, Guillaume},
title = {Fluctuations of parabolic equations with large random
potentials},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {3},
year = {2015},
number = {1},
pages = {1--51},
issn = {2194-0401},
mrclass = {35B27 (35K05 35R60 60F05 60G44 60K37)},
mrnumber = {3312591},
mrreviewer = {Alexander A. Pankov},
doi = {10.1007/s40072-014-0040-8},
url = {https://doi.org/10.1007/s40072-014-0040-8}
}
@Article{ gu.bal:15:homogenization,
author = {Gu, Yu and Bal, Guillaume},
title = {Homogenization of parabolic equations with large
time-dependent random potential},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {1},
pages = {91--115},
issn = {0304-4149},
mrclass = {60H25 (35K10 35R60 60H15)},
mrnumber = {3274693},
doi = {10.1016/j.spa.2014.07.024},
url = {https://doi.org/10.1016/j.spa.2014.07.024}
}
@Article{ gu.bal:16:weak,
author = {Gu, Yu and Bal, Guillaume},
title = {Weak convergence approach for parabolic equations with
large, highly oscillatory, random potential},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {52},
year = {2016},
number = {1},
pages = {261--285},
issn = {0246-0203},
mrclass = {35B27 (35K40 60F05 60G44 60H15 60K37)},
mrnumber = {3449303},
mrreviewer = {Taras A. Mel{\cprime}nyk},
doi = {10.1214/14-AIHP637},
url = {https://doi.org/10.1214/14-AIHP637}
}
@Article{ gu.henderson:21:pde,
author = {Gu, Yu and Henderson, Christopher},
title = {A {PDE} hierarchy for directed polymers in random
environments},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {34},
year = {2021},
number = {10},
pages = {7335--7370},
issn = {0951-7715},
mrclass = {82D60 (35K57 60H15)},
mrnumber = {4321407},
mrreviewer = {G\"{o}khan Yi ldi ri m},
doi = {10.1088/1361-6544/ac23b7},
url = {https://doi.org/10.1088/1361-6544/ac23b7}
}
@Article{ gu.henderson:23:long-time,
author = {Gu, Yu and Henderson, Christopher},
title = {Long-time behaviour for a nonlocal model from directed
polymers},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {36},
year = {2023},
number = {2},
pages = {902--954},
issn = {0951-7715},
mrclass = {82D60 (35K57 60H15)},
mrnumber = {4527140}
}
@Article{ gu.huang:18:chaos,
author = {Gu, Yu and Huang, Jingyu},
title = {Chaos expansion of 2{D} parabolic {A}nderson model},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {23},
year = {2018},
pages = {Paper No. 26, 10},
mrclass = {60H15 (35R60 60H07)},
mrnumber = {3798237},
mrreviewer = {Robert C. Dalang},
doi = {10.1214/18-ECP129},
url = {https://doi.org/10.1214/18-ECP129}
}
@Article{ gu.komorowski.ea:18:fluctuations,
author = {Gu, Yu and Komorowski, Tomasz and Ryzhik, Lenya},
title = {Fluctuations of random semilinear advection equations},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {50},
year = {2018},
number = {5},
pages = {5293--5336},
issn = {0036-1410},
mrclass = {60K37 (35B25 35R60)},
mrnumber = {3860120},
doi = {10.1137/18M116842X},
url = {https://doi.org/10.1137/18M116842X}
}
@Article{ gu.komorowski.ea:18:schrodinger,
author = {Gu, Yu and Komorowski, Tomasz and Ryzhik, Lenya},
title = {The {S}chr\"{o}dinger equation with spatial white noise:
the average wave function},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {274},
year = {2018},
number = {7},
pages = {2113--2138},
issn = {0022-1236},
mrclass = {35Q41 (35R60)},
mrnumber = {3762097},
mrreviewer = {Gaetano Siciliano},
doi = {10.1016/j.jfa.2018.01.015},
url = {https://doi.org/10.1016/j.jfa.2018.01.015}
}
@Article{ gu.komorowski:21:gaussian,
author = {Gu, Yu and Komorowski, Tomasz},
title = {Gaussian fluctuations from random {S}chr\"{o}dinger
equation},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {46},
year = {2021},
number = {2},
pages = {201--232},
issn = {0360-5302},
mrclass = {60H15 (35Q55 35R60)},
mrnumber = {4207947},
doi = {10.1080/03605302.2020.1836493},
url = {https://doi.org/10.1080/03605302.2020.1836493}
}
@Article{ gu.komorowski:21:high,
title = {High temperature behaviors of the directed polymer on a
cylinder},
author = {Yu Gu and Tomasz Komorowski},
year = {2021},
month = {October},
journal = {Preprint arXiv:2110.07368},
url = {https://www.arxiv.org/abs/2110.07368}
}
@Article{ gu.komorowski:21:kpz,
title = {KPZ on torus: Gaussian fluctuations},
author = {Yu Gu and Tomasz Komorowski},
year = {2021},
month = {April},
journal = {Preprint arXiv:2104.13540},
url = {https://www.arxiv.org/abs/2104.13540}
}
@Article{ gu.komorowski:22:another,
title = {Another look at the Bal\'azs-Quastel-Sepp\"al\"ainen
theorem},
author = {Yu Gu and Tomasz Komorowski},
year = {2022},
month = {March},
journal = {Preprint arXiv:2203.03733},
url = {https://www.arxiv.org/abs/2203.03733}
}
@Article{ gu.komorowski:22:gaussian,
author = {Gu, Yu and Komorowski, Tomasz},
title = {Gaussian fluctuations of replica overlap in directed
polymers},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {27},
year = {2022},
pages = {Paper No. 33, 12},
mrclass = {60H15 (60H07 82D60)},
mrnumber = {4458031},
mrreviewer = {Achim Klenke},
doi = {10.18287/2541-7525-2021-27-2-33-47},
url = {https://doi.org/10.18287/2541-7525-2021-27-2-33-47}
}
@Article{ gu.komorowski:22:gaussian*1,
title = {Gaussian fluctuations of replica overlap in directed
polymers},
author = {Yu Gu and Tomasz Komorowski},
year = {2022},
month = {January},
journal = {Preprint arXiv:2201.07097},
url = {https://www.arxiv.org/abs/2201.07097}
}
@Article{ gu.komorowski:22:high,
author = {Gu, Yu and Komorowski, Tomasz},
title = {High temperature behaviors of the directed polymer on a
cylinder},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {186},
year = {2022},
number = {3},
pages = {Paper No. 48, 15},
issn = {0022-4715},
mrclass = {60K35 (60K37 82D60)},
mrnumber = {4379456},
doi = {10.1007/s10955-022-02899-2},
url = {https://doi.org/10.1007/s10955-022-02899-2}
}
@Article{ gu.komorowski:23:another,
author = {Gu, Yu and Komorowski, Tomasz},
title = {Another look at the
{B}al\'{a}zs-{Q}uastel-{S}epp\"{a}l\"{a}inen theorem},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {376},
year = {2023},
number = {4},
pages = {2947--2962},
issn = {0002-9947,1088-6850},
mrclass = {35R60 (60H07 60H15)},
mrnumber = {4557886},
doi = {10.1090/tran/8847},
url = {https://doi.org/10.1090/tran/8847}
}
@Article{ gu.komorowski:23:fluctuations,
author = {Gu, Yu and Komorowski, Tomasz},
title = {Fluctuations of the winding number of a directed polymer
on a cylinder},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {55},
year = {2023},
number = {4},
pages = {3262--3286},
issn = {0036-1410,1095-7154},
mrclass = {82D60 (35B27 60F05)},
mrnumber = {4621930},
doi = {10.1137/22M1512508},
url = {https://doi.org/10.1137/22M1512508}
}
@Article{ gu.komorowski:24:effective,
author = {Gu, Yu and Komorowski, Tomasz},
title = {Effective diffusivities in periodic {KPZ}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {190},
year = {2024},
number = {3-4},
pages = {1007--1061},
issn = {0178-8051,1432-2064},
mrclass = {60K35 (60K37)},
mrnumber = {4811819},
mrreviewer = {Irene\ Crimaldi},
doi = {10.1007/s00440-024-01297-x},
url = {https://doi.org/10.1007/s00440-024-01297-x}
}
@Article{ gu.komorowski:24:kpz,
author = {Gu, Yu and Komorowski, Tomasz},
title = {K{PZ} on torus: {G}aussian fluctuations},
journal = {Ann. Inst. Henri Poincar\'e{} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'e{} Probabilit\'es et
Statistiques},
volume = {60},
year = {2024},
number = {3},
pages = {1570--1618},
issn = {0246-0203,1778-7017},
mrclass = {60H15 (35K05 35Q82 35R60 37A25)},
mrnumber = {4780499},
mrreviewer = {Charles-Edouard\ Br\'ehier},
doi = {10.1214/23-aihp1392},
url = {https://doi.org/10.1214/23-aihp1392}
}
@Article{ gu.li:20:fluctuations,
author = {Gu, Yu and Li, Jiawei},
title = {Fluctuations of a nonlinear stochastic heat equation in
dimensions three and higher},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {52},
year = {2020},
number = {6},
pages = {5422--5440},
issn = {0036-1410},
mrclass = {60H07 (60F05 60G15 60H15)},
mrnumber = {4169750},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1137/19M1296380},
url = {https://doi.org/10.1137/19M1296380}
}
@Article{ gu.mourrat:16:pointwise,
author = {Gu, Yu and Mourrat, Jean-Christophe},
title = {Pointwise two-scale expansion for parabolic equations with
random coefficients},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {166},
year = {2016},
number = {1-2},
pages = {585--618},
issn = {0178-8051},
mrclass = {35B27 (35K15 35R60 60F05 60G44 60K37)},
mrnumber = {3547747},
doi = {10.1007/s00440-015-0667-z},
url = {https://doi.org/10.1007/s00440-015-0667-z}
}
@Article{ gu.mourrat:16:scaling,
author = {Gu, Yu and Mourrat, Jean-Christophe},
title = {Scaling limit of fluctuations in stochastic
homogenization},
journal = {Multiscale Model. Simul.},
fjournal = {Multiscale Modeling \& Simulation. A SIAM
Interdisciplinary Journal},
volume = {14},
year = {2016},
number = {1},
pages = {452--481},
issn = {1540-3459},
mrclass = {35B27 (35J15 35R60 60G15 60G60)},
mrnumber = {3477309},
mrreviewer = {Alexander A. Pankov},
doi = {10.1137/15M1010683},
url = {https://doi.org/10.1137/15M1010683}
}
@Article{ gu.mourrat:17:on,
author = {Gu, Yu and Mourrat, Jean-Christophe},
title = {On generalized {G}aussian free fields and stochastic
homogenization},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 28, 21},
mrclass = {60G60 (35B27 35R60 60G15)},
mrnumber = {3629872},
doi = {10.1214/17-EJP51},
url = {https://doi.org/10.1214/17-EJP51}
}
@Article{ gu.pu:25:spatial,
title = {Spatial decorrelation of KPZ from narrow wedge},
author = {Yu Gu and Fei Pu},
year = {2025},
month = {June},
journal = {Preprint arXiv:2506.23065},
url = {http://arXiv.org/abs/2506.23065}
}
@Article{ gu.quastel.ea:21:moments,
author = {Gu, Yu and Quastel, Jeremy and Tsai, Li-Cheng},
title = {Moments of the 2{D} {SHE} at criticality},
journal = {Probab. Math. Phys.},
fjournal = {Probability and Mathematical Physics},
volume = {2},
year = {2021},
number = {1},
pages = {179--219},
issn = {2690-0998},
mrclass = {60H15 (35R60 46N30 82D60)},
mrnumber = {4404819},
doi = {10.2140/pmp.2021.2.179},
url = {https://doi.org/10.2140/pmp.2021.2.179}
}
@Article{ gu.ryzhik.ea:18:edwards-wilkinson,
author = {Gu, Yu and Ryzhik, Lenya and Zeitouni, Ofer},
title = {The {E}dwards-{W}ilkinson limit of the random heat
equation in dimensions three and higher},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {363},
year = {2018},
number = {2},
pages = {351--388},
issn = {0010-3616},
mrclass = {60H15},
mrnumber = {3851818},
mrreviewer = {Hongbo Fu},
doi = {10.1007/s00220-018-3202-0},
url = {https://doi.org/10.1007/s00220-018-3202-0}
}
@Article{ gu.ryzhik:16:random,
author = {Gu, Yu and Ryzhik, Lenya},
title = {The random {S}chr\"{o}dinger equation: homogenization in
time-dependent potentials},
journal = {Multiscale Model. Simul.},
fjournal = {Multiscale Modeling \& Simulation. A SIAM
Interdisciplinary Journal},
volume = {14},
year = {2016},
number = {1},
pages = {323--363},
issn = {1540-3459},
mrclass = {35J10 (35B27 60F05)},
mrnumber = {3466192},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1137/15M1024986},
url = {https://doi.org/10.1137/15M1024986}
}
@Article{ gu.ryzhik:17:random,
author = {Gu, Yu and Ryzhik, Lenya},
title = {The random {S}chr\"{o}dinger equation: slowly
decorrelating time-dependent potentials},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {15},
year = {2017},
number = {2},
pages = {359--378},
issn = {1539-6746},
mrclass = {35Q41 (35B27 35R60 60H25 82C10)},
mrnumber = {3620562},
mrreviewer = {William R. Green},
doi = {10.4310/CMS.2017.v15.n2.a4},
url = {https://doi.org/10.4310/CMS.2017.v15.n2.a4}
}
@Article{ gu.tsai:19:another,
author = {Gu, Yu and Tsai, Li-Cheng},
title = {Another look into the {W}ong-{Z}akai theorem for
stochastic heat equation},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {29},
year = {2019},
number = {5},
pages = {3037--3061},
issn = {1050-5164},
mrclass = {35R60 (35K15 60H07 60H15)},
mrnumber = {4019882},
mrreviewer = {Luigi Amedeo Bianchi},
doi = {10.1214/19-AAP1474},
url = {https://doi.org/10.1214/19-AAP1474}
}
@Article{ gu.xu:18:moments,
author = {Gu, Yu and Xu, Weijun},
title = {Moments of 2{D} parabolic {A}nderson model},
journal = {Asymptot. Anal.},
fjournal = {Asymptotic Analysis},
volume = {108},
year = {2018},
number = {3},
pages = {151--161},
issn = {0921-7134},
mrclass = {35K15 (35B25 35C05)},
mrnumber = {3817383},
doi = {10.3233/asy-171460},
url = {https://doi.org/10.3233/asy-171460}
}
@Book{ gu:14:probabilistic,
author = {Gu, Yu},
title = {Probabilistic {A}pproaches to {P}artial {D}ifferential
{E}quations with {L}arge {R}andom {P}otentials},
note = {Thesis (Ph.D.)--Columbia University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2014},
pages = {143},
isbn = {978-1303-89646-0},
mrclass = {Thesis},
mrnumber = {3232360},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3619978}
}
@Article{ gu:16:central,
author = {Gu, Yu},
title = {A central limit theorem for fluctuations in 1{D}
stochastic homogenization},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {4},
year = {2016},
number = {4},
pages = {713--745},
issn = {2194-0401},
mrclass = {60F05 (35B27 35K05 60G44 60K37)},
mrnumber = {3554429},
doi = {10.1007/s40072-016-0075-0},
url = {https://doi.org/10.1007/s40072-016-0075-0}
}
@Article{ gu:17:high,
author = {Gu, Yu},
title = {High order correctors and two-scale expansions in
stochastic homogenization},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {169},
year = {2017},
number = {3-4},
pages = {1221--1259},
issn = {0178-8051},
mrclass = {35B27 (34E05 35C20 35J15 35R60 60H25)},
mrnumber = {3719066},
mrreviewer = {Eugenia P\'{e}rez},
doi = {10.1007/s00440-016-0750-0},
url = {https://doi.org/10.1007/s00440-016-0750-0}
}
@Article{ gu:19:1d,
author = {Gu, Yu},
title = {The 1{D} {S}chr\"{o}dinger equation with a spacetime white
noise: the average wave function},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {23},
year = {2019},
pages = {338--349},
issn = {1292-8100},
mrclass = {35R60 (35Q40 60H15)},
mrnumber = {3963531},
doi = {10.1051/ps/2019010},
url = {https://doi.org/10.1051/ps/2019010}
}
@Article{ gu:20:gaussian,
author = {Gu, Yu},
title = {Gaussian fluctuations from the 2{D} {KPZ} equation},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {8},
year = {2020},
number = {1},
pages = {150--185},
issn = {2194-0401},
mrclass = {35R60 (60H07 60H15)},
mrnumber = {4058958},
doi = {10.1007/s40072-019-00144-8},
url = {https://doi.org/10.1007/s40072-019-00144-8}
}
@Article{ gubinelli.hofmanova:19:global,
author = {Gubinelli, Massimiliano and Hofmanov\'{a}, Martina},
title = {Global solutions to elliptic and parabolic {$\Phi^4$}
models in {E}uclidean space},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {368},
year = {2019},
number = {3},
pages = {1201--1266},
issn = {0010-3616},
mrclass = {35Q40 (35J91 35K91 35R60 60H15 60H99 81T17 82C31)},
mrnumber = {3951704},
mrreviewer = {Peter Bernard Weichman},
doi = {10.1007/s00220-019-03398-4},
url = {https://doi.org/10.1007/s00220-019-03398-4}
}
@Article{ gubinelli.hofmanova:21:pde,
author = {Gubinelli, Massimiliano and Hofmanov\'{a}, Martina},
title = {A {PDE} construction of the {E}uclidean {$\phi_3^4$}
quantum field theory},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {384},
year = {2021},
number = {1},
pages = {1--75},
issn = {0010-3616},
mrclass = {81S20 (35Q40 37D35 37E20 60G60 81T08 81T27 82B31)},
mrnumber = {4252872},
mrreviewer = {Peter Bernard Weichman},
doi = {10.1007/s00220-021-04022-0},
url = {https://doi.org/10.1007/s00220-021-04022-0}
}
@Article{ gubinelli.imkeller.ea:15:paracontrolled,
author = {Gubinelli, Massimiliano and Imkeller, Peter and Perkowski,
Nicolas},
title = {Paracontrolled distributions and singular {PDE}s},
journal = {Forum Math. Pi},
fjournal = {Forum of Mathematics. Pi},
volume = {3},
year = {2015},
pages = {e6, 75},
mrclass = {60H15 (35S50)},
mrnumber = {3406823},
doi = {10.1017/fmp.2015.2},
url = {https://doi.org/10.1017/fmp.2015.2}
}
@Article{ gubinelli.koch.ea:18:renormalization,
author = {Gubinelli, Massimiliano and Koch, Herbert and Oh,
Tadahiro},
title = {Renormalization of the two-dimensional stochastic
nonlinear wave equations},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {370},
year = {2018},
number = {10},
pages = {7335--7359},
issn = {0002-9947},
mrclass = {35L71 (35L15 35R60 60H15)},
mrnumber = {3841850},
mrreviewer = {Jan I. Seidler},
doi = {10.1090/tran/7452},
url = {https://doi.org/10.1090/tran/7452}
}
@Article{ gubinelli.koch.ea:22:global,
author = {Gubinelli, Massimiliano and Koch, Herbert and Oh, Tadahiro
and Tolomeo, Leonardo},
title = {Global dynamics for the two-dimensional stochastic
nonlinear wave equations},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2022},
number = {21},
pages = {16954--16999},
issn = {1073-7928},
mrclass = {60H15 (58J45)},
mrnumber = {4504911},
mrreviewer = {Le Chen},
doi = {10.1093/imrn/rnab084},
url = {https://doi.org/10.1093/imrn/rnab084}
}
@Article{ gubinelli.koch.ea:24:paracontrolled,
author = {Gubinelli, Massimiliano and Koch, Herbert and Oh,
Tadahiro},
title = {Paracontrolled approach to the three-dimensional
stochastic nonlinear wave equation with quadratic
nonlinearity},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {26},
year = {2024},
number = {3},
pages = {817--874},
issn = {1435-9855},
mrclass = {35L71 (35L81 35R60 60H15)},
mrnumber = {4721025},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.4171/jems/1294},
url = {https://doi.org/10.4171/jems/1294}
}
@Article{ gubinelli.lejay.ea:06:young,
author = {Gubinelli, Massimiliano and Lejay, Antoine and Tindel,
Samy},
title = {Young integrals and {SPDE}s},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {25},
year = {2006},
number = {4},
pages = {307--326},
issn = {0926-2601},
mrclass = {60H15 (47D06 60H05)},
mrnumber = {2255351},
mrreviewer = {Victoria Knopova},
doi = {10.1007/s11118-006-9013-5},
url = {https://doi.org/10.1007/s11118-006-9013-5}
}
@Article{ gubinelli.perkowski:17:kpz,
author = {Gubinelli, Massimiliano and Perkowski, Nicolas},
title = {K{PZ} reloaded},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {349},
year = {2017},
number = {1},
pages = {165--269},
issn = {0010-3616},
mrclass = {60H15 (58J65)},
mrnumber = {3592748},
mrreviewer = {Peter Karl Friz},
doi = {10.1007/s00220-016-2788-3},
url = {https://doi.org/10.1007/s00220-016-2788-3}
}
@Article{ gubinelli.perkowski:18:energy,
author = {Gubinelli, Massimiliano and Perkowski, Nicolas},
title = {Energy solutions of {KPZ} are unique},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {31},
year = {2018},
number = {2},
pages = {427--471},
issn = {0894-0347},
mrclass = {60H15},
mrnumber = {3758149},
mrreviewer = {Jiang Lun Wu},
doi = {10.1090/jams/889},
url = {https://doi.org/10.1090/jams/889}
}
@InCollection{ gubinelli.perkowski:18:introduction,
author = {Gubinelli, Massimiliano and Perkowski, Nicolas},
title = {An introduction to singular {SPDE}s},
booktitle = {Stochastic partial differential equations and related
fields},
series = {Springer Proc. Math. Stat.},
volume = {229},
pages = {69--99},
publisher = {Springer, Cham},
year = {2018},
mrclass = {60H15 (35R60)},
mrnumber = {3828162},
mrreviewer = {Jingyu Huang},
doi = {10.1007/978-3-319-74929-7\_4},
url = {https://doi.org/10.1007/978-3-319-74929-7_4}
}
@Article{ gubinelli.perkowski:20:infinitesimal,
author = {Gubinelli, Massimiliano and Perkowski, Nicolas},
title = {The infinitesimal generator of the stochastic {B}urgers
equation},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {178},
year = {2020},
number = {3-4},
pages = {1067--1124},
issn = {0178-8051},
mrclass = {60H17},
mrnumber = {4168394},
mrreviewer = {G. Cannizzaro},
doi = {10.1007/s00440-020-00996-5},
url = {https://doi.org/10.1007/s00440-020-00996-5}
}
@Article{ gubinelli.tindel:10:rough,
author = {Gubinelli, Massimiliano and Tindel, Samy},
title = {Rough evolution equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {1},
pages = {1--75},
issn = {0091-1798},
mrclass = {60H15 (47H20 47N30 60G15 60G22 60H05)},
mrnumber = {2599193},
mrreviewer = {Keisuke Hara},
doi = {10.1214/08-AOP437},
url = {https://doi.org/10.1214/08-AOP437}
}
@Article{ gubinelli.ugurcan.ea:20:semilinear,
author = {Gubinelli, M. and Ugurcan, B. and Zachhuber, I.},
title = {Semilinear evolution equations for the {A}nderson
{H}amiltonian in two and three dimensions},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {8},
year = {2020},
number = {1},
pages = {82--149},
issn = {2194-0401},
mrclass = {60H17 (34K08 35B10 35L71 35Q55 35R60 60H50 60L30)},
mrnumber = {4058957},
mrreviewer = {D. Erhard},
doi = {10.1007/s40072-019-00143-9},
url = {https://doi.org/10.1007/s40072-019-00143-9}
}
@Article{ gubinelli:04:controlling,
author = {Gubinelli, M.},
title = {Controlling rough paths},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {216},
year = {2004},
number = {1},
pages = {86--140},
issn = {0022-1236},
mrclass = {60H05 (26A42 60H10)},
mrnumber = {2091358},
mrreviewer = {Vigirdas Mackevi\v{c}ius},
doi = {10.1016/j.jfa.2004.01.002},
url = {https://doi.org/10.1016/j.jfa.2004.01.002}
}
@Article{ gubser.klebanov:94:modified,
author = {Gubser, Steven S. and Klebanov, Igor R.},
title = {A modified {$c=1$} matrix model with new critical
behavior},
journal = {Phys. Lett. B},
fjournal = {Physics Letters. B. Particle Physics, Nuclear Physics and
Cosmology},
volume = {340},
year = {1994},
number = {1-2},
pages = {35--42},
issn = {0370-2693},
mrclass = {81T40 (81T27)},
mrnumber = {1304657},
mrreviewer = {Yolanda Lozano},
doi = {10.1016/0370-2693(94)91294-7},
url = {https://doi.org/10.1016/0370-2693(94)91294-7}
}
@Article{ guerin.meleard.ea:06:estimates,
author = {Gu\'{e}rin, H\'{e}l\`ene and M\'{e}l\'{e}ard, Sylvie and
Nualart, Eulalia},
title = {Estimates for the density of a nonlinear {L}andau
process},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {238},
year = {2006},
number = {2},
pages = {649--677},
issn = {0022-1236},
mrclass = {60H07 (60H10 60H20)},
mrnumber = {2253737},
mrreviewer = {Robert C. Dalang},
doi = {10.1016/j.jfa.2006.01.017},
url = {https://doi.org/10.1016/j.jfa.2006.01.017}
}
@Article{ guerngar.nane.ea:21:simultaneous,
author = {Guerngar, Ngartelbaye and Nane, Erkan and Tinaztepe,
Ramazan and Ulusoy, Suleyman and Van Wyk, Hans Werner},
title = {Simultaneous inversion for the fractional exponents in the
space-time fractional diffusion equation {$\partial_t^\beta
u=-(-\Delta)^{\alpha/2}u- (-\Delta)^{\gamma/2}u$}},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis},
volume = {24},
year = {2021},
number = {3},
pages = {818--847},
issn = {1311-0454},
mrclass = {35R11 (35R30 45K05 65M32)},
mrnumber = {4276334},
doi = {10.1515/fca-2021-0035},
url = {https://doi.org/10.1515/fca-2021-0035}
}
@Article{ guerngar.nane.ea:23:uniqueness,
author = {Guerngar, Ngartelbaye and Nane, Erkan and Ulusoy, Suleyman
and van Wyk, Hans Werner},
title = {A uniqueness determination of the fractional exponents in
a three-parameter fractional diffusion},
journal = {Fract. Differ. Calc.},
fjournal = {Fractional Differential Calculus},
volume = {13},
year = {2023},
number = {1},
pages = {87--104},
mrclass = {35R11 (26A33)},
mrnumber = {4617736},
doi = {10.7153/fdc-2023-13-04},
url = {https://doi.org/10.7153/fdc-2023-13-04}
}
@Article{ guerngar.nane:20:moment,
author = {Guerngar, Ngartelbaye and Nane, Erkan},
title = {Moment bounds of a class of stochastic heat equations
driven by space-time colored noise in bounded domains},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {130},
year = {2020},
number = {10},
pages = {6246--6270},
issn = {0304-4149},
mrclass = {60H15 (35R11 35R60)},
mrnumber = {4140033},
doi = {10.1016/j.spa.2020.05.009},
url = {https://doi.org/10.1016/j.spa.2020.05.009}
}
@Article{ gueron.liron:89:model,
author = {Gueron, Shay and Liron, Nadav},
title = {A model of herd grazing as a travelling wave, chemotaxis
and stability},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {27},
year = {1989},
number = {5},
pages = {595--608},
issn = {0303-6812},
mrclass = {92D50},
mrnumber = {1015014},
mrreviewer = {Yuzo Hosono},
doi = {10.1007/BF00288436},
url = {https://doi.org/10.1007/BF00288436}
}
@Article{ guerra.nualart:05:1h-variation,
author = {Guerra, Jo\~{a}o M. E. and Nualart, David},
title = {The {$1/H$}-variation of the divergence integral with
respect to the fractional {B}rownian motion for {$H>1/2$}
and fractional {B}essel processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {115},
year = {2005},
number = {1},
pages = {91--115},
issn = {0304-4149},
mrclass = {60H05 (60G18 60H07)},
mrnumber = {2105371},
mrreviewer = {M. Z\"{a}hle},
doi = {10.1016/j.spa.2004.07.008},
url = {https://doi.org/10.1016/j.spa.2004.07.008}
}
@Article{ guerra.nualart:08:stochastic,
author = {Guerra, Jo\~{a}o and Nualart, David},
title = {Stochastic differential equations driven by fractional
{B}rownian motion and standard {B}rownian motion},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {26},
year = {2008},
number = {5},
pages = {1053--1075},
issn = {0736-2994},
mrclass = {60H05 (26A33 60H10)},
mrnumber = {2440915},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1080/07362990802286483},
url = {https://doi.org/10.1080/07362990802286483}
}
@Article{ guerra.toninelli:02:thermodynamic,
author = {Guerra, Francesco and Toninelli, Fabio Lucio},
title = {The thermodynamic limit in mean field spin glass models},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {230},
year = {2002},
number = {1},
pages = {71--79},
issn = {0010-3616},
mrclass = {82B44 (82D30)},
mrnumber = {1930572},
mrreviewer = {Peter Eichelsbacher},
doi = {10.1007/s00220-002-0699-y},
url = {https://doi.org/10.1007/s00220-002-0699-y}
}
@Article{ guerra:03:broken,
author = {Guerra, Francesco},
title = {Broken replica symmetry bounds in the mean field spin
glass model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {233},
year = {2003},
number = {1},
pages = {1--12},
issn = {0010-3616},
mrclass = {82B44 (82D30)},
mrnumber = {1957729},
mrreviewer = {Beat M. Niederhauser},
doi = {10.1007/s00220-002-0773-5},
url = {https://doi.org/10.1007/s00220-002-0773-5}
}
@InCollection{ guhr:11:supersymmetry,
author = {Guhr, Thomas},
title = {Supersymmetry},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {135--154},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {81Txx (15B52 60B20)},
mrnumber = {2932627}
}
@Article{ guillarmou.rhodes.ea:19:polyakovs,
author = {Guillarmou, Colin and Rhodes, R\'emi and Vargas, Vincent},
title = {Polyakov's formulation of {$2d$} bosonic string theory},
journal = {Publ. Math. Inst. Hautes \'Etudes Sci.},
fjournal = {Publications Math\'ematiques. Institut de Hautes \'Etudes
Scientifiques},
volume = {130},
year = {2019},
pages = {111--185},
issn = {0073-8301,1618-1913},
mrclass = {81T40 (30F10 32G15 81T30)},
mrnumber = {4028515},
doi = {10.1007/s10240-019-00109-6},
url = {https://doi.org/10.1007/s10240-019-00109-6}
}
@Article{ guionnet.krishnapur.ea:11:single,
author = {Guionnet, Alice and Krishnapur, Manjunath and Zeitouni,
Ofer},
title = {The single ring theorem},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {174},
year = {2011},
number = {2},
pages = {1189--1217},
issn = {0003-486X,1939-8980},
mrclass = {60B20 (15B52)},
mrnumber = {2831116},
mrreviewer = {Walid\ Hachem},
doi = {10.4007/annals.2011.174.2.10},
url = {https://doi.org/10.4007/annals.2011.174.2.10}
}
@Article{ guionnet.wood.ea:14:convergence,
author = {Guionnet, Alice and Wood, Philip Matchett and Zeitouni,
Ofer},
title = {Convergence of the spectral measure of non-normal
matrices},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {142},
year = {2014},
number = {2},
pages = {667--679},
issn = {0002-9939,1088-6826},
mrclass = {60B20 (46L53)},
mrnumber = {3134007},
mrreviewer = {Zakhar\ Kabluchko},
doi = {10.1090/S0002-9939-2013-11761-2},
url = {https://doi.org/10.1090/S0002-9939-2013-11761-2}
}
@Article{ guionnet.zeitouni:00:concentration,
author = {Guionnet, A. and Zeitouni, O.},
title = {Concentration of the spectral measure for large matrices},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {5},
year = {2000},
pages = {119--136},
issn = {1083-589X},
mrclass = {15A52 (15A18 60F10)},
mrnumber = {1781846},
mrreviewer = {Eugene\ Kanzieper},
doi = {10.1214/ECP.v5-1026},
url = {https://doi.org/10.1214/ECP.v5-1026}
}
@Article{ guionnet.zeitouni:02:large,
author = {Guionnet, Alice and Zeitouni, Ofer},
title = {Large deviations asymptotics for spherical integrals},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {188},
year = {2002},
number = {2},
pages = {461--515},
issn = {0022-1236,1096-0783},
mrclass = {60F10 (42B25 43A80 60K35)},
mrnumber = {1883414},
mrreviewer = {Michael\ Voit},
doi = {10.1006/jfan.2001.3833},
url = {https://doi.org/10.1006/jfan.2001.3833}
}
@Article{ guionnet.zeitouni:04:addendum,
author = {Guionnet, Alice and Zeitouni, Ofer},
title = {Addendum to: ``{L}arge deviations asymptotics for
spherical integrals'' [{J}. {F}unct. {A}nal. {\bf 188}
(2002), no. 2, 461--515; MR1883414]},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {216},
year = {2004},
number = {1},
pages = {230--241},
issn = {0022-1236,1096-0783},
mrclass = {60F10 (46L53)},
mrnumber = {2091363},
doi = {10.1016/j.jfa.2003.11.013},
url = {https://doi.org/10.1016/j.jfa.2003.11.013}
}
@Article{ guionnet.zeitouni:12:support,
author = {Guionnet, Alice and Zeitouni, Ofer},
title = {Support convergence in the single ring theorem},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {154},
year = {2012},
number = {3-4},
pages = {661--675},
issn = {0178-8051,1432-2064},
mrclass = {60B20 (46L53 60B10)},
mrnumber = {3000558},
mrreviewer = {Florent\ Benaych-Georges},
doi = {10.1007/s00440-011-0380-5},
url = {https://doi.org/10.1007/s00440-011-0380-5}
}
@Article{ gunaratnam.oh.ea:22:quasi-invariant,
author = {Gunaratnam, Trishen and Oh, Tadahiro and Tzvetkov, Nikolay
and Weber, Hendrik},
title = {Quasi-invariant {G}aussian measures for the nonlinear wave
equation in three dimensions},
journal = {Probab. Math. Phys.},
fjournal = {Probability and Mathematical Physics},
volume = {3},
year = {2022},
number = {2},
pages = {343--379},
issn = {2690-0998},
mrclass = {35L71 (60H30)},
mrnumber = {4452511},
doi = {10.2140/pmp.2022.3.343},
url = {https://doi.org/10.2140/pmp.2022.3.343}
}
@Article{ guneysu:11:multiplicative,
author = {G\"{u}neysu, Batu},
title = {Multiplicative matrix-valued functionals and the
continuity properties of semigroups corresponding to
partial differential operators with matrix-valued
coefficients},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {380},
year = {2011},
number = {2},
pages = {709--725},
issn = {0022-247X},
mrclass = {35J15 (35C05 47D07 60H10)},
mrnumber = {2794426},
mrreviewer = {Pedro Mar\'{i}n Rubio},
doi = {10.1016/j.jmaa.2011.02.038},
url = {https://doi.org/10.1016/j.jmaa.2011.02.038}
}
@Article{ guo.hu.ea:19:higher-order,
author = {Guo, Jingjun and Hu, Yaozhong and Xiao, Yanping},
title = {Higher-order derivative of intersection local time for two
independent fractional {B}rownian motions},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {32},
year = {2019},
number = {3},
pages = {1190--1201},
issn = {0894-9840},
mrclass = {60G22 (60J55)},
mrnumber = {3979665},
mrreviewer = {Tam\'{a}s Szabados},
doi = {10.1007/s10959-017-0800-2},
url = {https://doi.org/10.1007/s10959-017-0800-2}
}
@Article{ guo.li.ea:19:energy,
author = {Guo, Li and Li, Xingjie Helen and Yang, Yang},
title = {Energy dissipative local discontinuous {G}alerkin methods
for {K}eller-{S}egel chemotaxis model},
journal = {J. Sci. Comput.},
fjournal = {Journal of Scientific Computing},
volume = {78},
year = {2019},
number = {3},
pages = {1387--1404},
issn = {0885-7474},
mrclass = {65M60 (92C17)},
mrnumber = {3934671},
mrreviewer = {Sebastian Franz},
doi = {10.1007/s10915-018-0813-8},
url = {https://doi.org/10.1007/s10915-018-0813-8}
}
@Article{ guo.papanicolaou.ea:88:nonlinear,
author = {Guo, M. Z. and Papanicolaou, G. C. and Varadhan, S. R.
S.},
title = {Nonlinear diffusion limit for a system with nearest
neighbor interactions},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {118},
year = {1988},
number = {1},
pages = {31--59},
issn = {0010-3616,1432-0916},
mrclass = {60K35 (60J60)},
mrnumber = {954674},
mrreviewer = {F.\ L.\ Spitzer},
url = {http://projecteuclid.org/euclid.cmp/1104161907}
}
@Article{ guo.song.ea:23:stochastic,
title = {Stochastic fractional diffusion equations with Gaussian
noise rough in space},
author = {Yuhui Guo and Jian Song and Xiaoming Song},
year = {2023},
month = {March},
journal = {Preprint arXiv:2303.11939},
url = {http://arXiv.org/abs/2303.11939}
}
@Article{ guo.song.ea:24:sample,
title = {Sample path properties and small ball probabilities for
stochastic fractional diffusion equations},
author = {Yuhui Guo and Jian Song and Ran Wang and Yimin Xiao},
year = {2024},
month = {November},
journal = {Preprint arXiv:2411.12192},
url = {http://arXiv.org/abs/2411.12192}
}
@Article{ guo.yan.ea:18:approximate,
author = {Guo, Zhongkai and Yan, Xingjie and Wang, Weifeng and Liu,
Xianming},
title = {Approximate the dynamical behavior for stochastic systems
by {W}ong-{Z}akai approaching},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {457},
year = {2018},
number = {1},
pages = {214--232},
issn = {0022-247X,1096-0813},
mrclass = {60H15 (35R60)},
mrnumber = {3702703},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jmaa.2017.08.004},
url = {https://doi.org/10.1016/j.jmaa.2017.08.004}
}
@Article{ guo.zeitouni:12:quenched,
author = {Guo, Xiaoqin and Zeitouni, Ofer},
title = {Quenched invariance principle for random walks in balanced
random environment},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {152},
year = {2012},
number = {1-2},
pages = {207--230},
issn = {0178-8051,1432-2064},
mrclass = {60K37 (60F17 60K35)},
mrnumber = {2875757},
mrreviewer = {Jean\ B\'{e}rard},
doi = {10.1007/s00440-010-0320-9},
url = {https://doi.org/10.1007/s00440-010-0320-9}
}
@Article{ gurel-gurevich.peres.ea:14:localization,
author = {Gurel-Gurevich, Ori and Peres, Yuval and Zeitouni, Ofer},
title = {Localization for controlled random walks and martingales},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {19},
year = {2014},
pages = {no. 24, 8},
issn = {1083-589X},
mrclass = {60G42},
mrnumber = {3208322},
mrreviewer = {Pavel\ Chigansky},
doi = {10.1214/ECP.v19-3081},
url = {https://doi.org/10.1214/ECP.v19-3081}
}
@Article{ gurusamy.balachandran:18:finite,
author = {Gurusamy, A. and Balachandran, K.},
title = {Finite element method for solving {K}eller-{S}egel
chemotaxis system with cross-diffusion},
journal = {Int. J. Dyn. Control},
fjournal = {International Journal of Dynamics and Control},
volume = {6},
year = {2018},
number = {2},
pages = {539--549},
issn = {2195-268X},
mrclass = {65M60 (92C17)},
mrnumber = {3801002},
doi = {10.1007/s40435-017-0335-5},
url = {https://doi.org/10.1007/s40435-017-0335-5}
}
@Article{ guttorp.gneiting:06:studies,
author = {Guttorp, Peter and Gneiting, Tilmann},
title = {Studies in the history of probability and statistics.
{XLIX}. {O}n the {M}at\'{e}rn correlation family},
journal = {Biometrika},
fjournal = {Biometrika},
volume = {93},
year = {2006},
number = {4},
pages = {989--995},
issn = {0006-3444},
mrclass = {62-03 (01A05)},
mrnumber = {2285084},
doi = {10.1093/biomet/93.4.989},
url = {https://doi.org/10.1093/biomet/93.4.989}
}
@Article{ gvalani.schlichting:20:barriers,
author = {Gvalani, Rishabh S. and Schlichting, Andr\'{e}},
title = {Barriers of the {M}c{K}ean-{V}lasov energy via a mountain
pass theorem in the space of probability measures},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {279},
year = {2020},
number = {11},
pages = {108720, 34},
issn = {0022-1236,1096-0783},
mrclass = {35R60 (28A33 35Q83 58E05 60F10 60J60 82C31)},
mrnumber = {4141490},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jfa.2020.108720},
url = {https://doi.org/10.1016/j.jfa.2020.108720}
}
@Article{ gwynne.holden.ea:20:liouville,
author = {Gwynne, Ewain and Holden, Nina and Pfeffer, Joshua and
Remy, Guillaume},
title = {Liouville quantum gravity with matter central charge in
(1, 25): a probabilistic approach},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {376},
year = {2020},
number = {2},
pages = {1573--1625},
issn = {0010-3616},
mrclass = {83C45 (28A78 52C20 60G15 60G60 81T40 82B41)},
mrnumber = {4103975},
mrreviewer = {Yu. N. Obukhov},
doi = {10.1007/s00220-019-03663-6},
url = {https://doi.org/10.1007/s00220-019-03663-6}
}
@Article{ gwynne.pfeffer.ea:23:loewner,
author = {Gwynne, Ewain and Pfeffer, Joshua and Park, Minjae},
title = {Loewner evolution driven by complex {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {51},
year = {2023},
number = {6},
pages = {2086--2130},
issn = {0091-1798},
mrclass = {60J67 (30C20 30C80)},
mrnumber = {4666291},
doi = {10.1214/23-aop1639},
url = {https://doi.org/10.1214/23-aop1639}
}
@Article{ gyongy.krylov:81:on,
author = {Gy\"{o}ngy, I. and Krylov, N. V.},
title = {On stochastics equations with respect to semimartingales.
{II}. {I}t\^{o} formula in {B}anach spaces},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {6},
year = {1981/82},
number = {3-4},
pages = {153--173},
issn = {0090-9491},
mrclass = {60H10},
mrnumber = {665398},
doi = {10.1080/17442508208833202},
url = {https://doi.org/10.1080/17442508208833202}
}
@Article{ gyongy.nualart.ea:95:approximation,
author = {Gy\"{o}ngy, Istv\'{a}n and Nualart, David and
Sanz-Sol\'{e}, Marta},
title = {Approximation and support theorems in modulus spaces},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {101},
year = {1995},
number = {4},
pages = {495--509},
issn = {0178-8051},
mrclass = {60H10},
mrnumber = {1327223},
mrreviewer = {Jan Ub\o e},
doi = {10.1007/BF01202782},
url = {https://doi.org/10.1007/BF01202782}
}
@Article{ gyongy.nualart:95:implicit,
author = {Gy\"{o}ngy, Istv\'{a}n and Nualart, David},
title = {Implicit scheme for quasi-linear parabolic partial
differential equations perturbed by space-time white
noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {58},
year = {1995},
number = {1},
pages = {57--72},
issn = {0304-4149},
mrclass = {65M12 (35R60 60H15 65U05)},
mrnumber = {1341554},
doi = {10.1016/0304-4149(95)00010-5},
url = {https://doi.org/10.1016/0304-4149(95)00010-5}
}
@Article{ gyongy.nualart:97:implicit,
author = {Gy\"{o}ngy, Istv\'{a}n and Nualart, David},
title = {Implicit scheme for stochastic parabolic partial
differential equations driven by space-time white noise},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {7},
year = {1997},
number = {4},
pages = {725--757},
issn = {0926-2601},
mrclass = {60H15 (35K60 35R60 65M06)},
mrnumber = {1480861},
mrreviewer = {Ralf Manthey},
doi = {10.1023/A:1017998901460},
url = {https://doi.org/10.1023/A:1017998901460}
}
@Article{ gyongy.nualart:99:on,
author = {Gy\"{o}ngy, Istv\'{a}n and Nualart, David},
title = {On the stochastic {B}urgers' equation in the real line},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {27},
year = {1999},
number = {2},
pages = {782--802},
issn = {0091-1798},
mrclass = {60H15},
mrnumber = {1698967},
mrreviewer = {Fred Espen Benth},
doi = {10.1214/aop/1022677386},
url = {https://doi.org/10.1214/aop/1022677386}
}
@Article{ gyongy.pardoux:93:on,
author = {Gy\"{o}ngy, Istv\'{a}n and Pardoux, \'{E}.},
title = {On the regularization effect of space-time white noise on
quasi-linear parabolic partial differential equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {97},
year = {1993},
number = {1-2},
pages = {211--229},
issn = {0178-8051},
mrclass = {60H15 (35R60)},
mrnumber = {1240724},
mrreviewer = {Kazuaki Taira},
doi = {10.1007/BF01199321},
url = {https://doi.org/10.1007/BF01199321}
}
@Article{ gyongy.pardoux:93:on*1,
author = {Gy\"{o}ngy, I. and Pardoux, \'{E}.},
title = {On quasi-linear stochastic partial differential
equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {94},
year = {1993},
number = {4},
pages = {413--425},
issn = {0178-8051},
mrclass = {60H15 (35R60)},
mrnumber = {1201552},
mrreviewer = {Ralf Manthey},
doi = {10.1007/BF01192556},
url = {https://doi.org/10.1007/BF01192556}
}
@Article{ gyongy:82:on,
author = {Gy\"{o}ngy, I.},
title = {On stochastic equations with respect to semimartingales.
{III}},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {7},
year = {1982},
number = {4},
pages = {231--254},
issn = {0090-9491},
mrclass = {60H10},
mrnumber = {674448},
doi = {10.1080/17442508208833220},
url = {https://doi.org/10.1080/17442508208833220}
}
@Article{ gyongy:95:on,
author = {Gy\"{o}ngy, Istv\'{a}n},
title = {On non-degenerate quasi-linear stochastic partial
differential equations},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {4},
year = {1995},
number = {2},
pages = {157--171},
issn = {0926-2601},
mrclass = {60H15 (35R60)},
mrnumber = {1323824},
mrreviewer = {Bj\"{o}rn Schmalfuss},
doi = {10.1007/BF01275588},
url = {https://doi.org/10.1007/BF01275588}
}
@Article{ gyongy:98:existence,
author = {Gy\"{o}ngy, Istv\'{a}n},
title = {Existence and uniqueness results for semilinear stochastic
partial differential equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {73},
year = {1998},
number = {2},
pages = {271--299},
issn = {0304-4149},
mrclass = {60H15 (35R30 35R60)},
mrnumber = {1608641},
mrreviewer = {Marek Capi\'{n}ski},
doi = {10.1016/S0304-4149(97)00103-8},
url = {https://doi.org/10.1016/S0304-4149(97)00103-8}
}
@Article{ gyongy:98:lattice,
author = {Gy\"{o}ngy, Istv\'{a}n},
title = {Lattice approximations for stochastic quasi-linear
parabolic partial differential equations driven by
space-time white noise. {I}},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {9},
year = {1998},
number = {1},
pages = {1--25},
issn = {0926-2601},
mrclass = {60H15 (35K55 35R60)},
mrnumber = {1644183},
mrreviewer = {David Nualart},
doi = {10.1023/A:1008615012377},
url = {https://doi.org/10.1023/A:1008615012377}
}
@Article{ haggstrom.meester:95:asymptotic,
author = {H\"{a}ggstr\"{o}m, Olle and Meester, Ronald},
title = {Asymptotic shapes for stationary first passage
percolation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {4},
pages = {1511--1522},
issn = {0091-1798},
mrclass = {60K35 (82B43)},
mrnumber = {1379157},
mrreviewer = {C. Chris Wu},
url = {http://links.jstor.org/sici?sici=0091-1798(199510)23:4<1511:ASFSFP>2.0.CO;2-N&origin=MSN}
}
@Book{ hahn.ozisik:12:heat,
title = {Heat Conduction},
author = {Hahn, David W. and {\"O}zisik, M.~Necati},
isbn = {9781118330111},
lccn = {2011052322},
url = {https://books.google.com/books?id=C9qwb9Vymy8C},
year = {2012},
edition = {3rd},
publisher = {Wiley}
}
@Article{ hairer.hutzenthaler.ea:15:loss,
author = {Hairer, Martin and Hutzenthaler, Martin and Jentzen,
Arnulf},
title = {Loss of regularity for {K}olmogorov equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {2},
pages = {468--527},
issn = {0091-1798},
mrclass = {35K15 (35B65)},
mrnumber = {3305998},
doi = {10.1214/13-AOP838},
url = {https://doi.org/10.1214/13-AOP838}
}
@Article{ hairer.iberti:18:tightness,
author = {Hairer, Martin and Iberti, Massimo},
title = {Tightness of the {I}sing-{K}ac model on the
two-dimensional torus},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {171},
year = {2018},
number = {4},
pages = {632--655},
issn = {0022-4715},
mrclass = {82C20 (35R60 60H15 82C22)},
mrnumber = {3790155},
doi = {10.1007/s10955-018-2033-x},
url = {https://doi.org/10.1007/s10955-018-2033-x}
}
@Article{ hairer.iyer.ea:18:fractional,
author = {Hairer, Martin and Iyer, Gautam and Koralov, Leonid and
Novikov, Alexei and Pajor-Gyulai, Zsolt},
title = {A fractional kinetic process describing the intermediate
time behaviour of cellular flows},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {46},
year = {2018},
number = {2},
pages = {897--955},
issn = {0091-1798},
mrclass = {60H10 (26A33 35R11 35R60 60F17 60H30 76R50)},
mrnumber = {3773377},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1214/17-AOP1196},
url = {https://doi.org/10.1214/17-AOP1196}
}
@Article{ hairer.kelly:12:stochastic,
author = {Hairer, Martin and Kelly, David},
title = {Stochastic {PDE}s with multiscale structure},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {17},
year = {2012},
pages = {no. 52, 38},
mrclass = {60H15 (35B27)},
mrnumber = {2955044},
mrreviewer = {Mamadou Sango},
doi = {10.1214/EJP.v17-1807},
url = {https://doi.org/10.1214/EJP.v17-1807}
}
@Article{ hairer.kelly:15:geometric,
author = {Hairer, Martin and Kelly, David},
title = {Geometric versus non-geometric rough paths},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {51},
year = {2015},
number = {1},
pages = {207--251},
issn = {0246-0203},
mrclass = {60H10},
mrnumber = {3300969},
mrreviewer = {Keisuke Hara},
doi = {10.1214/13-AIHP564},
url = {https://doi.org/10.1214/13-AIHP564}
}
@Article{ hairer.koralov.ea:16:from,
author = {Hairer, Martin and Koralov, Leonid and Pajor-Gyulai,
Zsolt},
title = {From averaging to homogenization in cellular flows---an
exact description of the transition},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {52},
year = {2016},
number = {4},
pages = {1592--1613},
issn = {0246-0203},
mrclass = {35B27 (35J25 60J60)},
mrnumber = {3573288},
mrreviewer = {Carmen Calvo-Jurado},
doi = {10.1214/15-AIHP690},
url = {https://doi.org/10.1214/15-AIHP690}
}
@Article{ hairer.labbe:15:simple,
author = {Hairer, Martin and Labb\'{e}, Cyril},
title = {A simple construction of the continuum parabolic
{A}nderson model on {${\bf R}^2$}},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {20},
year = {2015},
pages = {no. 43, 11},
mrclass = {60H15},
mrnumber = {3358965},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/ECP.v20-4038},
url = {https://doi.org/10.1214/ECP.v20-4038}
}
@Article{ hairer.labbe:17:reconstruction,
author = {Hairer, Martin and Labb\'{e}, Cyril},
title = {The reconstruction theorem in {B}esov spaces},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {273},
year = {2017},
number = {8},
pages = {2578--2618},
issn = {0022-1236},
mrclass = {46E30 (42B35)},
mrnumber = {3684891},
mrreviewer = {Oscar Blasco},
doi = {10.1016/j.jfa.2017.07.002},
url = {https://doi.org/10.1016/j.jfa.2017.07.002}
}
@Article{ hairer.labbe:18:multiplicative,
author = {Hairer, Martin and Labb\'{e}, Cyril},
title = {Multiplicative stochastic heat equations on the whole
space},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {20},
year = {2018},
number = {4},
pages = {1005--1054},
issn = {1435-9855},
mrclass = {60H15 (35K15 35R60)},
mrnumber = {3779690},
mrreviewer = {Raluca M. Balan},
doi = {10.4171/JEMS/781},
url = {https://doi.org/10.4171/JEMS/781}
}
@Article{ hairer.li:20:averaging,
author = {Hairer, Martin and Li, Xue-Mei},
title = {Averaging dynamics driven by fractional {B}rownian
motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {4},
pages = {1826--1860},
issn = {0091-1798},
mrclass = {60G22 (60H05 60H10 60L20)},
mrnumber = {4124526},
mrreviewer = {Mireia Besal\'{u}},
doi = {10.1214/19-AOP1408},
url = {https://doi.org/10.1214/19-AOP1408}
}
@Article{ hairer.maas.ea:14:approximating,
author = {Hairer, Martin and Maas, Jan and Weber, Hendrik},
title = {Approximating rough stochastic {PDE}s},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {67},
year = {2014},
number = {5},
pages = {776--870},
issn = {0010-3640},
mrclass = {60H15 (35R60 65C30)},
mrnumber = {3179667},
mrreviewer = {Antoine J. Lejay},
doi = {10.1002/cpa.21495},
url = {https://doi.org/10.1002/cpa.21495}
}
@Article{ hairer.maas:12:spatial,
author = {Hairer, Martin and Maas, Jan},
title = {A spatial version of the {I}t\^{o}-{S}tratonovich
correction},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {4},
pages = {1675--1714},
issn = {0091-1798},
mrclass = {60H15 (35K55 35Q53 35R60 60H30 60H35)},
mrnumber = {2978135},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1214/11-AOP662},
url = {https://doi.org/10.1214/11-AOP662}
}
@Article{ hairer.majda:10:simple,
author = {Hairer, Martin and Majda, Andrew J.},
title = {A simple framework to justify linear response theory},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {23},
year = {2010},
number = {4},
pages = {909--922},
issn = {0951-7715},
mrclass = {82C05 (37A50 37A60 37N20 60H10)},
mrnumber = {2602020},
mrreviewer = {Da-Quan Jiang},
doi = {10.1088/0951-7715/23/4/008},
url = {https://doi.org/10.1088/0951-7715/23/4/008}
}
@InCollection{ hairer.manson:10:periodic,
author = {Hairer, Martin and Manson, Charles},
title = {Periodic homogenization with an interface},
booktitle = {Progress in analysis and its applications},
pages = {410--416},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2010},
mrclass = {60J60 (60F05)},
mrnumber = {2766949},
doi = {10.1142/9789814313179\_0053},
url = {https://doi.org/10.1142/9789814313179_0053}
}
@Article{ hairer.manson:10:periodic*1,
author = {Hairer, Martin and Manson, Charles},
title = {Periodic homogenization with an interface: the
one-dimensional case},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {120},
year = {2010},
number = {8},
pages = {1589--1605},
issn = {0304-4149},
mrclass = {60J60 (60B10)},
mrnumber = {2653267},
mrreviewer = {Nicolas Saintier},
doi = {10.1016/j.spa.2010.03.016},
url = {https://doi.org/10.1016/j.spa.2010.03.016}
}
@Article{ hairer.manson:11:periodic,
author = {Hairer, Martin and Manson, Charles},
title = {Periodic homogenization with an interface: the
multi-dimensional case},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {39},
year = {2011},
number = {2},
pages = {648--682},
issn = {0091-1798},
mrclass = {60H10 (60J60)},
mrnumber = {2789509},
mrreviewer = {Vigirdas Mackevi\v{c}ius},
doi = {10.1214/10-AOP564},
url = {https://doi.org/10.1214/10-AOP564}
}
@Article{ hairer.matetski:16:optimal,
author = {Hairer, M. and Matetski, K.},
title = {Optimal rate of convergence for stochastic {B}urgers-type
equations},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {4},
year = {2016},
number = {2},
pages = {402--437},
issn = {2194-0401},
mrclass = {35R60 (35Q53 60H15 60H99)},
mrnumber = {3498987},
doi = {10.1007/s40072-015-0067-5},
url = {https://doi.org/10.1007/s40072-015-0067-5}
}
@Article{ hairer.matetski:18:discretisations,
author = {Hairer, M. and Matetski, K.},
title = {Discretisations of rough stochastic {PDE}s},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {46},
year = {2018},
number = {3},
pages = {1651--1709},
issn = {0091-1798},
mrclass = {60H15 (35R60 65M75)},
mrnumber = {3785597},
mrreviewer = {Le Chen},
doi = {10.1214/17-AOP1212},
url = {https://doi.org/10.1214/17-AOP1212}
}
@Article{ hairer.mattingly.ea:04:malliavin,
author = {Hairer, Martin and Mattingly, Jonathan C. and Pardoux,
\'{E}tienne},
title = {Malliavin calculus for highly degenerate 2{D} stochastic
{N}avier-{S}tokes equations},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {339},
year = {2004},
number = {11},
pages = {793--796},
issn = {1631-073X},
mrclass = {60H07 (35Q30 35R60 60H15 76D05 76M35)},
mrnumber = {2110383},
doi = {10.1016/j.crma.2004.09.002},
url = {https://doi.org/10.1016/j.crma.2004.09.002}
}
@Article{ hairer.mattingly.ea:11:asymptotic,
author = {Hairer, M. and Mattingly, J. C. and Scheutzow, M.},
title = {Asymptotic coupling and a general form of {H}arris'
theorem with applications to stochastic delay equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {149},
year = {2011},
number = {1-2},
pages = {223--259},
issn = {0178-8051},
mrclass = {60J05 (34K50 37A50 47N30 60H10)},
mrnumber = {2773030},
mrreviewer = {Ramon van Handel},
doi = {10.1007/s00440-009-0250-6},
url = {https://doi.org/10.1007/s00440-009-0250-6}
}
@Article{ hairer.mattingly:04:ergodic,
author = {Hairer, Martin and Mattingly, Jonathan C.},
title = {Ergodic properties of highly degenerate 2{D} stochastic
{N}avier-{S}tokes equations},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {339},
year = {2004},
number = {12},
pages = {879--882},
issn = {1631-073X},
mrclass = {76D05 (35Q30 37L55 60H15 76M35)},
mrnumber = {2111726},
mrreviewer = {Bohdan Maslowski},
doi = {10.1016/j.crma.2004.09.035},
url = {https://doi.org/10.1016/j.crma.2004.09.035}
}
@Article{ hairer.mattingly:06:ergodicity,
author = {Hairer, Martin and Mattingly, Jonathan C.},
title = {Ergodicity of the 2{D} {N}avier-{S}tokes equations with
degenerate stochastic forcing},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {164},
year = {2006},
number = {3},
pages = {993--1032},
issn = {0003-486X},
mrclass = {37L55 (35Q30 35R60 60H15 76D05 76M35)},
mrnumber = {2259251},
mrreviewer = {Hakima Bessaih},
doi = {10.4007/annals.2006.164.993},
url = {https://doi.org/10.4007/annals.2006.164.993}
}
@Article{ hairer.mattingly:08:spectral,
author = {Hairer, Martin and Mattingly, Jonathan C.},
title = {Spectral gaps in {W}asserstein distances and the 2{D}
stochastic {N}avier-{S}tokes equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {36},
year = {2008},
number = {6},
pages = {2050--2091},
issn = {0091-1798},
mrclass = {35Q35 (35R60 37L55 47D07 60H15 76D05 76M35)},
mrnumber = {2478676},
mrreviewer = {Hakima Bessaih},
doi = {10.1214/08-AOP392},
url = {https://doi.org/10.1214/08-AOP392}
}
@Article{ hairer.mattingly:09:slow,
author = {Hairer, Martin and Mattingly, Jonathan C.},
title = {Slow energy dissipation in anharmonic oscillator chains},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {62},
year = {2009},
number = {8},
pages = {999--1032},
issn = {0010-3640},
mrclass = {82C31 (37L40 60H10 82C05)},
mrnumber = {2531551},
mrreviewer = {Luc Rey-Bellet},
doi = {10.1002/cpa.20280},
url = {https://doi.org/10.1002/cpa.20280}
}
@Article{ hairer.mattingly:11:theory,
author = {Hairer, Martin and Mattingly, Jonathan C.},
title = {A theory of hypoellipticity and unique ergodicity for
semilinear stochastic {PDE}s},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
pages = {no. 23, 658--738},
mrclass = {60H15 (35H10 35R60 60H07)},
mrnumber = {2786645},
mrreviewer = {Feng-Yu Wang},
doi = {10.1214/EJP.v16-875},
url = {https://doi.org/10.1214/EJP.v16-875}
}
@InCollection{ hairer.mattingly:11:yet,
author = {Hairer, Martin and Mattingly, Jonathan C.},
title = {Yet another look at {H}arris' ergodic theorem for {M}arkov
chains},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications {VI}},
series = {Progr. Probab.},
volume = {63},
pages = {109--117},
publisher = {Birkh\"{a}user/Springer Basel AG, Basel},
year = {2011},
mrclass = {60J05 (37A30 37A50 47D07)},
mrnumber = {2857021},
mrreviewer = {Wojciech Bartoszek},
doi = {10.1007/978-3-0348-0021-1\_7},
url = {https://doi.org/10.1007/978-3-0348-0021-1_7}
}
@Article{ hairer.mattingly:18:strong,
author = {Hairer, M. and Mattingly, J.},
title = {The strong {F}eller property for singular stochastic
{PDE}s},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {54},
year = {2018},
number = {3},
pages = {1314--1340},
issn = {0246-0203},
mrclass = {60H15 (37L55 81S20)},
mrnumber = {3825883},
mrreviewer = {Peter Karl Friz},
doi = {10.1214/17-AIHP840},
url = {https://doi.org/10.1214/17-AIHP840}
}
@Article{ hairer.ohashi:07:ergodic,
author = {Hairer, M. and Ohashi, A.},
title = {Ergodic theory for {SDE}s with extrinsic memory},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {5},
pages = {1950--1977},
issn = {0091-1798},
mrclass = {60H10 (60G10)},
mrnumber = {2349580},
mrreviewer = {Hong Xue},
doi = {10.1214/009117906000001141},
url = {https://doi.org/10.1214/009117906000001141}
}
@Article{ hairer.pardoux.ea:13:random,
author = {Hairer, Martin and Pardoux, Etienne and Piatnitski,
Andrey},
title = {Random homogenisation of a highly oscillatory singular
potential},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {1},
year = {2013},
number = {4},
pages = {571--605},
issn = {2194-0401},
mrclass = {35B27 (35K15)},
mrnumber = {3327517},
doi = {10.1007/s40072-013-0018-y},
url = {https://doi.org/10.1007/s40072-013-0018-y}
}
@Article{ hairer.pardoux:08:homogenization,
author = {Hairer, Martin and Pardoux, Etienne},
title = {Homogenization of periodic linear degenerate {PDE}s},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {255},
year = {2008},
number = {9},
pages = {2462--2487},
issn = {0022-1236},
mrclass = {35B27 (35J25 35J70 35K20 35K65 60H07)},
mrnumber = {2473263},
mrreviewer = {Nicolas Saintier},
doi = {10.1016/j.jfa.2008.04.014},
url = {https://doi.org/10.1016/j.jfa.2008.04.014}
}
@Article{ hairer.pardoux:15:wong-zakai,
author = {Hairer, Martin and Pardoux, \'{E}tienne},
title = {A {W}ong-{Z}akai theorem for stochastic {PDE}s},
journal = {J. Math. Soc. Japan},
fjournal = {Journal of the Mathematical Society of Japan},
volume = {67},
year = {2015},
number = {4},
pages = {1551--1604},
issn = {0025-5645},
mrclass = {60H15 (60H05)},
mrnumber = {3417505},
mrreviewer = {Llu\'{i}s Quer-Sardanyons},
doi = {10.2969/jmsj/06741551},
url = {https://doi.org/10.2969/jmsj/06741551}
}
@Article{ hairer.pardoux:21:fluctuations,
author = {Hairer, Martin and Pardoux, \'{E}tienne},
title = {Fluctuations around a homogenised semilinear random
{PDE}},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {239},
year = {2021},
number = {1},
pages = {151--217},
issn = {0003-9527},
mrclass = {60H15 (35Q62 60F05 60F17 60L30)},
mrnumber = {4198718},
mrreviewer = {D. Erhard},
doi = {10.1007/s00205-020-01574-8},
url = {https://doi.org/10.1007/s00205-020-01574-8}
}
@Article{ hairer.pavliotis:08:from,
author = {Hairer, M. and Pavliotis, G. A.},
title = {From ballistic to diffusive behavior in periodic
potentials},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {131},
year = {2008},
number = {1},
pages = {175--202},
issn = {0022-4715},
mrclass = {82C31 (37H10 60H10 82C80)},
mrnumber = {2394704},
mrreviewer = {Kiyomasa Narita},
doi = {10.1007/s10955-008-9493-3},
url = {https://doi.org/10.1007/s10955-008-9493-3}
}
@Article{ hairer.pillai:11:ergodicity,
author = {Hairer, M. and Pillai, N. S.},
title = {Ergodicity of hypoelliptic {SDE}s driven by fractional
{B}rownian motion},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {47},
year = {2011},
number = {2},
pages = {601--628},
issn = {0246-0203},
mrclass = {60H10 (26A33 60G10 60G22 60H07)},
mrnumber = {2814425},
mrreviewer = {David Applebaum},
doi = {10.1214/10-AIHP377},
url = {https://doi.org/10.1214/10-AIHP377}
}
@Article{ hairer.pillai:13:regularity,
author = {Hairer, Martin and Pillai, Natesh S.},
title = {Regularity of laws and ergodicity of hypoelliptic {SDE}s
driven by rough paths},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {4},
pages = {2544--2598},
issn = {0091-1798},
mrclass = {60H10 (26A33 60G10 60G22 60H07)},
mrnumber = {3112925},
mrreviewer = {Keisuke Hara},
doi = {10.1214/12-AOP777},
url = {https://doi.org/10.1214/12-AOP777}
}
@Article{ hairer.quastel:18:class,
author = {Hairer, Martin and Quastel, Jeremy},
title = {A class of growth models rescaling to {KPZ}},
journal = {Forum Math. Pi},
fjournal = {Forum of Mathematics. Pi},
volume = {6},
year = {2018},
pages = {e3, 112},
mrclass = {60H15 (35R60 82C28)},
mrnumber = {3877863},
mrreviewer = {Kazuo Yamazaki},
doi = {10.1017/fmp.2018.2},
url = {https://doi.org/10.1017/fmp.2018.2}
}
@Article{ hairer.ryser.ea:12:triviality,
author = {Hairer, Martin and Ryser, Marc D. and Weber, Hendrik},
title = {Triviality of the 2{D} stochastic {A}llen-{C}ahn
equation},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {17},
year = {2012},
pages = {no. 39, 14},
mrclass = {60H15},
mrnumber = {2928722},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1214/EJP.v17-1731},
url = {https://doi.org/10.1214/EJP.v17-1731}
}
@Article{ hairer.schonbauer:22:support,
author = {Hairer, Martin and Sch\"{o}nbauer, Philipp},
title = {The support of singular stochastic partial differential
equations},
journal = {Forum Math. Pi},
fjournal = {Forum of Mathematics. Pi},
volume = {10},
year = {2022},
pages = {Paper No. e1, 127},
mrclass = {60H15 (35R60)},
mrnumber = {4370580},
doi = {10.1017/fmp.2021.18},
url = {https://doi.org/10.1017/fmp.2021.18}
}
@Article{ hairer.shen:16:dynamical,
author = {Hairer, Martin and Shen, Hao},
title = {The dynamical sine-{G}ordon model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {341},
year = {2016},
number = {3},
pages = {933--989},
issn = {0010-3616},
mrclass = {60H15 (35K58 35R60 37H10)},
mrnumber = {3452276},
mrreviewer = {Dirk Bl\"{o}mker},
doi = {10.1007/s00220-015-2525-3},
url = {https://doi.org/10.1007/s00220-015-2525-3}
}
@Article{ hairer.shen:17:central,
author = {Hairer, Martin and Shen, Hao},
title = {A central limit theorem for the {KPZ} equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {6B},
pages = {4167--4221},
issn = {0091-1798},
mrclass = {60H15 (35K55 35R60 60H30)},
mrnumber = {3737909},
mrreviewer = {Dirk Bl\"{o}mker},
doi = {10.1214/16-AOP1162},
url = {https://doi.org/10.1214/16-AOP1162}
}
@Article{ hairer.stuart.ea:05:analysis,
author = {Hairer, M. and Stuart, A. M. and Voss, J. and Wiberg, P.},
title = {Analysis of {SPDE}s arising in path sampling. {I}. {T}he
{G}aussian case},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {3},
year = {2005},
number = {4},
pages = {587--603},
issn = {1539-6746},
mrclass = {60H15 (60G15 60G35 60H10)},
mrnumber = {2188686},
mrreviewer = {Krystyna Twardowska},
url = {http://projecteuclid.org/euclid.cms/1144429334}
}
@Article{ hairer.stuart.ea:07:analysis,
author = {Hairer, M. and Stuart, A. M. and Voss, J.},
title = {Analysis of {SPDE}s arising in path sampling. {II}. {T}he
nonlinear case},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {17},
year = {2007},
number = {5-6},
pages = {1657--1706},
issn = {1050-5164},
mrclass = {60H15 (60G17 60G35 65C30)},
mrnumber = {2358638},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/07-AAP441},
url = {https://doi.org/10.1214/07-AAP441}
}
@InCollection{ hairer.stuart.ea:09:sampling,
author = {Hairer, Martin and Stuart, Andrew and Vo\ss , Jochen},
title = {Sampling conditioned diffusions},
booktitle = {Trends in stochastic analysis},
series = {London Math. Soc. Lecture Note Ser.},
volume = {353},
pages = {159--185},
publisher = {Cambridge Univ. Press, Cambridge},
year = {2009},
mrclass = {60J60 (60J22 62M20 65C30)},
mrnumber = {2562154},
mrreviewer = {Alexandros Beskos}
}
@Article{ hairer.stuart.ea:11:sampling,
author = {Hairer, Martin and Stuart, Andrew M. and Voss, Jochen},
title = {Sampling conditioned hypoelliptic diffusions},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {21},
year = {2011},
number = {2},
pages = {669--698},
issn = {1050-5164},
mrclass = {60H15 (60G35)},
mrnumber = {2807970},
mrreviewer = {Jie Xiong},
doi = {10.1214/10-AAP708},
url = {https://doi.org/10.1214/10-AAP708}
}
@InCollection{ hairer.stuart.ea:11:signal,
author = {Hairer, M. and Stuart, A. and Voss, J.},
title = {Signal processing problems on function space: {B}ayesian
formulation, stochastic {PDE}s and effective {MCMC}
methods},
booktitle = {The {O}xford handbook of nonlinear filtering},
pages = {833--873},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {62F15 (60G35 62M20 65C05)},
mrnumber = {2884617},
mrreviewer = {Yurij S. Kharin}
}
@Article{ hairer.stuart.ea:14:spectral,
author = {Hairer, Martin and Stuart, Andrew M. and Vollmer,
Sebastian J.},
title = {Spectral gaps for a {M}etropolis-{H}astings algorithm in
infinite dimensions},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {24},
year = {2014},
number = {6},
pages = {2455--2490},
issn = {1050-5164},
mrclass = {60J22 (37A30 60B12 60J05 65C05 65C40)},
mrnumber = {3262508},
mrreviewer = {Laurent Miclo},
doi = {10.1214/13-AAP982},
url = {https://doi.org/10.1214/13-AAP982}
}
@Article{ hairer.voss:11:approximations,
author = {Hairer, Martin and Voss, Jochen},
title = {Approximations to the stochastic {B}urgers equation},
journal = {J. Nonlinear Sci.},
fjournal = {Journal of Nonlinear Science},
volume = {21},
year = {2011},
number = {6},
pages = {897--920},
issn = {0938-8974},
mrclass = {60H35 (60H15 65C30)},
mrnumber = {2860933},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s00332-011-9104-3},
url = {https://doi.org/10.1007/s00332-011-9104-3}
}
@Article{ hairer.weare:14:improved,
author = {Hairer, Martin and Weare, Jonathan},
title = {Improved diffusion {M}onte {C}arlo},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {67},
year = {2014},
number = {12},
pages = {1995--2021},
issn = {0010-3640},
mrclass = {65C05 (60H35 62M20)},
mrnumber = {3272366},
mrreviewer = {Charles-Edouard Br\'{e}hier},
doi = {10.1002/cpa.21526},
url = {https://doi.org/10.1002/cpa.21526}
}
@Article{ hairer.weare:15:brownian,
author = {Hairer, Martin and Weare, Jonathan},
title = {The {B}rownian fan},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {68},
year = {2015},
number = {1},
pages = {1--60},
issn = {0010-3640},
mrclass = {60J80 (60G55 60J25 60J35 60J65 65C05)},
mrnumber = {3280248},
mrreviewer = {Laurent Miclo},
doi = {10.1002/cpa.21544},
url = {https://doi.org/10.1002/cpa.21544}
}
@Article{ hairer.weare:15:corrigendum,
author = {Hairer, Martin and Weare, Jonathan},
title = {Corrigendum: {I}mproved diffusion {M}onte {C}arlo [
{MR}3272366]},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {68},
year = {2015},
number = {8},
pages = {1285--1286},
issn = {0010-3640},
mrclass = {65C05 (60H35 62M20)},
mrnumber = {3366746},
doi = {10.1002/cpa.21587},
url = {https://doi.org/10.1002/cpa.21587}
}
@Article{ hairer.weber:13:erratum,
author = {Hairer, Martin and Weber, Hendrik},
title = {Erratum to: {R}ough {B}urgers-like equations with
multiplicative noise [MR3010394]},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {157},
year = {2013},
number = {3-4},
pages = {1011--1013},
issn = {0178-8051},
mrclass = {60H15 (35R60 60G17)},
mrnumber = {3129808},
mrreviewer = {Antoine J. Lejay},
doi = {10.1007/s00440-013-0538-4},
url = {https://doi.org/10.1007/s00440-013-0538-4}
}
@Article{ hairer.weber:13:rough,
author = {Hairer, Martin and Weber, Hendrik},
title = {Rough {B}urgers-like equations with multiplicative noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {155},
year = {2013},
number = {1-2},
pages = {71--126},
issn = {0178-8051},
mrclass = {60H15 (35R60 60G17)},
mrnumber = {3010394},
mrreviewer = {Antoine J. Lejay},
doi = {10.1007/s00440-011-0392-1},
url = {https://doi.org/10.1007/s00440-011-0392-1}
}
@Article{ hairer.weber:15:large,
author = {Hairer, Martin and Weber, Hendrik},
title = {Large deviations for white-noise driven, nonlinear
stochastic {PDE}s in two and three dimensions},
journal = {Ann. Fac. Sci. Toulouse Math. (6)},
fjournal = {Annales de la Facult\'{e} des Sciences de Toulouse.
Math\'{e}matiques. S\'{e}rie 6},
volume = {24},
year = {2015},
number = {1},
pages = {55--92},
issn = {0240-2963},
mrclass = {35R60 (35B25 60H15)},
mrnumber = {3325951},
mrreviewer = {Jan I. Seidler},
doi = {10.5802/afst.1442},
url = {https://doi.org/10.5802/afst.1442}
}
@Article{ hairer.xu:18:large-scale,
author = {Hairer, Martin and Xu, Weijun},
title = {Large-scale behavior of three-dimensional continuous phase
coexistence models},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {71},
year = {2018},
number = {4},
pages = {688--746},
issn = {0010-3640},
mrclass = {60H15 (35R60 81R12)},
mrnumber = {3772400},
mrreviewer = {Cyril Labb\'{e}},
doi = {10.1002/cpa.21738},
url = {https://doi.org/10.1002/cpa.21738}
}
@Article{ hairer.xu:19:large,
author = {Hairer, Martin and Xu, Weijun},
title = {Large scale limit of interface fluctuation models},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {6},
pages = {3478--3550},
issn = {0091-1798},
mrclass = {60L30 (35K59 35R60 60H15 82C26)},
mrnumber = {4038037},
mrreviewer = {D. Erhard},
doi = {10.1214/18-aop1317},
url = {https://doi.org/10.1214/18-aop1317}
}
@InCollection{ hairer:05:coupling,
author = {Hairer, Martin},
title = {Coupling stochastic {PDE}s},
booktitle = {X{IV}th {I}nternational {C}ongress on {M}athematical
{P}hysics},
pages = {281--289},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2005},
mrclass = {60H15 (37A30 37L55 60J25)},
mrnumber = {2227840},
mrreviewer = {Bj\"{o}rn Schmalfuss}
}
@Article{ hairer:05:ergodicity,
author = {Hairer, Martin},
title = {Ergodicity of stochastic differential equations driven by
fractional {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {2},
pages = {703--758},
issn = {0091-1798},
mrclass = {60H10},
mrnumber = {2123208},
mrreviewer = {Pedro Mar\'{i}n Rubio},
doi = {10.1214/009117904000000892},
url = {https://doi.org/10.1214/009117904000000892}
}
@InCollection{ hairer:09:ergodic,
author = {Hairer, Martin},
title = {Ergodic properties of a class of non-{M}arkovian
processes},
booktitle = {Trends in stochastic analysis},
series = {London Math. Soc. Lecture Note Ser.},
volume = {353},
pages = {65--98},
publisher = {Cambridge Univ. Press, Cambridge},
year = {2009},
mrclass = {60G10 (46N30 47D07 60B11 60H99 60J25)},
mrnumber = {2562151},
mrreviewer = {Wojciech Bartoszek}
}
@Article{ hairer:09:how,
author = {Hairer, Martin},
title = {How hot can a heat bath get?},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {292},
year = {2009},
number = {1},
pages = {131--177},
issn = {0010-3616},
mrclass = {82C22 (82C26)},
mrnumber = {2540073},
mrreviewer = {Christian Dogbe},
doi = {10.1007/s00220-009-0857-6},
url = {https://doi.org/10.1007/s00220-009-0857-6}
}
@InCollection{ hairer:10:hypoellipticity,
author = {Hairer, Martin},
title = {Hypoellipticity in infinite dimensions},
booktitle = {Progress in analysis and its applications},
pages = {479--484},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2010},
mrclass = {60H15 (35H10 35R60)},
mrnumber = {2766958},
doi = {10.1142/9789814313179\_0062},
url = {https://doi.org/10.1142/9789814313179_0062}
}
@Article{ hairer:11:on,
author = {Hairer, Martin},
title = {On {M}alliavin's proof of {H}\"{o}rmander's theorem},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {135},
year = {2011},
number = {6-7},
pages = {650--666},
issn = {0007-4497},
mrclass = {60H07 (60H30 60J60)},
mrnumber = {2838095},
mrreviewer = {Shi Zan Fang},
doi = {10.1016/j.bulsci.2011.07.007},
url = {https://doi.org/10.1016/j.bulsci.2011.07.007}
}
@Article{ hairer:11:rough,
author = {Hairer, M.},
title = {Rough stochastic {PDE}s},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {64},
year = {2011},
number = {11},
pages = {1547--1585},
issn = {0010-3640},
mrclass = {60H15 (60G17 60H07)},
mrnumber = {2832168},
mrreviewer = {Antoine J. Lejay},
doi = {10.1002/cpa.20383},
url = {https://doi.org/10.1002/cpa.20383}
}
@Article{ hairer:12:singular,
author = {Hairer, Martin},
title = {Singular perturbations to semilinear stochastic heat
equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {152},
year = {2012},
number = {1-2},
pages = {265--297},
issn = {0178-8051},
mrclass = {60H15 (60H30)},
mrnumber = {2875759},
mrreviewer = {Igor Cialenco},
doi = {10.1007/s00440-010-0322-7},
url = {https://doi.org/10.1007/s00440-010-0322-7}
}
@Article{ hairer:13:solving,
author = {Hairer, Martin},
title = {Solving the {KPZ} equation},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {178},
year = {2013},
number = {2},
pages = {559--664},
issn = {0003-486X},
mrclass = {35K59 (35B10 35B65 35R60 60G22 60H15 60K35)},
mrnumber = {3071506},
mrreviewer = {Alp O. Eden},
doi = {10.4007/annals.2013.178.2.4},
url = {https://doi.org/10.4007/annals.2013.178.2.4}
}
@InProceedings{ hairer:14:singular,
author = {Hairer, Martin},
title = {Singular stochastic {PDE}s},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians---{S}eoul 2014. {V}ol. {IV}},
pages = {49--73},
publisher = {Kyung Moon Sa, Seoul},
year = {2014},
mrclass = {60H15 (81S20 82C28)},
mrnumber = {3727602}
}
@InProceedings{ hairer:14:singular*1,
author = {Hairer, Martin},
title = {Singular stochastic {PDE}s},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians---{S}eoul 2014. {V}ol. 1},
pages = {685--709},
publisher = {Kyung Moon Sa, Seoul},
year = {2014},
mrclass = {60H15 (81S20 82C28)},
mrnumber = {3728488},
mrreviewer = {Peter Karl Friz}
}
@InCollection{ hairer:14:solving,
author = {Hairer, M.},
title = {Solving the {KPZ} equation},
booktitle = {X{VII}th {I}nternational {C}ongress on {M}athematical
{P}hysics},
pages = {419},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2014},
mrclass = {60H15},
mrnumber = {3204494}
}
@Article{ hairer:14:theory,
author = {Hairer, M.},
title = {A theory of regularity structures},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {198},
year = {2014},
number = {2},
pages = {269--504},
issn = {0020-9910},
mrclass = {60H15 (35R60 60H40 81S20 82C28)},
mrnumber = {3274562},
mrreviewer = {Dora Sele\v{s}i},
doi = {10.1007/s00222-014-0505-4},
url = {https://doi.org/10.1007/s00222-014-0505-4}
}
@Article{ hairer:15:introduction,
author = {Hairer, Martin},
title = {Introduction to regularity structures},
journal = {Braz. J. Probab. Stat.},
fjournal = {Brazilian Journal of Probability and Statistics},
volume = {29},
year = {2015},
number = {2},
pages = {175--210},
issn = {0103-0752},
mrclass = {60H15},
mrnumber = {3336866},
doi = {10.1214/14-BJPS241},
url = {https://doi.org/10.1214/14-BJPS241}
}
@InCollection{ hairer:16:regularity,
author = {Hairer, Martin},
title = {Regularity structures and the dynamical {$\Phi^4_3$}
model},
booktitle = {Current developments in mathematics 2014},
pages = {1--49},
publisher = {Int. Press, Somerville, MA},
year = {2016},
mrclass = {60H15 (35R60)},
mrnumber = {3468250},
mrreviewer = {Peter Karl Friz}
}
@InCollection{ hairer:18:analysts,
author = {Hairer, Martin},
title = {An analyst's take on the {BPHZ} theorem},
booktitle = {Computation and combinatorics in dynamics, stochastics and
control},
series = {Abel Symp.},
volume = {13},
pages = {429--476},
publisher = {Springer, Cham},
year = {2018},
mrclass = {81T18 (81Q30 81T15)},
mrnumber = {3967393},
mrreviewer = {Karen A. Yeats}
}
@Article{ hairer:18:renormalisation,
author = {Hairer, Martin},
title = {Renormalisation of parabolic stochastic {PDE}s},
journal = {Jpn. J. Math.},
fjournal = {Japanese Journal of Mathematics},
volume = {13},
year = {2018},
number = {2},
pages = {187--233},
issn = {0289-2316},
mrclass = {60H15 (35R60 60F17 60H17 60H50 60L30 81S20 82C28)},
mrnumber = {3855740},
mrreviewer = {Dirk Bl\"{o}mker},
doi = {10.1007/s11537-018-1742-x},
url = {https://doi.org/10.1007/s11537-018-1742-x}
}
@Article{ hairer:23:introduction,
author = {Hairer, Martin},
title = {An introduction to singular stochastic {PDE}s:
{A}llen-{C}ahn equations, metastability, and regularity
structures [book review of 4458524]},
journal = {Eur. Math. Soc. Mag.},
fjournal = {European Mathematical Society Magazine},
number = {129},
year = {2023},
pages = {56--57},
issn = {2747-7894},
mrclass = {00A17},
mrnumber = {4655977}
}
@Article{ haj-asz.koskela.ea:08:sobolev,
author = {Haj\l asz, Piotr and Koskela, Pekka and Tuominen, Heli},
title = {Sobolev embeddings, extensions and measure density
condition},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {254},
year = {2008},
number = {5},
pages = {1217--1234},
issn = {0022-1236},
mrclass = {46E35 (28A12 28A75)},
mrnumber = {2386936},
mrreviewer = {Jeremy T. Tyson},
doi = {10.1016/j.jfa.2007.11.020},
url = {https://doi.org/10.1016/j.jfa.2007.11.020}
}
@Article{ hajek:85:mean,
author = {Hajek, Bruce},
title = {Mean stochastic comparison of diffusions},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {68},
year = {1985},
number = {3},
pages = {315--329},
issn = {0044-3719},
mrclass = {60H10 (60J60)},
mrnumber = {771469},
mrreviewer = {Vigirdas Mackevi\v{c}ius},
doi = {10.1007/BF00532643},
url = {https://doi.org/10.1007/BF00532643}
}
@Book{ hall:88:introduction,
author = {Hall, Peter},
title = {Introduction to the theory of coverage processes},
series = {Wiley Series in Probability and Mathematical Statistics:
Probability and Mathematical Statistics},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1988},
pages = {xx+408},
isbn = {0-471-85702-5},
mrclass = {60D05 (60G55 92A07)},
mrnumber = {973404},
mrreviewer = {Ulrich Z\"{a}hle},
doi = {10.1016/0167-0115(88)90159-0},
url = {https://doi.org/10.1016/0167-0115(88)90159-0}
}
@Book{ halmos:51:introduction,
author = {Halmos, Paul R.},
title = {Introduction to {H}ilbert {S}pace and the theory of
{S}pectral {M}ultiplicity},
publisher = {Chelsea Publishing Co., New York},
year = {1951},
pages = {114},
mrclass = {46.0X},
mrnumber = {45309},
mrreviewer = {B. Sz.-Nagy}
}
@Article{ halperin:65:greens,
author = {Halperin, Bertrand I.},
title = {Green's functions for a particle in a one-dimensional
random potential},
journal = {Phys. Rev. (2)},
fjournal = {Physical Review. Series II},
volume = {139},
year = {1965},
pages = {A104--A117},
issn = {0031-899X},
mrclass = {82.62},
mrnumber = {187859},
mrreviewer = {H. L. Frisch}
}
@InProceedings{ halperin:76:theory,
author = {Halperin, B. I.},
title = {Theory of dynamic critical properties},
booktitle = {Statistical physics ({P}roc. {IUPAP} {I}nternat. {C}onf.
{S}tatist. {P}hys., {B}udapest, 1975)},
pages = {163--181},
publisher = {North-Holland, Amsterdam-Oxford-New York},
year = {1976},
mrclass = {82.35},
mrnumber = {475518}
}
@Article{ halpin-healy.zhang:95:kinetic,
author = {Timothy Halpin-Healy and Yi-Cheng Zhang},
title = {Kinetic roughening phenomena, stochastic growth, directed
polymers and all that. Aspects of multidisciplinary
statistical mechanics},
journal = {Phys. Rep.},
fjournal = {Physics Reports},
volume = {254},
number = {4},
pages = {215--414},
year = {1995},
issn = {0370-1573},
doi = {https://doi.org/10.1016/0370-1573(94)00087-J},
url = {https://www.sciencedirect.com/science/article/pii/037015739400087J}
}
@Article{ halsey.honda.ea:96:multifractal,
author = {Halsey, Thomas C. and Honda, Katsuya and Duplantier,
Bertrand},
title = {Multifractal dimensions for branched growth},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {85},
year = {1996},
number = {5-6},
pages = {681--743},
issn = {0022-4715},
mrclass = {82C22 (82C31)},
mrnumber = {1418809},
doi = {10.1007/BF02199360},
url = {https://doi.org/10.1007/BF02199360}
}
@Article{ hambly.kalsi:19:reflected,
author = {Hambly, Ben and Kalsi, Jasdeep},
title = {A reflected moving boundary problem driven by space-time
white noise},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {7},
year = {2019},
number = {4},
pages = {746--807},
issn = {2194-0401,2194-041X},
mrclass = {35R37 (35K40 35K91 35R60 60H15)},
mrnumber = {4022287},
mrreviewer = {Le\ Chen},
doi = {10.1007/s40072-019-00139-5},
url = {https://doi.org/10.1007/s40072-019-00139-5}
}
@Article{ hambly.kumagai:02:asymptotics,
author = {Hambly, B. M. and Kumagai, T.},
title = {Asymptotics for the spectral and walk dimension as
fractals approach {E}uclidean space},
journal = {Fractals},
fjournal = {Fractals. Complex Geometry, Patterns, and Scaling in
Nature and Society},
volume = {10},
year = {2002},
number = {4},
pages = {403--412},
issn = {0218-348X},
mrclass = {28A80},
mrnumber = {1951472},
mrreviewer = {Peter R. Massopust},
doi = {10.1142/S0218348X02001270},
url = {https://doi.org/10.1142/S0218348X02001270}
}
@Article{ hammersley.welsh:62:further,
author = {Hammersley, J. M. and Welsh, D. J. A.},
title = {Further results on the rate of convergence to the
connective constant of the hypercubical lattice},
journal = {Quart. J. Math. Oxford Ser. (2)},
fjournal = {The Quarterly Journal of Mathematics. Oxford. Second
Series},
volume = {13},
year = {1962},
pages = {108--110},
issn = {0033-5606},
mrclass = {05.10},
mrnumber = {139535},
mrreviewer = {I. J. Good},
doi = {10.1093/qmath/13.1.108},
url = {https://doi.org/10.1093/qmath/13.1.108}
}
@InProceedings{ hammersley.welsh:65:first-passage,
author = {Hammersley, J. M. and Welsh, D. J. A.},
title = {First-passage percolation, subadditive processes,
stochastic networks, and generalized renewal theory},
booktitle = {Proc. {I}nternat. {R}es. {S}emin., {S}tatist. {L}ab.,
{U}niv. {C}alifornia, {B}erkeley, {C}alif., 1963},
pages = {61--110},
publisher = {Springer, New York},
year = {1965},
mrclass = {60.70 (60.99)},
mrnumber = {198576},
mrreviewer = {J. N. Kapur}
}
@Article{ hammersley:62:generalization,
author = {Hammersley, J. M.},
title = {Generalization of the fundamental theorem on sub-additive
functions},
journal = {Proc. Cambridge Philos. Soc.},
fjournal = {Proceedings of the Cambridge Philosophical Society},
volume = {58},
year = {1962},
pages = {235--238},
issn = {0008-1981},
mrclass = {26.99},
mrnumber = {137800},
mrreviewer = {T. A. Botts},
doi = {10.1017/s030500410003646x},
url = {https://doi.org/10.1017/s030500410003646x}
}
@InProceedings{ hammersley:72:few,
author = {Hammersley, J. M.},
title = {A few seedlings of research},
booktitle = {Proceedings of the {S}ixth {B}erkeley {S}ymposium on
{M}athematical {S}tatistics and {P}robability ({U}niv.
{C}alifornia, {B}erkeley, {C}alif., 1970/1971), {V}ol. {I}:
{T}heory of statistics},
pages = {345--394},
publisher = {Univ. California Press, Berkeley, CA},
year = {1972},
mrclass = {62E20},
mrnumber = {405665},
mrreviewer = {George Marsaglia}
}
@Article{ han.hu.ea:13:maximum,
author = {Han, Yuecai and Hu, Yaozhong and Song, Jian},
title = {Maximum principle for general controlled systems driven by
fractional {B}rownian motions},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {67},
year = {2013},
number = {2},
pages = {279--322},
issn = {0095-4616},
mrclass = {49K45 (60G22 60H07 93E20)},
mrnumber = {3027592},
mrreviewer = {Alexandr V. Pukhlikov},
doi = {10.1007/s00245-012-9188-7},
url = {https://doi.org/10.1007/s00245-012-9188-7}
}
@Article{ han.hu.ea:16:optimal,
author = {Han, Zheng and Hu, Yaozhong and Lee, Chihoon},
title = {Optimal pricing barriers in a regulated market using
reflected diffusion processes},
journal = {Quant. Finance},
fjournal = {Quantitative Finance},
volume = {16},
year = {2016},
number = {4},
pages = {639--647},
issn = {1469-7688},
mrclass = {60H10 (49N90 60H30 91G80)},
mrnumber = {3473978},
mrreviewer = {Stefan Tappe},
doi = {10.1080/14697688.2015.1034163},
url = {https://doi.org/10.1080/14697688.2015.1034163}
}
@Article{ han.hu.ea:19:on,
author = {Han, Zheng and Hu, Yaozhong and Lee, Chihoon},
title = {On pricing barrier control in a regime-switching regulated
market},
journal = {Quant. Finance},
fjournal = {Quantitative Finance},
volume = {19},
year = {2019},
number = {3},
pages = {491--499},
issn = {1469-7688},
mrclass = {91G20},
mrnumber = {3910612},
doi = {10.1080/14697688.2018.1480835},
url = {https://doi.org/10.1080/14697688.2018.1480835}
}
@Article{ han.kim.ea:24:on,
author = {Han, Beom-Seok and Kim, Kunwoo and Yi, Jaeyun},
title = {On the support of solutions to nonlinear stochastic heat
equations},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {29},
year = {2024},
pages = {Paper No. 201, 29},
mrclass = {60H15 (35K10 35K55 35R60)},
mrnumber = {4842851},
doi = {10.1214/24-ejp1261},
url = {https://doi.org/10.1214/24-ejp1261}
}
@Article{ han.shen.ea:11:random,
author = {Han, Xiaoying and Shen, Wenxian and Zhou, Shengfan},
title = {Random attractors for stochastic lattice dynamical systems
in weighted spaces},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {250},
year = {2011},
number = {3},
pages = {1235--1266},
issn = {0022-0396,1090-2732},
mrclass = {37L55 (34A33 34D45 34F05 37L30 37L60 60H15)},
mrnumber = {2737203},
mrreviewer = {Bj\"{o}rn\ Schmalfuss},
doi = {10.1016/j.jde.2010.10.018},
url = {https://doi.org/10.1016/j.jde.2010.10.018}
}
@Article{ han:24:stochastic,
author = {Han, Yi},
title = {Stochastic wave equation with {H}\"{o}lder noise
coefficient: well-posedness and small mass limit},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {286},
year = {2024},
number = {3},
pages = {Paper No. 110224, 46},
issn = {0022-1236},
mrclass = {60H15 (35L20 35R60)},
mrnumber = {4666250},
doi = {10.1016/j.jfa.2023.110224},
url = {https://doi.org/10.1016/j.jfa.2023.110224}
}
@Article{ handcock.stein:93:bayesian,
title = {A Bayesian analysis of kriging},
author = {Handcock, Mark S and Stein, Michael L},
fjournal = {Technometrics},
journal = {Technometrics},
volume = {35},
number = {4},
pages = {403--410},
year = {1993},
publisher = {Taylor \& Francis}
}
@Article{ handcock.wallis:94:approach,
author = {Handcock, Mark S. and Wallis, James R.},
title = {An approach to statistical spatial-temporal modeling of
meteorological fields},
note = {With comments and a rejoinder by Handcock},
journal = {J. Amer. Statist. Assoc.},
fjournal = {Journal of the American Statistical Association},
volume = {89},
year = {1994},
number = {426},
pages = {368--390},
issn = {0162-1459},
mrclass = {62M30},
mrnumber = {1294070},
url = {http://links.jstor.org/sici?sici=0162-1459(199406)89:426<368:AATSSM>2.0.CO;2-Z&origin=MSN}
}
@Article{ hanyga.seredynska:07:relations,
author = {Hanyga, Andrzej and Seredy\'{n}ska, Ma\l gorzata},
title = {Relations between relaxation modulus and creep compliance
in anisotropic linear viscoelasticity},
journal = {J. Elasticity},
fjournal = {Journal of Elasticity. The Physical and Mathematical
Science of Solids},
volume = {88},
year = {2007},
number = {1},
pages = {41--61},
issn = {0374-3535,1573-2681},
mrclass = {74D05 (74A99 74E05 74H99)},
mrnumber = {2337270},
mrreviewer = {Mohamed\ Ibrahim Ahmed Othman},
doi = {10.1007/s10659-007-9112-6},
url = {https://doi.org/10.1007/s10659-007-9112-6}
}
@Article{ hanyga.seredynska:08:on,
author = {Hanyga, A. and Seredy\'{n}ska, M.},
title = {On a mathematical framework for the constitutive equations
of anisotropic dielectric relaxation},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {131},
year = {2008},
number = {2},
pages = {269--303},
issn = {0022-4715,1572-9613},
mrclass = {74A20 (74F15 78A25)},
mrnumber = {2386581},
doi = {10.1007/s10955-008-9501-7},
url = {https://doi.org/10.1007/s10955-008-9501-7}
}
@Article{ hanyga:01:multidimensional,
author = {Hanyga, Andrzej},
title = {Multidimensional solutions of space-fractional diffusion
equations},
journal = {R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.},
fjournal = {The Royal Society of London. Proceedings. Series A.
Mathematical, Physical and Engineering Sciences},
volume = {457},
year = {2001},
number = {2016},
pages = {2993--3005},
issn = {1364-5021,1471-2946},
mrclass = {60J60 (35A08 35K57)},
mrnumber = {1875090},
doi = {10.1098/rspa.2001.0849},
url = {https://doi.org/10.1098/rspa.2001.0849}
}
@InCollection{ hanyga:01:wave,
author = {Hanyga, A.},
title = {Wave propagation in media with singular memory},
note = {Topics in the mathematical modelling of smart materials},
journal = {Math. Comput. Modelling},
fjournal = {Mathematical and Computer Modelling},
volume = {34},
year = {2001},
number = {12-13},
pages = {1399--1421},
issn = {0895-7177},
mrclass = {74J10 (45J05 74D05 74H99)},
mrnumber = {1868410},
mrreviewer = {Renuka\ Ravindran},
doi = {10.1016/S0895-7177(01)00137-6},
url = {https://doi.org/10.1016/S0895-7177(01)00137-6}
}
@Article{ hanyga:02:multi-dimensional,
author = {Hanyga, Andrzej},
title = {Multi-dimensional solutions of space-time-fractional
diffusion equations},
journal = {R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.},
fjournal = {The Royal Society of London. Proceedings. Series A.
Mathematical, Physical and Engineering Sciences},
volume = {458},
year = {2002},
number = {2018},
pages = {429--450},
issn = {1364-5021,1471-2946},
mrclass = {60J60 (26A33 60K40)},
mrnumber = {1889936},
mrreviewer = {Jose\ Luis\ Menaldi},
doi = {10.1098/rspa.2001.0893},
url = {https://doi.org/10.1098/rspa.2001.0893}
}
@Article{ hanyga:02:multidimensional,
author = {Hanyga, Andrzej},
title = {Multidimensional solutions of time-fractional
diffusion-wave equations},
journal = {R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.},
fjournal = {The Royal Society of London. Proceedings. Series A.
Mathematical, Physical and Engineering Sciences},
volume = {458},
year = {2002},
number = {2020},
pages = {933--957},
issn = {1364-5021,1471-2946},
mrclass = {35G10 (26A33 33C10 33E12 35A08 35B30)},
mrnumber = {1898095},
mrreviewer = {Anatoly\ Kilbas},
doi = {10.1098/rspa.2001.0904},
url = {https://doi.org/10.1098/rspa.2001.0904}
}
@Article{ hanyga:07:anomalous,
author = {Hanyga, A.},
title = {Anomalous diffusion without scale invariance},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {40},
year = {2007},
number = {21},
pages = {5551--5563},
issn = {1751-8113,1751-8121},
mrclass = {60G50 (26A33 82C70)},
mrnumber = {2343892},
mrreviewer = {Mark\ M.\ Meerschaert},
doi = {10.1088/1751-8113/40/21/007},
url = {https://doi.org/10.1088/1751-8113/40/21/007}
}
@Article{ hanyga:07:fractional-order,
author = {Hanyga, Andrzej},
title = {Fractional-order relaxation laws in non-linear
viscoelasticity},
journal = {Contin. Mech. Thermodyn.},
fjournal = {Continuum Mechanics and Thermodynamics},
volume = {19},
year = {2007},
number = {1-2},
pages = {25--36},
issn = {0935-1175,1432-0959},
mrclass = {74D10},
mrnumber = {2317802},
doi = {10.1007/s00161-007-0042-0},
url = {https://doi.org/10.1007/s00161-007-0042-0}
}
@Article{ hanyga:20:comment,
author = {Hanyga, Andrzej},
title = {A comment on a controversial issue: a generalized
fractional derivative cannot have a regular kernel},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis. An International
Journal for Theory and Applications},
volume = {23},
year = {2020},
number = {1},
pages = {211--223},
issn = {1311-0454,1314-2224},
mrclass = {26A33 (34A08)},
mrnumber = {4069927},
mrreviewer = {E.\ Capelas\ de Oliveira},
doi = {10.1515/fca-2020-0008},
url = {https://doi.org/10.1515/fca-2020-0008}
}
@Article{ hara.slade:00:scaling,
author = {Hara, Takashi and Slade, Gordon},
title = {The scaling limit of the incipient infinite cluster in
high-dimensional percolation. {I}. {C}ritical exponents},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {99},
year = {2000},
number = {5-6},
pages = {1075--1168},
issn = {0022-4715},
mrclass = {82B43 (60K35)},
mrnumber = {1773141},
mrreviewer = {Remco van der Hofstad},
doi = {10.1023/A:1018628503898},
url = {https://doi.org/10.1023/A:1018628503898}
}
@InCollection{ hara.slade:00:scaling*1,
author = {Hara, Takashi and Slade, Gordon},
title = {The scaling limit of the incipient infinite cluster in
high-dimensional percolation. {II}. {I}ntegrated
super-{B}rownian excursion},
note = {Probabilistic techniques in equilibrium and nonequilibrium
statistical physics},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {41},
year = {2000},
number = {3},
pages = {1244--1293},
issn = {0022-2488},
mrclass = {82B43 (60K35)},
mrnumber = {1757958},
mrreviewer = {Remco van der Hofstad},
doi = {10.1063/1.533186},
url = {https://doi.org/10.1063/1.533186}
}
@Article{ hara.slade:91:critical,
author = {Hara, Takashi and Slade, Gordon},
title = {Critical behaviour of self-avoiding walk in five or more
dimensions},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {25},
year = {1991},
number = {2},
pages = {417--423},
issn = {0273-0979},
mrclass = {82B41 (60K35 82B27)},
mrnumber = {1093059},
mrreviewer = {Cheng Xun Wu},
doi = {10.1090/S0273-0979-1991-16085-4},
url = {https://doi.org/10.1090/S0273-0979-1991-16085-4}
}
@Article{ hara.slade:92:self-avoiding,
author = {Hara, Takashi and Slade, Gordon},
title = {Self-avoiding walk in five or more dimensions. {I}. {T}he
critical behaviour},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {147},
year = {1992},
number = {1},
pages = {101--136},
issn = {0010-3616},
mrclass = {82B41 (60J15 82B27)},
mrnumber = {1171762},
mrreviewer = {Neal Madras},
url = {http://projecteuclid.org/euclid.cmp/1104250528}
}
@Article{ hara.tasaki:87:rigorous,
author = {Hara, Takashi and Tasaki, Hal},
title = {A rigorous control of logarithmic corrections in
four-dimensional {$\phi^4$} spin systems. {II}. {C}ritical
behavior of susceptibility and correlation length},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {47},
year = {1987},
number = {1-2},
pages = {99--121},
issn = {0022-4715},
mrclass = {82A25 (81E25 82A05)},
mrnumber = {892925},
doi = {10.1007/BF01009036},
url = {https://doi.org/10.1007/BF01009036}
}
@Article{ harang.tindel.ea:23:volterra,
author = {Harang, Fabian A. and Tindel, Samy and Wang, Xiaohua},
title = {Volterra equations driven by rough signals 2:
{H}igher-order expansions},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {23},
year = {2023},
number = {1},
pages = {Paper No. 2350002, 50},
issn = {0219-4937,1793-6799},
mrclass = {45D05 (45G05 60L20 60L30 60L70)},
mrnumber = {4566955},
mrreviewer = {Barbara\ Pacchiarotti},
doi = {10.1142/S0219493723500028},
url = {https://doi.org/10.1142/S0219493723500028}
}
@Article{ harang.tindel.ea:24:volterra,
author = {Harang, Fabian and Tindel, Samy and Wang, Xiaohua},
title = {Volterra equations driven by rough signals 3:
probabilistic construction of the {V}olterra rough path for
fractional {B}rownian motions},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {37},
year = {2024},
number = {1},
pages = {307--351},
issn = {0894-9840,1572-9230},
mrclass = {60L20 (60G22 60H05 60H07 60L10)},
mrnumber = {4716320},
mrreviewer = {Yuzuru\ Inahama},
doi = {10.1007/s10959-023-01251-y},
url = {https://doi.org/10.1007/s10959-023-01251-y}
}
@Article{ harang.tindel:21:volterra,
author = {Harang, Fabian A. and Tindel, Samy},
title = {Volterra equations driven by rough signals},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {142},
year = {2021},
pages = {34--78},
issn = {0304-4149},
mrclass = {60L20 (34A12 45D05 60H20)},
mrnumber = {4309474},
doi = {10.1016/j.spa.2021.08.001},
url = {https://doi.org/10.1016/j.spa.2021.08.001}
}
@Book{ haraux:81:nonlinear,
author = {Haraux, Alain},
title = {Nonlinear evolution equations---global behavior of
solutions},
series = {Lecture Notes in Mathematics},
volume = {841},
publisher = {Springer-Verlag, Berlin-New York},
year = {1981},
pages = {xii+313},
isbn = {3-540-10563-8},
mrclass = {47H15 (34G20 35K22)},
mrnumber = {610796},
mrreviewer = {Sadakazu Aizawa}
}
@Article{ harding:08:explaining,
author = {Harding, Matthew C.},
title = {Explaining the single factor bias of arbitrage pricing
models in finite samples},
journal = {Econom. Lett.},
fjournal = {Economics Letters},
volume = {99},
year = {2008},
number = {1},
pages = {85--88},
issn = {0165-1765},
mrclass = {62P05 (91B24)},
mrnumber = {2401243},
doi = {10.1016/j.econlet.2007.06.001},
url = {https://doi.org/10.1016/j.econlet.2007.06.001}
}
@Article{ haress.hu:21:estimation,
author = {Haress, El Mehdi and Hu, Yaozhong},
title = {Estimation of all parameters in the fractional
{O}rnstein-{U}hlenbeck model under discrete observations},
journal = {Stat. Inference Stoch. Process.},
fjournal = {Statistical Inference for Stochastic Processes. An
International Journal Devoted to Time Series Analysis and
the Statistics of Continuous Time Processes and Dynamical
Systems},
volume = {24},
year = {2021},
number = {2},
pages = {327--351},
issn = {1387-0874},
mrclass = {62M09 (60G22 60H10 60H30)},
mrnumber = {4265053},
doi = {10.1007/s11203-020-09235-z},
url = {https://doi.org/10.1007/s11203-020-09235-z}
}
@Article{ harn.steutel:01:stationarity,
author = {van Harn, K. and Steutel, F. W.},
title = {Stationarity of delayed subordinators},
journal = {Stoch. Models},
fjournal = {Stochastic Models},
volume = {17},
year = {2001},
number = {3},
pages = {369--374},
issn = {1532-6349},
mrclass = {60G10 (60G51)},
mrnumber = {1850584},
mrreviewer = {Zdzis{\l}aw Rychlik},
doi = {10.1081/STM-100002278},
url = {https://doi.org/10.1081/STM-100002278}
}
@InCollection{ harnad.tracy.ea:93:hamiltonian,
author = {Harnad, J. and Tracy, C. A. and Widom, H.},
title = {Hamiltonian structure of equations appearing in random
matrices},
booktitle = {Low-dimensional topology and quantum field theory
({C}ambridge, 1992)},
series = {NATO Adv. Sci. Inst. Ser. B: Phys.},
volume = {315},
pages = {231--245},
publisher = {Plenum, New York},
year = {1993},
mrclass = {82B44 (58F05)},
mrnumber = {1263987}
}
@Article{ harnett.jaramillo.ea:19:symmetric,
author = {Harnett, Daniel and Jaramillo, Arturo and Nualart, David},
title = {Symmetric stochastic integrals with respect to a class of
self-similar {G}aussian processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {32},
year = {2019},
number = {3},
pages = {1105--1144},
issn = {0894-9840},
mrclass = {60H05 (60G18 60G22 60H07)},
mrnumber = {3979662},
mrreviewer = {Georgiy M. Shevchenko},
doi = {10.1007/s10959-018-0833-1},
url = {https://doi.org/10.1007/s10959-018-0833-1}
}
@Article{ harnett.nualart:12:weak,
author = {Harnett, Daniel and Nualart, David},
title = {Weak convergence of the {S}tratonovich integral with
respect to a class of {G}aussian processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {10},
pages = {3460--3505},
issn = {0304-4149},
mrclass = {60H07 (60F05 60G15 60G22 60H05)},
mrnumber = {2956113},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1016/j.spa.2012.06.008},
url = {https://doi.org/10.1016/j.spa.2012.06.008}
}
@Article{ harnett.nualart:13:central,
author = {Harnett, Daniel and Nualart, David},
title = {Central limit theorem for a {S}tratonovich integral with
{M}alliavin calculus},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {4},
pages = {2820--2879},
issn = {0091-1798},
mrclass = {60H05 (60F05 60G15 60H07)},
mrnumber = {3112933},
mrreviewer = {Maria Jolis},
doi = {10.1214/12-AOP769},
url = {https://doi.org/10.1214/12-AOP769}
}
@Article{ harnett.nualart:14:central,
author = {Harnett, Daniel and Nualart, David},
title = {Central limit theorem for an iterated integral with
respect to f{B}m with {$H>1/2$}},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {86},
year = {2014},
number = {2},
pages = {187--202},
issn = {1744-2508},
mrclass = {60F05 (60G22 60H07)},
mrnumber = {3180032},
mrreviewer = {Xiangfeng Yang},
doi = {10.1080/17442508.2013.774403},
url = {https://doi.org/10.1080/17442508.2013.774403}
}
@Article{ harnett.nualart:15:on,
author = {Harnett, Daniel and Nualart, David},
title = {On {S}impson's rule and fractional {B}rownian motion with
{$H=1/10$}},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {28},
year = {2015},
number = {4},
pages = {1651--1688},
issn = {0894-9840},
mrclass = {60H05 (60F05 60G22 60H07)},
mrnumber = {3422945},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1007/s10959-014-0552-1},
url = {https://doi.org/10.1007/s10959-014-0552-1}
}
@InCollection{ harnett.nualart:17:decomposition,
author = {Harnett, Daniel and Nualart, David},
title = {Decomposition and limit theorems for a class of
self-similar {G}aussian processes},
booktitle = {Stochastic analysis and related topics},
series = {Progr. Probab.},
volume = {72},
pages = {99--116},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2017},
mrclass = {60F05 (60G18 60H07)},
mrnumber = {3737626},
mrreviewer = {Ivan Nourdin},
doi = {10.1007/978-3-319-59671-6\_5},
url = {https://doi.org/10.1007/978-3-319-59671-6_5}
}
@Article{ harnett.nualart:18:central,
author = {Harnett, Daniel and Nualart, David},
title = {Central limit theorem for functionals of a generalized
self-similar {G}aussian process},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {128},
year = {2018},
number = {2},
pages = {404--425},
issn = {0304-4149},
mrclass = {60F05 (60G18 60G22 60H07)},
mrnumber = {3739502},
mrreviewer = {Solesne Bourguin},
doi = {10.1016/j.spa.2017.04.014},
url = {https://doi.org/10.1016/j.spa.2017.04.014}
}
@Article{ harris:60:lower,
author = {Harris, T. E.},
title = {A lower bound for the critical probability in a certain
percolation process},
journal = {Proc. Cambridge Philos. Soc.},
fjournal = {Proceedings of the Cambridge Philosophical Society},
volume = {56},
year = {1960},
pages = {13--20},
issn = {0008-1981},
mrclass = {60.00},
mrnumber = {115221},
mrreviewer = {G. Newell}
}
@Article{ harsanyi:75:can,
author = {Harsanyi, John C.},
title = {Can the maximin principle serve as a basis for morality?
{A} critique of {John Rawls}'s theory},
journal = {Amer. Political Sci. Rev.},
fjournal = {The American Political Science Review},
volume = {69},
number = {2},
pages = {594--606},
year = {1975},
doi = {10.2307/1959080},
publisher = {Cambridge University Press}
}
@Article{ hart.nilsson.ea:68:formal,
title = {A formal basis for the heuristic determination of minimum
cost paths},
author = {Hart, Peter E and Nilsson, Nils J and Raphael, Bertram},
journal = {IEEE Transactions on Systems Science and Cybernetics},
volume = {4},
number = {2},
pages = {100--107},
year = {1968},
publisher = {IEEE}
}
@Book{ hartman:02:ordinary,
author = {Hartman, Philip},
title = {Ordinary differential equations},
series = {Classics in Applied Mathematics},
volume = {38},
note = {Corrected reprint of the second (1982) edition
[Birkh\"{a}user, Boston, MA; MR0658490 (83e:34002)], With a
foreword by Peter Bates},
publisher = {Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, PA},
year = {2002},
pages = {xx+612},
isbn = {0-89871-510-5},
mrclass = {34-01 (37-01)},
mrnumber = {1929104},
doi = {10.1137/1.9780898719222},
url = {https://doi.org/10.1137/1.9780898719222}
}
@Article{ hartung.klimovsky:15:glassy,
author = {Hartung, Lisa and Klimovsky, Anton},
title = {The glassy phase of the complex branching {B}rownian
motion energy model},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {20},
year = {2015},
pages = {no. 78, 15},
issn = {1083-589X},
mrclass = {60J80 (60F05 60G70 60K35 82B44)},
mrnumber = {3417450},
doi = {10.1214/ECP.v20-4360},
url = {https://doi.org/10.1214/ECP.v20-4360}
}
@Article{ hartung.klimovsky:18:phase,
author = {Hartung, Lisa and Klimovsky, Anton},
title = {The phase diagram of the complex branching {B}rownian
motion energy model},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {23},
year = {2018},
pages = {Paper No. 127, 27},
issn = {1083-6489},
mrclass = {60J80 (60F05 60J65 60K35 82B26 82B44)},
mrnumber = {3896864},
doi = {10.1214/18-EJP245},
url = {https://doi.org/10.1214/18-EJP245}
}
@Article{ hashira.ishida.ea:18:finite-time,
author = {Hashira, Takahiro and Ishida, Sachiko and Yokota, Tomomi},
title = {Finite-time blow-up for quasilinear degenerate
{K}eller-{S}egel systems of parabolic-parabolic type},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {264},
year = {2018},
number = {10},
pages = {6459--6485},
issn = {0022-0396},
mrclass = {35K51 (35B44 35K59 35K65 92C17)},
mrnumber = {3770055},
doi = {10.1016/j.jde.2018.01.038},
url = {https://doi.org/10.1016/j.jde.2018.01.038}
}
@Article{ hass.carroll-godfrey.ea:23:anomalous,
author = {Hass, Jacob B. and Carroll-Godfrey, Aileen N. and Corwin,
Ivan and Corwin, Eric I.},
title = {Anomalous fluctuations of extremes in many-particle
diffusion},
journal = {Phys. Rev. E},
fjournal = {Physical Review E},
volume = {107},
year = {2023},
number = {2},
pages = {Paper No. L022101, 7},
issn = {2470-0045,2470-0053},
mrclass = {82C41},
mrnumber = {4557238},
doi = {10.1103/physreve.107.l022101},
url = {https://doi.org/10.1103/physreve.107.l022101}
}
@Article{ hastie.buja.ea:95:penalized,
author = {Hastie, Trevor and Buja, Andreas and Tibshirani, Robert},
title = {Penalized discriminant analysis},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {23},
year = {1995},
number = {1},
pages = {73--102},
issn = {0090-5364},
mrclass = {62H30},
mrnumber = {1331657},
mrreviewer = {Ra\'{u}l Pedro Mentz},
doi = {10.1214/aos/1176324456},
url = {https://doi.org/10.1214/aos/1176324456}
}
@Article{ hastings.mcleod:80:boundary,
author = {Hastings, S. P. and McLeod, J. B.},
title = {A boundary value problem associated with the second
{P}ainlev\'{e} transcendent and the {K}orteweg-de\thinspace
{V}ries equation},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {73},
year = {1980},
number = {1},
pages = {31--51},
issn = {0003-9527},
mrclass = {34B30 (35Q20)},
mrnumber = {555581},
mrreviewer = {Richard Brown},
doi = {10.1007/BF00283254},
url = {https://doi.org/10.1007/BF00283254}
}
@Book{ hatcher:02:algebraic,
author = {Hatcher, Allen},
title = {Algebraic topology},
publisher = {Cambridge University Press, Cambridge},
year = {2002},
pages = {xii+544},
isbn = {0-521-79160-X; 0-521-79540-0},
mrclass = {55-01 (55-00)},
mrnumber = {1867354},
mrreviewer = {Donald W. Kahn}
}
@Article{ haubold.mathai.ea:11:mittag-leffler,
author = {Haubold, H. J. and Mathai, A. M. and Saxena, R. K.},
title = {Mittag-{L}effler functions and their applications},
journal = {J. Appl. Math.},
fjournal = {Journal of Applied Mathematics},
year = {2011},
pages = {Art. ID 298628, 51},
issn = {1110-757X},
mrclass = {33E12 (26A33 33-02 33D15 60G22)},
mrnumber = {2800586},
mrreviewer = {Rudolf Gorenflo},
doi = {10.1155/2011/298628},
url = {https://doi.org/10.1155/2011/298628}
}
@Article{ hauray:09:wasserstein,
author = {Hauray, Maxime},
title = {Wasserstein distances for vortices approximation of
{E}uler-type equations},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {19},
year = {2009},
number = {8},
pages = {1357--1384},
issn = {0218-2025},
mrclass = {35Q31 (35L65)},
mrnumber = {2555474},
doi = {10.1142/S0218202509003814},
url = {https://doi.org/10.1142/S0218202509003814}
}
@Article{ hausenblas.mukherjee.ea:22:one-dimensional,
author = {Hausenblas, Erika and Mukherjee, Debopriya and Tran,
Thanh},
title = {The one-dimensional stochastic {K}eller-{S}egel model with
time-homogeneous spatial {W}iener processes},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {310},
year = {2022},
pages = {506--554},
issn = {0022-0396},
mrclass = {60H15 (35A01 35B65 35K51 35K87 35Q92 92C17)},
mrnumber = {4355927},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1016/j.jde.2021.10.056},
url = {https://doi.org/10.1016/j.jde.2021.10.056}
}
@Article{ hausenblas.seidler:01:note,
author = {Hausenblas, Erika and Seidler, Jan},
title = {A note on maximal inequality for stochastic convolutions},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {51(126)},
year = {2001},
number = {4},
pages = {785--790},
issn = {0011-4642,1572-9141},
mrclass = {60H05},
mrnumber = {1864042},
mrreviewer = {Jorge\ A.\ Le\'{o}n},
doi = {10.1023/A:1013717013421},
url = {https://doi.org/10.1023/A:1013717013421}
}
@Article{ hausenblas.seidler:08:stochastic,
author = {Hausenblas, Erika and Seidler, Jan},
title = {Stochastic convolutions driven by martingales: maximal
inequalities and exponential integrability},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {26},
year = {2008},
number = {1},
pages = {98--119},
issn = {0736-2994},
mrclass = {60H15 (60G44)},
mrnumber = {2378512},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1080/07362990701673047},
url = {https://doi.org/10.1080/07362990701673047}
}
@Article{ hawkes:79:potential,
author = {Hawkes, John},
title = {Potential theory of {L}\'{e}vy processes},
journal = {Proc. London Math. Soc. (3)},
fjournal = {Proceedings of the London Mathematical Society. Third
Series},
volume = {38},
year = {1979},
number = {2},
pages = {335--352},
issn = {0024-6115},
mrclass = {60J45},
mrnumber = {531166},
mrreviewer = {Mamoru Kanda},
doi = {10.1112/plms/s3-38.2.335},
url = {https://doi.org/10.1112/plms/s3-38.2.335}
}
@InCollection{ hawkes:84:some,
author = {Hawkes, John},
title = {Some geometric aspects of potential theory},
booktitle = {Stochastic analysis and applications ({S}wansea, 1983)},
series = {Lecture Notes in Math.},
volume = {1095},
pages = {130--154},
publisher = {Springer, Berlin},
year = {1984},
mrclass = {60J45 (60J30)},
mrnumber = {777518},
mrreviewer = {Mamoru Kanda},
doi = {10.1007/BFb0099126},
url = {https://doi.org/10.1007/BFb0099126}
}
@Article{ hayakawa:73:on,
author = {Hayakawa, Kantaro},
title = {On nonexistence of global solutions of some semilinear
parabolic differential equations},
journal = {Proc. Japan Acad.},
fjournal = {Proceedings of the Japan Academy},
volume = {49},
year = {1973},
pages = {503--505},
issn = {0021-4280},
mrclass = {35K60},
mrnumber = {338569},
mrreviewer = {J. A. Goldstein},
url = {http://projecteuclid.org/euclid.pja/1195519254}
}
@Article{ he.kiselev:21:small-scale,
author = {He, Siming and Kiselev, Alexander},
title = {Small-scale creation for solutions of the {SQG} equation},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {170},
year = {2021},
number = {5},
pages = {1027--1041},
issn = {0012-7094},
mrclass = {35Q35 (76U60)},
mrnumber = {4255049},
doi = {10.1215/00127094-2020-0064},
url = {https://doi.org/10.1215/00127094-2020-0064}
}
@Article{ he.zheng:16:convergence,
author = {He, Xiao and Zheng, Sining},
title = {Convergence rate estimates of solutions in a higher
dimensional chemotaxis system with logistic source},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {436},
year = {2016},
number = {2},
pages = {970--982},
issn = {0022-247X},
mrclass = {35K51 (35B40 35B41 35K59 35Q92 92C17)},
mrnumber = {3446989},
doi = {10.1016/j.jmaa.2015.12.058},
url = {https://doi.org/10.1016/j.jmaa.2015.12.058}
}
@Article{ he:18:suppression,
author = {He, Siming},
title = {Suppression of blow-up in parabolic-parabolic
{P}atlak-{K}eller-{S}egel via strictly monotone shear
flows},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {31},
year = {2018},
number = {8},
pages = {3651--3688},
issn = {0951-7715},
mrclass = {35K45 (35A01 35B44)},
mrnumber = {3826109},
mrreviewer = {Hongwei Chen},
doi = {10.1088/1361-6544/aac1ce},
url = {https://doi.org/10.1088/1361-6544/aac1ce}
}
@Article{ heathcote.husler:90:first,
author = {Heathcote, C. R. and H\"{u}sler, J.},
title = {The first zero of an empirical characteristic function},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {35},
year = {1990},
number = {2},
pages = {347--360},
issn = {0304-4149},
mrclass = {60F05},
mrnumber = {1067118},
mrreviewer = {S\'{a}ndor Cs\"{o}rg\H{o}},
doi = {10.1016/0304-4149(90)90012-H},
url = {https://doi.org/10.1016/0304-4149(90)90012-H}
}
@InProceedings{ hedberg:80:spectral,
author = {Hedberg, Lars Inge},
title = {Spectral synthesis and stability in {S}obolev spaces},
booktitle = {Euclidean harmonic analysis ({P}roc. {S}em., {U}niv.
{M}aryland, {C}ollege {P}ark, {M}d., 1979)},
series = {Lecture Notes in Math.},
volume = {779},
pages = {73--103},
publisher = {Springer, Berlin},
year = {1980},
mrclass = {46E35 (41A65)},
mrnumber = {576040},
mrreviewer = {V. P. Khavin}
}
@Article{ hedberg:81:spectral,
author = {Hedberg, Lars Inge},
title = {Spectral synthesis in {S}obolev spaces, and uniqueness of
solutions of the {D}irichlet problem},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {147},
year = {1981},
number = {3-4},
pages = {237--264},
issn = {0001-5962},
mrclass = {46E35 (31B15 35Jxx 42B99)},
mrnumber = {639040},
mrreviewer = {David R. Adams},
doi = {10.1007/BF02392874},
url = {https://doi.org/10.1007/BF02392874}
}
@Article{ heicklen.lyons:03:change,
author = {Heicklen, Deborah and Lyons, Russell},
title = {Change intolerance in spanning forests},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {16},
year = {2003},
number = {1},
pages = {47--58},
issn = {0894-9840},
mrclass = {60C05 (05C05 60K35)},
mrnumber = {1956820},
mrreviewer = {Wolfgang Stadje},
doi = {10.1023/A:1022222319655},
url = {https://doi.org/10.1023/A:1022222319655}
}
@Article{ held.pierrehumbert.ea:95:surface,
author = {Held, Isaac M. and Pierrehumbert, Raymond T. and Garner,
Stephen T. and Swanson, Kyle L.},
title = {Surface quasi-geostrophic dynamics},
journal = {J. Fluid Mech.},
fjournal = {Journal of Fluid Mechanics},
volume = {282},
year = {1995},
pages = {1--20},
issn = {0022-1120},
mrclass = {76C05 (76F99 76U05 86A10)},
mrnumber = {1312238},
doi = {10.1017/S0022112095000012},
url = {https://doi.org/10.1017/S0022112095000012}
}
@Article{ helfer.wise:16:note,
author = {Helfer, Joseph and Wise, Daniel T.},
title = {A note on maxima in random walks},
journal = {Electron. J. Combin.},
fjournal = {Electronic Journal of Combinatorics},
volume = {23},
year = {2016},
number = {1},
pages = {Paper 1.17, 10},
mrclass = {60G50 (05A19)},
mrnumber = {3484722},
doi = {10.37236/5330},
url = {https://doi.org/10.37236/5330}
}
@Book{ helgason:00:groups,
author = {Helgason, Sigurdur},
title = {Groups and geometric analysis},
series = {Mathematical Surveys and Monographs},
volume = {83},
note = {Integral geometry, invariant differential operators, and
spherical functions, Corrected reprint of the 1984
original},
publisher = {American Mathematical Society, Providence, RI},
year = {2000},
pages = {xxii+667},
isbn = {0-8218-2673-5},
mrclass = {22-02 (22E30 22E46 43A85 43A90 44A12 53-02 58-02)},
mrnumber = {1790156},
doi = {10.1090/surv/083},
url = {https://doi.org/10.1090/surv/083}
}
@InProceedings{ helgason:66:duality,
author = {Helgason, Sigur\dj ur},
title = {A duality in integral geometry on symmetric spaces},
booktitle = {Proc. {U}.{S}.-{J}apan {S}eminar in {D}ifferential
{G}eometry ({K}yoto, 1965)},
pages = {37--56},
publisher = {Nippon Hyoronsha Co., Ltd., Tokyo},
year = {1966},
mrclass = {53.90},
mrnumber = {229191},
mrreviewer = {J. A. Wolf}
}
@Article{ helson.sarason:67:past,
author = {Helson, Henry and Sarason, Donald},
title = {Past and future},
journal = {Math. Scand.},
fjournal = {Mathematica Scandinavica},
volume = {21},
year = {1967},
pages = {5--16 (1968)},
issn = {0025-5521},
mrclass = {60.50},
mrnumber = {236989},
mrreviewer = {R. Jajte},
doi = {10.7146/math.scand.a-10840},
url = {https://doi.org/10.7146/math.scand.a-10840}
}
@Article{ henderson.rajeev:98:renormalized,
author = {Henderson, R. J. and Rajeev, S. G.},
title = {Renormalized contact potential in two dimensions},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {39},
year = {1998},
number = {2},
pages = {749--759},
issn = {0022-2488},
mrclass = {81T15},
mrnumber = {1600356},
doi = {10.1063/1.532350},
url = {https://doi.org/10.1063/1.532350}
}
@Book{ henkel:99:conformal,
author = {Henkel, Malte},
title = {Conformal invariance and critical phenomena},
series = {Texts and Monographs in Physics},
publisher = {Springer-Verlag, Berlin},
year = {1999},
pages = {xviii+417},
isbn = {3-540-65321-X},
mrclass = {82B27 (81T40 81T80 82-01 82B20)},
mrnumber = {1694135},
mrreviewer = {Anjan Kundu},
doi = {10.1007/978-3-662-03937-3},
url = {https://doi.org/10.1007/978-3-662-03937-3}
}
@Book{ henrot.pierre:05:variation,
author = {Henrot, Antoine and Pierre, Michel},
title = {Variation et optimisation de formes},
series = {Math\'{e}matiques \& Applications (Berlin) [Mathematics \&
Applications]},
volume = {48},
note = {Une analyse g\'{e}om\'{e}trique. [A geometric analysis]},
publisher = {Springer, Berlin},
year = {2005},
pages = {xii+334},
isbn = {978-3-540-26211-4; 3-540-26211-3},
mrclass = {49-02 (35A15 35J20 35R35 49K20 49Q05 49Q10 74P10)},
mrnumber = {2512810},
doi = {10.1007/3-540-37689-5},
url = {https://doi.org/10.1007/3-540-37689-5}
}
@Article{ henry.hilhorst.ea:99:convergence,
author = {Henry, Marie and Hilhorst, Danielle and Sch\"{a}tzle,
Reiner},
title = {Convergence to a viscosity solution for an
advection-reaction-diffusion equation arising from a
chemotaxis-growth model},
journal = {Hiroshima Math. J.},
fjournal = {Hiroshima Mathematical Journal},
volume = {29},
year = {1999},
number = {3},
pages = {591--630},
issn = {0018-2079},
mrclass = {35K57 (35R35 92C17)},
mrnumber = {1728613},
mrreviewer = {Si Ning Zheng},
url = {http://projecteuclid.org/euclid.hmj/1206124856}
}
@Book{ henry:81:geometric,
author = {Henry, Daniel},
title = {Geometric theory of semilinear parabolic equations},
series = {Lecture Notes in Mathematics},
volume = {840},
publisher = {Springer-Verlag, Berlin-New York},
year = {1981},
pages = {iv+348},
isbn = {3-540-10557-3},
mrclass = {35K55 (34G20 58D25)},
mrnumber = {610244},
mrreviewer = {J. A. Goldstein}
}
@Article{ henry:85:some,
author = {Henry, Daniel B.},
title = {Some infinite-dimensional {M}orse-{S}male systems defined
by parabolic partial differential equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {59},
year = {1985},
number = {2},
pages = {165--205},
issn = {0022-0396},
mrclass = {58F09 (35B99 35K55)},
mrnumber = {804887},
mrreviewer = {Yu. E. Gliklikh},
doi = {10.1016/0022-0396(85)90153-6},
url = {https://doi.org/10.1016/0022-0396(85)90153-6}
}
@InCollection{ herbin.xiao:19:sample,
author = {Herbin, Erick and Xiao, Yimin},
title = {Sample paths properties of the set-indexed fractional
{B}rownian motion},
booktitle = {New trends in applied harmonic analysis. {V}ol.
2---harmonic analysis, geometric measure theory, and
applications},
series = {Appl. Numer. Harmon. Anal.},
pages = {293--316},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {[2019] \copyright 2019},
isbn = {978-3-030-32352-3; 978-3-030-32353-0},
mrclass = {60G17 (28A78 28A80 60G22)},
mrnumber = {4311202},
doi = {10.1007/978-3-030-32353-0\_10},
url = {https://doi.org/10.1007/978-3-030-32353-0_10}
}
@Article{ hermon.lacoin.ea:16:total,
author = {Hermon, Jonathan and Lacoin, Hubert and Peres, Yuval},
title = {Total variation and separation cutoffs are not equivalent
and neither one implies the other},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {21},
year = {2016},
pages = {Paper No. 44, 36},
issn = {1083-6489},
mrclass = {60J10},
mrnumber = {3530321},
mrreviewer = {Yong-Hua\ Mao},
doi = {10.1214/16-EJP4687},
url = {https://doi.org/10.1214/16-EJP4687}
}
@Article{ hernandez.ong:18:stochastic,
author = {Hern\'{a}ndez, Marco and Ong, Kiah Wah},
title = {Stochastic {S}wift-{H}ohenberg equation with degenerate
linear multiplicative noise},
journal = {J. Math. Fluid Mech.},
fjournal = {Journal of Mathematical Fluid Mechanics},
volume = {20},
year = {2018},
number = {3},
pages = {1353--1372},
issn = {1422-6928,1422-6952},
mrclass = {35R60 (37D10 37L10 60H15)},
mrnumber = {3841986},
mrreviewer = {Le\ Chen},
doi = {10.1007/s00021-018-0368-3},
url = {https://doi.org/10.1007/s00021-018-0368-3}
}
@Article{ herrell.song.ea:20:sharp,
author = {Herrell, Randall and Song, Renming and Wu, Dongsheng and
Xiao, Yimin},
title = {Sharp space-time regularity of the solution to stochastic
heat equation driven by fractional-colored noise},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {38},
year = {2020},
number = {4},
pages = {747--768},
issn = {0736-2994},
mrclass = {60G15 (60F25 60G18 60H15 60J55)},
mrnumber = {4112745},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1080/07362994.2020.1721301},
url = {https://doi.org/10.1080/07362994.2020.1721301}
}
@Article{ herrero.medina.ea:97:finite-time,
author = {Herrero, M. A. and Medina, E. and Vel\'{a}zquez, J. J. L.},
title = {Finite-time aggregation into a single point in a
reaction-diffusion system},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {10},
year = {1997},
number = {6},
pages = {1739--1754},
issn = {0951-7715},
mrclass = {35K57 (35B40 93B05)},
mrnumber = {1483563},
doi = {10.1088/0951-7715/10/6/016},
url = {https://doi.org/10.1088/0951-7715/10/6/016}
}
@Article{ herrero.medina.ea:98:self-similar,
author = {Herrero, M. A. and Medina, E. and Vel\'{a}zquez, J. J. L.},
title = {Self-similar blow-up for a reaction-diffusion system},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {97},
year = {1998},
number = {1-2},
pages = {99--119},
issn = {0377-0427},
mrclass = {35K57 (35B40 93C20)},
mrnumber = {1651769},
doi = {10.1016/S0377-0427(98)00104-6},
url = {https://doi.org/10.1016/S0377-0427(98)00104-6}
}
@Article{ herrero.velazquez:92:approaching,
author = {Herrero, M. A. and Vel\'{a}zquez, J. J. L.},
title = {Approaching an extinction point in one-dimensional
semilinear heat equations with strong absorption},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {170},
year = {1992},
number = {2},
pages = {353--381},
issn = {0022-247X},
mrclass = {35B40 (35K15)},
mrnumber = {1188559},
mrreviewer = {Song Mu Zheng},
doi = {10.1016/0022-247X(92)90024-8},
url = {https://doi.org/10.1016/0022-247X(92)90024-8}
}
@Article{ herrero.velazquez:93:blow-up,
author = {Herrero, M. A. and Vel\'{a}zquez, J. J. L.},
title = {Blow-up behaviour of one-dimensional semilinear parabolic
equations},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {10},
year = {1993},
number = {2},
pages = {131--189},
issn = {0294-1449},
mrclass = {35B40 (35K60)},
mrnumber = {1220032},
mrreviewer = {Song Mu Zheng},
doi = {10.1016/S0294-1449(16)30217-7},
url = {https://doi.org/10.1016/S0294-1449(16)30217-7}
}
@Article{ herrero.velazquez:94:explosion,
author = {Herrero, Miguel A. and Vel\'{a}zquez, Juan J. L.},
title = {Explosion de solutions d'\'{e}quations paraboliques
semilin\'{e}aires supercritiques},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {319},
year = {1994},
number = {2},
pages = {141--145},
issn = {0764-4442},
mrclass = {35B40 (35K57)},
mrnumber = {1288393},
mrreviewer = {Sergey A. Vakulenko}
}
@Article{ herrero.velazquez:96:singularity,
author = {Herrero, Miguel A. and Vel\'{a}zquez, Juan J. L.},
title = {Singularity formation in the one-dimensional supercooled
{S}tefan problem},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {7},
year = {1996},
number = {2},
pages = {119--150},
issn = {0956-7925},
mrclass = {80A22},
mrnumber = {1388108},
mrreviewer = {Vadim S. Nustrov},
doi = {10.1017/S0956792500002266},
url = {https://doi.org/10.1017/S0956792500002266}
}
@Article{ herrero.velazquez:96:singularity*1,
author = {Herrero, Miguel A. and Vel\'{a}zquez, Juan J. L.},
title = {Singularity patterns in a chemotaxis model},
journal = {Math. Ann.},
fjournal = {Mathematische Annalen},
volume = {306},
year = {1996},
number = {3},
pages = {583--623},
issn = {0025-5831},
mrclass = {35Q99 (35B05 35K55 92C40)},
mrnumber = {1415081},
mrreviewer = {Joseph G.-G. Yan},
doi = {10.1007/BF01445268},
url = {https://doi.org/10.1007/BF01445268}
}
@Article{ herrero.velazquez:97:blow-up,
author = {Herrero, Miguel A. and Vel\'{a}zquez, Juan J. L.},
title = {A blow-up mechanism for a chemotaxis model},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie IV},
volume = {24},
year = {1997},
number = {4},
pages = {633--683 (1998)},
issn = {0391-173X},
mrclass = {92C15 (35K60 35Q80 92D50)},
mrnumber = {1627338},
mrreviewer = {Yoram Schiffmann},
url = {http://www.numdam.org/item?id=ASNSP_1997_4_24_4_633_0}
}
@Book{ herrmann.imkeller.ea:14:stochastic,
author = {Herrmann, Samuel and Imkeller, Peter and Pavlyukevich,
Ilya and Peithmann, Dierk},
title = {Stochastic resonance},
series = {Mathematical Surveys and Monographs},
volume = {194},
note = {A mathematical approach in the small noise limit},
publisher = {American Mathematical Society, Providence, RI},
year = {2014},
pages = {xvi+189},
isbn = {978-1-4704-1049-0},
mrclass = {60-02 (34F15 37H10 60F10 60H10 60J60 60J70 65C50)},
mrnumber = {3155413},
mrreviewer = {Dirk Bl\"{o}mker},
doi = {10.1090/surv/194},
url = {https://doi.org/10.1090/surv/194}
}
@Book{ herrmann:14:fractional,
author = {Herrmann, Richard},
title = {Fractional calculus},
edition = {Second},
note = {An introduction for physicists},
publisher = {World Scientific Publishing Co. Pte. Ltd., Hackensack,
NJ},
year = {2014},
pages = {xx+479},
isbn = {978-981-4551-07-6},
mrclass = {26-01 (00A06 26A33 34A08 70-01 81Q05 81T13)},
mrnumber = {3243574},
mrreviewer = {\L ukasz P\l ociniczak},
doi = {10.1142/8934},
url = {https://doi.org/10.1142/8934}
}
@Article{ herzog.mattingly.ea:23:gibbsian,
author = {Herzog, David P. and Mattingly, Jonathan C. and Nguyen,
Hung D.},
title = {Gibbsian dynamics and the generalized {L}angevin
equation},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {28},
year = {2023},
pages = {Paper No. 13, 29},
issn = {1083-6489},
mrclass = {60H10},
mrnumber = {4536688},
mrreviewer = {Jan\ I.\ Seidler},
doi = {10.1214/23-ejp904},
url = {https://doi.org/10.1214/23-ejp904}
}
@Article{ herzog.mattingly:15:noise-induced,
author = {Herzog, David P. and Mattingly, Jonathan C.},
title = {Noise-induced stabilization of planar flows {I}},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {20},
year = {2015},
pages = {no. 111, 43},
issn = {1083-6489},
mrclass = {60H10 (37A25 37A30 37B25 37H10 93E15)},
mrnumber = {3418543},
mrreviewer = {Henri\ Schurz},
doi = {10.1214/ejp.v20-4047},
url = {https://doi.org/10.1214/ejp.v20-4047}
}
@Article{ herzog.mattingly:15:noise-induced*1,
author = {Herzog, David P. and Mattingly, Jonathan C.},
title = {Noise-induced stabilization of planar flows {II}},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {20},
year = {2015},
pages = {no. 113, 37},
issn = {1083-6489},
mrclass = {37B25 (37A25 37A30 37H10 60H10 93E15)},
mrnumber = {3418545},
mrreviewer = {Henri\ Schurz},
doi = {10.1214/ejp.v20-4048},
url = {https://doi.org/10.1214/ejp.v20-4048}
}
@Article{ herzog.mattingly:15:practical,
author = {Herzog, David P. and Mattingly, Jonathan C.},
title = {A practical criterion for positivity of transition
densities},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {28},
year = {2015},
number = {8},
pages = {2823--2845},
issn = {0951-7715,1361-6544},
mrclass = {60H10 (60H07 93B27)},
mrnumber = {3382587},
mrreviewer = {Tomoyuki\ Ichiba},
doi = {10.1088/0951-7715/28/8/2823},
url = {https://doi.org/10.1088/0951-7715/28/8/2823}
}
@Article{ herzog.mattingly:19:ergodicity,
author = {Herzog, David P. and Mattingly, Jonathan C.},
title = {Ergodicity and {L}yapunov functions for {L}angevin
dynamics with singular potentials},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {72},
year = {2019},
number = {10},
pages = {2231--2255},
issn = {0010-3640,1097-0312},
mrclass = {82C31 (70F99)},
mrnumber = {3998640},
doi = {10.1002/cpa.21862},
url = {https://doi.org/10.1002/cpa.21862}
}
@Article{ hesse.kyprianou:14:mass,
author = {Hesse, Marion and Kyprianou, Andreas E.},
title = {The mass of super-{B}rownian motion upon exiting balls and
{S}heu's compact support condition},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {6},
pages = {2003--2022},
issn = {0304-4149},
mrclass = {60J68 (60J80)},
mrnumber = {3188347},
mrreviewer = {Jos\'{e} Villa-Morales},
doi = {10.1016/j.spa.2014.01.011},
url = {https://doi.org/10.1016/j.spa.2014.01.011}
}
@Article{ hesse.neamtu:19:local,
author = {Hesse, Robert and Neam\c{t}u, Alexandra},
title = {Local mild solutions for rough stochastic partial
differential equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {267},
year = {2019},
number = {11},
pages = {6480--6538},
issn = {0022-0396,1090-2732},
mrclass = {60H15 (60G22 60H05 60L20)},
mrnumber = {4001062},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2019.06.026},
url = {https://doi.org/10.1016/j.jde.2019.06.026}
}
@Book{ hesthaven.warburton:08:nodal,
author = {Hesthaven, Jan S. and Warburton, Tim},
title = {Nodal discontinuous {G}alerkin methods},
series = {Texts in Applied Mathematics},
volume = {54},
note = {Algorithms, analysis, and applications},
publisher = {Springer, New York},
year = {2008},
pages = {xiv+500},
isbn = {978-0-387-72065-4},
mrclass = {65-02 (65M60 65N30)},
mrnumber = {2372235},
mrreviewer = {Weimin Han},
doi = {10.1007/978-0-387-72067-8},
url = {https://doi.org/10.1007/978-0-387-72067-8}
}
@Article{ hetzer.madzvamuse.ea:12:characterization,
author = {Hetzer, Georg and Madzvamuse, Anotida and Shen, Wenxian},
title = {Characterization of {T}uring diffusion-driven instability
on evolving domains},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {32},
year = {2012},
number = {11},
pages = {3975--4000},
issn = {1078-0947,1553-5231},
mrclass = {35K57 (35A01 35A02 37L30)},
mrnumber = {2945815},
mrreviewer = {Hiroki\ Hoshino},
doi = {10.3934/dcds.2012.32.3975},
url = {https://doi.org/10.3934/dcds.2012.32.3975}
}
@Article{ hetzer.nguyen.ea:10:a-stability,
author = {Hetzer, Georg and Nguyen, Tung and Shen, Wenxian},
title = {{$\scr A$}-stability of global attractors of competition
diffusion systems},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {22},
year = {2010},
number = {3},
pages = {533--561},
issn = {1040-7294,1572-9222},
mrclass = {37L30 (35B41 35K51 37C20 37D15 37L05)},
mrnumber = {2719920},
mrreviewer = {Haiyang\ Huang},
doi = {10.1007/s10884-010-9187-9},
url = {https://doi.org/10.1007/s10884-010-9187-9}
}
@Article{ hetzer.nguyen.ea:10:effects,
author = {Hetzer, Georg and Nguyen, Tung and Shen, Wenxian},
title = {Effects of small spatial variation of the reproduction
rate in a two species competition model},
journal = {Electron. J. Differential Equations},
fjournal = {Electronic Journal of Differential Equations},
year = {2010},
pages = {No. 160, 17},
issn = {1072-6691},
mrclass = {92D25 (35K51 35K91)},
mrnumber = {2740601}
}
@Article{ hetzer.nguyen.ea:12:coexistence,
author = {Hetzer, Georg and Nguyen, Tung and Shen, Wenxian},
title = {Coexistence and extinction in the {V}olterra-{L}otka
competition model with nonlocal dispersal},
journal = {Commun. Pure Appl. Anal.},
fjournal = {Communications on Pure and Applied Analysis},
volume = {11},
year = {2012},
number = {5},
pages = {1699--1722},
issn = {1534-0392,1553-5258},
mrclass = {92D25 (35R09)},
mrnumber = {2911107},
doi = {10.3934/cpaa.2012.11.1699},
url = {https://doi.org/10.3934/cpaa.2012.11.1699}
}
@Article{ hetzer.shen.ea:02:asymptotic,
author = {Hetzer, Georg and Shen, Wenxian and Zhu, Shu},
title = {Asymptotic behavior of positive solutions of random and
stochastic parabolic equations of {F}isher and {K}olmogorov
types},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {14},
year = {2002},
number = {1},
pages = {139--188},
issn = {1040-7294,1572-9222},
mrclass = {60H15 (35B05 35B25 35R60 37L55)},
mrnumber = {1878647},
mrreviewer = {Igor\ D.\ Chueshov},
doi = {10.1023/A:1012932212645},
url = {https://doi.org/10.1023/A:1012932212645}
}
@Article{ hetzer.shen.ea:13:effects,
author = {Hetzer, Georg and Shen, Wenxian and Zhang, Aijun},
title = {Effects of spatial variations and dispersal strategies on
principal eigenvalues of dispersal operators and spreading
speeds of monostable equations},
journal = {Rocky Mountain J. Math.},
fjournal = {The Rocky Mountain Journal of Mathematics},
volume = {43},
year = {2013},
number = {2},
pages = {489--513},
issn = {0035-7596,1945-3795},
mrclass = {92D25 (34A33 35K57 37L60 45K05)},
mrnumber = {3077838},
doi = {10.1216/RMJ-2013-43-2-489},
url = {https://doi.org/10.1216/RMJ-2013-43-2-489}
}
@Article{ hetzer.shen:01:convergence,
author = {Hetzer, Georg and Shen, Wenxian},
title = {Convergence in almost periodic competition diffusion
systems},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {262},
year = {2001},
number = {1},
pages = {307--338},
issn = {0022-247X,1096-0813},
mrclass = {35K57 (35B15 35B40)},
mrnumber = {1857229},
mrreviewer = {Sergei\ Trofimchuk},
doi = {10.1006/jmaa.2001.7582},
url = {https://doi.org/10.1006/jmaa.2001.7582}
}
@Article{ hetzer.shen:02:uniform,
author = {Hetzer, Georg and Shen, Wenxian},
title = {Uniform persistence, coexistence, and extinction in almost
periodic/nonautonomous competition diffusion systems},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {34},
year = {2002},
number = {1},
pages = {204--227},
issn = {0036-1410,1095-7154},
mrclass = {37N25 (35B15 35B40 35K57 37L05 92D25)},
mrnumber = {1950832},
mrreviewer = {Michael\ Grinfeld},
doi = {10.1137/S0036141001390695},
url = {https://doi.org/10.1137/S0036141001390695}
}
@Article{ hetzer.shen:05:two,
author = {Hetzer, Georg and Shen, Wenxian},
title = {Two species competition with an inhibitor involved},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {12},
year = {2005},
number = {1},
pages = {39--57},
issn = {1078-0947,1553-5231},
mrclass = {34D20 (34D35 92D25)},
mrnumber = {2121248},
mrreviewer = {Peter\ Moson},
doi = {10.3934/dcds.2005.12.39},
url = {https://doi.org/10.3934/dcds.2005.12.39}
}
@Article{ hetzer.shen:15:preface,
author = {Hetzer, Georg and Shen, Wenxian},
title = {Preface: special issue on dissipative systems and
applications with emphasis on nonlocal or nonlinear
diffusion problems},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {35},
year = {2015},
number = {4},
pages = {i--iii},
issn = {1078-0947,1553-5231},
mrclass = {35-06 (35R09 37-06 37Lxx)},
mrnumber = {3361549},
doi = {10.3934/dcds.2015.35.4i},
url = {https://doi.org/10.3934/dcds.2015.35.4i}
}
@Article{ heydenreich.hofstad.ea:08:mean-field,
author = {Heydenreich, Markus and van der Hofstad, Remco and Sakai,
Akira},
title = {Mean-field behavior for long- and finite range {I}sing
model, percolation and self-avoiding walk},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {132},
year = {2008},
number = {6},
pages = {1001--1049},
issn = {0022-4715},
mrclass = {60K35 (82B43)},
mrnumber = {2430773},
mrreviewer = {Antal A. J\'{a}rai},
doi = {10.1007/s10955-008-9580-5},
url = {https://doi.org/10.1007/s10955-008-9580-5}
}
@Book{ heydenreich.hofstad:17:progress,
author = {Heydenreich, Markus and van der Hofstad, Remco},
title = {Progress in high-dimensional percolation and random
graphs},
series = {CRM Short Courses},
publisher = {Springer, Cham; Centre de Recherches Math\'{e}matiques,
Montreal, QC},
year = {2017},
pages = {xii+285},
isbn = {978-3-319-62472-3; 978-3-319-62473-0},
mrclass = {60K35 (05C80 82B41 82B43)},
mrnumber = {3729454},
mrreviewer = {Christian M\"{o}nch}
}
@Article{ heydenreich:11:long-range,
author = {Heydenreich, Markus},
title = {Long-range self-avoiding walk converges to
{$\alpha$}-stable processes},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {47},
year = {2011},
number = {1},
pages = {20--42},
issn = {0246-0203},
mrclass = {60G50 (60F17 60G52)},
mrnumber = {2779395},
doi = {10.1214/09-AIHP350},
url = {https://doi.org/10.1214/09-AIHP350}
}
@Book{ hida.kuo.ea:93:white,
author = {Hida, Takeyuki and Kuo, Hui-Hsiung and Potthoff,
J\"{u}rgen and Streit, Ludwig},
title = {White noise},
series = {Mathematics and its Applications},
volume = {253},
note = {An infinite-dimensional calculus},
publisher = {Kluwer Academic Publishers Group, Dordrecht},
year = {1993},
pages = {xiv+516},
isbn = {0-7923-2233-9},
mrclass = {60G20 (46F25 46Gxx 47N30 60G15 60H05 60H07 81T08)},
mrnumber = {1244577},
mrreviewer = {Mylan Redfern},
doi = {10.1007/978-94-017-3680-0},
url = {https://doi.org/10.1007/978-94-017-3680-0}
}
@Book{ hilfer:00:applications,
title = {Applications of fractional calculus in physics},
author = {Hilfer, R.},
publisher = {World Scientific Publishing Co., Inc., River Edge, NJ},
year = {2000},
pages = {viii+463},
isbn = {981-02-3457-0},
mrclass = {00B15},
mrnumber = {1890104},
doi = {10.1142/9789812817747},
url = {https://doi.org/10.1142/9789812817747}
}
@InCollection{ hilfer:00:fractional,
author = {Hilfer, R.},
title = {Fractional time evolution},
booktitle = {Applications of fractional calculus in physics},
pages = {87--130},
publisher = {World Sci. Publ., River Edge, NJ},
year = {2000},
mrclass = {26A33 (33C60 47D07 82C05)},
mrnumber = {1890106},
mrreviewer = {S. L. Kalla},
doi = {10.1142/9789812817747\_0002},
url = {https://doi.org/10.1142/9789812817747_0002}
}
@Article{ hillen.othmer:00:diffusion,
author = {Hillen, Thomas and Othmer, Hans G.},
title = {The diffusion limit of transport equations derived from
velocity-jump processes},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {61},
year = {2000},
number = {3},
pages = {751--775},
issn = {0036-1399},
mrclass = {35Q80 (35K50 60J99 65C50)},
mrnumber = {1788017},
mrreviewer = {Qing Fang},
doi = {10.1137/S0036139999358167},
url = {https://doi.org/10.1137/S0036139999358167}
}
@Article{ hillen.painter.ea:07:global,
author = {Hillen, T. and Painter, K. and Schmeiser, C.},
title = {Global existence for chemotaxis with finite sampling
radius},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {7},
year = {2007},
number = {1},
pages = {125--144},
issn = {1531-3492},
mrclass = {92C17 (35K57)},
mrnumber = {2257455},
doi = {10.3934/dcdsb.2007.7.125},
url = {https://doi.org/10.3934/dcdsb.2007.7.125}
}
@Article{ hillen.painter:01:global,
author = {Hillen, T. and Painter, K.},
title = {Global existence for a parabolic chemotaxis model with
prevention of overcrowding},
journal = {Adv. in Appl. Math.},
fjournal = {Advances in Applied Mathematics},
volume = {26},
year = {2001},
number = {4},
pages = {280--301},
issn = {0196-8858},
mrclass = {92C17 (35A05 35K57 35Q80)},
mrnumber = {1826309},
doi = {10.1006/aama.2001.0721},
url = {https://doi.org/10.1006/aama.2001.0721}
}
@Article{ hillen.painter:09:users,
author = {Hillen, T. and Painter, K. J.},
title = {A user's guide to {PDE} models for chemotaxis},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {58},
year = {2009},
number = {1-2},
pages = {183--217},
issn = {0303-6812},
mrclass = {92C17 (35K57)},
mrnumber = {2448428},
doi = {10.1007/s00285-008-0201-3},
url = {https://doi.org/10.1007/s00285-008-0201-3}
}
@Article{ hillen.potapov:04:one-dimensional,
author = {Hillen, Thomas and Potapov, Alex},
title = {The one-dimensional chemotaxis model: global existence and
asymptotic profile},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {27},
year = {2004},
number = {15},
pages = {1783--1801},
issn = {0170-4214},
mrclass = {35K50 (35K55 92C17)},
mrnumber = {2087297},
doi = {10.1002/mma.569},
url = {https://doi.org/10.1002/mma.569}
}
@Article{ hillen:07:classification,
author = {Hillen, Thomas},
title = {A classification of spikes and plateaus},
journal = {SIAM Rev.},
fjournal = {SIAM Review},
volume = {49},
year = {2007},
number = {1},
pages = {35--51},
issn = {0036-1445},
mrclass = {35K57 (26B35 35B25 35Q53 92C15)},
mrnumber = {2302546},
doi = {10.1137/050632427},
url = {https://doi.org/10.1137/050632427}
}
@Article{ hinojosa-calleja.sanz-sole:21:anisotropic,
author = {Hinojosa-Calleja, Adri\'{a}n and Sanz-Sol\'{e}, Marta},
title = {Anisotropic {G}aussian random fields: criteria for hitting
probabilities and applications},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {9},
year = {2021},
number = {4},
pages = {984--1030},
issn = {2194-0401},
mrclass = {60G60 (60G15 60G17 60G22 60H07 60H15 60K35)},
mrnumber = {4333508},
doi = {10.1007/s40072-021-00190-1},
url = {https://doi.org/10.1007/s40072-021-00190-1}
}
@Book{ hirsch.smale.ea:04:differential,
author = {Hirsch, Morris W. and Smale, Stephen and Devaney, Robert
L.},
title = {Differential equations, dynamical systems, and an
introduction to chaos},
series = {Pure and Applied Mathematics (Amsterdam)},
volume = {60},
edition = {Second},
publisher = {Elsevier/Academic Press, Amsterdam},
year = {2004},
pages = {xiv+417},
isbn = {0-12-349703-5},
mrclass = {37-01 (34-01 34Cxx)},
mrnumber = {2144536},
mrreviewer = {Michael Hurley}
}
@Book{ hirsch.smale.ea:13:differential,
author = {Hirsch, Morris W. and Smale, Stephen and Devaney, Robert
L.},
title = {Differential equations, dynamical systems, and an
introduction to chaos},
edition = {Third},
publisher = {Elsevier/Academic Press, Amsterdam},
year = {2013},
pages = {xiv+418},
isbn = {978-0-12-382010-5},
mrclass = {37-01 (34-01 34Cxx)},
mrnumber = {3293130},
doi = {10.1016/B978-0-12-382010-5.00001-4},
url = {https://doi.org/10.1016/B978-0-12-382010-5.00001-4}
}
@Book{ hirsch.smale:74:differential,
author = {Hirsch, Morris W. and Smale, Stephen},
title = {Differential equations, dynamical systems, and linear
algebra},
series = {Pure and Applied Mathematics, Vol. 60},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
New York-London},
year = {1974},
pages = {xi+358},
mrclass = {34CXX (15-XX 58FXX 70.34)},
mrnumber = {486784},
mrreviewer = {Carl P. Simon}
}
@Article{ hirsch.song:95:symmetric,
author = {Hirsch, F. and Song, S.},
title = {Symmetric {S}korohod topology on {$n$}-variable functions
and hierarchical {M}arkov properties of {$n$}-parameter
processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {103},
year = {1995},
number = {1},
pages = {25--43},
issn = {0178-8051},
mrclass = {60J25 (31C15 60J30 60J40)},
mrnumber = {1347169},
mrreviewer = {Patrick Fitzsimmons},
doi = {10.1007/BF01199030},
url = {https://doi.org/10.1007/BF01199030}
}
@InProceedings{ hislop:00:exponential,
author = {Hislop, P. D.},
title = {Exponential decay of two-body eigenfunctions: a review},
booktitle = {Proceedings of the {S}ymposium on {M}athematical {P}hysics
and {Q}uantum {F}ield {T}heory ({B}erkeley, {CA}, 1999)},
series = {Electron. J. Differ. Equ. Conf.},
volume = {4},
pages = {265--288},
publisher = {Southwest Texas State Univ., San Marcos, TX},
year = {2000},
mrclass = {81U05 (81Q10)},
mrnumber = {1785381},
mrreviewer = {Hiroshi Isozaki}
}
@Article{ hitczenko.kwapien.ea:98:hypercontractivity,
author = {Hitczenko, Pawe\l and Kwapie\'{n}, Stanis\l aw and Li,
Wenbo V. and Schechtman, Gideon and Schlumprecht, Thomas
and Zinn, Joel},
title = {Hypercontractivity and comparison of moments of iterated
maxima and minima of independent random variables},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {3},
year = {1998},
pages = {No. 2, 26 pp.\},
issn = {1083-6489},
mrclass = {60B11 (52A21 60E07 60E15 60G15)},
mrnumber = {1491527},
doi = {10.1214/EJP.v3-24},
url = {https://doi.org/10.1214/EJP.v3-24}
}
@Article{ hitczenko:90:best,
author = {Hitczenko, Pawe\l },
title = {Best constants in martingale version of {R}osenthal's
inequality},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {18},
year = {1990},
number = {4},
pages = {1656--1668},
issn = {0091-1798},
mrclass = {60E15 (60G42)},
mrnumber = {1071816},
mrreviewer = {Deli Li},
url = {http://links.jstor.org/sici?sici=0091-1798(199010)18:4<1656:BCIMVO>2.0.CO;2-8&origin=MSN}
}
@Article{ hitczenko:94:on,
author = {Hitczenko, Pawe\l },
title = {On the behavior of the constant in a decoupling inequality
for martingales},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {121},
year = {1994},
number = {1},
pages = {253--258},
issn = {0002-9939},
mrclass = {60G42},
mrnumber = {1176481},
mrreviewer = {W. A. Woyczy\'{n}ski},
doi = {10.2307/2160390},
url = {https://doi.org/10.2307/2160390}
}
@Article{ hittmeir.jungel:11:cross,
author = {Hittmeir, Sabine and J\"{u}ngel, Ansgar},
title = {Cross diffusion preventing blow-up in the two-dimensional
{K}eller-{S}egel model},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {43},
year = {2011},
number = {2},
pages = {997--1022},
issn = {0036-1410},
mrclass = {35Q92 (35B40 35B44 35D30 35K51 35M33 92C17)},
mrnumber = {2801186},
mrreviewer = {Lubomira G. Softova},
doi = {10.1137/100813191},
url = {https://doi.org/10.1137/100813191}
}
@Article{ hochberg.orsingher:96:composition,
author = {Hochberg, Kenneth J. and Orsingher, Enzo},
title = {Composition of stochastic processes governed by
higher-order parabolic and hyperbolic equations},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {9},
year = {1996},
number = {2},
pages = {511--532},
issn = {0894-9840},
mrclass = {60J99 (35K25 35L25 60J35)},
mrnumber = {1385409},
mrreviewer = {Joerg-Uwe Loebus},
doi = {10.1007/BF02214661},
url = {https://doi.org/10.1007/BF02214661}
}
@Article{ hochberg:78:signed,
author = {Hochberg, Kenneth J.},
title = {A signed measure on path space related to {W}iener
measure},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {6},
year = {1978},
number = {3},
pages = {433--458},
issn = {0091-1798},
mrclass = {60J65 (28C20 35K99 60H05)},
mrnumber = {490812},
mrreviewer = {A. D. Wentzell (Ventcel{\cprime})},
url = {http://links.jstor.org/sici?sici=0091-1798(197806)6:3<433:ASMOPS>2.0.CO;2-N&origin=MSN}
}
@Article{ hocquet.hofmanova:18:energy,
author = {Hocquet, Antoine and Hofmanov\'{a}, Martina},
title = {An energy method for rough partial differential
equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {265},
year = {2018},
number = {4},
pages = {1407--1466},
issn = {0022-0396,1090-2732},
mrclass = {35K10 (35B35 35D30)},
mrnumber = {3797622},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2018.04.006},
url = {https://doi.org/10.1016/j.jde.2018.04.006}
}
@Article{ hoeffding:63:probability,
author = {Hoeffding, Wassily},
title = {Probability inequalities for sums of bounded random
variables},
journal = {J. Amer. Statist. Assoc.},
fjournal = {Journal of the American Statistical Association},
volume = {58},
year = {1963},
pages = {13--30},
issn = {0162-1459},
mrclass = {60.20},
mrnumber = {144363},
mrreviewer = {E. H. Lehman},
url = {http://links.jstor.org/sici?sici=0162-1459(196303)58:301<13:PIFSOB>2.0.CO;2-D&origin=MSN}
}
@Article{ hoessly.wiuf.ea:21:on,
title = {On the sum of chemical reactions},
author = {Linard Hoessly and Carsten Wiuf and Panqiu Xia},
year = {2021},
month = {May},
journal = {Preprint arXiv:2105.04353},
url = {http://arXiv.org/abs/2105.04353}
}
@Article{ hoessly.wiuf.ea:22:on,
title = {On the sum of chemical reactions},
doi = {10.1017/S0956792522000146},
journal = {Eur. J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
publisher = {Cambridge University Press},
author = {Hoessly, Linard and Wiuf, Carsten and Xia, Panqiu},
year = {2022},
pages = {1–-23}
}
@Article{ hoffman:05:coexistence,
author = {Hoffman, Christopher},
title = {Coexistence for {R}ichardson type competing spatial growth
models},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {15},
year = {2005},
number = {1B},
pages = {739--747},
issn = {1050-5164},
mrclass = {60K35 (82B43)},
mrnumber = {2114988},
mrreviewer = {Zhong Gen Su},
doi = {10.1214/105051604000000729},
url = {https://doi.org/10.1214/105051604000000729}
}
@Article{ hoffman:08:geodesics,
author = {Hoffman, Christopher},
title = {Geodesics in first passage percolation},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {18},
year = {2008},
number = {5},
pages = {1944--1969},
issn = {1050-5164},
mrclass = {60K35 (82B43)},
mrnumber = {2462555},
doi = {10.1214/07-AAP510},
url = {https://doi.org/10.1214/07-AAP510}
}
@Article{ hofmanova.seidler:12:on,
author = {Hofmanov\'{a}, Martina and Seidler, Jan},
title = {On weak solutions of stochastic differential equations},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {30},
year = {2012},
number = {1},
pages = {100--121},
issn = {0736-2994,1532-9356},
mrclass = {60H10},
mrnumber = {2870529},
mrreviewer = {Yong\ Liu},
doi = {10.1080/07362994.2012.628916},
url = {https://doi.org/10.1080/07362994.2012.628916}
}
@Article{ hofmanova.seidler:13:on,
author = {Hofmanov\'{a}, Martina and Seidler, Jan},
title = {On weak solutions of stochastic differential equations
{II}},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {31},
year = {2013},
number = {4},
pages = {663--670},
issn = {0736-2994,1532-9356},
mrclass = {60H10},
mrnumber = {3175790},
mrreviewer = {Yong\ Liu},
doi = {10.1080/07362994.2013.799025},
url = {https://doi.org/10.1080/07362994.2013.799025}
}
@Article{ hofmanova.zhang:17:quasilinear,
author = {Hofmanov\'{a}, Martina and Zhang, Tusheng},
title = {Quasilinear parabolic stochastic partial differential
equations: existence, uniqueness},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {10},
pages = {3354--3371},
issn = {0304-4149},
mrclass = {60H15 (35A01 35A02 35K15 35K59 35R60)},
mrnumber = {3692318},
mrreviewer = {Guangying Lv},
doi = {10.1016/j.spa.2017.01.010},
url = {https://doi.org/10.1016/j.spa.2017.01.010}
}
@Article{ hofmanova.zhu.ea:23:global-in-time,
author = {Hofmanov\'{a}, Martina and Zhu, Rongchan and Zhu,
Xiangchan},
title = {Global-in-time probabilistically strong and {M}arkov
solutions to stochastic 3{D} {N}avier-{S}tokes equations:
existence and nonuniqueness},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {51},
year = {2023},
number = {2},
pages = {524--579},
issn = {0091-1798},
mrclass = {60H15 (35Q30)},
mrnumber = {4546626},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1214/22-aop1607},
url = {https://doi.org/10.1214/22-aop1607}
}
@Article{ hofstad.hollander.ea:97:central,
author = {van der Hofstad, R. and den Hollander, F. and K\"{o}nig,
W.},
title = {Central limit theorem for the {E}dwards model},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {25},
year = {1997},
number = {2},
pages = {573--597},
issn = {0091-1798},
mrclass = {60F05 (60J55 60J65)},
mrnumber = {1434119},
mrreviewer = {Philippe Biane},
doi = {10.1214/aop/1024404412},
url = {https://doi.org/10.1214/aop/1024404412}
}
@Article{ hofstad.konig.ea:06:universality,
author = {van der Hofstad, Remco and K\"{o}nig, Wolfgang and
M\"{o}rters, Peter},
title = {The universality classes in the parabolic {A}nderson
model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {267},
year = {2006},
number = {2},
pages = {307--353},
issn = {0010-3616},
mrclass = {82B44 (47B80 47N55 81Q10)},
mrnumber = {2249772},
mrreviewer = {David Damanik},
doi = {10.1007/s00220-006-0075-4},
url = {https://doi.org/10.1007/s00220-006-0075-4}
}
@Article{ hofstad.konig:01:survey,
author = {van der Hofstad, Remco and K\"{o}nig, Wolfgang},
title = {A survey of one-dimensional random polymers},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {103},
year = {2001},
number = {5-6},
pages = {915--944},
issn = {0022-4715},
mrclass = {82B44 (82D60)},
mrnumber = {1851362},
doi = {10.1023/A:1010309005541},
url = {https://doi.org/10.1023/A:1010309005541}
}
@Article{ hofstad.morters.ea:08:weak,
author = {van der Hofstad, Remco and M\"{o}rters, Peter and
Sidorova, Nadia},
title = {Weak and almost sure limits for the parabolic {A}nderson
model with heavy tailed potentials},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {18},
year = {2008},
number = {6},
pages = {2450--2494},
issn = {1050-5164},
mrclass = {60H25 (60F05 60F15 60G70 82C44)},
mrnumber = {2474543},
doi = {10.1214/08-AAP526},
url = {https://doi.org/10.1214/08-AAP526}
}
@Article{ holden.hu:96:finite,
author = {Holden, Helge and Hu, Yaozhong},
title = {Finite difference approximation of the pressure equation
for fluid flow in a stochastic medium---a probabilistic
approach},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {21},
year = {1996},
number = {9-10},
pages = {1367--1388},
issn = {0360-5302},
mrclass = {65U05 (35R60 60H15 65N06 76M20 76M35)},
mrnumber = {1410834},
mrreviewer = {Krystyna Twardowska},
doi = {10.1080/03605309608821231},
url = {https://doi.org/10.1080/03605309608821231}
}
@Book{ holden.oksendal.ea:10:stochastic,
author = {Holden, Helge and {\O}ksendal, Bernt and Ub\o e, Jan and
Zhang, Tusheng},
title = {Stochastic partial differential equations},
series = {Universitext},
edition = {Second},
note = {A modeling, white noise functional approach},
publisher = {Springer, New York},
year = {2010},
pages = {xvi+305},
isbn = {978-0-387-89487-4},
mrclass = {60H15 (60H10 60H40)},
mrnumber = {2571742},
doi = {10.1007/978-0-387-89488-1},
url = {https://doi.org/10.1007/978-0-387-89488-1}
}
@Book{ holden.oksendal.ea:96:stochastic,
author = {Holden, Helge and {\O}ksendal, Bernt and Ub\o e, Jan and
Zhang, Tusheng},
title = {Stochastic partial differential equations},
series = {Probability and its Applications},
note = {A modeling, white noise functional approach},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {1996},
pages = {x+231},
isbn = {0-8176-3928-4},
mrclass = {60H15 (35R60 46N30 60G20 60H10)},
mrnumber = {1408433},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1007/978-1-4684-9215-6},
url = {https://doi.org/10.1007/978-1-4684-9215-6}
}
@Article{ holder:33:uber,
author = {H\"{o}lder, Ernst},
title = {\"{U}ber die unbeschr\"{a}nkte {F}ortsetzbarkeit einer
stetigen ebenen {B}ewegung in einer unbegrenzten
inkompressiblen {F}l\"{u}ssigkeit},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {37},
year = {1933},
number = {1},
pages = {727--738},
issn = {0025-5874},
mrclass = {DML},
mrnumber = {1545431},
doi = {10.1007/BF01474611},
url = {https://doi.org/10.1007/BF01474611}
}
@InCollection{ hollander.konig.ea:21:parabolic,
author = {den Hollander, Frank and K\"{o}nig, Wolfgang and dos
Santos, Renato S.},
title = {The parabolic {A}nderson model on a {G}alton-{W}atson
tree},
booktitle = {In and out of equilibrium 3. {C}elebrating {V}ladas
{S}idoravicius},
series = {Progr. Probab.},
volume = {77},
pages = {591--635},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {[2021] \copyright 2021},
mrclass = {60H25 (05C80 82B44)},
mrnumber = {4237285},
doi = {10.1007/978-3-030-60754-8\_25},
url = {https://doi.org/10.1007/978-3-030-60754-8_25}
}
@Book{ hollander.molchanov.ea:12:random,
author = {den Hollander, Frank and Molchanov, Stanislav A. and
Zeitouni, Ofer},
title = {Random media at {S}aint-{F}lour},
series = {Probability at Saint-Flour},
note = {Reprints of lectures from the Annual Saint-Flour
Probability Summer School held in Saint-Flour},
publisher = {Springer, Heidelberg},
year = {2012},
pages = {vi+564},
isbn = {978-3-642-32948-7},
mrclass = {60-06 (60K35 60K37)},
mrnumber = {3059554}
}
@Book{ hollander:09:random,
author = {den Hollander, Frank},
title = {Random polymers},
series = {Lecture Notes in Mathematics},
volume = {1974},
note = {Lectures from the 37th Probability Summer School held in
Saint-Flour, 2007},
publisher = {Springer-Verlag, Berlin},
year = {2009},
pages = {xiv+258},
isbn = {978-3-642-00332-5},
mrclass = {60K35 (60-02 60F10 60F17 60G50 60K37 82B26 82B41)},
mrnumber = {2504175},
mrreviewer = {Rongfeng Sun},
doi = {10.1007/978-3-642-00333-2},
url = {https://doi.org/10.1007/978-3-642-00333-2}
}
@InCollection{ hollander:12:laudatio,
author = {den Hollander, Frank},
title = {Laudatio: the mathematical work of {J}\"{u}rgen
{G}\"{a}rtner},
booktitle = {Probability in complex physical systems},
series = {Springer Proc. Math.},
volume = {11},
pages = {1--10},
publisher = {Springer, Heidelberg},
year = {2012},
mrclass = {60-03 (01A70)},
mrnumber = {3372842},
doi = {10.1007/978-3-642-23811-6\_1},
url = {https://doi.org/10.1007/978-3-642-23811-6_1}
}
@Article{ hollis.morgan:94:on,
author = {Hollis, S. L. and Morgan, J. J.},
title = {On the blow-up of solutions to some semilinear and
quasilinear reaction-diffusion systems},
journal = {Rocky Mountain J. Math.},
fjournal = {The Rocky Mountain Journal of Mathematics},
volume = {24},
year = {1994},
number = {4},
pages = {1447--1465},
issn = {0035-7596},
mrclass = {35K57 (35B40 80A30)},
mrnumber = {1322238},
mrreviewer = {Jes\'{u}s Hern\'{a}ndez},
doi = {10.1216/rmjm/1181072348},
url = {https://doi.org/10.1216/rmjm/1181072348}
}
@Article{ holm.putkaradze:06:formation,
author = {Holm, Darryl D. and Putkaradze, Vakhtang},
title = {Formation of clumps and patches in self-aggregation of
finite-size particles},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {220},
year = {2006},
number = {2},
pages = {183--196},
issn = {0167-2789},
mrclass = {82C21},
mrnumber = {2256869},
doi = {10.1016/j.physd.2006.07.010},
url = {https://doi.org/10.1016/j.physd.2006.07.010}
}
@Article{ holmes.lumley.ea:97:low-dimensional,
author = {Holmes, Philip J. and Lumley, John L. and Berkooz, Gal and
Mattingly, Jonathan C. and Wittenberg, Ralf W.},
title = {Low-dimensional models of coherent structures in
turbulence},
journal = {Phys. Rep.},
fjournal = {Physics Reports. A Review Section of Physics Letters},
volume = {287},
year = {1997},
number = {4},
pages = {337--384},
issn = {0370-1573,1873-6270},
mrclass = {76F20 (58F39 76M35)},
mrnumber = {1471174},
mrreviewer = {P.\ L.\ Sulem},
doi = {10.1016/S0370-1573(97)00017-3},
url = {https://doi.org/10.1016/S0370-1573(97)00017-3}
}
@Article{ holroyd.peres:05:extra,
author = {Holroyd, Alexander E. and Peres, Yuval},
title = {Extra heads and invariant allocations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {1},
pages = {31--52},
issn = {0091-1798},
mrclass = {60G55},
mrnumber = {2118858},
mrreviewer = {Wolfgang Freudenberg},
doi = {10.1214/009117904000000603},
url = {https://doi.org/10.1214/009117904000000603}
}
@Article{ holroyd.soo:13:insertion,
author = {Holroyd, Alexander E. and Soo, Terry},
title = {Insertion and deletion tolerance of point processes},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {18},
year = {2013},
pages = {no. 74, 24},
mrclass = {60G55 (05C70 60K35)},
mrnumber = {3091720},
mrreviewer = {Jonathan Henry Jordan},
doi = {10.1214/EJP.v18-2621},
url = {https://doi.org/10.1214/EJP.v18-2621}
}
@Article{ hong.mytnik.ea:20:on,
author = {Hong, Jieliang and Mytnik, Leonid and Perkins, Edwin},
title = {On the topological boundary of the range of
super-{B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {3},
pages = {1168--1201},
issn = {0091-1798},
mrclass = {60G57 (35J75 35K59 60H30 60J68 60J80)},
mrnumber = {4112711},
mrreviewer = {Huili Liu},
doi = {10.1214/19-AOP1386},
url = {https://doi.org/10.1214/19-AOP1386}
}
@Article{ hong.tian.ea:20:attraction-repulsion,
author = {Hong, Liang and Tian, Miaoqing and Zheng, Sining},
title = {An attraction-repulsion chemotaxis system with nonlinear
productions},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {484},
year = {2020},
number = {1},
pages = {123703, 8},
issn = {0022-247X},
mrclass = {35Q92 (35M33 92C17)},
mrnumber = {4042624},
doi = {10.1016/j.jmaa.2019.123703},
url = {https://doi.org/10.1016/j.jmaa.2019.123703}
}
@Article{ hong.zeitouni:07:quenched,
author = {Hong, Wenming and Zeitouni, Ofer},
title = {A quenched {CLT} for super-{B}rownian motion with random
immigration},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {20},
year = {2007},
number = {4},
pages = {807--820},
issn = {0894-9840,1572-9230},
mrclass = {60J80 (60F05)},
mrnumber = {2359056},
mrreviewer = {Jochen\ Blath},
doi = {10.1007/s10959-007-0079-9},
url = {https://doi.org/10.1007/s10959-007-0079-9}
}
@Article{ hong:18:renormalization,
author = {Hong, Jieliang},
title = {Renormalization of local times of super-{B}rownian
motion},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {23},
year = {2018},
pages = {Paper No. 109, 45},
mrclass = {60J55 (35R60 60J68)},
mrnumber = {3878134},
doi = {10.1214/18-ejp231},
url = {https://doi.org/10.1214/18-ejp231}
}
@Article{ hong:19:improved,
author = {Hong, Jieliang},
title = {Improved {H}\"{o}lder continuity near the boundary of
one-dimensional super-{B}rownian motion},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {24},
year = {2019},
pages = {Paper No. 28, 12},
mrclass = {60J55 (26A16 60J68)},
mrnumber = {3962478},
mrreviewer = {Kenji Handa},
doi = {10.1214/19-ECP237},
url = {https://doi.org/10.1214/19-ECP237}
}
@Article{ hongler.smirnov:11:critical,
author = {Hongler, Cl\'{e}ment and Smirnov, Stanislav},
title = {Critical percolation: the expected number of clusters in a
rectangle},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {151},
year = {2011},
number = {3-4},
pages = {735--756},
issn = {0178-8051,1432-2064},
mrclass = {60K35 (30C35 30D40 60J67 82B20)},
mrnumber = {2851698},
mrreviewer = {Dmitry\ Beliaev},
doi = {10.1007/s00440-010-0313-8},
url = {https://doi.org/10.1007/s00440-010-0313-8}
}
@Article{ hongler.smirnov:13:energy,
author = {Hongler, Cl\'{e}ment and Smirnov, Stanislav},
title = {The energy density in the planar {I}sing model},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {211},
year = {2013},
number = {2},
pages = {191--225},
issn = {0001-5962,1871-2509},
mrclass = {82B20},
mrnumber = {3143889},
mrreviewer = {Xifeng\ Su},
doi = {10.1007/s11511-013-0102-1},
url = {https://doi.org/10.1007/s11511-013-0102-1}
}
@Article{ hopf:50:partial,
author = {Hopf, Eberhard},
title = {The partial differential equation {$u_t+uu_x=\mu u_{xx}$}},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {3},
year = {1950},
pages = {201--230},
issn = {0010-3640},
mrclass = {36.0X},
mrnumber = {47234},
mrreviewer = {C. C. Lin},
doi = {10.1002/cpa.3160030302},
url = {https://doi.org/10.1002/cpa.3160030302}
}
@Article{ hormander:67:hypoelliptic,
author = {H\"{o}rmander, Lars},
title = {Hypoelliptic second order differential equations},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {119},
year = {1967},
pages = {147--171},
issn = {0001-5962},
mrclass = {35.48 (47.00)},
mrnumber = {222474},
mrreviewer = {Joel Smoller},
doi = {10.1007/BF02392081},
url = {https://doi.org/10.1007/BF02392081}
}
@Article{ horridge.tribe:04:on,
author = {Horridge, Paul and Tribe, Roger},
title = {On stationary distributions for the {KPP} equation with
branching noise},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {40},
year = {2004},
number = {6},
pages = {759--770},
issn = {0246-0203},
mrclass = {60H15 (60K35 82B43)},
mrnumber = {2096217},
mrreviewer = {Bohdan Maslowski},
doi = {10.1016/j.anihpb.2004.01.005},
url = {https://doi.org/10.1016/j.anihpb.2004.01.005}
}
@Article{ horstmann.meinlschmidt.ea:18:full,
author = {Horstmann, D. and Meinlschmidt, H. and Rehberg, J.},
title = {The full {K}eller-{S}egel model is well-posed on nonsmooth
domains},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {31},
year = {2018},
number = {4},
pages = {1560--1592},
issn = {0951-7715},
mrclass = {35K51 (35B30 35K57 92C17)},
mrnumber = {3816646},
mrreviewer = {Zurab Kiguradze},
doi = {10.1088/1361-6544/aaa2e1},
url = {https://doi.org/10.1088/1361-6544/aaa2e1}
}
@Article{ horstmann.stevens:04:constructive,
author = {Horstmann, D. and Stevens, A.},
title = {A constructive approach to traveling waves in chemotaxis},
journal = {J. Nonlinear Sci.},
fjournal = {Journal of Nonlinear Science},
volume = {14},
year = {2004},
number = {1},
pages = {1--25},
issn = {0938-8974},
mrclass = {35K57 (35B40 35K50 92C17)},
mrnumber = {2032519},
mrreviewer = {Mo Xun Tang},
doi = {10.1007/s00332-003-0548-y},
url = {https://doi.org/10.1007/s00332-003-0548-y}
}
@Article{ horstmann.wang:01:blow-up,
author = {Horstmann, Dirk and Wang, Guofang},
title = {Blow-up in a chemotaxis model without symmetry
assumptions},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {12},
year = {2001},
number = {2},
pages = {159--177},
issn = {0956-7925},
mrclass = {35K57 (35B40 35B50 35D05 92C17)},
mrnumber = {1931303},
mrreviewer = {Lubomira G. Softova},
doi = {10.1017/S0956792501004363},
url = {https://doi.org/10.1017/S0956792501004363}
}
@Article{ horstmann.winkler:05:boundedness,
author = {Horstmann, Dirk and Winkler, Michael},
title = {Boundedness vs. blow-up in a chemotaxis system},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {215},
year = {2005},
number = {1},
pages = {52--107},
issn = {0022-0396},
mrclass = {35K57 (35B40 35K50 92C17)},
mrnumber = {2146345},
mrreviewer = {Narcisa C. Apreutesei},
doi = {10.1016/j.jde.2004.10.022},
url = {https://doi.org/10.1016/j.jde.2004.10.022}
}
@Article{ horstmann:01:lyapunov,
author = {Horstmann, Dirk},
title = {Lyapunov functions and {$L^p$}-estimates for a class of
reaction-diffusion systems},
journal = {Colloq. Math.},
fjournal = {Colloquium Mathematicum},
volume = {87},
year = {2001},
number = {1},
pages = {113--127},
issn = {0010-1354},
mrclass = {35K57 (35A07 35B40 35K40 35K50)},
mrnumber = {1812147},
mrreviewer = {Hiroki Hoshino},
doi = {10.4064/cm87-1-7},
url = {https://doi.org/10.4064/cm87-1-7}
}
@Article{ horstmann:01:nonsymmetric,
author = {Horstmann, Dirk},
title = {The nonsymmetric case of the {K}eller-{S}egel model in
chemotaxis: some recent results},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {8},
year = {2001},
number = {4},
pages = {399--423},
issn = {1021-9722},
mrclass = {35K57 (35B40 35K60 35Q80 92C17)},
mrnumber = {1867320},
mrreviewer = {Dian K. Palagachev},
doi = {10.1007/PL00001455},
url = {https://doi.org/10.1007/PL00001455}
}
@Article{ horstmann:02:on,
author = {Horstmann, Dirk},
title = {On the existence of radially symmetric blow-up solutions
for the {K}eller-{S}egel model},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {44},
year = {2002},
number = {5},
pages = {463--478},
issn = {0303-6812,1432-1416},
mrclass = {35K57 (35B40 35K50 92C37 92D25)},
mrnumber = {1908133},
mrreviewer = {Song\ Mu\ Zheng},
doi = {10.1007/s002850100134},
url = {https://doi.org/10.1007/s002850100134}
}
@Article{ horstmann:03:from,
author = {Horstmann, Dirk},
title = {From 1970 until present: the {K}eller-{S}egel model in
chemotaxis and its consequences. {I}},
journal = {Jahresber. Deutsch. Math.-Verein.},
fjournal = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
volume = {105},
year = {2003},
number = {3},
pages = {103--165},
issn = {0012-0456},
mrclass = {35K57 (35B30 35J20 35J60 92C17)},
mrnumber = {2013508}
}
@Article{ horstmann:04:from,
author = {Horstmann, Dirk},
title = {From 1970 until present: the {K}eller-{S}egel model in
chemotaxis and its consequences. {II}},
journal = {Jahresber. Deutsch. Math.-Verein.},
fjournal = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
volume = {106},
year = {2004},
number = {2},
pages = {51--69},
issn = {0012-0456},
mrclass = {92C17},
mrnumber = {2073515}
}
@Article{ horstmann:11:generalizing,
author = {Horstmann, Dirk},
title = {Generalizing the {K}eller-{S}egel model: {L}yapunov
functionals, steady state analysis, and blow-up results for
multi-species chemotaxis models in the presence of
attraction and repulsion between competitive interacting
species},
journal = {J. Nonlinear Sci.},
fjournal = {Journal of Nonlinear Science},
volume = {21},
year = {2011},
number = {2},
pages = {231--270},
issn = {0938-8974,1432-1467},
mrclass = {35K51 (35B41 92C17)},
mrnumber = {2788856},
doi = {10.1007/s00332-010-9082-x},
url = {https://doi.org/10.1007/s00332-010-9082-x}
}
@Article{ horvath.khoshnevisan:95:weight,
author = {Horv\'{a}th, Lajos and Khoshnevisan, Davar},
title = {Weight functions and pathwise local central limit
theorems},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {59},
year = {1995},
number = {1},
pages = {105--123},
issn = {0304-4149},
mrclass = {60J15 (60H10 60J60)},
mrnumber = {1350258},
mrreviewer = {J. L. Mijnheer},
doi = {10.1016/0304-4149(95)00021-X},
url = {https://doi.org/10.1016/0304-4149(95)00021-X}
}
@Article{ horvath.khoshnevisan:96:strong,
author = {Horv\'{a}th, L. and Khoshnevisan, D.},
title = {A strong approximation for logarithmic averages},
journal = {Studia Sci. Math. Hungar.},
fjournal = {Studia Scientiarum Mathematicarum Hungarica.
Combinatorics, Geometry and Topology (CoGeTo)},
volume = {31},
year = {1996},
number = {1-3},
pages = {187--196},
issn = {0081-6906},
mrclass = {60F15 (60F17 60J15)},
mrnumber = {1367705},
mrreviewer = {Endre Cs\'{a}ki}
}
@Article{ hotz.huckemann.ea:13:sticky,
author = {Hotz, Thomas and Huckemann, Stephan and Le, Huiling and
Marron, J. S. and Mattingly, Jonathan C. and Miller, Ezra
and Nolen, James and Owen, Megan and Patrangenaru, Vic and
Skwerer, Sean},
title = {Sticky central limit theorems on open books},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {23},
year = {2013},
number = {6},
pages = {2238--2258},
issn = {1050-5164,2168-8737},
mrclass = {60B05 (60B99 60F05)},
mrnumber = {3127934},
mrreviewer = {Rabi\ Bhattacharya},
doi = {10.1214/12-AAP899},
url = {https://doi.org/10.1214/12-AAP899}
}
@Article{ houdre.islak:23:central,
author = {Houdr\'{e}, Christian and I\c{s}lak, \"{U}mit},
title = {A central limit theorem for the length of the longest
common subsequences in random words},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {28},
year = {2023},
pages = {Paper No. 3, 24},
mrclass = {60C05 (05A05 60F05 60F10)},
mrnumber = {4529088},
mrreviewer = {Michael Voit},
doi = {10.1214/22-ejp894},
url = {https://doi.org/10.1214/22-ejp894}
}
@InCollection{ houdre.villa:03:example,
author = {Houdr\'{e}, Christian and Villa, Jos\'{e}},
title = {An example of infinite dimensional quasi-helix},
booktitle = {Stochastic models ({M}exico {C}ity, 2002)},
series = {Contemp. Math.},
volume = {336},
pages = {195--201},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2003},
mrclass = {60G15 (60G12 60G18)},
mrnumber = {2037165},
mrreviewer = {Yimin Xiao},
doi = {10.1090/conm/336/06034},
url = {https://doi.org/10.1090/conm/336/06034}
}
@Article{ hough.krishnapur.ea:06:determinantal,
author = {Hough, J. Ben and Krishnapur, Manjunath and Peres, Yuval
and Vir\'{a}g, B\'{a}lint},
title = {Determinantal processes and independence},
journal = {Probab. Surv.},
fjournal = {Probability Surveys},
volume = {3},
year = {2006},
pages = {206--229},
mrclass = {60G55 (60F05 82B31)},
mrnumber = {2216966},
mrreviewer = {Lutz Peter Klotz},
doi = {10.1214/154957806000000078},
url = {https://doi.org/10.1214/154957806000000078}
}
@Book{ hough.krishnapur.ea:09:zeros,
author = {Hough, J. Ben and Krishnapur, Manjunath and Peres, Yuval
and Vir\'{a}g, B\'{a}lint},
title = {Zeros of {G}aussian analytic functions and determinantal
point processes},
series = {University Lecture Series},
volume = {51},
publisher = {American Mathematical Society, Providence, RI},
year = {2009},
pages = {x+154},
isbn = {978-0-8218-4373-4},
mrclass = {60G55 (30B20 30C15 60B20 60F10 60G15 65H04 82B31)},
mrnumber = {2552864},
mrreviewer = {Dmitry Beliaev},
doi = {10.1090/ulect/051},
url = {https://doi.org/10.1090/ulect/051}
}
@Article{ howison.lacey.ea:88:hele-shaw,
author = {Howison, S. D. and Lacey, A. A. and Ockendon, J. R.},
title = {Hele-{S}haw free-boundary problems with suction},
journal = {Quart. J. Mech. Appl. Math.},
fjournal = {The Quarterly Journal of Mechanics and Applied
Mathematics},
volume = {41},
year = {1988},
number = {2},
pages = {183--193},
issn = {0033-5614},
mrclass = {76E99},
mrnumber = {957040},
doi = {10.1093/qjmam/41.2.183},
url = {https://doi.org/10.1093/qjmam/41.2.183}
}
@Article{ howison.ockendon.ea:85:singularity,
author = {Howison, S. D. and Ockendon, J. R. and Lacey, A. A.},
title = {Singularity development in moving-boundary problems},
journal = {Quart. J. Mech. Appl. Math.},
fjournal = {The Quarterly Journal of Mechanics and Applied
Mathematics},
volume = {38},
year = {1985},
number = {3},
pages = {343--360},
issn = {0033-5614},
mrclass = {80A20 (35R35)},
mrnumber = {800769},
mrreviewer = {Jes\'{u}s Hern\'{a}ndez},
doi = {10.1093/qjmam/38.3.343},
url = {https://doi.org/10.1093/qjmam/38.3.343}
}
@InCollection{ howison.richardson:95:cusp,
author = {Howison, S. D. and Richardson, S.},
title = {Cusp development in free boundaries, and two-dimensional
slow viscous flows},
note = {Complex analysis and free boundary problems (St.
Petersburg, 1994)},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {6},
year = {1995},
number = {5},
pages = {441--454},
issn = {0956-7925},
mrclass = {76D07 (35Q30 35R35 76D45 76M99)},
mrnumber = {1363757},
doi = {10.1017/S0956792500001972},
url = {https://doi.org/10.1017/S0956792500001972}
}
@Article{ howison:92:complex,
author = {Howison, S. D.},
title = {Complex variable methods in {H}ele-{S}haw moving boundary
problems},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {3},
year = {1992},
number = {3},
pages = {209--224},
issn = {0956-7925},
mrclass = {76D99 (76E30 76S05)},
mrnumber = {1182213},
mrreviewer = {Peter A. McCoy},
doi = {10.1017/S0956792500000802},
url = {https://doi.org/10.1017/S0956792500000802}
}
@Article{ hsu.labbe:23:asymptotic,
author = {Hsu, Yueh-Sheng and Labb\'{e}, Cyril},
title = {Asymptotic of the smallest eigenvalues of the continuous
{A}nderson {H}amiltonian in {$d\le 3$}},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {11},
year = {2023},
number = {3},
pages = {1089--1122},
issn = {2194-0401},
mrclass = {35J10 (35P15 47A10 60H15)},
mrnumber = {4624134},
mrreviewer = {Rupert L. Frank},
doi = {10.1007/s40072-022-00252-y},
url = {https://doi.org/10.1007/s40072-022-00252-y}
}
@Article{ hsu.lin.ea:99:traveling,
author = {Hsu, Cheng-Hsiung and Lin, Song-Sun and Shen, Wenxian},
title = {Traveling waves in cellular neural networks},
journal = {Internat. J. Bifur. Chaos Appl. Sci. Engrg.},
fjournal = {International Journal of Bifurcation and Chaos in Applied
Sciences and Engineering},
volume = {9},
year = {1999},
number = {7},
pages = {1307--1319},
issn = {0218-1274,1793-6551},
mrclass = {82C32 (34K10 37C99 37N25 92B20)},
mrnumber = {1729676},
mrreviewer = {P.\ W.\ Bates},
doi = {10.1142/S0218127499000912},
url = {https://doi.org/10.1142/S0218127499000912}
}
@Article{ hsu.ouyang:09:quasi-invariance,
author = {Hsu, Elton P. and Ouyang, Cheng},
title = {Quasi-invariance of the {W}iener measure on the path space
over a complete {R}iemannian manifold},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {257},
year = {2009},
number = {5},
pages = {1379--1395},
issn = {0022-1236},
mrclass = {58J65 (60J65)},
mrnumber = {2541273},
mrreviewer = {Maria Gordina},
doi = {10.1016/j.jfa.2009.05.017},
url = {https://doi.org/10.1016/j.jfa.2009.05.017}
}
@Article{ hu.hu:15:fractional,
author = {Hu, Guannan and Hu, Yaozhong},
title = {Fractional Diffusion in Gaussian Noisy Environment},
journal = {Mathematics},
volume = {3},
year = {2015},
number = {2},
pages = {131--152},
url = {https://www.mdpi.com/2227-7390/3/2/131},
issn = {2227-7390}
}
@Article{ hu.huang.ea:14:on,
author = {Hu, Yaozhong and Huang, Jingyu and Nualart, David},
title = {On {H}\"{o}lder continuity of the solution of stochastic
wave equations in dimension three},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {2},
year = {2014},
number = {3},
pages = {353--407},
issn = {2194-0401},
mrclass = {60H15 (35B65 35L15 35L71 35R60 60G17)},
mrnumber = {3255232},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1007/s40072-014-0035-5},
url = {https://doi.org/10.1007/s40072-014-0035-5}
}
@Article{ hu.huang.ea:15:smoothness,
author = {Hu, Yaozhong and Huang, Jingyu and Nualart, David and Sun,
Xiaobin},
title = {Smoothness of the joint density for spatially homogeneous
{SPDE}s},
journal = {J. Math. Soc. Japan},
fjournal = {Journal of the Mathematical Society of Japan},
volume = {67},
year = {2015},
number = {4},
pages = {1605--1630},
issn = {0025-5645},
mrclass = {60H15 (60H07)},
mrnumber = {3417506},
mrreviewer = {Roger Pettersson},
doi = {10.2969/jmsj/06741605},
url = {https://doi.org/10.2969/jmsj/06741605}
}
@Article{ hu.huang.ea:15:stochastic,
author = {Hu, Yaozhong and Huang, Jingyu and Nualart, David and
Tindel, Samy},
title = {Stochastic heat equations with general multiplicative
{G}aussian noises: {H}\"{o}lder continuity and
intermittency},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {20},
year = {2015},
pages = {no. 55, 50},
mrclass = {60H15 (60G15 60H07)},
mrnumber = {3354615},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1214/EJP.v20-3316},
url = {https://doi.org/10.1214/EJP.v20-3316}
}
@Article{ hu.huang.ea:16:on,
author = {Hu, Yaozhong and Huang, Jingyu and Nualart, David},
title = {On the intermittency front of stochastic heat equation
driven by colored noises},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {21},
year = {2016},
pages = {Paper No. 21, 13},
mrclass = {60H15 (60H07)},
mrnumber = {3485390},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/16-ECP4364},
url = {https://doi.org/10.1214/16-ECP4364}
}
@Article{ hu.huang.ea:17:stochastic,
author = {Hu, Yaozhong and Huang, Jingyu and L\^{e}, Khoa and
Nualart, David and Tindel, Samy},
title = {Stochastic heat equation with rough dependence in space},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {6B},
pages = {4561--4616},
issn = {0091-1798},
mrclass = {60H15 (60G15 60G22)},
mrnumber = {3737918},
mrreviewer = {Robert C. Dalang},
doi = {10.1214/16-AOP1172},
url = {https://doi.org/10.1214/16-AOP1172}
}
@InCollection{ hu.huang.ea:18:parabolic,
author = {Hu, Yaozhong and Huang, Jingyu and L\^{e}, Khoa and
Nualart, David and Tindel, Samy},
title = {Parabolic {A}nderson model with rough dependence in
space},
booktitle = {Computation and combinatorics in dynamics, stochastics and
control},
series = {Abel Symp.},
volume = {13},
pages = {477--498},
publisher = {Springer, Cham},
year = {2018},
mrclass = {60H25 (35R60 60G22)},
mrnumber = {3967394}
}
@Article{ hu.jolis.ea:13:on,
author = {Hu, Yaozhong and Jolis, Maria and Tindel, Samy},
title = {On {S}tratonovich and {S}korohod stochastic calculus for
{G}aussian processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {3A},
pages = {1656--1693},
issn = {0091-1798},
mrclass = {60H05 (60G15 60G17 60G22 60H07 60H10 60H35)},
mrnumber = {3098687},
mrreviewer = {Guangjun Shen},
doi = {10.1214/12-AOP751},
url = {https://doi.org/10.1214/12-AOP751}
}
@Article{ hu.kallianpur.ea:02:approximation,
author = {Hu, Y. and Kallianpur, G. and Xiong, J.},
title = {An approximation for the {Z}akai equation},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {45},
year = {2002},
number = {1},
pages = {23--44},
issn = {0095-4616},
mrclass = {60G35 (60F25 60H10 93E11)},
mrnumber = {1861464},
mrreviewer = {Marco Ferrante},
doi = {10.1007/s00245-001-0024-8},
url = {https://doi.org/10.1007/s00245-001-0024-8}
}
@Article{ hu.kallianpur:00:schrodinger,
author = {Hu, Y. and Kallianpur, G.},
title = {Schr\"{o}dinger equations with fractional {L}aplacians},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {42},
year = {2000},
number = {3},
pages = {281--290},
issn = {0095-4616},
mrclass = {60H05 (60H10 91A28)},
mrnumber = {1795612},
mrreviewer = {Michael Kohlmann},
doi = {10.1007/s002450010014},
url = {https://doi.org/10.1007/s002450010014}
}
@Article{ hu.kallianpur:98:exponential,
author = {Hu, Y. and Kallianpur, G.},
title = {Exponential integrability and application to stochastic
quantization},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {37},
year = {1998},
number = {3},
pages = {295--353},
issn = {0095-4616},
mrclass = {60H10 (60G15 81S20)},
mrnumber = {1610803},
mrreviewer = {Tu Sheng Zhang},
doi = {10.1007/s002459900078},
url = {https://doi.org/10.1007/s002459900078}
}
@Article{ hu.khoshnevisan.ea:11:charged,
author = {Hu, Yueyun and Khoshnevisan, Davar and Wouts, Marc},
title = {Charged polymers in the attractive regime: a first-order
transition from {B}rownian scaling to four-point
localization},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {144},
year = {2011},
number = {5},
pages = {948--977},
issn = {0022-4715},
mrclass = {60K37 (60K35 82B41 82B44)},
mrnumber = {2836614},
mrreviewer = {Giambattista Giacomin},
doi = {10.1007/s10955-011-0280-1},
url = {https://doi.org/10.1007/s10955-011-0280-1}
}
@Article{ hu.khoshnevisan:10:strong,
author = {Hu, Yueyun and Khoshnevisan, Davar},
title = {Strong approximations in a charged-polymer model},
journal = {Period. Math. Hungar.},
fjournal = {Periodica Mathematica Hungarica. Journal of the J\'{a}nos
Bolyai Mathematical Society},
volume = {61},
year = {2010},
number = {1-2},
pages = {213--224},
issn = {0031-5303},
mrclass = {60K35 (60K37)},
mrnumber = {2728439},
mrreviewer = {Francis Comets},
doi = {10.1007/s10998-010-3213-x},
url = {https://doi.org/10.1007/s10998-010-3213-x}
}
@Article{ hu.le.ea:17:stochastic,
author = {Hu, Yaozhong and L\^{e}, Khoa and Mytnik, Leonid},
title = {Stochastic differential equation for {B}rox diffusion},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {7},
pages = {2281--2315},
issn = {0304-4149},
mrclass = {60H10 (60J55 60J60)},
mrnumber = {3652414},
mrreviewer = {Liping Li},
doi = {10.1016/j.spa.2016.10.010},
url = {https://doi.org/10.1016/j.spa.2016.10.010}
}
@Article{ hu.le:13:multiparameter,
author = {Hu, Yaozhong and Le, Khoa},
title = {A multiparameter {G}arsia-{R}odemich-{R}umsey inequality
and some applications},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {123},
year = {2013},
number = {9},
pages = {3359--3377},
issn = {0304-4149},
mrclass = {60G17 (26A16 26D15 60G15 60G60 60H15)},
mrnumber = {3071383},
mrreviewer = {Dongsheng Wu},
doi = {10.1016/j.spa.2013.04.019},
url = {https://doi.org/10.1016/j.spa.2013.04.019}
}
@InCollection{ hu.le:16:nonlinear,
author = {Hu, Yaozhong and L\^{e}, Khoa N.},
title = {Nonlinear {Y}oung integrals via fractional calculus},
booktitle = {Stochastics of environmental and financial
economics---{C}entre of {A}dvanced {S}tudy, {O}slo,
{N}orway, 2014--2015},
series = {Springer Proc. Math. Stat.},
volume = {138},
pages = {81--99},
publisher = {Springer, Cham},
year = {2016},
mrclass = {60H05 (26A33 28C20)},
mrnumber = {3451169},
mrreviewer = {Mireia Besal\'{u}},
doi = {10.1007/978-3-319-23425-0\_3},
url = {https://doi.org/10.1007/978-3-319-23425-0_3}
}
@Article{ hu.le:17:nonlinear,
author = {Hu, Yaozhong and L\^{e}, Khoa},
title = {Nonlinear {Y}oung integrals and differential systems in
{H}\"{o}lder media},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {369},
year = {2017},
number = {3},
pages = {1935--2002},
issn = {0002-9947},
mrclass = {60H30 (60G17 60H07 60H15)},
mrnumber = {3581224},
mrreviewer = {Jean Picard},
doi = {10.1090/tran/6774},
url = {https://doi.org/10.1090/tran/6774}
}
@Article{ hu.le:19:joint,
author = {Hu, Yaozhong and L\^{e}, Khoa},
title = {Joint {H}\"{o}lder continuity of parabolic {A}nderson
model},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {39},
year = {2019},
number = {3},
pages = {764--780},
issn = {0252-9602},
mrclass = {60H15 (35K15 35R60 60G60)},
mrnumber = {4066504},
doi = {10.1007/s10473-019-0309-0},
url = {https://doi.org/10.1007/s10473-019-0309-0}
}
@Article{ hu.le:22:asymptotics,
author = {Hu, Yaozhong and L\^{e}, Khoa},
title = {Asymptotics of the density of parabolic {A}nderson random
fields},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {58},
year = {2022},
number = {1},
pages = {105--133},
issn = {0246-0203,1778-7017},
mrclass = {60H15 (35K60 60G15 60G17 60H05 60H07 60H30)},
mrnumber = {4374674},
mrreviewer = {Sergey\ V.\ Lototsky},
doi = {10.1214/21-aihp1148},
url = {https://doi.org/10.1214/21-aihp1148}
}
@Article{ hu.lee.ea:15:parameter,
author = {Hu, Yaozhong and Lee, Chihoon and Lee, Myung Hee and Song,
Jian},
title = {Parameter estimation for reflected {O}rnstein-{U}hlenbeck
processes with discrete observations},
journal = {Stat. Inference Stoch. Process.},
fjournal = {Statistical Inference for Stochastic Processes. An
International Journal Devoted to Time Series Analysis and
the Statistics of Continuous Time Processes and Dynamical
Systems},
volume = {18},
year = {2015},
number = {3},
pages = {279--291},
issn = {1387-0874},
mrclass = {62M05 (60J60 62F12)},
mrnumber = {3395608},
mrreviewer = {Rosa Maria Mininni},
doi = {10.1007/s11203-014-9112-7},
url = {https://doi.org/10.1007/s11203-014-9112-7}
}
@Article{ hu.lee:13:drift,
author = {Hu, Yaozhong and Lee, Chihoon},
title = {Drift parameter estimation for a reflected fractional
{B}rownian motion based on its local time},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {50},
year = {2013},
number = {2},
pages = {592--597},
issn = {0021-9002},
mrclass = {60G22 (60K25 62M09)},
mrnumber = {3102502},
mrreviewer = {Michael A. Zazanis},
doi = {10.1239/jap/1371648963},
url = {https://doi.org/10.1239/jap/1371648963}
}
@Article{ hu.lee:25:on,
title = {On the spatio-temporal increments of nonlinear parabolic
SPDEs and the open KPZ equation},
author = {Jingwu Hu and Cheuk Yin Lee},
year = {2025},
month = {August},
journal = {Preprint arXiv:2508.05032},
url = {http://arXiv.org/abs/2508.05032}
}
@Article{ hu.li.ea:22:on,
author = {Hu, Zhang-nan and Li, Bing and Xiao, Yimin},
title = {On the intersection of dynamical covering sets with
fractals},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {301},
year = {2022},
number = {1},
pages = {485--513},
issn = {0025-5874,1432-1823},
mrclass = {37A50 (28A80 60A10)},
mrnumber = {4405659},
mrreviewer = {Antti\ K\"{a}enm\"{a}ki},
doi = {10.1007/s00209-021-02924-2},
url = {https://doi.org/10.1007/s00209-021-02924-2}
}
@Article{ hu.li.ea:23:bsdes,
author = {Hu, Yaozhong and Li, Juan and Mi, Chao},
title = {B{SDE}s generated by fractional space-time noise and
related {SPDE}s},
journal = {Appl. Math. Comput.},
fjournal = {Applied Mathematics and Computation},
volume = {450},
year = {2023},
pages = {Paper No. 127979, 30},
issn = {0096-3003,1873-5649},
mrclass = {35R60},
mrnumber = {4566050},
doi = {10.1016/j.amc.2023.127979},
url = {https://doi.org/10.1016/j.amc.2023.127979}
}
@InCollection{ hu.lindstr-m.ea:95:inverse,
author = {Hu, Yao Zhong and Lindstr\o m, Tom and {\O}ksendal, Bernt and
Ub\o e, Jan and Zhang, Tu Sheng},
title = {Inverse powers of white noise},
booktitle = {Stochastic analysis ({I}thaca, {NY}, 1993)},
series = {Proc. Sympos. Pure Math.},
volume = {57},
pages = {439--456},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1995},
mrclass = {60G20 (46F25)},
mrnumber = {1335488},
mrreviewer = {Mylan Redfern},
doi = {10.1090/pspum/057/1335488},
url = {https://doi.org/10.1090/pspum/057/1335488}
}
@Article{ hu.liu.ea:16:rate,
author = {Hu, Yaozhong and Liu, Yanghui and Nualart, David},
title = {Rate of convergence and asymptotic error distribution of
{E}uler approximation schemes for fractional diffusions},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {2},
pages = {1147--1207},
issn = {1050-5164},
mrclass = {60H10 (26A33 60H07 60H35)},
mrnumber = {3476635},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1214/15-AAP1114},
url = {https://doi.org/10.1214/15-AAP1114}
}
@Article{ hu.liu.ea:16:taylor,
author = {Hu, Yaozhong and Liu, Yanghui and Nualart, David},
title = {Taylor schemes for rough differential equations and
fractional diffusions},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {21},
year = {2016},
number = {9},
pages = {3115--3162},
issn = {1531-3492},
mrclass = {60H10 (60H05 60H07 65C30)},
mrnumber = {3567804},
mrreviewer = {Horatio Setiawan Boedihardjo},
doi = {10.3934/dcdsb.2016090},
url = {https://doi.org/10.3934/dcdsb.2016090}
}
@Article{ hu.liu.ea:19:on,
author = {Hu, Yaozhong and Liu, Yanghui and Tindel, Samy},
title = {On the necessary and sufficient conditions to solve a heat
equation with general additive {G}aussian noise},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {39},
year = {2019},
number = {3},
pages = {669--690},
issn = {0252-9602},
mrclass = {60H15 (35K15 35R60 60G15 60H07)},
mrnumber = {4066499},
doi = {10.1007/s10473-019-0304-5},
url = {https://doi.org/10.1007/s10473-019-0304-5}
}
@Article{ hu.liu.ea:21:crank-nicolson,
author = {Hu, Yaozhong and Liu, Yanghui and Nualart, David},
title = {Crank-{N}icolson scheme for stochastic differential
equations driven by fractional {B}rownian motions},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {31},
year = {2021},
number = {1},
pages = {39--83},
issn = {1050-5164},
mrclass = {60F17 (60H10 60H35 65C30)},
mrnumber = {4254473},
doi = {10.1214/20-aap1582},
url = {https://doi.org/10.1214/20-aap1582}
}
@Article{ hu.liu.ea:95:random,
author = {Hu, Di He and Liu, Lu Qin and Xiao, Yi Min and Wu, Jun and
Zhao, Xing Qiu},
title = {Random fractals},
journal = {Adv. in Math. (China)},
fjournal = {Advances in Mathematics (China). Shuxue Jinzhan},
volume = {24},
year = {1995},
number = {3},
pages = {193--214},
issn = {1000-0917},
mrclass = {28A80 (60G17)},
mrnumber = {1357237}
}
@Article{ hu.long:07:parameter,
author = {Hu, Yaozhong and Long, Hongwei},
title = {Parameter estimation for {O}rnstein-{U}hlenbeck processes
driven by {$\alpha$}-stable {L}\'{e}vy motions},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {1},
year = {2007},
number = {2},
pages = {175--192},
mrclass = {62M05 (62F12)},
mrnumber = {2397392},
doi = {10.31390/cosa.1.2.01},
url = {https://doi.org/10.31390/cosa.1.2.01}
}
@Article{ hu.long:09:least,
author = {Hu, Yaozhong and Long, Hongwei},
title = {Least squares estimator for {O}rnstein-{U}hlenbeck
processes driven by {$\alpha$}-stable motions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {8},
pages = {2465--2480},
issn = {0304-4149},
mrclass = {60G52 (62M05 93E24)},
mrnumber = {2532208},
mrreviewer = {Jing Zheng},
doi = {10.1016/j.spa.2008.12.006},
url = {https://doi.org/10.1016/j.spa.2008.12.006}
}
@Article{ hu.long:09:on,
author = {Hu, Yaozhong and Long, Hongwei},
title = {On the singularity of least squares estimator for
mean-reverting {$\alpha$}-stable motions},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {29},
year = {2009},
number = {3},
pages = {599--608},
issn = {0252-9602},
mrclass = {60G52 (62M05 65C30 93E24)},
mrnumber = {2514363},
mrreviewer = {Olga A. Korosteleva},
doi = {10.1016/S0252-9602(09)60056-4},
url = {https://doi.org/10.1016/S0252-9602(09)60056-4}
}
@Article{ hu.long:93:symmetric,
author = {Hu, Yao Zhong and Long, Hong Wei},
title = {Symmetric integral and the approximation theorem of
stochastic integral in the plane},
journal = {Acta Math. Sci. (English Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {13},
year = {1993},
number = {2},
pages = {153--166},
issn = {0252-9602},
mrclass = {60H05 (60G44 60G60)},
mrnumber = {1257454},
mrreviewer = {Yu. S. Mishura},
doi = {10.1016/S0252-9602(18)30202-9},
url = {https://doi.org/10.1016/S0252-9602(18)30202-9}
}
@Article{ hu.lu.ea:12:feynman-kac,
author = {Hu, Yaozhong and Lu, Fei and Nualart, David},
title = {Feynman-{K}ac formula for the heat equation driven by
fractional noise with {H}urst parameter {$H<1/2$}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {3},
pages = {1041--1068},
issn = {0091-1798},
mrclass = {60H15 (35K15 35R60 60G22 60H05 60H30)},
mrnumber = {2962086},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1214/11-AOP649},
url = {https://doi.org/10.1214/11-AOP649}
}
@Article{ hu.lu.ea:13:holder,
author = {Hu, Yaozhong and Lu, Fei and Nualart, David},
title = {H\"{o}lder continuity of the solutions for a class of
nonlinear {SPDE}'s arising from one dimensional
superprocesses},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {156},
year = {2013},
number = {1-2},
pages = {27--49},
issn = {0178-8051},
mrclass = {60H07 (60H15 60H30)},
mrnumber = {3055251},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1007/s00440-012-0419-2},
url = {https://doi.org/10.1007/s00440-012-0419-2}
}
@Article{ hu.lu.ea:13:non-degeneracy,
author = {Hu, Yaozhong and Lu, Fei and Nualart, David},
title = {Non-degeneracy of some {S}obolev pseudo-norms of
fractional {B}rownian motion},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {18},
year = {2013},
pages = {no. 84, 8},
mrclass = {60H07 (60G22)},
mrnumber = {3141793},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1214/ECP.v18-2986},
url = {https://doi.org/10.1214/ECP.v18-2986}
}
@Article{ hu.lu.ea:14:convergence,
author = {Hu, Yaozhong and Lu, Fei and Nualart, David},
title = {Convergence of densities of some functionals of {G}aussian
processes},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {266},
year = {2014},
number = {2},
pages = {814--875},
issn = {0022-1236},
mrclass = {60F05 (60F10 60G15 60H07)},
mrnumber = {3132731},
mrreviewer = {Ivan Nourdin},
doi = {10.1016/j.jfa.2013.09.024},
url = {https://doi.org/10.1016/j.jfa.2013.09.024}
}
@Article{ hu.matoussi.ea:15:wong-zakai,
author = {Hu, Ying and Matoussi, Anis and Zhang, Tusheng},
title = {Wong-{Z}akai approximations of backward doubly stochastic
differential equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {12},
pages = {4375--4404},
issn = {0304-4149},
mrclass = {60H10 (60H30)},
mrnumber = {3406590},
mrreviewer = {Ju-Liang Yin},
doi = {10.1016/j.spa.2015.07.003},
url = {https://doi.org/10.1016/j.spa.2015.07.003}
}
@InCollection{ hu.meyer:88:chaos,
author = {Hu, Y. Z. and Meyer, P.-A.},
title = {Chaos de {W}iener et int\'{e}grale de {F}eynman},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXII}},
series = {Lecture Notes in Math.},
volume = {1321},
pages = {51--71},
publisher = {Springer, Berlin},
year = {1988},
mrclass = {60J65 (28C10 58D25 60J55)},
mrnumber = {960508},
mrreviewer = {Sheng Wu He},
doi = {10.1007/BFb0084118},
url = {https://doi.org/10.1007/BFb0084118}
}
@InCollection{ hu.meyer:88:sur,
author = {Hu, Y. Z. and Meyer, P.-A.},
title = {Sur les int\'{e}grales multiples de {S}tratonovitch},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXII}},
series = {Lecture Notes in Math.},
volume = {1321},
pages = {72--81},
publisher = {Springer, Berlin},
year = {1988},
mrclass = {60H05 (28C20 58D20 60B05 60J65)},
mrnumber = {960509},
mrreviewer = {Sheng Wu He},
doi = {10.1007/BFb0084119},
url = {https://doi.org/10.1007/BFb0084119}
}
@InCollection{ hu.meyer:93:on,
author = {Hu, Y. Z. and Meyer, P. A.},
title = {On the approximation of multiple {S}tratonovich
integrals},
booktitle = {Stochastic processes},
pages = {141--147},
publisher = {Springer, New York},
year = {1993},
mrclass = {60H05},
mrnumber = {1427310},
mrreviewer = {Josep Lluis Sol\'{e} i Clivill\'{e}s}
}
@Article{ hu.mohammed.ea:04:discrete-time,
author = {Hu, Yaozhong and Mohammed, Salah-Eldin A. and Yan, Feng},
title = {Discrete-time approximations of stochastic delay
equations: the {M}ilstein scheme},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {1A},
pages = {265--314},
issn = {0091-1798},
mrclass = {60H35 (34K28 34K50 37H10 60H10)},
mrnumber = {2040783},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/aop/1078415836},
url = {https://doi.org/10.1214/aop/1078415836}
}
@Article{ hu.nualart.ea:08:integral,
author = {Hu, Yaozhong and Nualart, David and Song, Jian},
title = {Integral representation of renormalized self-intersection
local times},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {255},
year = {2008},
number = {9},
pages = {2507--2532},
issn = {0022-1236},
mrclass = {60J55 (60G22 60H07)},
mrnumber = {2473265},
mrreviewer = {Andreas Neuenkirch},
doi = {10.1016/j.jfa.2008.06.016},
url = {https://doi.org/10.1016/j.jfa.2008.06.016}
}
@Article{ hu.nualart.ea:08:singular,
author = {Hu, Yaozhong and Nualart, David and Song, Xiaoming},
title = {A singular stochastic differential equation driven by
fractional {B}rownian motion},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {78},
year = {2008},
number = {14},
pages = {2075--2085},
issn = {0167-7152},
mrclass = {60H10 (60H05 60H07)},
mrnumber = {2458016},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1016/j.spl.2008.01.080},
url = {https://doi.org/10.1016/j.spl.2008.01.080}
}
@Article{ hu.nualart.ea:09:fractional,
author = {Hu, Yaozhong and Nualart, David and Song, Jian},
title = {Fractional martingales and characterization of the
fractional {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {6},
pages = {2404--2430},
issn = {0091-1798},
mrclass = {60G44 (60G22 60J65)},
mrnumber = {2573562},
mrreviewer = {Tommi P. Sottinen},
doi = {10.1214/09-AOP464},
url = {https://doi.org/10.1214/09-AOP464}
}
@Article{ hu.nualart.ea:11:exact,
author = {Hu, Yaozhong and Nualart, David and Xiao, Weilin and
Zhang, Weiguo},
title = {Exact maximum likelihood estimator for drift fractional
{B}rownian motion at discrete observation},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {31},
year = {2011},
number = {5},
pages = {1851--1859},
issn = {0252-9602},
mrclass = {62F10 (60F05 60G22 60H07 62F12 62M05)},
mrnumber = {2884954},
mrreviewer = {Nicolas Privault},
doi = {10.1016/S0252-9602(11)60365-2},
url = {https://doi.org/10.1016/S0252-9602(11)60365-2}
}
@Article{ hu.nualart.ea:11:feynman-kac,
author = {Hu, Yaozhong and Nualart, David and Song, Jian},
title = {Feynman-{K}ac formula for heat equation driven by
fractional white noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {39},
year = {2011},
number = {1},
pages = {291--326},
issn = {0091-1798},
mrclass = {60H07 (35R60 60G17 60G22 60G30 60H15)},
mrnumber = {2778803},
mrreviewer = {No\`elia Viles},
doi = {10.1214/10-AOP547},
url = {https://doi.org/10.1214/10-AOP547}
}
@Article{ hu.nualart.ea:11:malliavin,
author = {Hu, Yaozhong and Nualart, David and Song, Xiaoming},
title = {Malliavin calculus for backward stochastic differential
equations and application to numerical solutions},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {21},
year = {2011},
number = {6},
pages = {2379--2423},
issn = {1050-5164},
mrclass = {60H07 (60H10 60H35 65C30)},
mrnumber = {2895419},
mrreviewer = {Roger Pettersson},
doi = {10.1214/11-AAP762},
url = {https://doi.org/10.1214/11-AAP762}
}
@Article{ hu.nualart.ea:13:nonlinear,
author = {Hu, Yaozhong and Nualart, David and Song, Jian},
title = {A nonlinear stochastic heat equation: {H}\"{o}lder
continuity and smoothness of the density of the solution},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {123},
year = {2013},
number = {3},
pages = {1083--1103},
issn = {0304-4149},
mrclass = {60H15 (60G22 60H07)},
mrnumber = {3005015},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1016/j.spa.2012.11.004},
url = {https://doi.org/10.1016/j.spa.2012.11.004}
}
@Article{ hu.nualart.ea:14:43-variation,
author = {Hu, Yaozhong and Nualart, David and Song, Jian},
title = {The {$\frac{4}{3}$}-variation of the derivative of the
self-intersection {B}rownian local time and related
processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {27},
year = {2014},
number = {3},
pages = {789--825},
issn = {0894-9840},
mrclass = {60J65 (60A10 60G22 60J55)},
mrnumber = {3245985},
mrreviewer = {Tam\'{a}s Szabados},
doi = {10.1007/s10959-012-0469-5},
url = {https://doi.org/10.1007/s10959-012-0469-5}
}
@Article{ hu.nualart.ea:14:central,
author = {Hu, Yaozhong and Nualart, David and Xu, Fangjun},
title = {Central limit theorem for an additive functional of the
fractional {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {1},
pages = {168--203},
issn = {0091-1798},
mrclass = {60F05 (60G22)},
mrnumber = {3161484},
mrreviewer = {Gennady Shaikhet},
doi = {10.1214/12-AOP825},
url = {https://doi.org/10.1214/12-AOP825}
}
@Article{ hu.nualart.ea:15:density,
author = {Hu, Yaozhong and Nualart, David and Tindel, Samy and Xu,
Fangjun},
title = {Density convergence in the {B}reuer-{M}ajor theorem for
{G}aussian stationary sequences},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {21},
year = {2015},
number = {4},
pages = {2336--2350},
issn = {1350-7265},
mrclass = {60F05 (60G10 60H07)},
mrnumber = {3378469},
mrreviewer = {Matthias Schulte},
doi = {10.3150/14-BEJ646},
url = {https://doi.org/10.3150/14-BEJ646}
}
@Article{ hu.nualart.ea:18:large,
author = {Hu, Yaozhong and Nualart, David and Zhang, Tusheng},
title = {Large deviations for stochastic heat equation with rough
dependence in space},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {24},
year = {2018},
number = {1},
pages = {354--385},
issn = {1350-7265},
mrclass = {60H15 (60F10 60G22)},
mrnumber = {3706761},
mrreviewer = {Raluca M. Balan},
doi = {10.3150/16-BEJ880},
url = {https://doi.org/10.3150/16-BEJ880}
}
@Article{ hu.nualart.ea:19:drift,
author = {Hu, Yaozhong and Nualart, David and Zhou, Hongjuan},
title = {Drift parameter estimation for nonlinear stochastic
differential equations driven by fractional {B}rownian
motion},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {91},
year = {2019},
number = {8},
pages = {1067--1091},
issn = {1744-2508},
mrclass = {62M09 (60G22 60H10 60H30)},
mrnumber = {4023508},
mrreviewer = {Paolo Pigato},
doi = {10.1080/17442508.2018.1563606},
url = {https://doi.org/10.1080/17442508.2018.1563606}
}
@Article{ hu.nualart.ea:19:holder,
author = {Hu, Yaozhong and Nualart, David and Xia, Panqiu},
title = {H\"{o}lder continuity of the solutions to a class of
{SPDE}'s arising from branching particle systems in a
random environment},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 105, 52},
mrclass = {60H07 (60H15 60J68 60K37)},
mrnumber = {4017123},
doi = {10.1214/19-ejp357},
url = {https://doi.org/10.1214/19-ejp357}
}
@Article{ hu.nualart.ea:19:parameter,
author = {Hu, Yaozhong and Nualart, David and Zhou, Hongjuan},
title = {Parameter estimation for fractional {O}rnstein-{U}hlenbeck
processes of general {H}urst parameter},
journal = {Stat. Inference Stoch. Process.},
fjournal = {Statistical Inference for Stochastic Processes. An
International Journal Devoted to Time Series Analysis and
the Statistics of Continuous Time Processes and Dynamical
Systems},
volume = {22},
year = {2019},
number = {1},
pages = {111--142},
issn = {1387-0874},
mrclass = {62F10 (60F05 60G22 60H07)},
mrnumber = {3918739},
mrreviewer = {Arturo Kohatsu-Higa},
doi = {10.1007/s11203-017-9168-2},
url = {https://doi.org/10.1007/s11203-017-9168-2}
}
@Article{ hu.nualart.ea:19:smoothness,
author = {Hu, Yaozhong and Nualart, David and Sun, Xiaobin and Xie,
Yingchao},
title = {Smoothness of density for stochastic differential
equations with {M}arkovian switching},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {24},
year = {2019},
number = {8},
pages = {3615--3631},
issn = {1531-3492},
mrclass = {60H10 (60H07 60J99)},
mrnumber = {3986248},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.3934/dcdsb.2018307},
url = {https://doi.org/10.3934/dcdsb.2018307}
}
@Article{ hu.nualart.ea:20:implicit,
author = {Hu, Yaozhong and Nualart, David and Song, Xiaoming},
title = {An implicit numerical scheme for a class of backward
doubly stochastic differential equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {130},
year = {2020},
number = {6},
pages = {3295--3324},
issn = {0304-4149},
mrclass = {60H10 (60H05 60H07 60H35)},
mrnumber = {4092406},
mrreviewer = {Vivek S. Borkar},
doi = {10.1016/j.spa.2019.09.014},
url = {https://doi.org/10.1016/j.spa.2019.09.014}
}
@Article{ hu.nualart:05:renormalized,
author = {Hu, Yaozhong and Nualart, David},
title = {Renormalized self-intersection local time for fractional
{B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {3},
pages = {948--983},
issn = {0091-1798},
mrclass = {60G15 (60F05 60F25 60G18 60J55)},
mrnumber = {2135309},
mrreviewer = {Corinne Berzin},
doi = {10.1214/009117905000000017},
url = {https://doi.org/10.1214/009117905000000017}
}
@Article{ hu.nualart:05:some,
author = {Hu, Y. and Nualart, D.},
title = {Some processes associated with fractional {B}essel
processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {18},
year = {2005},
number = {2},
pages = {377--397},
issn = {0894-9840},
mrclass = {60G15},
mrnumber = {2137449},
mrreviewer = {Michal Vyoral},
doi = {10.1007/s10959-005-3508-7},
url = {https://doi.org/10.1007/s10959-005-3508-7}
}
@InCollection{ hu.nualart:07:differential,
author = {Hu, Yaozhong and Nualart, David},
title = {Differential equations driven by {H}\"{o}lder continuous
functions of order greater than 1/2},
booktitle = {Stochastic analysis and applications},
series = {Abel Symp.},
volume = {2},
pages = {399--413},
publisher = {Springer, Berlin},
year = {2007},
mrclass = {60H10},
mrnumber = {2397797},
mrreviewer = {Michal Vyoral},
doi = {10.1007/978-3-540-70847-6\_17},
url = {https://doi.org/10.1007/978-3-540-70847-6_17}
}
@Article{ hu.nualart:07:regularity,
author = {Hu, Yaozhong and Nualart, David},
title = {Regularity of renormalized self-intersection local time
for fractional {B}rownian motion},
journal = {Commun. Inf. Syst.},
fjournal = {Communications in Information and Systems},
volume = {7},
year = {2007},
number = {1},
pages = {21--30},
issn = {1526-7555},
mrclass = {60J55 (60G15)},
mrnumber = {2346577},
mrreviewer = {Tina M. Marquardt},
url = {http://projecteuclid.org/euclid.cis/1184963896}
}
@Article{ hu.nualart:09:rough,
author = {Hu, Yaozhong and Nualart, David},
title = {Rough path analysis via fractional calculus},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {361},
year = {2009},
number = {5},
pages = {2689--2718},
issn = {0002-9947},
mrclass = {60H05 (26A33 26A42 46E35 60H10)},
mrnumber = {2471936},
mrreviewer = {Tina M. Marquardt},
doi = {10.1090/S0002-9947-08-04631-X},
url = {https://doi.org/10.1090/S0002-9947-08-04631-X}
}
@Article{ hu.nualart:09:stochastic,
author = {Hu, Yaozhong and Nualart, David},
title = {Stochastic heat equation driven by fractional noise and
local time},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {143},
year = {2009},
number = {1-2},
pages = {285--328},
issn = {0178-8051},
mrclass = {60H15 (60H07)},
mrnumber = {2449130},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1007/s00440-007-0127-5},
url = {https://doi.org/10.1007/s00440-007-0127-5}
}
@Article{ hu.nualart:09:stochastic*1,
author = {Hu, Yaozhong and Nualart, David},
title = {Stochastic integral representation of the {$L^2$} modulus
of {B}rownian local time and a central limit theorem},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {14},
year = {2009},
pages = {529--539},
mrclass = {60H07 (60F05 60J55 60J65)},
mrnumber = {2564487},
mrreviewer = {Huijie Qiao},
doi = {10.1214/ECP.v14-1511},
url = {https://doi.org/10.1214/ECP.v14-1511}
}
@Article{ hu.nualart:10:central,
author = {Hu, Yaozhong and Nualart, David},
title = {Central limit theorem for the third moment in space of the
{B}rownian local time increments},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {15},
year = {2010},
pages = {396--410},
mrclass = {60H07 (60F05 60H05)},
mrnumber = {2726086},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1214/ECP.v15-1573},
url = {https://doi.org/10.1214/ECP.v15-1573}
}
@Article{ hu.nualart:10:parameter,
author = {Hu, Yaozhong and Nualart, David},
title = {Parameter estimation for fractional {O}rnstein-{U}hlenbeck
processes},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {80},
year = {2010},
number = {11-12},
pages = {1030--1038},
issn = {0167-7152},
mrclass = {62M09 (60F05 60G22 60H07 62F10 62F12)},
mrnumber = {2638974},
mrreviewer = {Mark Podolskij},
doi = {10.1016/j.spl.2010.02.018},
url = {https://doi.org/10.1016/j.spl.2010.02.018}
}
@Article{ hu.nualart:98:continuity,
author = {Hu, Yaozhong and Nualart, David},
title = {Continuity of some anticipating integral processes},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {37},
year = {1998},
number = {2},
pages = {203--211},
issn = {0167-7152},
mrclass = {60H07 (60H05)},
mrnumber = {1620482},
mrreviewer = {Marco Ferrante},
doi = {10.1016/S0167-7152(97)00118-1},
url = {https://doi.org/10.1016/S0167-7152(97)00118-1}
}
@InCollection{ hu.ocone.ea:12:some,
author = {Hu, Yaozhong and Ocone, Daniel and Song, Jian},
title = {Some results on backward stochastic differential equations
driven by fractional {B}rownian motions},
booktitle = {Stochastic analysis and applications to finance},
series = {Interdiscip. Math. Sci.},
volume = {13},
pages = {225--242},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2012},
mrclass = {60H10 (60G22)},
mrnumber = {2986849},
mrreviewer = {Hong Yin},
doi = {10.1142/9789814383585\_0012},
url = {https://doi.org/10.1142/9789814383585_0012}
}
@InCollection{ hu.oksendal.ea:00:optimal,
author = {Hu, Yaozhong and {\O}ksendal, Bernt and Sulem, Agn\`es},
title = {Optimal portfolio in a fractional {B}lack {$\&$} {S}choles
market},
booktitle = {Mathematical physics and stochastic analysis ({L}isbon,
1998)},
pages = {267--279},
publisher = {World Sci. Publ., River Edge, NJ},
year = {2000},
mrclass = {60H10 (91B28)},
mrnumber = {1893112}
}
@InCollection{ hu.oksendal.ea:00:stochastic,
author = {Hu, Yaozhong and {\O}ksendal, Bernt and Zhang, Tusheng},
title = {Stochastic partial differential equations driven by
multiparameter fractional white noise},
booktitle = {Stochastic processes, physics and geometry: new
interplays, {II} ({L}eipzig, 1999)},
series = {CMS Conf. Proc.},
volume = {29},
pages = {327--337},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {60H40},
mrnumber = {1803426},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1081/pde-120028841},
url = {https://doi.org/10.1081/pde-120028841}
}
@InCollection{ hu.oksendal.ea:01:stochastic,
author = {Hu, Yaozhong and {\O}ksendal, Bernt and Zhang, Tusheng},
title = {Stochastic fractional potential theory},
booktitle = {Papers on analysis},
series = {Rep. Univ. Jyv\"{a}skyl\"{a} Dep. Math. Stat.},
volume = {83},
pages = {169--180},
publisher = {Univ. Jyv\"{a}skyl\"{a}, Jyv\"{a}skyl\"{a}},
year = {2001},
mrclass = {31C45 (60H05 60H40)},
mrnumber = {1886621},
mrreviewer = {Wilhelm Stannat}
}
@Article{ hu.oksendal.ea:03:optimal,
author = {Hu, Yaozhong and {\O}ksendal, Bernt and Sulem, Agn\`es},
title = {Optimal consumption and portfolio in a {B}lack-{S}choles
market driven by fractional {B}rownian motion},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {6},
year = {2003},
number = {4},
pages = {519--536},
issn = {0219-0257},
mrclass = {91B28 (60G15 60H05)},
mrnumber = {2030208},
mrreviewer = {Ludger Overbeck},
doi = {10.1142/S0219025703001432},
url = {https://doi.org/10.1142/S0219025703001432}
}
@Article{ hu.oksendal.ea:04:general,
author = {Hu, Yaozhong and {\O}ksendal, Bernt and Zhang, Tusheng},
title = {General fractional multiparameter white noise theory and
stochastic partial differential equations},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {29},
year = {2004},
number = {1-2},
pages = {1--23},
issn = {0360-5302},
mrclass = {60H40 (35R60 60H15)},
mrnumber = {2038141},
mrreviewer = {Andrzej Kozlowski},
doi = {10.1081/PDE-120028841},
url = {https://doi.org/10.1081/PDE-120028841}
}
@Article{ hu.oksendal.ea:05:weighted,
author = {Hu, Yaozhong and {\O}ksendal, Bernt and Salopek, Donna Mary},
title = {Weighted local time for fractional {B}rownian motion and
applications to finance},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {23},
year = {2005},
number = {1},
pages = {15--30},
issn = {0736-2994},
mrclass = {60H05 (60G15 60H30 91B28)},
mrnumber = {2123941},
mrreviewer = {Nicolas Privault},
doi = {10.1081/SAP-200044412},
url = {https://doi.org/10.1081/SAP-200044412}
}
@Article{ hu.oksendal.ea:17:singular,
author = {Hu, Yaozhong and {\O}ksendal, Bernt and Sulem, Agn\`es},
title = {Singular mean-field control games},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {35},
year = {2017},
number = {5},
pages = {823--851},
issn = {0736-2994},
mrclass = {91A15 (91A23 91B38 91B55 91B70 93E20)},
mrnumber = {3686471},
mrreviewer = {Vivek S. Borkar},
doi = {10.1080/07362994.2017.1325745},
url = {https://doi.org/10.1080/07362994.2017.1325745}
}
@Article{ hu.oksendal:02:chaos,
author = {Hu, Yaozhong and {\O}ksendal, Bernt},
title = {Chaos expansion of local time of fractional {B}rownian
motions},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {20},
year = {2002},
number = {4},
pages = {815--837},
issn = {0736-2994},
mrclass = {60G15 (60G17 60H05 60H40)},
mrnumber = {1921068},
mrreviewer = {Vladimir I. Bogachev},
doi = {10.1081/SAP-120006109},
url = {https://doi.org/10.1081/SAP-120006109}
}
@Article{ hu.oksendal:03:fractional,
author = {Hu, Yaozhong and {\O}ksendal, Bernt},
title = {Fractional white noise calculus and applications to
finance},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {6},
year = {2003},
number = {1},
pages = {1--32},
issn = {0219-0257},
mrclass = {60H40 (60G15 60H05 91B28)},
mrnumber = {1976868},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1142/S0219025703001110},
url = {https://doi.org/10.1142/S0219025703001110}
}
@Article{ hu.oksendal:07:optimal,
author = {Hu, Yaozhong and {\O}ksendal, Bernt},
title = {Optimal smooth portfolio selection for an insider},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {44},
year = {2007},
number = {3},
pages = {742--752},
issn = {0021-9002},
mrclass = {60H30 (60H10 91B28)},
mrnumber = {2355589},
mrreviewer = {Josef Teichmann},
doi = {10.1239/jap/1189717542},
url = {https://doi.org/10.1239/jap/1189717542}
}
@InCollection{ hu.oksendal:08:optimal,
author = {Hu, Yaozhong and {\O}ksendal, Bernt},
title = {Optimal stopping with advanced information flow: selected
examples},
booktitle = {Advances in mathematics of finance},
series = {Banach Center Publ.},
volume = {83},
pages = {107--116},
publisher = {Polish Acad. Sci. Inst. Math., Warsaw},
year = {2008},
mrclass = {60G40 (60H05 60H07 60J65 91G20)},
mrnumber = {2509229},
mrreviewer = {Barthel W. Huff},
doi = {10.4064/bc83-0-7},
url = {https://doi.org/10.4064/bc83-0-7}
}
@Article{ hu.oksendal:08:partial,
author = {Hu, Yaozhong and {\O}ksendal, Bernt},
title = {Partial information linear quadratic control for jump
diffusions},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {47},
year = {2008},
number = {4},
pages = {1744--1761},
issn = {0363-0129},
mrclass = {93E20 (60G51 60H05 60J75 91B28)},
mrnumber = {2421328},
mrreviewer = {Christian Bender},
doi = {10.1137/060667566},
url = {https://doi.org/10.1137/060667566}
}
@Article{ hu.oksendal:19:linear,
author = {Hu, Yaozhong and {\O}ksendal, Bernt},
title = {Linear {V}olterra backward stochastic integral equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {129},
year = {2019},
number = {2},
pages = {626--633},
issn = {0304-4149},
mrclass = {60H07 (45D05 45R05 60H20 60H30)},
mrnumber = {3907012},
mrreviewer = {Mark A. McKibben},
doi = {10.1016/j.spa.2018.03.016},
url = {https://doi.org/10.1016/j.spa.2018.03.016}
}
@InCollection{ hu.oksendal:96:wick,
author = {Hu, Yaozhong and {\O}ksendal, Bernt},
title = {Wick approximation of quasilinear stochastic differential
equations},
booktitle = {Stochastic analysis and related topics, {V} ({S}ilivri,
1994)},
series = {Progr. Probab.},
volume = {38},
pages = {203--231},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1996},
mrclass = {60H10},
mrnumber = {1396332},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel}
}
@Article{ hu.oksendal:98:optimal,
author = {Hu, Yaozhong and {\O}ksendal, Bernt},
title = {Optimal time to invest when the price processes are
geometric {B}rownian motions},
journal = {Finance Stoch.},
fjournal = {Finance and Stochastics},
volume = {2},
year = {1998},
number = {3},
pages = {295--310},
issn = {0949-2984},
mrclass = {91B28 (60G40)},
mrnumber = {1809523},
mrreviewer = {Richard H. Stockbridge},
doi = {10.1007/s007800050042},
url = {https://doi.org/10.1007/s007800050042}
}
@Article{ hu.peng:09:backward,
author = {Hu, Yaozhong and Peng, Shige},
title = {Backward stochastic differential equation driven by
fractional {B}rownian motion},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {48},
year = {2009},
number = {3},
pages = {1675--1700},
issn = {0363-0129},
mrclass = {60H10 (60G22)},
mrnumber = {2516183},
mrreviewer = {Vasily A. Chernecky},
doi = {10.1137/070709451},
url = {https://doi.org/10.1137/070709451}
}
@Article{ hu.perez-abreu:95:on,
author = {Hu, Yaozhong and P\'{e}rez-Abreu, V\'{i}ctor},
title = {On the continuity of {W}iener chaos},
journal = {Bol. Soc. Mat. Mexicana (3)},
fjournal = {Sociedad Matem\'{a}tica Mexicana. Bolet\'{i}n. Tercera
Serie},
volume = {1},
year = {1995},
number = {2},
pages = {127--135},
issn = {1405-213X},
mrclass = {60H99 (60G20)},
mrnumber = {1387656},
mrreviewer = {Eddy Mayer-Wolf}
}
@Article{ hu.pierre-loti-viaud.ea:95:laws,
author = {Hu, Y. and Pierre-Loti-Viaud, D. and Shi, Z.},
title = {Laws of the iterated logarithm for iterated {W}iener
processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {8},
year = {1995},
number = {2},
pages = {303--319},
issn = {0894-9840},
mrclass = {60F15 (60F17 60J65)},
mrnumber = {1325853},
mrreviewer = {P. R\'{e}v\'{e}sz},
doi = {10.1007/BF02212881},
url = {https://doi.org/10.1007/BF02212881}
}
@Article{ hu.rang:14:identification,
author = {Hu, Yaozhong and Rang, Guanglin},
title = {Identification of the point sources in some stochastic
wave equations},
journal = {Abstr. Appl. Anal.},
fjournal = {Abstract and Applied Analysis},
year = {2014},
pages = {Art. ID 219876, 11},
issn = {1085-3375},
mrclass = {60H15 (35R30 35R60 62H12 62M09)},
mrnumber = {3200770},
mrreviewer = {Guangying Lv},
doi = {10.1155/2014/219876},
url = {https://doi.org/10.1155/2014/219876}
}
@Article{ hu.salins.ea:19:large,
author = {Hu, Wenqing and Salins, Michael and Spiliopoulos,
Konstantinos},
title = {Large deviations and averaging for systems of slow-fast
stochastic reaction-diffusion equations},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {7},
year = {2019},
number = {4},
pages = {808--874},
issn = {2194-0401},
mrclass = {60H15 (35K57 35R60 60F10 70K70)},
mrnumber = {4022288},
mrreviewer = {Yong Liu},
doi = {10.1007/s40072-019-00140-y},
url = {https://doi.org/10.1007/s40072-019-00140-y}
}
@Article{ hu.sharma:23:ergodic,
author = {Hu, Yaozhong and Sharma, Neha},
title = {Ergodic estimators of double exponential
{O}rnstein-{U}hlenbeck processes},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {434},
year = {2023},
pages = {Paper No. 115329, 19},
issn = {0377-0427,1879-1778},
mrclass = {60H10 (62F10 62F12 62M05)},
mrnumber = {4599495},
doi = {10.1016/j.cam.2023.115329},
url = {https://doi.org/10.1016/j.cam.2023.115329}
}
@Article{ hu.shi:09:minimal,
author = {Hu, Yueyun and Shi, Zhan},
title = {Minimal position and critical martingale convergence in
branching random walks, and directed polymers on disordered
trees},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {2},
pages = {742--789},
issn = {0091-1798},
mrclass = {60J80 (60G42)},
mrnumber = {2510023},
mrreviewer = {David A. Croydon},
doi = {10.1214/08-AOP419},
url = {https://doi.org/10.1214/08-AOP419}
}
@InCollection{ hu.song:13:parameter,
author = {Hu, Yaozhong and Song, Jian},
title = {Parameter estimation for fractional {O}rnstein-{U}hlenbeck
processes with discrete observations},
booktitle = {Malliavin calculus and stochastic analysis},
series = {Springer Proc. Math. Stat.},
volume = {34},
pages = {427--442},
publisher = {Springer, New York},
year = {2013},
mrclass = {62M05 (60G22 60H07 60J60 62F12)},
mrnumber = {3070455},
mrreviewer = {Wei-Lin Xiao},
doi = {10.1007/978-1-4614-5906-4\_19},
url = {https://doi.org/10.1007/978-1-4614-5906-4_19}
}
@Article{ hu.tao:17:boundedness,
author = {Hu, Bingran and Tao, Youshan},
title = {Boundedness in a parabolic-elliptic chemotaxis-growth
system under a critical parameter condition},
journal = {Appl. Math. Lett.},
fjournal = {Applied Mathematics Letters. An International Journal of
Rapid Publication},
volume = {64},
year = {2017},
pages = {1--7},
issn = {0893-9659},
mrclass = {92C17 (35J91 35K59 35M33 35Q92)},
mrnumber = {3564732},
doi = {10.1016/j.aml.2016.08.003},
url = {https://doi.org/10.1016/j.aml.2016.08.003}
}
@Article{ hu.tindel:13:smooth,
author = {Hu, Yaozhong and Tindel, Samy},
title = {Smooth density for some nilpotent rough differential
equations},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {26},
year = {2013},
number = {3},
pages = {722--749},
issn = {0894-9840},
mrclass = {60H07 (60G22 60H10 65C30)},
mrnumber = {3090548},
mrreviewer = {Roger Pettersson},
doi = {10.1007/s10959-011-0388-x},
url = {https://doi.org/10.1007/s10959-011-0388-x}
}
@Article{ hu.ustunel.ea:02:tangent,
author = {Hu, Y. and \"{U}st\"{u}nel, A. S. and Zakai, M.},
title = {Tangent processes on {W}iener space},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {192},
year = {2002},
number = {1},
pages = {234--270},
issn = {0022-1236},
mrclass = {60H07 (28D05)},
mrnumber = {1918495},
mrreviewer = {Ana Bela Cruzeiro},
doi = {10.1006/jfan.2001.3897},
url = {https://doi.org/10.1006/jfan.2001.3897}
}
@Article{ hu.wang.ea:23:moment,
title = {Moment asymptotics for super-Brownian motions},
author = {Yaozhong Hu and Xiong Wang and Panqiu Xia and Jiayu
Zheng},
year = {2023},
month = {March},
journal = {Preprint arXiv:2303.12994},
url = {http://arXiv.org/abs/2303.12994}
}
@Article{ hu.wang:10:convergence,
author = {Hu, Yaozhong and Wang, Baobin},
title = {Convergence rate of an approximation to multiple integral
of {FBM}},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {30},
year = {2010},
number = {3},
pages = {975--992},
issn = {0252-9602},
mrclass = {60G22 (60F25 60H05)},
mrnumber = {2675803},
mrreviewer = {Zbigniew Michna},
doi = {10.1016/S0252-9602(10)60095-1},
url = {https://doi.org/10.1016/S0252-9602(10)60095-1}
}
@Article{ hu.wang:21:intermittency,
title = {Intermittency properties for a large class of stochastic
PDEs driven by fractional space-time noises},
author = {Yaozhong Hu and Xiong Wang},
year = {2021},
month = {September},
journal = {Preprint arXiv:2109.03473, to appear in Stoch. Partial
Differ. Equ. Anal. Comput.},
url = {https://www.arxiv.org/abs/2109.03473}
}
@Article{ hu.wang:22:stochastic,
author = {Hu, Yaozhong and Wang, Xiong},
title = {Stochastic heat equation with general rough noise},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {58},
year = {2022},
number = {1},
pages = {379--423},
issn = {0246-0203},
mrclass = {60H15 (35K08 60G15 60H05 60H07)},
mrnumber = {4374680},
doi = {10.1214/21-aihp1161},
url = {https://doi.org/10.1214/21-aihp1161}
}
@Article{ hu.wang:24:matching,
author = {Hu, Yaozhong and Wang, Xiong},
title = {Matching upper and lower moment bounds for a large class
of stochastic {PDE}s driven by general space-time
{G}aussian noises},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {12},
year = {2024},
number = {1},
pages = {1--52},
issn = {2194-0401},
mrclass = {60H15 (26A33 30E05 35R11 35R60 37H15 60H07)},
mrnumber = {4709538},
doi = {10.1007/s40072-022-00278-2},
url = {https://doi.org/10.1007/s40072-022-00278-2}
}
@Article{ hu.watanabe:96:donskers,
author = {Hu, Yaozhong and Watanabe, Shinzo},
title = {Donsker's delta functions and approximation of heat
kernels by the time discretization methods},
journal = {J. Math. Kyoto Univ.},
fjournal = {Journal of Mathematics of Kyoto University},
volume = {36},
year = {1996},
number = {3},
pages = {499--518},
issn = {0023-608X},
mrclass = {60H07 (60H10 60J60 65C20)},
mrnumber = {1417823},
mrreviewer = {Denis Talay},
doi = {10.1215/kjm/1250518506},
url = {https://doi.org/10.1215/kjm/1250518506}
}
@Article{ hu.xi:21:estimation,
author = {Hu, Yaozhong and Xi, Yuejuan},
title = {Estimation of all parameters in the reflected
{O}rnstein-{U}hlenbeck process from discrete observations},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {174},
year = {2021},
pages = {Paper No. 109099, 8},
issn = {0167-7152},
mrclass = {62M05 (62F12)},
mrnumber = {4241641},
doi = {10.1016/j.spl.2021.109099},
url = {https://doi.org/10.1016/j.spl.2021.109099}
}
@Article{ hu.xi:22:parameter,
author = {Hu, Yaozhong and Xi, Yuejuan},
title = {Parameter estimation for threshold {O}rnstein-{U}hlenbeck
processes from discrete observations},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {411},
year = {2022},
pages = {Paper No. 114264, 17},
issn = {0377-0427,1879-1778},
mrclass = {62M05 (62F12)},
mrnumber = {4400030},
mrreviewer = {Snje\v{z}ana\ Lubura Strunjak},
doi = {10.1016/j.cam.2022.114264},
url = {https://doi.org/10.1016/j.cam.2022.114264}
}
@Article{ hu.yan:09:wick,
author = {Hu, Yao-zhong and Yan, Jia-an},
title = {Wick calculus for nonlinear {G}aussian functionals},
journal = {Acta Math. Appl. Sin. Engl. Ser.},
fjournal = {Acta Mathematicae Applicatae Sinica. English Series},
volume = {25},
year = {2009},
number = {3},
pages = {399--414},
issn = {0168-9673},
mrclass = {60G15 (60H05 60H07 60H40)},
mrnumber = {2506982},
mrreviewer = {Dora Sele\v{s}i},
doi = {10.1007/s10255-008-8808-0},
url = {https://doi.org/10.1007/s10255-008-8808-0}
}
@Article{ hu.yang:12:optimal,
author = {Hu, Yaozhong and Yang, Changli},
title = {Optimal tracking for bilinear stochastic system driven by
fractional {B}rownian motions},
journal = {J. Syst. Sci. Complex.},
fjournal = {Journal of Systems Science \& Complexity},
volume = {25},
year = {2012},
number = {2},
pages = {238--248},
issn = {1009-6124},
mrclass = {93E03 (60G22 60G35 93B52)},
mrnumber = {2909805},
doi = {10.1007/s11424-012-9254-x},
url = {https://doi.org/10.1007/s11424-012-9254-x}
}
@Article{ hu.zhang:22:functional,
author = {Hu, Yaozhong and Zhang, Junxi},
title = {Functional central limit theorems for stick-breaking
priors},
journal = {Bayesian Anal.},
fjournal = {Bayesian Analysis},
volume = {17},
year = {2022},
number = {4},
pages = {1101--1120},
issn = {1936-0975,1931-6690},
mrclass = {60G57 (60F05 60F15 60F17 62F15 62G20)},
mrnumber = {4506023},
mrreviewer = {Paulo\ E.\ Oliveira},
doi = {10.1214/21-ba1290},
url = {https://doi.org/10.1214/21-ba1290}
}
@Article{ hu.zhou:05:stochastic,
author = {Hu, Yaozhong and Zhou, Xun Yu},
title = {Stochastic control for linear systems driven by fractional
noises},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {43},
year = {2005},
number = {6},
pages = {2245--2277},
issn = {0363-0129},
mrclass = {93E20 (49J55 60H05 60H07 60H30)},
mrnumber = {2179486},
mrreviewer = {Viorica M. Ungureanu},
doi = {10.1137/S0363012903426045},
url = {https://doi.org/10.1137/S0363012903426045}
}
@InCollection{ hu:00:class,
author = {Hu, Yaozhong},
title = {A class of {SPDE} driven by fractional white noise},
booktitle = {Stochastic processes, physics and geometry: new
interplays, {II} ({L}eipzig, 1999)},
series = {CMS Conf. Proc.},
volume = {29},
pages = {317--325},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {60H15},
mrnumber = {1803425},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel}
}
@Article{ hu:00:multi-dimensional,
author = {Hu, Yaozhong},
title = {Multi-dimensional geometric {B}rownian motions,
{O}nsager-{M}achlup functions, and applications to
mathematical finance},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {20},
year = {2000},
number = {3},
pages = {341--358},
issn = {0252-9602},
mrclass = {60H10 (60H30 60J65 91B28)},
mrnumber = {1793207},
mrreviewer = {Eddy Mayer-Wolf},
doi = {10.1016/S0252-9602(17)30641-0},
url = {https://doi.org/10.1016/S0252-9602(17)30641-0}
}
@Article{ hu:00:optimal,
author = {Hu, Yaozhong},
title = {Optimal times to observe in the {K}alman-{B}ucy models},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {69},
year = {2000},
number = {1-2},
pages = {123--140},
issn = {1045-1129},
mrclass = {60H10 (60G35 60H05 93E11)},
mrnumber = {1751722},
doi = {10.1080/17442500008834236},
url = {https://doi.org/10.1080/17442500008834236}
}
@InCollection{ hu:00:unified,
author = {Hu, Yaozhong},
title = {A unified approach to several inequalities for {G}aussian
and diffusion measures},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXXIV}},
series = {Lecture Notes in Math.},
volume = {1729},
pages = {329--335},
publisher = {Springer, Berlin},
year = {2000},
mrclass = {60J60 (60E15 60G15 60K35)},
mrnumber = {1768072},
doi = {10.1007/BFb0103811},
url = {https://doi.org/10.1007/BFb0103811}
}
@Article{ hu:01:heat,
author = {Hu, Y.},
title = {Heat equations with fractional white noise potentials},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {43},
year = {2001},
number = {3},
pages = {221--243},
issn = {0095-4616},
mrclass = {60H15 (35K05 35R60 60H05 60H40)},
mrnumber = {1885698},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s00245-001-0001-2},
url = {https://doi.org/10.1007/s00245-001-0001-2}
}
@InCollection{ hu:01:prediction,
author = {Hu, Yaozhong},
title = {Prediction and translation of fractional {B}rownian
motions},
booktitle = {Stochastics in finite and infinite dimensions},
series = {Trends Math.},
pages = {153--171},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2001},
mrclass = {60H15 (60G60 60H05)},
mrnumber = {1797086},
mrreviewer = {V. V. Anh}
}
@Article{ hu:01:self-intersection,
author = {Hu, Yaozhong},
title = {Self-intersection local time of fractional {B}rownian
motions---via chaos expansion},
journal = {J. Math. Kyoto Univ.},
fjournal = {Journal of Mathematics of Kyoto University},
volume = {41},
year = {2001},
number = {2},
pages = {233--250},
issn = {0023-608X},
mrclass = {60G18 (60G15 60G17)},
mrnumber = {1852981},
mrreviewer = {Zbigniew Michna},
doi = {10.1215/kjm/1250517630},
url = {https://doi.org/10.1215/kjm/1250517630}
}
@Article{ hu:02:chaos,
author = {Hu, Yaozhong},
title = {Chaos expansion of heat equations with white noise
potentials},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {16},
year = {2002},
number = {1},
pages = {45--66},
issn = {0926-2601},
mrclass = {60H15 (35K05 35R60 60G60 60H07 60H40)},
mrnumber = {1880347},
mrreviewer = {Rimas Norvai\v{s}a},
doi = {10.1023/A:1024878703232},
url = {https://doi.org/10.1023/A:1024878703232}
}
@InCollection{ hu:02:option,
author = {Hu, Yaozhong},
title = {Option pricing in a market where the volatility is driven
by fractional {B}rownian motions},
booktitle = {Recent developments in mathematical finance ({S}hanghai,
2001)},
pages = {49--59},
publisher = {World Sci. Publ., River Edge, NJ},
year = {2002},
mrclass = {91B28 (60H10)},
mrnumber = {1882291},
doi = {10.1142/9789812799579\_0005},
url = {https://doi.org/10.1142/9789812799579_0005}
}
@Article{ hu:02:probability,
author = {Hu, Yaozhong},
title = {Probability structure preserving and absolute continuity},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {38},
year = {2002},
number = {4},
pages = {557--580},
issn = {0246-0203},
mrclass = {60H05 (60B11 60H07 60H15)},
mrnumber = {1914939},
mrreviewer = {T. N. Pham},
doi = {10.1016/S0246-0203(01)01104-9},
url = {https://doi.org/10.1016/S0246-0203(01)01104-9}
}
@InCollection{ hu:04:optimal,
author = {Hu, Yaozhong},
title = {Optimal consumption and portfolio in a market where the
volatility is driven by fractional {B}rownian motion},
booktitle = {Probability, finance and insurance},
pages = {164--173},
publisher = {World Sci. Publ., River Edge, NJ},
year = {2004},
mrclass = {60H30 (60H10 91B28)},
mrnumber = {2189205},
mrreviewer = {Josef Teichmann}
}
@InCollection{ hu:04:optimization,
author = {Hu, Yaozhong},
title = {Optimization of consumption and portfolio and minimization
of volatility},
booktitle = {Mathematics of finance},
series = {Contemp. Math.},
volume = {351},
pages = {199--206},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2004},
mrclass = {60H05 (49L20 60G15 91B28 93E20)},
mrnumber = {2076541},
mrreviewer = {Ingo Fahrner},
doi = {10.1090/conm/351/06403},
url = {https://doi.org/10.1090/conm/351/06403}
}
@Article{ hu:05:integral,
author = {Hu, Yaozhong},
title = {Integral transformations and anticipative calculus for
fractional {B}rownian motions},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {175},
year = {2005},
number = {825},
pages = {viii+127},
issn = {0065-9266},
mrclass = {60G15 (26A33 44A15)},
mrnumber = {2130224},
mrreviewer = {H. Vishnu Hebbar},
doi = {10.1090/memo/0825},
url = {https://doi.org/10.1090/memo/0825}
}
@Article{ hu:10:random,
author = {Hu, Yaozhong},
title = {A random transport-diffusion equation},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {30},
year = {2010},
number = {6},
pages = {2033--2050},
issn = {0252-9602},
mrclass = {60H15 (60H10)},
mrnumber = {2779188},
mrreviewer = {Leszek Gawarecki},
doi = {10.1016/S0252-9602(10)60189-0},
url = {https://doi.org/10.1016/S0252-9602(10)60189-0}
}
@Article{ hu:11:enlargement,
author = {Hu, Yaozhong},
title = {An enlargement of filtration for {B}rownian motion},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {31},
year = {2011},
number = {5},
pages = {1671--1678},
issn = {0252-9602},
mrclass = {60J65 (60G44 91G80)},
mrnumber = {2884941},
mrreviewer = {Raouf Ghomrasni},
doi = {10.1016/S0252-9602(11)60352-4},
url = {https://doi.org/10.1016/S0252-9602(11)60352-4}
}
@Article{ hu:12:stochastic,
author = {Hu, YaoZhong},
title = {Stochastic quantization and ergodic theorem for density of
diffusions},
journal = {Sci. China Math.},
fjournal = {Science China. Mathematics},
volume = {55},
year = {2012},
number = {11},
pages = {2285--2296},
issn = {1674-7283},
mrclass = {60H10 (37A30 60H07 60J55 81S20)},
mrnumber = {2994120},
mrreviewer = {Peter Imkeller},
doi = {10.1007/s11425-012-4523-7},
url = {https://doi.org/10.1007/s11425-012-4523-7}
}
@Article{ hu:13:multiple,
author = {Hu, Yaozhong},
title = {Multiple integrals and expansion of solutions of
differential equations driven by rough paths and by
fractional {B}rownian motions},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {85},
year = {2013},
number = {5},
pages = {859--916},
issn = {1744-2508},
mrclass = {60H10 (26A33 60G22 60H07 60H30)},
mrnumber = {3176491},
mrreviewer = {Sebastian Riedel},
doi = {10.1080/17442508.2012.673615},
url = {https://doi.org/10.1080/17442508.2012.673615}
}
@Book{ hu:15:fractional,
author = {Hu, Guannan},
title = {Fractional diffusion in {G}aussian noisy environment},
note = {Thesis (Ph.D.)--University of Kansas},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2015},
pages = {121},
isbn = {978-1339-43299-1},
mrclass = {Thesis},
mrnumber = {3474618},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:10005032}
}
@Book{ hu:17:analysis,
author = {Hu, Yaozhong},
title = {Analysis on {G}aussian spaces},
publisher = {World Scientific Publishing Co. Pte. Ltd., Hackensack,
NJ},
year = {2017},
pages = {xi+470},
isbn = {978-981-3142-17-6},
mrclass = {60G15 (28C20 46-02 46E27 60B11 60H07 60Hxx)},
mrnumber = {3585910},
mrreviewer = {Jan van Neerven}
}
@Article{ hu:18:ito,
author = {Hu, Yaozhong},
title = {It\^{o} type stochastic differential equations driven by
fractional {B}rownian motions of {H}urst parameter
{$H>1/2$}},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {90},
year = {2018},
number = {5},
pages = {720--761},
issn = {1744-2508},
mrclass = {60H10 (60G22 60H07)},
mrnumber = {3810579},
mrreviewer = {Qidi Peng},
doi = {10.1080/17442508.2017.1415342},
url = {https://doi.org/10.1080/17442508.2017.1415342}
}
@Article{ hu:18:schrodinger,
author = {Hu, Y.},
title = {Schr\"{o}dinger equation with {G}aussian potential},
journal = {Teor. u{I}mov\={i}r. Mat. Stat.},
fjournal = {Teor\={i}ya u{I}mov\={i}rnosteu{i} ta Matematichna
Statistika. Ki\"{i}vs{\cprime}kiu{i} Un\={i}versitet
\={i}meni Tarasa Shevchenka},
year = {2018},
number = {98},
pages = {109--120},
issn = {0868-6904},
mrclass = {60H15 (35J10 35R60 60G15 60G22)},
mrnumber = {3824682},
mrreviewer = {Xiliang Fan},
doi = {10.1090/tpms/1066},
url = {https://doi.org/10.1090/tpms/1066}
}
@Article{ hu:19:preface,
author = {Hu, Yaozhong},
title = {Preface [{S}pecial issue on stochastic partial
differential equations]},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {39},
year = {2019},
number = {3},
pages = {627--628},
issn = {0252-9602},
mrclass = {60-06 (35R60 60H15)},
mrnumber = {4066496},
doi = {10.1007/s10473-019-0301-8},
url = {https://doi.org/10.1007/s10473-019-0301-8}
}
@Article{ hu:19:some,
author = {Hu, Yaozhong},
title = {Some recent progress on stochastic heat equations},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {39},
year = {2019},
number = {3},
pages = {874--914},
issn = {0252-9602},
mrclass = {60H15 (35K15 35R60 60-02 60G15 60G22 60H07)},
mrnumber = {4066510},
doi = {10.1007/s10473-019-0315-2},
url = {https://doi.org/10.1007/s10473-019-0315-2}
}
@Article{ hu:86:stochastic,
author = {Hu, Yao Zhong},
title = {Stochastic analysis of the stochastic functional on the
basic space},
journal = {Acta Math. Sci. (English Ed.)},
fjournal = {Acta Mathematica Scientia. English Edition. Shuxue Wuli
Xuebao},
volume = {6},
year = {1986},
number = {1},
pages = {67--74},
issn = {0252-9602},
mrclass = {60H07 (60H05)},
mrnumber = {924670},
mrreviewer = {David Nualart},
doi = {10.1016/S0252-9602(18)30534-4},
url = {https://doi.org/10.1016/S0252-9602(18)30534-4}
}
@InCollection{ hu:88:nouvel,
author = {Hu, Yao Zhong},
title = {Un nouvel exemple de distribution de {H}ida},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXII}},
series = {Lecture Notes in Math.},
volume = {1321},
pages = {82--84},
publisher = {Springer, Berlin},
year = {1988},
mrclass = {60J65 (28C20)},
mrnumber = {960510},
mrreviewer = {Sheng Wu He},
doi = {10.1007/BFb0084120},
url = {https://doi.org/10.1007/BFb0084120}
}
@Article{ hu:89:some,
author = {Hu, Yao Zhong},
title = {Some notes on multiple {S}tratonovitch integrals},
journal = {Acta Math. Sci. (English Ed.)},
fjournal = {Acta Mathematica Scientia. English Edition. Shuxue Wuli
Xuebao},
volume = {9},
year = {1989},
number = {4},
pages = {453--462},
issn = {0252-9602},
mrclass = {60H05},
mrnumber = {1054504},
mrreviewer = {Marta Sanz Sol\'{e}},
doi = {10.1016/S0252-9602(18)30371-0},
url = {https://doi.org/10.1016/S0252-9602(18)30371-0}
}
@InCollection{ hu:90:calculs,
author = {Hu, Yao Zhong},
title = {Calculs formels sur les {EDS} de {S}tratonovitch},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIV}, 1988/89},
series = {Lecture Notes in Math.},
volume = {1426},
pages = {453--460},
publisher = {Springer, Berlin},
year = {1990},
mrclass = {60H10},
mrnumber = {1071561},
mrreviewer = {G\'{e}rard Ben Arous},
doi = {10.1007/BFb0083786},
url = {https://doi.org/10.1007/BFb0083786}
}
@Article{ hu:90:symmetric,
author = {Hu, Yao Zhong},
title = {Symmetric integral and canonical extension for jump
process---some combinatorial results},
journal = {Acta Math. Sci. (English Ed.)},
fjournal = {Acta Mathematica Scientia. English Edition. Shuxue Wuli
Xuebao},
volume = {10},
year = {1990},
number = {4},
pages = {448--458},
issn = {0252-9602},
mrclass = {60H05},
mrnumber = {1107373},
mrreviewer = {Marta Sanz Sol\'{e}},
doi = {10.1016/S0252-9602(18)30419-3},
url = {https://doi.org/10.1016/S0252-9602(18)30419-3}
}
@Book{ hu:92:existence,
author = {Hu, Yao Zhong},
title = {Existence de traces dans les d\'{e}veloppements en chaos
de {W}iener},
series = {Publication de l'Institut de Recherche Math\'{e}matique
Avanc\'{e}e [Publication of the Institute of Advanced
Mathematical Research]},
volume = {480},
note = {Dissertation, Universit\'{e} Louis Pasteur, Strasbourg,
1992},
publisher = {Universit\'{e} Louis Pasteur, D\'{e}partement de
Math\'{e}matique, Institut de Recherche Math\'{e}matique
Avanc\'{e}e, Strasbourg},
year = {1992},
pages = {77},
mrclass = {60H05 (60G20 60H07)},
mrnumber = {1179160}
}
@InCollection{ hu:92:formule,
author = {Hu, Yao Zhong},
title = {Une formule d'{I}t\^{o} pour le mouvement brownien
fermionique},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXVI}},
series = {Lecture Notes in Math.},
volume = {1526},
pages = {575--578},
publisher = {Springer, Berlin},
year = {1992},
mrclass = {81S25},
mrnumber = {1232019},
mrreviewer = {Robin Hudson},
doi = {10.1007/BFb0084346},
url = {https://doi.org/10.1007/BFb0084346}
}
@InCollection{ hu:92:remarque,
author = {Hu, Yao Zhong},
title = {Une remarque sur l'in\'{e}galit\'{e} de {H}\"{o}lder non
commutative},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXVI}},
series = {Lecture Notes in Math.},
volume = {1526},
pages = {595},
publisher = {Springer, Berlin},
year = {1992},
mrclass = {46L50},
mrnumber = {1232022},
doi = {10.1007/BFb0084349},
url = {https://doi.org/10.1007/BFb0084349}
}
@InCollection{ hu:92:serie,
author = {Hu, Yao Zhong},
title = {S\'{e}rie de {T}aylor stochastique et formule de
{C}ampbell-{H}ausdorff, d'apr\`es {B}en {A}rous},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXVI}},
series = {Lecture Notes in Math.},
volume = {1526},
pages = {579--586},
publisher = {Springer, Berlin},
year = {1992},
mrclass = {60H10},
mrnumber = {1232020},
mrreviewer = {Fabienne Castell},
doi = {10.1007/BFb0084347},
url = {https://doi.org/10.1007/BFb0084347}
}
@InCollection{ hu:92:sur,
author = {Hu, Yao Zhong},
title = {Sur un travail de {R}. {C}armona et {D}. {N}ualart},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXVI}},
series = {Lecture Notes in Math.},
volume = {1526},
pages = {587--594},
publisher = {Springer, Berlin},
year = {1992},
mrclass = {60H05},
mrnumber = {1232021},
mrreviewer = {David Nualart},
doi = {10.1007/BFb0084348},
url = {https://doi.org/10.1007/BFb0084348}
}
@InCollection{ hu:93:calculation,
author = {Hu, Yao Zhong},
title = {Calculation of {F}eynman path integral for certain central
forces},
booktitle = {Stochastic analysis and related topics ({O}slo, 1992)},
series = {Stochastics Monogr.},
volume = {8},
pages = {161--171},
publisher = {Gordon and Breach, Montreux},
year = {1993},
mrclass = {60J65},
mrnumber = {1268011},
mrreviewer = {Sheng Wu He}
}
@InCollection{ hu:93:hypercontractivite,
author = {Hu, Yao Zhong},
title = {Hypercontractivit\'{e} pour les fermions, d'apr\`es
{C}arlen-{L}ieb},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXVII}},
series = {Lecture Notes in Math.},
volume = {1557},
pages = {86--96},
publisher = {Springer, Berlin},
year = {1993},
mrclass = {81S25 (46L60 46N50)},
mrnumber = {1308555},
mrreviewer = {Franco Fagnola},
doi = {10.1007/BFb0087966},
url = {https://doi.org/10.1007/BFb0087966}
}
@Article{ hu:93:pathwise,
author = {Hu, Yao Zhong},
title = {The pathwise solution for a class of quasilinear
stochastic equations of evolution in {B}anach space.
{III}},
journal = {Acta Math. Sci. (English Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {13},
year = {1993},
number = {1},
pages = {13--22},
issn = {0252-9602},
mrclass = {34G20 (34A45 34F05 47H99 47N20 60H10)},
mrnumber = {1220706},
doi = {10.1016/S0252-9602(18)30186-3},
url = {https://doi.org/10.1016/S0252-9602(18)30186-3}
}
@InCollection{ hu:93:remark,
author = {Hu, Yao Zhong},
title = {A remark on the value on zero of {B}rownian functional},
booktitle = {Stochastic analysis and related topics ({O}slo, 1992)},
series = {Stochastics Monogr.},
volume = {8},
pages = {173--175},
publisher = {Gordon and Breach, Montreux},
year = {1993},
mrclass = {60J65},
mrnumber = {1268012},
mrreviewer = {Sheng Wu He}
}
@Article{ hu:94:pathwise,
author = {Hu, Yao Zhong},
title = {The pathwise solution for a class of quasilinear
stochastic differential equation in {B}anach spaces. {I}},
journal = {Acta Math. Sci. (English Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {14},
year = {1994},
number = {4},
pages = {461--474},
issn = {0252-9602},
mrclass = {60H10 (34F05 34G20 35R60 46G12)},
mrnumber = {1302060},
mrreviewer = {Constantin Tudor},
doi = {10.1016/S0252-9602(18)30136-X},
url = {https://doi.org/10.1016/S0252-9602(18)30136-X}
}
@InCollection{ hu:94:some,
author = {Hu, Yao Zhong},
title = {Some operator inequalities},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXVIII}},
series = {Lecture Notes in Math.},
volume = {1583},
pages = {316--333},
publisher = {Springer, Berlin},
year = {1994},
mrclass = {47A63 (46L99 60H30)},
mrnumber = {1329122},
mrreviewer = {Frank Hansen},
doi = {10.1007/BFb0073855},
url = {https://doi.org/10.1007/BFb0073855}
}
@InCollection{ hu:95:on,
author = {Hu, YaoZhong},
title = {On the differentiability of functions of an operator.
{A}ddendum to: ``{S}ome operator inequalities'' [in {it
{S}\'{e}minaire de {P}robabilit\'{e}s, {XXVIII}}, 316--333,
{L}ecture {N}otes in {M}ath., 1583, {S}pringer, {B}erlin,
1994; {MR}1329122 (96c:47021)]},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIX}},
series = {Lecture Notes in Math.},
volume = {1613},
pages = {218--219},
publisher = {Springer, Berlin},
year = {1995},
mrclass = {47A63 (47A60 60H30)},
mrnumber = {1459462},
doi = {10.1007/BFb0094213},
url = {https://doi.org/10.1007/BFb0094213}
}
@Article{ hu:95:pathwise,
author = {Hu, Yao Zhong},
title = {The pathwise solution for a class of quasilinear
stochastic equations of evolution in {B}anach space. {II}},
journal = {Acta Math. Sci. (English Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {15},
year = {1995},
number = {3},
pages = {264--274},
issn = {0252-9602},
mrclass = {60H15 (34F05 34G10)},
mrnumber = {1356049},
mrreviewer = {Constantin Tudor},
doi = {10.1016/S0252-9602(18)30048-1},
url = {https://doi.org/10.1016/S0252-9602(18)30048-1}
}
@Article{ hu:96:on,
author = {Hu, Yaozhong},
title = {On the self-intersection local time of {B}rownian
motion-via chaos expansion},
journal = {Publ. Mat.},
fjournal = {Publicacions Matem\`atiques},
volume = {40},
year = {1996},
number = {2},
pages = {337--350},
issn = {0214-1493},
mrclass = {60J65 (60G60 60H07 60J55)},
mrnumber = {1425622},
mrreviewer = {Peter Imkeller},
doi = {10.5565/PUBLMAT\_40296\_06},
url = {https://doi.org/10.5565/PUBLMAT_40296_06}
}
@InCollection{ hu:96:semi-implicit,
author = {Hu, Yaozhong},
title = {Semi-implicit {E}uler-{M}aruyama scheme for stiff
stochastic equations},
booktitle = {Stochastic analysis and related topics, {V} ({S}ilivri,
1994)},
series = {Progr. Probab.},
volume = {38},
pages = {183--202},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1996},
mrclass = {60H10 (65L05 65U05)},
mrnumber = {1396331},
mrreviewer = {Shigetoku Kawabata}
}
@InCollection{ hu:96:strong,
author = {Hu, Yaozhong},
title = {Strong and weak order of time discretization schemes of
stochastic differential equations},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXX}},
series = {Lecture Notes in Math.},
volume = {1626},
pages = {218--227},
publisher = {Springer, Berlin},
year = {1996},
mrclass = {60H10 (65U05)},
mrnumber = {1459485},
doi = {10.1007/BFb0094650},
url = {https://doi.org/10.1007/BFb0094650}
}
@Article{ hu:97:ito-wiener,
author = {Hu, Yaozhong},
title = {It\^{o}-{W}iener chaos expansion with exact residual and
correlation, variance inequalities},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {10},
year = {1997},
number = {4},
pages = {835--848},
issn = {0894-9840},
mrclass = {60H10 (60E15 60G15 60J60)},
mrnumber = {1481650},
mrreviewer = {Christian Houdr\'{e}},
doi = {10.1023/A:1022654314791},
url = {https://doi.org/10.1023/A:1022654314791}
}
@Article{ hu:98:on,
author = {Hu, Yaozhong},
title = {On the positivity of the solution of a class of stochastic
pressure equations},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {63},
year = {1998},
number = {1-2},
pages = {27--40},
issn = {1045-1129},
mrclass = {60H15 (35R60 60H07)},
mrnumber = {1639772},
doi = {10.1080/17442509808834141},
url = {https://doi.org/10.1080/17442509808834141}
}
@InCollection{ hu:99:exponential,
author = {Hu, Yaozhong},
title = {Exponential integrability of diffusion processes},
booktitle = {Advances in stochastic inequalities ({A}tlanta, {GA},
1997)},
series = {Contemp. Math.},
volume = {234},
pages = {75--84},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1999},
mrclass = {60J60 (60J35)},
mrnumber = {1694764},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1090/conm/234/03446},
url = {https://doi.org/10.1090/conm/234/03446}
}
@Article{ huang.dikin.ea:04:three-dimensional,
author = {Huang, Z. and Dikin, D. A. and Ding, W. and Qiao, Y. and
Chen, X. and Fridman, Y. and Ruoff, R. S.},
title = {Three-dimensional representation of curved nanowires},
journal = {J. Microsc.},
fjournal = {Journal of Microscopy},
volume = {216},
year = {2004},
number = {3},
pages = {206--214},
issn = {0022-2720},
mrclass = {Expansion},
mrnumber = {2086418},
doi = {10.1111/j.0022-2720.2004.01418.x},
url = {https://doi.org/10.1111/j.0022-2720.2004.01418.x}
}
@Article{ huang.khoshnevisan:17:on,
author = {Huang, Jingyu and Khoshnevisan, Davar},
title = {On the multifractal local behavior of parabolic stochastic
{PDE}s},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {22},
year = {2017},
pages = {Paper No. 49, 11},
mrclass = {60H15 (35R60 60G17)},
mrnumber = {3710805},
mrreviewer = {Paul Andr\'{e} Razafimandimby},
doi = {10.1214/17-ECP86},
url = {https://doi.org/10.1214/17-ECP86}
}
@Article{ huang.khoshnevisan:20:analysis,
author = {Huang, Jingyu and Khoshnevisan, Davar},
title = {Analysis of a stratified {K}raichnan flow},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {25},
year = {2020},
pages = {Paper No. 122, 67},
mrclass = {60H15 (28A80 35R60 60K37)},
mrnumber = {4161132},
mrreviewer = {Xinghua Zheng},
doi = {10.1214/20-ejp524},
url = {https://doi.org/10.1214/20-ejp524}
}
@Article{ huang.kuksin:21:on,
author = {Huang, Guan and Kuksin, Sergei},
title = {On the energy transfer to high frequencies in the
damped/driven nonlinear {S}chr\"{o}dinger equation},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {9},
year = {2021},
number = {4},
pages = {867--891},
issn = {2194-0401},
mrclass = {35R60},
mrnumber = {4333505},
doi = {10.1007/s40072-020-00187-2},
url = {https://doi.org/10.1007/s40072-020-00187-2}
}
@Article{ huang.le.ea:17:large,
author = {Huang, Jingyu and L\^{e}, Khoa and Nualart, David},
title = {Large time asymptotics for the parabolic {A}nderson model
driven by space and time correlated noise},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {5},
year = {2017},
number = {4},
pages = {614--651},
issn = {2194-0401},
mrclass = {60G15 (35B40 35K15 35R60 60F10 60H07 60H15 65M75)},
mrnumber = {3736656},
mrreviewer = {Xia Chen},
doi = {10.1007/s40072-017-0099-0},
url = {https://doi.org/10.1007/s40072-017-0099-0}
}
@Article{ huang.le.ea:17:large*1,
author = {Huang, Jingyu and L\^{e}, Khoa and Nualart, David},
title = {Large time asymptotics for the parabolic {A}nderson model
driven by spatially correlated noise},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {53},
year = {2017},
number = {3},
pages = {1305--1340},
issn = {0246-0203},
mrclass = {60G15 (60F10 60H07 60H15 65M75)},
mrnumber = {3689969},
mrreviewer = {Xia Chen},
doi = {10.1214/16-AIHP756},
url = {https://doi.org/10.1214/16-AIHP756}
}
@Article{ huang.le:19:spatial,
author = {Huang, Jingyu and L\^{e}, Khoa},
title = {Spatial asymptotic of the stochastic heat equation with
compactly supported initial data},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {7},
year = {2019},
number = {3},
pages = {495--539},
issn = {2194-0401},
mrclass = {60H15 (35K15 35R60 60F10 60G15 60G60)},
mrnumber = {3993252},
mrreviewer = {Leila Setayeshgar},
doi = {10.1007/s40072-019-00133-x},
url = {https://doi.org/10.1007/s40072-019-00133-x}
}
@Article{ huang.nualart.ea:20:central,
author = {Huang, Jingyu and Nualart, David and Viitasaari, Lauri},
title = {A central limit theorem for the stochastic heat equation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {130},
year = {2020},
number = {12},
pages = {7170--7184},
issn = {0304-4149},
mrclass = {60H15 (60F05 60G15 60H07)},
mrnumber = {4167203},
mrreviewer = {Zhi Wang},
doi = {10.1016/j.spa.2020.07.010},
url = {https://doi.org/10.1016/j.spa.2020.07.010}
}
@Article{ huang.nualart.ea:20:gaussian,
author = {Huang, Jingyu and Nualart, David and Viitasaari, Lauri and
Zheng, Guangqu},
title = {Gaussian fluctuations for the stochastic heat equation
with colored noise},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {8},
year = {2020},
number = {2},
pages = {402--421},
issn = {2194-0401},
mrclass = {60H15 (35K91 35R60 60F05 60F17 60G15 60H07)},
mrnumber = {4098872},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1007/s40072-019-00149-3},
url = {https://doi.org/10.1007/s40072-019-00149-3}
}
@Article{ huang.qiu:21:microscopic,
author = {Huang, Hui and Qiu, Jinniao},
title = {The microscopic derivation and well-posedness of the
stochastic {K}eller-{S}egel equation},
journal = {J. Nonlinear Sci.},
fjournal = {Journal of Nonlinear Science},
volume = {31},
year = {2021},
number = {1},
pages = {Paper No. 6, 31},
issn = {0938-8974},
mrclass = {65M75 (35K55 60H15 60H30)},
mrnumber = {4192425},
mrreviewer = {Arbaz Khan},
doi = {10.1007/s00332-020-09661-6},
url = {https://doi.org/10.1007/s00332-020-09661-6}
}
@Article{ huang.rhodes.ea:18:liouville,
author = {Huang, Yichao and Rhodes, R\'emi and Vargas, Vincent},
title = {Liouville quantum gravity on the unit disk},
journal = {Ann. Inst. Henri Poincar\'e{} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'e{} Probabilit\'es et
Statistiques},
volume = {54},
year = {2018},
number = {3},
pages = {1694--1730},
issn = {0246-0203,1778-7017},
mrclass = {60D05 (81T20 81T40)},
mrnumber = {3825895},
doi = {10.1214/17-AIHP852},
url = {https://doi.org/10.1214/17-AIHP852}
}
@Article{ huang.shen:09:pullback,
author = {Huang, Jianhua and Shen, Wenxian},
title = {Pullback attractors for nonautonomous and random parabolic
equations on non-smooth domains},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {24},
year = {2009},
number = {3},
pages = {855--882},
issn = {1078-0947,1553-5231},
mrclass = {35B41 (35K55 35K58 35R60 37L30 37L55)},
mrnumber = {2505685},
mrreviewer = {Bruno\ J.\ Scarpellini},
doi = {10.3934/dcds.2009.24.855},
url = {https://doi.org/10.3934/dcds.2009.24.855}
}
@Article{ huang.shen:09:speeds,
author = {Huang, Jianhua and Shen, Wenxian},
title = {Speeds of spread and propagation of {KPP} models in time
almost and space periodic media},
journal = {SIAM J. Appl. Dyn. Syst.},
fjournal = {SIAM Journal on Applied Dynamical Systems},
volume = {8},
year = {2009},
number = {3},
pages = {790--821},
issn = {1536-0040},
mrclass = {35K55 (35B15 92D25)},
mrnumber = {2533625},
doi = {10.1137/080723259},
url = {https://doi.org/10.1137/080723259}
}
@Article{ huang.shen:10:global,
author = {Huang, Jianhua and Shen, Wenxian},
title = {Global attractors for partly dissipative random/stochastic
reaction diffusion systems},
journal = {Int. J. Evol. Equ.},
fjournal = {International Journal of Evolution Equations},
volume = {4},
year = {2010},
number = {4},
pages = {383--411},
issn = {1549-2907},
mrclass = {37L30 (35B41 35K51 35R60 60H15)},
mrnumber = {2780316},
mrreviewer = {Tom\'{a}s\ Caraballo}
}
@Book{ huang:15:stochastic,
author = {Huang, Jingyu},
title = {Stochastic partial differential equations driven by
colored noise},
note = {Thesis (Ph.D.)--University of Kansas},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2015},
pages = {294},
isbn = {978-1321-81057-8},
mrclass = {Thesis},
mrnumber = {3389156},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3706836}
}
@Article{ huang:17:on,
author = {Huang, Jingyu},
title = {On stochastic heat equation with measure initial data},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {22},
year = {2017},
pages = {Paper No. 40, 6},
mrclass = {60H15 (35R06 35R60 60G60)},
mrnumber = {3685238},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1214/17-ECP71},
url = {https://doi.org/10.1214/17-ECP71}
}
@Article{ huckemann.mattingly.ea:15:sticky,
author = {Huckemann, Stephan and Mattingly, Jonathan C. and Miller,
Ezra and Nolen, James},
title = {Sticky central limit theorems at isolated hyperbolic
planar singularities},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {20},
year = {2015},
pages = {no. 78, 34},
issn = {1083-6489},
mrclass = {60F05 (58C35 60D05)},
mrnumber = {3371437},
doi = {10.1214/EJP.v20-3887},
url = {https://doi.org/10.1214/EJP.v20-3887}
}
@Article{ huergo.pasquale.ea:10:morphology,
title = {Morphology and dynamic scaling analysis of cell colonies
with linear growth fronts},
author = {Huergo, M. A. C. and Pasquale, M. A. and Bolz\'an, A. E.
and Arvia, A. J. and Gonz\'alez, P. H.},
journal = {Phys. Rev. E},
volume = {82},
issue = {3},
pages = {031903},
numpages = {11},
year = {2010},
month = {Sep},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.82.031903},
url = {https://link.aps.org/doi/10.1103/PhysRevE.82.031903}
}
@Article{ hughes.martinez-torres.ea:25:dissipative,
author = {Hughes, Jack M. and Martinez-Torres, Cristina and Beta,
Carsten and Edelstein-Keshet, Leah and Yochelis, Arik},
title = {A dissipative mass conserved reaction-diffusion system
reveals switching between coexisting polar and oscillatory
cell motility states},
journal = {Chaos},
fjournal = {Chaos. An Interdisciplinary Journal of Nonlinear Science},
volume = {35},
year = {2025},
number = {5},
pages = {Paper No. 051103, 7},
issn = {1054-1500},
mrclass = {92C37},
mrnumber = {4912106},
doi = {10.1063/5.0274689},
url = {https://doi.org/10.1063/5.0274689}
}
@InCollection{ hundertmark:08:short,
author = {Hundertmark, Dirk},
title = {A short introduction to {A}nderson localization},
booktitle = {Analysis and stochastics of growth processes and interface
models},
pages = {194--218},
publisher = {Oxford Univ. Press, Oxford},
year = {2008},
mrclass = {82B44 (60H25 60K37 82-02)},
mrnumber = {2603225},
mrreviewer = {Aernout C. D. van Enter},
doi = {10.1093/acprof:oso/9780199239252.003.0009},
url = {https://doi.org/10.1093/acprof:oso/9780199239252.003.0009}
}
@Article{ hunziker.sigal:00:quantum,
author = {Hunziker, W. and Sigal, I. M.},
title = {The quantum {$N$}-body problem},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {41},
year = {2000},
number = {6},
pages = {3448--3510},
issn = {0022-2488},
mrclass = {81U10 (47N50 81-02 81Q10)},
mrnumber = {1768629},
mrreviewer = {Hiroshi Isozaki},
doi = {10.1063/1.533319},
url = {https://doi.org/10.1063/1.533319}
}
@Article{ huse.fisher:84:commensurate,
author = {Huse, David A. and Fisher, Michael E.},
title = {Commensurate melting, domain walls, and dislocations},
journal = {Phys. Rev. B (3)},
fjournal = {Physical Review. B. Condensed Matter. Third Series},
volume = {29},
year = {1984},
number = {1},
pages = {239--270},
issn = {0163-1829},
mrclass = {82A25 (82A55)},
mrnumber = {729979},
mrreviewer = {A. K. Rajagopal},
doi = {10.1103/physrevb.29.239},
url = {https://doi.org/10.1103/physrevb.29.239}
}
@Article{ huse.henley:85:pinning,
title = {Pinning and Roughening of Domain Walls in Ising Systems
Due to Random Impurities},
author = {Huse, David A. and Henley, Christopher L.},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {54},
issue = {25},
pages = {2708--2711},
numpages = {0},
year = {1985},
month = {Jun},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.54.2708},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.54.2708}
}
@InCollection{ husler:89:first,
author = {H\"{u}sler, J\"{u}rg},
title = {First zeros of empirical characteristic functions and
extreme values of {G}aussian processes},
booktitle = {Statistical data analysis and inference ({N}euch\^{a}tel,
1989)},
pages = {177--182},
publisher = {North-Holland, Amsterdam},
year = {1989},
mrclass = {60G15},
mrnumber = {1089633}
}
@Article{ hutchcroft:18:hammersley-welsh,
author = {Hutchcroft, Tom},
title = {The {H}ammersley-{W}elsh bound for self-avoiding walk
revisited},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {23},
year = {2018},
pages = {Paper No. 5, 8},
mrclass = {60K35 (05C81)},
mrnumber = {3771763},
mrreviewer = {Jonathan Henry Jordan},
doi = {10.1214/17-ECP94},
url = {https://doi.org/10.1214/17-ECP94}
}
@Article{ hutson.shen.ea:01:estimates,
author = {Hutson, V. and Shen, W. and Vickers, G. T.},
title = {Estimates for the principal spectrum point for certain
time-dependent parabolic operators},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {129},
year = {2001},
number = {6},
pages = {1669--1679},
issn = {0002-9939,1088-6826},
mrclass = {35P15 (35B10 35K20 92D25)},
mrnumber = {1814096},
mrreviewer = {Vladimir\ Tulovsky},
doi = {10.1090/S0002-9939-00-05808-1},
url = {https://doi.org/10.1090/S0002-9939-00-05808-1}
}
@Article{ hutson.shen.ea:08:spectral,
author = {Hutson, V. and Shen, W. and Vickers, G. T.},
title = {Spectral theory for nonlocal dispersal with periodic or
almost-periodic time dependence},
journal = {Rocky Mountain J. Math.},
fjournal = {The Rocky Mountain Journal of Mathematics},
volume = {38},
year = {2008},
number = {4},
pages = {1147--1175},
issn = {0035-7596,1945-3795},
mrclass = {47N20 (35K90 35P99 45K05 47G20)},
mrnumber = {2436718},
mrreviewer = {Reinhard\ B\"{u}rger},
doi = {10.1216/RMJ-2008-38-4-1147},
url = {https://doi.org/10.1216/RMJ-2008-38-4-1147}
}
@Book{ hytonen.neerven.ea:16:analysis,
author = {Hyt\"onen, Tuomas and van Neerven, Jan and Veraar, Mark
and Weis, Lutz},
title = {Analysis in {B}anach spaces. {V}ol. {I}. {M}artingales and
{L}ittlewood-{P}aley theory},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3.
Folge. A Series of Modern Surveys in Mathematics [Results
in Mathematics and Related Areas. 3rd Series. A Series of
Modern Surveys in Mathematics]},
volume = {63},
publisher = {Springer, Cham},
year = {2016},
pages = {xvi+614},
isbn = {978-3-319-48519-5; 978-3-319-48520-1},
mrclass = {46-02 (42B35 46E30)},
mrnumber = {3617205},
mrreviewer = {Adam\ Os\polhk ekowski}
}
@Book{ hytonen.neerven.ea:17:analysis,
author = {Hyt\"onen, Tuomas and van Neerven, Jan and Veraar, Mark
and Weis, Lutz},
title = {Analysis in {B}anach spaces. {V}ol. {II}. {P}robabilistic
methods and operator theory},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3.
Folge. A Series of Modern Surveys in Mathematics [Results
in Mathematics and Related Areas. 3rd Series. A Series of
Modern Surveys in Mathematics]},
volume = {67},
publisher = {Springer, Cham},
year = {2017},
pages = {xxi+616},
isbn = {978-3-319-69807-6; 978-3-319-69808-3},
mrclass = {46-02 (42B35 46E30 47-02 60B11 60H30)},
mrnumber = {3752640},
mrreviewer = {Adam\ Os\polhk ekowski},
doi = {10.1007/978-3-319-69808-3},
url = {https://doi.org/10.1007/978-3-319-69808-3}
}
@Book{ hytonen.neerven.ea:23:analysis,
author = {Hyt\"onen, Tuomas and van Neerven, Jan and Veraar, Mark
and Weis, Lutz},
title = {Analysis in {B}anach spaces. {V}ol. {III}. {H}armonic
analysis and spectral theory},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3.
Folge. A Series of Modern Surveys in Mathematics [Results
in Mathematics and Related Areas. 3rd Series. A Series of
Modern Surveys in Mathematics]},
volume = {76},
publisher = {Springer, Cham},
year = {[2023] \copyright 2023},
pages = {xxi+826},
isbn = {978-3-031-46597-0; 978-3-031-46598-7},
mrclass = {46-02 (35Kxx 42Bxx 46Bxx 46Exx)},
mrnumber = {4696978},
mrreviewer = {Pierre\ Portal},
doi = {10.1007/978-3-031-46598-7},
url = {https://doi.org/10.1007/978-3-031-46598-7}
}
@Article{ hytonen.veraar:08:on,
author = {Hyt\"onen, Tuomas P. and Veraar, Mark C.},
title = {On {B}esov regularity of {B}rownian motions in infinite
dimensions},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {28},
year = {2008},
number = {1},
pages = {143--162},
issn = {0208-4147,2300-8113},
mrclass = {60J65 (46E35 46N30 60G17)},
mrnumber = {2445509}
}
@Article{ hytonen.veraar:09:r-boundedness,
author = {Hyt\"onen, Tuomas and Veraar, Mark},
title = {{$R$}-boundedness of smooth operator-valued functions},
journal = {Integral Equations Operator Theory},
fjournal = {Integral Equations and Operator Theory},
volume = {63},
year = {2009},
number = {3},
pages = {373--402},
issn = {0378-620X,1420-8989},
mrclass = {47A56 (46B20 47B10 47B99 47D06 60B05)},
mrnumber = {2491037},
mrreviewer = {Pierre\ Portal},
doi = {10.1007/s00020-009-1663-4},
url = {https://doi.org/10.1007/s00020-009-1663-4}
}
@Article{ ibragimov.lifshits:99:on,
author = {Ibragimov, I. A. and Lifshits, M. A.},
title = {On limit theorems of ``almost sure'' type},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Teoriya Veroyatnosteu{i} i
ee Primeneniya},
volume = {44},
year = {1999},
number = {2},
pages = {328--350},
issn = {0040-361X},
mrclass = {60F15 (60F05)},
mrnumber = {1751476},
mrreviewer = {Zheng Yan Lin},
doi = {10.1137/S0040585X97977562},
url = {https://doi.org/10.1137/S0040585X97977562}
}
@Article{ ibragimov.zeitouni:97:on,
author = {Ibragimov, Ildar and Zeitouni, Ofer},
title = {On roots of random polynomials},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {349},
year = {1997},
number = {6},
pages = {2427--2441},
issn = {0002-9947,1088-6850},
mrclass = {60G99 (26C10 30B20 60F05)},
mrnumber = {1390040},
mrreviewer = {Kambiz\ Farahmand},
doi = {10.1090/S0002-9947-97-01766-2},
url = {https://doi.org/10.1090/S0002-9947-97-01766-2}
}
@Article{ ibragimov:62:some,
author = {Ibragimov, I. A.},
title = {Some limit theorems for stationary processes},
journal = {Teor. Verojatnost. i Primenen.},
fjournal = {Akademija Nauk SSSR. Teorija Verojatnosteu{i} i ee
Primenenija},
volume = {7},
year = {1962},
pages = {361--392},
issn = {0040-361x},
mrclass = {60.50 (60.30)},
mrnumber = {148125},
mrreviewer = {K. Balagangadharan}
}
@Article{ ibrahim-kurt.shen:21:finite-time,
author = {Ibrahim Kurt, Halil and Shen, Wenxian},
title = {Finite-time blow-up prevention by logistic source in
parabolic-elliptic chemotaxis models with singular
sensitivity in any dimensional setting},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {53},
year = {2021},
number = {1},
pages = {973--1003},
issn = {0036-1410,1095-7154},
mrclass = {35K51 (35K57 35Q92 92C17)},
mrnumber = {4212880},
doi = {10.1137/20M1356609},
url = {https://doi.org/10.1137/20M1356609}
}
@Article{ igloi.terdik:99:bilinear,
author = {Igl\'{o}i, E. and Terdik, Gy.},
title = {Bilinear stochastic systems with fractional {B}rownian
motion input},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {9},
year = {1999},
number = {1},
pages = {46--77},
issn = {1050-5164},
mrclass = {60H10 (60H05 62M15 93E03)},
mrnumber = {1682600},
mrreviewer = {Bohdan Maslowski},
doi = {10.1214/aoap/1029962597},
url = {https://doi.org/10.1214/aoap/1029962597}
}
@Article{ ignat.otto.ea:23:variational,
author = {Ignat, Radu and Otto, Felix and Ried, Tobias and
Tsatsoulis, Pavlos},
title = {Variational methods for a singular {SPDE} yielding the
universality of the magnetization ripple},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {76},
year = {2023},
number = {11},
pages = {2959--3043},
issn = {0010-3640},
mrclass = {60H17 (35A15 78A30 82D40)},
mrnumber = {4642814},
doi = {10.1002/cpa.22093},
url = {https://doi.org/10.1002/cpa.22093}
}
@Book{ ikeda.nualart.ea:12:malliavin,
author = {Ikeda, Nobuyuki and Nualart, David and Stroock, Daniel
W.},
title = {Malliavin calculus at {S}aint-{F}lour},
series = {Probability at Saint-Flour},
publisher = {Springer, Heidelberg},
year = {2012},
pages = {xiii+346},
isbn = {978-3-642-25931-9},
mrclass = {60-06 (60H07 60H15)},
mrnumber = {3075400}
}
@Book{ ikeda.watanabe:81:stochastic,
author = {Ikeda, Nobuyuki and Watanabe, Shinzo},
title = {Stochastic differential equations and diffusion
processes},
series = {North-Holland Mathematical Library},
volume = {24},
publisher = {North-Holland Publishing Co., Amsterdam-New York;
Kodansha, Ltd., Tokyo},
year = {1981},
pages = {xiv+464},
isbn = {0-444-86172-6},
mrclass = {60H10 (34F05 58G32 60J60)},
mrnumber = {637061},
mrreviewer = {D. Kannan}
}
@Book{ ikeda.watanabe:89:stochastic,
author = {Ikeda, Nobuyuki and Watanabe, Shinzo},
title = {Stochastic differential equations and diffusion
processes},
series = {North-Holland Mathematical Library},
volume = {24},
edition = {Second},
publisher = {North-Holland Publishing Co., Amsterdam; Kodansha, Ltd.,
Tokyo},
year = {1989},
pages = {xvi+555},
isbn = {0-444-87378-3},
mrclass = {60H10 (58G32 60J60)},
mrnumber = {1011252}
}
@Article{ ikedo:63:asymptotic,
author = {Ikedo, Sadao},
title = {Asymptotic equivalence of probability distributions with
applications to some problems of asymptotic independence},
journal = {Ann. Inst. Statist. Math.},
fjournal = {Annals of the Institute of Statistical Mathematics},
volume = {15},
year = {1963},
pages = {87--116},
issn = {0020-3157},
mrclass = {60.30 (60.75)},
mrnumber = {171295},
mrreviewer = {S. Kullback},
doi = {10.1007/BF02865908},
url = {https://doi.org/10.1007/BF02865908}
}
@Article{ ikhlef.cardy:09:discretely,
author = {Ikhlef, Yacine and Cardy, John},
title = {Discretely holomorphic parafermions and integrable loop
models},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {42},
year = {2009},
number = {10},
pages = {102001, 11},
issn = {1751-8113},
mrclass = {82B20 (81R12 81T40 82B23)},
mrnumber = {2485852},
mrreviewer = {Nenad Manojlovi\'{c}},
doi = {10.1088/1751-8113/42/10/102001},
url = {https://doi.org/10.1088/1751-8113/42/10/102001}
}
@Article{ imamura.sasamoto:04:fluctuations,
author = {Imamura, T. and Sasamoto, T.},
title = {Fluctuations of the one-dimensional polynuclear growth
model with external sources},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {699},
year = {2004},
number = {3},
pages = {503--544},
issn = {0550-3213},
mrclass = {82C41 (60K35 82C23)},
mrnumber = {2098552},
mrreviewer = {Michael Pr\"{a}hofer},
doi = {10.1016/j.nuclphysb.2004.07.030},
url = {https://doi.org/10.1016/j.nuclphysb.2004.07.030}
}
@Article{ imamura.sasamoto:11:replica,
author = {Imamura, Takashi and Sasamoto, Tomohiro},
title = {Replica approach to the {KPZ} equation with the half
{B}rownian motion initial condition},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {44},
year = {2011},
number = {38},
pages = {385001, 29},
issn = {1751-8113},
mrclass = {82C22 (60B20 60K35 82C44)},
mrnumber = {2835150},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves},
doi = {10.1088/1751-8113/44/38/385001},
url = {https://doi.org/10.1088/1751-8113/44/38/385001}
}
@Article{ imamura.sasamoto:13:stationary,
author = {Imamura, Takashi and Sasamoto, Tomohiro},
title = {Stationary correlations for the 1{D} {KPZ} equation},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {150},
year = {2013},
number = {5},
pages = {908--939},
issn = {0022-4715},
mrclass = {82C22 (35C05 35K59 35R60 60K35)},
mrnumber = {3028391},
mrreviewer = {Patr\'{\i}cia Gon\c{c}alves},
doi = {10.1007/s10955-013-0710-3},
url = {https://doi.org/10.1007/s10955-013-0710-3}
}
@Article{ imamura.sasamoto:16:determinantal,
author = {Imamura, Takashi and Sasamoto, Tomohiro},
title = {Determinantal structures in the {O}'{C}onnell-{Y}or
directed random polymer model},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {163},
year = {2016},
number = {4},
pages = {675--713},
issn = {0022-4715},
mrclass = {82D60},
mrnumber = {3488569},
mrreviewer = {Rafael Silva Sasportes},
doi = {10.1007/s10955-016-1492-1},
url = {https://doi.org/10.1007/s10955-016-1492-1}
}
@Article{ imbrie.spencer:88:diffusion,
author = {Imbrie, J. Z. and Spencer, T.},
title = {Diffusion of directed polymers in a random environment},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {52},
year = {1988},
number = {3-4},
pages = {609--626},
issn = {0022-4715},
mrclass = {60K35 (82A41 82A51)},
mrnumber = {968950},
mrreviewer = {J. Theodore Cox},
doi = {10.1007/BF01019720},
url = {https://doi.org/10.1007/BF01019720}
}
@Article{ imdad.zhang:14:pricing,
author = {Imdad, Zaheer and Zhang, Tusheng},
title = {Pricing {E}uropean options in a delay model with jumps},
journal = {Int. J. Financ. Eng.},
fjournal = {International Journal of Financial Engineering},
volume = {1},
year = {2014},
number = {4},
pages = {1450032, 13},
issn = {2424-7863},
mrclass = {91G20},
mrnumber = {3943016},
doi = {10.1142/s2345768614500329},
url = {https://doi.org/10.1142/s2345768614500329}
}
@Article{ imkeller.nualart:93:continuity,
author = {Imkeller, Peter and Nualart, David},
title = {Continuity of the occupation density for anticipating
stochastic integral processes},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {2},
year = {1993},
number = {2},
pages = {137--155},
issn = {0926-2601},
mrclass = {60H05},
mrnumber = {1246747},
mrreviewer = {Daniel Ocone},
doi = {10.1007/BF01049298},
url = {https://doi.org/10.1007/BF01049298}
}
@Article{ imkeller.nualart:94:integration,
author = {Imkeller, Peter and Nualart, David},
title = {Integration by parts on {W}iener space and the existence
of occupation densities},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {1},
pages = {469--493},
issn = {0091-1798},
mrclass = {60H07},
mrnumber = {1258887},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
url = {http://links.jstor.org/sici?sici=0091-1798(199401)22:1<469:IBPOWS>2.0.CO;2-N&origin=MSN}
}
@Book{ ince:44:ordinary,
author = {Ince, E. L.},
title = {Ordinary {D}ifferential {E}quations},
publisher = {Dover Publications, New York},
year = {1944},
pages = {viii+558},
mrclass = {36.0X},
mrnumber = {0010757}
}
@Article{ iorio:86:on,
author = {I\'{o}rio, Jr., Rafael Jos\'{e}},
title = {On the {C}auchy problem for the {B}enjamin-{O}no
equation},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {11},
year = {1986},
number = {10},
pages = {1031--1081},
issn = {0360-5302},
mrclass = {35B40 (35K55 35Q20)},
mrnumber = {847994},
mrreviewer = {Bjorn Birnir},
doi = {10.1080/03605308608820456},
url = {https://doi.org/10.1080/03605308608820456}
}
@InCollection{ isacker:61:generalized,
author = {van \.{I}sacker, J.},
title = {Generalized harmonic analysis},
booktitle = {Advances in {G}eophysics, {V}ol. 7},
pages = {189--214},
publisher = {Academic Press, New York},
year = {1961},
mrclass = {62.85},
mrnumber = {0139246},
mrreviewer = {W. Freiberger}
}
@Article{ iscoe:88:on,
author = {Iscoe, I.},
title = {On the supports of measure-valued critical branching
{B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {16},
year = {1988},
number = {1},
pages = {200--221},
issn = {0091-1798},
mrclass = {60G57 (34B15 60J80)},
mrnumber = {920265},
mrreviewer = {Ralf Manthey},
url = {http://links.jstor.org/sici?sici=0091-1798(198801)16:1<200:OTSOMC>2.0.CO;2-Z&origin=MSN}
}
@Article{ ishida.ono.ea:13:possibility,
author = {Ishida, Sachiko and Ono, Takashi and Yokota, Tomomi},
title = {Possibility of the existence of blow-up solutions to
quasilinear degenerate {K}eller-{S}egel systems of
parabolic-parabolic type},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {36},
year = {2013},
number = {7},
pages = {745--760},
issn = {0170-4214},
mrclass = {35K51 (35A01 35B44)},
mrnumber = {3056933},
doi = {10.1002/mma.2622},
url = {https://doi.org/10.1002/mma.2622}
}
@Article{ ishida.seki.ea:14:boundedness,
author = {Ishida, Sachiko and Seki, Kiyotaka and Yokota, Tomomi},
title = {Boundedness in quasilinear {K}eller-{S}egel systems of
parabolic-parabolic type on non-convex bounded domains},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {256},
year = {2014},
number = {8},
pages = {2993--3010},
issn = {0022-0396},
mrclass = {35K51 (35A01 35B35 35B45)},
mrnumber = {3199754},
doi = {10.1016/j.jde.2014.01.028},
url = {https://doi.org/10.1016/j.jde.2014.01.028}
}
@Article{ ishida.yokota:12:global,
author = {Ishida, Sachiko and Yokota, Tomomi},
title = {Global existence of weak solutions to quasilinear
degenerate {K}eller-{S}egel systems of parabolic-parabolic
type with small data},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {252},
year = {2012},
number = {3},
pages = {2469--2491},
issn = {0022-0396},
mrclass = {35K45 (35A01 35A35 35B45 35D30 35K59)},
mrnumber = {2860626},
mrreviewer = {Lidia Sk\'{o}ra},
doi = {10.1016/j.jde.2011.08.047},
url = {https://doi.org/10.1016/j.jde.2011.08.047}
}
@Article{ ishida.yokota:12:global*1,
author = {Ishida, Sachiko and Yokota, Tomomi},
title = {Global existence of weak solutions to quasilinear
degenerate {K}eller-{S}egel systems of parabolic-parabolic
type},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {252},
year = {2012},
number = {2},
pages = {1421--1440},
issn = {0022-0396},
mrclass = {35K45 (35A01 35B33 35D30 35K59)},
mrnumber = {2853545},
mrreviewer = {Adrian Muntean},
doi = {10.1016/j.jde.2011.02.012},
url = {https://doi.org/10.1016/j.jde.2011.02.012}
}
@Article{ ishida.yokota:13:blow-up,
author = {Ishida, Sachiko and Yokota, Tomomi},
title = {Blow-up in finite or infinite time for quasilinear
degenerate {K}eller-{S}egel systems of parabolic-parabolic
type},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {18},
year = {2013},
number = {10},
pages = {2569--2596},
issn = {1531-3492},
mrclass = {35K51 (35B33 35B44 35K57 35K59 35K61 35K65)},
mrnumber = {3124753},
mrreviewer = {Daniela Giachetti},
doi = {10.3934/dcdsb.2013.18.2569},
url = {https://doi.org/10.3934/dcdsb.2013.18.2569}
}
@Article{ isogami.matsushita:92:structural,
author = {Isogami, Sadao and Matsushita, Mitsugu},
title = {Structural and Statistical Properties of Self-Avoiding
Fractional Brownian Motion},
journal = {J. Phys. Soc. Jpn.},
fjournal = {Journal of the Physical Society of Japan},
volume = {61},
number = {5},
pages = {1445--1448},
year = {1992},
doi = {10.1143/JPSJ.61.1445},
url = {https://doi.org/10.1143/JPSJ.61.1445},
eprint = {https://doi.org/10.1143/JPSJ.61.1445}
}
@Article{ issa.salako.ea:21:traveling,
author = {Issa, T. B. and Salako, R. B. and Shen, W.},
title = {Traveling wave solutions for two species competitive
chemotaxis systems},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {212},
year = {2021},
pages = {Paper No. 112480, 25},
issn = {0362-546X,1873-5215},
mrclass = {35B35 (35B40 35K57 35Q92 92C17)},
mrnumber = {4285038},
mrreviewer = {Mihaela\ Negreanu},
doi = {10.1016/j.na.2021.112480},
url = {https://doi.org/10.1016/j.na.2021.112480}
}
@Article{ issa.shen:17:dynamics,
author = {Issa, Tahir Bachar and Shen, Wenxian},
title = {Dynamics in chemotaxis models of parabolic-elliptic type
on bounded domain with time and space dependent logistic
sources},
journal = {SIAM J. Appl. Dyn. Syst.},
fjournal = {SIAM Journal on Applied Dynamical Systems},
volume = {16},
year = {2017},
number = {2},
pages = {926--973},
issn = {1536-0040},
mrclass = {92C17 (35B08 35B10 35B15 35B35 35B40 35K57 35Q92)},
mrnumber = {3648963},
mrreviewer = {Tomasz\ Cie\'{s}lak},
doi = {10.1137/16M1092428},
url = {https://doi.org/10.1137/16M1092428}
}
@Article{ issa.shen:19:persistence,
author = {Issa, Tahir Bachar and Shen, Wenxian},
title = {Persistence, coexistence and extinction in two species
chemotaxis models on bounded heterogeneous environments},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {31},
year = {2019},
number = {4},
pages = {1839--1871},
issn = {1040-7294,1572-9222},
mrclass = {92C17 (35A09 35B08 35K57 35M33 35Q92)},
mrnumber = {4028556},
doi = {10.1007/s10884-018-9686-7},
url = {https://doi.org/10.1007/s10884-018-9686-7}
}
@Article{ issa.shen:19:uniqueness,
author = {Issa, Tahir Bachar and Shen, Wenxian},
title = {Uniqueness and stability of coexistence states in two
species models with/without chemotaxis on bounded
heterogeneous environments},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {31},
year = {2019},
number = {4},
pages = {2305--2338},
issn = {1040-7294,1572-9222},
mrclass = {92C17 (35B35 35B40 35M33 35Q92)},
mrnumber = {4028576},
doi = {10.1007/s10884-018-9706-7},
url = {https://doi.org/10.1007/s10884-018-9706-7}
}
@Article{ issa.shen:20:pointwise,
author = {Issa, Tahir Bachar and Shen, Wenxian},
title = {Pointwise persistence in full chemotaxis models with
logistic source on bounded heterogeneous environments},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {490},
year = {2020},
number = {1},
pages = {124204, 30},
issn = {0022-247X,1096-0813},
mrclass = {35K51 (35B08 35B51 35Q92 92C17)},
mrnumber = {4097949},
doi = {10.1016/j.jmaa.2020.124204},
url = {https://doi.org/10.1016/j.jmaa.2020.124204}
}
@Book{ ito.mckean:74:diffusion,
author = {It\^{o}, Kiyosi and McKean, Jr., Henry P.},
title = {Diffusion processes and their sample paths},
series = {Die Grundlehren der mathematischen Wissenschaften, Band
125},
note = {Second printing, corrected},
publisher = {Springer-Verlag, Berlin-New York},
year = {1974},
pages = {xv+321},
mrclass = {60J60 (60G17 60J70)},
mrnumber = {0345224}
}
@Article{ ito.nisio:68:on,
author = {It\^{o}, Kiyosi and Nisio, Makiko},
title = {On the convergence of sums of independent {B}anach space
valued random variables},
journal = {Osaka Math. J.},
fjournal = {Osaka Mathematical Journal},
volume = {5},
year = {1968},
pages = {35--48},
issn = {0388-0699},
mrclass = {60.08},
mrnumber = {235593},
mrreviewer = {S. M. Samuels},
url = {http://projecteuclid.org/euclid.ojm/1200692040}
}
@Article{ ito:44:stochastic,
author = {It\^{o}, Kiyosi},
title = {Stochastic integral},
journal = {Proc. Imp. Acad. Tokyo},
fjournal = {Proceedings of the Imperial Academy. Tokyo},
volume = {20},
year = {1944},
pages = {519--524},
issn = {0369-9846},
mrclass = {60.0X},
mrnumber = {14633},
mrreviewer = {J. L. Doob},
url = {http://projecteuclid.org/euclid.pja/1195572786}
}
@InCollection{ its.tracy.ea:01:random,
author = {Its, Alexander R. and Tracy, Craig A. and Widom, Harold},
title = {Random words, {T}oeplitz determinants, and integrable
systems. {I}},
booktitle = {Random matrix models and their applications},
series = {Math. Sci. Res. Inst. Publ.},
volume = {40},
pages = {245--258},
publisher = {Cambridge Univ. Press, Cambridge},
year = {2001},
mrclass = {82B41 (05A99 37B99 37K10 47B35 60C05)},
mrnumber = {1842789},
mrreviewer = {Estelle L. Basor}
}
@InCollection{ its.tracy.ea:01:random*1,
author = {Its, Alexander R. and Tracy, Craig A. and Widom, Harold},
title = {Random words, {T}oeplitz determinants and integrable
systems. {II}},
note = {Advances in nonlinear mathematics and science},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {152/153},
year = {2001},
pages = {199--224},
issn = {0167-2789},
mrclass = {82B41 (34M55 35Q58 37K10 82B44)},
mrnumber = {1837910},
mrreviewer = {Martin V. Hildebrand},
doi = {10.1016/S0167-2789(01)00171-3},
url = {https://doi.org/10.1016/S0167-2789(01)00171-3}
}
@InCollection{ its:11:painleve,
author = {Its, Alexander R.},
title = {Painlev\'{e} transcendents},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {176--197},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {33-02 (15B52 33E17)},
mrnumber = {2932629},
mrreviewer = {Diego E. Dominici}
}
@Article{ ivanhoe.salins:25:preventing,
author = {Ivanhoe, John and Salins, Michael},
title = {Preventing finite-time blowup in a constrained potential
for reaction-diffusion equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {185},
year = {2025},
pages = {Paper No. 104627, 11},
issn = {0304-4149,1879-209X},
mrclass = {60H15 (35B44 35K20 35K57 35R60)},
mrnumber = {4878890},
doi = {10.1016/j.spa.2025.104627},
url = {https://doi.org/10.1016/j.spa.2025.104627}
}
@Article{ iwata:87:infinite-dimensional,
author = {Iwata, Koichiro},
title = {An infinite-dimensional stochastic differential equation
with state space {$C({\bf R})$}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {74},
year = {1987},
number = {1},
pages = {141--159},
issn = {0178-8051},
mrclass = {60H10 (60J60 81E08 82A05)},
mrnumber = {863723},
doi = {10.1007/BF01845644},
url = {https://doi.org/10.1007/BF01845644}
}
@Article{ iwatsuka.fukai.ea:20:direct,
title = {Direct Evidence for Universal Statistics of Stationary
Kardar-Parisi-Zhang Interfaces},
author = {Iwatsuka, Takayasu and Fukai, Yohsuke T. and Takeuchi,
Kazumasa A.},
journal = {Phys. Rev. Lett.},
volume = {124},
issue = {25},
pages = {250602},
numpages = {6},
year = {2020},
month = {Jun},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.124.250602},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.124.250602}
}
@Article{ iyer.mattingly:08:stochastic-lagrangian,
author = {Iyer, Gautam and Mattingly, Jonathan},
title = {A stochastic-{L}agrangian particle system for the
{N}avier-{S}tokes equations},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {21},
year = {2008},
number = {11},
pages = {2537--2553},
issn = {0951-7715,1361-6544},
mrclass = {76D05 (35Q30 35R60 60H10 60H30)},
mrnumber = {2448230},
mrreviewer = {Benedetta\ Ferrario},
doi = {10.1088/0951-7715/21/11/004},
url = {https://doi.org/10.1088/0951-7715/21/11/004}
}
@Article{ iyer.xu.ea:21:convection-induced,
author = {Iyer, Gautam and Xu, Xiaoqian and Zlato\v{s}, Andrej},
title = {Convection-induced singularity suppression in the
{K}eller-{S}egel and other non-linear {PDE}s},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {374},
year = {2021},
number = {9},
pages = {6039--6058},
issn = {0002-9947},
mrclass = {35B44 (76R05)},
mrnumber = {4302154},
doi = {10.1090/tran/8195},
url = {https://doi.org/10.1090/tran/8195}
}
@Article{ jaakkola.singh.ea:95:reinforcement,
title = {Reinforcement learning algorithm for partially observable
{Markov} decision problems},
author = {Jaakkola, Tommi and Singh, Satinder P and Jordan, Michael
I},
journal = {Advances in Neural Information Processing Systems},
pages = {345--352},
year = {1995},
publisher = {MORGAN KAUFMANN PUBLISHERS}
}
@Article{ jabbarzadeh.abrams:05:chemotaxis,
author = {Jabbarzadeh, Ehsan and Abrams, Cameron F.},
title = {Chemotaxis and random motility in unsteady chemoattractant
fields: a computational study},
journal = {J. Theoret. Biol.},
fjournal = {Journal of Theoretical Biology},
volume = {235},
year = {2005},
number = {2},
pages = {221--232},
issn = {0022-5193},
mrclass = {92C17 (60G50)},
mrnumber = {2157749},
doi = {10.1016/j.jtbi.2005.01.005},
url = {https://doi.org/10.1016/j.jtbi.2005.01.005}
}
@Article{ jabin.wang:18:quantitative,
author = {Jabin, Pierre-Emmanuel and Wang, Zhenfu},
title = {Quantitative estimates of propagation of chaos for
stochastic systems with {$W^{-1,\infty}$} kernels},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {214},
year = {2018},
number = {1},
pages = {523--591},
issn = {0020-9910},
mrclass = {35Q30 (35R60 60F10 60F17 60H10 60K35 76R99)},
mrnumber = {3858403},
mrreviewer = {Paul Andr\'{e} Razafimandimby},
doi = {10.1007/s00222-018-0808-y},
url = {https://doi.org/10.1007/s00222-018-0808-y}
}
@Article{ jabin:14:review,
author = {Jabin, Pierre-Emmanuel},
title = {A review of the mean field limits for {V}lasov equations},
journal = {Kinet. Relat. Models},
fjournal = {Kinetic and Related Models},
volume = {7},
year = {2014},
number = {4},
pages = {661--711},
issn = {1937-5093},
mrclass = {82C22 (35Q82 35Q83)},
mrnumber = {3317577},
doi = {10.3934/krm.2014.7.661},
url = {https://doi.org/10.3934/krm.2014.7.661}
}
@Article{ jacka.tribe:03:comparisons,
author = {Jacka, Saul and Tribe, Roger},
title = {Comparisons for measure valued processes with
interactions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {3},
pages = {1679--1712},
issn = {0091-1798},
mrclass = {60G57 (49Q20 60J60 60J80 93E20)},
mrnumber = {1989447},
mrreviewer = {S. N. Ethier},
doi = {10.1214/aop/1055425794},
url = {https://doi.org/10.1214/aop/1055425794}
}
@Article{ jacod.kluppelberg.ea:12:functional,
author = {Jacod, Jean and Kl\"{u}ppelberg, Claudia and M\"{u}ller,
Gernot},
title = {Functional relationships between price and volatility
jumps and their consequences for discretely observed data},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {49},
year = {2012},
number = {4},
pages = {901--914},
issn = {0021-9002},
mrclass = {60G48 (60H30 62G10 62M02 91B70 91G70)},
mrnumber = {3058978},
mrreviewer = {John P. Lehoczky},
doi = {10.1017/s0021900200012778},
url = {https://doi.org/10.1017/s0021900200012778}
}
@Book{ jacod.shiryaev:03:limit,
author = {Jacod, Jean and Shiryaev, Albert N.},
title = {Limit theorems for stochastic processes},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {288},
edition = {Second},
publisher = {Springer-Verlag, Berlin},
year = {2003},
pages = {xx+661},
isbn = {3-540-43932-3},
mrclass = {60-02 (60F17 60G48 60H05)},
mrnumber = {1943877},
mrreviewer = {Dominique L\'{e}pingle},
doi = {10.1007/978-3-662-05265-5},
url = {https://doi.org/10.1007/978-3-662-05265-5}
}
@Book{ jacod.shiryaev:87:limit,
author = {Jacod, Jean and Shiryaev, Albert N.},
title = {Limit theorems for stochastic processes},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {288},
publisher = {Springer-Verlag, Berlin},
year = {1987},
pages = {xviii+601},
isbn = {3-540-17882-1},
mrclass = {60F17 (60-02 60G48)},
mrnumber = {959133},
mrreviewer = {Dominique L\'{e}pingle},
doi = {10.1007/978-3-662-02514-7},
url = {https://doi.org/10.1007/978-3-662-02514-7}
}
@Book{ jacod:79:calcul,
author = {Jacod, Jean},
title = {Calcul stochastique et probl\`emes de martingales},
series = {Lecture Notes in Mathematics},
volume = {714},
publisher = {Springer, Berlin},
year = {1979},
pages = {x+539},
isbn = {3-540-09253-6},
mrclass = {60G44 (60G42 60H05)},
mrnumber = {542115},
mrreviewer = {Yu. M. Kabanov}
}
@Article{ jager.luckhaus:92:on,
author = {J\"{a}ger, W. and Luckhaus, S.},
title = {On explosions of solutions to a system of partial
differential equations modelling chemotaxis},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {329},
year = {1992},
number = {2},
pages = {819--824},
issn = {0002-9947},
mrclass = {35Q80 (35B05 92C45)},
mrnumber = {1046835},
mrreviewer = {Gaston E. Hernandez},
doi = {10.2307/2153966},
url = {https://doi.org/10.2307/2153966}
}
@Article{ jain.mathur:92:world-sheet,
author = {Jain, Sanjay and Mathur, Samir D.},
title = {World-sheet geometry and baby universes in {$2$}{D}
quantum gravity},
journal = {Phys. Lett. B},
fjournal = {Physics Letters. B. Particle Physics, Nuclear Physics and
Cosmology},
volume = {286},
year = {1992},
number = {3-4},
pages = {239--246},
issn = {0370-2693},
mrclass = {81T40 (81V17)},
mrnumber = {1175135},
doi = {10.1016/0370-2693(92)91769-6},
url = {https://doi.org/10.1016/0370-2693(92)91769-6}
}
@Article{ jakab.mitrea.ea:07:traces,
author = {Jakab, T\"{u}nde and Mitrea, Irina and Mitrea, Marius},
title = {Traces of functions in {H}ardy and {B}esov spaces on
{L}ipschitz domains with applications to compensated
compactness and the theory of {H}ardy and {B}ergman type
spaces},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {246},
year = {2007},
number = {1},
pages = {50--112},
issn = {0022-1236},
mrclass = {46E35 (35A25 42B20 46E30 47F05)},
mrnumber = {2316877},
mrreviewer = {Juha K. Kinnunen},
doi = {10.1016/j.jfa.2007.01.004},
url = {https://doi.org/10.1016/j.jfa.2007.01.004}
}
@InCollection{ jakab.mitrea.ea:09:sobolev,
author = {Jakab, T\"{u}nde and Mitrea, Irina and Mitrea, Marius},
title = {Sobolev estimates for the {G}reen potential associated
with the {R}obin-{L}aplacian in {L}ipschitz domains
satisfying a uniform exterior ball condition},
booktitle = {Sobolev spaces in mathematics. {II}},
series = {Int. Math. Ser. (N. Y.)},
volume = {9},
pages = {227--260},
publisher = {Springer, New York},
year = {2009},
mrclass = {35J08 (31B15 35J25 46E35)},
mrnumber = {2484628},
mrreviewer = {Lavi Karp},
doi = {10.1007/978-0-387-85650-6\_11},
url = {https://doi.org/10.1007/978-0-387-85650-6_11}
}
@Article{ jakubowski.zabczyk:07:exponential,
author = {Jakubowski, Jacek and Zabczyk, Jerzy},
title = {Exponential moments for {HJM} models with jumps},
journal = {Finance Stoch.},
fjournal = {Finance and Stochastics},
volume = {11},
year = {2007},
number = {3},
pages = {429--445},
issn = {0949-2984},
mrclass = {91B28 (60G51 60H10 60H30)},
mrnumber = {2322920},
doi = {10.1007/s00780-007-0040-x},
url = {https://doi.org/10.1007/s00780-007-0040-x}
}
@Book{ jakubowski:91:asymptotic,
title = {Asymptotic independent representations for sums and order
statistics of stationary sequences},
author = {Jakubowski, Adam},
year = {1991},
publisher = {Published by the author},
url = {http://www-users.mat.uni.torun.pl/~adjakubo/hab.pdf}
}
@Article{ james:64:distributions,
author = {James, Alan T.},
title = {Distributions of matrix variates and latent roots derived
from normal samples},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {35},
year = {1964},
pages = {475--501},
issn = {0003-4851},
mrclass = {62.40},
mrnumber = {181057},
mrreviewer = {I. Olkin},
doi = {10.1214/aoms/1177703550},
url = {https://doi.org/10.1214/aoms/1177703550}
}
@Article{ jameson:15:simple,
author = {Jameson, G. J. O.},
title = {A simple proof of {S}tirling's formula for the gamma
function},
journal = {Math. Gaz.},
fjournal = {The Mathematical Gazette},
volume = {99},
year = {2015},
number = {544},
pages = {68--74},
issn = {0025-5572},
mrclass = {05A16},
mrnumber = {3414044},
mrreviewer = {Steven Joel Miller},
doi = {10.1017/mag.2014.9},
url = {https://doi.org/10.1017/mag.2014.9}
}
@Article{ jan-en:10:limit,
author = {Jan\ss en, Anja},
title = {Limit laws for power sums and norms of i.i.d. samples},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {146},
year = {2010},
number = {3-4},
pages = {515--533},
issn = {0178-8051},
mrclass = {60F05 (60E07 60G70)},
mrnumber = {2574737},
mrreviewer = {M. Sreehari},
doi = {10.1007/s00440-008-0198-y},
url = {https://doi.org/10.1007/s00440-008-0198-y}
}
@Book{ janicki.weron:94:simulation,
author = {Janicki, Aleksander and Weron, Aleksander},
title = {Simulation and chaotic behavior of {$\alpha$}-stable
stochastic processes},
series = {Monographs and Textbooks in Pure and Applied Mathematics},
volume = {178},
publisher = {Marcel Dekker, Inc., New York},
year = {1994},
pages = {xii+355},
isbn = {0-8247-8882-6},
mrclass = {60E07 (60G17 60H05 60J60)},
mrnumber = {1306279},
mrreviewer = {John P. Nolan}
}
@Article{ janjigian.rassoul-agha.ea:22:ergodicity,
title = {Ergodicity and synchronization of the Kardar-Parisi-Zhang
equation},
author = {Christopher Janjigian and Firas Rassoul-Agha and Timo
Sepp\"al\"ainen},
year = {2022},
month = {November},
journal = {Preprint arXiv:2211.06779},
url = {http://arXiv.org/abs/2211.06779}
}
@Article{ janjigian:15:large,
author = {Janjigian, Chris},
title = {Large deviations of the free energy in the
{O}'{C}onnell-{Y}or polymer},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {160},
year = {2015},
number = {4},
pages = {1054--1080},
issn = {0022-4715},
mrclass = {82D60},
mrnumber = {3373651},
mrreviewer = {El\'{i}as Alfredo Gudi\~{n}o Rojas},
doi = {10.1007/s10955-015-1269-y},
url = {https://doi.org/10.1007/s10955-015-1269-y}
}
@Article{ janjigian:19:upper,
author = {Janjigian, Christopher},
title = {Upper tail large deviations in {B}rownian directed
percolation},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {24},
year = {2019},
pages = {Paper No. 45, 10},
mrclass = {60F10 (60K35)},
mrnumber = {3978694},
doi = {10.1214/19-ECP249},
url = {https://doi.org/10.1214/19-ECP249}
}
@Article{ janson:81:upper,
author = {Janson, Svante},
title = {An upper bound for the velocity of first-passage
percolation},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {18},
year = {1981},
number = {1},
pages = {256--262},
issn = {0021-9002},
mrclass = {60K35 (82A42)},
mrnumber = {598942},
mrreviewer = {R. T. Smythe},
doi = {10.2307/3213186},
url = {https://doi.org/10.2307/3213186}
}
@Book{ janson:97:gaussian,
author = {Janson, Svante},
title = {Gaussian {H}ilbert spaces},
series = {Cambridge Tracts in Mathematics},
volume = {129},
publisher = {Cambridge University Press, Cambridge},
year = {1997},
pages = {x+340},
isbn = {0-521-56128-0},
mrclass = {60G35 (60H15 62M20 81T08)},
mrnumber = {1474726},
mrreviewer = {Amarjit Budhiraja},
doi = {10.1017/CBO9780511526169},
url = {https://doi.org/10.1017/CBO9780511526169}
}
@Article{ janvresse.landim.ea:99:relaxation,
author = {Janvresse, E. and Landim, C. and Quastel, J. and Yau, H.
T.},
title = {Relaxation to equilibrium of conservative dynamics. {I}.
{Z}ero-range processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {27},
year = {1999},
number = {1},
pages = {325--360},
issn = {0091-1798},
mrclass = {60K35},
mrnumber = {1681098},
mrreviewer = {T. M. Liggett},
doi = {10.1214/aop/1022677265},
url = {https://doi.org/10.1214/aop/1022677265}
}
@Article{ jaramillo.nourdin.ea:21:approximation,
author = {Jaramillo, Arturo and Nourdin, Ivan and Peccati,
Giovanni},
title = {Approximation of fractional local times: zero energy and
derivatives},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {31},
year = {2021},
number = {5},
pages = {2143--2191},
issn = {1050-5164},
mrclass = {60G22 (60F17 60H07 60J55)},
mrnumber = {4332693},
doi = {10.1214/20-aap1643},
url = {https://doi.org/10.1214/20-aap1643}
}
@Article{ jaramillo.nualart:17:asymptotic,
author = {Jaramillo, Arturo and Nualart, David},
title = {Asymptotic properties of the derivative of
self-intersection local time of fractional {B}rownian
motion},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {2},
pages = {669--700},
issn = {0304-4149},
mrclass = {60G22 (60F05 60J55)},
mrnumber = {3583768},
mrreviewer = {Olga Izyumtseva},
doi = {10.1016/j.spa.2016.06.023},
url = {https://doi.org/10.1016/j.spa.2016.06.023}
}
@Article{ jaramillo.nualart:19:functional,
author = {Jaramillo, Arturo and Nualart, David},
title = {Functional limit theorem for the self-intersection local
time of the fractional {B}rownian motion},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {55},
year = {2019},
number = {1},
pages = {480--527},
issn = {0246-0203},
mrclass = {60G05 (60F17 60G15 60G22 60H07 60J55)},
mrnumber = {3901653},
mrreviewer = {Solesne Bourguin},
doi = {10.1214/18-aihp889},
url = {https://doi.org/10.1214/18-aihp889}
}
@Article{ jaramillo.nualart:20:collision,
author = {Jaramillo, Arturo and Nualart, David},
title = {Collision of eigenvalues for matrix-valued processes},
journal = {Random Matrices Theory Appl.},
fjournal = {Random Matrices. Theory and Applications},
volume = {9},
year = {2020},
number = {4},
pages = {2030001, 26},
issn = {2010-3263},
mrclass = {60G15 (31A15 60B20)},
mrnumber = {4133067},
mrreviewer = {Anamaria Savu},
doi = {10.1142/S2010326320300016},
url = {https://doi.org/10.1142/S2010326320300016}
}
@Article{ jarvenpaa.jarvenpaa.ea:17:hitting,
author = {J\"{a}rvenp\"{a}\"{a}, Esa and J\"{a}rvenp\"{a}\"{a},
Maarit and Koivusalo, Henna and Li, Bing and Suomala, Ville
and Xiao, Yimin},
title = {Hitting probabilities of random covering sets in tori and
metric spaces},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 1, 18},
issn = {1083-6489},
mrclass = {60D05 (28A80)},
mrnumber = {3613694},
mrreviewer = {Artemi\ Berlinkov},
doi = {10.1214/16-EJP4658},
url = {https://doi.org/10.1214/16-EJP4658}
}
@Article{ jeon.leijnse.ea:13:anomalous,
doi = {10.1088/1367-2630/15/4/045011},
url = {https://dx.doi.org/10.1088/1367-2630/15/4/045011},
year = {2013},
month = {apr},
publisher = {IOP Publishing},
volume = {15},
number = {4},
pages = {045011},
author = {Jae-Hyung Jeon and Natascha Leijnse and Lene B Oddershede
and Ralf Metzler},
title = {Anomalous diffusion and power-law relaxation of the time
averaged mean squared displacement in worm-like micellar
solutions},
journal = {New Journal of Physics}
}
@Article{ jerison.kenig:81:neumann,
author = {Jerison, David S. and Kenig, Carlos E.},
title = {The {N}eumann problem on {L}ipschitz domains},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {4},
year = {1981},
number = {2},
pages = {203--207},
issn = {0273-0979},
mrclass = {35J25 (26B20 31B20)},
mrnumber = {598688},
mrreviewer = {Author's review},
doi = {10.1090/S0273-0979-1981-14884-9},
url = {https://doi.org/10.1090/S0273-0979-1981-14884-9}
}
@Article{ jerison.kenig:95:inhomogeneous,
author = {Jerison, David and Kenig, Carlos E.},
title = {The inhomogeneous {D}irichlet problem in {L}ipschitz
domains},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {130},
year = {1995},
number = {1},
pages = {161--219},
issn = {0022-1236},
mrclass = {35J25 (46E35)},
mrnumber = {1331981},
mrreviewer = {H. Triebel},
doi = {10.1006/jfan.1995.1067},
url = {https://doi.org/10.1006/jfan.1995.1067}
}
@Article{ jetschke:86:on,
author = {Jetschke, G.},
title = {On the equivalence of different approaches to stochastic
partial differential equations},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {128},
year = {1986},
pages = {315--329},
issn = {0025-584X},
mrclass = {60H15 (35R60)},
mrnumber = {855965},
mrreviewer = {P. Kotelenez},
doi = {10.1002/mana.19861280127},
url = {https://doi.org/10.1002/mana.19861280127}
}
@Article{ ji.witelski:17:finite-time,
author = {Ji, Hangjie and Witelski, Thomas P.},
title = {Finite-time thin film rupture driven by modified
evaporative loss},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {342},
year = {2017},
pages = {1--15},
issn = {0167-2789},
mrclass = {35K59 (35K35 76A20)},
mrnumber = {3593511},
doi = {10.1016/j.physd.2016.10.002},
url = {https://doi.org/10.1016/j.physd.2016.10.002}
}
@Article{ jiang.wu.ea:18:blow-up,
author = {Jiang, Jie and Wu, Hao and Zheng, Songmu},
title = {Blow-up for a three dimensional {K}eller-{S}egel model
with consumption of chemoattractant},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {264},
year = {2018},
number = {8},
pages = {5432--5464},
issn = {0022-0396},
mrclass = {35K51 (35A09 35B44 35Q35 92C17 92C40)},
mrnumber = {3760180},
mrreviewer = {Hongwei Chen},
doi = {10.1016/j.jde.2018.01.004},
url = {https://doi.org/10.1016/j.jde.2018.01.004}
}
@Article{ jimenez:23:stochastic,
title = {Stochastic wave equation with heavy-tailed noise:
Uniqueness of solutions and past-light cone property},
author = {Juan J. Jim\'enez},
year = {2023},
month = {October},
journal = {Preprint arXiv:2310.05907},
url = {http://arXiv.org/abs/2310.05907}
}
@Article{ jin.kim.ea:18:boundedness,
author = {Jin, Hai-Yang and Kim, Yong-Jung and Wang, Zhi-An},
title = {Boundedness, stabilization, and pattern formation driven
by density-suppressed motility},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {78},
year = {2018},
number = {3},
pages = {1632--1657},
issn = {0036-1399},
mrclass = {35K57 (35A01 35B40 35B44 35Q92 92C15 92C17)},
mrnumber = {3814035},
mrreviewer = {Bj\"{o}rn Augner},
doi = {10.1137/17M1144647},
url = {https://doi.org/10.1137/17M1144647}
}
@Article{ joffe.spitzer:67:on,
author = {Joffe, A. and Spitzer, F.},
title = {On multitype branching processes with {$\rho \leq 1$}},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {19},
year = {1967},
pages = {409--430},
issn = {0022-247X},
mrclass = {60.67},
mrnumber = {212895},
mrreviewer = {I.\ J.\ Good},
doi = {10.1016/0022-247X(67)90001-7},
url = {https://doi.org/10.1016/0022-247X(67)90001-7}
}
@Article{ johansson:00:shape,
author = {Johansson, Kurt},
title = {Shape fluctuations and random matrices},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {209},
year = {2000},
number = {2},
pages = {437--476},
issn = {0010-3616},
mrclass = {60K35 (05A16 60C05 60F10 82B41)},
mrnumber = {1737991},
mrreviewer = {Peter Eichelsbacher},
doi = {10.1007/s002200050027},
url = {https://doi.org/10.1007/s002200050027}
}
@Article{ johansson:00:transversal,
author = {Johansson, Kurt},
title = {Transversal fluctuations for increasing subsequences on
the plane},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {116},
year = {2000},
number = {4},
pages = {445--456},
issn = {0178-8051},
mrclass = {60K35 (82B24 82C24)},
mrnumber = {1757595},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1007/s004400050258},
url = {https://doi.org/10.1007/s004400050258}
}
@Article{ johansson:01:discrete,
author = {Johansson, Kurt},
title = {Discrete orthogonal polynomial ensembles and the
{P}lancherel measure},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {153},
year = {2001},
number = {1},
pages = {259--296},
issn = {0003-486X},
mrclass = {05E10 (05A17 15A52 33C90 42C05 60C05 82B44)},
mrnumber = {1826414},
mrreviewer = {Nicholas S. Witte},
doi = {10.2307/2661375},
url = {https://doi.org/10.2307/2661375}
}
@Article{ johansson:03:discrete,
author = {Johansson, Kurt},
title = {Discrete polynuclear growth and determinantal processes},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {242},
year = {2003},
number = {1-2},
pages = {277--329},
issn = {0010-3616},
mrclass = {82C22 (60F17 60K35)},
mrnumber = {2018275},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1007/s00220-003-0945-y},
url = {https://doi.org/10.1007/s00220-003-0945-y}
}
@InCollection{ johansson:06:random,
author = {Johansson, Kurt},
title = {Random matrices and determinantal processes},
booktitle = {Mathematical statistical physics},
pages = {1--55},
publisher = {Elsevier B. V., Amsterdam},
year = {2006},
mrclass = {60K35 (15B52 60B20 60G55 82B44)},
mrnumber = {2581882},
mrreviewer = {Nizar Demni},
doi = {10.1016/S0924-8099(06)80038-7},
url = {https://doi.org/10.1016/S0924-8099(06)80038-7}
}
@Article{ johansson:98:on,
author = {Johansson, Kurt},
title = {On fluctuations of eigenvalues of random {H}ermitian
matrices},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {91},
year = {1998},
number = {1},
pages = {151--204},
issn = {0012-7094},
mrclass = {82B44 (82B05)},
mrnumber = {1487983},
mrreviewer = {Estelle L. Basor},
doi = {10.1215/S0012-7094-98-09108-6},
url = {https://doi.org/10.1215/S0012-7094-98-09108-6}
}
@Book{ john:91:partial,
author = {John, Fritz},
title = {Partial differential equations},
series = {Applied Mathematical Sciences},
volume = {1},
edition = {fourth},
publisher = {Springer-Verlag, New York},
year = {1991},
pages = {x+249},
isbn = {0-387-90609-6},
mrclass = {35-01},
mrnumber = {1185075}
}
@Article{ johnson.redheffer:66:scrambled,
author = {Johnson, Paul and Redheffer, Ray},
title = {Scrambled series},
journal = {Amer. Math. Monthly},
fjournal = {American Mathematical Monthly},
volume = {73},
year = {1966},
pages = {822--828},
issn = {0002-9890},
mrclass = {40.13},
mrnumber = {201866},
mrreviewer = {B. E. Rhoades},
doi = {10.2307/2314174},
url = {https://doi.org/10.2307/2314174}
}
@Article{ johnson:73:on,
author = {Johnson, R. S.},
title = {On the development of a solitary wave moving over an
uneven bottom},
journal = {Proc. Cambridge Philos. Soc.},
fjournal = {Proceedings of the Cambridge Philosophical Society},
volume = {73},
year = {1973},
pages = {183--203},
issn = {0008-1981},
mrclass = {76.35},
mrnumber = {312817},
mrreviewer = {L. M. Hocking},
doi = {10.1017/s0305004100047605},
url = {https://doi.org/10.1017/s0305004100047605}
}
@Article{ johnstone:01:on,
author = {Johnstone, Iain M.},
title = {On the distribution of the largest eigenvalue in principal
components analysis},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {29},
year = {2001},
number = {2},
pages = {295--327},
issn = {0090-5364},
mrclass = {62H25 (15A52 33C45 33E17 60F05)},
mrnumber = {1863961},
doi = {10.1214/aos/1009210544},
url = {https://doi.org/10.1214/aos/1009210544}
}
@InCollection{ johnstone:07:high,
author = {Johnstone, Iain M.},
title = {High dimensional statistical inference and random
matrices},
booktitle = {International {C}ongress of {M}athematicians. {V}ol. {I}},
pages = {307--333},
publisher = {Eur. Math. Soc., Z\"{u}rich},
year = {2007},
mrclass = {62H10 (15A52 62H20 62H25)},
mrnumber = {2334195},
mrreviewer = {Peter Eichelsbacher},
doi = {10.4171/022-1/13},
url = {https://doi.org/10.4171/022-1/13}
}
@Article{ jolis.sanz-sole:92:integrator,
author = {Jolis, Maria and Sanz-Sol\'{e}, Marta},
title = {Integrator properties of the {S}korohod integral},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {41},
year = {1992},
number = {3},
pages = {163--176},
issn = {1045-1129},
mrclass = {60H05},
mrnumber = {1275581},
mrreviewer = {Vigirdas Mackevi\v{c}ius},
doi = {10.1080/17442509208833800},
url = {https://doi.org/10.1080/17442509208833800}
}
@InCollection{ jolis.sanz-sole:93:doob-meyer,
author = {Jolis, Maria and Sanz-Sol\'{e}, Marta},
title = {Doob-{M}eyer decomposition and integrator properties of
the {W}ong-{Z}akai anticipating integral},
booktitle = {Stochastic analysis and related topics ({O}slo, 1992)},
series = {Stochastics Monogr.},
volume = {8},
pages = {177--201},
publisher = {Gordon and Breach, Montreux},
year = {1993},
mrclass = {60H07 (60H05)},
mrnumber = {1268013},
mrreviewer = {Eddy Mayer-Wolf}
}
@InProceedings{ jolis.sanz:90:nonadaptive,
author = {Jolis, Maria and Sanz, Marta},
title = {Nonadaptive stochastic calculus},
booktitle = {Proceedings of the {XIV}th {S}panish-{P}ortuguese
{C}onference on {M}athematics, {V}ol. {I}--{III}
({S}panish) ({P}uerto de la {C}ruz, 1989)},
pages = {891--895},
publisher = {Univ. La Laguna, La Laguna},
year = {1990},
mrclass = {60H05 (60G15 60G60)},
mrnumber = {1112984}
}
@InCollection{ jolis.sanz:90:on,
author = {Jolis, Maria and Sanz, Marta},
title = {On generalized multiple stochastic integrals and
multiparameter anticipative calculus},
booktitle = {Stochastic analysis and related topics, {II} ({S}ilivri,
1988)},
series = {Lecture Notes in Math.},
volume = {1444},
pages = {141--182},
publisher = {Springer, Berlin},
year = {1990},
mrclass = {60H05 (60H07)},
mrnumber = {1078847},
mrreviewer = {M. Zakai},
doi = {10.1007/BFb0083614},
url = {https://doi.org/10.1007/BFb0083614}
}
@Article{ jolis:10:wiener,
author = {Jolis, Maria},
title = {The {W}iener integral with respect to second order
processes with stationary increments},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {366},
year = {2010},
number = {2},
pages = {607--620},
issn = {0022-247X},
mrclass = {60H05 (60G12 60G22)},
mrnumber = {2600506},
mrreviewer = {Tina M. Marquardt},
doi = {10.1016/j.jmaa.2010.01.058},
url = {https://doi.org/10.1016/j.jmaa.2010.01.058}
}
@Article{ jona-lasinio.mitter:85:on,
author = {Jona-Lasinio, G. and Mitter, P. K.},
title = {On the stochastic quantization of field theory},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {101},
year = {1985},
number = {3},
pages = {409--436},
issn = {0010-3616},
mrclass = {81E99 (60G20 81C20)},
mrnumber = {815192},
mrreviewer = {W. David Wick},
url = {http://projecteuclid.org/euclid.cmp/1104114183}
}
@InCollection{ jona-lasinio:91:stochastic,
author = {Jona-Lasinio, G.},
title = {Stochastic reaction diffusion equations and interacting
particle systems},
note = {Multiscale phenomena (S\~{a}o Paulo, 1990)},
journal = {Ann. Inst. H. Poincar\'{e} Phys. Th\'{e}or.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Physique
Th\'{e}orique},
volume = {55},
year = {1991},
number = {2},
pages = {751--758},
issn = {0246-0211},
mrclass = {60K35 (82C22)},
mrnumber = {1139544},
url = {http://www.numdam.org/item?id=AIHPA_1991__55_2_751_0}
}
@Article{ jones.schonlau.ea:98:efficient,
title = {Efficient global optimization of expensive black-box
functions},
author = {Jones, Donald R and Schonlau, Matthias and Welch, William
J},
journal = {Journal of Global Optimization},
volume = {13},
number = {4},
pages = {455--492},
year = {1998},
publisher = {Springer}
}
@Article{ jones.smirnov:00:removability,
author = {Jones, Peter W. and Smirnov, Stanislav K.},
title = {Removability theorems for {S}obolev functions and
quasiconformal maps},
journal = {Ark. Mat.},
fjournal = {Arkiv f\"{o}r Matematik},
volume = {38},
year = {2000},
number = {2},
pages = {263--279},
issn = {0004-2080,1871-2487},
mrclass = {46E35 (30C65)},
mrnumber = {1785402},
mrreviewer = {Petra\ Bonfert-Taylor},
doi = {10.1007/BF02384320},
url = {https://doi.org/10.1007/BF02384320}
}
@Article{ jones.smirnov:99:on,
author = {Jones, Peter W. and Smirnov, Stanislav K.},
title = {On {V}. {I}. {S}mirnov domains},
journal = {Ann. Acad. Sci. Fenn. Math.},
fjournal = {Annales Academi\ae Scientiarum Fennic\ae . Mathematica},
volume = {24},
year = {1999},
number = {1},
pages = {105--108},
issn = {1239-629X,1798-2383},
mrclass = {30C20 (30C85)},
mrnumber = {1677977},
mrreviewer = {D.\ A.\ Brannan}
}
@Article{ jones:96:transition,
author = {Jones, Owen Dafydd},
title = {Transition probabilities for the simple random walk on the
{S}ierpi\'{n}ski graph},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {61},
year = {1996},
number = {1},
pages = {45--69},
issn = {0304-4149},
mrclass = {60J15},
mrnumber = {1378848},
mrreviewer = {Ben Hambly},
doi = {10.1016/0304-4149(95)00074-7},
url = {https://doi.org/10.1016/0304-4149(95)00074-7}
}
@Article{ jonsdottir.r-nn-nielsen.ea:13:levy-based,
author = {J\'{o}nsd\'{o}ttir, Kristjana \'{Y}r and R\o nn-Nielsen,
Anders and Mouridsen, Kim and Jensen, Eva B. Vedel},
title = {L\'{e}vy-based modelling in brain imaging},
journal = {Scand. J. Stat.},
fjournal = {Scandinavian Journal of Statistics. Theory and
Applications},
volume = {40},
year = {2013},
number = {3},
pages = {511--529},
issn = {0303-6898},
mrclass = {62P10 (60G60 62F10)},
mrnumber = {3091695},
doi = {10.1002/sjos.12000},
url = {https://doi.org/10.1002/sjos.12000}
}
@Article{ jordan.wheeler:76:generalization,
author = {Jordan, G. S. and Wheeler, Robert L.},
title = {A generalization of the {W}iener-{L}\'{e}vy theorem
applicable to some {V}olterra equations},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {57},
year = {1976},
number = {1},
pages = {109--114},
issn = {0002-9939},
mrclass = {45D05},
mrnumber = {405023},
mrreviewer = {K. N. Srivastava},
doi = {10.2307/2040875},
url = {https://doi.org/10.2307/2040875}
}
@Article{ joseph.khoshnevisan.ea:17:strong,
author = {Joseph, Mathew and Khoshnevisan, Davar and Mueller, Carl},
title = {Strong invariance and noise-comparison principles for some
parabolic stochastic {PDE}s},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {1},
pages = {377--403},
issn = {0091-1798},
mrclass = {60H15 (35K57 35R60)},
mrnumber = {3601652},
mrreviewer = {Raluca M. Balan},
doi = {10.1214/15-AOP1009},
url = {https://doi.org/10.1214/15-AOP1009}
}
@Article{ joseph.lundgren:72:quasilinear,
author = {Joseph, D. D. and Lundgren, T. S.},
title = {Quasilinear {D}irichlet problems driven by positive
sources},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {49},
year = {1972/73},
pages = {241--269},
issn = {0003-9527},
mrclass = {34B15},
mrnumber = {340701},
mrreviewer = {Jean Mawhin},
doi = {10.1007/BF00250508},
url = {https://doi.org/10.1007/BF00250508}
}
@InCollection{ joseph.rassoul-agha.ea:19:independent,
author = {Joseph, Mathew and Rassoul-Agha, Firas and
Sepp\"{a}l\"{a}inen, Timo},
title = {Independent particles in a dynamical random environment},
booktitle = {Probability and analysis in interacting physical systems},
series = {Springer Proc. Math. Stat.},
volume = {283},
pages = {75--121},
publisher = {Springer, Cham},
year = {2019},
mrclass = {60K35 (60K37)},
mrnumber = {3968509},
mrreviewer = {Stephen Muirhead},
doi = {10.1007/978-3-030-15338-0\_4},
url = {https://doi.org/10.1007/978-3-030-15338-0_4}
}
@Article{ ju.tao.ea:95:eigenvectors,
author = {Ju, Guo Xin and Tao, Jin He and Liu, Zi Xin and Wang,
Mian},
title = {The eigenvectors of {$q$}-deformed creation operator
{$a^+_q$} and their properties},
journal = {Modern Phys. Lett. A},
fjournal = {Modern Physics Letters A. Gravitation, Cosmology,
Astrophysics, Nuclear Physics, Particles and Fields,
Accelerator Physics, Quantum Information},
volume = {10},
year = {1995},
number = {8},
pages = {669--675},
issn = {0217-7323},
mrclass = {81R50 (81S05)},
mrnumber = {1327912},
mrreviewer = {Zhaoyan Wu},
doi = {10.1142/S0217732395000715},
url = {https://doi.org/10.1142/S0217732395000715}
}
@Article{ judovic:63:non-stationary,
author = {Judovi\v{c}, V. I.},
title = {Non-stationary flows of an ideal incompressible fluid},
journal = {\v{Z}. Vy\v{c}isl. Mat i Mat. Fiz.},
fjournal = {\v{Z}urnal Vy\v{c}islitel{\cprime}no\u{\i} Matematiki i
Matemati\v{c}esko\u{\i} Fiziki},
volume = {3},
year = {1963},
pages = {1032--1066},
issn = {0044-4669},
mrclass = {35.79},
mrnumber = {158189},
mrreviewer = {P. C. Fife}
}
@Article{ julia.nualart:88:distribution,
author = {Juli\`a, O. and Nualart, D.},
title = {The distribution of a double stochastic integral with
respect to two independent {B}rownian sheets},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {25},
year = {1988},
number = {3},
pages = {171--182},
issn = {0090-9491},
mrclass = {60H05 (60E10)},
mrnumber = {999367},
mrreviewer = {M. Zakai},
doi = {10.1080/17442508808833538},
url = {https://doi.org/10.1080/17442508808833538}
}
@Article{ jullien.botet:85:scaling,
doi = {10.1088/0305-4470/18/12/026},
url = {https://dx.doi.org/10.1088/0305-4470/18/12/026},
year = {1985},
month = {aug},
volume = {18},
number = {12},
pages = {2279},
author = {R Jullien and R Botet},
title = {Scaling properties of the surface of the Eden model in
d=2, 3, 4},
journal = {Journal of Physics A: Mathematical and General}
}
@Article{ jungel.leingang.ea:20:vanishing,
author = {J\"{u}ngel, Ansgar and Leingang, Oliver and Wang, Shu},
title = {Vanishing cross-diffusion limit in a {K}eller-{S}egel
system with additional cross-diffusion},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {192},
year = {2020},
pages = {111698, 21},
issn = {0362-546X},
mrclass = {35K51 (35B40 35Q92 92C17)},
mrnumber = {4036689},
doi = {10.1016/j.na.2019.111698},
url = {https://doi.org/10.1016/j.na.2019.111698}
}
@Article{ junnila.saksman.ea:19:decompositions,
author = {Junnila, Janne and Saksman, Eero and Webb, Christian},
title = {Decompositions of log-correlated fields with
applications},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {29},
year = {2019},
number = {6},
pages = {3786--3820},
issn = {1050-5164},
mrclass = {60G15 (60G57)},
mrnumber = {4047992},
doi = {10.1214/19-AAP1492},
url = {https://doi.org/10.1214/19-AAP1492}
}
@Article{ junnila.saksman.ea:20:imaginary,
author = {Junnila, Janne and Saksman, Eero and Webb, Christian},
title = {Imaginary multiplicative chaos: moments, regularity and
connections to the {I}sing model},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {30},
year = {2020},
number = {5},
pages = {2099--2164},
issn = {1050-5164},
mrclass = {60G20 (60G15 82B20)},
mrnumber = {4149524},
doi = {10.1214/19-AAP1553},
url = {https://doi.org/10.1214/19-AAP1553}
}
@InCollection{ kabeya.ni:98:stationary,
author = {Kabeya, Yoshitsugu and Ni, Wei-Ming},
title = {Stationary {K}eller-{S}egel model with the linear
sensitivity},
note = {Variational problems and related topics (Japanese) (Kyoto,
1997)},
journal = {S\={u}rikaisekikenky\={u}sho K\B{o}ky\={u}roku},
fjournal = {S\={u}rikaisekikenky\={u}sho K\B{o}ky\={u}roku},
number = {1025},
year = {1998},
pages = {44--65},
mrclass = {35Q80 (35J65 92D25 92D50)},
mrnumber = {1644794},
mrreviewer = {Joseph So}
}
@Article{ kabluchko.klimovsky:14:complex,
author = {Kabluchko, Zakhar and Klimovsky, Anton},
title = {Complex random energy model: zeros and fluctuations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {158},
year = {2014},
number = {1-2},
pages = {159--196},
issn = {0178-8051},
mrclass = {60G50 (30C15 60E07 60F05 60F17 60G15 82B44)},
mrnumber = {3152783},
mrreviewer = {Lee-Peng Teo},
doi = {10.1007/s00440-013-0480-5},
url = {https://doi.org/10.1007/s00440-013-0480-5}
}
@Article{ kabluchko:11:functional,
author = {Kabluchko, Zakhar},
title = {Functional limit theorems for sums of independent
geometric {L}\'{e}vy processes},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {17},
year = {2011},
number = {3},
pages = {942--968},
issn = {1350-7265},
mrclass = {60G51 (60F05 60F17 60G50 60G52 62G30)},
mrnumber = {2817612},
mrreviewer = {Konstantin Borovkov},
doi = {10.3150/10-BEJ299},
url = {https://doi.org/10.3150/10-BEJ299}
}
@Article{ kabluchko:15:critical,
author = {Kabluchko, Zakhar},
title = {Critical points of random polynomials with independent
identically distributed roots},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {143},
year = {2015},
number = {2},
pages = {695--702},
issn = {0002-9939},
mrclass = {30C10 (30C15 31A15)},
mrnumber = {3283656},
mrreviewer = {Hiroshi Sekigawa},
doi = {10.1090/S0002-9939-2014-12258-1},
url = {https://doi.org/10.1090/S0002-9939-2014-12258-1}
}
@Article{ kac:13:on,
author = {Kac, Mark},
title = {On certain {T}oeplitz-like matrices and their relation to
the problem of lattice vibrations},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {151},
year = {2013},
number = {5},
pages = {785--795},
issn = {0022-4715},
mrclass = {82B05 (01A75 15B05 60B20 70H40)},
mrnumber = {3055375},
mrreviewer = {Keivan Aghababaei Samani},
doi = {10.1007/s10955-012-0675-7},
url = {https://doi.org/10.1007/s10955-012-0675-7}
}
@Book{ kadane:11:principles,
author = {Kadane, Joseph B.},
title = {Principles of uncertainty},
series = {Texts in Statistical Science Series},
publisher = {CRC Press, Boca Raton, FL},
year = {2011},
pages = {xxviii+475},
isbn = {978-1-4398-6161-5},
mrclass = {62-01 (62-02 62A01 62C10 62F15)},
mrnumber = {2799022},
mrreviewer = {Michael J. Evans},
doi = {10.1201/b11322},
url = {https://doi.org/10.1201/b11322}
}
@Book{ kadane:17:pragmatics,
author = {Kadane, Joseph B.},
title = {Pragmatics of uncertainty},
series = {Texts in Statistical Science Series},
publisher = {CRC Press, Boca Raton, FL},
year = {2017},
pages = {xviii+329},
isbn = {978-1-4987-1984-1},
mrclass = {62-01 (01A75 62A01 62C10 62F15 62Pxx)},
mrnumber = {3674336},
mrreviewer = {A. I. Dale}
}
@Article{ kadem.luchko.ea:10:spectral,
author = {Kadem, Abdelouahab and Luchko, Yury and Baleanu, Dumitru},
title = {Spectral method for solution of the fractional transport
equation},
journal = {Rep. Math. Phys.},
fjournal = {Reports on Mathematical Physics},
volume = {66},
year = {2010},
number = {1},
pages = {103--115},
issn = {0034-4877},
mrclass = {82C70},
mrnumber = {2732183},
mrreviewer = {Luisa\ Arlotti},
doi = {10.1016/S0034-4877(10)80026-6},
url = {https://doi.org/10.1016/S0034-4877(10)80026-6}
}
@Article{ kadlec:64:regularity,
author = {Kadlec, Jan},
title = {The regularity of the solution of the {P}oisson problem in
a domain whose boundary is similar to that of a convex
domain},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {14(89)},
year = {1964},
pages = {386--393},
issn = {0011-4642},
mrclass = {35.45},
mrnumber = {170088},
mrreviewer = {Richard Beals}
}
@Article{ kager.nienhuis:04:guide,
author = {Kager, Wouter and Nienhuis, Bernard},
title = {A guide to stochastic {L}\"{o}wner evolution and its
applications},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {115},
year = {2004},
number = {5-6},
pages = {1149--1229},
issn = {0022-4715},
mrclass = {82B27 (30C55 60H10 60J65 60K35 81T40)},
mrnumber = {2065722},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1023/B:JOSS.0000028058.87266.be},
url = {https://doi.org/10.1023/B:JOSS.0000028058.87266.be}
}
@Article{ kahane.peyriere:76:sur,
author = {Kahane, J.-P. and Peyri\`ere, J.},
title = {Sur certaines martingales de {B}enoit {M}andelbrot},
journal = {Advances in Math.},
fjournal = {Advances in Mathematics},
volume = {22},
year = {1976},
number = {2},
pages = {131--145},
issn = {0001-8708},
mrclass = {60F15 (60G45 76.60)},
mrnumber = {431355},
mrreviewer = {W. L. Steiger},
doi = {10.1016/0001-8708(76)90151-1},
url = {https://doi.org/10.1016/0001-8708(76)90151-1}
}
@Book{ kahane:68:some,
author = {Kahane, Jean-Pierre},
title = {Some random series of functions},
publisher = {D. C. Heath and Company Raytheon Education Company,
Lexington, MA},
year = {1968},
pages = {viii+184},
mrclass = {60.08},
mrnumber = {254888},
mrreviewer = {P. Erd\H{o}s}
}
@Book{ kahane:85:some,
author = {Kahane, Jean-Pierre},
title = {Some random series of functions},
series = {Cambridge Studies in Advanced Mathematics},
volume = {5},
edition = {Second},
publisher = {Cambridge University Press, Cambridge},
year = {1985},
pages = {xiv+305},
isbn = {0-521-24966-X; 0-521-45602-9},
mrclass = {60G99 (42A61 60G15 60G17)},
mrnumber = {833073},
mrreviewer = {Michael Marcus}
}
@Article{ kahane:85:sur,
author = {Kahane, Jean-Pierre},
title = {Sur le chaos multiplicatif},
journal = {Ann. Sci. Math. Qu\'{e}bec},
fjournal = {Annales des Sciences Math\'{e}matiques du Qu\'{e}bec},
volume = {9},
year = {1985},
number = {2},
pages = {105--150},
issn = {0707-9109},
mrclass = {60G57 (60G42)},
mrnumber = {829798},
mrreviewer = {S. D. Chatterji}
}
@Article{ kahane:86:inegalite,
author = {Kahane, Jean-Pierre},
title = {Une in\'{e}galit\'{e} du type de {S}lepian et {G}ordon sur
les processus gaussiens},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {55},
year = {1986},
number = {1},
pages = {109--110},
issn = {0021-2172},
mrclass = {60G15},
mrnumber = {858463},
mrreviewer = {Naresh C. Jain},
doi = {10.1007/BF02772698},
url = {https://doi.org/10.1007/BF02772698}
}
@Article{ kalashnikov:87:some,
author = {Kalashnikov, A. S.},
title = {Some problems of the qualitative theory of second-order
nonlinear degenerate parabolic equations},
journal = {Uspekhi Mat. Nauk},
fjournal = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe
Obshchestvo. Uspekhi Matematicheskikh Nauk},
volume = {42},
year = {1987},
number = {2(254)},
pages = {135--176, 287},
issn = {0042-1316},
mrclass = {35K65 (35Bxx 35K55)},
mrnumber = {898624},
mrreviewer = {V. N. Razzhevaikin}
}
@Article{ kalbasi.mountford.ea:18:anderson,
author = {Kalbasi, Kamran and Mountford, Thomas S. and Viens,
Frederi G.},
title = {Anderson polymer in a fractional {B}rownian environment:
asymptotic behavior of the partition function},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {31},
year = {2018},
number = {3},
pages = {1429--1468},
issn = {0894-9840},
mrclass = {60H15 (60K37)},
mrnumber = {3842159},
doi = {10.1007/s10959-017-0756-2},
url = {https://doi.org/10.1007/s10959-017-0756-2}
}
@Article{ kalbasi.mountford:15:feynman-kac,
author = {Kalbasi, Kamran and Mountford, Thomas S.},
title = {Feynman-{K}ac representation for the parabolic {A}nderson
model driven by fractional noise},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {269},
year = {2015},
number = {5},
pages = {1234--1263},
issn = {0022-1236},
mrclass = {35R60 (35C05 35K15 60H15)},
mrnumber = {3369936},
mrreviewer = {Le Chen},
doi = {10.1016/j.jfa.2015.06.003},
url = {https://doi.org/10.1016/j.jfa.2015.06.003}
}
@Article{ kalbasi.mountford:20:on,
author = {Kalbasi, Kamran and Mountford, Thomas},
title = {On the probability distribution of the local times of
diagonally operator-self-similar {G}aussian fields with
stationary increments},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {26},
year = {2020},
number = {2},
pages = {1504--1534},
issn = {1350-7265},
mrclass = {60G15 (60G18 60G60 60J55)},
mrnumber = {4058376},
mrreviewer = {Jos\'{e} Rafael Le\'{o}n},
doi = {10.3150/19-BEJ1169},
url = {https://doi.org/10.3150/19-BEJ1169}
}
@Article{ kallenberg.sztencel:91:some,
author = {Kallenberg, Olav and Sztencel, Rafa\l },
title = {Some dimension-free features of vector-valued
martingales},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {88},
year = {1991},
number = {2},
pages = {215--247},
issn = {0178-8051},
mrclass = {60G44},
mrnumber = {1096481},
mrreviewer = {Michael Sharpe},
doi = {10.1007/BF01212560},
url = {https://doi.org/10.1007/BF01212560}
}
@Book{ kallenberg:02:foundations,
author = {Kallenberg, Olav},
title = {Foundations of modern probability},
series = {Probability and its Applications (New York)},
edition = {Second},
publisher = {Springer-Verlag, New York},
year = {2002},
pages = {xx+638},
isbn = {0-387-95313-2},
mrclass = {60-01},
mrnumber = {1876169},
mrreviewer = {Klaus D. Schmidt},
doi = {10.1007/978-1-4757-4015-8},
url = {https://doi.org/10.1007/978-1-4757-4015-8}
}
@Book{ kallenberg:86:random,
author = {Kallenberg, Olav},
title = {Random measures},
edition = {Fourth},
publisher = {Akademie-Verlag, Berlin; Academic Press, Inc., London},
year = {1986},
pages = {187},
isbn = {0-12-394960-2},
mrclass = {60G57},
mrnumber = {854102}
}
@Book{ kallianpur.xiong:95:stochastic,
author = {Kallianpur, Gopinath and Xiong, Jie},
title = {Stochastic differential equations in infinite-dimensional
spaces},
series = {Institute of Mathematical Statistics Lecture
Notes---Monograph Series},
volume = {26},
note = {Expanded version of the lectures delivered as part of the
1993 Barrett Lectures at the University of Tennessee,
Knoxville, TN, March 25--27, 1993, With a foreword by
Balram S. Rajput and Jan Rosinski},
publisher = {Institute of Mathematical Statistics, Hayward, CA},
year = {1995},
pages = {vi+342},
isbn = {0-940600-38-2},
mrclass = {60-02 (60F10 60H05 60H15 60H20)},
mrnumber = {1465436},
mrreviewer = {Richard B. Sowers}
}
@Article{ kallianpur.xiong:96:large,
author = {Kallianpur, Gopinath and Xiong, Jie},
title = {Large deviations for a class of stochastic partial
differential equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {1},
pages = {320--345},
issn = {0091-1798},
mrclass = {60H15 (35R60 60F10 60G60)},
mrnumber = {1387638},
mrreviewer = {Richard B. Sowers},
doi = {10.1214/aop/1042644719},
url = {https://doi.org/10.1214/aop/1042644719}
}
@Book{ kallianpur:80:stochastic,
author = {Kallianpur, Gopinath},
title = {Stochastic filtering theory},
series = {Applications of Mathematics},
volume = {13},
publisher = {Springer-Verlag, New York-Berlin},
year = {1980},
pages = {xvi+316},
isbn = {0-387-90445-X},
mrclass = {60G35 (60Gxx 60Hxx 60J65 93E11)},
mrnumber = {583435},
mrreviewer = {B. L. Rozovskiu{i}}
}
@Article{ kalsi:20:existence,
author = {Kalsi, Jasdeep},
title = {Existence of invariant measures for reflected stochastic
partial differential equations},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {33},
year = {2020},
number = {3},
pages = {1755--1767},
issn = {0894-9840},
mrclass = {60H15},
mrnumber = {4125974},
mrreviewer = {Bo Wu},
doi = {10.1007/s10959-019-00906-z},
url = {https://doi.org/10.1007/s10959-019-00906-z}
}
@InCollection{ kalton.mayboroda.ea:07:interpolation,
author = {Kalton, Nigel and Mayboroda, Svitlana and Mitrea, Marius},
title = {Interpolation of
{H}ardy-{S}obolev-{B}esov-{T}riebel-{L}izorkin spaces and
applications to problems in partial differential
equations},
booktitle = {Interpolation theory and applications},
series = {Contemp. Math.},
volume = {445},
pages = {121--177},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2007},
mrclass = {46B70 (35J25 35J30 46E35 46N20 47F05)},
mrnumber = {2381891},
mrreviewer = {H. Triebel},
doi = {10.1090/conm/445/08598},
url = {https://doi.org/10.1090/conm/445/08598}
}
@Article{ kalton.mitrea:98:stability,
author = {Kalton, Nigel and Mitrea, Marius},
title = {Stability results on interpolation scales of
quasi-{B}anach spaces and applications},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {350},
year = {1998},
number = {10},
pages = {3903--3922},
issn = {0002-9947},
mrclass = {46M35 (35J25 47A53 47F05)},
mrnumber = {1443193},
mrreviewer = {Mieczys\l aw Masty\l o},
doi = {10.1090/S0002-9947-98-02008-X},
url = {https://doi.org/10.1090/S0002-9947-98-02008-X}
}
@Article{ kalton.neerven.ea:08:embedding,
author = {Kalton, Nigel and van Neerven, Jan and Veraar, Mark and
Weis, Lutz},
title = {Embedding vector-valued {B}esov spaces into spaces of
{$\gamma$}-radonifying operators},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {281},
year = {2008},
number = {2},
pages = {238--252},
issn = {0025-584X,1522-2616},
mrclass = {46B09 (46E35 46E40)},
mrnumber = {2387363},
doi = {10.1002/mana.200510598},
url = {https://doi.org/10.1002/mana.200510598}
}
@Book{ kalton.peck.ea:84:f-space,
author = {Kalton, N. J. and Peck, N. T. and Roberts, James W.},
title = {An {$F$}-space sampler},
series = {London Mathematical Society Lecture Note Series},
volume = {89},
publisher = {Cambridge University Press, Cambridge},
year = {1984},
pages = {xii+240},
isbn = {0-521-27585-7},
mrclass = {46Axx},
mrnumber = {808777},
mrreviewer = {K.-D. Bierstedt},
doi = {10.1017/CBO9780511662447},
url = {https://doi.org/10.1017/CBO9780511662447}
}
@Article{ kalyanasundaram.pruhs:94:constructing,
title = {Constructing competitive tours from local information},
author = {Kalyanasundaram, Bala and Pruhs, Kirk R},
journal = {Theoretical Computer Science},
volume = {130},
number = {1},
pages = {125--138},
year = {1994},
publisher = {Elsevier}
}
@Article{ kalyanasundaram.pruhs:94:constructing*1,
author = {Bala Kalyanasundaram and Kirk Pruhs},
title = {Constructing Competitive Tours from Local Information},
journal = {Theor. Comput. Sci.},
year = {1994},
volume = {130},
number = {1},
pages = {125--138}
}
@Article{ kamenev.meerson.ea:16:short-time,
author = {Kamenev, Alex and Meerson, Baruch and Sasorov, Pavel V.},
title = {Short-time height distribution in the one-dimensional
{K}ardar-{P}arisi-{Z}hang equation: starting from a
parabola},
journal = {Phys. Rev. E},
fjournal = {Physical Review E},
volume = {94},
year = {2016},
number = {3},
pages = {032108, 9},
issn = {2470-0045},
mrclass = {60H99 (35K59 35R60)},
mrnumber = {3731817},
doi = {10.1103/physreve.94.032108},
url = {https://doi.org/10.1103/physreve.94.032108}
}
@Article{ kamilis.polydorides:18:uncertainty,
author = {Kamilis, Dimitris and Polydorides, Nick},
title = {Uncertainty quantification for low-frequency,
time-harmonic {M}axwell equations with stochastic
conductivity models},
journal = {SIAM/ASA J. Uncertain. Quantif.},
fjournal = {SIAM/ASA Journal on Uncertainty Quantification},
volume = {6},
year = {2018},
number = {4},
pages = {1295--1334},
issn = {2166-2525},
mrclass = {35Q61 (35R60 62M40 65D30 65N30)},
mrnumber = {3860127},
mrreviewer = {Le\ Chen},
doi = {10.1137/17M1156010},
url = {https://doi.org/10.1137/17M1156010}
}
@InCollection{ kamin.peletier.ea:92:nonlinear,
author = {Kamin, S. and Peletier, L. A. and V\'{a}zquez, J. L.},
title = {A nonlinear diffusion-absorption equation with unbounded
initial data},
booktitle = {Nonlinear diffusion equations and their equilibrium
states, 3 ({G}regynog, 1989)},
series = {Progr. Nonlinear Differential Equations Appl.},
volume = {7},
pages = {243--263},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1992},
mrclass = {35K55 (35B05 35K65)},
mrnumber = {1167843},
mrreviewer = {Enrique Zuazua}
}
@Article{ kampen:76:stochastic,
author = {van Kampen, N. G.},
title = {Stochastic differential equations},
journal = {Phys. Rep.},
fjournal = {Physics Reports. A Review Section of Physics Letters},
volume = {24},
year = {1976},
number = {3},
pages = {171--228},
issn = {0370-1573},
mrclass = {82.60},
mrnumber = {676489},
doi = {10.1016/0370-1573(76)90029-6},
url = {https://doi.org/10.1016/0370-1573(76)90029-6}
}
@Article{ kang.kim.ea:20:existence,
author = {Kang, Kyungkeun and Kim, Kyunghwa and Yoon, Changwook},
title = {Existence of weak and regular solutions for
{K}eller-{S}egel system with degradation coupled to fluid
equations},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {485},
year = {2020},
number = {1},
pages = {123750, 38},
issn = {0022-247X},
mrclass = {35Q35 (35D30 35Q92)},
mrnumber = {4042635},
doi = {10.1016/j.jmaa.2019.123750},
url = {https://doi.org/10.1016/j.jmaa.2019.123750}
}
@Article{ kang.stevens:16:blowup,
author = {Kang, Kyungkeun and Stevens, Angela},
title = {Blowup and global solutions in a chemotaxis-growth
system},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {135},
year = {2016},
pages = {57--72},
issn = {0362-546X},
mrclass = {35K51 (35A01 35B44 35M33 35Q92 92C17)},
mrnumber = {3473109},
doi = {10.1016/j.na.2016.01.017},
url = {https://doi.org/10.1016/j.na.2016.01.017}
}
@InCollection{ kanzieper:11:replica,
author = {Kanzieper, Eugene},
title = {Replica approach in random matrix theory},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {155--175},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {82B20 (15B52 60B20)},
mrnumber = {2932628}
}
@Article{ kao.lou.ea:10:random,
author = {Kao, Chiu-Yen and Lou, Yuan and Shen, Wenxian},
title = {Random dispersal vs. non-local dispersal},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {26},
year = {2010},
number = {2},
pages = {551--596},
issn = {1078-0947,1553-5231},
mrclass = {35K57 (35K51 47G20 92D25 92D40)},
mrnumber = {2556498},
mrreviewer = {Si\ Ning\ Zheng},
doi = {10.3934/dcds.2010.26.551},
url = {https://doi.org/10.3934/dcds.2010.26.551}
}
@Article{ kao.lou.ea:12:evolution,
author = {Kao, Chiu-Yen and Lou, Yuan and Shen, Wenxian},
title = {Evolution of mixed dispersal in periodic environments},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {17},
year = {2012},
number = {6},
pages = {2047--2072},
issn = {1531-3492,1553-524X},
mrclass = {92D25 (35K57 45K05)},
mrnumber = {2924452},
doi = {10.3934/dcdsb.2012.17.2047},
url = {https://doi.org/10.3934/dcdsb.2012.17.2047}
}
@Article{ kaplan:63:on,
author = {Kaplan, Stanley},
title = {On the growth of solutions of quasi-linear parabolic
equations},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {16},
year = {1963},
pages = {305--330},
issn = {0010-3640},
mrclass = {35.62},
mrnumber = {160044},
mrreviewer = {P. Hartman},
doi = {10.1002/cpa.3160160307},
url = {https://doi.org/10.1002/cpa.3160160307}
}
@Article{ kappeler.topalov:06:global,
author = {Kappeler, T. and Topalov, P.},
title = {Global wellposedness of {K}d{V} in {$H^{-1}(\Bbb T,\Bbb
R)$}},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {135},
year = {2006},
number = {2},
pages = {327--360},
issn = {0012-7094},
mrclass = {35Q53 (35B30)},
mrnumber = {2267286},
mrreviewer = {Pierre A. Vuillermot},
doi = {10.1215/S0012-7094-06-13524-X},
url = {https://doi.org/10.1215/S0012-7094-06-13524-X}
}
@Article{ karandikar:95:on,
author = {Karandikar, Rajeeva L.},
title = {On pathwise stochastic integration},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {57},
year = {1995},
number = {1},
pages = {11--18},
issn = {0304-4149},
mrclass = {60H05},
mrnumber = {1327950},
mrreviewer = {Guang Lu Gong},
doi = {10.1016/0304-4149(95)00002-O},
url = {https://doi.org/10.1016/0304-4149(95)00002-O}
}
@Book{ karatzas.shreve:91:brownian,
author = {Karatzas, Ioannis and Shreve, Steven E.},
title = {Brownian motion and stochastic calculus},
series = {Graduate Texts in Mathematics},
volume = {113},
edition = {Second},
publisher = {Springer-Verlag, New York},
year = {1991},
pages = {xxiv+470},
isbn = {0-387-97655-8},
mrclass = {60J65 (35K99 35R60 60G44 60H10 60J60)},
mrnumber = {1121940},
doi = {10.1007/978-1-4612-0949-2},
url = {https://doi.org/10.1007/978-1-4612-0949-2}
}
@Article{ karczewska.lizama:07:stochastic,
author = {Karczewska, Anna and Lizama, Carlos},
title = {Stochastic {V}olterra equations driven by cylindrical
{W}iener process},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {7},
year = {2007},
number = {2},
pages = {373--386},
issn = {1424-3199},
mrclass = {60H20 (45D05 60H15)},
mrnumber = {2316483},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s00028-007-0302-2},
url = {https://doi.org/10.1007/s00028-007-0302-2}
}
@Article{ karczewska.zabczyk:00:regularity,
author = {Karczewska, Anna and Zabczyk, Jerzy},
title = {Regularity of solutions to stochastic {V}olterra
equations},
journal = {Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend.
Lincei (9) Mat. Appl.},
fjournal = {Atti della Accademia Nazionale dei Lincei. Classe di
Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei.
Serie IX. Matematica e Applicazioni},
volume = {11},
year = {2000},
number = {3},
pages = {141--154 (2001)},
issn = {1120-6330},
mrclass = {60H15 (35R60)},
mrnumber = {1841688},
mrreviewer = {Isamu D\^{o}ku}
}
@InCollection{ karczewska.zabczyk:00:stochastic,
author = {Karczewska, Anna and Zabczyk, Jerzy},
title = {Stochastic {PDE}'s with function-valued solutions},
booktitle = {Infinite dimensional stochastic analysis ({A}msterdam,
1999)},
series = {Verh. Afd. Natuurkd. 1. Reeks. K. Ned. Akad. Wet.},
volume = {52},
pages = {197--216},
publisher = {R. Neth. Acad. Arts Sci., Amsterdam},
year = {2000},
mrclass = {60H15 (35B30 35K05 35L05 35R60)},
mrnumber = {1832378},
mrreviewer = {Frederi G. Viens}
}
@InCollection{ karczewska.zabczyk:01:note,
author = {Karczewska, Anna and Zabczyk, Jerzy},
title = {A note on stochastic wave equations},
booktitle = {Evolution equations and their applications in physical and
life sciences ({B}ad {H}errenalb, 1998)},
series = {Lecture Notes in Pure and Appl. Math.},
volume = {215},
pages = {501--511},
publisher = {Dekker, New York},
year = {2001},
mrclass = {60H15 (35L05 35R60 47N20)},
mrnumber = {1818028},
mrreviewer = {Nicholas Frangos}
}
@Book{ karczewska:07:convolution,
author = {Karczewska, Anna},
title = {Convolution type stochastic {V}olterra equations},
series = {Lecture Notes in Nonlinear Analysis},
volume = {10},
publisher = {Juliusz Schauder Center for Nonlinear Studies, Toru\'{n}},
year = {2007},
pages = {101},
isbn = {978-83-231-2116-9},
mrclass = {60H20 (45R05 47D06 47N20)},
mrnumber = {2541635},
mrreviewer = {B. G. Pachpatte}
}
@Article{ kardar.parisi.ea:86:dynamic,
title = {Dynamic scaling of growing interfaces},
author = {Kardar, Mehran and Parisi, Giorgio and Zhang, Yi-Cheng},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {56},
number = {9},
pages = {889},
year = {1986},
doi = {10.1103/PhysRevLett.56.889},
url = {https://doi.org/10.1103/PhysRevLett.56.889},
publisher = {APS}
}
@Article{ kardar.zhang:87:scaling,
title = {Scaling of Directed Polymers in Random Media},
author = {Kardar, Mehran and Zhang, Yi-Cheng},
journal = {Phys. Rev. Lett.},
volume = {58},
issue = {20},
pages = {2087--2090},
numpages = {0},
year = {1987},
month = {May},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.58.2087},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.58.2087}
}
@Article{ kardar:85:roughening,
title = {Roughening by impurities at finite temperatures},
author = {Kardar, Mehran},
journal = {Phys. Rev. Lett.},
volume = {55},
issue = {26},
pages = {2923--2923},
numpages = {0},
year = {1985},
month = {Dec},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.55.2923},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.55.2923}
}
@Article{ kardar:87:replica,
author = {Kardar, Mehran},
title = {Replica {B}ethe ansatz studies of two-dimensional
interfaces with quenched random impurities},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {290},
year = {1987},
number = {4},
pages = {582--602},
issn = {0550-3213},
mrclass = {82A57 (82A25 82A42)},
mrnumber = {922846},
mrreviewer = {C. Eugene Wayne},
doi = {10.1016/0550-3213(87)90203-3},
url = {https://doi.org/10.1016/0550-3213(87)90203-3}
}
@Book{ karlin.taylor:75:first,
author = {Karlin, Samuel and Taylor, Howard M.},
title = {A first course in stochastic processes},
edition = {Second},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
New York-London},
year = {1975},
pages = {xvii+557},
mrclass = {60GXX (60JXX 60KXX)},
mrnumber = {356197}
}
@Article{ kassmann.mengesha.ea:19:solvability,
author = {Kassmann, Moritz and Mengesha, Tadele and Scott, James},
title = {Solvability of nonlocal systems related to peridynamics},
journal = {Commun. Pure Appl. Anal.},
fjournal = {Communications on Pure and Applied Analysis},
volume = {18},
year = {2019},
number = {3},
pages = {1303--1332},
issn = {1534-0392},
mrclass = {45K05 (35B65 35R09 74Bxx)},
mrnumber = {3917708},
mrreviewer = {Guy Aymard Degla},
doi = {10.3934/cpaa.2019063},
url = {https://doi.org/10.3934/cpaa.2019063}
}
@Book{ kato:76:perturbation,
author = {Kato, Tosio},
title = {Perturbation theory for linear operators},
series = {Grundlehren der Mathematischen Wissenschaften, Band 132},
edition = {Second},
publisher = {Springer-Verlag, Berlin-New York},
year = {1976},
pages = {xxi+619},
mrclass = {47-XX},
mrnumber = {0407617}
}
@Article{ kato:84:strong,
author = {Kato, Tosio},
title = {Strong {$L^{p}$}-solutions of the {N}avier-{S}tokes
equation in {${\bf R}^{m}$}, with applications to weak
solutions},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {187},
year = {1984},
number = {4},
pages = {471--480},
issn = {0025-5874},
mrclass = {35Q10 (76D05)},
mrnumber = {760047},
mrreviewer = {Yoshikazu Giga},
doi = {10.1007/BF01174182},
url = {https://doi.org/10.1007/BF01174182}
}
@Book{ kato:95:perturbation,
author = {Kato, Tosio},
title = {Perturbation theory for linear operators},
series = {Classics in Mathematics},
note = {Reprint of the 1980 edition},
publisher = {Springer-Verlag, Berlin},
year = {1995},
pages = {xxii+619},
isbn = {3-540-58661-X},
mrclass = {47A55 (46-00 47-00)},
mrnumber = {1335452}
}
@Article{ katz.pavlovic:05:finite,
author = {Katz, Nets Hawk and Pavlovi\'{c}, Nata\v{s}a},
title = {Finite time blow-up for a dyadic model of the {E}uler
equations},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {357},
year = {2005},
number = {2},
pages = {695--708},
issn = {0002-9947},
mrclass = {35Q35 (35B45 76B03 76D03 76D05)},
mrnumber = {2095627},
mrreviewer = {Denis Serre},
doi = {10.1090/S0002-9947-04-03532-9},
url = {https://doi.org/10.1090/S0002-9947-04-03532-9}
}
@Book{ katznelson:68:introduction,
author = {Katznelson, Yitzhak},
title = {An introduction to harmonic analysis},
publisher = {John Wiley \& Sons, Inc., New York-London-Sydney},
year = {1968},
pages = {xiv+264},
mrclass = {42.00 (46.00)},
mrnumber = {0248482},
mrreviewer = {G. I. Gaudry}
}
@Article{ kavin.majee:25:levy,
author = {Kavin, R. and Majee, Ananta K.},
title = {L\'{e}vy driven stochastic heat equation with logarithmic
nonlinearity: well-posedness and large deviation principle},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {91},
year = {2025},
number = {2},
pages = {Paper No. 51, 48},
issn = {0095-4616},
mrclass = {60H15 (35D35 35K20 35R09 35R60 60F10)},
mrnumber = {4881026},
doi = {10.1007/s00245-025-10247-5},
url = {https://doi.org/10.1007/s00245-025-10247-5}
}
@Article{ kawabi:05:parabolic,
author = {Kawabi, Hiroshi},
title = {The parabolic {H}arnack inequality for the time dependent
{G}inzburg-{L}andau type {SPDE} and its application},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {22},
year = {2005},
number = {1},
pages = {61--84},
issn = {0926-2601},
mrclass = {60H15 (47D07 60J60)},
mrnumber = {2127731},
mrreviewer = {Wilhelm Stannat},
doi = {10.1007/s11118-004-6456-4},
url = {https://doi.org/10.1007/s11118-004-6456-4}
}
@Article{ kawabi:06:simple,
author = {Kawabi, Hiroshi},
title = {A simple proof of log-{S}obolev inequalities on a path
space with {G}ibbs measures},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {9},
year = {2006},
number = {2},
pages = {321--329},
issn = {0219-0257},
mrclass = {60H15 (47D07 60J60)},
mrnumber = {2235553},
mrreviewer = {Stephen Bruce Sontz},
doi = {10.1142/S021902570600238X},
url = {https://doi.org/10.1142/S021902570600238X}
}
@Article{ kawohl.kersner:92:on,
author = {Kawohl, Bernhard and Kersner, Robert},
title = {On degenerate diffusion with very strong absorption},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {15},
year = {1992},
number = {7},
pages = {469--477},
issn = {0170-4214},
mrclass = {35K65},
mrnumber = {1180687},
mrreviewer = {Maura Ughi},
doi = {10.1002/mma.1670150703},
url = {https://doi.org/10.1002/mma.1670150703}
}
@Article{ kazakov.kostov.ea:02:matrix,
author = {Kazakov, Vladimir and Kostov, Ivan K. and Kutasov, David},
title = {A matrix model for the two-dimensional black hole},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {622},
year = {2002},
number = {1-2},
pages = {141--188},
issn = {0550-3213},
mrclass = {83C80 (81T20 81T30 83C57)},
mrnumber = {1877811},
doi = {10.1016/S0550-3213(01)00606-X},
url = {https://doi.org/10.1016/S0550-3213(01)00606-X}
}
@Article{ kazdan.warner:74:curvature,
author = {Kazdan, Jerry L. and Warner, F. W.},
title = {Curvature functions for compact {$2$}-manifolds},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {99},
year = {1974},
pages = {14--47},
issn = {0003-486X},
mrclass = {53C20 (35J05 58G15)},
mrnumber = {343205},
mrreviewer = {H. Jacobowitz},
doi = {10.2307/1971012},
url = {https://doi.org/10.2307/1971012}
}
@InCollection{ keating.snaith:11:number,
author = {Keating, J. P. and Snaith, N. C.},
title = {Number theory},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {491--509},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {11M50 (11M26 60B20)},
mrnumber = {2932644},
mrreviewer = {S. W. Graham}
}
@Book{ kechris:95:classical,
author = {Kechris, Alexander S.},
title = {Classical descriptive set theory},
series = {Graduate Texts in Mathematics},
volume = {156},
publisher = {Springer-Verlag, New York},
year = {1995},
pages = {xviii+402},
isbn = {0-387-94374-9},
mrclass = {03E15 (03-01 03-02 04A15 28A05 54H05 90D44)},
mrnumber = {1321597},
mrreviewer = {Jakub Jasi\'{n}ski},
doi = {10.1007/978-1-4612-4190-4},
url = {https://doi.org/10.1007/978-1-4612-4190-4}
}
@Book{ keener:00:principles,
author = {Keener, James P.},
title = {Principles of applied mathematics},
edition = {Revised},
note = {Transformation and approximation},
publisher = {Perseus Books, Advanced Book Program, Cambridge, MA},
year = {2000},
pages = {xx+603},
isbn = {0-7382-0129-4},
mrclass = {00A05},
mrnumber = {1741517}
}
@Article{ keller-ressel.muller:16:stefan-type,
author = {Keller-Ressel, Martin and M\"{u}ller, Marvin S.},
title = {A {S}tefan-type stochastic moving boundary problem},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {4},
year = {2016},
number = {4},
pages = {746--790},
issn = {2194-0401,2194-041X},
mrclass = {35R35 (35R60 60H15 91B70 91G80)},
mrnumber = {3554430},
mrreviewer = {Le\ Chen},
doi = {10.1007/s40072-016-0076-z},
url = {https://doi.org/10.1007/s40072-016-0076-z}
}
@Article{ keller.kersting.ea:84:on,
author = {Keller, G. and Kersting, G. and R\"{o}sler, U.},
title = {On the asymptotic behaviour of solutions of stochastic
differential equations},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {68},
year = {1984},
number = {2},
pages = {163--189},
issn = {0044-3719},
mrclass = {60H10},
mrnumber = {767799},
mrreviewer = {Michael Cranston},
doi = {10.1007/BF00531776},
url = {https://doi.org/10.1007/BF00531776}
}
@Article{ keller.segel:70:initiation,
author = {Keller, Evelyn F. and Segel, Lee A.},
title = {Initiation of slime mold aggregation viewed as an
instability},
journal = {J. Theoret. Biol.},
fjournal = {Journal of Theoretical Biology},
volume = {26},
year = {1970},
number = {3},
pages = {399--415},
issn = {0022-5193},
mrclass = {92C17 (35Q92 82C24 92C45)},
mrnumber = {3925816},
doi = {10.1016/0022-5193(70)90092-5},
url = {https://doi.org/10.1016/0022-5193(70)90092-5}
}
@Article{ keller.segel:71:model,
title = {Model for chemotaxis},
author = {Keller, Evelyn F and Segel, Lee A},
fjournal = {Journal of theoretical biology},
journal = {J. Theoret. Biol.},
volume = {30},
number = {2},
pages = {225--234},
year = {1971},
publisher = {Elsevier},
doi = {10.1016/0022-5193(71)90050-6}
}
@Article{ keller.segel:71:traveling,
title = {Traveling bands of chemotactic bacteria: a theoretical
analysis},
author = {Keller, Evelyn F and Segel, Lee A},
fjournal = {Journal of theoretical biology},
journal = {J. Theoret. Biol.},
volume = {30},
number = {2},
pages = {235--248},
year = {1971},
publisher = {Elsevier},
doi = {10.1016/0022-5193(71)90051-8}
}
@Article{ keller:57:on,
author = {Keller, J. B.},
title = {On solutions of nonlinear wave equations},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {10},
year = {1957},
pages = {523--530},
issn = {0010-3640},
mrclass = {35.00},
mrnumber = {96889},
mrreviewer = {F. W. Perkins},
doi = {10.1002/cpa.3160100404},
url = {https://doi.org/10.1002/cpa.3160100404}
}
@Article{ kelvin:87:stability,
title = {Stability of fluid motion: rectilinear motion of viscous
fluid between two parallel plates},
author = {Kelvin, Lord},
journal = {Phil. Mag},
volume = {24},
number = {5},
pages = {188--196},
year = {1887}
}
@Article{ kemp.nourdin.ea:12:wigner,
author = {Kemp, Todd and Nourdin, Ivan and Peccati, Giovanni and
Speicher, Roland},
title = {Wigner chaos and the fourth moment},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {4},
pages = {1577--1635},
issn = {0091-1798},
mrclass = {46L54 (60H07 60H30)},
mrnumber = {2978133},
mrreviewer = {Wiktor Ejsmont},
doi = {10.1214/11-AOP657},
url = {https://doi.org/10.1214/11-AOP657}
}
@Article{ kemppainen.smirnov:17:random,
author = {Kemppainen, Antti and Smirnov, Stanislav},
title = {Random curves, scaling limits and {L}oewner evolutions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {2},
pages = {698--779},
issn = {0091-1798,2168-894X},
mrclass = {60D05 (30C35 30C80 60J67 60K35 82B20 82B31)},
mrnumber = {3630286},
mrreviewer = {Dmitry\ Beliaev},
doi = {10.1214/15-AOP1074},
url = {https://doi.org/10.1214/15-AOP1074}
}
@Article{ kemppainen.smirnov:18:configurations,
author = {Kemppainen, Antti and Smirnov, Stanislav},
title = {Configurations of {FK} {I}sing interfaces and
hypergeometric {SLE}},
journal = {Math. Res. Lett.},
fjournal = {Mathematical Research Letters},
volume = {25},
year = {2018},
number = {3},
pages = {875--889},
issn = {1073-2780,1945-001X},
mrclass = {82B20 (60J67)},
mrnumber = {3847338},
doi = {10.4310/MRL.2018.v25.n3.a7},
url = {https://doi.org/10.4310/MRL.2018.v25.n3.a7}
}
@Article{ kemppainen.smirnov:19:conformal,
author = {Kemppainen, Antti and Smirnov, Stanislav},
title = {Conformal invariance of boundary touching loops of {FK}
{I}sing model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {369},
year = {2019},
number = {1},
pages = {49--98},
issn = {0010-3616,1432-0916},
mrclass = {82B20 (60J67)},
mrnumber = {3959554},
doi = {10.1007/s00220-019-03437-0},
url = {https://doi.org/10.1007/s00220-019-03437-0}
}
@Article{ kendall:80:contours,
author = {Kendall, W. S.},
title = {Contours of {B}rownian processes with several-dimensional
times},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {52},
year = {1980},
number = {3},
pages = {267--276},
issn = {0044-3719},
mrclass = {60G17 (60D05 60J65)},
mrnumber = {576887},
mrreviewer = {Shigeo Takenaka},
doi = {10.1007/BF00538891},
url = {https://doi.org/10.1007/BF00538891}
}
@Article{ kenig.pipher:93:neumann,
author = {Kenig, Carlos E. and Pipher, Jill},
title = {The {N}eumann problem for elliptic equations with
nonsmooth coefficients},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {113},
year = {1993},
number = {3},
pages = {447--509},
issn = {0020-9910},
mrclass = {35J25},
mrnumber = {1231834},
mrreviewer = {Bruno Franchi},
doi = {10.1007/BF01244315},
url = {https://doi.org/10.1007/BF01244315}
}
@Book{ kenig:94:harmonic,
author = {Kenig, Carlos E.},
title = {Harmonic analysis techniques for second order elliptic
boundary value problems},
series = {CBMS Regional Conference Series in Mathematics},
volume = {83},
publisher = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC; by the American Mathematical
Society, Providence, RI},
year = {1994},
pages = {xii+146},
isbn = {0-8218-0309-3},
mrclass = {35J25 (31B20 42B20)},
mrnumber = {1282720},
mrreviewer = {Ji\v{r}\'{i} R\'{a}kosn\'{i}k},
doi = {10.1090/cbms/083},
url = {https://doi.org/10.1090/cbms/083}
}
@Article{ kennedy:09:numerical,
author = {Kennedy, Tom},
title = {Numerical computations for the {S}chramm-{L}oewner
evolution},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {137},
year = {2009},
number = {5-6},
pages = {839--856},
issn = {0022-4715},
mrclass = {60J67 (82C31 82C80)},
mrnumber = {2570752},
doi = {10.1007/s10955-009-9866-2},
url = {https://doi.org/10.1007/s10955-009-9866-2}
}
@Article{ kenyon.propp.ea:00:trees,
author = {Kenyon, Richard W. and Propp, James G. and Wilson, David
B.},
title = {Trees and matchings},
journal = {Electron. J. Combin.},
fjournal = {Electronic Journal of Combinatorics},
volume = {7},
year = {2000},
pages = {Research Paper 25, 34},
mrclass = {05C70 (05A15 05C05 05C80)},
mrnumber = {1756162},
mrreviewer = {Timothy Y. Chow},
doi = {10.37236/1503},
url = {https://doi.org/10.37236/1503}
}
@Article{ kenyon.wilson:11:boundary,
author = {Kenyon, Richard W. and Wilson, David B.},
title = {Boundary partitions in trees and dimers},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {363},
year = {2011},
number = {3},
pages = {1325--1364},
issn = {0002-9947},
mrclass = {60C05 (05C05 05C90 60J67 82B20)},
mrnumber = {2737268},
doi = {10.1090/S0002-9947-2010-04964-5},
url = {https://doi.org/10.1090/S0002-9947-2010-04964-5}
}
@Article{ kenyon:00:conformal,
author = {Kenyon, Richard},
title = {Conformal invariance of domino tiling},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {2},
pages = {759--795},
issn = {0091-1798},
mrclass = {52C20 (05B45 05B50 82B41)},
mrnumber = {1782431},
mrreviewer = {Mihail N. Kolountzakis},
doi = {10.1214/aop/1019160260},
url = {https://doi.org/10.1214/aop/1019160260}
}
@Article{ kenyon:01:dominos,
author = {Kenyon, Richard},
title = {Dominos and the {G}aussian free field},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {29},
year = {2001},
number = {3},
pages = {1128--1137},
issn = {0091-1798},
mrclass = {82B41 (60G60 82B20)},
mrnumber = {1872739},
mrreviewer = {Almut Burchard},
doi = {10.1214/aop/1015345599},
url = {https://doi.org/10.1214/aop/1015345599}
}
@Article{ kerchev.nourdin.ea:21:local,
author = {Kerchev, George and Nourdin, Ivan and Saksman, Eero and
Viitasaari, Lauri},
title = {Local times and sample path properties of the {R}osenblatt
process},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {131},
year = {2021},
pages = {498--522},
issn = {0304-4149},
mrclass = {60G18 (60G17 60J55)},
mrnumber = {4165649},
mrreviewer = {Enrico Scalas},
doi = {10.1016/j.spa.2020.09.018},
url = {https://doi.org/10.1016/j.spa.2020.09.018}
}
@Article{ kern.meerschaert.ea:18:asymptotic,
author = {Kern, Peter and Meerschaert, Mark M. and Xiao, Yimin},
title = {Asymptotic behavior of semistable {L}\'{e}vy exponents and
applications to fractal path properties},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {31},
year = {2018},
number = {1},
pages = {598--617},
issn = {0894-9840,1572-9230},
mrclass = {60E10 (28A78 28A80 60E07 60G17 60G18 60G51 60G52)},
mrnumber = {3769826},
mrreviewer = {Anatoliy\ Malyarenko},
doi = {10.1007/s10959-016-0720-6},
url = {https://doi.org/10.1007/s10959-016-0720-6}
}
@Article{ kertesz.horvath.ea:93:self-affine,
author = {Kert\'{e}sz, J\'{a}nos and Horv\'{a}th, Viktor k. and
Weber, Ferenc},
title = {Self-affine rupture lines in paper sheets},
journal = {Fractals},
fjournal = {Fractals},
volume = {01},
number = {01},
pages = {67--74},
year = {1993},
doi = {10.1142/S0218348X93000101},
url = {https://doi.org/10.1142/S0218348X93000101},
eprint = {https://doi.org/10.1142/S0218348X93000101}
}
@Article{ kesava-menon:74:interpolation,
author = {Kesava Menon, P.},
title = {Interpolation matrices and their application to group
representation},
journal = {J. Indian Math. Soc. (N.S.)},
fjournal = {The Journal of the Indian Mathematical Society. New
Series},
volume = {38},
year = {1974},
number = {1, 2,3,4},
pages = {399--403 (1975)},
issn = {0019-5839},
mrclass = {15A09 (20G05)},
mrnumber = {414579},
mrreviewer = {Marvin Marcus}
}
@Article{ kesten.kozlov.ea:75:limit,
author = {Kesten, H. and Kozlov, M. V. and Spitzer, F.},
title = {A limit law for random walk in a random environment},
journal = {Compositio Math.},
fjournal = {Compositio Mathematica},
volume = {30},
year = {1975},
pages = {145--168},
issn = {0010-437X,1570-5846},
mrclass = {60J15 (60F05 60J80)},
mrnumber = {380998},
mrreviewer = {K.\ B.\ Erickson}
}
@Article{ kesten.ney.ea:66:galton-watson,
author = {Kesten, H. and Ney, P. and Spitzer, F.},
title = {The {G}alton-{W}atson process with mean one and finite
variance},
journal = {Teor. Verojatnost. i Primenen.},
fjournal = {Akademija Nauk SSSR. Teorija Verojatnosteu{i} i ee
Primenenija},
volume = {11},
year = {1966},
pages = {579--611},
issn = {0040-361x},
mrclass = {60.67},
mrnumber = {207052},
mrreviewer = {J.\ Wolfowitz}
}
@Article{ kesten.ornstein.ea:62:general,
author = {Kesten, H. and Ornstein, D. and Spitzer, F.},
title = {A general property of random walk},
journal = {Bull. Amer. Math. Soc.},
fjournal = {Bulletin of the American Mathematical Society},
volume = {68},
year = {1962},
pages = {526--528},
issn = {0002-9904},
mrclass = {60.66},
mrnumber = {142160},
mrreviewer = {J.\ Gillis},
doi = {10.1090/S0002-9904-1962-10808-8},
url = {https://doi.org/10.1090/S0002-9904-1962-10808-8}
}
@Article{ kesten.spitzer:63:ratio,
author = {Kesten, H. and Spitzer, F.},
title = {Ratio theorems for random walks. {I}},
journal = {J. Analyse Math.},
fjournal = {Journal d'Analyse Math\'{e}matique},
volume = {11},
year = {1963},
pages = {285--322},
issn = {0021-7670,1565-8538},
mrclass = {60.66},
mrnumber = {162279},
mrreviewer = {J.\ Gillis},
doi = {10.1007/BF02789989},
url = {https://doi.org/10.1007/BF02789989}
}
@Article{ kesten.spitzer:65:random,
author = {Kesten, H. and Spitzer, F.},
title = {Random walk on countably infinite {A}belian groups},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {114},
year = {1965},
pages = {237--265},
issn = {0001-5962,1871-2509},
mrclass = {60.66 (60.08)},
mrnumber = {195163},
mrreviewer = {T.\ Watanabe},
doi = {10.1007/BF02391823},
url = {https://doi.org/10.1007/BF02391823}
}
@Article{ kesten.spitzer:75:controlled,
author = {Kesten, Harry and Spitzer, Frank},
title = {Controlled {M}arkov chains},
journal = {Ann. Probability},
fjournal = {The Annals of Probability},
volume = {3},
year = {1975},
pages = {32--40},
issn = {0091-1798},
mrclass = {93E20},
mrnumber = {363616},
mrreviewer = {Francois\ Brodeau},
doi = {10.1214/aop/1176996445},
url = {https://doi.org/10.1214/aop/1176996445}
}
@Article{ kesten.spitzer:79:limit,
author = {Kesten, H. and Spitzer, F.},
title = {A limit theorem related to a new class of self-similar
processes},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {50},
year = {1979},
number = {1},
pages = {5--25},
issn = {0044-3719},
mrclass = {60K35 (60F05)},
mrnumber = {550121},
mrreviewer = {J.\ Theodore\ Cox},
doi = {10.1007/BF00535672},
url = {https://doi.org/10.1007/BF00535672}
}
@Article{ kesten.spitzer:84:convergence,
author = {Kesten, Harry and Spitzer, Frank},
title = {Convergence in distribution of products of random
matrices},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {67},
year = {1984},
number = {4},
pages = {363--386},
issn = {0044-3719},
mrclass = {60B15 (15A52 60J15)},
mrnumber = {761563},
mrreviewer = {E.\ Seneta},
doi = {10.1007/BF00532045},
url = {https://doi.org/10.1007/BF00532045}
}
@Article{ kesten.stigum:66:additional,
author = {Kesten, H. and Stigum, B. P.},
title = {Additional limit theorems for indecomposable
multidimensional {G}alton-{W}atson processes},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {37},
year = {1966},
pages = {1463--1481},
issn = {0003-4851},
mrclass = {60.67},
mrnumber = {200979},
mrreviewer = {I.\ J.\ Good},
doi = {10.1214/aoms/1177699139},
url = {https://doi.org/10.1214/aoms/1177699139}
}
@Article{ kesten.stigum:66:limit,
author = {Kesten, H. and Stigum, B. P.},
title = {A limit theorem for multidimensional {G}alton-{W}atson
processes},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {37},
year = {1966},
pages = {1211--1223},
issn = {0003-4851},
mrclass = {60.67},
mrnumber = {198552},
mrreviewer = {I. J. Good},
doi = {10.1214/aoms/1177699266},
url = {https://doi.org/10.1214/aoms/1177699266}
}
@Article{ kesten:06:what,
author = {Kesten, Harry},
title = {What is{$\dots$}percolation?},
journal = {Notices Amer. Math. Soc.},
fjournal = {Notices of the American Mathematical Society},
volume = {53},
year = {2006},
number = {5},
pages = {572--573},
issn = {0002-9920},
mrclass = {82B43 (60K35 82-02 82C43)},
mrnumber = {2254402},
mrreviewer = {Rongfeng Sun}
}
@Article{ kesten:59:full,
author = {Kesten, Harry},
title = {Full {B}anach mean values on countable groups},
journal = {Math. Scand.},
fjournal = {Mathematica Scandinavica},
volume = {7},
year = {1959},
pages = {146--156},
issn = {0025-5521,1903-1807},
mrclass = {46.00},
mrnumber = {112053},
mrreviewer = {E.\ Folner},
doi = {10.7146/math.scand.a-10568},
url = {https://doi.org/10.7146/math.scand.a-10568}
}
@Article{ kesten:59:symmetric,
author = {Kesten, Harry},
title = {Symmetric random walks on groups},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {92},
year = {1959},
pages = {336--354},
issn = {0002-9947,1088-6850},
mrclass = {60.00 (20.00)},
mrnumber = {109367},
mrreviewer = {H.\ Bergstr\"om},
doi = {10.2307/1993160},
url = {https://doi.org/10.2307/1993160}
}
@Article{ kesten:63:on,
author = {Kesten, Harry},
title = {On the number of self-avoiding walks},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {4},
year = {1963},
pages = {960--969},
issn = {0022-2488,1089-7658},
mrclass = {60.62},
mrnumber = {152026},
mrreviewer = {F.\ L.\ Spitzer},
doi = {10.1063/1.1704022},
url = {https://doi.org/10.1063/1.1704022}
}
@Article{ kesten:64:on,
author = {Kesten, Harry},
title = {On the number of self-avoiding walks. {II}},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {5},
year = {1964},
pages = {1128--1137},
issn = {0022-2488},
mrclass = {60.66},
mrnumber = {166845},
mrreviewer = {F. L. Spitzer},
doi = {10.1063/1.1704216},
url = {https://doi.org/10.1063/1.1704216}
}
@Article{ kesten:66:on,
author = {Kesten, Harry},
title = {On a conjecture of {E}rd\H os and {S}z\"usz related to
uniform distribution {${\rm mod}\ 1$}},
journal = {Acta Arith.},
fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica},
volume = {12},
year = {1966/67},
pages = {193--212},
issn = {0065-1036},
mrclass = {10.33},
mrnumber = {209253},
mrreviewer = {P.\ Sz\"usz},
doi = {10.4064/aa-12-2-193-212},
url = {https://doi.org/10.4064/aa-12-2-193-212}
}
@Article{ kesten:73:random,
author = {Kesten, Harry},
title = {Random difference equations and renewal theory for
products of random matrices},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {131},
year = {1973},
pages = {207--248},
issn = {0001-5962,1871-2509},
mrclass = {60K05 (60K15)},
mrnumber = {440724},
mrreviewer = {K.\ B.\ Erickson},
doi = {10.1007/BF02392040},
url = {https://doi.org/10.1007/BF02392040}
}
@Article{ kesten:80:critical,
author = {Kesten, Harry},
title = {The critical probability of bond percolation on the square
lattice equals {${1\over 2}$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {74},
year = {1980},
number = {1},
pages = {41--59},
issn = {0010-3616,1432-0916},
mrclass = {60K35 (82A42 82A67)},
mrnumber = {575895},
mrreviewer = {R.\ T.\ Smythe},
url = {http://projecteuclid.org/euclid.cmp/1103907931}
}
@Book{ kesten:82:percolation,
author = {Kesten, Harry},
title = {Percolation theory for mathematicians},
series = {Progress in Probability and Statistics},
volume = {2},
publisher = {Birkh\"{a}user, Boston, MA},
year = {1982},
pages = {iv+423},
isbn = {3-7643-3107-0},
mrclass = {60K35 (05C70 82A43)},
mrnumber = {692943},
mrreviewer = {R. T. Smythe}
}
@InCollection{ kesten:86:aspects,
author = {Kesten, Harry},
title = {Aspects of first passage percolation},
booktitle = {\'{E}cole d'\'{e}t\'{e} de probabilit\'{e}s de
{S}aint-{F}lour, {XIV}---1984},
series = {Lecture Notes in Math.},
volume = {1180},
pages = {125--264},
publisher = {Springer, Berlin},
year = {1986},
mrclass = {60K35 (82A43)},
mrnumber = {876084},
mrreviewer = {J. Theodore Cox},
doi = {10.1007/BFb0074919},
url = {https://doi.org/10.1007/BFb0074919}
}
@Article{ kesten:86:incipient,
author = {Kesten, Harry},
title = {The incipient infinite cluster in two-dimensional
percolation},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {73},
year = {1986},
number = {3},
pages = {369--394},
issn = {0178-8051,1432-2064},
mrclass = {60K35},
mrnumber = {859839},
mrreviewer = {R.\ T.\ Smythe},
doi = {10.1007/BF00776239},
url = {https://doi.org/10.1007/BF00776239}
}
@Article{ kesten:86:subdiffusive,
author = {Kesten, Harry},
title = {Subdiffusive behavior of random walk on a random cluster},
journal = {Ann. Inst. H. Poincar\'e{} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'e. Probabilit\'es et
Statistique},
volume = {22},
year = {1986},
number = {4},
pages = {425--487},
issn = {0246-0203},
mrclass = {60K35 (60J15)},
mrnumber = {871905},
mrreviewer = {T.\ M.\ Liggett},
url = {http://www.numdam.org/item?id=AIHPB_1986__22_4_425_0}
}
@Article{ kesten:87:scaling,
author = {Kesten, Harry},
title = {Scaling relations for {$2$}D-percolation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {109},
year = {1987},
number = {1},
pages = {109--156},
issn = {0010-3616,1432-0916},
mrclass = {60K35 (82A43)},
mrnumber = {879034},
mrreviewer = {R.\ T.\ Smythe},
url = {http://projecteuclid.org/euclid.cmp/1104116714}
}
@Article{ kesten:93:on,
author = {Kesten, Harry},
title = {On the speed of convergence in first-passage percolation},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {3},
year = {1993},
number = {2},
pages = {296--338},
issn = {1050-5164},
mrclass = {60K35 (60F05 60F10)},
mrnumber = {1221154},
mrreviewer = {John C. Wierman},
url = {http://links.jstor.org/sici?sici=1050-5164(199305)3:2<296:OTSOCI>2.0.CO;2-U&origin=MSN}
}
@Book{ kevorkian:00:partial,
author = {Kevorkian, J.},
title = {Partial differential equations},
series = {Texts in Applied Mathematics},
volume = {35},
edition = {Second},
note = {Analytical solution techniques},
publisher = {Springer-Verlag, New York},
year = {2000},
pages = {xii+636},
isbn = {0-387-98605-7},
mrclass = {35-01},
mrnumber = {1728947},
doi = {10.1007/978-1-4757-3266-5},
url = {https://doi.org/10.1007/978-1-4757-3266-5}
}
@Article{ khasminskii.zeitouni:96:asymptotic,
author = {Khasminskii, Rafail and Zeitouni, Ofer},
title = {Asymptotic filtering for finite state {M}arkov chains},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {63},
year = {1996},
number = {1},
pages = {1--10},
issn = {0304-4149,1879-209X},
mrclass = {93E11 (60J10 62M05)},
mrnumber = {1411186},
mrreviewer = {Fred\ Espen\ Benth},
doi = {10.1016/0304-4149(96)00060-9},
url = {https://doi.org/10.1016/0304-4149(96)00060-9}
}
@Book{ khasminskii:12:stochastic,
author = {Khasminskii, Rafail},
title = {Stochastic stability of differential equations},
series = {Stochastic Modelling and Applied Probability},
volume = {66},
edition = {second},
note = {With contributions by G. N. Milstein and M. B. Nevelson},
publisher = {Springer, Heidelberg},
year = {2012},
pages = {xviii+339},
isbn = {978-3-642-23279-4},
mrclass = {60H10 (34F05 60J60 93E15 94A12)},
mrnumber = {2894052},
mrreviewer = {Vivek S. Borkar},
doi = {10.1007/978-3-642-23280-0},
url = {https://doi.org/10.1007/978-3-642-23280-0}
}
@Article{ khorunzhy.khoruzhenko.ea:96:asymptotic,
author = {Khorunzhy, Alexei M. and Khoruzhenko, Boris A. and Pastur,
Leonid A.},
title = {Asymptotic properties of large random matrices with
independent entries},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {37},
year = {1996},
number = {10},
pages = {5033--5060},
issn = {0022-2488},
mrclass = {82B44 (60F99 60H25)},
mrnumber = {1411619},
mrreviewer = {Jacobus Verbaarschot},
doi = {10.1063/1.531589},
url = {https://doi.org/10.1063/1.531589}
}
@InCollection{ khoruzhenko.sommers:11:non-hermitian,
author = {Khoruzhenko, Boris A. and Sommers, Hans-J\"{u}rgen},
title = {Non-{H}ermitian ensembles},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {376--397},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60B20 (60-02)},
mrnumber = {2932638},
mrreviewer = {Olivier Marchal}
}
@Article{ khoshnevisan.kim.ea:17:intermittency,
author = {Khoshnevisan, Davar and Kim, Kunwoo and Xiao, Yimin},
title = {Intermittency and multifractality: a case study via
parabolic stochastic {PDE}s},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {6A},
pages = {3697--3751},
issn = {0091-1798},
mrclass = {60H15 (35K15 35R60 60K37)},
mrnumber = {3729613},
mrreviewer = {Le Chen},
doi = {10.1214/16-AOP1147},
url = {https://doi.org/10.1214/16-AOP1147}
}
@Article{ khoshnevisan.kim.ea:18:macroscopic,
author = {Khoshnevisan, Davar and Kim, Kunwoo and Xiao, Yimin},
title = {A macroscopic multifractal analysis of parabolic
stochastic {PDE}s},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {360},
year = {2018},
number = {1},
pages = {307--346},
issn = {0010-3616},
mrclass = {60H15 (28A80 60G17)},
mrnumber = {3795193},
mrreviewer = {Vadym M. Radchenko},
doi = {10.1007/s00220-018-3136-6},
url = {https://doi.org/10.1007/s00220-018-3136-6}
}
@Article{ khoshnevisan.kim.ea:20:dissipation,
author = {Khoshnevisan, Davar and Kim, Kunwoo and Mueller, Carl and
Shiu, Shang-Yuan},
title = {Dissipation in parabolic {SPDE}s},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {179},
year = {2020},
number = {2},
pages = {502--534},
issn = {0022-4715},
mrclass = {60H15 (35R60)},
mrnumber = {4091567},
mrreviewer = {Petru A. Cioica-Licht},
doi = {10.1007/s10955-020-02540-0},
url = {https://doi.org/10.1007/s10955-020-02540-0}
}
@Article{ khoshnevisan.kim.ea:23:dissipation,
author = {Khoshnevisan, Davar and Kim, Kunwoo and Mueller, Carl},
title = {Dissipation in parabolic {SPDE}s {II}: {O}scillation and
decay of the solution},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {59},
year = {2023},
number = {3},
pages = {1610--1641},
issn = {0246-0203,1778-7017},
mrclass = {60H15 (35R60)},
mrnumber = {4635721},
doi = {10.1214/22-aihp1289},
url = {https://doi.org/10.1214/22-aihp1289}
}
@Article{ khoshnevisan.kim.ea:23:phase,
author = {Khoshnevisan, Davar and Kim, Kunwoo and Mueller, Carl and
Shiu, Shang-Yuan},
title = {Phase analysis for a family of stochastic
reaction-diffusion equations},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {28},
year = {2023},
pages = {Paper No. 101, 66},
issn = {1083-6489},
mrclass = {60H15 (35R60)},
mrnumber = {4620551},
doi = {10.1214/23-ejp983},
url = {https://doi.org/10.1214/23-ejp983}
}
@Article{ khoshnevisan.kim.ea:23:small-ball,
title = {Small-ball constants, and exceptional flat points of
SPDEs},
author = {Davar Khoshnevisan and Kunwoo Kim and Carl Mueller},
year = {2023},
month = {December},
journal = {Preprint arXiv:2312.05789},
url = {http://arXiv.org/abs/2312.05789}
}
@Article{ khoshnevisan.kim.ea:24:on,
author = {Khoshnevisan, Davar and Kim, Kunwoo and Mueller, Carl},
title = {On the valleys of the stochastic heat equation},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {34},
year = {2024},
number = {1B},
pages = {1177--1198},
issn = {1050-5164},
mrclass = {60H15 (35K05 35R60)},
mrnumber = {4700256},
mrreviewer = {Le Chen},
doi = {10.1214/23-aap1988},
url = {https://doi.org/10.1214/23-aap1988}
}
@Article{ khoshnevisan.kim.ea:24:small-ball,
author = {Khoshnevisan, Davar and Kim, Kunwoo and Mueller, Carl},
title = {Small-ball constants, and exceptional flat points of
{SPDE}s},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {29},
year = {2024},
pages = {Paper No. 180, 31},
mrclass = {60H15 (60F99 60G17)},
mrnumber = {4838436},
doi = {10.1214/24-ejp1242},
url = {https://doi.org/10.1214/24-ejp1242}
}
@Article{ khoshnevisan.kim:15:non-linear,
author = {Khoshnevisan, Davar and Kim, Kunwoo},
title = {Non-linear noise excitation and intermittency under high
disorder},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {143},
year = {2015},
number = {9},
pages = {4073--4083},
issn = {0002-9939},
mrclass = {60H15 (35K20 35R60 60H25 60K37)},
mrnumber = {3359595},
mrreviewer = {Vassili N. Kolokol{\cprime}tsov},
doi = {10.1090/S0002-9939-2015-12517-8},
url = {https://doi.org/10.1090/S0002-9939-2015-12517-8}
}
@Article{ khoshnevisan.kim:15:nonlinear,
author = {Khoshnevisan, Davar and Kim, Kunwoo},
title = {Nonlinear noise excitation of intermittent stochastic
{PDE}s and the topology of {LCA} groups},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {4},
pages = {1944--1991},
issn = {0091-1798},
mrclass = {60H15 (35R60 60B15 60H25 60K37)},
mrnumber = {3353819},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1214/14-AOP925},
url = {https://doi.org/10.1214/14-AOP925}
}
@Article{ khoshnevisan.lee.ea:25:uniform,
title = {Uniform dimension theorems for parabolic SPDEs},
author = {Davar Khoshnevisan and Cheuk Yin Lee and Fei Pu and Yimin
Xiao},
year = {2025},
month = {November},
journal = {Preprint arXiv:2511.04938},
url = {http://arXiv.org/abs/2511.04938}
}
@Article{ khoshnevisan.lee:25:on,
title = {On the passage times of self-similar Gaussian processes on
curved boundaries},
author = {Davar Khoshnevisan and Cheuk Yin Lee},
year = {2025},
month = {June},
journal = {Preprint arXiv:2506.15949},
url = {http://arXiv.org/abs/2506.15949}
}
@Article{ khoshnevisan.levin.ea:05:extreme-value,
author = {Khoshnevisan, Davar and Levin, David A. and Shi, Zhan},
title = {An extreme-value analysis of the {LIL} for {B}rownian
motion},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {10},
year = {2005},
pages = {196--206},
issn = {1083-589X},
mrclass = {60J65 (60F05)},
mrnumber = {2175401},
mrreviewer = {Boualem Djehiche},
doi = {10.1214/ECP.v10-1154},
url = {https://doi.org/10.1214/ECP.v10-1154}
}
@Article{ khoshnevisan.levin.ea:05:on,
author = {Khoshnevisan, Davar and Levin, David A. and
M\'{e}ndez-Hern\'{a}ndez, Pedro J.},
title = {On dynamical {G}aussian random walks},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {4},
pages = {1452--1478},
issn = {0091-1798},
mrclass = {60J25 (28C20 60F10 60J05)},
mrnumber = {2150195},
mrreviewer = {Roman Urban},
doi = {10.1214/009117904000001044},
url = {https://doi.org/10.1214/009117904000001044}
}
@Article{ khoshnevisan.levin.ea:06:exceptional,
author = {Khoshnevisan, Davar and Levin, David A. and
M\'{e}ndez-Hern\'{a}ndez, Pedro J.},
title = {Exceptional times and invariance for dynamical random
walks},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {134},
year = {2006},
number = {3},
pages = {383--416},
issn = {0178-8051},
mrclass = {60J25 (28A78 28C20 60F05 60F17)},
mrnumber = {2226886},
mrreviewer = {Michele Zito},
doi = {10.1007/s00440-005-0435-6},
url = {https://doi.org/10.1007/s00440-005-0435-6}
}
@Article{ khoshnevisan.levin.ea:08:capacities,
author = {Khoshnevisan, Davar and Levin, David A. and
M\'{e}ndez-Hern\'{a}ndez, Pedro J.},
title = {Capacities in {W}iener space, quasi-sure lower functions,
and {K}olmogorov's {$\epsilon$}-entropy},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {118},
year = {2008},
number = {10},
pages = {1723--1737},
issn = {0304-4149},
mrclass = {60J45 (28C20)},
mrnumber = {2454462},
mrreviewer = {Ren Ming Song},
doi = {10.1016/j.spa.2007.10.014},
url = {https://doi.org/10.1016/j.spa.2007.10.014}
}
@Article{ khoshnevisan.lewis.ea:94:on,
author = {Khoshnevisan, Davar and Lewis, Thomas M. and Li, Wenbo
V.},
title = {On the future infima of some transient processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {99},
year = {1994},
number = {3},
pages = {337--360},
issn = {0178-8051},
mrclass = {60G17 (60J15 60J65)},
mrnumber = {1283116},
mrreviewer = {S. J. Taylor},
doi = {10.1007/BF01199896},
url = {https://doi.org/10.1007/BF01199896}
}
@Article{ khoshnevisan.lewis.ea:96:on,
author = {Khoshnevisan, Davar and Lewis, Thomas M. and Shi, Zhan},
title = {On a problem of {E}rd\H{o}s and {T}aylor},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {2},
pages = {761--787},
issn = {0091-1798},
mrclass = {60J65 (60G17)},
mrnumber = {1404527},
mrreviewer = {Krzysztof Burdzy},
doi = {10.1214/aop/1039639361},
url = {https://doi.org/10.1214/aop/1039639361}
}
@Article{ khoshnevisan.lewis:03:optimal,
author = {Khoshnevisan, Davar and Lewis, Thomas M.},
title = {Optimal reward on a sparse tree with random edge weights},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {40},
year = {2003},
number = {4},
pages = {926--945},
issn = {0021-9002},
mrclass = {60G50 (60C05)},
mrnumber = {2012677},
mrreviewer = {Ken-ichi Yoshihara},
doi = {10.1017/s0021900200020209},
url = {https://doi.org/10.1017/s0021900200020209}
}
@Article{ khoshnevisan.lewis:95:favorite,
author = {Khoshnevisan, Davar and Lewis, Thomas M.},
title = {The favorite point of a {P}oisson process},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {57},
year = {1995},
number = {1},
pages = {19--38},
issn = {0304-4149},
mrclass = {60G55 (60F15)},
mrnumber = {1327951},
mrreviewer = {Raul Gouet},
doi = {10.1016/0304-4149(94)00077-7},
url = {https://doi.org/10.1016/0304-4149(94)00077-7}
}
@Article{ khoshnevisan.lewis:96:chungs,
author = {Khoshnevisan, Davar and Lewis, Thomas M.},
title = {Chung's law of the iterated logarithm for iterated
{B}rownian motion},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {32},
year = {1996},
number = {3},
pages = {349--359},
issn = {0246-0203},
mrclass = {60J65 (60F17 60G17 60G18)},
mrnumber = {1387394},
mrreviewer = {Zhan Shi},
url = {http://www.numdam.org/item?id=AIHPB_1996__32_3_349_0}
}
@Article{ khoshnevisan.lewis:96:uniform,
author = {Khoshnevisan, Davar and Lewis, Thomas M.},
title = {The uniform modulus of continuity of iterated {B}rownian
motion},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {9},
year = {1996},
number = {2},
pages = {317--333},
issn = {0894-9840},
mrclass = {60J65 (60G17)},
mrnumber = {1385400},
mrreviewer = {Zhan Shi},
doi = {10.1007/BF02214652},
url = {https://doi.org/10.1007/BF02214652}
}
@Article{ khoshnevisan.lewis:98:law,
author = {Khoshnevisan, Davar and Lewis, Thomas M.},
title = {A law of the iterated logarithm for stable processes in
random scenery},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {74},
year = {1998},
number = {1},
pages = {89--121},
issn = {0304-4149},
mrclass = {60J30 (60F15 60J55)},
mrnumber = {1624017},
mrreviewer = {Mamoru Kanda},
doi = {10.1016/S0304-4149(97)00105-1},
url = {https://doi.org/10.1016/S0304-4149(97)00105-1}
}
@InCollection{ khoshnevisan.lewis:99:iterated,
author = {Khoshnevisan, Davar and Lewis, Thomas M.},
title = {Iterated {B}rownian motion and its intrinsic skeletal
structure},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications ({A}scona, 1996)},
series = {Progr. Probab.},
volume = {45},
pages = {201--210},
publisher = {Birkh\"{a}user, Basel},
year = {1999},
mrclass = {60J65 (60G18)},
mrnumber = {1712242}
}
@Article{ khoshnevisan.lewis:99:stochastic,
author = {Khoshnevisan, Davar and Lewis, Thomas M.},
title = {Stochastic calculus for {B}rownian motion on a {B}rownian
fracture},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {9},
year = {1999},
number = {3},
pages = {629--667},
issn = {1050-5164},
mrclass = {60H05 (60J65)},
mrnumber = {1722276},
doi = {10.1214/aoap/1029962807},
url = {https://doi.org/10.1214/aoap/1029962807}
}
@Article{ khoshnevisan.nualart.ea:21:spatial,
author = {Khoshnevisan, Davar and Nualart, David and Pu, Fei},
title = {Spatial stationarity, ergodicity, and {CLT} for parabolic
{A}nderson model with delta initial condition in dimension
{$d\geq1$}},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {53},
year = {2021},
number = {2},
pages = {2084--2133},
issn = {0036-1410},
mrclass = {60H15 (60F05 60H07)},
mrnumber = {4242879},
doi = {10.1137/20M1350418},
url = {https://doi.org/10.1137/20M1350418}
}
@Article{ khoshnevisan.nualart:08:level,
author = {Khoshnevisan, Davar and Nualart, Eulalia},
title = {Level sets of the stochastic wave equation driven by a
symmetric {L}\'{e}vy noise},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {14},
year = {2008},
number = {4},
pages = {899--925},
issn = {1350-7265},
mrclass = {60H15},
mrnumber = {2543579},
mrreviewer = {Sergey V. Lototsky},
doi = {10.3150/08-BEJ133},
url = {https://doi.org/10.3150/08-BEJ133}
}
@InCollection{ khoshnevisan.pemantle:00:sojourn,
author = {Khoshnevisan, D. and Pemantle, R.},
title = {Sojourn times of {B}rownian sheet},
note = {Endre Cs\'{a}ki 65},
journal = {Period. Math. Hungar.},
fjournal = {Periodica Mathematica Hungarica. Journal of the J\'{a}nos
Bolyai Mathematical Society},
volume = {41},
year = {2000},
number = {1-2},
pages = {187--194},
issn = {0031-5303},
mrclass = {60G60 (60G15)},
mrnumber = {1812805},
mrreviewer = {Qi Man Shao},
doi = {10.1023/A:1010324606980},
url = {https://doi.org/10.1023/A:1010324606980}
}
@Article{ khoshnevisan.peres.ea:00:limsup,
author = {Khoshnevisan, Davar and Peres, Yuval and Xiao, Yimin},
title = {Limsup random fractals},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {5},
year = {2000},
pages = {no. 5, 24},
issn = {1083-6489},
mrclass = {60J65 (28A80 60D05 60G17)},
mrnumber = {1743726},
mrreviewer = {Norbert Patzschke},
doi = {10.1214/EJP.v5-60},
url = {https://doi.org/10.1214/EJP.v5-60}
}
@Article{ khoshnevisan.revesz.ea:04:on,
author = {Khoshnevisan, Davar and R\'{e}v\'{e}sz, P\'{a}l and Shi,
Zhan},
title = {On the explosion of the local times along lines of
{B}rownian sheet},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {40},
year = {2004},
number = {1},
pages = {1--24},
issn = {0246-0203},
mrclass = {60J55 (60G15 60G60 60J65)},
mrnumber = {2037469},
mrreviewer = {Peter M\"{o}rters},
doi = {10.1016/S0246-0203(03)00057-8},
url = {https://doi.org/10.1016/S0246-0203(03)00057-8}
}
@Article{ khoshnevisan.revesz.ea:05:level,
author = {Khoshnevisan, Davar and R\'{e}v\'{e}sz, P\'{a}l and Shi,
Zhan},
title = {Level crossings of a two-parameter random walk},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {115},
year = {2005},
number = {3},
pages = {359--380},
issn = {0304-4149},
mrclass = {60G15 (60F17 60G50 60J55)},
mrnumber = {2118283},
mrreviewer = {Robert C. Dalang},
doi = {10.1016/j.spa.2004.09.010},
url = {https://doi.org/10.1016/j.spa.2004.09.010}
}
@InCollection{ khoshnevisan.revesz:10:zeros,
author = {Khoshnevisan, Davar and R\'{e}v\'{e}sz, P\'{a}l},
title = {Zeros of a two-parameter random walk},
booktitle = {Dependence in probability, analysis and number theory},
pages = {265--278},
publisher = {Kendrick Press, Heber City, UT},
year = {2010},
mrclass = {60G50},
mrnumber = {2731066},
mrreviewer = {Aihua Xia}
}
@Article{ khoshnevisan.salminen.ea:06:note,
author = {Khoshnevisan, Davar and Salminen, Paavo and Yor, Marc},
title = {A note on a.s. finiteness of perpetual integral
functionals of diffusions},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {11},
year = {2006},
pages = {108--117},
issn = {1083-589X},
mrclass = {60J60 (60J65)},
mrnumber = {2231738},
mrreviewer = {Iddo Ben-Ari},
doi = {10.1214/ECP.v11-1203},
url = {https://doi.org/10.1214/ECP.v11-1203}
}
@Article{ khoshnevisan.sanz-sole:22:optimal,
title = {Optimal regularity of SPDEs with additive noise},
author = {Davar Khoshnevisan and Marta Sanz-Sol\'e},
year = {2022},
month = {August},
journal = {Preprint arXiv:2208.01728},
url = {http://arXiv.org/abs/2208.01728}
}
@Article{ khoshnevisan.sanz-sole:23:optimal,
author = {Khoshnevisan, Davar and Sanz-Sol\'e, Marta},
title = {Optimal regularity of {SPDE}s with additive noise},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {28},
year = {2023},
pages = {Paper No. 142, 31},
issn = {1083-6489},
mrclass = {60H15 (35B65 35E05 35R60 60G51 60G60)},
mrnumber = {4668856},
mrreviewer = {Jian\ Song},
doi = {10.1214/23-ejp1043},
url = {https://doi.org/10.1214/23-ejp1043}
}
@Article{ khoshnevisan.sarantsev:19:talagrand,
author = {Khoshnevisan, Davar and Sarantsev, Andrey},
title = {Talagrand concentration inequalities for stochastic
partial differential equations},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {7},
year = {2019},
number = {4},
pages = {679--698},
issn = {2194-0401},
mrclass = {60E15 (35R60 60H15 60J60)},
mrnumber = {4022285},
mrreviewer = {Rafa\l Marcin \L ochowski},
doi = {10.1007/s40072-019-00136-8},
url = {https://doi.org/10.1007/s40072-019-00136-8}
}
@Article{ khoshnevisan.schilling.ea:12:packing,
author = {Khoshnevisan, D. and Schilling, R. L. and Xiao, Y.},
title = {Packing dimension profiles and {L}\'{e}vy processes},
journal = {Bull. Lond. Math. Soc.},
fjournal = {Bulletin of the London Mathematical Society},
volume = {44},
year = {2012},
number = {5},
pages = {931--943},
issn = {0024-6093},
mrclass = {60G17 (28A80 60G51 60J25)},
mrnumber = {2975152},
mrreviewer = {Anatoliy Malyarenko},
doi = {10.1112/blms/bds022},
url = {https://doi.org/10.1112/blms/bds022}
}
@Book{ khoshnevisan.schilling:16:from,
author = {Khoshnevisan, Davar and Schilling, Ren\'{e}},
title = {From {L}\'{e}vy-type processes to parabolic {SPDE}s},
series = {Advanced Courses in Mathematics. CRM Barcelona},
note = {Edited by Llu\'{i}s Quer-Sardanyons and Frederic Utzet},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2016},
pages = {vii+219},
isbn = {978-3-319-34119-4; 978-3-319-34120-0},
mrclass = {60-06 (60-02 60G51 60H15 60J25 60J35)},
mrnumber = {3587832},
doi = {10.1007/978-3-319-34120-0},
url = {https://doi.org/10.1007/978-3-319-34120-0}
}
@InCollection{ khoshnevisan.shi:00:fast,
author = {Khoshnevisan, Davar and Shi, Zhan},
title = {Fast sets and points for fractional {B}rownian motion},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXXIV}},
series = {Lecture Notes in Math.},
volume = {1729},
pages = {393--416},
publisher = {Springer, Berlin},
year = {2000},
mrclass = {60G17 (60G15 60G18)},
mrnumber = {1768077},
mrreviewer = {Laurent Decreusefond},
doi = {10.1007/BFb0103816},
url = {https://doi.org/10.1007/BFb0103816}
}
@Article{ khoshnevisan.shi:98:chungs,
author = {Khoshnevisan, Davar and Shi, Zhan},
title = {Chung's law for integrated {B}rownian motion},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {350},
year = {1998},
number = {10},
pages = {4253--4264},
issn = {0002-9947},
mrclass = {60G15 (60F15 60J55 60J65)},
mrnumber = {1443196},
mrreviewer = {Qi Man Shao},
doi = {10.1090/S0002-9947-98-02011-X},
url = {https://doi.org/10.1090/S0002-9947-98-02011-X}
}
@InCollection{ khoshnevisan.shi:98:gaussian,
author = {Khoshnevisan, Davar and Shi, Zhan},
title = {Gaussian measure of a small ball and capacity in {W}iener
space},
booktitle = {Asymptotic methods in probability and statistics
({O}ttawa, {ON}, 1997)},
pages = {453--465},
publisher = {North-Holland, Amsterdam},
year = {1998},
mrclass = {60G15 (60F99 60H07)},
mrnumber = {1661498},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1016/B978-044450083-0/50030-7},
url = {https://doi.org/10.1016/B978-044450083-0/50030-7}
}
@Article{ khoshnevisan.shi:99:brownian,
author = {Khoshnevisan, Davar and Shi, Zhan},
title = {Brownian sheet and capacity},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {27},
year = {1999},
number = {3},
pages = {1135--1159},
issn = {0091-1798},
mrclass = {60J45 (31C15 60G17 60G60)},
mrnumber = {1733143},
mrreviewer = {Patrick Fitzsimmons},
doi = {10.1214/aop/1022677442},
url = {https://doi.org/10.1214/aop/1022677442}
}
@Article{ khoshnevisan.shieh.ea:08:hausdorff,
author = {Khoshnevisan, Davar and Shieh, Narn-Rueih and Xiao,
Yimin},
title = {Hausdorff dimension of the contours of symmetric additive
{L}\'{e}vy processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {140},
year = {2008},
number = {1-2},
pages = {129--167},
issn = {0178-8051},
mrclass = {60G51 (28A80 60D05 60G17 60J25)},
mrnumber = {2357673},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1007/s00440-007-0060-7},
url = {https://doi.org/10.1007/s00440-007-0060-7}
}
@Article{ khoshnevisan.shieh.ea:09:erratum,
author = {Khoshnevisan, Davar and Shieh, Narn-Rueih and Xiao,
Yimin},
title = {Erratum: {H}ausdorff dimension of the contours of
symmetric additive {L}\'{e}vy processes [MR2357673]},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {143},
year = {2009},
number = {3-4},
pages = {665--666},
issn = {0178-8051},
mrclass = {60G51 (28A80 60D05 60G17 60J25)},
mrnumber = {2475679},
doi = {10.1007/s00440-008-0184-4},
url = {https://doi.org/10.1007/s00440-008-0184-4}
}
@Article{ khoshnevisan.swanson.ea:13:weak,
title = {Weak existence of a solution to a differential equation
driven by a very rough fBm},
author = {Davar Khoshnevisan and Jason Swanson and Yimin Xiao and
Liang Zhang},
year = {2013},
month = {September},
journal = {Preprint arXiv:1309.3613},
url = {http://arXiv.org/abs/1309.3613}
}
@Article{ khoshnevisan.waymire:17:conversation,
author = {Khoshnevisan, Davar and Waymire, Edward},
title = {A conversation with {M}u-{F}a {C}hen},
journal = {Notices Amer. Math. Soc.},
fjournal = {Notices of the American Mathematical Society},
volume = {64},
year = {2017},
number = {6},
pages = {616--619},
issn = {0002-9920},
mrclass = {01A70},
mrnumber = {3585538},
doi = {10.1090/noti1533},
url = {https://doi.org/10.1090/noti1533}
}
@Article{ khoshnevisan.wu.ea:06:sectorial,
author = {Khoshnevisan, Davar and Wu, Dongsheng and Xiao, Yimin},
title = {Sectorial local non-determinism and the geometry of the
{B}rownian sheet},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {11},
year = {2006},
pages = {no. 32, 817--843},
issn = {1083-6489},
mrclass = {60G15 (28A80 60G17)},
mrnumber = {2261054},
mrreviewer = {Hong Xue},
doi = {10.1214/EJP.v11-353},
url = {https://doi.org/10.1214/EJP.v11-353}
}
@Article{ khoshnevisan.xiao.ea:03:local,
author = {Khoshnevisan, Davar and Xiao, Yimin and Zhong, Yuquan},
title = {Local times of additive {L}\'{e}vy processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {104},
year = {2003},
number = {2},
pages = {193--216},
issn = {0304-4149},
mrclass = {60G17 (60G51 60J55)},
mrnumber = {1961619},
mrreviewer = {Lo\"{i}c Chaumont},
doi = {10.1016/S0304-4149(02)00237-5},
url = {https://doi.org/10.1016/S0304-4149(02)00237-5}
}
@Article{ khoshnevisan.xiao.ea:03:measuring,
author = {Khoshnevisan, Davar and Xiao, Yimin and Zhong, Yuquan},
title = {Measuring the range of an additive {L}\'{e}vy process},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {2},
pages = {1097--1141},
issn = {0091-1798},
mrclass = {60G60 (28A20 60G51 60G52 60J45 60J55)},
mrnumber = {1964960},
mrreviewer = {Suresh V. Lawande},
doi = {10.1214/aop/1048516547},
url = {https://doi.org/10.1214/aop/1048516547}
}
@InCollection{ khoshnevisan.xiao:00:images,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {Images and level sets of additive random walks},
booktitle = {High dimensional probability, {II} ({S}eattle, {WA},
1999)},
series = {Progr. Probab.},
volume = {47},
pages = {329--345},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2000},
mrclass = {60G50 (60G60 60J45)},
mrnumber = {1857331},
mrreviewer = {D. Butkovi\'{c}}
}
@Article{ khoshnevisan.xiao:02:level,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {Level sets of additive {L}\'{e}vy processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {30},
year = {2002},
number = {1},
pages = {62--100},
issn = {0091-1798},
mrclass = {60G60 (28A80 60D05 60J45)},
mrnumber = {1894101},
mrreviewer = {Ingo Fahrner},
doi = {10.1214/aop/1020107761},
url = {https://doi.org/10.1214/aop/1020107761}
}
@Article{ khoshnevisan.xiao:03:weak,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {Weak unimodality of finite measures, and an application to
potential theory of additive {L}\'{e}vy processes},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {131},
year = {2003},
number = {8},
pages = {2611--2616},
issn = {0002-9939},
mrclass = {60E05 (60E07 60G51 60J45)},
mrnumber = {1974662},
mrreviewer = {Mamoru Kanda},
doi = {10.1090/S0002-9939-02-06778-3},
url = {https://doi.org/10.1090/S0002-9939-02-06778-3}
}
@InCollection{ khoshnevisan.xiao:04:additive,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {Additive {L}\'{e}vy processes: capacity and {H}ausdorff
dimension},
booktitle = {Fractal geometry and stochastics {III}},
series = {Progr. Probab.},
volume = {57},
pages = {151--170},
publisher = {Birkh\"{a}user, Basel},
year = {2004},
mrclass = {60G17 (28A80 60G48 60G51 60J25 60J45)},
mrnumber = {2087138},
mrreviewer = {Ren\'{e} L. Schilling}
}
@Article{ khoshnevisan.xiao:05:levy,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {L\'{e}vy processes: capacity and {H}ausdorff dimension},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {3},
pages = {841--878},
issn = {0091-1798},
mrclass = {60G51 (28A78 28A80 60G17 60J25)},
mrnumber = {2135306},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1214/009117904000001026},
url = {https://doi.org/10.1214/009117904000001026}
}
@Article{ khoshnevisan.xiao:07:images,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {Images of the {B}rownian sheet},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {359},
year = {2007},
number = {7},
pages = {3125--3151},
issn = {0002-9947},
mrclass = {60G15 (28A80 60G17 60J45)},
mrnumber = {2299449},
mrreviewer = {Robert C. Dalang},
doi = {10.1090/S0002-9947-07-04073-1},
url = {https://doi.org/10.1090/S0002-9947-07-04073-1}
}
@Article{ khoshnevisan.xiao:08:packing,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {Packing dimension of the range of a {L}\'{e}vy process},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {136},
year = {2008},
number = {7},
pages = {2597--2607},
issn = {0002-9939},
mrclass = {60G51 (28A80 60G17 60J25)},
mrnumber = {2390532},
mrreviewer = {Marta Tyran-Kami\'{n}ska},
doi = {10.1090/S0002-9939-08-09163-6},
url = {https://doi.org/10.1090/S0002-9939-08-09163-6}
}
@Article{ khoshnevisan.xiao:08:packing-dimension,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {Packing-dimension profiles and fractional {B}rownian
motion},
journal = {Math. Proc. Cambridge Philos. Soc.},
fjournal = {Mathematical Proceedings of the Cambridge Philosophical
Society},
volume = {145},
year = {2008},
number = {1},
pages = {205--213},
issn = {0305-0041},
mrclass = {60G18 (28A78 60J55)},
mrnumber = {2431650},
mrreviewer = {Marco Dozzi},
doi = {10.1017/S0305004108001394},
url = {https://doi.org/10.1017/S0305004108001394}
}
@Article{ khoshnevisan.xiao:09:harmonic,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {Harmonic analysis of additive {L}\'{e}vy processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {145},
year = {2009},
number = {3-4},
pages = {459--515},
issn = {0178-8051},
mrclass = {60G60 (31C05 60G51 60J45 60J55)},
mrnumber = {2529437},
mrreviewer = {Vasily A. Chernecky},
doi = {10.1007/s00440-008-0175-5},
url = {https://doi.org/10.1007/s00440-008-0175-5}
}
@Article{ khoshnevisan.xiao:15:brownian,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {Brownian motion and thermal capacity},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {1},
pages = {405--434},
issn = {0091-1798},
mrclass = {60J65 (28A78 28A80 60G15 60G17 60G51 60J45)},
mrnumber = {3298476},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1214/14-AOP910},
url = {https://doi.org/10.1214/14-AOP910}
}
@InCollection{ khoshnevisan.xiao:17:on,
author = {Khoshnevisan, Davar and Xiao, Yimin},
title = {On the macroscopic fractal geometry of some random sets},
booktitle = {Stochastic analysis and related topics},
series = {Progr. Probab.},
volume = {72},
pages = {179--206},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2017},
mrclass = {60G51 (28A80 60G17 60G52)},
mrnumber = {3737630},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1007/978-3-319-59671-6\_9},
url = {https://doi.org/10.1007/978-3-319-59671-6_9}
}
@InCollection{ khoshnevisan:00:on,
author = {Khoshnevisan, D.},
title = {On sums of i.i.d. random variables indexed by {$N$}
parameters},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXXIV}},
series = {Lecture Notes in Math.},
volume = {1729},
pages = {151--156},
publisher = {Springer, Berlin},
year = {2000},
mrclass = {60G50 (60F15 60G60)},
mrnumber = {1768109},
doi = {10.1007/BFb0103800},
url = {https://doi.org/10.1007/BFb0103800}
}
@Book{ khoshnevisan:02:multiparameter,
author = {Khoshnevisan, Davar},
title = {Multiparameter processes},
series = {Springer Monographs in Mathematics},
note = {An introduction to random fields},
publisher = {Springer-Verlag, New York},
year = {2002},
pages = {xx+584},
isbn = {0-387-95459-7},
mrclass = {60-02 (60G42 60G44 60G50 60G60 60J25 60J45)},
mrnumber = {1914748},
mrreviewer = {David Nualart},
doi = {10.1007/b97363},
url = {https://doi.org/10.1007/b97363}
}
@InCollection{ khoshnevisan:03:codimension,
author = {Khoshnevisan, Davar},
title = {The codimension of the zeros of a stable process in random
scenery},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s {XXXVII}},
series = {Lecture Notes in Math.},
volume = {1832},
pages = {236--245},
publisher = {Springer, Berlin},
year = {2003},
mrclass = {60K37},
mrnumber = {2053048},
mrreviewer = {Jean-Fran\c{c}ois Delmas},
doi = {10.1007/978-3-540-40004-2\_9},
url = {https://doi.org/10.1007/978-3-540-40004-2_9}
}
@Article{ khoshnevisan:03:intersections,
author = {Khoshnevisan, Davar},
title = {Intersections of {B}rownian motions},
journal = {Expo. Math.},
fjournal = {Expositiones Mathematicae},
volume = {21},
year = {2003},
number = {2},
pages = {97--114},
issn = {0723-0869},
mrclass = {60J65},
mrnumber = {1978059},
mrreviewer = {Yueyun Hu},
doi = {10.1016/S0723-0869(03)80013-0},
url = {https://doi.org/10.1016/S0723-0869(03)80013-0}
}
@InCollection{ khoshnevisan:04:brownian,
author = {Khoshnevisan, Davar},
title = {Brownian sheet and quasi-sure analysis},
booktitle = {Asymptotic methods in stochastics},
series = {Fields Inst. Commun.},
volume = {44},
pages = {25--47},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2004},
mrclass = {28A12 (58J65 60G15 60J45)},
mrnumber = {2106847},
mrreviewer = {U. D'Ambrosio}
}
@Book{ khoshnevisan:07:probability,
author = {Khoshnevisan, Davar},
title = {Probability},
series = {Graduate Studies in Mathematics},
volume = {80},
publisher = {American Mathematical Society, Providence, RI},
year = {2007},
pages = {xvi+224},
isbn = {978-0-8218-4215-7; 0-8218-4215-3},
mrclass = {60-01 (60F05 60F15 60H05 60J65)},
mrnumber = {2296582},
mrreviewer = {Bogdan Iftimie},
doi = {10.1090/gsm/080},
url = {https://doi.org/10.1090/gsm/080}
}
@Article{ khoshnevisan:08:dynamical,
author = {Khoshnevisan, Davar},
title = {Dynamical percolation on general trees},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {140},
year = {2008},
number = {1-2},
pages = {169--193},
issn = {0178-8051},
mrclass = {60K35 (31C15 60J45)},
mrnumber = {2357674},
mrreviewer = {Marina Vachkovskaia},
doi = {10.1007/s00440-007-0061-6},
url = {https://doi.org/10.1007/s00440-007-0061-6}
}
@InCollection{ khoshnevisan:08:slices,
author = {Khoshnevisan, Davar},
title = {Slices of a {B}rownian sheet: new results and open
problems},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications {V}},
series = {Progr. Probab.},
volume = {59},
pages = {135--174},
publisher = {Birkh\"{a}user, Basel},
year = {2008},
mrclass = {60J45 (60G15 60G60)},
mrnumber = {2401955},
mrreviewer = {Robert C. Dalang},
doi = {10.1007/978-3-7643-8458-6\_9},
url = {https://doi.org/10.1007/978-3-7643-8458-6_9}
}
@InCollection{ khoshnevisan:09:from,
author = {Khoshnevisan, Davar},
title = {From fractals and probability to {L}\'{e}vy processes and
stochastic {PDE}s},
booktitle = {Fractal geometry and stochastics {IV}},
series = {Progr. Probab.},
volume = {61},
pages = {111--141},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {2009},
mrclass = {28A78 (28A80 35R60 60H15 60J55)},
mrnumber = {2762675},
mrreviewer = {Marco Dozzi},
doi = {10.1007/978-3-0346-0030-9\_4},
url = {https://doi.org/10.1007/978-3-0346-0030-9_4}
}
@InCollection{ khoshnevisan:09:primer,
author = {Khoshnevisan, Davar},
title = {A primer on stochastic partial differential equations},
booktitle = {A minicourse on stochastic partial differential
equations},
series = {Lecture Notes in Math.},
volume = {1962},
pages = {1--38},
publisher = {Springer, Berlin},
year = {2009},
mrclass = {60H15 (35R60 60H40)},
mrnumber = {2508772},
mrreviewer = {Leszek Gawarecki},
doi = {10.1007/978-3-540-85994-9\_1},
url = {https://doi.org/10.1007/978-3-540-85994-9_1}
}
@Book{ khoshnevisan:14:analysis,
author = {Khoshnevisan, Davar},
title = {Analysis of stochastic partial differential equations},
series = {CBMS Regional Conference Series in Mathematics},
volume = {119},
publisher = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC; by the American Mathematical
Society, Providence, RI},
year = {2014},
pages = {viii+116},
isbn = {978-1-4704-1547-1},
mrclass = {60H15 (35R60 60H30)},
mrnumber = {3222416},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1090/cbms/119},
url = {https://doi.org/10.1090/cbms/119}
}
@Article{ khoshnevisan:14:parabolic,
author = {Khoshnevisan, D.},
title = {Parabolic {SPDE}s and intermittency. 16th {B}razilian
{S}ummer {S}chool of {P}robability. {R}ecife, {B}razil,
{A}ugust 6--11, 2012},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {20},
year = {2014},
number = {1},
pages = {45--80},
issn = {1024-2953},
mrclass = {60H15 (35R60 60H30)},
mrnumber = {3185556},
mrreviewer = {Jan I. Seidler}
}
@InCollection{ khoshnevisan:16:invariance,
author = {Khoshnevisan, Davar},
title = {Invariance and comparison principles for parabolic
stochastic partial differential equations},
booktitle = {From {L}\'{e}vy-type processes to parabolic {SPDE}s},
series = {Adv. Courses Math. CRM Barcelona},
pages = {127--216},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2016},
mrclass = {60H15 (35B51 35K20 35R60 60-02 60G51)},
mrnumber = {3587473}
}
@Book{ khoshnevisan:89:level,
author = {Khoshnevisan, Davar},
title = {Level crossings of the uniform empirical process},
note = {Thesis (Ph.D.)--University of California, Berkeley},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1989},
pages = {96},
mrclass = {Thesis},
mrnumber = {2637872},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9006389}
}
@Article{ khoshnevisan:92:level,
author = {Khoshnevisan, Davar},
title = {Level crossings of the empirical process},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {43},
year = {1992},
number = {2},
pages = {331--343},
issn = {0304-4149},
mrclass = {60J55 (60J60 60J75 62G30)},
mrnumber = {1191155},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1016/0304-4149(92)90066-Y},
url = {https://doi.org/10.1016/0304-4149(92)90066-Y}
}
@Article{ khoshnevisan:92:local,
author = {Khoshnevisan, Davar},
title = {Local asymptotic laws for the {B}rownian convex hull},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {93},
year = {1992},
number = {3},
pages = {377--392},
issn = {0178-8051},
mrclass = {60G17 (60F15 60J15 60J65)},
mrnumber = {1180706},
mrreviewer = {Steven N. Evans},
doi = {10.1007/BF01193057},
url = {https://doi.org/10.1007/BF01193057}
}
@Article{ khoshnevisan:92:moment,
author = {Khoshnevisan, Davar},
title = {Moment inequalities for functionals of the {B}rownian
convex hull},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {20},
year = {1992},
number = {2},
pages = {627--630},
issn = {0091-1798},
mrclass = {60G17 (60J65)},
mrnumber = {1159562},
mrreviewer = {Michael Cranston},
url = {http://links.jstor.org/sici?sici=0091-1798(199204)20:2<627:MIFFOT>2.0.CO;2-D&origin=MSN}
}
@Article{ khoshnevisan:93:embedding,
author = {Khoshnevisan, Davar},
title = {An embedding of compensated compound {P}oisson processes
with applications to local times},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {21},
year = {1993},
number = {1},
pages = {340--361},
issn = {0091-1798},
mrclass = {60J55 (60F10 60F15 60F17 60J75)},
mrnumber = {1207230},
mrreviewer = {Endre Cs\'{a}ki},
url = {http://links.jstor.org/sici?sici=0091-1798(199301)21:1<340:AEOCCP>2.0.CO;2-Y&origin=MSN}
}
@Article{ khoshnevisan:94:discrete,
author = {Khoshnevisan, Davar},
title = {A discrete fractal in {${\bf Z}^1_+$}},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {120},
year = {1994},
number = {2},
pages = {577--584},
issn = {0002-9939},
mrclass = {60J15 (28A80)},
mrnumber = {1185269},
mrreviewer = {S. J. Taylor},
doi = {10.2307/2159899},
url = {https://doi.org/10.2307/2159899}
}
@Article{ khoshnevisan:94:exact,
author = {Khoshnevisan, Davar},
title = {Exact rates of convergence to {B}rownian local time},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {3},
pages = {1295--1330},
issn = {0091-1798},
mrclass = {60J55 (60G17)},
mrnumber = {1303646},
mrreviewer = {M. Cs\"{o}rg\H{o}},
url = {http://links.jstor.org/sici?sici=0091-1798(199407)22:3<1295:EROCTB>2.0.CO;2-U&origin=MSN}
}
@InCollection{ khoshnevisan:95:gap,
author = {Khoshnevisan, Davar},
title = {The gap between the past supremum and the future infimum
of a transient {B}essel process},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIX}},
series = {Lecture Notes in Math.},
volume = {1613},
pages = {220--230},
publisher = {Springer, Berlin},
year = {1995},
mrclass = {60J65 (60G17)},
mrnumber = {1459463},
mrreviewer = {Zhan Shi},
doi = {10.1007/BFb0094214},
url = {https://doi.org/10.1007/BFb0094214}
}
@Article{ khoshnevisan:95:on,
author = {Khoshnevisan, Davar},
title = {On the distribution of bubbles of the {B}rownian sheet},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {2},
pages = {786--805},
issn = {0091-1798},
mrclass = {60G60 (60G15)},
mrnumber = {1334172},
mrreviewer = {Robert C. Dalang},
url = {http://links.jstor.org/sici?sici=0091-1798(199504)23:2<786:OTDOBO>2.0.CO;2-P&origin=MSN}
}
@Article{ khoshnevisan:96:deviation,
author = {Khoshnevisan, Davar},
title = {Deviation inequalities for continuous martingales},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {65},
year = {1996},
number = {1},
pages = {17--30},
issn = {0304-4149},
mrclass = {60G44 (60G15 60J65)},
mrnumber = {1422877},
mrreviewer = {Paul McGill},
doi = {10.1016/S0304-4149(96)00100-7},
url = {https://doi.org/10.1016/S0304-4149(96)00100-7}
}
@Article{ khoshnevisan:96:levy,
author = {Khoshnevisan, Davar},
title = {L\'{e}vy classes and self-normalization},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {1},
year = {1996},
pages = {no. 1, approx. 18 pp.},
issn = {1083-6489},
mrclass = {60F15 (60J15 60J45 60J55)},
mrnumber = {1386293},
mrreviewer = {Qi Man Shao},
doi = {10.1214/ejp.v1-1},
url = {https://doi.org/10.1214/ejp.v1-1}
}
@Article{ khoshnevisan:97:escape,
author = {Khoshnevisan, D.},
title = {Escape rates for {L}\'{e}vy processes},
journal = {Studia Sci. Math. Hungar.},
fjournal = {Studia Scientiarum Mathematicarum Hungarica.
Combinatorics, Geometry and Topology (CoGeTo)},
volume = {33},
year = {1997},
number = {1-3},
pages = {177--183},
issn = {0081-6906},
mrclass = {60J30 (60G17 60J40)},
mrnumber = {1454109},
mrreviewer = {Mamoru Kanda}
}
@InCollection{ khoshnevisan:97:some,
author = {Khoshnevisan, Davar},
title = {Some polar sets for the {B}rownian sheet},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXXI}},
series = {Lecture Notes in Math.},
volume = {1655},
pages = {190--197},
publisher = {Springer, Berlin},
year = {1997},
mrclass = {60J65 (60G60)},
mrnumber = {1478727},
mrreviewer = {Zhan Shi},
doi = {10.1007/BFb0119303},
url = {https://doi.org/10.1007/BFb0119303}
}
@Article{ khoshnevisan:99:brownian,
author = {Khoshnevisan, Davar},
title = {Brownian sheet images and {B}essel-{R}iesz capacity},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {351},
year = {1999},
number = {7},
pages = {2607--2622},
issn = {0002-9947},
mrclass = {60J45 (60G15 60G60 60J65)},
mrnumber = {1638246},
mrreviewer = {Zhan Shi},
doi = {10.1090/S0002-9947-99-02408-3},
url = {https://doi.org/10.1090/S0002-9947-99-02408-3}
}
@Article{ khrennikov.kochubei:18:p-adic,
author = {Khrennikov, Andrei Yu. and Kochubei, Anatoly N.},
title = {{$p$}-adic analogue of the porous medium equation},
journal = {J. Fourier Anal. Appl.},
fjournal = {The Journal of Fourier Analysis and Applications},
volume = {24},
year = {2018},
number = {5},
pages = {1401--1424},
issn = {1069-5869,1531-5851},
mrclass = {35K57 (11S80 35R11)},
mrnumber = {3856234},
doi = {10.1007/s00041-017-9556-4},
url = {https://doi.org/10.1007/s00041-017-9556-4}
}
@Book{ khudyaev:75:analiz,
author = {Khudyaev, S. I.},
title = {\cyr {A}naliz v klassakh razryvnykh funktsiu{i} i
uravneniya matematicheskou{i} fiziki},
publisher = {Izdat. ``Nauka'', Moscow},
year = {1975},
pages = {394 pp. (errata on inside back cover)},
mrclass = {35Q99 (46E35 35-01 46-01)},
mrnumber = {0427873},
mrreviewer = {P. C. Fife}
}
@Article{ kiessling.spohn:99:note,
author = {Kiessling, Michael K.-H. and Spohn, Herbert},
title = {A note on the eigenvalue density of random matrices},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {199},
year = {1999},
number = {3},
pages = {683--695},
issn = {0010-3616},
mrclass = {82B41},
mrnumber = {1669669},
mrreviewer = {Estelle L. Basor},
doi = {10.1007/s002200050516},
url = {https://doi.org/10.1007/s002200050516}
}
@Article{ kifer.varadhan:14:nonconventional,
author = {Kifer, Yuri and Varadhan, S. R. S.},
title = {Nonconventional limit theorems in discrete and continuous
time via martingales},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {2},
pages = {649--688},
issn = {0091-1798,2168-894X},
mrclass = {60F17 (37D35 60G15 60G42)},
mrnumber = {3178470},
mrreviewer = {Dominique\ L\'epingle},
doi = {10.1214/12-AOP796},
url = {https://doi.org/10.1214/12-AOP796}
}
@Article{ kifer:97:burgers,
author = {Kifer, Yuri},
title = {The {B}urgers equation with a random force and a general
model for directed polymers in random environments},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {108},
year = {1997},
number = {1},
pages = {29--65},
issn = {0178-8051},
mrclass = {60H15 (35Q53 35R60 60K35)},
mrnumber = {1452549},
mrreviewer = {Tu Sheng Zhang},
doi = {10.1007/s004400050100},
url = {https://doi.org/10.1007/s004400050100}
}
@Article{ kilbas.luchko.ea:10:fractional,
author = {Kilbas, A. A. and Luchko, Yu. F. and Mart\'{i}nez, H. and
Trujillo, J. J.},
title = {Fractional {F}ourier transform in the framework of
fractional calculus operators},
journal = {Integral Transforms Spec. Funct.},
fjournal = {Integral Transforms and Special Functions. An
International Journal},
volume = {21},
year = {2010},
number = {9-10},
pages = {779--795},
issn = {1065-2469,1476-8291},
mrclass = {42A38 (26A33 35R11 44A10 47B38)},
mrnumber = {2743546},
mrreviewer = {Yunus\ Emre\ Yildirir},
doi = {10.1080/10652461003676099},
url = {https://doi.org/10.1080/10652461003676099}
}
@Book{ kilbas.saigo:04:h-transforms,
author = {Kilbas, Anatoly A. and Saigo, Megumi},
title = {{$H$}-transforms},
series = {Analytical Methods and Special Functions},
volume = {9},
note = {Theory and applications},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2004},
pages = {xii+389},
isbn = {0-415-29916-0},
mrclass = {44-02 (33C60 44A15 47G10)},
mrnumber = {2041257},
mrreviewer = {A. Corduneanu},
doi = {10.1201/9780203487372},
url = {https://doi.org/10.1201/9780203487372}
}
@Book{ kilbas.srivastava.ea:06:theory,
author = {Kilbas, Anatoly A. and Srivastava, Hari M. and Trujillo,
Juan J.},
title = {Theory and applications of fractional differential
equations},
series = {North-Holland Mathematics Studies},
volume = {204},
publisher = {Elsevier Science B.V., Amsterdam},
year = {2006},
pages = {xvi+523},
isbn = {978-0-444-51832-3; 0-444-51832-0},
mrclass = {34-02 (26A33 33C90 34A99 35-02 45-02)},
mrnumber = {2218073},
mrreviewer = {B. S. Rubin}
}
@Article{ killip.murphy.ea:20:invariance,
author = {Killip, Rowan and Murphy, Jason and Visan, Monica},
title = {Invariance of white noise for {K}d{V} on the line},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {222},
year = {2020},
number = {1},
pages = {203--282},
issn = {0020-9910},
mrclass = {35Q53 (35R60)},
mrnumber = {4145790},
mrreviewer = {Alp O. Eden},
doi = {10.1007/s00222-020-00964-9},
url = {https://doi.org/10.1007/s00222-020-00964-9}
}
@Article{ killip.simon:03:sum,
author = {Killip, Rowan and Simon, Barry},
title = {Sum rules for {J}acobi matrices and their applications to
spectral theory},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {158},
year = {2003},
number = {1},
pages = {253--321},
issn = {0003-486X,1939-8980},
mrclass = {47B36 (39A70 47A10 47A55)},
mrnumber = {1999923},
mrreviewer = {Gerald\ Teschl},
doi = {10.4007/annals.2003.158.253},
url = {https://doi.org/10.4007/annals.2003.158.253}
}
@Article{ killip.stoiciu:09:eigenvalue,
author = {Killip, Rowan and Stoiciu, Mihai},
title = {Eigenvalue statistics for {CMV} matrices: from {P}oisson
to clock via random matrix ensembles},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {146},
year = {2009},
number = {3},
pages = {361--399},
issn = {0012-7094},
mrclass = {81Q10 (15A18 15A52 47B36 47B80 60B05 60F17)},
mrnumber = {2484278},
mrreviewer = {David Damanik},
doi = {10.1215/00127094-2009-001},
url = {https://doi.org/10.1215/00127094-2009-001}
}
@Article{ killip.visan:19:kdv,
author = {Killip, Rowan and Vi\c{s}an, Monica},
title = {Kd{V} is well-posed in {$H^{-1}$}},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {190},
year = {2019},
number = {1},
pages = {249--305},
issn = {0003-486X},
mrclass = {35Q53 (35B30 37K10)},
mrnumber = {3990604},
mrreviewer = {John Albert},
doi = {10.4007/annals.2019.190.1.4},
url = {https://doi.org/10.4007/annals.2019.190.1.4}
}
@Article{ kim.bertsimas:03:discrete,
title = {A discrete approximation approach to the stochastic
shortest path problem},
author = {Kim, H. and Bertsimas, D.},
journal = {Operations Research},
volume = {51},
number = {6},
pages = {991--1005},
year = {2003},
publisher = {INFORMS}
}
@InProceedings{ kim.hespanha:03:discrete,
title = {Discrete approximations to continuous shortest-path:
Application to minimum-risk path planning for groups of
{UAVs}},
author = {Kim, Jongrae and Hespanha, Joao P},
booktitle = {42nd IEEE International Conference on Decision and Control
(IEEE Cat. No. 03CH37475)},
volume = {2},
pages = {1734--1740},
year = {2003},
organization = {IEEE}
}
@Article{ kim.kosterlitz:89:growth,
title = {Growth in a restricted solid-on-solid model},
author = {Kim, Jin Min and Kosterlitz, J. M.},
journal = {Phys. Rev. Lett.},
volume = {62},
issue = {19},
pages = {2289--2292},
numpages = {0},
year = {1989},
month = {May},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.62.2289},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.62.2289}
}
@Article{ kim.lee:11:w12-theory,
author = {Kim, Kyeong-Hun and Lee, Kijung},
title = {A {$W^1_2$}-theory of stochastic partial differential
systems of divergence type on {$C^1$} domains},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
pages = {no. 47, 1296--1317},
mrclass = {60H15 (35R60)},
mrnumber = {2827460},
mrreviewer = {Mar\'{\i}a J. Garrido-Atienza},
doi = {10.1214/ejp.v16-913},
url = {https://doi.org/10.1214/ejp.v16-913}
}
@Article{ kim.lubetzky.ea:23:maximum,
author = {Kim, Yujin H. and Lubetzky, Eyal and Zeitouni, Ofer},
title = {The maximum of branching {B}rownian motion in
{$\Bbb{R}^d$}},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {33},
year = {2023},
number = {2},
pages = {1315--1368},
issn = {1050-5164,2168-8737},
mrclass = {60J80 (60J65 60J70)},
mrnumber = {4564433},
doi = {10.1214/22-aap1848},
url = {https://doi.org/10.1214/22-aap1848}
}
@Article{ kim.mueller.ea:10:stochastic,
author = {Kim, Kunwoo and Mueller, Carl and Sowers, Richard B.},
title = {A stochastic moving boundary value problem},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {54},
year = {2010},
number = {3},
pages = {927--962 (2012)},
issn = {0019-2082},
mrclass = {60H15},
mrnumber = {2928342},
mrreviewer = {Yoshiki Otobe},
url = {http://projecteuclid.org/euclid.ijm/1336049982}
}
@Article{ kim.park:06:on,
author = {Kim, S and Park, Ji Yeon},
title = {On super edge-magic graphs},
journal = {Ars Combinatoria},
year = {2006},
volume = {81},
pages = {113--127},
publisher = {CHARLES BABBAGE RESEARCH CENTER}
}
@Article{ kim.pollard:90:cube,
author = {Kim, JeanKyung and Pollard, David},
title = {Cube root asymptotics},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {18},
year = {1990},
number = {1},
pages = {191--219},
issn = {0090-5364},
mrclass = {62F12 (60F17 60G15 62G30)},
mrnumber = {1041391},
mrreviewer = {R. M. Dudley},
doi = {10.1214/aos/1176347498},
url = {https://doi.org/10.1214/aos/1176347498}
}
@Article{ kim.sowers:12:numerical,
author = {Kim, Kunwoo and Sowers, Richard B.},
title = {Numerical analysis of the stochastic moving boundary
problem},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {30},
year = {2012},
number = {6},
pages = {963--996},
issn = {0736-2994},
mrclass = {60H35 (35R37 35R60 60H15 65C30)},
mrnumber = {2995504},
mrreviewer = {Sonja Cox},
doi = {10.1080/07362994.2012.704847},
url = {https://doi.org/10.1080/07362994.2012.704847}
}
@Article{ kim.yi:22:limit,
author = {Kim, Kunwoo and Yi, Jaeyun},
title = {Limit theorems for time-dependent averages of nonlinear
stochastic heat equations},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {28},
year = {2022},
number = {1},
pages = {214--238},
issn = {1350-7265},
mrclass = {60H15 (60F05 60F15)},
mrnumber = {4337703},
doi = {10.3150/21-bej1339},
url = {https://doi.org/10.3150/21-bej1339}
}
@Article{ kim.zheng.ea:12:stochastic,
author = {Kim, Kunwoo and Zheng, Zhi and Sowers, Richard B.},
title = {A stochastic {S}tefan problem},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {25},
year = {2012},
number = {4},
pages = {1040--1080},
issn = {0894-9840},
mrclass = {60H15 (35R35 80A22)},
mrnumber = {2993014},
mrreviewer = {Nung Kwan Yip},
doi = {10.1007/s10959-011-0392-1},
url = {https://doi.org/10.1007/s10959-011-0392-1}
}
@Article{ kim:01:singular,
author = {Kim, Inwon Christina},
title = {Singular limits of chematoxis-growth model},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {46},
year = {2001},
number = {6, Ser. A: Theory Methods},
pages = {817--834},
issn = {0362-546X},
mrclass = {35K57 (35B25 35K55 35Q80 92C17)},
mrnumber = {1859799},
mrreviewer = {Sergey A. Vakulenko},
doi = {10.1016/S0362-546X(00)00149-8},
url = {https://doi.org/10.1016/S0362-546X(00)00149-8}
}
@Article{ kim:04:on,
author = {Kim, Kyeong-Hun},
title = {On stochastic partial differential equations with variable
coefficients in {$C^1$} domains},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {112},
year = {2004},
number = {2},
pages = {261--283},
issn = {0304-4149},
mrclass = {60H15 (35R60)},
mrnumber = {2073414},
mrreviewer = {Nikita Y. Ratanov},
doi = {10.1016/j.spa.2004.02.006},
url = {https://doi.org/10.1016/j.spa.2004.02.006}
}
@Article{ kim:08:martingale,
author = {Kim, Jong Uhn},
title = {Martingale solutions of a stochastic wave equation with
reflection},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {254},
year = {2008},
number = {9},
pages = {2437--2469},
issn = {0022-1236},
mrclass = {60H15 (35L70 35R60 60G44)},
mrnumber = {2409169},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1016/j.jfa.2007.12.007},
url = {https://doi.org/10.1016/j.jfa.2007.12.007}
}
@Article{ kim:19:on,
author = {Kim, Kunwoo},
title = {On the large-scale structure of the tall peaks for
stochastic heat equations with fractional {L}aplacian},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {129},
year = {2019},
number = {6},
pages = {2207--2227},
issn = {0304-4149},
mrclass = {60H15 (35K15 35R11 35R60 60K37)},
mrnumber = {3958428},
doi = {10.1016/j.spa.2018.07.006},
url = {https://doi.org/10.1016/j.spa.2018.07.006}
}
@Article{ kim:96:on,
author = {Kim, Jeong Han},
title = {On increasing subsequences of random permutations},
journal = {J. Combin. Theory Ser. A},
fjournal = {Journal of Combinatorial Theory. Series A},
volume = {76},
year = {1996},
number = {1},
pages = {148--155},
issn = {0097-3165},
mrclass = {60C05 (05A05)},
mrnumber = {1405997},
mrreviewer = {Bert Fristedt},
doi = {10.1006/jcta.1996.0095},
url = {https://doi.org/10.1006/jcta.1996.0095}
}
@Article{ kimmel.kiryati:96:finding,
title = {Finding shortest paths on surfaces by fast global
approximation and precise local refinement},
author = {Kimmel, R. and Kiryati, N.},
journal = {International Journal of Pattern Recognition and
Artificial Intelligence},
volume = {10},
number = {6},
pages = {643--656},
year = {1996}
}
@Article{ kingman:68:ergodic,
author = {Kingman, J. F. C.},
title = {The ergodic theory of subadditive stochastic processes},
journal = {J. Roy. Statist. Soc. Ser. B},
fjournal = {Journal of the Royal Statistical Society. Series B.
Methodological},
volume = {30},
year = {1968},
pages = {499--510},
issn = {0035-9246},
mrclass = {60.30},
mrnumber = {254907},
mrreviewer = {W. F. Stout},
url = {http://links.jstor.org/sici?sici=0035-9246(1968)30:3<499:TETOSS>2.0.CO;2-E&origin=MSN}
}
@Book{ kingman:93:poisson,
author = {Kingman, J. F. C.},
title = {Poisson processes},
series = {Oxford Studies in Probability},
volume = {3},
note = {Oxford Science Publications},
publisher = {The Clarendon Press, Oxford University Press, New York},
year = {1993},
pages = {viii+104},
isbn = {0-19-853693-3},
mrclass = {60G05 (60G55 60K99)},
mrnumber = {1207584},
mrreviewer = {Dietrich Stoyan}
}
@Book{ kipnis.landim:99:scaling,
author = {Kipnis, Claude and Landim, Claudio},
title = {Scaling limits of interacting particle systems},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {320},
publisher = {Springer-Verlag, Berlin},
year = {1999},
pages = {xvi+442},
isbn = {3-540-64913-1},
mrclass = {60-02 (60F05 60F10 60K35 82B05 82C22)},
mrnumber = {1707314},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1007/978-3-662-03752-2},
url = {https://doi.org/10.1007/978-3-662-03752-2}
}
@Article{ kipnis.olla.ea:89:hydrodynamics,
author = {Kipnis, C. and Olla, S. and Varadhan, S. R. S.},
title = {Hydrodynamics and large deviation for simple exclusion
processes},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {42},
year = {1989},
number = {2},
pages = {115--137},
issn = {0010-3640},
mrclass = {60K35 (60F10 82C40)},
mrnumber = {978701},
mrreviewer = {Shuenn Jyi Sheu},
doi = {10.1002/cpa.3160420202},
url = {https://doi.org/10.1002/cpa.3160420202}
}
@Article{ kipnis.varadhan:86:central,
author = {Kipnis, C. and Varadhan, S. R. S.},
title = {Central limit theorem for additive functionals of
reversible {M}arkov processes and applications to simple
exclusions},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {104},
year = {1986},
number = {1},
pages = {1--19},
issn = {0010-3616,1432-0916},
mrclass = {60F17 (60J05 60K35)},
mrnumber = {834478},
mrreviewer = {H.\ Kesten},
url = {http://projecteuclid.org/euclid.cmp/1104114929}
}
@Article{ kirane.nane.ea:18:on,
author = {Kirane, Mokhtar and Nane, Erkan and Tuan, Nguyen Huy},
title = {On a backward problem for multidimensional
{G}inzburg-{L}andau equation with random data},
journal = {Inverse Problems},
fjournal = {Inverse Problems. An International Journal on the Theory
and Practice of Inverse Problems, Inverse Methods and
Computerized Inversion of Data},
volume = {34},
year = {2018},
number = {1},
pages = {015008, 21},
issn = {0266-5611},
mrclass = {65M32 (35Q56 35R25 60H25 65M12)},
mrnumber = {3742372},
mrreviewer = {Natesan Barani Balan},
doi = {10.1088/1361-6420/aa9c2a},
url = {https://doi.org/10.1088/1361-6420/aa9c2a}
}
@InCollection{ kirillov:01:introduction,
author = {Kirillov, Anatol N.},
title = {Introduction to tropical combinatorics},
booktitle = {Physics and combinatorics, 2000 ({N}agoya)},
pages = {82--150},
publisher = {World Sci. Publ., River Edge, NJ},
year = {2001},
mrclass = {05E10},
mrnumber = {1872253},
mrreviewer = {Hiro-Fumi Yamada},
doi = {10.1142/9789812810007\_0005},
url = {https://doi.org/10.1142/9789812810007_0005}
}
@InCollection{ kirsch:08:invitation,
author = {Kirsch, Werner},
title = {An invitation to random {S}chr\"{o}dinger operators},
booktitle = {Random {S}chr\"{o}dinger operators},
series = {Panor. Synth\`eses},
volume = {25},
pages = {1--119},
note = {With an appendix by Fr\'{e}d\'{e}ric Klopp},
publisher = {Soc. Math. France, Paris},
year = {2008},
mrclass = {82B44 (47B80 60H25 81Q10 82-02)},
mrnumber = {2509110},
mrreviewer = {Wolfgang K\"{o}nig}
}
@Article{ kiselev.last.ea:98:modified,
author = {Kiselev, Alexander and Last, Yoram and Simon, Barry},
title = {Modified {P}r\"ufer and {EFGP} transforms and the spectral
analysis of one-dimensional {S}chr\"odinger operators},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {194},
year = {1998},
number = {1},
pages = {1--45},
issn = {0010-3616,1432-0916},
mrclass = {34L40 (39A70 47B39 47B80 47E05 81Q10)},
mrnumber = {1628290},
mrreviewer = {G\"unter\ Stolz},
doi = {10.1007/s002200050346},
url = {https://doi.org/10.1007/s002200050346}
}
@Article{ kiselev.nazarov.ea:07:global,
author = {Kiselev, A. and Nazarov, F. and Volberg, A.},
title = {Global well-posedness for the critical 2{D} dissipative
quasi-geostrophic equation},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {167},
year = {2007},
number = {3},
pages = {445--453},
issn = {0020-9910},
mrclass = {35Q35 (35B30 35K50)},
mrnumber = {2276260},
mrreviewer = {Xiaoming Wang},
doi = {10.1007/s00222-006-0020-3},
url = {https://doi.org/10.1007/s00222-006-0020-3}
}
@Article{ kiselev.xu:16:suppression,
author = {Kiselev, Alexander and Xu, Xiaoqian},
title = {Suppression of chemotactic explosion by mixing},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {222},
year = {2016},
number = {2},
pages = {1077--1112},
issn = {0003-9527},
mrclass = {92C17 (35K30 35Q92 76L05)},
mrnumber = {3544323},
mrreviewer = {Tomasz Cie\'{s}lak},
doi = {10.1007/s00205-016-1017-8},
url = {https://doi.org/10.1007/s00205-016-1017-8}
}
@Article{ kjartansson:79:constant,
author = {Kjartansson, Einar},
title = {Constant Q-wave propagation and attenuation},
journal = {Journal of Geophysical Research: Solid Earth},
volume = {84},
number = {B9},
pages = {4737--4748},
doi = {https://doi.org/10.1029/JB084iB09p04737},
url = {https://agupubs.onlinelibrary.wiley.com/doi/abs/10.1029/JB084iB09p04737},
eprint = {https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/JB084iB09p04737},
year = {1979}
}
@Article{ klafter.sokolov:05:anomalous,
title = {Anomalous diffusion spreads its wings},
author = {Klafter, Joseph and Sokolov, Igor M},
journal = {Physics world},
volume = {18},
number = {8},
pages = {29},
year = {2005},
publisher = {IOP Publishing}
}
@Book{ klausner:12:fundamentals,
title = {Fundamentals of Continuum Mechanics of Soils},
author = {Klausner, Y.},
isbn = {978-1-4471-1677-6},
year = {2012},
doi = {https://doi.org/10.1007/978-1-4471-1677-6},
pages = {XLIII, 607},
publisher = {Springer London}
}
@Article{ klebaner.lazar.ea:98:on,
author = {Klebaner, Fima C. and Lazar, Justin and Zeitouni, Ofer},
title = {On the quasi-stationary distribution for some randomly
perturbed transformations of an interval},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {8},
year = {1998},
number = {1},
pages = {300--315},
issn = {1050-5164,2168-8737},
mrclass = {60J80 (60F10 60J10 92D25)},
mrnumber = {1620378},
mrreviewer = {G\"{o}ran\ H\"{o}gn\"{a}s},
doi = {10.1214/aoap/1027961045},
url = {https://doi.org/10.1214/aoap/1027961045}
}
@Article{ klebaner.zeitouni:94:exit,
author = {Klebaner, Fima C. and Zeitouni, Ofer},
title = {The exit problem for a class of density-dependent
branching systems},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {4},
year = {1994},
number = {4},
pages = {1188--1205},
issn = {1050-5164,2168-8737},
mrclass = {60J80 (60F10)},
mrnumber = {1304781},
mrreviewer = {J.\ D.\ Biggins},
url = {http://links.jstor.org/sici?sici=1050-5164(199411)4:4<1188:TEPFAC>2.0.CO;2-E&origin=MSN}
}
@Article{ klebanov.hashimoto:95:non-perturbative,
author = {Klebanov, Igor R. and Hashimoto, Akikazu},
title = {Non-perturbative solution of matrix models modified by
trace-squared terms},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {434},
year = {1995},
number = {1-2},
pages = {264--282},
issn = {0550-3213},
mrclass = {81T27 (81T40)},
mrnumber = {1312995},
doi = {10.1016/0550-3213(94)00518-J},
url = {https://doi.org/10.1016/0550-3213(94)00518-J}
}
@InCollection{ klebanov.hashimoto:96:wormholes,
author = {Klebanov, Igor R. and Hashimoto, Akikazu},
title = {Wormholes, matrix models, and {L}iouville gravity},
note = {String theory, gauge theory and quantum gravity (Trieste,
1995)},
journal = {Nuclear Phys. B Proc. Suppl.},
fjournal = {Nuclear Physics B. Proceedings Supplement},
volume = {45BC},
year = {1996},
pages = {135--148},
issn = {0920-5632},
mrclass = {81T40 (81-02 81T20 82B23 82B41)},
mrnumber = {1410550},
mrreviewer = {Kazuto Oshima},
doi = {10.1016/0920-5632(95)00631-1},
url = {https://doi.org/10.1016/0920-5632(95)00631-1}
}
@Article{ klebanov:95:touching,
author = {Klebanov, Igor R.},
title = {Touching random surfaces and {L}iouville gravity},
journal = {Phys. Rev. D (3)},
fjournal = {Physical Review. D. Third Series},
volume = {51},
year = {1995},
number = {4},
pages = {1836--1841},
issn = {0556-2821},
mrclass = {81T40 (82B41)},
mrnumber = {1320922},
mrreviewer = {Th\'{o}rdur J\'{o}nsson},
doi = {10.1103/PhysRevD.51.1836},
url = {https://doi.org/10.1103/PhysRevD.51.1836}
}
@InCollection{ klein:08:multiscale,
author = {Klein, Abel},
title = {Multiscale analysis and localization of random operators},
booktitle = {Random {S}chr\"{o}dinger operators},
series = {Panor. Synth\`eses},
volume = {25},
pages = {121--159},
publisher = {Soc. Math. France, Paris},
year = {2008},
mrclass = {82B44 (47B80 47N50 60H25 81Q10 82-02)},
mrnumber = {2509111},
mrreviewer = {Wolfgang K\"{o}nig}
}
@Article{ klenke.mytnik:10:infinite,
author = {Klenke, Achim and Mytnik, Leonid},
title = {Infinite rate mutually catalytic branching},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {4},
pages = {1690--1716},
issn = {0091-1798},
mrclass = {60K35 (60J35 60J65 60J80 60K37)},
mrnumber = {2663642},
mrreviewer = {Anatoly Yambartsev},
doi = {10.1214/09-AOP520},
url = {https://doi.org/10.1214/09-AOP520}
}
@Article{ klenke.mytnik:12:infinite,
author = {Klenke, Achim and Mytnik, Leonid},
title = {Infinite rate mutually catalytic branching in infinitely
many colonies: the longtime behavior},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {1},
pages = {103--129},
issn = {0091-1798},
mrclass = {60J80 (60G17 60J55 60J65 60K35)},
mrnumber = {2917768},
mrreviewer = {Siva R. Athreya},
doi = {10.1214/10-AOP621},
url = {https://doi.org/10.1214/10-AOP621}
}
@Article{ klenke.mytnik:12:infinite*1,
author = {Klenke, Achim and Mytnik, Leonid},
title = {Infinite rate mutually catalytic branching in infinitely
many colonies: construction, characterization and
convergence},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {154},
year = {2012},
number = {3-4},
pages = {533--584},
issn = {0178-8051},
mrclass = {60K35 (60H20 60J80 60K37)},
mrnumber = {3000554},
mrreviewer = {Siva R. Athreya},
doi = {10.1007/s00440-011-0376-1},
url = {https://doi.org/10.1007/s00440-011-0376-1}
}
@Article{ klenke.mytnik:20:infinite,
author = {Klenke, Achim and Mytnik, Leonid},
title = {Infinite rate symbiotic branching on the real line: the
tired frogs model},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {56},
year = {2020},
number = {2},
pages = {847--883},
issn = {0246-0203},
mrclass = {60K35 (60H15 60J68 60J76 60J80)},
mrnumber = {4076768},
doi = {10.1214/19-AIHP986},
url = {https://doi.org/10.1214/19-AIHP986}
}
@Book{ klenke:14:probability,
author = {Klenke, Achim},
title = {Probability theory},
series = {Universitext},
edition = {German},
note = {A comprehensive course},
publisher = {Springer, London},
year = {2014},
pages = {xii+638},
isbn = {978-1-4471-5360-3; 978-1-4471-5361-0},
mrclass = {60-01 (60Fxx 60Gxx 60H10 60Jxx)},
mrnumber = {3112259},
doi = {10.1007/978-1-4471-5361-0},
url = {https://doi.org/10.1007/978-1-4471-5361-0}
}
@Book{ klenke:20:probability,
author = {Klenke, Achim},
title = {Probability theory---a comprehensive course},
series = {Universitext},
note = {Third edition [of 2372119]},
publisher = {Springer, Cham},
year = {[2020] \copyright 2020},
pages = {xiv+716},
isbn = {978-3-030-56402-5; 978-3-030-56401-8},
mrclass = {60-01 (60Fxx 60Gxx 60H10 60Jxx)},
mrnumber = {4201399},
doi = {10.1007/978-3-030-56402-5},
url = {https://doi.org/10.1007/978-3-030-56402-5}
}
@Article{ klesov.tymoshenko:13:unbounded,
author = {Klesov, O. I. and Tymoshenko, O. A.},
title = {Unbounded solutions of stochastic differential equations
with time-dependent coefficients},
journal = {Ann. Univ. Sci. Budapest. Sect. Comput.},
fjournal = {Annales Universitatis Scientiarum Budapestinensis de
Rolando E\"{o}tv\"{o}s Nominatae. Sectio Computatorica},
volume = {41},
year = {2013},
pages = {25--35},
issn = {0138-9491},
mrclass = {60H10 (34C11)},
mrnumber = {3129122}
}
@Article{ klimovsky:05:learning,
author = {Klimovsky, A.},
title = {Learning and generalization errors for the 2{D} binary
perceptron},
journal = {Math. Comput. Modelling},
fjournal = {Mathematical and Computer Modelling},
volume = {42},
year = {2005},
number = {11-12},
pages = {1339--1358},
issn = {0895-7177},
mrclass = {82C32 (62E20 62M45)},
mrnumber = {2185355},
mrreviewer = {Dimitri\ Petritis},
doi = {10.1016/j.mcm.2004.09.010},
url = {https://doi.org/10.1016/j.mcm.2004.09.010}
}
@Article{ klimovsky:12:high-dimensional,
author = {Klimovsky, Anton},
title = {High-dimensional {G}aussian fields with isotropic
increments seen through spin glasses},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {17},
year = {2012},
pages = {no. 17, 14},
issn = {1083-589X},
mrclass = {60K35 (60F10 60G15 60G60)},
mrnumber = {2915663},
doi = {10.1214/ECP.v17-1994},
url = {https://doi.org/10.1214/ECP.v17-1994}
}
@Article{ kluppelberg.lindner.ea:04:continuous-time,
author = {Kl\"{u}ppelberg, Claudia and Lindner, Alexander and
Maller, Ross},
title = {A continuous-time {GARCH} process driven by a {L}\'{e}vy
process: stationarity and second-order behaviour},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {41},
year = {2004},
number = {3},
pages = {601--622},
issn = {0021-9002},
mrclass = {62M10 (60G10 91B28 91B84)},
mrnumber = {2074811},
mrreviewer = {P. A. Morettin},
doi = {10.1017/s0021900200020428},
url = {https://doi.org/10.1017/s0021900200020428}
}
@Book{ knight:81:essentials,
author = {Knight, Frank B.},
title = {Essentials of {B}rownian motion and diffusion},
series = {Mathematical Surveys, No. 18},
publisher = {American Mathematical Society, Providence, R.I.},
year = {1981},
pages = {xiii+201},
isbn = {0-8218-1518-0},
mrclass = {60J65 (60J60)},
mrnumber = {613983},
mrreviewer = {D. Kannan}
}
@Article{ knizhnik.polyakov.ea:88:fractal,
author = {Knizhnik, V. G. and Polyakov, A. M. and Zamolodchikov, A.
B.},
title = {Fractal structure of {$2$}{D}-quantum gravity},
journal = {Modern Phys. Lett. A},
fjournal = {Modern Physics Letters A. Particles and Fields,
Gravitation, Cosmology, Nuclear Physics},
volume = {3},
year = {1988},
number = {8},
pages = {819--826},
issn = {0217-7323},
mrclass = {83C45 (81E13 81E15 81G25)},
mrnumber = {947880},
mrreviewer = {Markku Lehto},
doi = {10.1142/S0217732388000982},
url = {https://doi.org/10.1142/S0217732388000982}
}
@Article{ kobayashi.sirao.ea:77:on,
author = {Kobayashi, Kusuo and Sirao, Tunekiti and Tanaka, Hiroshi},
title = {On the growing up problem for semilinear heat equations},
journal = {J. Math. Soc. Japan},
fjournal = {Journal of the Mathematical Society of Japan},
volume = {29},
year = {1977},
number = {3},
pages = {407--424},
issn = {0025-5645},
mrclass = {35K55},
mrnumber = {450783},
mrreviewer = {Joel Smoller},
doi = {10.2969/jmsj/02930407},
url = {https://doi.org/10.2969/jmsj/02930407}
}
@Article{ kobayashi:11:stochastic,
author = {Kobayashi, Kei},
title = {Stochastic calculus for a time-changed semimartingale and
the associated stochastic differential equations},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {24},
year = {2011},
number = {3},
pages = {789--820},
issn = {0894-9840},
mrclass = {60H05 (60H10)},
mrnumber = {2822482},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s10959-010-0320-9},
url = {https://doi.org/10.1007/s10959-010-0320-9}
}
@Book{ kochubei:01:pseudo-differential,
author = {Kochubei, Anatoly N.},
title = {Pseudo-differential equations and stochastics over
non-{A}rchimedean fields},
series = {Monographs and Textbooks in Pure and Applied Mathematics},
volume = {244},
publisher = {Marcel Dekker, Inc., New York},
year = {2001},
pages = {xii+316},
isbn = {0-8247-0655-2},
mrclass = {35S99 (11S85 28C10 35R60 47S10 60H05 60J25 81Q99)},
mrnumber = {1848777},
mrreviewer = {Andrzej\ M\polhk{a}drecki},
doi = {10.1201/9780203908167},
url = {https://doi.org/10.1201/9780203908167}
}
@Article{ kochubei:08:distributed,
author = {Kochubei, Anatoly N.},
title = {Distributed order calculus and equations of ultraslow
diffusion},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {340},
year = {2008},
number = {1},
pages = {252--281},
issn = {0022-247X,1096-0813},
mrclass = {35K57 (26A33)},
mrnumber = {2376152},
doi = {10.1016/j.jmaa.2007.08.024},
url = {https://doi.org/10.1016/j.jmaa.2007.08.024}
}
@Article{ kochubei:08:non-archimedean,
author = {Kochubei, Anatoly N.},
title = {A non-{A}rchimedean wave equation},
journal = {Pacific J. Math.},
fjournal = {Pacific Journal of Mathematics},
volume = {235},
year = {2008},
number = {2},
pages = {245--261},
issn = {0030-8730,1945-5844},
mrclass = {35S10 (11S80 47S10)},
mrnumber = {2386222},
doi = {10.2140/pjm.2008.235.245},
url = {https://doi.org/10.2140/pjm.2008.235.245}
}
@Article{ kochubei:11:general,
author = {Kochubei, Anatoly N.},
title = {General fractional calculus, evolution equations, and
renewal processes},
journal = {Integral Equations Operator Theory},
fjournal = {Integral Equations and Operator Theory},
volume = {71},
year = {2011},
number = {4},
pages = {583--600},
issn = {0378-620X,1420-8989},
mrclass = {26A33 (34A08 35R11 60G22 60K05)},
mrnumber = {2854867},
mrreviewer = {Rudolf\ Gorenflo},
doi = {10.1007/s00020-011-1918-8},
url = {https://doi.org/10.1007/s00020-011-1918-8}
}
@Article{ kochubei:12:fractional-parabolic,
author = {Kochubei, Anatoly N.},
title = {Fractional-parabolic systems},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {37},
year = {2012},
number = {1},
pages = {1--30},
issn = {0926-2601,1572-929X},
mrclass = {35R11 (35A01 35A02 35A08 35B65 35K46)},
mrnumber = {2928236},
mrreviewer = {Giampiero\ Palatucci},
doi = {10.1007/s11118-011-9243-z},
url = {https://doi.org/10.1007/s11118-011-9243-z}
}
@InCollection{ kochubei:19:general,
author = {Kochubei, Anatoly N.},
title = {General fractional calculus},
booktitle = {Handbook of fractional calculus with applications. {V}ol.
1},
pages = {111--126},
publisher = {De Gruyter, Berlin},
year = {2019},
isbn = {978-3-11-057081-6; 978-3-11-057162-2; 978-3-11-057063-2},
mrclass = {26A33 (34A08)},
mrnumber = {3888399}
}
@Article{ kochubeui.euidel-man:04:cauchy,
author = {Kochubeu{i}, A. N. and \`Eu{i}del{\cprime}man, S. D.},
title = {The {C}auchy problem for evolution equations of fractional
order},
journal = {Dokl. Akad. Nauk},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Doklady Akademii Nauk},
volume = {394},
year = {2004},
number = {2},
pages = {159--161},
issn = {0869-5652},
mrclass = {35K15 (26A33 35A08)},
mrnumber = {2089744}
}
@Article{ kochubeui:88:parabolic,
author = {Kochubeu{i}, A. N.},
title = {Parabolic pseudodifferential equations, hypersingular
integrals and {M}arkov processes},
journal = {Izv. Akad. Nauk SSSR Ser. Mat.},
fjournal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
volume = {52},
year = {1988},
number = {5},
pages = {909--934, 1118},
issn = {0373-2436},
mrclass = {60J35 (35K25 35S05)},
mrnumber = {972089},
mrreviewer = {Joerg-Uwe\ Loebus},
doi = {10.1070/IM1989v033n02ABEH000825},
url = {https://doi.org/10.1070/IM1989v033n02ABEH000825}
}
@Article{ kochubeui:89:cauchy,
author = {Kochubeu{i}, A. N.},
title = {The {C}auchy problem for evolution equations of fractional
order},
journal = {Differentsial{\cprime}nye Uravneniya},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {25},
year = {1989},
number = {8},
pages = {1359--1368, 1468},
issn = {0374-0641},
mrclass = {34G10 (34A05 47E05)},
mrnumber = {1014153},
mrreviewer = {Florin Iacob}
}
@Article{ kochubeui:89:one-dimensional,
author = {Kochubeu{i}, A. N.},
title = {One-dimensional point interactions},
journal = {Ukrain. Mat. Zh.},
fjournal = {Akademiya Nauk Ukrainskou{i} SSR. Institut Matematiki.
Ukrainskiu{i} Matematicheskiu{i} Zhurnal},
volume = {41},
year = {1989},
number = {10},
pages = {1391--1395, 1439},
issn = {0041-6053},
mrclass = {81Q10},
mrnumber = {1034685},
mrreviewer = {Julius\ A.\ Semenov},
doi = {10.1007/BF01057262},
url = {https://doi.org/10.1007/BF01057262}
}
@Article{ kochubeui:90:diffusion,
author = {Kochubeu{i}, A. N.},
title = {Diffusion of fractional order},
journal = {Differentsial{\cprime}nye Uravneniya},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {26},
year = {1990},
number = {4},
pages = {660--670, 733--734},
issn = {0374-0641},
mrclass = {35K55 (35R05)},
mrnumber = {1061448},
mrreviewer = {Wojciech M. Zajaczkowski}
}
@Article{ kochubeui:91:parabolic,
author = {Kochubeu{i}, A. N.},
title = {Parabolic equations over the field of {$p$}-adic numbers},
journal = {Izv. Akad. Nauk SSSR Ser. Mat.},
fjournal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
volume = {55},
year = {1991},
number = {6},
pages = {1312--1330},
issn = {0373-2436},
mrclass = {35K30 (35A08 35B35)},
mrnumber = {1152215},
mrreviewer = {A.\ Borzymowski},
doi = {10.1070/IM1992v039n03ABEH002247},
url = {https://doi.org/10.1070/IM1992v039n03ABEH002247}
}
@Article{ kochubeui:98:fundamental,
author = {Kochubeu{i}, A. N.},
title = {Fundamental solutions of pseudodifferential equations
associated with {$p$}-adic quadratic forms},
journal = {Izv. Ross. Akad. Nauk Ser. Mat.},
fjournal = {Izvestiya Rossiiskoi Akademii Nauk. Seriya
Matematicheskaya},
volume = {62},
year = {1998},
number = {6},
pages = {103--124},
issn = {1607-0046,2587-5906},
mrclass = {11S80 (35A08 35S05 47G30 47S10)},
mrnumber = {1680862},
mrreviewer = {Vladimir\ Tulovsky},
doi = {10.1070/im1998v062n06ABEH000222},
url = {https://doi.org/10.1070/im1998v062n06ABEH000222}
}
@Article{ kocubeui:75:extensions,
author = {Ko\v{c}ubeu{i}, A. N.},
title = {Extensions of symmetric operators and of symmetric binary
relations},
journal = {Mat. Zametki},
fjournal = {Akademiya Nauk SSSR. Matematicheskie Zametki},
volume = {17},
year = {1975},
pages = {41--48},
issn = {0025-567X},
mrclass = {47B25},
mrnumber = {365218},
mrreviewer = {E.\ Durszt}
}
@Article{ kocubeui:77:extensions,
author = {Ko\v{c}ubeu{i}, A. N.},
title = {Extensions of a nondensely defined symmetric operator},
journal = {Sibirsk. Mat. \v{Z}.},
fjournal = {Akademija Nauk SSSR. Sibirskoe Otdelenie. Sibirskiu{i}
Matemati\v{c}eskiu{i} \v{Z}urnal},
volume = {18},
year = {1977},
number = {2},
pages = {314--320, 478},
issn = {0037-4474},
mrclass = {47B25},
mrnumber = {458227},
mrreviewer = {E.\ Durszt}
}
@Article{ kocubeui:79:extensions,
author = {Ko\v{c}ubeu{i}, A. N.},
title = {Extensions of a positive definite symmetric operator},
journal = {Dokl. Akad. Nauk Ukrain. SSR Ser. A},
fjournal = {Akademiya Nauk Ukrainskou{i} SSR. Doklady. Seriya A.
Fiziko-Matematicheskie i Tekhnicheskie Nauki},
year = {1979},
number = {3},
pages = {168--171, 237},
issn = {0201-8446},
mrclass = {47A20 (47H06)},
mrnumber = {533792},
mrreviewer = {A.\ Sobczyk}
}
@Article{ kocubeui:80:characteristic,
author = {Ko\v{c}ubeu{i}, A. N.},
title = {Characteristic functions of symmetric operators and their
extensions},
journal = {Izv. Akad. Nauk Armyan. SSR Ser. Mat.},
fjournal = {Izvestiya Akademii Nauk Armyanskou{i} SSR. Seriya
Matematika},
volume = {15},
year = {1980},
number = {3},
pages = {219--232, 247},
issn = {0002-3043},
mrclass = {47A45 (47E05)},
mrnumber = {592863},
mrreviewer = {E.\ R.\ Deal}
}
@Article{ koh.rogers.ea:80:graceful,
author = {Koh, KM and Rogers, DG and Teo, HK and Yap, KY},
title = {Graceful graphs: some further results and problems},
journal = {Congr. Numer},
year = {1980},
volume = {29},
pages = {559--571}
}
@Article{ kohatsu-higa.leon.ea:97:stochastic,
author = {Kohatsu-Higa, Arturo and Le\'{o}n, Jorge A. and Nualart,
David},
title = {Stochastic differential equations with random
coefficients},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {3},
year = {1997},
number = {2},
pages = {233--245},
issn = {1350-7265},
mrclass = {60H10},
mrnumber = {1466309},
mrreviewer = {Daniel Ocone},
doi = {10.2307/3318589},
url = {https://doi.org/10.2307/3318589}
}
@Article{ kohatsu-higa.marquez-carreras.ea:01:asymptotic,
author = {Kohatsu-Higa, A. and M\'{a}rquez-Carreras, D. and
Sanz-Sol\'{e}, M.},
title = {Asymptotic behavior of the density in a parabolic {SPDE}},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {14},
year = {2001},
number = {2},
pages = {427--462},
issn = {0894-9840},
mrclass = {60H07 (60H15 60H20)},
mrnumber = {1838736},
mrreviewer = {Richard B. Sowers},
doi = {10.1023/A:1011163714298},
url = {https://doi.org/10.1023/A:1011163714298}
}
@Article{ kohatsu-higa.marquez-carreras.ea:02:logarithmic,
author = {Kohatsu-Higa, A. and M\'{a}rquez-Carreras, D. and
Sanz-Sol\'{e}, M.},
title = {Logarithmic estimates for the density of hypoelliptic
two-parameter diffusions},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {190},
year = {2002},
number = {2},
pages = {481--506},
issn = {0022-1236},
mrclass = {60H07 (60H10 60H15)},
mrnumber = {1899492},
mrreviewer = {Jan I. Seidler},
doi = {10.1006/jfan.2001.3865},
url = {https://doi.org/10.1006/jfan.2001.3865}
}
@Article{ kohatsu-higa.nualart.ea:14:lan,
author = {Kohatsu-Higa, Arturo and Nualart, Eulalia and Tran, Ngoc
Khue},
title = {L{AN} property for a simple {L}\'{e}vy process},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {352},
year = {2014},
number = {10},
pages = {859--864},
issn = {1631-073X},
mrclass = {60G51 (60F05 60H07 62F12)},
mrnumber = {3262921},
doi = {10.1016/j.crma.2014.08.013},
url = {https://doi.org/10.1016/j.crma.2014.08.013}
}
@Article{ kohatsu-higa.nualart.ea:17:lan,
author = {Kohatsu-Higa, Arturo and Nualart, Eulalia and Tran, Ngoc
Khue},
title = {L{AN} property for an ergodic diffusion with jumps},
journal = {Statistics},
fjournal = {Statistics. A Journal of Theoretical and Applied
Statistics},
volume = {51},
year = {2017},
number = {2},
pages = {419--454},
issn = {0233-1888},
mrclass = {60H07 (60J75 62F12 62M05)},
mrnumber = {3609328},
mrreviewer = {Yvik C. Swan},
doi = {10.1080/02331888.2016.1239727},
url = {https://doi.org/10.1080/02331888.2016.1239727}
}
@Article{ kohatsu-higa.nualart.ea:22:density,
author = {Kohatsu-Higa, Arturo and Nualart, Eulalia and Tran, Ngoc
Khue},
title = {Density estimates for jump diffusion processes},
journal = {Appl. Math. Comput.},
fjournal = {Applied Mathematics and Computation},
volume = {420},
year = {2022},
pages = {Paper No. 126814, 10},
issn = {0096-3003},
mrclass = {60J35 (60H07 60J25 60J74)},
mrnumber = {4372676},
doi = {10.1016/j.amc.2021.126814},
url = {https://doi.org/10.1016/j.amc.2021.126814}
}
@Article{ kohatsu-higa.nualart:21:large,
author = {Kohatsu-Higa, Arturo and Nualart, David},
title = {Large time asymptotic properties of the stochastic heat
equation},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {34},
year = {2021},
number = {3},
pages = {1455--1473},
issn = {0894-9840},
mrclass = {60H15},
mrnumber = {4289891},
doi = {10.1007/s10959-020-01007-y},
url = {https://doi.org/10.1007/s10959-020-01007-y}
}
@Article{ kohatsu-higa.sanz-sole:97:existence,
author = {Kohatsu-Higa, Arturo and Sanz-Sol\'{e}, Marta},
title = {Existence and regularity of density for solutions to
stochastic differential equations with boundary
conditions},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {60},
year = {1997},
number = {1-2},
pages = {1--22},
issn = {1045-1129},
mrclass = {60H10 (60H07)},
mrnumber = {1436429},
mrreviewer = {Marco Ferrante},
doi = {10.1080/17442509708834096},
url = {https://doi.org/10.1080/17442509708834096}
}
@Article{ kokorin:63:methods,
author = {Kokorin, A. I.},
title = {Methods for the lattice-ordering of a free {A}belian group
with a finite number of generators},
journal = {Ural. Gos. Univ. Mat. Zap.},
fjournal = {Ural{\cprime}skiu{i} Gosudarstvennyu{i} Universitet im. A.
M. Gor{\cprime}kogo. Ural{\cprime}skoe Matematicheskoe
Obshchestvo. Matematicheskie Zapiski},
volume = {4},
year = {1963},
number = {tetra, tetrad 1},
pages = {45--48 (1963)},
mrclass = {06.78 (20.00)},
mrnumber = {168679},
mrreviewer = {L. Fuchs}
}
@Article{ kolmogoroff:41:local,
author = {Kolmogoroff, A.},
title = {The local structure of turbulence in incompressible
viscous fluid for very large {R}eynold's numbers},
journal = {C. R. (Doklady) Acad. Sci. URSS (N.S.)},
fjournal = {C. R. (Doklady) Acad. Sci. URSS (N.S.)},
volume = {30},
year = {1941},
pages = {301--305},
mrclass = {76.1X},
mrnumber = {4146},
mrreviewer = {W. R. Sears}
}
@Book{ kolmogoroff:73:grundbegriffe,
author = {Kolmogoroff, A.},
title = {Grundbegriffe der {W}ahrscheinlichkeitsrechnung},
note = {Reprinting of the 1933 edition},
publisher = {Springer-Verlag, Berlin-New York},
year = {1973},
pages = {vii+62},
mrclass = {60A05},
mrnumber = {362415}
}
@Book{ kolmogorov.fomin:57:elements,
author = {Kolmogorov, A. N. and Fomin, S. V.},
title = {Elements of the theory of functions and functional
analysis. {V}ol. 1. {M}etric and normed spaces},
note = {Translated from the first Russian edition by Leo F.
Boron},
publisher = {Graylock Press, Rochester, N.Y.},
year = {1957},
pages = {ix+129},
mrclass = {46.1X},
mrnumber = {0085462}
}
@Article{ kolokolnikov.erneux.ea:06:mesa-type,
author = {Kolokolnikov, T. and Erneux, T. and Wei, J.},
title = {Mesa-type patterns in the one-dimensional {B}russelator
and their stability},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {214},
year = {2006},
number = {1},
pages = {63--77},
issn = {0167-2789},
mrclass = {92E20 (34D15 35K57)},
mrnumber = {2200795},
doi = {10.1016/j.physd.2005.12.005},
url = {https://doi.org/10.1016/j.physd.2005.12.005}
}
@Article{ kolokoltsov:00:symmetric,
author = {Kolokoltsov, Vassili},
title = {Symmetric stable laws and stable-like jump-diffusions},
journal = {Proc. London Math. Soc. (3)},
fjournal = {Proceedings of the London Mathematical Society. Third
Series},
volume = {80},
year = {2000},
number = {3},
pages = {725--768},
issn = {0024-6115},
mrclass = {60E07 (47D07 60G52 60J35)},
mrnumber = {1744782},
mrreviewer = {Yasushi Ishikawa},
doi = {10.1112/S0024611500012314},
url = {https://doi.org/10.1112/S0024611500012314}
}
@Article{ kolsky:56:lxxi,
author = {H. Kolsky},
title = {LXXI. The propagation of stress pulses in viscoelastic
solids},
journal = {The Philosophical Magazine: A Journal of Theoretical
Experimental and Applied Physics},
volume = {1},
number = {8},
pages = {693--710},
year = {1956},
publisher = {Taylor \& Francis},
doi = {10.1080/14786435608238144},
url = {https://doi.org/10.1080/14786435608238144},
eprint = {https://doi.org/10.1080/14786435608238144}
}
@Article{ kolwankar.gangal:96:fractional,
author = {Kolwankar, Kiran M. and Gangal, Anil D.},
title = {Fractional differentiability of nowhere differentiable
functions and dimensions},
journal = {Chaos},
fjournal = {Chaos. An Interdisciplinary Journal of Nonlinear Science},
volume = {6},
year = {1996},
number = {4},
pages = {505--513},
issn = {1054-1500},
mrclass = {26A33 (26A27)},
mrnumber = {1425755},
mrreviewer = {E. R. Love},
doi = {10.1063/1.166197},
url = {https://doi.org/10.1063/1.166197}
}
@Article{ kolwankar.gangal:98:local,
author = {Kolwankar, Kiran M. and Gangal, Anil D.},
title = {Local fractional {F}okker-{P}lanck equation},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {80},
year = {1998},
number = {2},
pages = {214--217},
issn = {0031-9007},
mrclass = {82C31},
mrnumber = {1604435},
doi = {10.1103/PhysRevLett.80.214},
url = {https://doi.org/10.1103/PhysRevLett.80.214}
}
@Article{ komatsu:84:on,
author = {Komatsu, Takashi},
title = {On the martingale problem for generators of stable
processes with perturbations},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {21},
year = {1984},
number = {1},
pages = {113--132},
issn = {0030-6126},
mrclass = {60J35 (58G15 60G44)},
mrnumber = {736974},
mrreviewer = {Mamoru Kanda},
url = {http://projecteuclid.org/euclid.ojm/1200776873}
}
@InProceedings{ komm.kralovic.ea:15:treasure,
author = {Dennis Komm and Rastislav Kr{\'{a}}lovic and Richard
Kr{\'{a}}lovic and Jasmin Smula},
title = {Treasure Hunt with Advice},
booktitle = {{SIROCCO}},
year = {2015},
volume = {9439},
series = {Lecture Notes in Computer Science},
publisher = {Springer},
pages = {328--341}
}
@Article{ komori.cohen.ea:17:weak,
author = {Komori, Yoshio and Cohen, David and Burrage, Kevin},
title = {Weak second order explicit exponential {R}unge-{K}utta
methods for stochastic differential equations},
journal = {SIAM J. Sci. Comput.},
fjournal = {SIAM Journal on Scientific Computing},
volume = {39},
year = {2017},
number = {6},
pages = {A2857--A2878},
issn = {1064-8275,1095-7197},
mrclass = {65C30 (60H10)},
mrnumber = {3735294},
mrreviewer = {Nikolaos\ Halidias},
doi = {10.1137/15M1041341},
url = {https://doi.org/10.1137/15M1041341}
}
@Article{ komorowski.peszat.ea:09:limit,
author = {Komorowski, Tomasz and Peszat, Szymon and Ryzhik, Lenya},
title = {Limit of fluctuations of solutions of {W}igner equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {292},
year = {2009},
number = {2},
pages = {479--510},
issn = {0010-3616,1432-0916},
mrclass = {81S25 (60B10 60H40 82B10)},
mrnumber = {2544740},
mrreviewer = {J.\ A.\ van Casteren},
doi = {10.1007/s00220-009-0895-0},
url = {https://doi.org/10.1007/s00220-009-0895-0}
}
@Article{ komorowski.peszat.ea:10:on,
author = {Komorowski, Tomasz and Peszat, Szymon and Szarek, Tomasz},
title = {On ergodicity of some {M}arkov processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {4},
pages = {1401--1443},
issn = {0091-1798,2168-894X},
mrclass = {60J25 (37A50 60H15 76M35)},
mrnumber = {2663632},
mrreviewer = {Huijie\ Qiao},
doi = {10.1214/09-AOP513},
url = {https://doi.org/10.1214/09-AOP513}
}
@Article{ komorowski.peszat.ea:13:passive,
author = {Komorowski, Tomasz and Peszat, Szymon and Szarek, Tomasz},
title = {Passive tracer in a flow corresponding to two-dimensional
stochastic {N}avier-{S}tokes equations},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {26},
year = {2013},
number = {7},
pages = {1999--2026},
issn = {0951-7715,1361-6544},
mrclass = {76D06 (35Q30 35R60 60H07 60H15 60J25)},
mrnumber = {3071450},
mrreviewer = {Azzouz\ Dermoune},
doi = {10.1088/0951-7715/26/7/1999},
url = {https://doi.org/10.1088/0951-7715/26/7/1999}
}
@Article{ komorowski.peszat:04:transport,
author = {Komorowski, Tomasz and Peszat, Szymon},
title = {Transport of a passive tracer by an irregular velocity
field},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {115},
year = {2004},
number = {5-6},
pages = {1361--1388},
issn = {0022-4715,1572-9613},
mrclass = {76F25 (60G60 76F55 76M35 82C70)},
mrnumber = {2066287},
mrreviewer = {Azzouz\ Dermoune},
doi = {10.1023/B:JOSS.0000028063.58764.68},
url = {https://doi.org/10.1023/B:JOSS.0000028063.58764.68}
}
@InCollection{ komorowski:00:brownian,
author = {Komorowski, Tomasz},
title = {Brownian motion in a {P}oisson obstacle field},
note = {S\'{e}minaire Bourbaki, Vol. 1998/99},
journal = {Ast\'{e}risque},
fjournal = {Ast\'{e}risque},
number = {266},
year = {2000},
pages = {Exp. No. 853, 3, 91--111},
issn = {0303-1179},
mrclass = {60J65 (60-02 60K35)},
mrnumber = {1772671},
mrreviewer = {Ingemar Kaj}
}
@Article{ kondrat-ev.euidel-man:79:boundary-surface,
author = {Kondrat{\cprime}ev, V. A. and \`Eu{i}del{\cprime}man, S. D.},
title = {Boundary-surface conditions in the theory of elliptic
boundary value problems},
journal = {Dokl. Akad. Nauk SSSR},
fjournal = {Doklady Akademii Nauk SSSR},
volume = {246},
year = {1979},
number = {4},
pages = {812--815},
issn = {0002-3264},
mrclass = {35J40},
mrnumber = {543538},
mrreviewer = {Ya. A. Rou{i}tberg}
}
@Article{ kondrat.peszat.ea:00:ergodicity,
author = {Kondrat, G. and Peszat, S. and Zegarlinski, B.},
title = {Ergodicity for generalized {K}awasaki dynamics},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {33},
year = {2000},
number = {33},
pages = {5901--5912},
issn = {0305-4470,1751-8121},
mrclass = {82C05 (60K35 82C20)},
mrnumber = {1785176},
mrreviewer = {Timo\ Sepp\"{a}l\"{a}inen},
doi = {10.1088/0305-4470/33/33/308},
url = {https://doi.org/10.1088/0305-4470/33/33/308}
}
@Article{ kong.nguyen.ea:19:effects,
author = {Kong, Liang and Nguyen, Tung and Shen, Wenxian},
title = {Effects of localized spatial variations on the uniform
persistence and spreading speeds of time periodic two
species competition systems},
journal = {Commun. Pure Appl. Anal.},
fjournal = {Communications on Pure and Applied Analysis},
volume = {18},
year = {2019},
number = {4},
pages = {1613--1636},
issn = {1534-0392,1553-5258},
mrclass = {92D25 (35B40 35K40 35K58 35R09 45K05)},
mrnumber = {3927414},
doi = {10.3934/cpaa.2019077},
url = {https://doi.org/10.3934/cpaa.2019077}
}
@Article{ kong.rawal.ea:15:spreading,
author = {Kong, L. and Rawal, N. and Shen, W.},
title = {Spreading speeds and linear determinacy for two species
competition systems with nonlocal dispersal in periodic
habitats},
journal = {Math. Model. Nat. Phenom.},
fjournal = {Mathematical Modelling of Natural Phenomena},
volume = {10},
year = {2015},
number = {6},
pages = {113--141},
issn = {0973-5348,1760-6101},
mrclass = {92D25 (45K05)},
mrnumber = {3414250},
mrreviewer = {Ihsan\ Topaloglu},
doi = {10.1051/mmnp/201510609},
url = {https://doi.org/10.1051/mmnp/201510609}
}
@Article{ kong.shen:11:positive,
author = {Kong, Liang and Shen, Wenxian},
title = {Positive stationary solutions and spreading speeds of
{KPP} equations in locally spatially inhomogeneous media},
journal = {Methods Appl. Anal.},
fjournal = {Methods and Applications of Analysis},
volume = {18},
year = {2011},
number = {4},
pages = {427--456},
issn = {1073-2772,1945-0001},
mrclass = {35K57 (35B09 92D25)},
mrnumber = {2965986},
mrreviewer = {Juraj\ F\"{o}ldes},
doi = {10.4310/MAA.2011.v18.n4.a5},
url = {https://doi.org/10.4310/MAA.2011.v18.n4.a5}
}
@Article{ kong.shen:14:liouville,
author = {Kong, Liang and Shen, Wenxian},
title = {Liouville type property and spreading speeds of {KPP}
equations in periodic media with localized spatial
inhomogeneity},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {26},
year = {2014},
number = {1},
pages = {181--215},
issn = {1040-7294,1572-9222},
mrclass = {35K58 (34A33 35B10 35B51 35R60 45J05 92D25)},
mrnumber = {3175265},
mrreviewer = {Weian\ Liu},
doi = {10.1007/s10884-014-9351-8},
url = {https://doi.org/10.1007/s10884-014-9351-8}
}
@Article{ konig.lacoin.ea:09:two,
author = {K\"onig, Wolfgang and Lacoin, Hubert and M\"orters, Peter
and Sidorova, Nadia},
title = {A two cities theorem for the parabolic {A}nderson model},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {1},
pages = {347--392},
issn = {0091-1798,2168-894X},
mrclass = {60H25 (60F10 82C44)},
mrnumber = {2489168},
mrreviewer = {Pedro\ Mar\'in Rubio},
doi = {10.1214/08-AOP405},
url = {https://doi.org/10.1214/08-AOP405}
}
@Article{ konig.morters:02:brownian,
author = {K\"{o}nig, Wolfgang and M\"{o}rters, Peter},
title = {Brownian intersection local times: upper tail asymptotics
and thick points},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {30},
year = {2002},
number = {4},
pages = {1605--1656},
issn = {0091-1798},
mrclass = {60J65 (60G17 60J55)},
mrnumber = {1944002},
mrreviewer = {Yimin Xiao},
doi = {10.1214/aop/1039548368},
url = {https://doi.org/10.1214/aop/1039548368}
}
@Book{ konig:16:parabolic,
author = {K\"{o}nig, Wolfgang},
title = {The parabolic {A}nderson model},
series = {Pathways in Mathematics},
note = {Random walk in random potential},
publisher = {Birkh\"{a}user/Springer, [Cham]},
year = {2016},
pages = {xi+192},
isbn = {978-3-319-33595-7; 978-3-319-33596-4},
mrclass = {60-02 (60F10 60J55 60J80 60K35 60K37 82B41 82C41)},
mrnumber = {3526112},
mrreviewer = {Xia Chen},
doi = {10.1007/978-3-319-33596-4},
url = {https://doi.org/10.1007/978-3-319-33596-4}
}
@Article{ konno.shiga:88:stochastic,
author = {Konno, N. and Shiga, T.},
title = {Stochastic partial differential equations for some
measure-valued diffusions},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {79},
year = {1988},
number = {2},
pages = {201--225},
issn = {0178-8051},
mrclass = {60H15 (60J60)},
mrnumber = {958288},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1007/BF00320919},
url = {https://doi.org/10.1007/BF00320919}
}
@Article{ kontsevich.suhov:07:on,
author = {Kontsevich, M. and Suhov, Y.},
title = {On {M}alliavin measures, {SLE}, and {CFT}},
journal = {Tr. Mat. Inst. Steklova},
fjournal = {Trudy Matematicheskogo Instituta Imeni V. A. Steklova},
volume = {258},
year = {2007},
number = {Anal. i Osob. Ch. 1},
pages = {107--153},
issn = {0371-9685},
mrclass = {58J65 (58J52 60H07 60K35 81T40)},
mrnumber = {2400527},
mrreviewer = {Robert Otto Bauer},
doi = {10.1134/S0081543807030108},
url = {https://doi.org/10.1134/S0081543807030108}
}
@InCollection{ koornwinder.wong.ea:10:orthogonal,
author = {Koornwinder, T. H. and Wong, R. and Koekoek, R. and
Swarttouw, R. F.},
title = {Orthogonal polynomials},
booktitle = {N{IST} handbook of mathematical functions},
pages = {435--484},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C45},
mrnumber = {2655358}
}
@Article{ korbel.luchko:16:modeling,
author = {Korbel, Jan and Luchko, Yuri},
title = {Modeling of financial processes with a space-time
fractional diffusion equation of varying order},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis. An International
Journal for Theory and Applications},
volume = {19},
year = {2016},
number = {6},
pages = {1414--1433},
issn = {1311-0454,1314-2224},
mrclass = {91G20 (26A33 34A08 35R11)},
mrnumber = {3589358},
mrreviewer = {Wei-Lin\ Xiao},
doi = {10.1515/fca-2016-0073},
url = {https://doi.org/10.1515/fca-2016-0073}
}
@Book{ korepin.bogoliubov.ea:93:quantum,
author = {Korepin, V. E. and Bogoliubov, N. M. and Izergin, A. G.},
title = {Quantum inverse scattering method and correlation
functions},
series = {Cambridge Monographs on Mathematical Physics},
publisher = {Cambridge University Press, Cambridge},
year = {1993},
pages = {xx+555},
isbn = {0-521-37320-4; 0-521-58646-1},
mrclass = {81U40 (81-02 81T40 82-02 82B10)},
mrnumber = {1245942},
mrreviewer = {Makoto Idzumi},
doi = {10.1017/CBO9780511628832},
url = {https://doi.org/10.1017/CBO9780511628832}
}
@Book{ korevaar:04:tauberian,
author = {Korevaar, Jacob},
title = {Tauberian theory},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {329},
note = {A century of developments},
publisher = {Springer-Verlag, Berlin},
year = {2004},
pages = {xvi+483},
isbn = {3-540-21058-X},
mrclass = {11M45 (11-03 11N05 40-02 40-03 40E05 42-02)},
mrnumber = {2073637},
mrreviewer = {Angel V. Kumchev},
doi = {10.1007/978-3-662-10225-1},
url = {https://doi.org/10.1007/978-3-662-10225-1}
}
@Book{ korner:22:fourier,
author = {K\"{o}rner, T. W.},
title = {Fourier analysis},
series = {Cambridge Mathematical Library},
note = {Reprint of [ 0924154], With a foreword by Terence Tao},
publisher = {Cambridge University Press, Cambridge},
year = {2022},
pages = {xiv+591},
isbn = {978-1-009-23005-6},
mrclass = {42-01 (60-01)},
mrnumber = {4404761},
doi = {10.1017/9781009230063},
url = {https://doi.org/10.1017/9781009230063}
}
@Article{ korteweg.vries:95:on,
author = {Korteweg, D. J. and de Vries, G.},
title = {On the change of form of long waves advancing in a
rectangular canal, and on a new type of long stationary
waves},
journal = {Philos. Mag. (5)},
fjournal = {The London, Edinburgh, and Dublin Philosophical Magazine
and Journal of Sciences. Fifth Series},
volume = {39},
year = {1895},
number = {240},
pages = {422--443},
issn = {1941-5982},
mrclass = {35Q53 (76B15 76D33)},
mrnumber = {3363408},
doi = {10.1080/14786449508620739},
url = {https://doi.org/10.1080/14786449508620739}
}
@Article{ kostov.staudacher:92:multicritical,
author = {Kostov, Ivan K. and Staudacher, Matthias},
title = {Multicritical phases of the {${\rm O}(n)$} model on a
random lattice},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {384},
year = {1992},
number = {3},
pages = {459--483},
issn = {0550-3213},
mrclass = {81T30 (82B20 82B27)},
mrnumber = {1188360},
mrreviewer = {David S\'{e}n\'{e}chal},
doi = {10.1016/0550-3213(92)90576-W},
url = {https://doi.org/10.1016/0550-3213(92)90576-W}
}
@InCollection{ kostov:10:boundary,
author = {Kostov, I.},
title = {Boundary loop models and 2{D} quantum gravity},
booktitle = {Exact methods in low-dimensional statistical physics and
quantum computing},
pages = {363--406},
publisher = {Oxford Univ. Press, Oxford},
year = {2010},
mrclass = {83C80 (83C45)},
mrnumber = {2668651},
mrreviewer = {Claudio Dappiaggi}
}
@InCollection{ kostov:11:two-dimensional,
author = {Kostov, Ivan},
title = {Two-dimensional quantum gravity},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {619--640},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {83C45 (15B52 60B20 81T17 83C27)},
mrnumber = {2932650},
mrreviewer = {Jonathan R. McDonald}
}
@Article{ kostov:91:loop,
author = {Kostov, I. K.},
title = {Loop amplitudes for nonrational string theories},
journal = {Phys. Lett. B},
fjournal = {Physics Letters. B. Particle Physics, Nuclear Physics and
Cosmology},
volume = {266},
year = {1991},
number = {3-4},
pages = {317--324},
issn = {0370-2693},
mrclass = {81T40},
mrnumber = {1126824},
doi = {10.1016/0370-2693(91)91047-Y},
url = {https://doi.org/10.1016/0370-2693(91)91047-Y}
}
@Article{ kostov:92:strings,
author = {Kostov, Ivan K.},
title = {Strings with discrete target space},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {376},
year = {1992},
number = {3},
pages = {539--598},
issn = {0550-3213},
mrclass = {81T30},
mrnumber = {1170955},
mrreviewer = {Andrew R. Kavalov},
doi = {10.1016/0550-3213(92)90120-Z},
url = {https://doi.org/10.1016/0550-3213(92)90120-Z}
}
@Article{ kosygina.rezakhanlou.ea:06:stochastic,
author = {Kosygina, Elena and Rezakhanlou, Fraydoun and Varadhan, S.
R. S.},
title = {Stochastic homogenization of {H}amilton-{J}acobi-{B}ellman
equations},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {59},
year = {2006},
number = {10},
pages = {1489--1521},
issn = {0010-3640,1097-0312},
mrclass = {35B27 (35B25 35F20 49J45 60H25 76M35 76M50 76S05)},
mrnumber = {2248897},
mrreviewer = {Catherine\ Choquet},
doi = {10.1002/cpa.20137},
url = {https://doi.org/10.1002/cpa.20137}
}
@Article{ kosygina.varadhan:08:homogenization,
author = {Kosygina, Elena and Varadhan, S. R. S.},
title = {Homogenization of {H}amilton-{J}acobi-{B}ellman equations
with respect to time-space shifts in a stationary ergodic
medium},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {61},
year = {2008},
number = {6},
pages = {816--847},
issn = {0010-3640,1097-0312},
mrclass = {35B27 (34E15 34F05 35B25 35K59 60H30)},
mrnumber = {2400607},
mrreviewer = {Mamadou\ Sango},
doi = {10.1002/cpa.20220},
url = {https://doi.org/10.1002/cpa.20220}
}
@Article{ kosygina.yilmaz.ea:20:homogenization,
author = {Kosygina, Elena and Yilmaz, Atilla and Zeitouni, Ofer},
title = {Homogenization of a class of one-dimensional nonconvex
viscous {H}amilton-{J}acobi equations with random
potential},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {45},
year = {2020},
number = {1},
pages = {32--56},
issn = {0360-5302,1532-4133},
mrclass = {35B27 (35K59 60K37 93E20)},
mrnumber = {4037096},
mrreviewer = {Ben\ W.\ Schweizer},
doi = {10.1080/03605302.2019.1657448},
url = {https://doi.org/10.1080/03605302.2019.1657448}
}
@Article{ kotani.simon:87:localization,
author = {Kotani, S. and Simon, B.},
title = {Localization in general one-dimensional random systems.
{II}. {C}ontinuum {S}chr\"{o}dinger operators},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {112},
year = {1987},
number = {1},
pages = {103--119},
issn = {0010-3616},
mrclass = {81C20 (82A42)},
mrnumber = {904140},
mrreviewer = {Werner Kohler},
url = {http://projecteuclid.org/euclid.cmp/1104159811}
}
@Article{ kotani:18:construction,
author = {Kotani, Shinichi},
title = {Construction of {K}d{V} flow {I}. {$\tau$}-function via
{W}eyl function},
journal = {J. Math. Phys. Anal. Geom.},
fjournal = {Journal of Mathematical Physics, Analysis, Geometry},
volume = {14},
year = {2018},
number = {3},
pages = {297--335},
issn = {1812-9471},
mrclass = {35Q53 (30D10 35B15)},
mrnumber = {3875080},
doi = {10.15407/mag14.03.297},
url = {https://doi.org/10.15407/mag14.03.297}
}
@InCollection{ kotani:84:ljapunov,
author = {Kotani, Shinichi},
title = {Ljapunov indices determine absolutely continuous spectra
of stationary random one-dimensional {S}chr\"{o}dinger
operators},
booktitle = {Stochastic analysis ({K}atata/{K}yoto, 1982)},
series = {North-Holland Math. Library},
volume = {32},
pages = {225--247},
publisher = {North-Holland, Amsterdam},
year = {1984},
mrclass = {60H25 (35P05 81C20 82A57)},
mrnumber = {780760},
mrreviewer = {W. Kirsch},
doi = {10.1016/S0924-6509(08)70395-7},
url = {https://doi.org/10.1016/S0924-6509(08)70395-7}
}
@Book{ kotelenez:08:stochastic,
author = {Kotelenez, Peter},
title = {Stochastic ordinary and stochastic partial differential
equations},
series = {Stochastic Modelling and Applied Probability},
volume = {58},
note = {Transition from microscopic to macroscopic equations},
publisher = {Springer, New York},
year = {2008},
pages = {x+458},
isbn = {978-0-387-74316-5},
mrclass = {60-02 (35R60 60H10 60H15)},
mrnumber = {2370567},
mrreviewer = {Carlos M. Mora Gonz\'{a}lez}
}
@Article{ kotelenez:92:comparison,
author = {Kotelenez, Peter},
title = {Comparison methods for a class of function valued
stochastic partial differential equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {93},
year = {1992},
number = {1},
pages = {1--19},
issn = {0178-8051},
mrclass = {60H15 (35R15 35R60)},
mrnumber = {1172936},
mrreviewer = {Ralf Manthey},
doi = {10.1007/BF01195385},
url = {https://doi.org/10.1007/BF01195385}
}
@Article{ kotelenez:92:existence,
author = {Kotelenez, Peter},
title = {Existence, uniqueness and smoothness for a class of
function valued stochastic partial differential equations},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {41},
year = {1992},
number = {3},
pages = {177--199},
issn = {1045-1129},
mrclass = {60H15 (35R60)},
mrnumber = {1275582},
mrreviewer = {Bj\"{o}rn Schmalfuss},
doi = {10.1080/17442509208833801},
url = {https://doi.org/10.1080/17442509208833801}
}
@Book{ kothe:79:topological,
author = {K\"{o}the, Gottfried},
title = {Topological vector spaces. {II}},
series = {Grundlehren der Mathematischen Wissenschaften},
volume = {237},
publisher = {Springer-Verlag, New York-Berlin},
year = {1979},
pages = {xii+331},
isbn = {0-387-90400-X},
mrclass = {46-02 (45M05 46Axx)},
mrnumber = {551623},
mrreviewer = {D. J. H. Garling}
}
@Article{ koukiou:93:analyticity,
author = {Koukiou, F.},
title = {Analyticity of the partition function of the random energy
model},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {26},
year = {1993},
number = {23},
pages = {L1207--L1210},
issn = {0305-4470},
mrclass = {82B26},
mrnumber = {1253873},
url = {http://stacks.iop.org/0305-4470/26/L1207}
}
@Article{ kowalczyk.szymanska:08:on,
author = {Kowalczyk, Remigiusz and Szyma\'{n}ska, Zuzanna},
title = {On the global existence of solutions to an aggregation
model},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {343},
year = {2008},
number = {1},
pages = {379--398},
issn = {0022-247X},
mrclass = {35K50 (80A20)},
mrnumber = {2412135},
doi = {10.1016/j.jmaa.2008.01.005},
url = {https://doi.org/10.1016/j.jmaa.2008.01.005}
}
@Article{ kowalczyk:05:preventing,
author = {Kowalczyk, R.},
title = {Preventing blow-up in a chemotaxis model},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {305},
year = {2005},
number = {2},
pages = {566--588},
issn = {0022-247X},
mrclass = {35Q80 (35B40 35B45 35K57 92C17)},
mrnumber = {2130723},
mrreviewer = {Jos\'{e} Ignacio Tello},
doi = {10.1016/j.jmaa.2004.12.009},
url = {https://doi.org/10.1016/j.jmaa.2004.12.009}
}
@Book{ kozlov.maz-ya.ea:97:elliptic,
author = {Kozlov, V. A. and Maz{\cprime}ya, V. G. and Rossmann, J.},
title = {Elliptic boundary value problems in domains with point
singularities},
series = {Mathematical Surveys and Monographs},
volume = {52},
publisher = {American Mathematical Society, Providence, RI},
year = {1997},
pages = {x+414},
isbn = {0-8218-0754-4},
mrclass = {35J40 (35A20 35S15 46N20 47F05)},
mrnumber = {1469972},
mrreviewer = {M. S. Agranovich},
doi = {10.1090/surv/052},
url = {https://doi.org/10.1090/surv/052}
}
@Article{ kozma.zeitouni:13:on,
author = {Kozma, Gady and Zeitouni, Ofer},
title = {On common roots of random {B}ernoulli polynomials},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2013},
number = {18},
pages = {4334--4347},
issn = {1073-7928,1687-0247},
mrclass = {60C05 (11B68 60G99)},
mrnumber = {3106890},
doi = {10.1093/imrn/rns164},
url = {https://doi.org/10.1093/imrn/rns164}
}
@Article{ kozono.miura.ea:16:existence,
author = {Kozono, Hideo and Miura, Masanari and Sugiyama, Yoshie},
title = {Existence and uniqueness theorem on mild solutions to the
{K}eller-{S}egel system coupled with the {N}avier-{S}tokes
fluid},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {270},
year = {2016},
number = {5},
pages = {1663--1683},
issn = {0022-1236},
mrclass = {35Q35 (35A01 35A02 35B30 35B35 35C06 76D05)},
mrnumber = {3452713},
mrreviewer = {Jingyu Li},
doi = {10.1016/j.jfa.2015.10.016},
url = {https://doi.org/10.1016/j.jfa.2015.10.016}
}
@Article{ kozono.sugiyama:08:keller-segel,
author = {Kozono, Hideo and Sugiyama, Yoshie},
title = {The {K}eller-{S}egel system of parabolic-parabolic type
with initial data in weak {$L^{n/2}(\Bbb R^n)$} and its
application to self-similar solutions},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {57},
year = {2008},
number = {4},
pages = {1467--1500},
issn = {0022-2518},
mrclass = {35K45 (35B35 35B65 35C05 35K55)},
mrnumber = {2440871},
mrreviewer = {Philip Broadbridge},
doi = {10.1512/iumj.2008.57.3316},
url = {https://doi.org/10.1512/iumj.2008.57.3316}
}
@Article{ kozono.sugiyama:09:global,
author = {Kozono, Hideo and Sugiyama, Yoshie},
title = {Global strong solution to the semi-linear {K}eller-{S}egel
system of parabolic-parabolic type with small data in scale
invariant spaces},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {247},
year = {2009},
number = {1},
pages = {1--32},
issn = {0022-0396},
mrclass = {35K45 (35A01 35B40 35K59 35Q92)},
mrnumber = {2510126},
mrreviewer = {Verena B\"{o}gelein},
doi = {10.1016/j.jde.2009.03.027},
url = {https://doi.org/10.1016/j.jde.2009.03.027}
}
@Article{ krageloh:03:two,
author = {Kr\"{a}geloh, Alexander M.},
title = {Two families of functions related to the fractional powers
of generators of strongly continuous contraction
semigroups},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {283},
year = {2003},
number = {2},
pages = {459--467},
issn = {0022-247X},
mrclass = {47A60 (47D06)},
mrnumber = {1991820},
mrreviewer = {J. A. van Casteren},
doi = {10.1016/S0022-247X(03)00269-5},
url = {https://doi.org/10.1016/S0022-247X(03)00269-5}
}
@Article{ krajenbrink.le-doussal.ea:18:systematic,
author = {Krajenbrink, Alexandre and Le Doussal, Pierre and Prolhac,
Sylvain},
title = {Systematic time expansion for the
{K}ardar-{P}arisi-{Z}hang equation, linear statistics of
the {GUE} at the edge and trapped fermions},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {936},
year = {2018},
pages = {239--305},
issn = {0550-3213},
mrclass = {60K35 (81V35)},
mrnumber = {3869768},
doi = {10.1016/j.nuclphysb.2018.09.019},
url = {https://doi.org/10.1016/j.nuclphysb.2018.09.019}
}
@Article{ krajenbrink.le-doussal:18:simple,
author = {Krajenbrink, Alexandre and Le Doussal, Pierre},
title = {Simple derivation of the {$(-\lambda H)^{5/2}$} tail for
the 1{D} {KPZ} equation},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2018},
number = {6},
pages = {063210, 32},
mrclass = {82C05},
mrnumber = {3832292},
doi = {10.1088/1742-5468/aac90f},
url = {https://doi.org/10.1088/1742-5468/aac90f}
}
@Article{ kramers:40:brownian,
author = {Kramers, H. A.},
title = {Brownian motion in a field of force and the diffusion
model of chemical reactions},
journal = {Physica},
fjournal = {Physica},
volume = {7},
year = {1940},
pages = {284--304},
issn = {0031-8914},
mrclass = {79.0X},
mrnumber = {2962},
mrreviewer = {N. Wiener}
}
@Book{ krantz:93:geometric,
author = {Krantz, Steven G.},
title = {Geometric analysis and function spaces},
series = {CBMS Regional Conference Series in Mathematics},
volume = {81},
publisher = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC; by the American Mathematical
Society, Providence, RI},
year = {1993},
pages = {xii+202},
isbn = {0-8218-0734-X},
mrclass = {32-02 (32A37 32F20 35N15 46E15 46J15)},
mrnumber = {1228447},
mrreviewer = {Harold P. Boas},
doi = {10.1090/cbms/081},
url = {https://doi.org/10.1090/cbms/081}
}
@Article{ krapf.metzler:19:strange-interfacial-molecular-dynamics,
author = {Krapf, Diego and Metzler, Ralf},
title = "{Strange interfacial molecular dynamics}",
journal = {Physics Today},
volume = {72},
number = {9},
pages = {48--54},
year = {2019},
month = {09},
issn = {0031-9228},
doi = {10.1063/PT.3.4294},
url = {https://doi.org/10.1063/PT.3.4294},
eprint = {https://pubs.aip.org/physicstoday/article-pdf/72/9/48/16664699/48\_1\_online.pdf}
}
@InCollection{ kravtsov:11:random,
author = {Kravtsov, V. E.},
title = {Random matrix representations of critical statistics},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {250--269},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {82B27 (60B20 82B44)},
mrnumber = {2932632},
mrreviewer = {Vladimir Al. Osipov}
}
@Article{ kriecherbauer.krug:10:pedestrians,
author = {Kriecherbauer, Thomas and Krug, Joachim},
title = {A pedestrian's view on interacting particle systems, {KPZ}
universality and random matrices},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {43},
year = {2010},
number = {40},
pages = {403001, 41},
issn = {1751-8113},
mrclass = {60K35 (60B20 82C22)},
mrnumber = {2725545},
mrreviewer = {M\'{a}rton Bal\'{a}zs},
doi = {10.1088/1751-8113/43/40/403001},
url = {https://doi.org/10.1088/1751-8113/43/40/403001}
}
@Article{ krishnan.quastel:18:tracy-widom,
author = {Krishnan, Arjun and Quastel, Jeremy},
title = {Tracy-{W}idom fluctuations for perturbations of the
log-gamma polymer in intermediate disorder},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {28},
year = {2018},
number = {6},
pages = {3736--3764},
issn = {1050-5164},
mrclass = {60K35 (60K37 82D60)},
mrnumber = {3861825},
doi = {10.1214/18-AAP1404},
url = {https://doi.org/10.1214/18-AAP1404}
}
@Article{ krishnapur.peres:04:recurrent,
author = {Krishnapur, Manjunath and Peres, Yuval},
title = {Recurrent graphs where two independent random walks
collide finitely often},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {9},
year = {2004},
pages = {72--81},
issn = {1083-589X},
mrclass = {60B99 (60G50 60J10)},
mrnumber = {2081461},
mrreviewer = {Kyle Siegrist},
doi = {10.1214/ECP.v9-1111},
url = {https://doi.org/10.1214/ECP.v9-1111}
}
@Article{ krishnapur.rider.ea:16:universality,
author = {Krishnapur, Manjunath and Rider, Brian and Vir\'{a}g,
B\'{a}lint},
title = {Universality of the stochastic {A}iry operator},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {69},
year = {2016},
number = {1},
pages = {145--199},
issn = {0010-3640},
mrclass = {60B20 (15B52 47B36 47B80)},
mrnumber = {3433632},
mrreviewer = {Sasha Sodin},
doi = {10.1002/cpa.21573},
url = {https://doi.org/10.1002/cpa.21573}
}
@Book{ krishnapur:06:zeros,
author = {Krishnapur, Manjunath Ramanatha},
title = {Zeros of random analytic functions},
note = {Thesis (Ph.D.)--University of California, Berkeley},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2006},
pages = {76},
isbn = {978-0542-82538-5},
mrclass = {Thesis},
mrnumber = {2709142},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3228387}
}
@Article{ krug.spohn:91:kinetic,
title = {Kinetic roughening of growing surfaces},
author = {Krug, J and Spohn, H},
journal = {Solids far from equilibrium},
pages = {479--582},
year = {1991},
publisher = {Cambridge Univ. Press}
}
@Article{ kruk.russo.ea:07:wiener,
author = {Kruk, Ida and Russo, Francesco and Tudor, Ciprian A.},
title = {Wiener integrals, {M}alliavin calculus and covariance
measure structure},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {249},
year = {2007},
number = {1},
pages = {92--142},
issn = {0022-1236,1096-0783},
mrclass = {60H07 (60G15)},
mrnumber = {2338856},
mrreviewer = {Josep\ Vives},
doi = {10.1016/j.jfa.2007.03.031},
url = {https://doi.org/10.1016/j.jfa.2007.03.031}
}
@Article{ krupski:17:scaling,
author = {Krupski, Mi\l osz},
title = {Scaling limits of solutions of linear evolution equations
with random initial conditions},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {17},
year = {2017},
number = {3},
pages = {1750019, 24},
issn = {0219-4937,1793-6799},
mrclass = {35R60 (35B40 60G10 60G20 60G60)},
mrnumber = {3628179},
mrreviewer = {Le\ Chen},
doi = {10.1142/S0219493717500198},
url = {https://doi.org/10.1142/S0219493717500198}
}
@Article{ kryloff.bogoliouboff:37:theorie,
author = {Kryloff, Nicolas and Bogoliouboff, Nicolas},
title = {La th\'{e}orie g\'{e}n\'{e}rale de la mesure dans son
application \`a l'\'{e}tude des syst\`emes dynamiques de la
m\'{e}canique non lin\'{e}aire},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {38},
year = {1937},
number = {1},
pages = {65--113},
issn = {0003-486X},
mrclass = {DML},
mrnumber = {1503326},
doi = {10.2307/1968511},
url = {https://doi.org/10.2307/1968511}
}
@Book{ krylov.rockner.ea:99:stochastic,
author = {Krylov, N. V. and R\"{o}ckner, M. and Zabczyk, J.},
title = {Stochastic {PDE}'s and {K}olmogorov equations in infinite
dimensions},
series = {Lecture Notes in Mathematics},
volume = {1715},
note = {Lectures given at the 2nd C.I.M.E. Session held in
Cetraro, August 24--September 1, 1998, Edited by G. Da
Prato, Fondazione CIME/CIME Foundation Subseries},
publisher = {Springer-Verlag, Berlin; Centro Internazionale Matematico
Estivo (C.I.M.E.), Florence},
year = {1999},
pages = {viii+213},
isbn = {3-540-66545-5},
mrclass = {60-06 (00B25 35-06)},
mrnumber = {1730228},
doi = {10.1007/BFb0092416},
url = {https://doi.org/10.1007/BFb0092416}
}
@Article{ krylov.rockner:05:strong,
author = {Krylov, N. V. and R\"{o}ckner, M.},
title = {Strong solutions of stochastic equations with singular
time dependent drift},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {131},
year = {2005},
number = {2},
pages = {154--196},
issn = {0178-8051},
mrclass = {60H20 (35R60 60J60)},
mrnumber = {2117951},
mrreviewer = {B. G. Pachpatte},
doi = {10.1007/s00440-004-0361-z},
url = {https://doi.org/10.1007/s00440-004-0361-z}
}
@InCollection{ krylov.rozovski:81:on,
author = {Krylov, N. V. and Rozovski\u{\i}, B. L.},
title = {On the first integrals and {L}iouville equations for
diffusion processes},
booktitle = {Stochastic differential systems ({V}isegr\'{a}d, 1980)},
series = {Lect. Notes Control Inf. Sci.},
volume = {36},
pages = {117--125},
publisher = {Springer, Berlin-New York},
year = {1981},
mrclass = {60J60 (60H20)},
mrnumber = {653654},
mrreviewer = {Constantin Tudor}
}
@Article{ krylov.rozovski:82:characteristics,
author = {Krylov, N. V. and Rozovski\u{\i}, B. L.},
title = {Characteristics of second-order degenerate parabolic
{I}t\^{o} equations},
journal = {Trudy Sem. Petrovsk.},
fjournal = {Moskovski\u{\i} Universitet. Trudy Seminara imeni I. G.
Petrovskogo},
number = {8},
year = {1982},
pages = {153--168},
issn = {0321-2971},
mrclass = {35R60 (35K65 60H15)},
mrnumber = {673162},
mrreviewer = {Z. Schuss}
}
@InCollection{ krylov.rozovskiui:79:stochastic,
author = {Krylov, N. V. and Rozovskiu{i}, B. L.},
title = {Stochastic evolution equations},
booktitle = {Current problems in mathematics, {V}ol. 14 ({R}ussian)},
pages = {71--147, 256},
publisher = {Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn.
Informatsii, Moscow},
year = {1979},
mrclass = {60H15 (35R60 58D25 60H10)},
mrnumber = {570795},
mrreviewer = {Jean M\'{e}min}
}
@Article{ krylov.wang:11:filtering,
author = {Krylov, N. V. and Wang, Teng},
title = {Filtering partially observable diffusions up to the exit
time from a domain},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {8},
pages = {1785--1815},
issn = {0304-4149},
mrclass = {60J60 (60H15)},
mrnumber = {2811024},
mrreviewer = {Jian Song},
doi = {10.1016/j.spa.2011.04.008},
url = {https://doi.org/10.1016/j.spa.2011.04.008}
}
@InCollection{ krylov:07:maximum,
author = {Krylov, Nicolai V.},
title = {Maximum principle for {SPDE}s and its applications},
booktitle = {Stochastic differential equations: theory and
applications},
series = {Interdiscip. Math. Sci.},
volume = {2},
pages = {311--338},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2007},
mrclass = {35R60 (35B50 60H15)},
mrnumber = {2393582},
doi = {10.1142/9789812770639\_0012},
url = {https://doi.org/10.1142/9789812770639_0012}
}
@Article{ krylov:13:relatively,
author = {Krylov, N. V.},
title = {A relatively short proof of {I}t\^{o}'s formula for
{SPDE}s and its applications},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {1},
year = {2013},
number = {1},
pages = {152--174},
issn = {2194-0401},
mrclass = {60H15 (35B50 35R60)},
mrnumber = {3327504},
mrreviewer = {Guangying Lv},
doi = {10.1007/s40072-013-0003-5},
url = {https://doi.org/10.1007/s40072-013-0003-5}
}
@Article{ krylov:60:some,
author = {Krylov, V. Ju.},
title = {Some properties of the distribution corresponding to the
equation {$\partial u/\partial t=(-1)^{q+1} \partial
^{2q}u/\partial x^{2q}$}},
journal = {Dokl. Akad. Nauk SSSR},
fjournal = {Doklady Akademii Nauk SSSR},
volume = {132},
number = {},
year = {1960},
pages = {1254--1257},
issn = {0002-3264},
mrclass = {35.00},
mrnumber = {118953},
mrreviewer = {J. Feldman}
}
@Article{ krylov:96:on,
author = {Krylov, N. V.},
title = {On {$L_p$}-theory of stochastic partial differential
equations in the whole space},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {27},
year = {1996},
number = {2},
pages = {313--340},
issn = {0036-1410},
mrclass = {60H15 (35R60)},
mrnumber = {1377477},
mrreviewer = {Krystyna Twardowska},
doi = {10.1137/S0036141094263317},
url = {https://doi.org/10.1137/S0036141094263317}
}
@InCollection{ krylov:99:analytic,
author = {Krylov, N. V.},
title = {An analytic approach to {SPDE}s},
booktitle = {Stochastic partial differential equations: six
perspectives},
series = {Math. Surveys Monogr.},
volume = {64},
pages = {185--242},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1999},
mrclass = {60H15 (35R60)},
mrnumber = {1661766},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1090/surv/064/05},
url = {https://doi.org/10.1090/surv/064/05}
}
@Article{ kublanovskaja:65:on,
author = {Kublanovskaja, V. N.},
title = {On a certain process of supplementary orthogonalisation of
vectors},
journal = {\v{Z}. Vy\v{c}isl. Mat i Mat. Fiz.},
fjournal = {\v{Z}urnal Vy\v{c}islitel{\cprime}nou{i} Matematiki i
Matemati\v{c}eskou{i} Fiziki},
volume = {5},
year = {1965},
pages = {326--329},
issn = {0044-4669},
mrclass = {65.35},
mrnumber = {196920},
mrreviewer = {L. Mirsky}
}
@Article{ kuczma:60:remarks,
author = {Kuczma, M.},
title = {Remarks on some functional equations},
journal = {Ann. Polon. Math.},
fjournal = {Polska Akademia Nauk. Annales Polonici Mathematici},
volume = {8},
year = {1960},
pages = {277--284},
issn = {0066-2216},
mrclass = {39.30},
mrnumber = {132938},
mrreviewer = {M. Hossz\'{u}},
doi = {10.4064/ap-8-3-277-284},
url = {https://doi.org/10.4064/ap-8-3-277-284}
}
@Article{ kuehn.romano:19:scaling,
author = {Kuehn, Christian and Romano, Francesco},
title = {Scaling laws and warning signs for bifurcations of
{SPDE}s},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {30},
year = {2019},
number = {5},
pages = {853--868},
issn = {0956-7925,1469-4425},
mrclass = {35R60 (34G10 37G99 60H15)},
mrnumber = {4001556},
mrreviewer = {Le\ Chen},
doi = {10.1017/s0956792518000438},
url = {https://doi.org/10.1017/s0956792518000438}
}
@Article{ kuelbs.li.ea:94:gaussian,
author = {Kuelbs, James and Li, Wenbo V. and Linde, Werner},
title = {The {G}aussian measure of shifted balls},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {98},
year = {1994},
number = {2},
pages = {143--162},
issn = {0178-8051,1432-2064},
mrclass = {60B05 (60B12 60G15)},
mrnumber = {1258983},
mrreviewer = {Z.\ G.\ Gorgadze},
doi = {10.1007/BF01192511},
url = {https://doi.org/10.1007/BF01192511}
}
@Article{ kuelbs.li.ea:94:results,
author = {Kuelbs, James and Li, Wenbo V. and Talagrand, Michel},
title = {{$\liminf$} results for {G}aussian samples and {C}hung's
functional {LIL}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {4},
pages = {1879--1903},
issn = {0091-1798},
mrclass = {60F15 (60F17 60G15 60G17)},
mrnumber = {1331209},
mrreviewer = {Endre Cs\'{a}ki},
url = {http://links.jstor.org/sici?sici=0091-1798(199410)22:4<1879:LIRFGS>2.0.CO;2-Y&origin=MSN}
}
@Article{ kuelbs.li.ea:95:small,
author = {Kuelbs, J. and Li, W. V. and Shao, Qi Man},
title = {Small ball probabilities for {G}aussian processes with
stationary increments under {H}\"{o}lder norms},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {8},
year = {1995},
number = {2},
pages = {361--386},
issn = {0894-9840},
mrclass = {60G15 (60F05 60F15)},
mrnumber = {1325856},
mrreviewer = {Karl Grill},
doi = {10.1007/BF02212884},
url = {https://doi.org/10.1007/BF02212884}
}
@Article{ kuelbs.li:02:functional,
author = {Kuelbs, J. and Li, Wenbo V.},
title = {A functional {LIL} and some weighted occupation measure
results for fractional {B}rownian motion},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {15},
year = {2002},
number = {4},
pages = {1007--1030},
issn = {0894-9840,1572-9230},
mrclass = {60J65 (60F17)},
mrnumber = {1937783},
mrreviewer = {Endre\ Cs\'{a}ki},
doi = {10.1023/A:1020696922183},
url = {https://doi.org/10.1023/A:1020696922183}
}
@Article{ kuelbs.li:93:metric,
author = {Kuelbs, James and Li, Wenbo V.},
title = {Metric entropy and the small ball problem for {G}aussian
measures},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {116},
year = {1993},
number = {1},
pages = {133--157},
issn = {0022-1236},
mrclass = {60G15 (46E30 46E35 46N30 47B06)},
mrnumber = {1237989},
mrreviewer = {Werner Linde},
doi = {10.1006/jfan.1993.1107},
url = {https://doi.org/10.1006/jfan.1993.1107}
}
@Article{ kuelbs.li:93:small,
author = {Kuelbs, James and Li, Wenbo V.},
title = {Small ball estimates for {B}rownian motion and the
{B}rownian sheet},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {6},
year = {1993},
number = {3},
pages = {547--577},
issn = {0894-9840},
mrclass = {60J65 (60F15 60G15)},
mrnumber = {1230346},
mrreviewer = {Qi Man Shao},
doi = {10.1007/BF01066717},
url = {https://doi.org/10.1007/BF01066717}
}
@InCollection{ kuijlaars:11:universality,
author = {Kuijlaars, A. B. J.},
title = {Universality},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {103--134},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60B20},
mrnumber = {2932626},
mrreviewer = {Florent Benaych-Georges}
}
@Article{ kuiper.dung:07:global,
author = {Kuiper, Hendrik and Dung, Le},
title = {Global attractors for cross diffusion systems on domains
of arbitrary dimension},
journal = {Rocky Mountain J. Math.},
fjournal = {The Rocky Mountain Journal of Mathematics},
volume = {37},
year = {2007},
number = {5},
pages = {1645--1668},
issn = {0035-7596},
mrclass = {37L30 (35B41 35K50 35K55 92D40)},
mrnumber = {2382906},
mrreviewer = {Jan W. Cholewa},
doi = {10.1216/rmjm/1194275939},
url = {https://doi.org/10.1216/rmjm/1194275939}
}
@Article{ kuiper:01:priori,
author = {Kuiper, Hendrik J.},
title = {A priori bounds and global existence for a strongly
coupled quasilinear parabolic system modeling chemotaxis},
journal = {Electron. J. Differential Equations},
fjournal = {Electronic Journal of Differential Equations},
year = {2001},
pages = {No. 52, 18},
mrclass = {35K55 (35B45 35Q80 92C17)},
mrnumber = {1846668}
}
@Book{ kuksin.shirikyan:12:mathematics,
author = {Kuksin, Sergei and Shirikyan, Armen},
title = {Mathematics of two-dimensional turbulence},
series = {Cambridge Tracts in Mathematics},
volume = {194},
publisher = {Cambridge University Press, Cambridge},
year = {2012},
pages = {xvi+320},
isbn = {978-1-107-02282-9},
mrclass = {76-02 (37L55 60H30 76F02 76M35)},
mrnumber = {3443633},
mrreviewer = {Piotr Biler},
doi = {10.1017/CBO9781139137119},
url = {https://doi.org/10.1017/CBO9781139137119}
}
@Article{ kulik.peszat.ea:23:gradient,
author = {Kulik, Alexei M. and Peszat, Szymon and Priola, Enrico},
title = {Gradient formula for transition semigroup corresponding to
stochastic equation driven by a system of independent
{L}\'{e}vy processes},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {30},
year = {2023},
number = {1},
pages = {Paper No. 7, 27},
issn = {1021-9722,1420-9004},
mrclass = {60H10 (60G51 60H07 60J76)},
mrnumber = {4505173},
mrreviewer = {Kai\ He},
doi = {10.1007/s00030-022-00810-2},
url = {https://doi.org/10.1007/s00030-022-00810-2}
}
@Article{ kulik.scheutzow:20:well-posedness,
author = {Kulik, Alexei and Scheutzow, Michael},
title = {Well-posedness, stability and sensitivities for stochastic
delay equations: a generalized coupling approach},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {6},
pages = {3041--3076},
issn = {0091-1798},
mrclass = {34K50 (34K27 60H25 60J25)},
mrnumber = {4164460},
mrreviewer = {Anatoly V. Swishchuk},
doi = {10.1214/20-AOP1449},
url = {https://doi.org/10.1214/20-AOP1449}
}
@Article{ kulkarni.zeitouni:91:can,
author = {Kulkarni, Sanjeev R. and Zeitouni, Ofer},
title = {Can one decide the type of the mean from the empirical
measure?},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {12},
year = {1991},
number = {4},
pages = {323--327},
issn = {0167-7152,1879-2103},
mrclass = {62F10 (62G05)},
mrnumber = {1131058},
mrreviewer = {G.\ Roussas},
doi = {10.1016/0167-7152(91)90100-6},
url = {https://doi.org/10.1016/0167-7152(91)90100-6}
}
@Article{ kulkarni.zeitouni:95:general,
author = {Kulkarni, Sanjeev R. and Zeitouni, Ofer},
title = {A general classification rule for probability measures},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {23},
year = {1995},
number = {4},
pages = {1393--1407},
issn = {0090-5364,2168-8966},
mrclass = {62F03 (62G10 62G20)},
mrnumber = {1353511},
mrreviewer = {M.\ Hu\v{s}kov\'{a}},
doi = {10.1214/aos/1176324714},
url = {https://doi.org/10.1214/aos/1176324714}
}
@Article{ kumagai.zeitouni:13:fluctuations,
author = {Kumagai, Takashi and Zeitouni, Ofer},
title = {Fluctuations of maxima of discrete {G}aussian free fields
on a class of recurrent graphs},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {18},
year = {2013},
pages = {no. 75, 12},
issn = {1083-589X},
mrclass = {60G15 (28A80)},
mrnumber = {3109630},
mrreviewer = {Yimin\ Xiao},
doi = {10.1214/ECP.v18-2632},
url = {https://doi.org/10.1214/ECP.v18-2632}
}
@Book{ kumagai:14:random,
author = {Kumagai, Takashi},
title = {Random walks on disordered media and their scaling
limits},
series = {Lecture Notes in Mathematics},
volume = {2101},
note = {Lecture notes from the 40th Probability Summer School held
in Saint-Flour, 2010, \'{E}cole d'\'{E}t\'{e} de
Probabilit\'{e}s de Saint-Flour. [Saint-Flour Probability
Summer School]},
publisher = {Springer, Cham},
year = {2014},
pages = {x+147},
isbn = {978-3-319-03151-4; 978-3-319-03152-1},
mrclass = {60G50 (05C81 31C20 35K08 60K35 82B41)},
mrnumber = {3156983},
mrreviewer = {Francis Comets},
doi = {10.1007/978-3-319-03152-1},
url = {https://doi.org/10.1007/978-3-319-03152-1}
}
@Article{ kumar.kumar.ea:17:new,
author = {Kumar, Sunil and Kumar, Amit and Argyros, Ioannis K.},
title = {A new analysis for the {K}eller-{S}egel model of
fractional order},
journal = {Numer. Algorithms},
fjournal = {Numerical Algorithms},
volume = {75},
year = {2017},
number = {1},
pages = {213--228},
issn = {1017-1398},
mrclass = {65M99 (65M12)},
mrnumber = {3636010},
doi = {10.1007/s11075-016-0202-z},
url = {https://doi.org/10.1007/s11075-016-0202-z}
}
@Article{ kumar.nane.ea:11:time-changed,
author = {Kumar, A. and Nane, Erkan and Vellaisamy, P.},
title = {Time-changed {P}oisson processes},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {81},
year = {2011},
number = {12},
pages = {1899--1910},
issn = {0167-7152},
mrclass = {60G55 (60G22 60K99)},
mrnumber = {2845907},
mrreviewer = {Takaaki Shimura},
doi = {10.1016/j.spl.2011.08.002},
url = {https://doi.org/10.1016/j.spl.2011.08.002}
}
@Article{ kumar.nane:18:on,
author = {Kumar, Arun and Nane, Erkan},
title = {On the infinite divisibility of distributions of some
inverse subordinators},
journal = {Mod. Stoch. Theory Appl.},
fjournal = {Modern Stochastics. Theory and Applications},
volume = {5},
year = {2018},
number = {4},
pages = {509--519},
issn = {2351-6046},
mrclass = {60E07 (60G22)},
mrnumber = {3914729},
doi = {10.15559/18-vmsta108},
url = {https://doi.org/10.15559/18-vmsta108}
}
@Article{ kunick.tsatsoulis:25:gradient-type,
author = {Kunick, Florian and Tsatsoulis, Pavlos},
title = {Gradient-type estimates for the dynamic {$\varphi
_2^4$}-model},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {181},
year = {2025},
pages = {Paper No. 104548, 21},
issn = {0304-4149},
mrclass = {60H17 (47D07)},
mrnumber = {4843971},
doi = {10.1016/j.spa.2024.104548},
url = {https://doi.org/10.1016/j.spa.2024.104548}
}
@Article{ kunita.watanabe:67:on,
author = {Kunita, Hiroshi and Watanabe, Shinzo},
title = {On square integrable martingales},
journal = {Nagoya Math. J.},
fjournal = {Nagoya Mathematical Journal},
volume = {30},
year = {1967},
pages = {209--245},
issn = {0027-7630},
mrclass = {60.40},
mrnumber = {217856},
mrreviewer = {F. B. Knight},
url = {http://projecteuclid.org/euclid.nmj/1118796812}
}
@Book{ kunita:19:stochastic,
author = {Kunita, Hiroshi},
title = {Stochastic flows and jump-diffusions},
series = {Probability Theory and Stochastic Modelling},
volume = {92},
publisher = {Springer, Singapore},
year = {2019},
pages = {xvii+352},
isbn = {978-981-13-3800-7; 978-981-13-3801-4},
mrclass = {60-02 (35K08 35K10 35R60 58J65 60H05 60H07 60H30)},
mrnumber = {3929750},
mrreviewer = {G. V. Riabov},
doi = {10.1007/978-981-13-3801-4},
url = {https://doi.org/10.1007/978-981-13-3801-4}
}
@Article{ kunita:81:on,
author = {Kunita, Hiroshi},
title = {On backward stochastic differential equations},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {6},
year = {1981/82},
number = {3-4},
pages = {293--313},
issn = {0090-9491},
mrclass = {60H10},
mrnumber = {665405},
mrreviewer = {Jean-Michel Bismut},
doi = {10.1080/17442508208833209},
url = {https://doi.org/10.1080/17442508208833209}
}
@Book{ kunita:90:stochastic,
author = {Kunita, Hiroshi},
title = {Stochastic flows and stochastic differential equations},
series = {Cambridge Studies in Advanced Mathematics},
volume = {24},
publisher = {Cambridge University Press, Cambridge},
year = {1990},
pages = {xiv+346},
isbn = {0-521-35050-6},
mrclass = {60H10 (35R60 60H15)},
mrnumber = {1070361},
mrreviewer = {Yves Le Jan}
}
@Book{ kunita:97:stochastic,
author = {Kunita, Hiroshi},
title = {Stochastic flows and stochastic differential equations},
series = {Cambridge Studies in Advanced Mathematics},
volume = {24},
note = {Reprint of the 1990 original},
publisher = {Cambridge University Press, Cambridge},
year = {1997},
pages = {xiv+346},
isbn = {0-521-35050-6; 0-521-59925-3},
mrclass = {60H10 (35R60 60H15)},
mrnumber = {1472487}
}
@InCollection{ kunstmann.weis:04:maximal,
author = {Kunstmann, Peer C. and Weis, Lutz},
title = {Maximal {$L_p$}-regularity for parabolic equations,
{F}ourier multiplier theorems and {$H^infty$}-functional
calculus},
booktitle = {Functional analytic methods for evolution equations},
series = {Lecture Notes in Math.},
volume = {1855},
pages = {65--311},
publisher = {Springer, Berlin},
year = {2004},
mrclass = {47D06 (34G10 35D10 35J55 35K20 35K90 42B20 47A60)},
mrnumber = {2108959},
mrreviewer = {Xuan Thinh Duong},
doi = {10.1007/978-3-540-44653-8\_2},
url = {https://doi.org/10.1007/978-3-540-44653-8_2}
}
@Article{ kunz.souillard:80:sur,
author = {Kunz, Herv\'{e} and Souillard, Bernard},
title = {Sur le spectre des op\'{e}rateurs aux diff\'{e}rences
finies al\'{e}atoires},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {78},
year = {1980/81},
number = {2},
pages = {201--246},
issn = {0010-3616},
mrclass = {39A12 (60H25 82A05)},
mrnumber = {597748},
url = {http://projecteuclid.org/euclid.cmp/1103908590}
}
@Article{ kuo.liu.ea:13:free,
author = {Kuo, Hung-Wen and Liu, Tai-Ping and Tsai, Li-Cheng},
title = {Free molecular flow with boundary effect},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {318},
year = {2013},
number = {2},
pages = {375--409},
issn = {0010-3616},
mrclass = {82C40 (35F10)},
mrnumber = {3020162},
doi = {10.1007/s00220-013-1662-9},
url = {https://doi.org/10.1007/s00220-013-1662-9}
}
@Article{ kuo.liu.ea:14:equilibrating,
author = {Kuo, Hung-Wen and Liu, Tai-Ping and Tsai, Li-Cheng},
title = {Equilibrating effects of boundary and collision in
rarefied gases},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {328},
year = {2014},
number = {2},
pages = {421--480},
issn = {0010-3616},
mrclass = {76P05},
mrnumber = {3199988},
mrreviewer = {Silvia Caprino},
doi = {10.1007/s00220-014-2042-9},
url = {https://doi.org/10.1007/s00220-014-2042-9}
}
@Book{ kuo:06:introduction,
author = {Kuo, Hui-Hsiung},
title = {Introduction to stochastic integration},
series = {Universitext},
publisher = {Springer, New York},
year = {2006},
pages = {xiv+278},
isbn = {978-0387-28720-1; 0-387-28720-5},
mrclass = {60-01 (60H05 60H10 60H30)},
mrnumber = {2180429},
mrreviewer = {Jorge A. Le\'{o}n}
}
@Book{ kuo:75:gaussian,
author = {Kuo, Hui Hsiung},
title = {Gaussian measures in {B}anach spaces},
series = {Lecture Notes in Mathematics, Vol. 463},
publisher = {Springer-Verlag, Berlin-New York},
year = {1975},
pages = {vi+224},
mrclass = {60G15 (28A40 60B05)},
mrnumber = {0461643},
mrreviewer = {Albert Tortrat}
}
@Article{ kupiainen.marcozzi:17:renormalization,
author = {Kupiainen, Antti and Marcozzi, Matteo},
title = {Renormalization of generalized {KPZ} equation},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {166},
year = {2017},
number = {3-4},
pages = {876--902},
issn = {0022-4715},
mrclass = {82C28},
mrnumber = {3607594},
doi = {10.1007/s10955-016-1636-3},
url = {https://doi.org/10.1007/s10955-016-1636-3}
}
@Article{ kupiainen.rhodes.ea:18:dozz,
author = {Kupiainen, Antti and Rhodes, R\'emi and Vargas, Vincent},
title = {The {DOZZ} formula from the path integral},
journal = {J. High Energy Phys.},
fjournal = {Journal of High Energy Physics},
year = {2018},
number = {5},
pages = {094, front matter+23},
issn = {1126-6708,1029-8479},
mrclass = {81T40 (83C47)},
mrnumber = {3832670},
mrreviewer = {Lance\ W.\ Nielsen},
doi = {10.1007/jhep05(2018)094},
url = {https://doi.org/10.1007/jhep05(2018)094}
}
@Article{ kupiainen.rhodes.ea:19:local,
author = {Kupiainen, Antti and Rhodes, R\'emi and Vargas, Vincent},
title = {Local conformal structure of {L}iouville quantum gravity},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {371},
year = {2019},
number = {3},
pages = {1005--1069},
issn = {0010-3616,1432-0916},
mrclass = {81T40 (81T20)},
mrnumber = {4029827},
mrreviewer = {Nizar\ Demni},
doi = {10.1007/s00220-018-3260-3},
url = {https://doi.org/10.1007/s00220-018-3260-3}
}
@Article{ kupiainen.rhodes.ea:20:integrability,
author = {Kupiainen, Antti and Rhodes, R\'emi and Vargas, Vincent},
title = {Integrability of {L}iouville theory: proof of the {DOZZ}
formula},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {191},
year = {2020},
number = {1},
pages = {81--166},
issn = {0003-486X,1939-8980},
mrclass = {81T40 (60D99)},
mrnumber = {4060417},
mrreviewer = {Nizar\ Demni},
doi = {10.4007/annals.2020.191.1.2},
url = {https://doi.org/10.4007/annals.2020.191.1.2}
}
@Article{ kupiainen:16:renormalization,
author = {Kupiainen, Antti},
title = {Renormalization group and stochastic {PDE}s},
journal = {Ann. Henri Poincar\'{e}},
fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and
Mathematical Physics},
volume = {17},
year = {2016},
number = {3},
pages = {497--535},
issn = {1424-0637},
mrclass = {35R60 (35A30 35K91 81T17)},
mrnumber = {3459120},
mrreviewer = {Le Chen},
doi = {10.1007/s00023-015-0408-y},
url = {https://doi.org/10.1007/s00023-015-0408-y}
}
@Article{ kurt.shen.ea:24:stability,
title = {Stability, bifurcation and spikes of stationary solutions
in a chemotaxis system with singular sensitivity and
logistic source},
author = {Halil Ibrahim Kurt and Wenxian Shen and Shuwen Xue},
year = {2024},
month = {March},
journal = {Preprint arXiv:2403.14907},
url = {http://arXiv.org/abs/2403.14907}
}
@Article{ kurt.shen:20:finite-time,
title = {Finite-time blow-up prevention by logistic source in
parabolic-elliptic chemotaxis models with singular
sensitivity in any dimensional setting},
author = {Halil Ibrahim Kurt and Wenxian Shen},
year = {2020},
month = {August},
journal = {Preprint arXiv:2008.01887},
url = {http://arXiv.org/abs/2008.01887}
}
@Article{ kurt.shen:22:chemotaxis,
title = {Chemotaxis systems with singular sensitivity and logistic
source: Boundedness, persistence, absorbing set, and entire
solutions},
author = {Halil Ibrahim Kurt and Wenxian Shen},
year = {2022},
month = {April},
journal = {Preprint arXiv:2205.00096},
url = {http://arXiv.org/abs/2205.00096}
}
@Article{ kurt.shen:23:chemotaxis,
author = {Kurt, Halil Ibrahim and Shen, Wenxian},
title = {Chemotaxis systems with singular sensitivity and logistic
source: boundedness, persistence, absorbing set, and entire
solutions},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {69},
year = {2023},
pages = {Paper No. 103762, 27},
issn = {1468-1218,1878-5719},
mrclass = {35Q92},
mrnumber = {4489287},
doi = {10.1016/j.nonrwa.2022.103762},
url = {https://doi.org/10.1016/j.nonrwa.2022.103762}
}
@Article{ kurt.shen:23:two-species,
author = {Kurt, Halil Ibrahim and Shen, Wenxian},
title = {Two-species chemotaxis-competition system with singular
sensitivity: global existence, boundedness, and
persistence},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {355},
year = {2023},
pages = {248--295},
issn = {0022-0396,1090-2732},
mrclass = {35K51 (35K57 35M33 35Q92 92C17 92D25)},
mrnumber = {4544077},
doi = {10.1016/j.jde.2023.01.029},
url = {https://doi.org/10.1016/j.jde.2023.01.029}
}
@Article{ kurt.shen:24:stabilization,
author = {Kurt, Halil ibrahim and Shen, Wenxian},
title = {Stabilization in two-species chemotaxis systems with
singular sensitivity and {L}otka-{V}olterra competitive
kinetics},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {44},
year = {2024},
number = {4},
pages = {882--904},
issn = {1078-0947,1553-5231},
mrclass = {35K51 (35K57 35M33 35Q92 92C17 92D25)},
mrnumber = {4696144},
doi = {10.3934/dcds.2023130},
url = {https://doi.org/10.3934/dcds.2023130}
}
@Article{ kurt:25:boundedness,
author = {Kurt, Halil Ibrahim},
title = {Boundedness in a chemotaxis system with weak singular
sensitivity and logistic kinetics in any dimensional
setting},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {416},
year = {2025},
number = {part 2},
pages = {1429--1461},
issn = {0022-0396},
mrclass = {35B45 (35B44 35K55 35M32 35Q92 92C17)},
mrnumber = {4816538},
doi = {10.1016/j.jde.2024.10.027},
url = {https://doi.org/10.1016/j.jde.2024.10.027}
}
@InCollection{ kurtz.protter:96:weak,
author = {Kurtz, Thomas G. and Protter, Philip E.},
title = {Weak convergence of stochastic integrals and differential
equations. {II}. {I}nfinite-dimensional case},
booktitle = {Probabilistic models for nonlinear partial differential
equations ({M}ontecatini {T}erme, 1995)},
series = {Lecture Notes in Math.},
volume = {1627},
pages = {197--285},
publisher = {Springer, Berlin},
year = {1996},
mrclass = {60H05 (60B12 60G57)},
mrnumber = {1431303},
mrreviewer = {Leszek S\l omi\'{n}ski},
doi = {10.1007/BFb0093181},
url = {https://doi.org/10.1007/BFb0093181}
}
@Article{ kurtz.xiong:99:particle,
author = {Kurtz, Thomas G. and Xiong, Jie},
title = {Particle representations for a class of nonlinear
{SPDE}s},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {83},
year = {1999},
number = {1},
pages = {103--126},
issn = {0304-4149},
mrclass = {60H15 (35R60 60K35)},
mrnumber = {1705602},
mrreviewer = {Sylvie M\'{e}l\'{e}ard},
doi = {10.1016/S0304-4149(99)00024-1},
url = {https://doi.org/10.1016/S0304-4149(99)00024-1}
}
@Article{ kurtz:07:yamada-watanabe-engelbert,
author = {Kurtz, Thomas G.},
title = {The {Y}amada-{W}atanabe-{E}ngelbert theorem for general
stochastic equations and inequalities},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {12},
year = {2007},
pages = {951--965},
issn = {1083-6489},
mrclass = {60H99 (60H10 60H15 60H20 60H25)},
mrnumber = {2336594},
mrreviewer = {Rainer Buckdahn},
doi = {10.1214/EJP.v12-431},
url = {https://doi.org/10.1214/EJP.v12-431}
}
@InCollection{ kurtz:11:equivalence,
author = {Kurtz, Thomas G.},
title = {Equivalence of stochastic equations and martingale
problems},
booktitle = {Stochastic analysis 2010},
pages = {113--130},
publisher = {Springer, Heidelberg},
year = {2011},
mrclass = {60J25 (60H10 60J35)},
mrnumber = {2789081},
mrreviewer = {Ramon van Handel},
doi = {10.1007/978-3-642-15358-7\_6},
url = {https://doi.org/10.1007/978-3-642-15358-7_6}
}
@Article{ kurtz:77:strong,
author = {Kurtz, Thomas G.},
title = {Strong approximation theorems for density dependent
{M}arkov chains},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {6},
year = {1977/78},
number = {3},
pages = {223--240},
issn = {0304-4149},
mrclass = {60J70 (92A15)},
mrnumber = {464414},
mrreviewer = {Andrew D. Barbour},
doi = {10.1016/0304-4149(78)90020-0},
url = {https://doi.org/10.1016/0304-4149(78)90020-0}
}
@Book{ kurtz:81:approximation,
author = {Kurtz, Thomas G.},
title = {Approximation of population processes},
series = {CBMS-NSF Regional Conference Series in Applied
Mathematics},
volume = {36},
publisher = {Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, Pa.},
year = {1981},
pages = {vii+75},
isbn = {0-89871-169-X},
mrclass = {60J80 (60B10 60F17 60Jxx 92A15)},
mrnumber = {610982},
mrreviewer = {Andrew D. Barbour}
}
@Article{ kusuoka.stroock:87:applications,
author = {Kusuoka, S. and Stroock, D.},
title = {Applications of the {M}alliavin calculus. {III}},
journal = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.},
fjournal = {Journal of the Faculty of Science. University of Tokyo.
Section IA. Mathematics},
volume = {34},
year = {1987},
number = {2},
pages = {391--442},
issn = {0040-8980},
mrclass = {60J60 (58G32 60H10)},
mrnumber = {914028},
mrreviewer = {Michael Cranston}
}
@Article{ kusuoka.tudor:12:steins,
author = {Kusuoka, Seiichiro and Tudor, Ciprian A.},
title = {Stein's method for invariant measures of diffusions via
{M}alliavin calculus},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {4},
pages = {1627--1651},
issn = {0304-4149,1879-209X},
mrclass = {60F05 (60H05 60H07 91G80)},
mrnumber = {2914766},
mrreviewer = {Mark\ Podolskij},
doi = {10.1016/j.spa.2012.02.005},
url = {https://doi.org/10.1016/j.spa.2012.02.005}
}
@Article{ kuto.osaki.ea:12:spatial,
author = {Kuto, Kousuke and Osaki, Koichi and Sakurai, Tatsunari and
Tsujikawa, Tohru},
title = {Spatial pattern formation in a chemotaxis-diffusion-growth
model},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {241},
year = {2012},
number = {19},
pages = {1629--1639},
issn = {0167-2789},
mrclass = {82C05},
mrnumber = {2965808},
doi = {10.1016/j.physd.2012.06.009},
url = {https://doi.org/10.1016/j.physd.2012.06.009}
}
@Article{ kuzgun.nualart:19:rate,
author = {Kuzgun, Sefika and Nualart, David},
title = {Rate of convergence in the {B}reuer-{M}ajor theorem via
chaos expansions},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {37},
year = {2019},
number = {6},
pages = {1057--1091},
issn = {0736-2994},
mrclass = {60H15 (60F05 60G15 60H07)},
mrnumber = {4020062},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1080/07362994.2019.1640613},
url = {https://doi.org/10.1080/07362994.2019.1640613}
}
@Article{ kuzgun.tao:24:time-dependent,
title = {Time-dependent averages of a critical long-range
stochastic heat equation},
author = {Sefika Kuzgun and Ran Tao},
year = {2024},
month = {November},
journal = {Preprint arXiv:2411.09058},
url = {http://arXiv.org/abs/2411.09058}
}
@Book{ kwapien.woyczynski:92:random,
author = {Kwapie\'{n}, Stanis\l aw and Woyczy\'{n}ski, Wojbor A.},
title = {Random series and stochastic integrals: single and
multiple},
series = {Probability and its Applications},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {1992},
pages = {xvi+360},
isbn = {0-8176-3572-6},
mrclass = {60G48 (60B11 60E15 60G42 60G50 60G57 60H05)},
mrnumber = {1167198},
mrreviewer = {Jerzy Szulga},
doi = {10.1007/978-1-4612-0425-1},
url = {https://doi.org/10.1007/978-1-4612-0425-1}
}
@Article{ kwon.hopkins.ea:96:dynamic,
title = {Dynamic scaling behavior of a growing self-affine fractal
interface in a paper-towel-wetting experiment},
author = {Kwon, T. H. and Hopkins, A. E. and O'Donnell, S. E.},
journal = {Phys. Rev. E},
volume = {54},
issue = {1},
pages = {685--690},
numpages = {0},
year = {1996},
month = {Jul},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.54.685},
url = {https://link.aps.org/doi/10.1103/PhysRevE.54.685}
}
@Article{ kyprianou:98:slow,
author = {Kyprianou, A. E.},
title = {Slow variation and uniqueness of solutions to the
functional equation in the branching random walk},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {35},
year = {1998},
number = {4},
pages = {795--801},
issn = {0021-9002},
mrclass = {60J80},
mrnumber = {1671230},
mrreviewer = {D. R. Grey},
doi = {10.1239/jap/1032438375},
url = {https://doi.org/10.1239/jap/1032438375}
}
@Book{ kythe:19:handbook,
author = {Kythe, Prem K.},
title = {Handbook of conformal mappings and applications},
publisher = {CRC Press, Boca Raton, FL},
year = {2019},
pages = {xxxv+906},
isbn = {978-1-138-74847-7},
mrclass = {30-00 (30C20 30C35)},
mrnumber = {3889989}
}
@Article{ l-vov.podivilov.ea:98:improved,
author = {L{\cprime}vov, Victor S. and Podivilov, Evgenii and
Pomyalov, Anna and Procaccia, Itamar and Vandembroucq,
Damien},
title = {Improved shell model of turbulence},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {58},
year = {1998},
number = {2, part A},
pages = {1811--1822},
issn = {1539-3755},
mrclass = {76F99},
mrnumber = {1637121},
doi = {10.1103/PhysRevE.58.1811},
url = {https://doi.org/10.1103/PhysRevE.58.1811}
}
@Article{ labbe.lacoin:19:cutoff,
author = {Labb\'{e}, Cyril and Lacoin, Hubert},
title = {Cutoff phenomenon for the asymmetric simple exclusion
process and the biased card shuffling},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {3},
pages = {1541--1586},
issn = {0091-1798},
mrclass = {60J27 (37A25 82C22)},
mrnumber = {3945753},
mrreviewer = {Leonid Petrov},
doi = {10.1214/18-AOP1290},
url = {https://doi.org/10.1214/18-AOP1290}
}
@Article{ labbe.lacoin:20:mixing,
author = {Labb\'{e}, Cyril and Lacoin, Hubert},
title = {Mixing time and cutoff for the weakly asymmetric simple
exclusion process},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {30},
year = {2020},
number = {4},
pages = {1847--1883},
issn = {1050-5164},
mrclass = {60J27 (37A60 82C22)},
mrnumber = {4132639},
doi = {10.1214/19-AAP1545},
url = {https://doi.org/10.1214/19-AAP1545}
}
@Article{ labbe:13:quasi-stationary,
author = {Labb\'{e}, Cyril},
title = {Quasi-stationary distributions associated with explosive
{CSBP}},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {18},
year = {2013},
pages = {no. 57, 13},
mrclass = {60J80 (60F05)},
mrnumber = {3084568},
doi = {10.1214/ECP.v18-2508},
url = {https://doi.org/10.1214/ECP.v18-2508}
}
@Article{ labbe:14:from,
author = {Labb\'{e}, Cyril},
title = {From flows of {$\Lambda$}-{F}leming-{V}iot processes to
lookdown processes via flows of partitions},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
pages = {no. 55, 49},
mrclass = {60J25 (60G09 92D25)},
mrnumber = {3227064},
mrreviewer = {Shuhei Mano},
doi = {10.1214/EJP.v19-3192},
url = {https://doi.org/10.1214/EJP.v19-3192}
}
@Article{ labbe:14:genealogy,
author = {Labb\'{e}, Cyril},
title = {Genealogy of flows of continuous-state branching processes
via flows of partitions and the {E}ve property},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {50},
year = {2014},
number = {3},
pages = {732--769},
issn = {0246-0203},
mrclass = {60J80 (60G09 60J25)},
mrnumber = {3224288},
doi = {10.1214/13-AIHP542},
url = {https://doi.org/10.1214/13-AIHP542}
}
@Article{ labbe:17:weakly,
author = {Labb\'{e}, Cyril},
title = {Weakly asymmetric bridges and the {KPZ} equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {353},
year = {2017},
number = {3},
pages = {1261--1298},
issn = {0010-3616},
mrclass = {60K35 (60H15 82C24)},
mrnumber = {3652491},
doi = {10.1007/s00220-017-2875-0},
url = {https://doi.org/10.1007/s00220-017-2875-0}
}
@Article{ labbe:18:on,
author = {Labb\'{e}, Cyril},
title = {On the scaling limits of weakly asymmetric bridges},
journal = {Probab. Surv.},
fjournal = {Probability Surveys},
volume = {15},
year = {2018},
pages = {156--242},
mrclass = {60K35 (60H15 82C24)},
mrnumber = {3856167},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves},
doi = {10.1214/17-PS285},
url = {https://doi.org/10.1214/17-PS285}
}
@Article{ labbe:19:continuous,
author = {Labb\'{e}, Cyril},
title = {The continuous {A}nderson {H}amiltonian in {$d\leq 3$}},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {277},
year = {2019},
number = {9},
pages = {3187--3235},
issn = {0022-1236},
mrclass = {35J10 (47A10 60H15)},
mrnumber = {3997634},
mrreviewer = {Shijun Zheng},
doi = {10.1016/j.jfa.2019.05.027},
url = {https://doi.org/10.1016/j.jfa.2019.05.027}
}
@Article{ lacaux.muller-gueudin.ea:14:convergence,
author = {Lacaux, C\'{e}line and Muller-Gueudin, Aur\'{e}lie and
Ranta, Radu and Tindel, Samy},
title = {Convergence and performance of the peeling wavelet
denoising algorithm},
journal = {Metrika},
fjournal = {Metrika. International Journal for Theoretical and Applied
Statistics},
volume = {77},
year = {2014},
number = {4},
pages = {509--537},
issn = {0026-1335},
mrclass = {62G05 (62G20 65T60)},
mrnumber = {3192043},
mrreviewer = {Jean-Michel Poggi},
doi = {10.1007/s00184-013-0451-y},
url = {https://doi.org/10.1007/s00184-013-0451-y}
}
@Article{ lacey.philipp:90:note,
author = {Lacey, Michael T. and Philipp, Walter},
title = {A note on the almost sure central limit theorem},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {9},
year = {1990},
number = {3},
pages = {201--205},
issn = {0167-7152},
mrclass = {60F15 (60F05)},
mrnumber = {1045184},
mrreviewer = {Peter Schatte},
doi = {10.1016/0167-7152(90)90056-D},
url = {https://doi.org/10.1016/0167-7152(90)90056-D}
}
@Article{ lacey.tzanetis:88:complete,
author = {Lacey, A. A. and Tzanetis, D.},
title = {Complete blow-up for a semilinear diffusion equation with
a sufficiently large initial condition},
journal = {IMA J. Appl. Math.},
fjournal = {IMA Journal of Applied Mathematics},
volume = {41},
year = {1988},
number = {3},
pages = {207--215},
issn = {0272-4960},
mrclass = {35B40 (35K55 92A08)},
mrnumber = {984007},
mrreviewer = {Victor A. Galaktionov},
doi = {10.1093/imamat/41.3.207},
url = {https://doi.org/10.1093/imamat/41.3.207}
}
@Article{ lacey.tzanetis:93:global,
author = {Lacey, A. A. and Tzanetis, D. E.},
title = {Global, unbounded solutions to a parabolic equation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {101},
year = {1993},
number = {1},
pages = {80--102},
issn = {0022-0396},
mrclass = {35K55 (35B40 35B60)},
mrnumber = {1199484},
mrreviewer = {Victor A. Galaktionov},
doi = {10.1006/jdeq.1993.1006},
url = {https://doi.org/10.1006/jdeq.1993.1006}
}
@Article{ lacey:90:large,
author = {Lacey, Michael},
title = {Large deviations for the maximum local time of stable
{L}\'{e}vy processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {18},
year = {1990},
number = {4},
pages = {1669--1675},
issn = {0091-1798},
mrclass = {60J55 (60E15 60G17 60J30)},
mrnumber = {1071817},
mrreviewer = {Endre Cs\'{a}ki},
url = {http://links.jstor.org/sici?sici=0091-1798(199010)18:4<1669:LDFTML>2.0.CO;2-Q&origin=MSN}
}
@Article{ lachal:03:distributions,
author = {Lachal, Aim\'{e}},
title = {Distributions of sojourn time, maximum and minimum for
pseudo-processes governed by higher-order heat-type
equations},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {8},
year = {2003},
pages = {no. 20, 53},
issn = {1083-6489},
mrclass = {60G20 (60J25)},
mrnumber = {2041821},
mrreviewer = {Youngmee Kwon},
doi = {10.1214/EJP.v8-178},
url = {https://doi.org/10.1214/EJP.v8-178}
}
@Article{ lacker:18:liquidity,
author = {Lacker, Daniel},
title = {Liquidity, risk measures, and concentration of measure},
journal = {Math. Oper. Res.},
fjournal = {Mathematics of Operations Research},
volume = {43},
year = {2018},
number = {3},
pages = {813--837},
issn = {0364-765X},
mrclass = {91B30 (60E15)},
mrnumber = {3846074},
mrreviewer = {Giovanni Puccetti},
doi = {10.1287/moor.2017.0885},
url = {https://doi.org/10.1287/moor.2017.0885}
}
@Article{ lacoin.leblond:11:cutoff,
author = {Lacoin, Hubert and Leblond, R\'emi},
title = {Cutoff phenomenon for the simple exclusion process on the
complete graph},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {8},
year = {2011},
pages = {285--301},
issn = {1980-0436},
mrclass = {60K35 (60B10)},
mrnumber = {2869447},
mrreviewer = {Zhong\ Gen\ Su}
}
@Article{ lacoin.moreno:10:directed,
author = {Lacoin, Hubert and Moreno, Gregorio},
title = {Directed polymers on hierarchical lattices with site
disorder},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {120},
year = {2010},
number = {4},
pages = {467--493},
issn = {0304-4149,1879-209X},
mrclass = {60K35 (37N20 82B28 82B44 82D60)},
mrnumber = {2594367},
mrreviewer = {N.\ N.\ Ganikhodjaev},
doi = {10.1016/j.spa.2009.11.008},
url = {https://doi.org/10.1016/j.spa.2009.11.008}
}
@InCollection{ lacoin.morters:12:scaling,
author = {Lacoin, Hubert and M\"orters, Peter},
title = {A scaling limit theorem for the parabolic {A}nderson model
with exponential potential},
booktitle = {Probability in complex physical systems},
series = {Springer Proc. Math.},
volume = {11},
pages = {247--272},
publisher = {Springer, Heidelberg},
year = {2012},
isbn = {978-3-642-23811-6; 978-3-642-23810-9},
mrclass = {60H25 (60F05 60F10 60F15 82C44)},
mrnumber = {3372851},
mrreviewer = {Achim\ Klenke},
doi = {10.1007/978-3-642-23811-6\_10},
url = {https://doi.org/10.1007/978-3-642-23811-6_10}
}
@Article{ lacoin.rhodes.ea:15:complex,
author = {Lacoin, Hubert and Rhodes, R\'emi and Vargas, Vincent},
title = {Complex {G}aussian multiplicative chaos},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {337},
year = {2015},
number = {2},
pages = {569--632},
issn = {0010-3616,1432-0916},
mrclass = {60G60},
mrnumber = {3339158},
doi = {10.1007/s00220-015-2362-4},
url = {https://doi.org/10.1007/s00220-015-2362-4}
}
@Article{ lacoin.rhodes.ea:17:semiclassical,
author = {Lacoin, Hubert and Rhodes, R\'emi and Vargas, Vincent},
title = {Semiclassical limit of {L}iouville field theory},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {273},
year = {2017},
number = {3},
pages = {875--916},
issn = {0022-1236,1096-0783},
mrclass = {81R12},
mrnumber = {3653942},
mrreviewer = {Dmitry\ Beliaev},
doi = {10.1016/j.jfa.2017.04.012},
url = {https://doi.org/10.1016/j.jfa.2017.04.012}
}
@Article{ lacoin.rhodes.ea:22:path,
author = {Lacoin, Hubert and Rhodes, R\'emi and Vargas, Vincent},
title = {Path integral for quantum {M}abuchi {K}-energy},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {171},
year = {2022},
number = {3},
pages = {483--545},
issn = {0012-7094,1547-7398},
mrclass = {81T40 (60D05 81S40 81T20)},
mrnumber = {4383250},
mrreviewer = {Nizar\ Demni},
doi = {10.1215/00127094-2021-0007},
url = {https://doi.org/10.1215/00127094-2021-0007}
}
@Article{ lacoin.rhodes.ea:22:semiclassical,
author = {Lacoin, Hubert and Rhodes, R\'emi and Vargas, Vincent},
title = {The semiclassical limit of {L}iouville conformal field
theory},
journal = {Ann. Fac. Sci. Toulouse Math. (6)},
fjournal = {Annales de la Facult\'e{} des Sciences de Toulouse.
Math\'ematiques. S\'erie 6},
volume = {31},
year = {2022},
number = {4},
pages = {1031--1083},
issn = {0240-2963,2258-7519},
mrclass = {81T40 (60D05 81Q20)},
mrnumber = {4506137},
doi = {10.5802/afst.1713},
url = {https://doi.org/10.5802/afst.1713}
}
@Article{ lacoin.rhodes.ea:23:probabilistic,
author = {Lacoin, Hubert and Rhodes, R\'emi and Vargas, Vincent},
title = {A probabilistic approach of ultraviolet renormalization in
the boundary sine-{G}ordon model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {185},
year = {2023},
number = {1-2},
pages = {1--40},
issn = {0178-8051,1432-2064},
mrclass = {82D05 (60F99 60H99)},
mrnumber = {4528966},
doi = {10.1007/s00440-022-01174-5},
url = {https://doi.org/10.1007/s00440-022-01174-5}
}
@Article{ lacoin.simenhaus.ea:14:zero-temperature,
author = {Lacoin, Hubert and Simenhaus, Fran\c cois and Toninelli,
Fabio Lucio},
title = {Zero-temperature 2{D} stochastic {I}sing model and
anisotropic curve-shortening flow},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {16},
year = {2014},
number = {12},
pages = {2557--2615},
issn = {1435-9855,1435-9863},
mrclass = {60K35 (82B20)},
mrnumber = {3293804},
mrreviewer = {Peter\ Eichelsbacher},
doi = {10.4171/JEMS/493},
url = {https://doi.org/10.4171/JEMS/493}
}
@Article{ lacoin.simenhaus.ea:15:heat,
author = {Lacoin, Hubert and Simenhaus, Fran\c cois and Toninelli,
Fabio},
title = {The heat equation shrinks {I}sing droplets to points},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {68},
year = {2015},
number = {9},
pages = {1640--1681},
issn = {0010-3640,1097-0312},
mrclass = {82C20 (60K35 82C22)},
mrnumber = {3378196},
mrreviewer = {Aernout\ C. D. van Enter},
doi = {10.1002/cpa.21533},
url = {https://doi.org/10.1002/cpa.21533}
}
@Article{ lacoin.sohier:17:disorder,
author = {Lacoin, Hubert and Sohier, Julien},
title = {Disorder relevance without {H}arris criterion: the case of
pinning model with {$\gamma$}-stable environment},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 50, 26},
issn = {1083-6489},
mrclass = {60K35 (60K37 82B27 82B44)},
mrnumber = {3666013},
doi = {10.1214/17-EJP66},
url = {https://doi.org/10.1214/17-EJP66}
}
@Article{ lacoin.teixeira:15:mathematical,
author = {Lacoin, Hubert and Teixeira, Augusto},
title = {A mathematical perspective on metastable wetting},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {20},
year = {2015},
pages = {no. 17, 23},
issn = {1083-6489},
mrclass = {82C24},
mrnumber = {3317159},
doi = {10.1214/EJP.v20-3241},
url = {https://doi.org/10.1214/EJP.v20-3241}
}
@InCollection{ lacoin.toninelli:09:smoothing,
author = {Lacoin, Hubert and Toninelli, Fabio Lucio},
title = {A smoothing inequality for hierarchical pinning models},
booktitle = {Spin glasses: statics and dynamics},
series = {Progr. Probab.},
volume = {62},
pages = {271--278},
publisher = {Birkh\"auser Verlag, Basel},
year = {2009},
isbn = {978-3-7643-8999-4},
mrclass = {82B20 (82B26 82B44)},
mrnumber = {2761990},
doi = {10.1007/978-3-7643-9891-0\_12},
url = {https://doi.org/10.1007/978-3-7643-9891-0_12}
}
@Article{ lacoin.tykesson:13:on,
author = {Lacoin, Hubert and Tykesson, Johan},
title = {On the easiest way to connect {$k$} points in the random
interlacements process},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {10},
year = {2013},
number = {1},
pages = {505--524},
issn = {1980-0436},
mrclass = {60K35 (60G55)},
mrnumber = {3083935}
}
@Article{ lacoin.yang:22:metastability,
author = {Lacoin, Hubert and Yang, Shangjie},
title = {Metastability for expanding bubbles on a sticky
substrate},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {32},
year = {2022},
number = {5},
pages = {3408--3449},
issn = {1050-5164,2168-8737},
mrclass = {60K35 (82C20 82C24)},
mrnumber = {4497849},
doi = {10.1214/21-aap1763},
url = {https://doi.org/10.1214/21-aap1763}
}
@Article{ lacoin.yang:24:mixing,
author = {Lacoin, Hubert and Yang, Shangjie},
title = {Mixing time for the asymmetric simple exclusion process in
a random environment},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {34},
year = {2024},
number = {1A},
pages = {388--427},
issn = {1050-5164,2168-8737},
mrclass = {60K37 (60J27)},
mrnumber = {4696281},
doi = {10.1214/23-aap1967},
url = {https://doi.org/10.1214/23-aap1967}
}
@Article{ lacoin:10:hierarchical,
author = {Lacoin, Hubert},
title = {Hierarchical pinning model with site disorder: disorder is
marginally relevant},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {148},
year = {2010},
number = {1-2},
pages = {159--175},
issn = {0178-8051,1432-2064},
mrclass = {60K37 (37H99 82B44)},
mrnumber = {2653225},
doi = {10.1007/s00440-009-0226-6},
url = {https://doi.org/10.1007/s00440-009-0226-6}
}
@Article{ lacoin:10:martingale,
author = {Lacoin, Hubert},
title = {The martingale approach to disorder irrelevance for
pinning models},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {15},
year = {2010},
pages = {418--427},
issn = {1083-589X},
mrclass = {60K37 (60G42 60K05 82B44)},
mrnumber = {2726088},
mrreviewer = {David\ A.\ Croydon},
doi = {10.1214/ECP.v15-1572},
url = {https://doi.org/10.1214/ECP.v15-1572}
}
@Article{ lacoin:10:new,
author = {Lacoin, Hubert},
title = {New bounds for the free energy of directed polymers in
dimension {$1+1$} and {$1+2$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {294},
year = {2010},
number = {2},
pages = {471--503},
issn = {0010-3616},
mrclass = {60K37 (60K35 82D60)},
mrnumber = {2579463},
mrreviewer = {David A. Croydon},
doi = {10.1007/s00220-009-0957-3},
url = {https://doi.org/10.1007/s00220-009-0957-3}
}
@Article{ lacoin:11:influence,
author = {Lacoin, Hubert},
title = {Influence of spatial correlation for directed polymers},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {39},
year = {2011},
number = {1},
pages = {139--175},
issn = {0091-1798},
mrclass = {60K37 (60K35 82B44 82D60)},
mrnumber = {2778799},
mrreviewer = {Antonio Auffinger},
doi = {10.1214/10-AOP553},
url = {https://doi.org/10.1214/10-AOP553}
}
@Article{ lacoin:12:existence,
author = {Lacoin, Hubert},
title = {Existence of an intermediate phase for oriented
percolation},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {17},
year = {2012},
pages = {no. 41, 17},
issn = {1083-6489},
mrclass = {60K35 (60K37 82B43 82D60)},
mrnumber = {2928724},
mrreviewer = {Elena\ A.\ Zhizhina},
doi = {10.1214/EJP.v17-1761},
url = {https://doi.org/10.1214/EJP.v17-1761}
}
@Article{ lacoin:12:superdiffusivity,
author = {Lacoin, Hubert},
title = {Superdiffusivity for {B}rownian motion in a {P}oissonian
potential with long range correlation: {I}: {L}ower bound
on the volume exponent},
journal = {Ann. Inst. Henri Poincar\'e{} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'e{} Probabilit\'es et
Statistiques},
volume = {48},
year = {2012},
number = {4},
pages = {1010--1028},
issn = {0246-0203,1778-7017},
mrclass = {60K37 (60J65 82B44 82D60)},
mrnumber = {3052458},
mrreviewer = {Noemi\ Kurt},
doi = {10.1214/11-AIHP467},
url = {https://doi.org/10.1214/11-AIHP467}
}
@Article{ lacoin:12:superdiffusivity*1,
author = {Lacoin, Hubert},
title = {Superdiffusivity for {B}rownian motion in a {P}oissonian
potential with long range correlation {II}: {U}pper bound
on the volume exponent},
journal = {Ann. Inst. Henri Poincar\'e{} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'e{} Probabilit\'es et
Statistiques},
volume = {48},
year = {2012},
number = {4},
pages = {1029--1048},
issn = {0246-0203,1778-7017},
mrclass = {60K37 (60J65 82B44 82D60)},
mrnumber = {3052457},
mrreviewer = {Noemi\ Kurt},
doi = {10.1214/11-AIHP457},
url = {https://doi.org/10.1214/11-AIHP457}
}
@Article{ lacoin:13:approximate,
author = {Lacoin, Hubert},
title = {Approximate {L}ifshitz law for the zero-temperature
stochastic {I}sing model in any dimension},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {318},
year = {2013},
number = {2},
pages = {291--305},
issn = {0010-3616,1432-0916},
mrclass = {82C20},
mrnumber = {3020159},
doi = {10.1007/s00220-013-1667-4},
url = {https://doi.org/10.1007/s00220-013-1667-4}
}
@Article{ lacoin:14:existence,
author = {Lacoin, Hubert},
title = {Existence of a non-averaging regime for the self-avoiding
walk on a high-dimensional infinite percolation cluster},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {154},
year = {2014},
number = {6},
pages = {1461--1482},
issn = {0022-4715,1572-9613},
mrclass = {82D60},
mrnumber = {3176415},
doi = {10.1007/s10955-014-0926-x},
url = {https://doi.org/10.1007/s10955-014-0926-x}
}
@Article{ lacoin:14:non-coincidence,
author = {Lacoin, Hubert},
title = {Non-coincidence of quenched and annealed connective
constants on the supercritical planar percolation cluster},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {159},
year = {2014},
number = {3-4},
pages = {777--808},
issn = {0178-8051,1432-2064},
mrclass = {82B44 (60K37 82D60)},
mrnumber = {3230008},
doi = {10.1007/s00440-013-0520-1},
url = {https://doi.org/10.1007/s00440-013-0520-1}
}
@Article{ lacoin:14:scaling,
author = {Lacoin, Hubert},
title = {The scaling limit of polymer pinning dynamics and a one
dimensional {S}tefan freezing problem},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {331},
year = {2014},
number = {1},
pages = {21--66},
issn = {0010-3616,1432-0916},
mrclass = {82D60 (60F05 60J28 60K35 82C24)},
mrnumber = {3231995},
doi = {10.1007/s00220-014-2058-1},
url = {https://doi.org/10.1007/s00220-014-2058-1}
}
@InCollection{ lacoin:14:scaling*1,
author = {Lacoin, Hubert},
title = {The scaling limit for zero-temperature planar {I}sing
droplets: with and without magnetic fields},
booktitle = {Topics in percolative and disordered systems},
series = {Springer Proc. Math. Stat.},
volume = {69},
pages = {85--120},
publisher = {Springer, New York},
year = {2014},
isbn = {978-1-4939-0339-9; 978-1-4939-0338-2},
mrclass = {82B20 (60K35)},
mrnumber = {3229287},
mrreviewer = {N.\ N.\ Ganikhodjaev},
doi = {10.1007/978-1-4939-0339-9\_4},
url = {https://doi.org/10.1007/978-1-4939-0339-9_4}
}
@Article{ lacoin:15:product,
author = {Lacoin, Hubert},
title = {A product chain without cutoff},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {20},
year = {2015},
pages = {no. 19, 9},
issn = {1083-589X},
mrclass = {60J10},
mrnumber = {3320407},
doi = {10.1214/ECP.v20-3765},
url = {https://doi.org/10.1214/ECP.v20-3765}
}
@Article{ lacoin:16:cutoff,
author = {Lacoin, Hubert},
title = {The cutoff profile for the simple exclusion process on the
circle},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {5},
pages = {3399--3430},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (37L60 60B10 60J10 82C20)},
mrnumber = {3551201},
doi = {10.1214/15-AOP1053},
url = {https://doi.org/10.1214/15-AOP1053}
}
@Article{ lacoin:16:mixing,
author = {Lacoin, Hubert},
title = {Mixing time and cutoff for the adjacent transposition
shuffle and the simple exclusion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {2},
pages = {1426--1487},
issn = {0091-1798,2168-894X},
mrclass = {60J10 (37L60 60K35 82C20)},
mrnumber = {3474475},
mrreviewer = {G\'erard\ Letac},
doi = {10.1214/15-AOP1004},
url = {https://doi.org/10.1214/15-AOP1004}
}
@Article{ lacoin:17:rounding,
author = {Lacoin, Hubert},
title = {The rounding of the phase transition for disordered
pinning with stretched exponential tails},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {27},
year = {2017},
number = {2},
pages = {917--943},
issn = {1050-5164,2168-8737},
mrclass = {60K35 (60K37 82B26 82B27 82B44)},
mrnumber = {3655857},
doi = {10.1214/16-AAP1220},
url = {https://doi.org/10.1214/16-AAP1220}
}
@Article{ lacoin:17:simple,
author = {Lacoin, Hubert},
title = {The simple exclusion process on the circle has a diffusive
cutoff window},
journal = {Ann. Inst. Henri Poincar\'e{} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'e{} Probabilit\'es et
Statistiques},
volume = {53},
year = {2017},
number = {3},
pages = {1402--1437},
issn = {0246-0203,1778-7017},
mrclass = {82B20 (60K35 82B44)},
mrnumber = {3689972},
mrreviewer = {Rongfeng\ Sun},
doi = {10.1214/16-AIHP759},
url = {https://doi.org/10.1214/16-AIHP759}
}
@Article{ lacoin:18:wetting,
author = {Lacoin, Hubert},
title = {Wetting and layering for solid-on-solid {I}:
{I}dentification of the wetting point and critical
behavior},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {362},
year = {2018},
number = {3},
pages = {1007--1048},
issn = {0010-3616,1432-0916},
mrclass = {82D20 (82B21 82B24 82B26)},
mrnumber = {3845294},
mrreviewer = {Uwe\ C.\ T\"auber},
doi = {10.1007/s00220-018-3162-4},
url = {https://doi.org/10.1007/s00220-018-3162-4}
}
@InCollection{ lacoin:19:marginal,
author = {Lacoin, Hubert},
title = {Marginal relevance for the {$\gamma$}-stable pinning
model},
booktitle = {Stochastic dynamics out of equilibrium},
series = {Springer Proc. Math. Stat.},
volume = {282},
pages = {597--616},
publisher = {Springer, Cham},
year = {2019},
isbn = {978-3-030-15096-9; 978-3-030-15095-2},
mrclass = {82C44},
mrnumber = {3986083},
doi = {10.1007/978-3-030-15096-9\_2},
url = {https://doi.org/10.1007/978-3-030-15096-9_2}
}
@Article{ lacoin:19:pinning,
author = {Lacoin, Hubert},
title = {Pinning and disorder relevance for the lattice {G}aussian
free field {II}: {T}he two dimensional case},
journal = {Ann. Sci. \'Ec. Norm. Sup\'er. (4)},
fjournal = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
volume = {52},
year = {2019},
number = {6},
pages = {1331--1401},
issn = {0012-9593,1873-2151},
mrclass = {60K35 (60G15 82B44)},
mrnumber = {4061024},
mrreviewer = {Yoshihiro\ Abe},
doi = {10.24033/asens.2411},
url = {https://doi.org/10.24033/asens.2411}
}
@Book{ lacoin:19:real,
author = {Lacoin, Hubert},
title = {Real and complex {G}aussian multiplicative chaos},
series = {32 $\sp {\rm o}$ Col\'oquio Brasileiro de Matem\'atica},
publisher = {Instituto Nacional de Matem\'atica Pura e Aplicada (IMPA),
Rio de Janeiro},
year = {2019},
pages = {51},
isbn = {978-85-244-0430-6},
mrclass = {60G15 (60F05 60F15 60F25 60G60 60K35)},
mrnumber = {4472264},
mrreviewer = {Isamu\ D\^oku}
}
@Article{ lacoin:20:wetting,
author = {Lacoin, Hubert},
title = {Wetting and layering for solid-on-solid {II}: {L}ayering
transitions, {G}ibbs states, and regularity of the free
energy},
journal = {J. \'Ec. polytech. Math.},
fjournal = {Journal de l'\'Ecole polytechnique. Math\'ematiques},
volume = {7},
year = {2020},
pages = {1--62},
issn = {2429-7100,2270-518X},
mrclass = {82B27 (60K35 60K37 82B44)},
mrnumber = {4033749},
doi = {10.5802/jep.110},
url = {https://doi.org/10.5802/jep.110}
}
@Article{ lacoin:21:solid-on-solid,
author = {Lacoin, Hubert},
title = {Solid-on-solid interfaces with disordered pinning},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {383},
year = {2021},
number = {1},
pages = {489--536},
issn = {0010-3616,1432-0916},
mrclass = {60K35 (82B24 82B27 82B44)},
mrnumber = {4236072},
doi = {10.1007/s00220-021-03948-9},
url = {https://doi.org/10.1007/s00220-021-03948-9}
}
@Article{ lacoin:22:convergence,
author = {Lacoin, Hubert},
title = {Convergence in law for complex {G}aussian multiplicative
chaos in phase {III}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {50},
year = {2022},
number = {3},
pages = {950--983},
issn = {0091-1798,2168-894X},
mrclass = {60G15 (60G60 60H40)},
mrnumber = {4413209},
mrreviewer = {Olga\ Izyumtseva},
doi = {10.1214/21-aop1551},
url = {https://doi.org/10.1214/21-aop1551}
}
@Article{ lacoin:22:universality,
author = {Lacoin, Hubert},
title = {A universality result for subcritical complex {G}aussian
multiplicative chaos},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {32},
year = {2022},
number = {1},
pages = {269--293},
issn = {1050-5164,2168-8737},
mrclass = {60G15 (60F99)},
mrnumber = {4386527},
doi = {10.1214/21-aap1677},
url = {https://doi.org/10.1214/21-aap1677}
}
@InCollection{ lacoin:23:mixing,
author = {Lacoin, Hubert},
title = {Mixing time and cutoff for one-dimensional particle
systems},
booktitle = {I{CM}---{I}nternational {C}ongress of {M}athematicians.
{V}ol. 6. {S}ections 12--14},
pages = {4350--4374},
publisher = {EMS Press, Berlin},
year = {[2023] \copyright 2023},
isbn = {978-3-98547-064-8; 978-3-98547-564-3; 978-3-98547-058-7},
mrclass = {60J10 (37L60 82C20)},
mrnumber = {4680406}
}
@Article{ lacoin:24:convergence,
author = {Lacoin, Hubert},
title = {Convergence for complex {G}aussian multiplicative chaos on
phase boundaries},
journal = {Probab. Math. Phys.},
fjournal = {Probability and Mathematical Physics},
volume = {5},
year = {2024},
number = {2},
pages = {491--544},
issn = {2690-0998,2690-1005},
mrclass = {60G60 (60F99 60G15)},
mrnumber = {4749813},
doi = {10.2140/pmp.2024.5.491},
url = {https://doi.org/10.2140/pmp.2024.5.491}
}
@Article{ lacoin:24:critical,
author = {Lacoin, Hubert},
title = {Critical {G}aussian multiplicative chaos for singular
measures},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {175},
year = {2024},
pages = {Paper No. 104388, 25},
issn = {0304-4149,1879-209X},
mrclass = {60G57 (60F99 60G15 82B27)},
mrnumber = {4754718},
doi = {10.1016/j.spa.2024.104388},
url = {https://doi.org/10.1016/j.spa.2024.104388}
}
@Book{ ladyzenskaja.solonnikov.ea:67:linei,
author = {Lady\v{z}enskaja, O. A. and Solonnikov, V. A. and
Ural{\cprime}ceva, N. N.},
title = {{\cyr Line\u{i}} {\cyr nye i kvaziline\u{i}} {\cyr nye
uravneniya parabolicheskogo tipa}},
publisher = {Izdat. ``Nauka'', Moscow},
year = {1967},
pages = {736},
mrclass = {35.62},
mrnumber = {241821}
}
@Book{ ladyzenskaja.solonnikov.ea:68:linear,
author = {Lady\v{z}enskaja, O. A. and Solonnikov, V. A. and
Ural{\cprime}ceva, N. N.},
title = {Linear and quasilinear equations of parabolic type},
series = {Translations of Mathematical Monographs, Vol. 23},
note = {Translated from the Russian by S. Smith},
publisher = {American Mathematical Society, Providence, R.I.},
year = {1968},
pages = {xi+648},
mrclass = {35.62},
mrnumber = {0241822},
mrreviewer = {B. Frank Jones, Jr.}
}
@Book{ ladyzhenskaya:85:boundary,
author = {Ladyzhenskaya, O. A.},
title = {The boundary value problems of mathematical physics},
series = {Applied Mathematical Sciences},
volume = {49},
note = {Translated from the Russian by Jack Lohwater [Arthur J.
Lohwater]},
publisher = {Springer-Verlag, New York},
year = {1985},
pages = {xxx+322},
isbn = {0-387-90989-3},
mrclass = {35-01},
mrnumber = {793735},
mrreviewer = {Robert D. Brown},
doi = {10.1007/978-1-4757-4317-3},
url = {https://doi.org/10.1007/978-1-4757-4317-3}
}
@Article{ lagendijk.tiggelen.ea:09:fifty,
author = {Lagendijk, Ad and Tiggelen, Bart van and Wiersma, Diederik
S.},
title = {Fifty years of Anderson localization},
journal = {Phys. Today},
fjournal = {Physics Today},
volume = {62},
number = {8},
pages = {24--29},
year = {2009},
month = {08},
issn = {0031-9228},
doi = {10.1063/1.3206091},
url = {https://doi.org/10.1063/1.3206091}
}
@Article{ lager-s:05:renewal-process-type,
author = {Lager\aa s, Andreas Nordvall},
title = {A renewal-process-type expression for the moments of
inverse subordinators},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {42},
year = {2005},
number = {4},
pages = {1134--1144},
issn = {0021-9002},
mrclass = {60K05 (60E07 60G51 60G55)},
mrnumber = {2203828},
mrreviewer = {Sreenivasan Ravi},
doi = {10.1239/jap/1134587822},
url = {https://doi.org/10.1239/jap/1134587822}
}
@Article{ lahiri:03:necessary,
author = {Lahiri, S. N.},
title = {A necessary and sufficient condition for asymptotic
independence of discrete {F}ourier transforms under short-
and long-range dependence},
note = {Dedicated to the memory of Herbert E. Robbins},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {31},
year = {2003},
number = {2},
pages = {613--641},
issn = {0090-5364},
mrclass = {62M10 (62E20)},
mrnumber = {1983544},
mrreviewer = {Juan Carlos Abril},
doi = {10.1214/aos/1051027883},
url = {https://doi.org/10.1214/aos/1051027883}
}
@Article{ lai.xiao:17:existence,
author = {Lai, Yulin and Xiao, Youjun},
title = {Existence and asymptotic behavior of global solutions to
chemorepulsion systems with nonlinear sensitivity},
journal = {Electron. J. Differential Equations},
fjournal = {Electronic Journal of Differential Equations},
year = {2017},
pages = {Paper No. 254, 9},
mrclass = {35M33 (35B40 35Q92)},
mrnumber = {3723527}
}
@Article{ lai:74:reproducing,
author = {Lai, Tze Leung},
title = {Reproducing kernel {H}ilbert spaces and the law of the
iterated logarithm for {G}aussian processes},
journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {29},
year = {1974},
pages = {7--19},
mrclass = {60G15 (60F15)},
mrnumber = {368121},
mrreviewer = {Yu. M. Ryzhov},
doi = {10.1007/BF00533181},
url = {https://doi.org/10.1007/BF00533181}
}
@Article{ lakhel:03:large,
author = {Lakhel, El Hassan},
title = {Large deviation for stochastic {V}olterra equation in the
{B}esov-{O}rlicz space and application},
journal = {Random Oper. Stochastic Equations},
fjournal = {Random Operators and Stochastic Equations},
volume = {11},
year = {2003},
number = {4},
pages = {333--350},
issn = {0926-6364},
mrclass = {60H20 (60F10)},
mrnumber = {2020569},
mrreviewer = {David M\'{a}rquez-Carreras},
doi = {10.1163/156939703771891860},
url = {https://doi.org/10.1163/156939703771891860}
}
@Article{ lam.sander.ea:92:surface,
title = {Surface growth with temporally correlated noise},
author = {Lam, Chi-Hang and Sander, Leonard M. and Wolf, Dietrich
E.},
journal = {Phys. Rev. A},
volume = {46},
issue = {10},
pages = {R6128--R6131},
numpages = {0},
year = {1992},
month = {Nov},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.46.R6128},
url = {https://link.aps.org/doi/10.1103/PhysRevA.46.R6128}
}
@Article{ lam.sander:93:inverse,
title = {Inverse method for interface problems},
author = {Lam, Chi-Hang and Sander, Leonard M.},
journal = {Phys. Rev. Lett.},
volume = {71},
issue = {4},
pages = {561--564},
numpages = {0},
year = {1993},
month = {Jul},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.71.561},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.71.561}
}
@Article{ lamarre.ghosal.ea:20:spectral,
author = {Lamarre, Pierre Yves Gaudreau and Ghosal, Promit and Liao,
Yuchen},
title = {Spectral rigidity of random {S}chr\"{o}dinger operators
via {F}eynman-{K}ac formulas},
journal = {Ann. Henri Poincar\'{e}},
fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and
Mathematical Physics},
volume = {21},
year = {2020},
number = {7},
pages = {2259--2299},
issn = {1424-0637},
mrclass = {60G55 (47D08 82B44)},
mrnumber = {4117493},
doi = {10.1007/s00023-020-00921-5},
url = {https://doi.org/10.1007/s00023-020-00921-5}
}
@Article{ lamarre.shkolnikov:19:edge,
author = {Lamarre, Pierre Yves Gaudreau and Shkolnikov, Mykhaylo},
title = {Edge of spiked beta ensembles, stochastic {A}iry
semigroups and reflected {B}rownian motions},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {55},
year = {2019},
number = {3},
pages = {1402--1438},
issn = {0246-0203,1778-7017},
mrclass = {60B20 (47D08 60H25 60J55)},
mrnumber = {4010940},
doi = {10.1214/18-aihp923},
url = {https://doi.org/10.1214/18-aihp923}
}
@Article{ lamarre:24:trace,
title = {Trace Moments for Schr\"odinger Operators with Matrix
White Noise and the Rigidity of the Multivariate Stochastic
Airy Operator},
author = {Pierre Yves Gaudreau Lamarre},
year = {2024},
month = {May},
journal = {Preprint arXiv:2405.12316},
url = {http://arXiv.org/abs/2405.12316}
}
@Article{ lamba.mattingly.ea:07:adaptive,
author = {Lamba, H. and Mattingly, J. C. and Stuart, A. M.},
title = {An adaptive {E}uler-{M}aruyama scheme for {SDE}s:
convergence and stability},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {27},
year = {2007},
number = {3},
pages = {479--506},
issn = {0272-4979,1464-3642},
mrclass = {60H35 (60H10 65C30)},
mrnumber = {2337577},
mrreviewer = {Peter\ E.\ Kloeden},
doi = {10.1093/imanum/drl032},
url = {https://doi.org/10.1093/imanum/drl032}
}
@Article{ lan.marinucci.ea:18:strong,
author = {Lan, Xiaohong and Marinucci, Domenico and Xiao, Yimin},
title = {Strong local nondeterminism and exact modulus of
continuity for spherical {G}aussian fields},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {128},
year = {2018},
number = {4},
pages = {1294--1315},
issn = {0304-4149,1879-209X},
mrclass = {60G60 (42C40 60G15 60G17)},
mrnumber = {3769662},
mrreviewer = {David\ Ginsbourger},
doi = {10.1016/j.spa.2017.07.008},
url = {https://doi.org/10.1016/j.spa.2017.07.008}
}
@Article{ lan.xiao:18:strong,
author = {Lan, Xiaohong and Xiao, Yimin},
title = {Strong local nondeterminism of spherical fractional
{B}rownian motion},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {135},
year = {2018},
pages = {44--50},
issn = {0167-7152,1879-2103},
mrclass = {60G60 (60G17 60G22)},
mrnumber = {3758260},
mrreviewer = {Yizao\ Wang},
doi = {10.1016/j.spl.2017.11.007},
url = {https://doi.org/10.1016/j.spl.2017.11.007}
}
@Article{ lan.xiao:19:regularity,
author = {Lan, Xiaohong and Xiao, Yimin},
title = {Regularity properties of the solution to a stochastic heat
equation driven by a fractional {G}aussian noise on
{$\Bbb{S}^2$}},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {476},
year = {2019},
number = {1},
pages = {27--52},
issn = {0022-247X,1096-0813},
mrclass = {60H15 (35B65 35R60 60G22)},
mrnumber = {3944417},
mrreviewer = {Mar\'{i}a\ J.\ Garrido-Atienza},
doi = {10.1016/j.jmaa.2019.01.077},
url = {https://doi.org/10.1016/j.jmaa.2019.01.077}
}
@Article{ lancichinetti.fortunato:09:community,
title = {Community detection algorithms: a comparative analysis},
author = {Lancichinetti, Andrea and Fortunato, Santo},
journal = {Physical review E},
volume = {80},
number = {5},
pages = {056117},
year = {2009},
publisher = {APS}
}
@Book{ landau.lifshitz:58:quantum,
author = {Landau, L. D. and Lifshitz, E. M.},
title = {Quantum mechanics: non-relativistic theory. {C}ourse of
{T}heoretical {P}hysics, {V}ol. 3},
series = {Addison-Wesley Series in Advanced Physics},
note = {Translated from the Russian by J. B. Sykes and J. S.
Bell},
publisher = {Pergamon Press Ltd., London-Paris; for U.S.A. and Canada:
Addison-Wesley Publishing Co., Inc., Reading, Mass;},
year = {1958},
pages = {xii+515},
mrclass = {81.0X},
mrnumber = {0093319}
}
@Book{ landau.lifshitz:68:course,
author = {Landau, L. D. and Lifshitz, E. M.},
title = {Course of theoretical physics. {V}ol. 5: {S}tatistical
physics},
edition = {enlarged},
note = {Translated from the Russian by J. B. Sykes and M. J.
Kearsley},
publisher = {Pergamon Press, Oxford-Edinburgh-New York},
year = {1968},
pages = {xii+484},
mrclass = {82.00},
mrnumber = {0242449}
}
@Article{ landau.shepp:70:on,
author = {Landau, H. J. and Shepp, L. A.},
title = {On the supremum of a {G}aussian process},
journal = {Sankhy\={a} Ser. A},
fjournal = {Sankhy\={a} (Statistics). The Indian Journal of
Statistics. Series A},
volume = {32},
year = {1970},
pages = {369--378},
issn = {0581-572X},
mrclass = {60.40},
mrnumber = {286167},
mrreviewer = {Radu Theodorescu}
}
@InCollection{ landim.olla.ea:01:symmetric,
author = {Landim, C. and Olla, S. and Varadhan, S. R. S.},
title = {Symmetric simple exclusion process: regularity of the
self-diffusion coefficient},
note = {Dedicated to Joel L. Lebowitz},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {224},
year = {2001},
number = {1},
pages = {307--321},
issn = {0010-3616,1432-0916},
mrclass = {60J60 (82C31)},
mrnumber = {1869001},
mrreviewer = {Lorenza\ Viola},
doi = {10.1007/s002200100513},
url = {https://doi.org/10.1007/s002200100513}
}
@Article{ landim.quastel.ea:04:superdiffusivity,
author = {Landim, C. and Quastel, J. and Salmhofer, M. and Yau,
H.-T.},
title = {Superdiffusivity of asymmetric exclusion process in
dimensions one and two},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {244},
year = {2004},
number = {3},
pages = {455--481},
issn = {0010-3616},
mrclass = {60J25 (60K35 82B41)},
mrnumber = {2034485},
mrreviewer = {Christian Maes},
doi = {10.1007/s00220-003-1020-4},
url = {https://doi.org/10.1007/s00220-003-1020-4}
}
@Article{ landim.sethuraman.ea:96:spectral,
author = {Landim, C. and Sethuraman, S. and Varadhan, S.},
title = {Spectral gap for zero-range dynamics},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {4},
pages = {1871--1902},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (82C22)},
mrnumber = {1415232},
mrreviewer = {Timo\ Sepp\"al\"ainen},
doi = {10.1214/aop/1041903209},
url = {https://doi.org/10.1214/aop/1041903209}
}
@Book{ landkof:72:foundations,
author = {Landkof, N. S.},
title = {Foundations of modern potential theory},
series = {Die Grundlehren der mathematischen Wissenschaften, Band
180},
note = {Translated from the Russian by A. P. Doohovskoy},
publisher = {Springer-Verlag, New York-Heidelberg},
year = {1972},
pages = {x+424},
mrclass = {31-XX},
mrnumber = {0350027}
}
@Article{ landman.papanicolaou.ea:88:rate,
author = {Landman, M. J. and Papanicolaou, G. C. and Sulem, C. and
Sulem, P.-L.},
title = {Rate of blowup for solutions of the nonlinear
{S}chr\"{o}dinger equation at critical dimension},
journal = {Phys. Rev. A (3)},
fjournal = {Physical Review. A. Third Series},
volume = {38},
year = {1988},
number = {8},
pages = {3837--3843},
issn = {1050-2947},
mrclass = {35Q20},
mrnumber = {966356},
doi = {10.1103/PhysRevA.38.3837},
url = {https://doi.org/10.1103/PhysRevA.38.3837}
}
@Article{ landman.pettet.ea:03:chemotactic,
author = {Landman, K. A. and Pettet, G. J. and Newgreen, D. F.},
title = {Chemotactic cellular migration: smooth and discontinuous
travelling wave solutions},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {63},
year = {2003},
number = {5},
pages = {1666--1681},
issn = {0036-1399},
mrclass = {35K57 (34D20 35L60 35L67 92C17)},
mrnumber = {2001214},
mrreviewer = {Michael Grinfeld},
doi = {10.1137/S0036139902404694},
url = {https://doi.org/10.1137/S0036139902404694}
}
@Article{ langlands.henry:10:fractional,
author = {Langlands, T. A. M. and Henry, B. I.},
title = {Fractional chemotaxis diffusion equations},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {81},
year = {2010},
number = {5},
pages = {051102, 12},
issn = {1539-3755},
mrclass = {35R11 (35K57 35Q92 92C17)},
mrnumber = {2736241},
doi = {10.1103/PhysRevE.81.051102},
url = {https://doi.org/10.1103/PhysRevE.81.051102}
}
@Article{ lanjri-zadi.nualart:03:smoothness,
author = {Lanjri Zadi, Noureddine and Nualart, David},
title = {Smoothness of the law of the supremum of the fractional
{B}rownian motion},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {8},
year = {2003},
pages = {102--111},
issn = {1083-589X},
mrclass = {60H07 (60G15)},
mrnumber = {2042749},
mrreviewer = {Vladimir I. Bogachev},
doi = {10.1214/ECP.v8-1079},
url = {https://doi.org/10.1214/ECP.v8-1079}
}
@Article{ lanjri-zaidi.nualart:02:backward,
author = {Lanjri Za\"{i}di, N. and Nualart, D.},
title = {Backward stochastic differential equations in the plane},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {16},
year = {2002},
number = {4},
pages = {373--386},
issn = {0926-2601},
mrclass = {60H10 (35R30 35R60 60H20)},
mrnumber = {1894504},
mrreviewer = {Krystyna Twardowska},
doi = {10.1023/A:1014878129265},
url = {https://doi.org/10.1023/A:1014878129265}
}
@Article{ lankeit.lankeit:19:classical,
author = {Lankeit, Elisa and Lankeit, Johannes},
title = {Classical solutions to a logistic chemotaxis model with
singular sensitivity and signal absorption},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {46},
year = {2019},
pages = {421--445},
issn = {1468-1218},
mrclass = {92C17 (35A09 35K51 35Q92)},
mrnumber = {3887138},
doi = {10.1016/j.nonrwa.2018.09.012},
url = {https://doi.org/10.1016/j.nonrwa.2018.09.012}
}
@Article{ lankeit.lankeit:19:on,
author = {Lankeit, Elisa and Lankeit, Johannes},
title = {On the global generalized solvability of a chemotaxis
model with signal absorption and logistic growth terms},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {32},
year = {2019},
number = {5},
pages = {1569--1596},
issn = {0951-7715},
mrclass = {35K51 (92C17)},
mrnumber = {3942593},
mrreviewer = {Adrian Muntean},
doi = {10.1088/1361-6544/aaf8c0},
url = {https://doi.org/10.1088/1361-6544/aaf8c0}
}
@Article{ lankeit.winkler:17:generalized,
author = {Lankeit, Johannes and Winkler, Michael},
title = {A generalized solution concept for the {K}eller-{S}egel
system with logarithmic sensitivity: global solvability for
large nonradial data},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {24},
year = {2017},
number = {4},
pages = {Paper No. 49, 33},
issn = {1021-9722},
mrclass = {35K51 (35A01 35D30 35K59 92C17)},
mrnumber = {3674184},
doi = {10.1007/s00030-017-0472-8},
url = {https://doi.org/10.1007/s00030-017-0472-8}
}
@Article{ lankeit.winkler:20:facing,
author = {Lankeit, Johannes and Winkler, Michael},
title = {Facing low regularity in chemotaxis systems},
journal = {Jahresber. Dtsch. Math.-Ver.},
fjournal = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
volume = {122},
year = {2020},
number = {1},
pages = {35--64},
issn = {0012-0456},
mrclass = {92C17 (35B44 35D35 35K51 35Q92)},
mrnumber = {4071449},
mrreviewer = {Tomasz Cie\'{s}lak},
doi = {10.1365/s13291-019-00210-z},
url = {https://doi.org/10.1365/s13291-019-00210-z}
}
@Article{ lankeit:15:chemotaxis,
author = {Lankeit, Johannes},
title = {Chemotaxis can prevent thresholds on population density},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {20},
year = {2015},
number = {5},
pages = {1499--1527},
issn = {1531-3492},
mrclass = {35M33 (35A01 35A02 35B40 35K51 92C17 92D25)},
mrnumber = {3356541},
doi = {10.3934/dcdsb.2015.20.1499},
url = {https://doi.org/10.3934/dcdsb.2015.20.1499}
}
@Article{ lankeit:15:eventual,
author = {Lankeit, Johannes},
title = {Eventual smoothness and asymptotics in a three-dimensional
chemotaxis system with logistic source},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {258},
year = {2015},
number = {4},
pages = {1158--1191},
issn = {0022-0396},
mrclass = {35K51 (35B40 35B65 35D30 35K59 35Q92 92C17)},
mrnumber = {3294344},
doi = {10.1016/j.jde.2014.10.016},
url = {https://doi.org/10.1016/j.jde.2014.10.016}
}
@Article{ lankeit:16:new,
author = {Lankeit, Johannes},
title = {A new approach toward boundedness in a two-dimensional
parabolic chemotaxis system with singular sensitivity},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {39},
year = {2016},
number = {3},
pages = {394--404},
issn = {0170-4214},
mrclass = {35K40 (35A01 35Q92 92C17)},
mrnumber = {3454184},
doi = {10.1002/mma.3489},
url = {https://doi.org/10.1002/mma.3489}
}
@Article{ lankeit:17:locally,
author = {Lankeit, Johannes},
title = {Locally bounded global solutions to a chemotaxis
consumption model with singular sensitivity and nonlinear
diffusion},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {262},
year = {2017},
number = {7},
pages = {4052--4084},
issn = {0022-0396},
mrclass = {35K51 (35A01 35K59 35K65 92C17)},
mrnumber = {3599425},
doi = {10.1016/j.jde.2016.12.007},
url = {https://doi.org/10.1016/j.jde.2016.12.007}
}
@Article{ laptinskiui:68:certain,
author = {Laptinskiu{i}, V. N.},
title = {A certain inequality},
journal = {Differencial{\cprime}nye Uravnenija},
fjournal = {Differencial{\cprime}nye Uravnenija},
volume = {4},
year = {1968},
pages = {368--369},
issn = {0374-0641},
mrclass = {45.10},
mrnumber = {226320},
mrreviewer = {G. P. Szeg\"{o}}
}
@Article{ larios.yamazaki:20:on,
author = {Larios, Adam and Yamazaki, Kazuo},
title = {On the well-posedness of an anisotropically-reduced
two-dimensional {K}uramoto-{S}ivashinsky equation},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {411},
year = {2020},
pages = {132560, 14},
issn = {0167-2789},
mrclass = {35Q53 (35B30)},
mrnumber = {4104976},
doi = {10.1016/j.physd.2020.132560},
url = {https://doi.org/10.1016/j.physd.2020.132560}
}
@Article{ lasalle:49:uniqueness,
author = {LaSalle, J.},
title = {Uniqueness theorems and successive approximations},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {50},
year = {1949},
pages = {722--730},
issn = {0003-486X},
mrclass = {36.0X},
mrnumber = {31165},
mrreviewer = {J. M. Thomas},
doi = {10.2307/1969559},
url = {https://doi.org/10.2307/1969559}
}
@Book{ lasota.mackey:94:chaos,
author = {Lasota, Andrzej and Mackey, Michael C.},
title = {Chaos, fractals, and noise},
series = {Applied Mathematical Sciences},
volume = {97},
edition = {Second},
note = {Stochastic aspects of dynamics},
publisher = {Springer-Verlag, New York},
year = {1994},
pages = {xiv+472},
isbn = {0-387-94049-9},
mrclass = {58F11 (28A80 58F13)},
mrnumber = {1244104},
mrreviewer = {Helena E. Nusse},
doi = {10.1007/978-1-4612-4286-4},
url = {https://doi.org/10.1007/978-1-4612-4286-4}
}
@Article{ last.simon:99:eigenfunctions,
author = {Last, Yoram and Simon, Barry},
title = {Eigenfunctions, transfer matrices, and absolutely
continuous spectrum of one-dimensional {S}chr\"odinger
operators},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {135},
year = {1999},
number = {2},
pages = {329--367},
issn = {0020-9910,1432-1297},
mrclass = {47B39 (34L05 34L40 47E05 81Q10)},
mrnumber = {1666767},
mrreviewer = {G\"unter\ Stolz},
doi = {10.1007/s002220050288},
url = {https://doi.org/10.1007/s002220050288}
}
@InCollection{ lata-a.matlak:17:royens,
author = {Lata\l a, Rafa\l and Matlak, Dariusz},
title = {Royen's proof of the {G}aussian correlation inequality},
booktitle = {Geometric aspects of functional analysis},
series = {Lecture Notes in Math.},
volume = {2169},
pages = {265--275},
publisher = {Springer, Cham},
year = {2017},
mrclass = {60G15 (52A20 60E15)},
mrnumber = {3645127},
mrreviewer = {Mikhail A. Lifshits}
}
@Article{ laurencot.mizoguchi:17:finite,
author = {Lauren\c{c}ot, Philippe and Mizoguchi, Noriko},
title = {Finite time blowup for the parabolic-parabolic
{K}eller-{S}egel system with critical diffusion},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {34},
year = {2017},
number = {1},
pages = {197--220},
issn = {0294-1449},
mrclass = {35K51 (35B33 35B44 35K65 35Q92 92C17)},
mrnumber = {3592684},
mrreviewer = {Hongwei Chen},
doi = {10.1016/j.anihpc.2015.11.002},
url = {https://doi.org/10.1016/j.anihpc.2015.11.002}
}
@Article{ laurent.rider.ea:06:parabolic,
author = {Laurent, Thomas and Rider, Brian and Reed, Michael},
title = {Parabolic behavior of a hyperbolic delay equation},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {38},
year = {2006},
number = {1},
pages = {1--15},
issn = {0036-1410},
mrclass = {35L45 (35A08 35R10 60F05)},
mrnumber = {2217305},
doi = {10.1137/040611422},
url = {https://doi.org/10.1137/040611422}
}
@Book{ lawden:89:elliptic,
author = {Lawden, Derek F.},
title = {Elliptic functions and applications},
series = {Applied Mathematical Sciences},
volume = {80},
publisher = {Springer-Verlag, New York},
year = {1989},
pages = {xiv+334},
isbn = {0-387-96965-9},
mrclass = {33-01 (33A25)},
mrnumber = {1007595},
mrreviewer = {Bruce C. Berndt},
doi = {10.1007/978-1-4757-3980-0},
url = {https://doi.org/10.1007/978-1-4757-3980-0}
}
@Article{ lawler.schramm.ea:03:conformal,
author = {Lawler, Gregory and Schramm, Oded and Werner, Wendelin},
title = {Conformal restriction: the chordal case},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {16},
year = {2003},
number = {4},
pages = {917--955},
issn = {0894-0347},
mrclass = {60K35 (60J65 82B27)},
mrnumber = {1992830},
mrreviewer = {Christophe Giraud},
doi = {10.1090/S0894-0347-03-00430-2},
url = {https://doi.org/10.1090/S0894-0347-03-00430-2}
}
@Article{ lawler.schramm.ea:04:conformal,
author = {Lawler, Gregory F. and Schramm, Oded and Werner,
Wendelin},
title = {Conformal invariance of planar loop-erased random walks
and uniform spanning trees},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {1B},
pages = {939--995},
issn = {0091-1798},
mrclass = {82B41 (60G50)},
mrnumber = {2044671},
mrreviewer = {Olivier Raimond},
doi = {10.1214/aop/1079021469},
url = {https://doi.org/10.1214/aop/1079021469}
}
@InCollection{ lawler.schramm.ea:04:on,
author = {Lawler, Gregory F. and Schramm, Oded and Werner,
Wendelin},
title = {On the scaling limit of planar self-avoiding walk},
booktitle = {Fractal geometry and applications: a jubilee of
{B}eno\^{i}t {M}andelbrot, {P}art 2},
series = {Proc. Sympos. Pure Math.},
volume = {72},
pages = {339--364},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2004},
mrclass = {82B41 (60K35 82B24)},
mrnumber = {2112127},
mrreviewer = {Christophe Giraud},
doi = {10.1090/pspum/072.2/2112127},
url = {https://doi.org/10.1090/pspum/072.2/2112127}
}
@Article{ lawler.trujillo-ferreras:07:random,
author = {Lawler, Gregory F. and Trujillo Ferreras, Jos\'{e} A.},
title = {Random walk loop soup},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {359},
year = {2007},
number = {2},
pages = {767--787},
issn = {0002-9947},
mrclass = {60G15 (60J65 82B41)},
mrnumber = {2255196},
doi = {10.1090/S0002-9947-06-03916-X},
url = {https://doi.org/10.1090/S0002-9947-06-03916-X}
}
@Article{ lawler.werner:04:brownian,
author = {Lawler, Gregory F. and Werner, Wendelin},
title = {The {B}rownian loop soup},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {128},
year = {2004},
number = {4},
pages = {565--588},
issn = {0178-8051},
mrclass = {60J65 (81T40)},
mrnumber = {2045953},
mrreviewer = {Andrea Posilicano},
doi = {10.1007/s00440-003-0319-6},
url = {https://doi.org/10.1007/s00440-003-0319-6}
}
@Article{ lawler.werness:13:multi-point,
author = {Lawler, Gregory F. and Werness, Brent M.},
title = {Multi-point {G}reen's functions for {SLE} and an estimate
of {B}effara},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {3A},
pages = {1513--1555},
issn = {0091-1798},
mrclass = {60J67},
mrnumber = {3098683},
mrreviewer = {Fredrik Johansson Viklund},
doi = {10.1214/11-AOP695},
url = {https://doi.org/10.1214/11-AOP695}
}
@Book{ lawler:05:conformally,
author = {Lawler, Gregory F.},
title = {Conformally invariant processes in the plane},
series = {Mathematical Surveys and Monographs},
volume = {114},
publisher = {American Mathematical Society, Providence, RI},
year = {2005},
pages = {xii+242},
isbn = {0-8218-3677-3},
mrclass = {60-02 (30-02 30C35 31A15 60J65 81T40 82B27)},
mrnumber = {2129588},
mrreviewer = {Zhen-Qing Chen},
doi = {10.1090/surv/114},
url = {https://doi.org/10.1090/surv/114}
}
@Book{ lawler:06:introduction,
author = {Lawler, Gregory F.},
title = {Introduction to stochastic processes},
edition = {Second},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
pages = {xiv+234},
isbn = {978-1-58488-651-8; 1-58488-651-X},
mrclass = {60-01 (60G40 60G42 60H05 60J10 60J27 60J65 60K05)},
mrnumber = {2255511},
mrreviewer = {Emmanuelle Clement}
}
@InCollection{ lawler:12:fractal,
author = {Lawler, Gregory F.},
title = {Fractal and multifractal properties of {S}chramm-{L}oewner
evolution},
booktitle = {Probability and statistical physics in two and more
dimensions},
series = {Clay Math. Proc.},
volume = {15},
pages = {277--318},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2012},
mrclass = {60J67 (28A80)},
mrnumber = {3025393}
}
@Article{ lawley.mattingly.ea:14:sensitivity,
author = {Lawley, Sean D. and Mattingly, Jonathan C. and Reed,
Michael C.},
title = {Sensitivity to switching rates in stochastically switched
{ODE}s},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {12},
year = {2014},
number = {7},
pages = {1343--1352},
issn = {1539-6746,1945-0796},
mrclass = {60J75 (37H15 60J27 93E15)},
mrnumber = {3210750},
mrreviewer = {Yuhong\ Li},
doi = {10.4310/CMS.2014.v12.n7.a9},
url = {https://doi.org/10.4310/CMS.2014.v12.n7.a9}
}
@Article{ lawley.mattingly.ea:15:stochastic,
author = {Lawley, Sean D. and Mattingly, Jonathan C. and Reed,
Michael C.},
title = {Stochastic switching in infinite dimensions with
applications to random parabolic {PDE}},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {47},
year = {2015},
number = {4},
pages = {3035--3063},
issn = {0036-1410,1095-7154},
mrclass = {60H15 (35R60 37H99 46N20 92C30)},
mrnumber = {3379020},
mrreviewer = {Peter\ E.\ Kloeden},
doi = {10.1137/140976716},
url = {https://doi.org/10.1137/140976716}
}
@Book{ lawrentjew.schabat:67:methoden,
author = {Lawrentjew, M. A. and Schabat, B. W.},
title = {Methoden der komplexen {F}unktionentheorie},
series = {Mathematik f\"{u}r Naturwissenschaft und Technik
[Mathematics for Science and Technology], Band 13},
note = {\"{U}bersetzung und wissenschaftliche Redaktion von Udo
Pirl, Reiner K\"{u}hnau und Lothar Wolfersdorf},
publisher = {VEB Deutscher Verlag der Wissenschaften, Berlin},
year = {1967},
pages = {x+846},
mrclass = {30.00},
mrnumber = {209447}
}
@Article{ lax:68:integrals,
author = {Lax, Peter D.},
title = {Integrals of nonlinear equations of evolution and solitary
waves},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {21},
year = {1968},
pages = {467--490},
issn = {0010-3640},
mrclass = {35.79 (47.00)},
mrnumber = {235310},
mrreviewer = {Gerald Rosen},
doi = {10.1002/cpa.3160210503},
url = {https://doi.org/10.1002/cpa.3160210503}
}
@Article{ lax:75:periodic,
author = {Lax, Peter D.},
title = {Periodic solutions of the {K}d{V} equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {28},
year = {1975},
pages = {141--188},
issn = {0010-3640},
mrclass = {35Q99},
mrnumber = {369963},
mrreviewer = {Ronald DiPerna},
doi = {10.1002/cpa.3160280105},
url = {https://doi.org/10.1002/cpa.3160280105}
}
@Article{ le-bris.lions:08:existence,
author = {Le Bris, C. and Lions, P.-L.},
title = {Existence and uniqueness of solutions to {F}okker-{P}lanck
type equations with irregular coefficients},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {33},
year = {2008},
number = {7-9},
pages = {1272--1317},
issn = {0360-5302},
mrclass = {35K20 (35B35 35B45 60H15 82C70)},
mrnumber = {2450159},
mrreviewer = {C\'{e}dric Villani},
doi = {10.1080/03605300801970952},
url = {https://doi.org/10.1080/03605300801970952}
}
@Article{ le-doussal.wiese:09:driven,
author = {Le Doussal, Pierre and Wiese, Kay J\"{o}rg},
title = {Driven particle in a random landscape: disorder
correlator, avalanche distribution, and extreme value
statistics of records},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {79},
year = {2009},
number = {5},
pages = {051105, 40},
issn = {1539-3755},
mrclass = {82C31 (62G32)},
mrnumber = {2551403},
doi = {10.1103/PhysRevE.79.051105},
url = {https://doi.org/10.1103/PhysRevE.79.051105}
}
@InCollection{ le-gall.miermont:12:scaling,
author = {Le Gall, Jean-Fran\c{c}ois and Miermont, Gr\'{e}gory},
title = {Scaling limits of random trees and planar maps},
booktitle = {Probability and statistical physics in two and more
dimensions},
series = {Clay Math. Proc.},
volume = {15},
pages = {155--211},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2012},
mrclass = {60J80 (60J68)},
mrnumber = {3025391},
mrreviewer = {Jos\'{e} Villa-Morales}
}
@Article{ le-gall.mytnik:05:stochastic,
author = {Le Gall, Jean-Fran\c{c}ois and Mytnik, Leonid},
title = {Stochastic integral representation and regularity of the
density for the exit measure of super-{B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {1},
pages = {194--222},
issn = {0091-1798},
mrclass = {60G57 (35J65 60G17 60J80)},
mrnumber = {2118864},
mrreviewer = {Peter M\"{o}rters},
doi = {10.1214/009117904000000612},
url = {https://doi.org/10.1214/009117904000000612}
}
@Article{ le-gall.rosen.ea:89:multiple,
author = {Le Gall, Jean-Fran\c{c}ois and Rosen, Jay S. and Shieh,
Narn-Rueih},
title = {Multiple points of {L}\'{e}vy processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {17},
year = {1989},
number = {2},
pages = {503--515},
issn = {0091-1798},
mrclass = {60J30},
mrnumber = {985375},
mrreviewer = {Steven N. Evans},
url = {http://links.jstor.org/sici?sici=0091-1798(198904)17:2<503:MPOLP>2.0.CO;2-Q&origin=MSN}
}
@Article{ le-gall.rosen:91:range,
author = {Le Gall, Jean-Fran\c{c}ois and Rosen, Jay},
title = {The range of stable random walks},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {19},
year = {1991},
number = {2},
pages = {650--705},
issn = {0091-1798},
mrclass = {60J15},
mrnumber = {1106281},
mrreviewer = {W. E. Pruitt},
url = {http://links.jstor.org/sici?sici=0091-1798(199104)19:2<650:TROSRW>2.0.CO;2-P&origin=MSN}
}
@Article{ le-gall:18:subordination,
author = {Le Gall, Jean-Fran\c{c}ois},
title = {Subordination of trees and the {B}rownian map},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {171},
year = {2018},
number = {3-4},
pages = {819--864},
issn = {0178-8051},
mrclass = {60J80 (60D05)},
mrnumber = {3827223},
mrreviewer = {David A. Croydon},
doi = {10.1007/s00440-017-0794-9},
url = {https://doi.org/10.1007/s00440-017-0794-9}
}
@InCollection{ le-gall:94:exponential,
author = {Le Gall, Jean-Fran\c{c}ois},
title = {Exponential moments for the renormalized self-intersection
local time of planar {B}rownian motion},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXVIII}},
series = {Lecture Notes in Math.},
volume = {1583},
pages = {172--180},
publisher = {Springer, Berlin},
year = {1994},
mrclass = {60J55 (60J65)},
mrnumber = {1329112},
mrreviewer = {Paul McGill},
doi = {10.1007/BFb0073845},
url = {https://doi.org/10.1007/BFb0073845}
}
@Article{ le-gall:95:brownian,
author = {Le Gall, Jean-Fran\c{c}ois},
title = {The {B}rownian snake and solutions of {$\Delta u=u^2$} in
a domain},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {102},
year = {1995},
number = {3},
pages = {393--432},
issn = {0178-8051},
mrclass = {60J65 (60J25)},
mrnumber = {1339740},
mrreviewer = {E. B. Dynkin},
doi = {10.1007/BF01192468},
url = {https://doi.org/10.1007/BF01192468}
}
@Book{ le-gall:99:spatial,
author = {Le Gall, Jean-Fran\c{c}ois},
title = {Spatial branching processes, random snakes and partial
differential equations},
series = {Lectures in Mathematics ETH Z\"{u}rich},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {1999},
pages = {x+163},
isbn = {3-7643-6126-3},
mrclass = {60J80 (35B05 35J60 35R60 60G57 60J85 60K35)},
mrnumber = {1714707},
mrreviewer = {John Verzani},
doi = {10.1007/978-3-0348-8683-3},
url = {https://doi.org/10.1007/978-3-0348-8683-3}
}
@Article{ le-jan.sznitman:97:stochastic,
author = {Le Jan, Y. and Sznitman, A. S.},
title = {Stochastic cascades and {$3$}-dimensional
{N}avier-{S}tokes equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {109},
year = {1997},
number = {3},
pages = {343--366},
issn = {0178-8051,1432-2064},
mrclass = {35Q30 (35R60 60J80 76D05 76M35)},
mrnumber = {1481125},
mrreviewer = {Peter\ E.\ Kloeden},
doi = {10.1007/s004400050135},
url = {https://doi.org/10.1007/s004400050135}
}
@Article{ le-jan:15:markov,
author = {Le Jan, Yves},
title = {Markov loops, free field and {E}ulerian networks},
journal = {J. Math. Soc. Japan},
fjournal = {Journal of the Mathematical Society of Japan},
volume = {67},
year = {2015},
number = {4},
pages = {1671--1680},
issn = {0025-5645},
mrclass = {60K99 (60G60 60J55)},
mrnumber = {3417508},
doi = {10.2969/jmsj/06741671},
url = {https://doi.org/10.2969/jmsj/06741671}
}
@Article{ le-jan:85:on,
author = {Le Jan, Yves},
title = {On isotropic {B}rownian motions},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {70},
year = {1985},
number = {4},
pages = {609--620},
issn = {0044-3719},
mrclass = {60J65 (60J25 60J30)},
mrnumber = {807340},
mrreviewer = {Xiang Qun Yang},
doi = {10.1007/BF00531870},
url = {https://doi.org/10.1007/BF00531870}
}
@Article{ le.kurt:25:global,
author = {Le, Minh and Kurt, Halil Ibrahim},
title = {Global boundedness in a chemotaxis-growth system with weak
singular sensitivity in any dimensional setting},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {86},
year = {2025},
pages = {Paper No. 104392, 11},
issn = {1468-1218},
mrclass = {35K55 (35B35 35K45 92C15 92C17)},
mrnumber = {4901575},
doi = {10.1016/j.nonrwa.2025.104392},
url = {https://doi.org/10.1016/j.nonrwa.2025.104392}
}
@Article{ le:16:remark,
author = {L\^{e}, Khoa},
title = {A remark on a result of {X}ia {C}hen},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {118},
year = {2016},
pages = {124--126},
issn = {0167-7152},
mrclass = {60H15 (60J65)},
mrnumber = {3531492},
mrreviewer = {Le Chen},
doi = {10.1016/j.spl.2016.06.004},
url = {https://doi.org/10.1016/j.spl.2016.06.004}
}
@Article{ leandre:87:minoration,
author = {L\'{e}andre, R\'{e}mi},
title = {Minoration en temps petit de la densit\'{e} d'une
diffusion d\'{e}g\'{e}n\'{e}r\'{e}e},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {74},
year = {1987},
number = {2},
pages = {399--414},
issn = {0022-1236},
mrclass = {60J60 (47D07 58G11 60H07)},
mrnumber = {904825},
mrreviewer = {Ana Bela Cruzeiro},
doi = {10.1016/0022-1236(87)90031-0},
url = {https://doi.org/10.1016/0022-1236(87)90031-0}
}
@Book{ lebedev:72:special,
author = {Lebedev, N. N.},
title = {Special functions and their applications},
note = {Revised edition, translated from the Russian and edited by
Richard A. Silverman, Unabridged and corrected
republication},
publisher = {Dover Publications, Inc., New York},
year = {1972},
pages = {xii+308},
mrclass = {33-XX (69.00)},
mrnumber = {350075}
}
@Article{ lebedev:95:behavior,
author = {Lebedev, V. A.},
title = {Behavior of random measures under a change of filtration},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Teoriya Veroyatnosteu{i} i
ee Primeneniya},
volume = {40},
year = {1995},
number = {4},
pages = {754--763},
issn = {0040-361X},
mrclass = {60G57},
mrnumber = {1405143},
mrreviewer = {Dominique L\'{e}pingle},
doi = {10.1137/1140074},
url = {https://doi.org/10.1137/1140074}
}
@Article{ leble.serfaty.ea:17:large,
author = {Lebl\'{e}, Thomas and Serfaty, Sylvia and Zeitouni, Ofer},
title = {Large deviations for the two-dimensional two-component
plasma},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {350},
year = {2017},
number = {1},
pages = {301--360},
issn = {0010-3616,1432-0916},
mrclass = {82D10 (60F10)},
mrnumber = {3606477},
doi = {10.1007/s00220-016-2735-3},
url = {https://doi.org/10.1007/s00220-016-2735-3}
}
@Article{ leble.zeitouni:21:local,
author = {Lebl\'{e}, Thomas and Zeitouni, Ofer},
title = {A local {CLT} for linear statistics of 2{D} {C}oulomb
gases},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {27},
year = {2021},
number = {4},
pages = {607--630},
issn = {1024-2953},
mrclass = {60F05 (60E10 82B21)},
mrnumber = {4396198}
}
@Article{ lebowitz.penrose:66:rigorous,
author = {Lebowitz, J. L. and Penrose, O.},
title = {Rigorous treatment of the van der {W}aals-{M}axwell theory
of the liquid-vapor transition},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {7},
year = {1966},
pages = {98--113},
issn = {0022-2488},
mrclass = {82.99},
mrnumber = {187835},
mrreviewer = {D. Ruelle},
doi = {10.1063/1.1704821},
url = {https://doi.org/10.1063/1.1704821}
}
@Article{ lebowitz.rose.ea:88:statistical,
author = {Lebowitz, Joel L. and Rose, Harvey A. and Speer, Eugene
R.},
title = {Statistical mechanics of the nonlinear {S}chr\"{o}dinger
equation},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {50},
year = {1988},
number = {3-4},
pages = {657--687},
issn = {0022-4715},
mrclass = {82A05 (35Q20 82A45)},
mrnumber = {939505},
mrreviewer = {Gerhard C. Hegerfeldt},
doi = {10.1007/BF01026495},
url = {https://doi.org/10.1007/BF01026495}
}
@Article{ lechiheb.nourdin.ea:18:convergence,
author = {Lechiheb, Atef and Nourdin, Ivan and Zheng, Guangqu and
Haouala, Ezzedine},
title = {Convergence of random oscillatory integrals in the
presence of long-range dependence and application to
homogenization},
note = {[On table of contents: Vol. 33 (2013)]},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {38},
year = {2018},
number = {2},
pages = {271--286},
issn = {0208-4147},
mrclass = {60F05 (60G10 60G15 60G18 60H05)},
mrnumber = {3896711},
mrreviewer = {Jos\'{e} Rafael Le\'{o}n},
doi = {10.19195/0208-4147.38.2.2},
url = {https://doi.org/10.19195/0208-4147.38.2.2}
}
@Article{ ledoit.peche:11:eigenvectors,
author = {Ledoit, Olivier and P\'ech\'e, Sandrine},
title = {Eigenvectors of some large sample covariance matrix
ensembles},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {151},
year = {2011},
number = {1-2},
pages = {233--264},
issn = {0178-8051,1432-2064},
mrclass = {60B20 (15B52 62H12 62J10)},
mrnumber = {2834718},
doi = {10.1007/s00440-010-0298-3},
url = {https://doi.org/10.1007/s00440-010-0298-3}
}
@Article{ ledoux.nourdin.ea:15:steins,
author = {Ledoux, Michel and Nourdin, Ivan and Peccati, Giovanni},
title = {Stein's method, logarithmic {S}obolev and transport
inequalities},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {25},
year = {2015},
number = {1},
pages = {256--306},
issn = {1016-443X},
mrclass = {60E15 (26D10 60B10)},
mrnumber = {3320893},
mrreviewer = {Fraser Alexander Daly},
doi = {10.1007/s00039-015-0312-0},
url = {https://doi.org/10.1007/s00039-015-0312-0}
}
@Article{ ledoux.nourdin.ea:17:stein,
author = {Ledoux, Michel and Nourdin, Ivan and Peccati, Giovanni},
title = {A {S}tein deficit for the logarithmic {S}obolev
inequality},
journal = {Sci. China Math.},
fjournal = {Science China. Mathematics},
volume = {60},
year = {2017},
number = {7},
pages = {1163--1180},
issn = {1674-7283},
mrclass = {60E15 (26D10 60B10)},
mrnumber = {3665794},
mrreviewer = {Hac\`ene Djellout},
doi = {10.1007/s11425-016-0134-7},
url = {https://doi.org/10.1007/s11425-016-0134-7}
}
@Article{ ledoux.rider:10:small,
author = {Ledoux, Michel and Rider, Brian},
title = {Small deviations for beta ensembles},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {15},
year = {2010},
pages = {no. 41, 1319--1343},
mrclass = {60B20 (60F99)},
mrnumber = {2678393},
mrreviewer = {Steven Joel Miller},
doi = {10.1214/EJP.v15-798},
url = {https://doi.org/10.1214/EJP.v15-798}
}
@Book{ ledoux.talagrand:91:probability,
author = {Ledoux, Michel and Talagrand, Michel},
title = {Probability in {B}anach spaces},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3)
[Results in Mathematics and Related Areas (3)]},
volume = {23},
note = {Isoperimetry and processes},
publisher = {Springer-Verlag, Berlin},
year = {1991},
pages = {xii+480},
isbn = {3-540-52013-9},
mrclass = {60-02 (60Bxx 60Fxx 60Gxx)},
mrnumber = {1102015},
mrreviewer = {Evarist Gin\'{e}},
doi = {10.1007/978-3-642-20212-4},
url = {https://doi.org/10.1007/978-3-642-20212-4}
}
@Book{ ledoux:01:concentration,
author = {Ledoux, Michel},
title = {The concentration of measure phenomenon},
series = {Mathematical Surveys and Monographs},
volume = {89},
publisher = {American Mathematical Society, Providence, RI},
year = {2001},
pages = {x+181},
isbn = {0-8218-2864-9},
mrclass = {28C15 (28A35 46B09 60E15 82B44)},
mrnumber = {1849347},
mrreviewer = {Werner Linde},
doi = {10.1090/surv/089},
url = {https://doi.org/10.1090/surv/089}
}
@InCollection{ ledoux:96:isoperimetry,
author = {Ledoux, Michel},
title = {Isoperimetry and {G}aussian analysis},
booktitle = {Lectures on probability theory and statistics
({S}aint-{F}lour, 1994)},
series = {Lecture Notes in Math.},
volume = {1648},
pages = {165--294},
publisher = {Springer, Berlin},
year = {1996},
mrclass = {60-02 (60E15 60F10 60G15)},
mrnumber = {1600888},
mrreviewer = {Qi Man Shao},
doi = {10.1007/BFb0095676},
url = {https://doi.org/10.1007/BFb0095676}
}
@Article{ lee.hillen.ea:08:continuous,
author = {Lee, J. M. and Hillen, T. and Lewis, M. A.},
title = {Continuous traveling waves for prey-taxis},
journal = {Bull. Math. Biol.},
fjournal = {Bulletin of Mathematical Biology. A Journal Devoted to
Research at the Interface of the Life and Mathematical
Sciences},
volume = {70},
year = {2008},
number = {3},
pages = {654--676},
issn = {0092-8240},
mrclass = {92D40 (35K57 92D25)},
mrnumber = {2393022},
mrreviewer = {J. M. Cushing},
doi = {10.1007/s11538-007-9271-4},
url = {https://doi.org/10.1007/s11538-007-9271-4}
}
@Article{ lee.leung:17:norm-attaining,
author = {Lee, Cheuk-Yin and Leung, Chi-Wai},
title = {Norm-attaining property for a dual pair of {B}anach
spaces},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {445},
year = {2017},
number = {1},
pages = {556--563},
issn = {0022-247X},
mrclass = {46B20},
mrnumber = {3543782},
mrreviewer = {Mik\^{a}il Et},
doi = {10.1016/j.jmaa.2016.07.063},
url = {https://doi.org/10.1016/j.jmaa.2016.07.063}
}
@Article{ lee.leung:23:regularity,
author = {Lee, Cheuk-Yin and Leung, Chi-Wai},
title = {Regularity of certain commutative {B}anach rings},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {517},
year = {2023},
number = {1},
pages = {Paper No. 126589, 10},
issn = {0022-247X},
mrclass = {46J05 (46J10)},
mrnumber = {4470741},
doi = {10.1016/j.jmaa.2022.126589},
url = {https://doi.org/10.1016/j.jmaa.2022.126589}
}
@Article{ lee.mueller.ea:09:some,
author = {Lee, Kijung and Mueller, Carl and Xiong, Jie},
title = {Some properties of superprocesses under a stochastic
flow},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {45},
year = {2009},
number = {2},
pages = {477--490},
issn = {0246-0203},
mrclass = {60J68 (60G57 60H15 60J80)},
mrnumber = {2521410},
mrreviewer = {Jos\'{e} Villa-Morales},
doi = {10.1214/08-AIHP171},
url = {https://doi.org/10.1214/08-AIHP171}
}
@Article{ lee.mueller.ea:20:hitting,
author = {Lee, Jong Jun and Mueller, Carl and Neuman, Eyal},
title = {Hitting probabilities of a {B}rownian flow with radial
drift},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {2},
pages = {646--671},
issn = {0091-1798},
mrclass = {60H10 (60J45 60J60)},
mrnumber = {4089490},
mrreviewer = {Olga V. Aryasova},
doi = {10.1214/19-AOP1368},
url = {https://doi.org/10.1214/19-AOP1368}
}
@Article{ lee.song.ea:23:hitting,
author = {Lee, Cheuk Yin and Song, Jian and Xiao, Yimin and Yuan,
Wangjun},
title = {Hitting probabilities of {G}aussian random fields and
collision of eigenvalues of random matrices},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {376},
year = {2023},
number = {6},
pages = {4273--4299},
issn = {0002-9947,1088-6850},
mrclass = {60G15 (60B20 60G17 60G22 60G60)},
mrnumber = {4586811},
doi = {10.1090/tran/8895},
url = {https://doi.org/10.1090/tran/8895}
}
@Article{ lee.xiao:19:local,
author = {Lee, Cheuk Yin and Xiao, Yimin},
title = {Local nondeterminism and the exact modulus of continuity
for stochastic wave equation},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {24},
year = {2019},
pages = {Paper No. 52, 8},
mrclass = {60G15 (60G17 60H15)},
mrnumber = {4003126},
mrreviewer = {Seiichiro Kusuoka},
doi = {10.1214/19-ecp264},
url = {https://doi.org/10.1214/19-ecp264}
}
@Article{ lee.xiao:22:propagation,
author = {Lee, Cheuk Yin and Xiao, Yimin},
title = {Propagation of singularities for the stochastic wave
equation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {143},
year = {2022},
pages = {31--54},
issn = {0304-4149},
mrclass = {60H15 (60G17)},
mrnumber = {4332774},
mrreviewer = {Kunwoo Kim},
doi = {10.1016/j.spa.2021.09.013},
url = {https://doi.org/10.1016/j.spa.2021.09.013}
}
@Article{ lee.xiao:23:chung-type,
author = {Lee, Cheuk Yin and Xiao, Yimin},
title = {Chung-type law of the iterated logarithm and exact moduli
of continuity for a class of anisotropic {G}aussian random
fields},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {29},
year = {2023},
number = {1},
pages = {523--550},
issn = {1350-7265},
mrclass = {60G15 (60F15 60G17 60G60)},
mrnumber = {4497257},
doi = {10.3150/22-bej1467},
url = {https://doi.org/10.3150/22-bej1467}
}
@Article{ lee.xiao:23:local,
title = {Local times of anisotropic Gaussian random fields and
stochastic heat equation},
author = {Cheuk Yin Lee and Yimin Xiao},
year = {2023},
month = {August},
journal = {Preprint arXiv:2308.13732},
url = {http://arXiv.org/abs/2308.13732}
}
@Article{ lee.yang:52:statistical,
author = {Lee, T. D. and Yang, C. N.},
title = {Statistical theory of equations of state and phase
transitions. {II}. {L}attice gas and {I}sing model},
journal = {Phys. Rev. (2)},
fjournal = {Physical Review. Series II},
volume = {87},
year = {1952},
pages = {410--419},
issn = {0031-899X},
mrclass = {80.1X},
mrnumber = {53029},
mrreviewer = {L. Van Hove}
}
@Book{ lee:20:sample,
author = {Lee, Cheuk Yin},
title = {Sample {P}ath {P}roperties of {G}aussian {R}andom {F}ields
and {S}tochastic {P}artial {D}ifferential {E}quations},
note = {Thesis (Ph.D.)--Michigan State University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2020},
pages = {147},
isbn = {979-8617-04072-4},
mrclass = {Thesis},
mrnumber = {4119921},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:27994271}
}
@Article{ lee:22:hausdorff,
author = {Lee, Cheuk Yin},
title = {The {H}ausdorff measure of the range and level sets of
{G}aussian random fields with sectorial local
nondeterminism},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {28},
year = {2022},
number = {1},
pages = {277--306},
issn = {1350-7265},
mrclass = {60G15 (60G17 60G60)},
mrnumber = {4337706},
mrreviewer = {Anatoliy Malyarenko},
doi = {10.3150/21-bej1342},
url = {https://doi.org/10.3150/21-bej1342}
}
@Article{ lee:22:local,
author = {Lee, Cheuk Yin},
title = {Local nondeterminism and local times of the stochastic
wave equation driven by fractional-colored noise},
journal = {J. Fourier Anal. Appl.},
fjournal = {The Journal of Fourier Analysis and Applications},
volume = {28},
year = {2022},
number = {2},
pages = {Paper No. 26, 38},
issn = {1069-5869},
mrclass = {60G15 (60H15 60J55)},
mrnumber = {4397191},
doi = {10.1007/s00041-022-09914-w},
url = {https://doi.org/10.1007/s00041-022-09914-w}
}
@Book{ lee:81:particle,
author = {Lee, T. D.},
title = {Particle physics and introduction to field theory},
series = {Contemporary Concepts in Physics},
volume = {1},
note = {Translated from the Chinese},
publisher = {Harwood Academic Publishers, Chur},
year = {1981},
pages = {xvii+865},
isbn = {3-7186-0032-3; 3-7186-0033-1},
mrclass = {81-01 (81Gxx)},
mrnumber = {633154},
mrreviewer = {R. Delbourgo}
}
@Article{ lefevere.mariani.ea:11:large,
author = {Lefevere, Rapha\"{e}l and Mariani, Mauro and Zambotti,
Lorenzo},
title = {Large deviations for renewal processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {10},
pages = {2243--2271},
issn = {0304-4149,1879-209X},
mrclass = {60F10 (60K05)},
mrnumber = {2822776},
doi = {10.1016/j.spa.2011.06.005},
url = {https://doi.org/10.1016/j.spa.2011.06.005}
}
@Article{ lefevere.mariani.ea:11:large*1,
author = {Lefevere, Rapha\"{e}l and Mariani, Mauro and Zambotti,
Lorenzo},
title = {Large deviations of the current in stochastic collisional
dynamics},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {52},
year = {2011},
number = {3},
pages = {033302, 22},
issn = {0022-2488,1089-7658},
mrclass = {60F10 (82C31)},
mrnumber = {2814865},
mrreviewer = {Rapha\"{e}l\ Cerf},
doi = {10.1063/1.3567169},
url = {https://doi.org/10.1063/1.3567169}
}
@Article{ lefevere.mariani.ea:12:large,
author = {Lefevere, Rapha\"{e}l and Mariani, Mauro and Zambotti,
Lorenzo},
title = {Large deviations for a random speed particle},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {9},
year = {2012},
number = {2},
pages = {739--760},
issn = {1980-0436},
mrclass = {60F10 (60K05 70B05)},
mrnumber = {3069383}
}
@Article{ lefevere.zambotti:10:hot,
author = {Lefevere, Rapha\"{e}l and Zambotti, Lorenzo},
title = {Hot scatterers and tracers for the transfer of heat in
collisional dynamics},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {139},
year = {2010},
number = {4},
pages = {686--713},
issn = {0022-4715,1572-9613},
mrclass = {82C70 (82C31)},
mrnumber = {2638933},
mrreviewer = {Christian\ Dogbe},
doi = {10.1007/s10955-010-9962-3},
url = {https://doi.org/10.1007/s10955-010-9962-3}
}
@Article{ lehec:13:representation,
author = {Lehec, Joseph},
title = {Representation formula for the entropy and functional
inequalities},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {49},
year = {2013},
number = {3},
pages = {885--899},
issn = {0246-0203},
mrclass = {60J65 (39B62 60J70)},
mrnumber = {3112438},
doi = {10.1214/11-aihp464},
url = {https://doi.org/10.1214/11-aihp464}
}
@Article{ lehec:14:short,
author = {Lehec, Joseph},
title = {Short probabilistic proof of the {B}rascamp-{L}ieb and
{B}arthe theorems},
journal = {Canad. Math. Bull.},
fjournal = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'{e}matiques},
volume = {57},
year = {2014},
number = {3},
pages = {585--597},
issn = {0008-4395},
mrclass = {39B62 (60J65)},
mrnumber = {3239122},
doi = {10.4153/CMB-2013-040-x},
url = {https://doi.org/10.4153/CMB-2013-040-x}
}
@Article{ lei.nualart:09:decomposition,
author = {Lei, Pedro and Nualart, David},
title = {A decomposition of the bifractional {B}rownian motion and
some applications},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {79},
year = {2009},
number = {5},
pages = {619--624},
issn = {0167-7152},
mrclass = {60G22 (60G17 60H05)},
mrnumber = {2499385},
mrreviewer = {N. Leonenko},
doi = {10.1016/j.spl.2008.10.009},
url = {https://doi.org/10.1016/j.spl.2008.10.009}
}
@Article{ lei.nualart:12:stochastic,
author = {Lei, Pedro and Nualart, David},
title = {Stochastic calculus for {G}aussian processes and
application to hitting times},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {6},
year = {2012},
number = {3},
pages = {379--402},
mrclass = {60H07 (60G15 60G18 60J55)},
mrnumber = {2988698},
mrreviewer = {No\`elia Viles}
}
@Book{ lemaitre.jean-louis:90:mechanics,
author = "Lemaitre, Jean and Jean-Louis, Chaboche",
title = "Mechanics of Solid Materials",
publisher = "Cambridge University Press",
year = "1990",
month = "02",
doi = "10.1017/cbo9781139167970",
url = "https://cir.nii.ac.jp/crid/1360011145309511936"
}
@Article{ leon.liu.ea:24:euler,
author = {Le\'on, Jorge A. and Liu, Yanghui and Tindel, Samy},
title = {Euler scheme for {SDE}s driven by fractional {B}rownian
motions: {M}alliavin differentiability and uniform
upper-bound estimates},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {175},
year = {2024},
pages = {Paper No. 104412, 20},
issn = {0304-4149,1879-209X},
mrclass = {60H35 (60G22 60H07 60H10 65C30)},
mrnumber = {4762076},
mrreviewer = {Antoine\ J.\ Lejay},
doi = {10.1016/j.spa.2024.104412},
url = {https://doi.org/10.1016/j.spa.2024.104412}
}
@Article{ leon.liu.ea:25:euler,
author = {Le\'on, Jorge A. and Liu, Yanghui and Tindel, Samy},
title = {Euler scheme for {SDE}s driven by fractional {B}rownian
motions: integrability and convergence in law},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {35},
year = {2025},
number = {3},
pages = {1869--1912},
issn = {1050-5164,2168-8737},
mrclass = {60H35 (60F05 60G22 60H07 60H10 60L20 65C30)},
mrnumber = {4921346},
doi = {10.1214/25-AAP2161},
url = {https://doi.org/10.1214/25-AAP2161}
}
@InCollection{ leon.navarro.ea:03:anticipating,
author = {Le\'{o}n, Jorge A. and Navarro, Reyla and Nualart, David},
title = {An anticipating calculus approach to the utility
maximization of an insider},
note = {Conference on Applications of Malliavin Calculus in
Finance (Rocquencourt, 2001)},
journal = {Math. Finance},
fjournal = {Mathematical Finance. An International Journal of
Mathematics, Statistics and Financial Economics},
volume = {13},
year = {2003},
number = {1},
pages = {171--185},
issn = {0960-1627},
mrclass = {91B26 (60H07)},
mrnumber = {1968103},
doi = {10.1111/1467-9965.00012},
url = {https://doi.org/10.1111/1467-9965.00012}
}
@Article{ leon.nualart.ea:00:stochastic,
author = {Le\'{o}n, Jorge A. and Nualart, D. and Pettersson, Roger},
title = {The stochastic {B}urgers equation: finite moments and
smoothness of the density},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {3},
year = {2000},
number = {3},
pages = {363--385},
issn = {0219-0257},
mrclass = {60H15 (35Q53 35R60)},
mrnumber = {1811248},
mrreviewer = {Azzouz Dermoune},
doi = {10.1016/S0219-0257(00)00028-5},
url = {https://doi.org/10.1016/S0219-0257(00)00028-5}
}
@Article{ leon.nualart.ea:17:young,
author = {Le\'{o}n, Jorge A. and Nualart, David and Tindel, Samy},
title = {Young differential equations with power type
nonlinearities},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {9},
pages = {3042--3067},
issn = {0304-4149},
mrclass = {60H10 (26A33 45J05 60G22)},
mrnumber = {3682123},
mrreviewer = {Mireia Besal\'{u}},
doi = {10.1016/j.spa.2017.01.007},
url = {https://doi.org/10.1016/j.spa.2017.01.007}
}
@Article{ leon.nualart:00:anticipating,
author = {Le\'{o}n, Jorge A. and Nualart, David},
title = {Anticipating integral equations},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {13},
year = {2000},
number = {3},
pages = {249--268},
issn = {0926-2601},
mrclass = {60H07 (60H20)},
mrnumber = {1800375},
mrreviewer = {Nicolas Privault},
doi = {10.1023/A:1008721318212},
url = {https://doi.org/10.1023/A:1008721318212}
}
@Article{ leon.nualart:05:extension,
author = {Le\'{o}n, Jorge A. and Nualart, David},
title = {An extension of the divergence operator for {G}aussian
processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {115},
year = {2005},
number = {3},
pages = {481--492},
issn = {0304-4149},
mrclass = {60H07 (60G15 60H05)},
mrnumber = {2118289},
mrreviewer = {J. H\"{u}sler},
doi = {10.1016/j.spa.2004.09.008},
url = {https://doi.org/10.1016/j.spa.2004.09.008}
}
@Article{ leon.nualart:06:clark-ocone,
author = {Le\'{o}n, Jorge A. and Nualart, David},
title = {Clark-{O}cone formula for fractional {B}rownian motion
with {H}urst parameter less than 1/2},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {24},
year = {2006},
number = {2},
pages = {427--449},
issn = {0736-2994},
mrclass = {60H07 (60H05)},
mrnumber = {2204721},
mrreviewer = {Michal Vyoral},
doi = {10.1080/07362990500522460},
url = {https://doi.org/10.1080/07362990500522460}
}
@Article{ leon.nualart:98:stochastic,
author = {Le\'{o}n, Jorge A. and Nualart, David},
title = {Stochastic evolution equations with random generators},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {26},
year = {1998},
number = {1},
pages = {149--186},
issn = {0091-1798},
mrclass = {60H15 (60H07 60H10)},
mrnumber = {1617045},
mrreviewer = {Catherine Donati-Martin},
doi = {10.1214/aop/1022855415},
url = {https://doi.org/10.1214/aop/1022855415}
}
@Article{ leon.tindel:08:itos,
author = {Le\'{o}n, Jorge A. and Tindel, Samy},
title = {It\^{o}'s formula for linear fractional {PDE}s},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {80},
year = {2008},
number = {5},
pages = {427--450},
issn = {1744-2508},
mrclass = {60H15 (60G15 60H07)},
mrnumber = {2456330},
mrreviewer = {Bohdan Maslowski},
doi = {10.1080/17442500701661687},
url = {https://doi.org/10.1080/17442500701661687}
}
@Article{ leon.tindel:12:malliavin,
author = {Le\'{o}n, Jorge A. and Tindel, Samy},
title = {Malliavin calculus for fractional delay equations},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {25},
year = {2012},
number = {3},
pages = {854--889},
issn = {0894-9840},
mrclass = {60H10 (60G22 60H05 60H07)},
mrnumber = {2956216},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1007/s10959-011-0349-4},
url = {https://doi.org/10.1007/s10959-011-0349-4}
}
@Article{ leon.villa:11:osgood,
author = {Le\'{o}n, Jorge A. and Villa, Jos\'{e}},
title = {An {O}sgood criterion for integral equations with
applications to stochastic differential equations with an
additive noise},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {81},
year = {2011},
number = {4},
pages = {470--477},
issn = {0167-7152},
mrclass = {60H10 (60G22)},
mrnumber = {2765167},
mrreviewer = {Victoria Knopova},
doi = {10.1016/j.spl.2010.12.001},
url = {https://doi.org/10.1016/j.spl.2010.12.001}
}
@Article{ leoncini.zaslavsky:02:jets,
author = {Leoncini, Xavier and Zaslavsky, George M.},
title = {Jets, stickiness, and anomalous transport},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {65},
year = {2002},
number = {4},
pages = {046216, 16},
issn = {1539-3755},
mrclass = {76F25 (76D17 76F20)},
mrnumber = {1918005},
doi = {10.1103/PhysRevE.65.046216},
url = {https://doi.org/10.1103/PhysRevE.65.046216}
}
@Article{ leonenko.ruiz-medina.ea:11:fractional,
author = {Leonenko, N. N. and Ruiz-Medina, M. D. and Taqqu, M. S.},
title = {Fractional elliptic, hyperbolic and parabolic random
fields},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
pages = {no. 40, 1134--1172},
mrclass = {60G60 (35R11 35R60 60G18 60G20 60G22 60H15)},
mrnumber = {2820073},
mrreviewer = {Mirko D'Ovidio},
doi = {10.1214/EJP.v16-891},
url = {https://doi.org/10.1214/EJP.v16-891}
}
@Book{ leoni:17:first,
author = {Leoni, Giovanni},
title = {A first course in {S}obolev spaces},
series = {Graduate Studies in Mathematics},
volume = {181},
edition = {Second},
publisher = {American Mathematical Society, Providence, RI},
year = {2017},
pages = {xxii+734},
isbn = {978-1-4704-2921-8},
mrclass = {46E35 (26Axx 26B30 28A78 46-01)},
mrnumber = {3726909},
doi = {10.1090/gsm/181},
url = {https://doi.org/10.1090/gsm/181}
}
@Article{ lepin:90:self-similar,
author = {Lepin, L. A.},
title = {Self-similar solutions of a semilinear heat equation},
journal = {Mat. Model.},
fjournal = {Matematicheskoe Modelirovanie},
volume = {2},
year = {1990},
number = {3},
pages = {63--74},
issn = {0234-0879},
mrclass = {35K60 (35B05)},
mrnumber = {1059601},
mrreviewer = {Reinhard Redlinger}
}
@Article{ lepingle.nualart.ea:89:derivation,
author = {L\'{e}pingle, Dominique and Nualart, David and Sanz,
Marta},
title = {D\'{e}rivation stochastique de diffusions
r\'{e}fl\'{e}chies},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {25},
year = {1989},
number = {3},
pages = {283--305},
issn = {0246-0203},
mrclass = {60H10 (60G99 60H99 60J60)},
mrnumber = {1023953},
mrreviewer = {Annie Millet},
url = {http://www.numdam.org/item?id=AIHPB_1989__25_3_283_0}
}
@Article{ lepingle.ouvrard:73:martingales,
author = {L\'{e}pingle, Dominique and Ouvrard, Jean-Yves},
title = {Martingales browniennes hilbertiennes},
journal = {C. R. Acad. Sci. Paris S\'{e}r. A-B},
fjournal = {Comptes Rendus Hebdomadaires des S\'{e}ances de
l'Acad\'{e}mie des Sciences. S\'{e}ries A et B},
volume = {276},
year = {1973},
pages = {A1225--A1228},
issn = {0151-0509},
mrclass = {60H05},
mrnumber = {317406},
mrreviewer = {J. L. Doob}
}
@Article{ lesigne.volny:01:large,
author = {Lesigne, Emmanuel and Voln\'{y}, Dalibor},
title = {Large deviations for martingales},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {96},
year = {2001},
number = {1},
pages = {143--159},
issn = {0304-4149},
mrclass = {60F10 (28D05 60G10 60G42 60G50)},
mrnumber = {1856684},
mrreviewer = {B. S. Nahapetian},
doi = {10.1016/S0304-4149(01)00112-0},
url = {https://doi.org/10.1016/S0304-4149(01)00112-0}
}
@Article{ leung.li.ea:08:spectral,
author = {Leung, Yuk J. and Li, Wenbo V. and Rakesh},
title = {Spectral analysis of {B}rownian motion with jump
boundary},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {136},
year = {2008},
number = {12},
pages = {4427--4436},
issn = {0002-9939,1088-6826},
mrclass = {30D10 (47D07 60B10 60J35)},
mrnumber = {2431059},
mrreviewer = {On\'{e}simo\ Hern\'{a}ndez Lerma},
doi = {10.1090/S0002-9939-08-09451-3},
url = {https://doi.org/10.1090/S0002-9939-08-09451-3}
}
@Book{ leung:89:systems,
author = {Leung, Anthony W.},
title = {Systems of nonlinear partial differential equations},
series = {Mathematics and its Applications},
note = {Applications to biology and engineering},
publisher = {Kluwer Academic Publishers, Dordrecht},
year = {1989},
pages = {xiv+409},
isbn = {0-7923-0138-2},
mrclass = {35Q80 (35K57 65M06)},
mrnumber = {1621827},
mrreviewer = {Ying Guo Lei},
doi = {10.1007/978-94-015-3937-1},
url = {https://doi.org/10.1007/978-94-015-3937-1}
}
@Article{ levanony.schwartz.ea:93:uniform,
author = {Levanony, David and Schwartz, Adam and Zeitouni, Ofer},
title = {Uniform decay and equicontinuity for normalized, parameter
dependent, {I}t\^{o} integrals},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {43},
year = {1993},
number = {1-2},
pages = {9--28},
issn = {1045-1129},
mrclass = {60H05 (62M05)},
mrnumber = {1276921},
mrreviewer = {Vivek\ S.\ Borkar},
doi = {10.1080/17442509308833825},
url = {https://doi.org/10.1080/17442509308833825}
}
@Article{ levanony.shwartz.ea:94:recursive,
author = {Levanony, David and Shwartz, Adam and Zeitouni, Ofer},
title = {Recursive identification in continuous-time stochastic
processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {49},
year = {1994},
number = {2},
pages = {245--275},
issn = {0304-4149,1879-209X},
mrclass = {62M05 (60H10 93E12)},
mrnumber = {1260193},
mrreviewer = {Shao\ Zhong\ Cheng},
doi = {10.1016/0304-4149(94)90137-6},
url = {https://doi.org/10.1016/0304-4149(94)90137-6}
}
@Article{ levi.zeuituni.ea:09:central,
author = {Levi, N. and Zeu{i}tuni, O. and Shamai, Sh.},
title = {The central limit theorem and large deviations of the
fading {W}yner cellular model using the methods of the
theory of the product of random matrices},
journal = {Problemy Peredachi Informatsii},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Problemy Peredachi
Informatsii},
volume = {45},
year = {2009},
number = {1},
pages = {8--26},
issn = {0555-2923},
mrclass = {94A40 (15B52 60F05)},
mrnumber = {2513159},
doi = {10.1134/S0032946009010025},
url = {https://doi.org/10.1134/S0032946009010025}
}
@Article{ levine.park.ea:98:global,
author = {Levine, Howard A. and Park, Sang Ro and Serrin, James},
title = {Global existence and nonexistence theorems for quasilinear
evolution equations of formally parabolic type},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {142},
year = {1998},
number = {1},
pages = {212--229},
issn = {0022-0396},
mrclass = {35K55 (34G20)},
mrnumber = {1492883},
mrreviewer = {Nicolae H. Pavel},
doi = {10.1006/jdeq.1997.3362},
url = {https://doi.org/10.1006/jdeq.1997.3362}
}
@Article{ levine.payne:76:nonexistence,
author = {Levine, Howard A. and Payne, Lawrence E.},
title = {Nonexistence of global weak solutions for classes of
nonlinear wave and parabolic equations},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {55},
year = {1976},
number = {2},
pages = {329--334},
issn = {0022-247X},
mrclass = {35D05 (35G25)},
mrnumber = {412575},
mrreviewer = {Jerome Eisenfeld},
doi = {10.1016/0022-247X(76)90163-3},
url = {https://doi.org/10.1016/0022-247X(76)90163-3}
}
@Article{ levine.sleeman:97:system,
author = {Levine, Howard A. and Sleeman, Brian D.},
title = {A system of reaction diffusion equations arising in the
theory of reinforced random walks},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {57},
year = {1997},
number = {3},
pages = {683--730},
issn = {0036-1399},
mrclass = {35K57 (60J15 92C45)},
mrnumber = {1450846},
mrreviewer = {Joerg-Uwe Loebus},
doi = {10.1137/S0036139995291106},
url = {https://doi.org/10.1137/S0036139995291106}
}
@Article{ levine:73:some,
author = {Levine, Howard A.},
title = {Some nonexistence and instability theorems for solutions
of formally parabolic equations of the form
{$Pu_{t}=-Au+\mathscr{F}(u)$}},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {51},
year = {1973},
pages = {371--386},
issn = {0003-9527},
mrclass = {34G05 (35K30)},
mrnumber = {348216},
mrreviewer = {M. H. Protter},
doi = {10.1007/BF00263041},
url = {https://doi.org/10.1007/BF00263041}
}
@Article{ levine:89:quenching,
author = {Levine, Howard A.},
title = {Quenching, nonquenching, and beyond quenching for solution
of some parabolic equations},
journal = {Ann. Mat. Pura Appl. (4)},
fjournal = {Annali di Matematica Pura ed Applicata. Serie Quarta},
volume = {155},
year = {1989},
pages = {243--260},
issn = {0003-4622},
mrclass = {35B05 (35K60)},
mrnumber = {1042837},
mrreviewer = {Otared Kavian},
doi = {10.1007/BF01765943},
url = {https://doi.org/10.1007/BF01765943}
}
@Article{ levine:90:role,
author = {Levine, Howard A.},
title = {The role of critical exponents in blowup theorems},
journal = {SIAM Rev.},
fjournal = {SIAM Review. A Publication of the Society for Industrial
and Applied Mathematics},
volume = {32},
year = {1990},
number = {2},
pages = {262--288},
issn = {0036-1445},
mrclass = {35K55 (35B05)},
mrnumber = {1056055},
mrreviewer = {Victor A. Galaktionov},
doi = {10.1137/1032046},
url = {https://doi.org/10.1137/1032046}
}
@Book{ levitan.sargsjan:75:introduction,
author = {Levitan, B. M. and Sargsjan, I. S.},
title = {Introduction to spectral theory: selfadjoint ordinary
differential operators},
series = {Translations of Mathematical Monographs, Vol. 39},
note = {Translated from the Russian by Amiel Feinstein},
publisher = {American Mathematical Society, Providence, RI},
year = {1975},
pages = {xi+525},
mrclass = {34B25 (35PXX 47A10)},
mrnumber = {369797}
}
@Article{ levy.somekh.ea:09:on,
author = {Levy, Nathan and Somekh, Oren and Shamai, Shlomo and
Zeitouni, Ofer},
title = {On certain large random {H}ermitian {J}acobi matrices with
applications to wireless communications},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {55},
year = {2009},
number = {4},
pages = {1534--1554},
issn = {0018-9448,1557-9654},
mrclass = {94A05 (15B52)},
mrnumber = {2582744},
doi = {10.1109/TIT.2009.2013046},
url = {https://doi.org/10.1109/TIT.2009.2013046}
}
@Article{ levy.zeitouni.ea:10:on,
author = {Levy, Nathan and Zeitouni, Ofer and Shamai, Shlomo},
title = {On information rates of the fading {W}yner cellular model
via the {T}houless formula for the strip},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {56},
year = {2010},
number = {11},
pages = {5495--5514},
issn = {0018-9448,1557-9654},
mrclass = {94A12 (47B80 60B20 94A40)},
mrnumber = {2808590},
doi = {10.1109/TIT.2010.2070130},
url = {https://doi.org/10.1109/TIT.2010.2070130}
}
@Article{ lewin.nam.ea:14:derivation,
author = {Lewin, Mathieu and Nam, Phan Th\`anh and Rougerie,
Nicolas},
title = {Derivation of {H}artree's theory for generic mean-field
{B}ose systems},
journal = {Adv. Math.},
fjournal = {Advances in Mathematics},
volume = {254},
year = {2014},
pages = {570--621},
issn = {0001-8708},
mrclass = {81V70 (35Q40)},
mrnumber = {3161107},
mrreviewer = {Nenad Manojlovi\'{c}},
doi = {10.1016/j.aim.2013.12.010},
url = {https://doi.org/10.1016/j.aim.2013.12.010}
}
@Article{ lewin.nam.ea:15:derivation,
author = {Lewin, Mathieu and Nam, Phan Th\`anh and Rougerie,
Nicolas},
title = {Derivation of nonlinear {G}ibbs measures from many-body
quantum mechanics},
journal = {J. \'{E}c. polytech. Math.},
fjournal = {Journal de l'\'{E}cole polytechnique. Math\'{e}matiques},
volume = {2},
year = {2015},
pages = {65--115},
issn = {2429-7100},
mrclass = {81V70 (35Q40)},
mrnumber = {3366672},
mrreviewer = {Paul F. Bracken},
doi = {10.5802/jep.18},
url = {https://doi.org/10.5802/jep.18}
}
@Article{ lewin.nam.ea:16:mean-field,
author = {Lewin, Mathieu and Nam, Phan Th\`anh and Rougerie,
Nicolas},
title = {The mean-field approximation and the non-linear
{S}chr\"{o}dinger functional for trapped {B}ose gases},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {368},
year = {2016},
number = {9},
pages = {6131--6157},
issn = {0002-9947},
mrclass = {35Q40 (35Q82)},
mrnumber = {3461029},
mrreviewer = {Giuseppe Genovese},
doi = {10.1090/tran/6537},
url = {https://doi.org/10.1090/tran/6537}
}
@Article{ lewin.nam.ea:17:note,
author = {Lewin, Mathieu and Nam, Phan Th\`anh and Rougerie,
Nicolas},
title = {A note on 2{D} focusing many-boson systems},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {145},
year = {2017},
number = {6},
pages = {2441--2454},
issn = {0002-9939},
mrclass = {81V70 (35Q40)},
mrnumber = {3626502},
mrreviewer = {Paul F. Bracken},
doi = {10.1090/proc/13468},
url = {https://doi.org/10.1090/proc/13468}
}
@Article{ lewin.nam.ea:19:derivation,
author = {Lewin, Mathieu and Nam, Phan Th\`anh and Rougerie,
Nicolas},
title = {Derivation of renormalized {G}ibbs measures from
equilibrium many-body quantum {B}ose gases},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {60},
year = {2019},
number = {6},
pages = {061901, 11},
issn = {0022-2488},
mrclass = {82B10 (82D05)},
mrnumber = {3973100},
doi = {10.1063/1.5094331},
url = {https://doi.org/10.1063/1.5094331}
}
@Article{ lewin.nam.ea:21:classical,
author = {Lewin, Mathieu and Nam, Phan Th\`anh and Rougerie,
Nicolas},
title = {Classical field theory limit of many-body quantum {G}ibbs
states in 2{D} and 3{D}},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {224},
year = {2021},
number = {2},
pages = {315--444},
issn = {0020-9910},
mrclass = {81V70 (35Q55 82B10)},
mrnumber = {4243017},
mrreviewer = {Paul F. Bracken},
doi = {10.1007/s00222-020-01010-4},
url = {https://doi.org/10.1007/s00222-020-01010-4}
}
@Article{ lewis.nualart:18:stochastic,
author = {Lewis, Peter and Nualart, David},
title = {Stochastic {B}urgers' equation on the real line:
regularity and moment estimates},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {90},
year = {2018},
number = {7},
pages = {1053--1086},
issn = {1744-2508},
mrclass = {60H15 (35Q53 35R60)},
mrnumber = {3854527},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1080/17442508.2018.1478834},
url = {https://doi.org/10.1080/17442508.2018.1478834}
}
@Article{ leyvraz:85:active,
author = {Leyvraz, Fran\c{c}ois},
title = {The ``active perimeter'' in cluster growth models: a
rigorous bound},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {18},
year = {1985},
number = {15},
pages = {L941--L945},
issn = {0305-4470},
mrclass = {82A43},
mrnumber = {814624},
url = {http://stacks.iop.org/0305-4470/18/L941}
}
@Article{ li.chen:19:precise,
author = {Li, Heyu and Chen, Xia},
title = {Precise moment asymptotics for the stochastic heat
equation of a time-derivative {G}aussian noise},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {39},
year = {2019},
number = {3},
pages = {629--644},
issn = {0252-9602},
mrclass = {60H15 (35K15 35R60 60F10)},
mrnumber = {4066497},
doi = {10.1007/s10473-019-0302-7},
url = {https://doi.org/10.1007/s10473-019-0302-7}
}
@Article{ li.hu.ea:23:mean,
author = {Li, Min and Hu, Yaozhong and Huang, Chengming and Wang,
Xiong},
title = {Mean square stability of stochastic theta method for
stochastic differential equations driven by fractional
{B}rownian motion},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {420},
year = {2023},
pages = {Paper No. 114804, 24},
issn = {0377-0427,1879-1778},
mrclass = {65C30 (34F05 60G22 60H10 65L20)},
mrnumber = {4488084},
mrreviewer = {Jialin\ Hong},
doi = {10.1016/j.cam.2022.114804},
url = {https://doi.org/10.1016/j.cam.2022.114804}
}
@Article{ li.huang.ea:21:asymptotic,
author = {Li, Min and Huang, Chengming and Hu, Yaozhong},
title = {Asymptotic separation for stochastic {V}olterra integral
equations with doubly singular kernels},
journal = {Appl. Math. Lett.},
fjournal = {Applied Mathematics Letters. An International Journal of
Rapid Publication},
volume = {113},
year = {2021},
pages = {Paper No. 106880, 7},
issn = {0893-9659},
mrclass = {60H20 (45D05 45E99 45M05)},
mrnumber = {4178948},
mrreviewer = {Anna Karczewska},
doi = {10.1016/j.aml.2020.106880},
url = {https://doi.org/10.1016/j.aml.2020.106880}
}
@Article{ li.huang.ea:22:numerical,
author = {Li, Min and Huang, Chengming and Hu, Yaozhong},
title = {Numerical methods for stochastic {V}olterra integral
equations with weakly singular kernels},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {42},
year = {2022},
number = {3},
pages = {2656--2683},
issn = {0272-4979,1464-3642},
mrclass = {65R20},
mrnumber = {4454933},
mrreviewer = {Mahadevan\ Ganesh},
doi = {10.1093/imanum/drab047},
url = {https://doi.org/10.1093/imanum/drab047}
}
@InCollection{ li.kuelbs:98:some,
author = {Li, Wenbo V. and Kuelbs, James},
title = {Some shift inequalities for {G}aussian measures},
booktitle = {High dimensional probability ({O}berwolfach, 1996)},
series = {Progr. Probab.},
volume = {43},
pages = {233--243},
publisher = {Birkh\"{a}user, Basel},
year = {1998},
isbn = {3-7643-5867-X},
mrclass = {60G15 (60B12 60E15)},
mrnumber = {1652329},
mrreviewer = {Werner\ Linde}
}
@Article{ li.li.ea:11:on,
author = {Li, Dong and Li, Tong and Zhao, Kun},
title = {On a hyperbolic-parabolic system modeling chemotaxis},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {21},
year = {2011},
number = {8},
pages = {1631--1650},
issn = {0218-2025},
mrclass = {35M31 (35A09 35B40 35B44 35Q92 92C17)},
mrnumber = {2826467},
mrreviewer = {Youshan Tao},
doi = {10.1142/S0218202511005519},
url = {https://doi.org/10.1142/S0218202511005519}
}
@Article{ li.liang.ea:16:diffusive,
author = {Li, Fang and Liang, Xing and Shen, Wenxian},
title = {Diffusive {KPP} equations with free boundaries in time
almost periodic environments: {II}. {S}preading speeds and
semi-wave solutions},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {261},
year = {2016},
number = {4},
pages = {2403--2445},
issn = {0022-0396,1090-2732},
mrclass = {35R35 (35B15 35K57 35K91 37L30 92B05)},
mrnumber = {3505195},
mrreviewer = {Alp\'{a}r\ R.\ M\'{e}sz\'{a}ros},
doi = {10.1016/j.jde.2016.04.035},
url = {https://doi.org/10.1016/j.jde.2016.04.035}
}
@Article{ li.liang.ea:16:diffusive*1,
author = {Li, Fang and Liang, Xing and Shen, Wenxian},
title = {Diffusive {KPP} equations with free boundaries in time
almost periodic environments: {I}. {S}preading and
vanishing dichotomy},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {36},
year = {2016},
number = {6},
pages = {3317--3338},
issn = {1078-0947,1553-5231},
mrclass = {35K57 (35B15 35K20 35R35 92D25)},
mrnumber = {3485439},
mrreviewer = {Alp\'{a}r\ R.\ M\'{e}sz\'{a}ros},
doi = {10.3934/dcds.2016.36.3317},
url = {https://doi.org/10.3934/dcds.2016.36.3317}
}
@Article{ li.lin.ea:15:asymptotic,
author = {Li, Yuhuan and Lin, Ke and Mu, Chunlai},
title = {Asymptotic behavior for small mass in an
attraction-repulsion chemotaxis system},
journal = {Electron. J. Differential Equations},
fjournal = {Electronic Journal of Differential Equations},
year = {2015},
pages = {No. 146, 13},
mrclass = {35M33 (35B40 35Q92 92C17)},
mrnumber = {3358518}
}
@Article{ li.linde:00:metric,
author = {Li, Wenbo V. and Linde, Werner},
title = {Metric entropy of convex hulls in {H}ilbert spaces},
journal = {Studia Math.},
fjournal = {Studia Mathematica},
volume = {139},
year = {2000},
number = {1},
pages = {29--45},
issn = {0039-3223,1730-6337},
mrclass = {60G15 (46C05 47B06 52A99 54C70)},
mrnumber = {1763043},
mrreviewer = {Qi\ Man\ Shao}
}
@Article{ li.linde:04:small,
author = {Li, Wenbo V. and Linde, Werner},
title = {Small deviations of stable processes via metric entropy},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {17},
year = {2004},
number = {1},
pages = {261--284},
issn = {0894-9840,1572-9230},
mrclass = {60G52 (60G15)},
mrnumber = {2054588},
mrreviewer = {Miguel\ A.\ Arcones},
doi = {10.1023/B:JOTP.0000020484.26184.c4},
url = {https://doi.org/10.1023/B:JOTP.0000020484.26184.c4}
}
@Article{ li.linde:93:small,
author = {Li, Wenbo V. and Linde, Werner},
title = {Small ball problems for non-centered {G}aussian measures},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {14},
year = {1993},
number = {2},
pages = {231--251},
issn = {0208-4147,2300-8113},
mrclass = {60G15 (60B11)},
mrnumber = {1321763},
mrreviewer = {Deli\ Li}
}
@Article{ li.linde:98:existence,
author = {Li, Wenbo V. and Linde, Werner},
title = {Existence of small ball constants for fractional
{B}rownian motions},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {326},
year = {1998},
number = {11},
pages = {1329--1334},
issn = {0764-4442},
mrclass = {60G05 (60G17)},
mrnumber = {1649147},
mrreviewer = {Qi\ Man\ Shao},
doi = {10.1016/S0764-4442(98)80189-4},
url = {https://doi.org/10.1016/S0764-4442(98)80189-4}
}
@Article{ li.linde:99:approximation,
author = {Li, Wenbo V. and Linde, Werner},
title = {Approximation, metric entropy and small ball estimates for
{G}aussian measures},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {27},
year = {1999},
number = {3},
pages = {1556--1578},
issn = {0091-1798,2168-894X},
mrclass = {60G15 (46G12 47B06 47G10 60F99)},
mrnumber = {1733160},
mrreviewer = {Qi\ Man\ Shao},
doi = {10.1214/aop/1022677459},
url = {https://doi.org/10.1214/aop/1022677459}
}
@Article{ li.liu.ea:09:wavelet,
author = {Li, Linyuan and Liu, Juan and Xiao, Yimin},
title = {Wavelet regression with long memory infinite moving
average errors},
journal = {J. Appl. Probab. Stat.},
fjournal = {Journal of Applied Probability and Statistics},
volume = {4},
year = {2009},
number = {2},
pages = {183--211},
issn = {1930-6792},
mrclass = {99-01},
mrnumber = {2751909}
}
@Article{ li.liu.ea:21:percolation,
title = {Percolation on complex networks: Theory and application},
volume = {907},
journal = {Physics Reports},
author = {Li, Ming and Liu, Run-Ran and L\"{u}, Linyuan and Hu,
Mao-Bin and Xu, Shuqi and Zhang, Yi-Cheng},
year = {2021},
month = {Apr},
pages = {1–68}
}
@Article{ li.lu.ea:19:wavelet,
author = {Li, Linyuan and Lu, Kewei and Xiao, Yimin},
title = {Wavelet thresholding in fixed design regression for
{G}aussian random fields},
journal = {J. Fourier Anal. Appl.},
fjournal = {The Journal of Fourier Analysis and Applications},
volume = {25},
year = {2019},
number = {6},
pages = {3184--3213},
issn = {1069-5869,1531-5851},
mrclass = {62G08 (62G20 62M40)},
mrnumber = {4029176},
mrreviewer = {Roman\ A.\ R\'{o}\.{z}a\'{n}ski},
doi = {10.1007/s00041-019-09698-6},
url = {https://doi.org/10.1007/s00041-019-09698-6}
}
@Article{ li.lu.ea:21:numerical,
author = {Li, Lei and Lu, Jianfeng and Mattingly, Jonathan C. and
Wang, Lihan},
title = {Numerical methods for stochastic differential equations
based on {G}aussian mixture},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {19},
year = {2021},
number = {6},
pages = {1549--1577},
issn = {1539-6746,1945-0796},
mrclass = {65C30 (60H35 65L20)},
mrnumber = {4294561},
mrreviewer = {Sa\'ul\ D\'iaz-Infante},
doi = {10.4310/CMS.2021.v19.n6.a5},
url = {https://doi.org/10.4310/CMS.2021.v19.n6.a5}
}
@Article{ li.mytnik:11:strong,
author = {Li, Zenghu and Mytnik, Leonid},
title = {Strong solutions for stochastic differential equations
with jumps},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {47},
year = {2011},
number = {4},
pages = {1055--1067},
issn = {0246-0203},
mrclass = {60H10 (60G17 60G51 60G52 60H20 60J75)},
mrnumber = {2884224},
mrreviewer = {David Applebaum},
doi = {10.1214/10-AIHP389},
url = {https://doi.org/10.1214/10-AIHP389}
}
@InCollection{ li.shao:00:note,
author = {Li, Wenbo V. and Shao, Qi-Man},
title = {A note on the {G}aussian correlation conjecture},
booktitle = {High dimensional probability, {II} ({S}eattle, {WA},
1999)},
series = {Progr. Probab.},
volume = {47},
pages = {163--171},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2000},
mrclass = {60G15 (60E15 62H20)},
mrnumber = {1857321},
mrreviewer = {S. A. Book},
doi = {10.1142/s0129626499000189},
url = {https://doi.org/10.1142/s0129626499000189}
}
@Article{ li.shao:01:capture,
author = {Li, Wenbo V. and Shao, Qi-Man},
title = {Capture time of {B}rownian pursuits},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {121},
year = {2001},
number = {1},
pages = {30--48},
issn = {0178-8051,1432-2064},
mrclass = {60J65},
mrnumber = {1857107},
mrreviewer = {Jean-Claude\ Gruet},
doi = {10.1007/PL00008796},
url = {https://doi.org/10.1007/PL00008796}
}
@InCollection{ li.shao:01:gaussian,
author = {Li, W. V. and Shao, Q.-M.},
title = {Gaussian processes: inequalities, small ball probabilities
and applications},
booktitle = {Stochastic processes: theory and methods},
series = {Handbook of Statist.},
volume = {19},
pages = {533--597},
publisher = {North-Holland, Amsterdam},
year = {2001},
mrclass = {60G15},
mrnumber = {1861734},
doi = {10.1016/S0169-7161(01)19019-X},
url = {https://doi.org/10.1016/S0169-7161(01)19019-X}
}
@Article{ li.shao:02:normal,
author = {Li, Wenbo V. and Shao, Qi-Man},
title = {A normal comparison inequality and its applications},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {122},
year = {2002},
number = {4},
pages = {494--508},
issn = {0178-8051,1432-2064},
mrclass = {60E15 (60F15 60G15 60J65 60K35)},
mrnumber = {1902188},
mrreviewer = {Sreenivasan\ Ravi},
doi = {10.1007/s004400100176},
url = {https://doi.org/10.1007/s004400100176}
}
@Article{ li.shao:04:lower,
author = {Li, Wenbo V. and Shao, Qi-Man},
title = {Lower tail probabilities for {G}aussian processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {1A},
pages = {216--242},
issn = {0091-1798,2168-894X},
mrclass = {60G15 (60G17 60G60)},
mrnumber = {2040781},
mrreviewer = {Jutta\ Groos},
doi = {10.1214/aop/1078415834},
url = {https://doi.org/10.1214/aop/1078415834}
}
@Article{ li.shao:05:recent,
author = {Li, Wenbo V. and Shao, Qi-Man},
title = {Recent developments on lower tail probabilities for
{G}aussian processes},
journal = {Cosmos},
fjournal = {Cosmos. An Interdisciplinary Journal in Science},
volume = {1},
year = {2005},
number = {1},
pages = {95--106},
issn = {0219-6077,1793-7051},
mrclass = {62M20},
mrnumber = {2329259},
doi = {10.1142/S0219607705000103},
url = {https://doi.org/10.1142/S0219607705000103}
}
@Article{ li.shao:99:small,
author = {Li, Wenbo V. and Shao, Qi-Man},
title = {Small ball estimates for {G}aussian processes under
{S}obolev type norms},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {12},
year = {1999},
number = {3},
pages = {699--720},
issn = {0894-9840,1572-9230},
mrclass = {60G15},
mrnumber = {1702899},
mrreviewer = {Davar\ Khoshnevisan},
doi = {10.1023/A:1021675731663},
url = {https://doi.org/10.1023/A:1021675731663}
}
@Article{ li.shen.ea:17:invariant,
author = {Li, Xin and Shen, Wenxian and Sun, Chunyou},
title = {Invariant measures for complex-valued dissipative
dynamical systems and applications},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {22},
year = {2017},
number = {6},
pages = {2427--2446},
issn = {1531-3492,1553-524X},
mrclass = {35Q55 (35B41 35Q56 37L40)},
mrnumber = {3664711},
doi = {10.3934/dcdsb.2017124},
url = {https://doi.org/10.3934/dcdsb.2017124}
}
@Article{ li.shen.ea:20:asymptotic,
author = {Li, Xin and Shen, Wenxian and Sun, Chunyou},
title = {Asymptotic dynamics of non-autonomous fractional
reaction-diffusion equations on bounded domains},
journal = {Topol. Methods Nonlinear Anal.},
fjournal = {Topological Methods in Nonlinear Analysis},
volume = {55},
year = {2020},
number = {1},
pages = {105--139},
issn = {1230-3429},
mrclass = {35R11 (35B40 35B41 76D06)},
mrnumber = {4100380},
mrreviewer = {Justin\ G.\ Trulen},
doi = {10.12775/tmna.2019.063},
url = {https://doi.org/10.12775/tmna.2019.063}
}
@InCollection{ li.shieh.ea:13:hitting,
author = {Li, Bing and Shieh, Narn-Rueih and Xiao, Yimin},
title = {Hitting probabilities of the random covering sets},
booktitle = {Fractal geometry and dynamical systems in pure and applied
mathematics. {II}. {F}ractals in applied mathematics},
series = {Contemp. Math.},
volume = {601},
pages = {307--323},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2013},
isbn = {978-0-8218-9148-3},
mrclass = {60D05 (28A80 52A22)},
mrnumber = {3203868},
mrreviewer = {Jean-Charles\ Pinoli},
doi = {10.1090/conm/601/11934},
url = {https://doi.org/10.1090/conm/601/11934}
}
@Article{ li.shu.ea:17:local,
author = {Li, Xingjie Helen and Shu, Chi-Wang and Yang, Yang},
title = {Local discontinuous {G}alerkin method for the
{K}eller-{S}egel chemotaxis model},
journal = {J. Sci. Comput.},
fjournal = {Journal of Scientific Computing},
volume = {73},
year = {2017},
number = {2-3},
pages = {943--967},
issn = {0885-7474},
mrclass = {65M60 (65M15 65M22 92C17)},
mrnumber = {3719614},
mrreviewer = {Jason M. Graham},
doi = {10.1007/s10915-016-0354-y},
url = {https://doi.org/10.1007/s10915-016-0354-y}
}
@InProceedings{ li.tai.ea:17:stochastic,
title = {Stochastic Modified Equations and Adaptive Stochastic
Gradient Algorithms},
author = {Li, Qianxiao and Tai, Cheng and E, Weinan},
booktitle = {Proceedings of the 34th International Conference on
Machine Learning},
pages = {2101--2110},
year = {2017},
editor = {Precup, Doina and Teh, Yee Whye},
volume = {70},
series = {Proceedings of Machine Learning Research},
month = {06--11 Aug},
publisher = {PMLR},
pdf = {http://proceedings.mlr.press/v70/li17f/li17f.pdf},
url = {https://proceedings.mlr.press/v70/li17f.html}
}
@Article{ li.wang.ea:12:joint,
author = {Li, Zenghu and Wang, Hao and Xiong, Jie and Zhou,
Xiaowen},
title = {Joint continuity of the solutions to a class of nonlinear
{SPDE}s},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {153},
year = {2012},
number = {3-4},
pages = {441--469},
issn = {0178-8051},
mrclass = {60H15 (60G57)},
mrnumber = {2948683},
mrreviewer = {Robert C. Dalang},
doi = {10.1007/s00440-011-0351-x},
url = {https://doi.org/10.1007/s00440-011-0351-x}
}
@Article{ li.wang.ea:15:exact,
author = {Li, Yuqiang and Wang, Wensheng and Xiao, Yimin},
title = {Exact moduli of continuity for operator-scaling {G}aussian
random fields},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {21},
year = {2015},
number = {2},
pages = {930--956},
issn = {1350-7265,1573-9759},
mrclass = {60G60 (60G15)},
mrnumber = {3338652},
mrreviewer = {Zbigniew\ Andrzej\ \L agodowski},
doi = {10.3150/13-BEJ593},
url = {https://doi.org/10.3150/13-BEJ593}
}
@InCollection{ li.wei:09:gaussian,
author = {Li, Wenbo V. and Wei, Ang},
title = {Gaussian integrals involving absolute value functions},
booktitle = {High dimensional probability {V}: the {L}uminy volume},
series = {Inst. Math. Stat. (IMS) Collect.},
volume = {5},
pages = {43--59},
publisher = {Inst. Math. Statist., Beachwood, OH},
year = {2009},
isbn = {978-0-940600-78-2},
mrclass = {60E05 (60B20 60G15)},
mrnumber = {2797939},
mrreviewer = {Nizar\ Demni},
doi = {10.1214/09-IMSCOLL504},
url = {https://doi.org/10.1214/09-IMSCOLL504}
}
@Article{ li.wei:09:on,
author = {Li, Wenbo V. and Wei, Ang},
title = {On the expected number of zeros of a random harmonic
polynomial},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {137},
year = {2009},
number = {1},
pages = {195--204},
issn = {0002-9939,1088-6826},
mrclass = {60G15 (26C10 34C10)},
mrnumber = {2439441},
mrreviewer = {Scott\ E.\ Zrebiec},
doi = {10.1090/S0002-9939-08-09555-5},
url = {https://doi.org/10.1090/S0002-9939-08-09555-5}
}
@Article{ li.wei:12:gaussian,
author = {Li, Wenbo V. and Wei, Ang},
title = {A {G}aussian inequality for expected absolute products},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {25},
year = {2012},
number = {1},
pages = {92--99},
issn = {0894-9840,1572-9230},
mrclass = {60E15},
mrnumber = {2886380},
mrreviewer = {Guangyu\ Yang},
doi = {10.1007/s10959-010-0329-0},
url = {https://doi.org/10.1007/s10959-010-0329-0}
}
@Article{ li.xiao.ea:19:on,
author = {Li, Bo and Xiao, Yimin and Yang, Xiaochuan},
title = {On the favorite points of symmetric {L}\'{e}vy processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {32},
year = {2019},
number = {4},
pages = {1943--1972},
issn = {0894-9840,1572-9230},
mrclass = {60J55 (60G15 60J75)},
mrnumber = {4020694},
mrreviewer = {Olga\ Izyumtseva},
doi = {10.1007/s10959-018-0857-6},
url = {https://doi.org/10.1007/s10959-018-0857-6}
}
@Article{ li.xiao:07:mean,
author = {Li, Linyuan and Xiao, Yimin},
title = {Mean integrated squared error of nonlinear wavelet-based
estimators with long memory data},
journal = {Ann. Inst. Statist. Math.},
fjournal = {Annals of the Institute of Statistical Mathematics},
volume = {59},
year = {2007},
number = {2},
pages = {299--324},
issn = {0020-3157,1572-9052},
mrclass = {62G08},
mrnumber = {2394169},
mrreviewer = {Yichuan\ Zhao},
doi = {10.1007/s10463-006-0048-6},
url = {https://doi.org/10.1007/s10463-006-0048-6}
}
@Article{ li.xiao:07:on,
author = {Li, Linyuan and Xiao, Yimin},
title = {On the minimax optimality of block thresholded wavelet
estimators with long memory data},
journal = {J. Statist. Plann. Inference},
fjournal = {Journal of Statistical Planning and Inference},
volume = {137},
year = {2007},
number = {9},
pages = {2850--2869},
issn = {0378-3758,1873-1171},
mrclass = {62G07 (62C20)},
mrnumber = {2323796},
doi = {10.1016/j.jspi.2006.10.009},
url = {https://doi.org/10.1016/j.jspi.2006.10.009}
}
@Article{ li.xiao:09:note,
author = {Li, Linyuan and Xiao, Yimin},
title = {A note on the bound of wavelet interpolation and
approximation in a {B}esov space},
journal = {Curr. Dev. Theory Appl. Wavelets},
fjournal = {Current Development in Theory and Applications of
Wavelets},
volume = {3},
year = {2009},
number = {1},
pages = {71--80},
issn = {0973-5607},
mrclass = {42C40 (41A30)},
mrnumber = {2538216}
}
@Article{ li.xiao:10:note,
author = {Li, Linyuan and Xiao, Yimin},
title = {A note on block-thresholded wavelet estimators with
correlated noise},
journal = {Comm. Statist. Theory Methods},
fjournal = {Communications in Statistics. Theory and Methods},
volume = {39},
year = {2010},
number = {7},
pages = {1111--1128},
issn = {0361-0926,1532-415X},
mrclass = {62G08 (62C20 62G05)},
mrnumber = {2745368},
mrreviewer = {Armel\ Fabrice\ Yode},
doi = {10.1080/03610920902846570},
url = {https://doi.org/10.1080/03610920902846570}
}
@Article{ li.xiao:11:multivariate,
author = {Li, Yuqiang and Xiao, Yimin},
title = {Multivariate operator-self-similar random fields},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {6},
pages = {1178--1200},
issn = {0304-4149,1879-209X},
mrclass = {60G60 (60G15 60G18)},
mrnumber = {2794972},
mrreviewer = {Anatoliy\ Malyarenko},
doi = {10.1016/j.spa.2011.02.005},
url = {https://doi.org/10.1016/j.spa.2011.02.005}
}
@Article{ li.xiao:12:occupation,
author = {Li, Yuqiang and Xiao, Yimin},
title = {Occupation time fluctuations of weakly degenerate
branching systems},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {25},
year = {2012},
number = {4},
pages = {1119--1152},
issn = {0894-9840,1572-9230},
mrclass = {60F17 (60G20 60G60 60J80)},
mrnumber = {2993016},
mrreviewer = {Christian\ B\"{o}inghoff},
doi = {10.1007/s10959-011-0358-3},
url = {https://doi.org/10.1007/s10959-011-0358-3}
}
@Article{ li.xiao:13:class,
author = {Li, Yuqiang and Xiao, Yimin},
title = {A class of fractional {B}rownian fields from branching
systems and their regularity properties},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {16},
year = {2013},
number = {3},
pages = {1350023, 33},
issn = {0219-0257,1793-6306},
mrclass = {60G15 (60F17 60G17 60G18 60G60 60J80)},
mrnumber = {3125843},
mrreviewer = {Serge\ Cohen},
doi = {10.1142/S0219025713500239},
url = {https://doi.org/10.1142/S0219025713500239}
}
@Article{ li.xiao:17:wavelet-based,
author = {Li, Linyuan and Xiao, Yimin},
title = {Wavelet-based estimation of regression function with
strong mixing errors under fixed design},
journal = {Comm. Statist. Theory Methods},
fjournal = {Communications in Statistics. Theory and Methods},
volume = {46},
year = {2017},
number = {10},
pages = {4824--4842},
issn = {0361-0926,1532-415X},
mrclass = {62G05 (62G08 62G20)},
mrnumber = {3604141},
mrreviewer = {Paulo\ E.\ Oliveira},
doi = {10.1080/03610926.2015.1089288},
url = {https://doi.org/10.1080/03610926.2015.1089288}
}
@Article{ li.zhang.ea:20:data-driven,
author = {Li, Sijing and Zhang, Zhiwen and Zhao, Hongkai},
title = {A data-driven approach for multiscale elliptic {PDE}s with
random coefficients based on intrinsic dimension
reduction},
journal = {Multiscale Model. Simul.},
fjournal = {Multiscale Modeling \& Simulation. A SIAM
Interdisciplinary Journal},
volume = {18},
year = {2020},
number = {3},
pages = {1242--1271},
issn = {1540-3459,1540-3467},
mrclass = {35R60 (35J08 35J25 60H25 65N30 65N80 78M34)},
mrnumber = {4127093},
mrreviewer = {Le\ Chen},
doi = {10.1137/19M1277485},
url = {https://doi.org/10.1137/19M1277485}
}
@Article{ li.zhao:15:initial-boundary,
author = {Li, Huicong and Zhao, Kun},
title = {Initial-boundary value problems for a system of hyperbolic
balance laws arising from chemotaxis},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {258},
year = {2015},
number = {2},
pages = {302--338},
issn = {0022-0396},
mrclass = {35K51 (35K57 35K59 92C15 92C17)},
mrnumber = {3274760},
doi = {10.1016/j.jde.2014.09.014},
url = {https://doi.org/10.1016/j.jde.2014.09.014}
}
@Article{ li:01:small,
author = {Li, Wenbo V.},
title = {Small ball probabilities for {G}aussian {M}arkov processes
under the {$L_p$}-norm},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {92},
year = {2001},
number = {1},
pages = {87--102},
issn = {0304-4149,1879-209X},
mrclass = {60G15 (60J25 60J65)},
mrnumber = {1815180},
mrreviewer = {Qi\ Man\ Shao},
doi = {10.1016/S0304-4149(00)00072-7},
url = {https://doi.org/10.1016/S0304-4149(00)00072-7}
}
@Article{ li:03:first,
author = {Li, Wenbo V.},
title = {The first exit time of a {B}rownian motion from an
unbounded convex domain},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {2},
pages = {1078--1096},
issn = {0091-1798,2168-894X},
mrclass = {60G40 (60J65)},
mrnumber = {1964959},
mrreviewer = {Luis\ Hernan R. Alvarez},
doi = {10.1214/aop/1048516546},
url = {https://doi.org/10.1214/aop/1048516546}
}
@Article{ li:06:note,
author = {Li, Yuan-Chuan},
title = {A note on an identity of the gamma function and
{S}tirling's formula},
journal = {Real Anal. Exchange},
fjournal = {Real Analysis Exchange},
volume = {32},
year = {2006/07},
number = {1},
pages = {267--271},
issn = {0147-1937},
mrclass = {33B15 (11B73)},
mrnumber = {2329236},
mrreviewer = {Necdet Batir},
url = {http://projecteuclid.org/euclid.rae/1184700051}
}
@Article{ li:19:finite-time,
author = {Li, Yan},
title = {Finite-time blow-up in quasilinear parabolic-elliptic
chemotaxis system with nonlinear signal production},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {480},
year = {2019},
number = {1},
pages = {123376, 18},
issn = {0022-247X},
mrclass = {35M33 (35B44 35K59 35Q92 92C17)},
mrnumber = {3994919},
doi = {10.1016/j.jmaa.2019.123376},
url = {https://doi.org/10.1016/j.jmaa.2019.123376}
}
@Article{ li:19:global,
author = {Li, Xie},
title = {Global classical solutions in a
{K}eller-{S}egel(-{N}avier)-{S}tokes system modeling coral
fertilization},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {267},
year = {2019},
number = {11},
pages = {6290--6315},
issn = {0022-0396},
mrclass = {35Q35 (35A09 35Q92 92C17)},
mrnumber = {4001056},
doi = {10.1016/j.jde.2019.06.021},
url = {https://doi.org/10.1016/j.jde.2019.06.021}
}
@Article{ li:19:on,
author = {Li, Yan},
title = {On a {K}eller-{S}egel-{S}tokes system with logistic type
growth: blow-up prevention enforced by sublinear signal
production},
journal = {Z. Angew. Math. Phys.},
fjournal = {Zeitschrift f\"{u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics. Journal
de Math\'{e}matiques et de Physique Appliqu\'{e}es},
volume = {70},
year = {2019},
number = {5},
pages = {Paper No. 157, 18},
issn = {0044-2275},
mrclass = {35Q92 (35A09 35Q35 76Z10 92C17)},
mrnumber = {4019734},
doi = {10.1007/s00033-019-1202-3},
url = {https://doi.org/10.1007/s00033-019-1202-3}
}
@Article{ li:19:on*1,
author = {Li, Xie},
title = {On a fully parabolic chemotaxis system with nonlinear
signal secretion},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {49},
year = {2019},
pages = {24--44},
issn = {1468-1218},
mrclass = {35K51 (35A01 92C17)},
mrnumber = {3921292},
doi = {10.1016/j.nonrwa.2019.02.005},
url = {https://doi.org/10.1016/j.nonrwa.2019.02.005}
}
@Article{ li:92:comparison,
author = {Li, Wenbo V.},
title = {Comparison results for the lower tail of {G}aussian
seminorms},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {5},
year = {1992},
number = {1},
pages = {1--31},
issn = {0894-9840,1572-9230},
mrclass = {60G15 (60B11)},
mrnumber = {1144725},
doi = {10.1007/BF01046776},
url = {https://doi.org/10.1007/BF01046776}
}
@Article{ li:92:lim,
author = {Li, Wenbo V.},
title = {Lim inf results for the {W}iener process and its
increments under the {$L_2$}-norm},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {92},
year = {1992},
number = {1},
pages = {69--90},
issn = {0178-8051,1432-2064},
mrclass = {60G15 (60F15 60G17)},
mrnumber = {1156451},
mrreviewer = {M.\ Cs\"{o}rg\H{o}},
doi = {10.1007/BF01205237},
url = {https://doi.org/10.1007/BF01205237}
}
@Article{ li:92:limit,
author = {Li, Wenbo V.},
title = {Limit theorems for the square integral of {B}rownian
motion and its increments},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {41},
year = {1992},
number = {2},
pages = {223--239},
issn = {0304-4149,1879-209X},
mrclass = {60F15 (60F17 60G15 60J65)},
mrnumber = {1164176},
mrreviewer = {Endre\ Cs\'{a}ki},
doi = {10.1016/0304-4149(92)90123-8},
url = {https://doi.org/10.1016/0304-4149(92)90123-8}
}
@InCollection{ li:92:on,
author = {Li, Wenbo V.},
title = {On the lower tail of {G}aussian measures on {$l_p$}},
booktitle = {Probability in {B}anach spaces, 8 ({B}runswick, {ME},
1991)},
series = {Progr. Probab.},
volume = {30},
pages = {106--115},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1992},
isbn = {0-8176-3657-9},
mrclass = {60B05 (60B11)},
mrnumber = {1227613},
mrreviewer = {S.\ A.\ Chobanyan}
}
@InCollection{ li:98:result,
author = {Li, Wenbo V.},
title = {A {$\liminf$} result for the {B}rownian motion},
booktitle = {Asymptotic methods in probability and statistics
({O}ttawa, {ON}, 1997)},
pages = {281--292},
publisher = {North-Holland, Amsterdam},
year = {1998},
isbn = {0-444-50083-9},
mrclass = {60J65 (60J70)},
mrnumber = {1661486},
mrreviewer = {Chull\ Park},
doi = {10.1016/B978-044450083-0/50018-6},
url = {https://doi.org/10.1016/B978-044450083-0/50018-6}
}
@Article{ li:99:gaussian,
author = {Li, Wenbo V.},
title = {A {G}aussian correlation inequality and its applications
to small ball probabilities},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {4},
year = {1999},
pages = {111--118},
issn = {1083-589X},
mrclass = {60G15 (60E15)},
mrnumber = {1741737},
mrreviewer = {Qi\ Man\ Shao},
doi = {10.1214/ECP.v4-1012},
url = {https://doi.org/10.1214/ECP.v4-1012}
}
@Article{ li:99:small,
author = {Li, Wenbo V.},
title = {Small deviations for {G}aussian {M}arkov processes under
the sup-norm},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {12},
year = {1999},
number = {4},
pages = {971--984},
issn = {0894-9840,1572-9230},
mrclass = {60G15 (60F10 60J65)},
mrnumber = {1729464},
mrreviewer = {Endre\ Cs\'{a}ki},
doi = {10.1023/A:1021771503265},
url = {https://doi.org/10.1023/A:1021771503265}
}
@Article{ liang.zhao:07:asymptotic,
author = {Liang, Xing and Zhao, Xiao-Qiang},
title = {Asymptotic speeds of spread and traveling waves for
monotone semiflows with applications},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {60},
year = {2007},
number = {1},
pages = {1--40},
issn = {0010-3640},
mrclass = {37L05 (34K25 35K57 60J60)},
mrnumber = {2270161},
mrreviewer = {Hal Leslie Smith},
doi = {10.1002/cpa.20154},
url = {https://doi.org/10.1002/cpa.20154}
}
@Article{ liang.zhao:10:spreading,
author = {Liang, Xing and Zhao, Xiao-Qiang},
title = {Spreading speeds and traveling waves for abstract
monostable evolution systems},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {259},
year = {2010},
number = {4},
pages = {857--903},
issn = {0022-1236},
mrclass = {35C07 (35A01 35B10 35B25 35K57 37L05 92D30)},
mrnumber = {2652175},
mrreviewer = {Anna R. Ghazaryan},
doi = {10.1016/j.jfa.2010.04.018},
url = {https://doi.org/10.1016/j.jfa.2010.04.018}
}
@Book{ liao:14:applied,
author = {Liao, Ming},
title = {Applied stochastic processes},
publisher = {CRC Press, Boca Raton, FL},
year = {2014},
pages = {viii+199},
isbn = {978-1-4665-8933-9},
mrclass = {60-01 (60H05 60H10 60J10 60J27 60J65 60K05 60K25)},
mrnumber = {3100370},
mrreviewer = {Matthias Meiners}
}
@Article{ licea.newman.ea:96:superdiffusivity,
author = {Licea, C. and Newman, C. M. and Piza, M. S. T.},
title = {Superdiffusivity in first-passage percolation},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {106},
year = {1996},
number = {4},
pages = {559--591},
issn = {0178-8051},
mrclass = {60K35 (82C24)},
mrnumber = {1421992},
mrreviewer = {Wei-Shih Yang},
doi = {10.1007/s004400050075},
url = {https://doi.org/10.1007/s004400050075}
}
@Article{ licea.newman:96:geodesics,
author = {Licea, Cristina and Newman, Charles M.},
title = {Geodesics in two-dimensional first-passage percolation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {1},
pages = {399--410},
issn = {0091-1798},
mrclass = {60K35 (60D05 82B44)},
mrnumber = {1387641},
mrreviewer = {Olle H\"{a}ggstr\"{o}m},
doi = {10.1214/aop/1042644722},
url = {https://doi.org/10.1214/aop/1042644722}
}
@Article{ lieb.liniger:63:exact,
author = {Lieb, Elliott H. and Liniger, Werner},
title = {Exact analysis of an interacting {B}ose gas. {I}. {T}he
general solution and the ground state},
journal = {Phys. Rev. (2)},
fjournal = {Physical Review. Series II},
volume = {130},
year = {1963},
pages = {1605--1616},
issn = {0031-899X},
mrclass = {81.30},
mrnumber = {156630},
mrreviewer = {E. J. Verboven}
}
@Book{ lieb.loss:01:analysis,
author = {Lieb, Elliott H. and Loss, Michael},
title = {Analysis},
series = {Graduate Studies in Mathematics},
volume = {14},
edition = {Second},
publisher = {American Mathematical Society, Providence, RI},
year = {2001},
pages = {xxii+346},
isbn = {0-8218-2783-9},
mrclass = {00A05 (26-01 28-01 31-01 35J10 42-01)},
mrnumber = {1817225},
doi = {10.1090/gsm/014},
url = {https://doi.org/10.1090/gsm/014}
}
@Article{ lieb.simon:77:hartree-fock,
author = {Lieb, Elliott H. and Simon, Barry},
title = {The {H}artree-{F}ock theory for {C}oulomb systems},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {53},
year = {1977},
number = {3},
pages = {185--194},
issn = {0010-3616,1432-0916},
mrclass = {81.46},
mrnumber = {452286},
mrreviewer = {Johan\ G.\ Belinfante},
url = {http://projecteuclid.org/euclid.cmp/1103900699}
}
@Article{ lieb.simon:77:thomas-fermi,
author = {Lieb, Elliott H. and Simon, Barry},
title = {The {T}homas-{F}ermi theory of atoms, molecules and
solids},
journal = {Advances in Math.},
fjournal = {Advances in Mathematics},
volume = {23},
year = {1977},
number = {1},
pages = {22--116},
issn = {0001-8708},
mrclass = {81.35},
mrnumber = {428944},
mrreviewer = {F.\ C.\ Auluck},
doi = {10.1016/0001-8708(77)90108-6},
url = {https://doi.org/10.1016/0001-8708(77)90108-6}
}
@Article{ lieb.thomas:97:exact,
author = {Lieb, Elliott H. and Thomas, Lawrence E.},
title = {Exact ground state energy of the strong-coupling polaron},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {183},
year = {1997},
number = {3},
pages = {511--519},
issn = {0010-3616},
mrclass = {81Q15 (81R30 81V70)},
mrnumber = {1462224},
mrreviewer = {Nicolae Angelescu},
doi = {10.1007/s002200050040},
url = {https://doi.org/10.1007/s002200050040}
}
@Article{ lieb:67:residual,
title = {Residual Entropy of Square Ice},
author = {Lieb, Elliott H.},
journal = {Phys. Rev.},
volume = {162},
issue = {1},
pages = {162--172},
numpages = {0},
year = {1967},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/PhysRev.162.162},
url = {https://link.aps.org/doi/10.1103/PhysRev.162.162}
}
@Article{ lieb:83:sharp,
author = {Lieb, Elliott H.},
title = {Sharp constants in the {H}ardy-{L}ittlewood-{S}obolev and
related inequalities},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {118},
year = {1983},
number = {2},
pages = {349--374},
issn = {0003-486X},
mrclass = {42B25 (42A05)},
mrnumber = {717827},
mrreviewer = {Autorreferat},
doi = {10.2307/2007032},
url = {https://doi.org/10.2307/2007032}
}
@Article{ lieb:90:gaussian,
author = {Lieb, Elliott H.},
title = {Gaussian kernels have only {G}aussian maximizers},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {102},
year = {1990},
number = {1},
pages = {179--208},
issn = {0020-9910},
mrclass = {42B10},
mrnumber = {1069246},
mrreviewer = {Joseph Max Rosenblatt},
doi = {10.1007/BF01233426},
url = {https://doi.org/10.1007/BF01233426}
}
@Book{ lieberman:96:second,
author = {Lieberman, Gary M.},
title = {Second order parabolic differential equations},
publisher = {World Scientific Publishing Co., Inc., River Edge, NJ},
year = {1996},
pages = {xii+439},
isbn = {981-02-2883-X},
mrclass = {35-02 (35Bxx 35Dxx 35Kxx)},
mrnumber = {1465184},
mrreviewer = {Siegfried Carl},
doi = {10.1142/3302},
url = {https://doi.org/10.1142/3302}
}
@Book{ lifshitz.pitaevskiui:80:course,
author = {Lifshitz, E. M. and Pitaevskiu{i}, L. P.},
title = {Course of theoretical physics [``{L}andau-{L}ifshits''].
{V}ol. 9},
note = {Statistical physics. Part 2. Theory of the condensed
state, Translated from the Russian by J. B. Sykes and M. J.
Kearsley},
publisher = {Pergamon Press, Oxford-Elmsford, N.Y.},
year = {1980},
pages = {xi+387},
isbn = {0-08-023073-3; 0-08-023072-5},
mrclass = {82-01},
mrnumber = {586944}
}
@Article{ liggett.spitzer:81:ergodic,
author = {Liggett, Thomas M. and Spitzer, Frank},
title = {Ergodic theorems for coupled random walks and other
systems with locally interacting components},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {56},
year = {1981},
number = {4},
pages = {443--468},
issn = {0044-3719},
mrclass = {60K35 (60J15 82A05)},
mrnumber = {621659},
mrreviewer = {N.\ U.\ Prabhu},
doi = {10.1007/BF00531427},
url = {https://doi.org/10.1007/BF00531427}
}
@Book{ liggett:05:interacting,
author = {Liggett, Thomas M.},
title = {Interacting particle systems},
series = {Classics in Mathematics},
note = {Reprint of the 1985 original},
publisher = {Springer-Verlag, Berlin},
year = {2005},
pages = {xvi+496},
isbn = {3-540-22617-6},
mrclass = {60-02 (60K35 82C22)},
mrnumber = {2108619},
mrreviewer = {Michael Pr\"{a}hofer},
doi = {10.1007/b138374},
url = {https://doi.org/10.1007/b138374}
}
@Article{ liggett:85:improved,
author = {Liggett, Thomas M.},
title = {An improved subadditive ergodic theorem},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {13},
year = {1985},
number = {4},
pages = {1279--1285},
issn = {0091-1798},
mrclass = {60F15 (60K35)},
mrnumber = {806224},
mrreviewer = {Yves Derriennic},
url = {http://links.jstor.org/sici?sici=0091-1798(198511)13:4<1279:AISET>2.0.CO;2-1&origin=MSN}
}
@Book{ liggett:85:interacting,
author = {Liggett, Thomas M.},
title = {Interacting particle systems},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {276},
publisher = {Springer-Verlag, New York},
year = {1985},
pages = {xv+488},
isbn = {0-387-96069-4},
mrclass = {60K35},
mrnumber = {776231},
mrreviewer = {F. L. Spitzer},
doi = {10.1007/978-1-4613-8542-4},
url = {https://doi.org/10.1007/978-1-4613-8542-4}
}
@Book{ liggett:99:stochastic,
author = {Liggett, Thomas M.},
title = {Stochastic interacting systems: contact, voter and
exclusion processes},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {324},
publisher = {Springer-Verlag, Berlin},
year = {1999},
pages = {xii+332},
isbn = {3-540-65995-1},
mrclass = {60K35 (82B21 82C21 91B12)},
mrnumber = {1717346},
mrreviewer = {Ellen Saada},
doi = {10.1007/978-3-662-03990-8},
url = {https://doi.org/10.1007/978-3-662-03990-8}
}
@Article{ lin.atkinson.ea:14:optimal,
title = {Optimal patrol to uncover threats in time when detection
is imperfect},
author = {Lin, Kyle Y and Atkinson, Michael P and Glazebrook, Kevin
D},
journal = {Naval Research Logistics (NRL)},
volume = {61},
number = {8},
pages = {557--576},
year = {2014},
publisher = {Wiley Online Library}
}
@Article{ lin.mu.ea:18:blow-up,
author = {Lin, Ke and Mu, Chunlai and Zhong, Hua},
title = {A blow-up result for a quasilinear chemotaxis system with
logistic source in higher dimensions},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {464},
year = {2018},
number = {1},
pages = {435--455},
issn = {0022-247X},
mrclass = {35M33 (35B44 35Q92 92C17)},
mrnumber = {3794098},
doi = {10.1016/j.jmaa.2018.04.015},
url = {https://doi.org/10.1016/j.jmaa.2018.04.015}
}
@Article{ lin.mu:16:global,
author = {Lin, Ke and Mu, Chunlai},
title = {Global dynamics in a fully parabolic chemotaxis system
with logistic source},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems},
volume = {36},
year = {2016},
number = {9},
pages = {5025--5046},
issn = {1078-0947,1553-5231},
mrclass = {92C17 (35B35 35B40 35K51 35K59 35Q92)},
mrnumber = {3541515},
mrreviewer = {Jingyu\ Li},
doi = {10.3934/dcds.2016018},
url = {https://doi.org/10.3934/dcds.2016018}
}
@Article{ lin.mueller:19:can,
author = {Lin, Kevin and Mueller, Carl},
title = {Can the stochastic wave equation with strong drift hit
zero?},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 14, 26},
mrclass = {60H15 (35K58 35K67 35R60 60J45)},
mrnumber = {3916334},
doi = {10.1214/19-EJP279},
url = {https://doi.org/10.1214/19-EJP279}
}
@Article{ lin.seppalainen:12:properties,
author = {Lin, Hao and Sepp\"{a}l\"{a}inen, Timo},
title = {Properties of the limit shape for some last-passage growth
models in random environments},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {2},
pages = {498--521},
issn = {0304-4149},
mrclass = {60K35 (60K25 60K37)},
mrnumber = {2868928},
mrreviewer = {Jonathon R. Peterson},
doi = {10.1016/j.spa.2011.08.015},
url = {https://doi.org/10.1016/j.spa.2011.08.015}
}
@Article{ lin.tsai:21:short,
author = {Lin, Yier and Tsai, Li-Cheng},
title = {Short time large deviations of the {KPZ} equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {386},
year = {2021},
number = {1},
pages = {359--393},
issn = {0010-3616},
mrclass = {35Q53},
mrnumber = {4287189},
doi = {10.1007/s00220-021-04050-w},
url = {https://doi.org/10.1007/s00220-021-04050-w}
}
@Article{ lin.zhang:00:on,
author = {Lin, Fanghua and Zhang, Ping},
title = {On the hydrodynamic limit of {G}inzburg-{L}andau
vortices},
journal = {Discrete Contin. Dynam. Systems},
fjournal = {Discrete and Continuous Dynamical Systems},
volume = {6},
year = {2000},
number = {1},
pages = {121--142},
issn = {1078-0947},
mrclass = {35Q55 (82D50)},
mrnumber = {1739596},
mrreviewer = {Robert Leon Jerrard},
doi = {10.3934/dcds.2000.6.121},
url = {https://doi.org/10.3934/dcds.2000.6.121}
}
@Article{ linares.otto.ea:24:diagram-free,
author = {Linares, Pablo and Otto, Felix and Tempelmayr, Markus and
Tsatsoulis, Pavlos},
title = {A diagram-free approach to the stochastic estimates in
regularity structures},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {237},
year = {2024},
number = {3},
pages = {1469--1565},
issn = {0020-9910},
mrclass = {60H17 (60H07 60L30 81T16)},
mrnumber = {4777092},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s00222-024-01275-z},
url = {https://doi.org/10.1007/s00222-024-01275-z}
}
@Article{ lind.utley:22:phase,
author = {Lind, Joan and Utley, Jeffrey},
title = {Phase transition for a family of complex-driven {L}oewner
hulls},
journal = {Involve},
fjournal = {Involve. A Journal of Mathematics},
volume = {15},
year = {2022},
number = {3},
pages = {447--474},
issn = {1944-4176},
mrclass = {30C35 (30C80)},
mrnumber = {4522857},
mrreviewer = {Ikkei Hotta},
doi = {10.2140/involve.2022.15.447},
url = {https://doi.org/10.2140/involve.2022.15.447}
}
@Article{ linde.pic:74:mappings,
author = {Linde, V. and Pi\v{c}, A.},
title = {Mappings of {G}aussian measures of cylindrical sets in
{B}anach spaces},
journal = {Teor. Verojatnost. i Primenen.},
fjournal = {Akademija Nauk SSSR. Teorija Verojatnosteu{i} i ee
Primenenija},
volume = {19},
year = {1974},
pages = {472--487},
issn = {0040-361x},
mrclass = {60G15},
mrnumber = {0356201},
mrreviewer = {R. M. Dudley}
}
@Article{ lindemulder.meyries.ea:18:complex,
author = {Lindemulder, Nick and Meyries, Martin and Veraar, Mark},
title = {Complex interpolation with {D}irichlet boundary conditions
on the half line},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {291},
year = {2018},
number = {16},
pages = {2435--2456},
issn = {0025-584X,1522-2616},
mrclass = {46B70 (42B25 47A60)},
mrnumber = {3884269},
mrreviewer = {Oleksiy\ Karlovych},
doi = {10.1002/mana.201700204},
url = {https://doi.org/10.1002/mana.201700204}
}
@Article{ lindemulder.veraar:20:heat,
author = {Lindemulder, Nick and Veraar, Mark},
title = {The heat equation with rough boundary conditions and
holomorphic functional calculus},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {269},
year = {2020},
number = {7},
pages = {5832--5899},
issn = {0022-0396,1090-2732},
mrclass = {47A60 (35K20 46B70 46E35 46E40)},
mrnumber = {4104944},
mrreviewer = {Elena\ Cordero},
doi = {10.1016/j.jde.2020.04.023},
url = {https://doi.org/10.1016/j.jde.2020.04.023}
}
@Book{ lions:69:quelques,
author = {Lions, J.-L.},
title = {Quelques m\'{e}thodes de r\'{e}solution des probl\`emes
aux limites non lin\'{e}aires},
publisher = {Dunod, Paris; Gauthier-Villars, Paris},
year = {1969},
pages = {xx+554},
mrclass = {47.80 (35.00)},
mrnumber = {259693},
mrreviewer = {L. Cesari}
}
@Book{ lions:96:mathematical,
author = {Lions, Pierre-Louis},
title = {Mathematical topics in fluid mechanics. {V}ol. 1},
series = {Oxford Lecture Series in Mathematics and its
Applications},
volume = {3},
note = {Incompressible models, Oxford Science Publications},
publisher = {The Clarendon Press, Oxford University Press, New York},
year = {1996},
pages = {xiv+237},
isbn = {0-19-851487-5},
mrclass = {76-02 (35Q30 35Q35 76D05)},
mrnumber = {1422251},
mrreviewer = {Denis Serre}
}
@Article{ liptser.zeitouni:98:robust,
author = {Liptser, Robert and Zeitouni, Ofer},
title = {Robust diffusion approximation for nonlinear filtering},
journal = {J. Math. Systems Estim. Control},
fjournal = {Journal of Mathematical Systems, Estimation, and Control},
volume = {8},
year = {1998},
number = {1},
pages = {22 pp.},
issn = {1052-0600},
mrclass = {93E11},
mrnumber = {1650159},
mrreviewer = {Vivek\ S.\ Borkar}
}
@Article{ lisini.mainini.ea:18:gradient,
author = {Lisini, Stefano and Mainini, Edoardo and Segatti,
Antonio},
title = {A gradient flow approach to the porous medium equation
with fractional pressure},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {227},
year = {2018},
number = {2},
pages = {567--606},
issn = {0003-9527},
mrclass = {76S05 (35Q35)},
mrnumber = {3740382},
mrreviewer = {S\"{o}ren Dobbersch\"{u}tz},
doi = {10.1007/s00205-017-1168-2},
url = {https://doi.org/10.1007/s00205-017-1168-2}
}
@Article{ liskevich.rockner:98:strong,
author = {Liskevich, Vitali and R\"{o}ckner, Michael},
title = {Strong uniqueness for certain infinite-dimensional
{D}irichlet operators and applications to stochastic
quantization},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie IV},
volume = {27},
year = {1998},
number = {1},
pages = {69--91 (1999)},
issn = {0391-173X},
mrclass = {47B25 (31C25 47D07 81S20)},
mrnumber = {1658889},
mrreviewer = {J. A. van Casteren},
url = {http://www.numdam.org/item?id=ASNSP_1998_4_27_1_69_0}
}
@Article{ liu.chen:92:wave,
author = {Liu, Zixin and Chen, Xiaojia},
title = {Wave function in quantum cosmology of {B}ergmann-{W}agoner
scalar-tensor gravitational theory},
journal = {Chinese Phys. Lett.},
fjournal = {Chinese Physics Letters},
volume = {9},
year = {1992},
number = {12},
pages = {673--676},
issn = {0256-307X},
mrclass = {83D05 (83C45)},
mrnumber = {1418481},
doi = {10.1088/0256-307X/9/12/014},
url = {https://doi.org/10.1088/0256-307X/9/12/014}
}
@Article{ liu.foondun.ea:14:mean,
author = {Liu, Wei and Foondun, Mohammud and Mao, Xuerong},
title = {Mean square polynomial stability of numerical solutions to
a class of stochastic differential equations},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {92},
year = {2014},
pages = {173--182},
issn = {0167-7152},
mrclass = {65C30 (60H10)},
mrnumber = {3230491},
mrreviewer = {Peter E. Kloeden},
doi = {10.1016/j.spl.2014.06.002},
url = {https://doi.org/10.1016/j.spl.2014.06.002}
}
@Article{ liu.honnappa.ea:21:infinite,
author = {Liu, Yiran and Honnappa, Harsha and Tindel, Samy and Yip,
Nung Kwan},
title = {Infinite server queues in a random fast oscillatory
environment},
journal = {Queueing Syst.},
fjournal = {Queueing Systems. Theory and Applications},
volume = {98},
year = {2021},
number = {1-2},
pages = {145--179},
issn = {0257-0130},
mrclass = {60K25 (60F15 60G55 60K37 90B22)},
mrnumber = {4262172},
doi = {10.1007/s11134-021-09704-z},
url = {https://doi.org/10.1007/s11134-021-09704-z}
}
@Article{ liu.hu.ea:22:necessary,
title = {Necessary and sufficient conditions to solve parabolic
Anderson model with rough noise},
author = {Shuhui Liu and Yaozhong Hu and Xiong Wang},
year = {2022},
month = {June},
journal = {Preprint arXiv:2206.02641},
url = {http://arXiv.org/abs/2206.02641}
}
@Article{ liu.hu.ea:22:nonlinear,
author = {Liu, Shuhui and Hu, Yaozhong and Wang, Xiong},
title = {Nonlinear stochastic wave equation driven by rough noise},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {331},
year = {2022},
pages = {99--161},
issn = {0022-0396,1090-2732},
mrclass = {35R60 (35L05)},
mrnumber = {4435914},
doi = {10.1016/j.jde.2022.05.016},
url = {https://doi.org/10.1016/j.jde.2022.05.016}
}
@Article{ liu.hu.ea:23:stochastic,
title = {Stochastic wave equation with additive fractional noise:
solvability and global H\"older continuity},
author = {Shuhui Liu and Yaozhong Hu and Xiong Wang},
year = {2023},
month = {May},
journal = {Preprint arXiv:2305.02425},
url = {http://arXiv.org/abs/2305.02425}
}
@Article{ liu.hu.ea:24:in,
author = {Liu, Shuhui and Hu, Yaozhong and Wang, Xiong},
title = {In search of necessary and sufficient conditions to solve
the parabolic {A}nderson model with fractional {G}aussian
noises},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {29},
year = {2024},
pages = {Paper No. 140, 48},
mrclass = {60H15 (35K15 35R60 60H05 60H07)},
mrnumber = {4798614},
mrreviewer = {Dejun Luo},
doi = {10.1214/24-ejp1200},
url = {https://doi.org/10.1214/24-ejp1200}
}
@Article{ liu.mueller:89:on,
author = {Liu, Li and Mueller, Carl},
title = {On the extinction of measure-valued critical branching
{B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {17},
year = {1989},
number = {4},
pages = {1463--1465},
issn = {0091-1798},
mrclass = {60G57 (60F99 60J80)},
mrnumber = {1048938},
mrreviewer = {Luis G. Gorostiza},
url = {http://links.jstor.org/sici?sici=0091-1798(198910)17:4<1463:OTEOMC>2.0.CO;2-N&origin=MSN}
}
@Article{ liu.nualart.ea:19:lan,
author = {Liu, Yanghui and Nualart, Eulalia and Tindel, Samy},
title = {L{AN} property for stochastic differential equations with
additive fractional noise and continuous time observation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {129},
year = {2019},
number = {8},
pages = {2880--2902},
issn = {0304-4149},
mrclass = {62M09 (60G22 62F12)},
mrnumber = {3980147},
mrreviewer = {Gilles Teyssi\`ere},
doi = {10.1016/j.spa.2018.08.008},
url = {https://doi.org/10.1016/j.spa.2018.08.008}
}
@Article{ liu.rockner.ea:18:quasi-linear,
author = {Liu, Wei and R\"{o}ckner, Michael and da Silva, Jos\'{e}
Lu\'{i}s},
title = {Quasi-linear (stochastic) partial differential equations
with time-fractional derivatives},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {50},
year = {2018},
number = {3},
pages = {2588--2607},
issn = {0036-1410},
mrclass = {60H15 (35K59 35K92 35R11 35R60 45K05)},
mrnumber = {3800228},
doi = {10.1137/17M1144593},
url = {https://doi.org/10.1137/17M1144593}
}
@Book{ liu.rockner:15:stochastic,
author = {Liu, Wei and R\"{o}ckner, Michael},
title = {Stochastic partial differential equations: an
introduction},
series = {Universitext},
publisher = {Springer, Cham},
year = {2015},
pages = {vi+266},
isbn = {978-3-319-22353-7; 978-3-319-22354-4},
mrclass = {60H15 (35Q30 35Q53 35R60 60-01 60H05 60H10 60J25)},
mrnumber = {3410409},
mrreviewer = {Mark C. Veraar},
doi = {10.1007/978-3-319-22354-4},
url = {https://doi.org/10.1007/978-3-319-22354-4}
}
@Article{ liu.selk.ea:23:convergence,
author = {Liu, Yanghui and Selk, Zachary and Tindel, Samy},
title = {Convergence of trapezoid rule to rough integrals},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {59},
year = {2023},
number = {3},
pages = {1434--1462},
issn = {0246-0203,1778-7017},
mrclass = {60L20 (60G15 60H07)},
mrnumber = {4635715},
doi = {10.1214/22-aihp1282},
url = {https://doi.org/10.1214/22-aihp1282}
}
@Article{ liu.tian.ea:17:on,
author = {Liu, Wei and Tian, Kuanhou and Foondun, Mohammud},
title = {On some properties of a class of fractional stochastic
heat equations},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {30},
year = {2017},
number = {4},
pages = {1310--1333},
issn = {0894-9840},
mrclass = {60H15},
mrnumber = {3736175},
mrreviewer = {Hua Zhang},
doi = {10.1007/s10959-016-0684-6},
url = {https://doi.org/10.1007/s10959-016-0684-6}
}
@Article{ liu.tindel:19:first-order,
author = {Liu, Yanghui and Tindel, Samy},
title = {First-order {E}uler scheme for {SDE}s driven by fractional
{B}rownian motions: the rough case},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {29},
year = {2019},
number = {2},
pages = {758--826},
issn = {1050-5164},
mrclass = {60F17 (60G22 60H10 60H35 60H99 65C30)},
mrnumber = {3910017},
doi = {10.1214/17-AAP1374},
url = {https://doi.org/10.1214/17-AAP1374}
}
@Article{ liu.tindel:20:discrete,
author = {Liu, Yanghui and Tindel, Samy},
title = {Discrete rough paths and limit theorems},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {56},
year = {2020},
number = {3},
pages = {1730--1774},
issn = {0246-0203},
mrclass = {60L20 (60B10 60G15 60G22 60H07)},
mrnumber = {4116706},
doi = {10.1214/19-AIHP1015},
url = {https://doi.org/10.1214/19-AIHP1015}
}
@Article{ liu.wang:16:note,
author = {Liu, Jian-Guo and Wang, Jinhuan},
title = {A note on {$L^infty$}-bound and uniqueness to a degenerate
{K}eller-{S}egel model},
journal = {Acta Appl. Math.},
fjournal = {Acta Applicandae Mathematicae},
volume = {142},
year = {2016},
pages = {173--188},
issn = {0167-8019},
mrclass = {35M31 (35A02 35B35 35B45 35D30 35K57 35K59)},
mrnumber = {3466921},
doi = {10.1007/s10440-015-0022-5},
url = {https://doi.org/10.1007/s10440-015-0022-5}
}
@Article{ liu.watbled:09:exponential,
author = {Liu, Quansheng and Watbled, Fr\'{e}d\'{e}rique},
title = {Exponential inequalities for martingales and asymptotic
properties of the free energy of directed polymers in a
random environment},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {10},
pages = {3101--3132},
issn = {0304-4149},
mrclass = {60F10 (60G42 60K35 60K37 82D30 82D60)},
mrnumber = {2568267},
mrreviewer = {Jean-Baptiste Bardet},
doi = {10.1016/j.spa.2009.05.001},
url = {https://doi.org/10.1016/j.spa.2009.05.001}
}
@Article{ liu.xiao:98:hausdorff,
author = {Liu, Luqin and Xiao, Yimin},
title = {Hausdorff dimension theorems for self-similar {M}arkov
processes},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {18},
year = {1998},
number = {2},
pages = {369--383},
issn = {0208-4147,2300-8113},
mrclass = {60J25 (60G18 60J60)},
mrnumber = {1671608},
mrreviewer = {Mireille\ Chaleyat-Maurel}
}
@Article{ liu.zhang:14:large,
author = {Liu, Kai and Zhang, Tusheng},
title = {A large deviation principle of retarded
{O}rnstein-{U}hlenbeck processes driven by {L}\'{e}vy
noise},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {32},
year = {2014},
number = {5},
pages = {889--910},
issn = {0736-2994},
mrclass = {60H15 (60F10)},
mrnumber = {3254712},
mrreviewer = {Jian Wang},
doi = {10.1080/07362994.2014.939544},
url = {https://doi.org/10.1080/07362994.2014.939544}
}
@Article{ liu:96:existence,
author = {Liu, Yue},
title = {Existence and blow up of solutions of a nonlinear
{P}ochhammer-{C}hree equation},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {45},
year = {1996},
number = {3},
pages = {797--816},
issn = {0022-2518},
mrclass = {35Q72 (35B05)},
mrnumber = {1422107},
mrreviewer = {Juan M. Via\~{n}o Rey},
doi = {10.1512/iumj.1996.45.1121},
url = {https://doi.org/10.1512/iumj.1996.45.1121}
}
@Article{ liu:98:fixed,
author = {Liu, Quansheng},
title = {Fixed points of a generalized smoothing transformation and
applications to the branching random walk},
journal = {Adv. in Appl. Probab.},
fjournal = {Advances in Applied Probability},
volume = {30},
year = {1998},
number = {1},
pages = {85--112},
issn = {0001-8678},
mrclass = {60J80 (60G42 60K35)},
mrnumber = {1618888},
mrreviewer = {Edward C. Waymire},
doi = {10.1239/aap/1035227993},
url = {https://doi.org/10.1239/aap/1035227993}
}
@Article{ lloyd.orbanz.ea:12:random,
title = {Random function priors for exchangeable arrays with
applications to graphs and relational data},
author = {Lloyd, James and Orbanz, Peter and Ghahramani, Zoubin and
Roy, Daniel M},
journal = {Advances in Neural Information Processing Systems},
volume = {25},
pages = {998--1006},
year = {2012},
publisher = {Citeseer}
}
@Book{ logan:13:applied,
author = {Logan, J. David},
title = {Applied mathematics},
edition = {Fourth},
publisher = {John Wiley \& Sons, Inc., Hoboken, NJ},
year = {2013},
pages = {xvi+658},
isbn = {978-1-118-47580-5},
mrclass = {00A69 (00A73 35-01 76-01)},
mrnumber = {3237684}
}
@Article{ loh.sun.ea:21:on,
author = {Loh, Wei-Liem and Sun, Saifei and Wen, Jun},
title = {On fixed-domain asymptotics, parameter estimation and
isotropic {G}aussian random fields with {M}at\'{e}rn
covariance functions},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {49},
year = {2021},
number = {6},
pages = {3127--3152},
issn = {0090-5364},
mrclass = {62M40},
mrnumber = {4352525},
mrreviewer = {A. Ya. Olenko},
doi = {10.1214/21-aos2077},
url = {https://doi.org/10.1214/21-aos2077}
}
@Article{ lohmann.slade.ea:17:critical,
author = {Lohmann, Martin and Slade, Gordon and Wallace, Benjamin
C.},
title = {Critical two-point function for long-range {$O(n)$} models
below the upper critical dimension},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {169},
year = {2017},
number = {6},
pages = {1132--1161},
issn = {0022-4715},
mrclass = {82B41 (82B28)},
mrnumber = {3723429},
mrreviewer = {Moorad Alexanian},
doi = {10.1007/s10955-017-1904-x},
url = {https://doi.org/10.1007/s10955-017-1904-x}
}
@Article{ lohr.mytnik.ea:20:aldous,
author = {L\"{o}hr, Wolfgang and Mytnik, Leonid and Winter, Anita},
title = {The {A}ldous chain on cladograms in the diffusion limit},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {5},
pages = {2565--2590},
issn = {0091-1798},
mrclass = {60B99 (60J25 60J60 60J80)},
mrnumber = {4152651},
doi = {10.1214/20-AOP1431},
url = {https://doi.org/10.1214/20-AOP1431}
}
@InProceedings{ lorenz:96:predictability,
title = {Predictability: A problem partly solved},
author = {Lorenz, Edward N},
booktitle = {Proc. Seminar on predictability},
volume = {1},
number = {1},
year = {1996}
}
@Article{ lorenzi.sinestrari:88:inverse,
author = {Lorenzi, A. and Sinestrari, E.},
title = {An inverse problem in the theory of materials with
memory},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {12},
year = {1988},
number = {12},
pages = {1317--1335},
issn = {0362-546X},
mrclass = {35R30 (45K05 47D05 47G05)},
mrnumber = {972401},
mrreviewer = {Igor Malyshev},
doi = {10.1016/0362-546X(88)90080-6},
url = {https://doi.org/10.1016/0362-546X(88)90080-6}
}
@Article{ lorist.veraar:21:singular,
author = {Lorist, Emiel and Veraar, Mark},
title = {Singular stochastic integral operators},
journal = {Anal. PDE},
fjournal = {Analysis \& PDE},
volume = {14},
year = {2021},
number = {5},
pages = {1443--1507},
issn = {2157-5045,1948-206X},
mrclass = {60H15 (35B65 35R60 42B20 42B37 47D06)},
mrnumber = {4307214},
mrreviewer = {Baris\ Evren\ Ugurcan},
doi = {10.2140/apde.2021.14.1443},
url = {https://doi.org/10.2140/apde.2021.14.1443}
}
@Article{ lorz:12:coupled,
author = {Lorz, Alexander},
title = {A coupled {K}eller-{S}egel-{S}tokes model: global
existence for small initial data and blow-up delay},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {10},
year = {2012},
number = {2},
pages = {555--574},
issn = {1539-6746},
mrclass = {35Q92 (35A01 35B44 35M31)},
mrnumber = {2901320},
doi = {10.4310/CMS.2012.v10.n2.a7},
url = {https://doi.org/10.4310/CMS.2012.v10.n2.a7}
}
@Article{ lototsky:17:small,
author = {Lototsky, S. V.},
title = {Small ball probabilities for the infinite-dimensional
{O}rnstein-{U}hlenbeck process in {S}obolev spaces},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {5},
year = {2017},
number = {2},
pages = {192--219},
issn = {2194-0401},
mrclass = {60H15 (60G15 60J60)},
mrnumber = {3640070},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1007/s40072-016-0085-y},
url = {https://doi.org/10.1007/s40072-016-0085-y}
}
@InCollection{ lotz.mccoy.ea:20:concentration,
author = {Lotz, Martin and McCoy, Michael B. and Nourdin, Ivan and
Peccati, Giovanni and Tropp, Joel A.},
title = {Concentration of the intrinsic volumes of a convex body},
booktitle = {Geometric aspects of functional analysis. {V}ol. {II}},
series = {Lecture Notes in Math.},
volume = {2266},
pages = {139--167},
publisher = {Springer, Cham},
year = {[2020] \copyright 2020},
mrclass = {52A22 (60D05)},
mrnumber = {4175761},
doi = {10.1007/978-3-030-46762-3\_6},
url = {https://doi.org/10.1007/978-3-030-46762-3_6}
}
@Article{ lou.ouyang:16:fractal,
author = {Lou, Shuwen and Ouyang, Cheng},
title = {Fractal dimensions of rough differential equations driven
by fractional {B}rownian motions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {126},
year = {2016},
number = {8},
pages = {2410--2429},
issn = {0304-4149},
mrclass = {60G17 (28D05 60G22)},
mrnumber = {3505232},
mrreviewer = {Horatio Setiawan Boedihardjo},
doi = {10.1016/j.spa.2016.02.005},
url = {https://doi.org/10.1016/j.spa.2016.02.005}
}
@Article{ lou.ouyang:17:local,
author = {Lou, Shuwen and Ouyang, Cheng},
title = {Local times of stochastic differential equations driven by
fractional {B}rownian motions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {11},
pages = {3643--3660},
issn = {0304-4149},
mrclass = {60J55 (60G22 60H10)},
mrnumber = {3707240},
doi = {10.1016/j.spa.2017.03.013},
url = {https://doi.org/10.1016/j.spa.2017.03.013}
}
@Article{ lovasz:93:random,
title = {Random Walks on Graphs: A Survey},
author = {Lov{\'a}sz, L{\'a}szl{\'o}},
journal = {Combinatorics, Paul Erdos is Eighty},
volume = {2},
pages = {1--46},
year = {1993}
}
@Article{ lu.bates.ea:16:dynamics,
author = {Lu, Hong and Bates, Peter W. and L\"{u}, Shujuan and
Zhang, Mingji},
title = {Dynamics of the 3{D} fractional {G}inzburg-{L}andau
equation with multiplicative noise on an unbounded domain},
journal = {Commun. Math. Sci.},
fjournal = {Communications in Mathematical Sciences},
volume = {14},
year = {2016},
number = {1},
pages = {273--295},
issn = {1539-6746,1945-0796},
mrclass = {37L55 (35R11 35R60 37H10 60H15)},
mrnumber = {3407726},
mrreviewer = {Le\ Chen},
doi = {10.4310/CMS.2016.v14.n1.a11},
url = {https://doi.org/10.4310/CMS.2016.v14.n1.a11}
}
@Article{ lu.li:09:note,
author = {Lu, Dawei and Li, Wenbo V.},
title = {A note on multivariate {G}aussian estimates},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {354},
year = {2009},
number = {2},
pages = {704--707},
issn = {0022-247X,1096-0813},
mrclass = {60E15 (60G15)},
mrnumber = {2515252},
mrreviewer = {M.\ Cs\"{o}rg\H{o}},
doi = {10.1016/j.jmaa.2009.01.046},
url = {https://doi.org/10.1016/j.jmaa.2009.01.046}
}
@Article{ lu.mattingly:20:geometric,
author = {Lu, Yulong and Mattingly, Jonathan C.},
title = {Geometric ergodicity of {L}angevin dynamics with {C}oulomb
interactions},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {33},
year = {2020},
number = {2},
pages = {675--699},
issn = {0951-7715,1361-6544},
mrclass = {60K35 (37A60 60B20 65C35 82C31)},
mrnumber = {4048775},
doi = {10.1088/1361-6544/ab514a},
url = {https://doi.org/10.1088/1361-6544/ab514a}
}
@Article{ lu.yin:15:unique,
author = {L\"{u}, Qi and Yin, Zhongqi},
title = {Unique continuation for stochastic heat equations},
journal = {ESAIM Control Optim. Calc. Var.},
fjournal = {ESAIM. Control, Optimisation and Calculus of Variations},
volume = {21},
year = {2015},
number = {2},
pages = {378--398},
issn = {1292-8119,1262-3377},
mrclass = {60H15},
mrnumber = {3348404},
mrreviewer = {Le\ Chen},
doi = {10.1051/cocv/2014027},
url = {https://doi.org/10.1051/cocv/2014027}
}
@Article{ luan.xiao:10:chungs,
author = {Luan, Nana and Xiao, Yimin},
title = {Chung's law of the iterated logarithm for anisotropic
{G}aussian random fields},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {80},
year = {2010},
number = {23-24},
pages = {1886--1895},
issn = {0167-7152},
mrclass = {60G15 (60F15 60G17 60G60)},
mrnumber = {2734256},
mrreviewer = {Alexander V. Bulinskiu{i}},
doi = {10.1016/j.spl.2010.08.016},
url = {https://doi.org/10.1016/j.spl.2010.08.016}
}
@Article{ luan.xiao:12:spectral,
author = {Luan, Nana and Xiao, Yimin},
title = {Spectral conditions for strong local nondeterminism and
exact {H}ausdorff measure of ranges of {G}aussian random
fields},
journal = {J. Fourier Anal. Appl.},
fjournal = {The Journal of Fourier Analysis and Applications},
volume = {18},
year = {2012},
number = {1},
pages = {118--145},
issn = {1069-5869},
mrclass = {60G15 (28A78 60G17 60G60)},
mrnumber = {2885561},
mrreviewer = {Narn-Rueih Shieh},
doi = {10.1007/s00041-011-9193-2},
url = {https://doi.org/10.1007/s00041-011-9193-2}
}
@Article{ lubetzky.thornett.ea:22:maximum,
author = {Lubetzky, Eyal and Thornett, Chris and Zeitouni, Ofer},
title = {Maximum of branching {B}rownian motion in a periodic
environment},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {58},
year = {2022},
number = {4},
pages = {2065--2093},
issn = {0246-0203,1778-7017},
mrclass = {60J80 (60J65)},
mrnumber = {4492971},
mrreviewer = {Xiaowen\ Zhou},
doi = {10.1214/21-aihp1219},
url = {https://doi.org/10.1214/21-aihp1219}
}
@Article{ luchko.gorenflo:98:scale-invariant,
author = {Luchko, Yuri and Gorenflo, Rudolf},
title = {Scale-invariant solutions of a partial differential
equation of fractional order},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {1},
year = {1998},
number = {1},
pages = {63--78},
issn = {1311-0454},
mrclass = {35A30 (26A33 33E30 35C99)},
mrnumber = {1662409}
}
@Article{ luchko.kiryakova:13:mellin,
author = {Luchko, Yuri and Kiryakova, Virginia},
title = {The {M}ellin integral transform in fractional calculus},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis. An International
Journal for Theory and Applications},
volume = {16},
year = {2013},
number = {2},
pages = {405--430},
issn = {1311-0454,1314-2224},
mrclass = {26A33 (33C60 33E30 44A10 44A20)},
mrnumber = {3033696},
mrreviewer = {Gianni\ Pagnini},
doi = {10.2478/s13540-013-0025-8},
url = {https://doi.org/10.2478/s13540-013-0025-8}
}
@Article{ luchko.mainardi.ea:13:propagation,
author = {Luchko, Yuri and Mainardi, Francesco and Povstenko,
Yuriy},
title = {Propagation speed of the maximum of the fundamental
solution to the fractional diffusion-wave equation},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications. An
International Journal},
volume = {66},
year = {2013},
number = {5},
pages = {774--784},
issn = {0898-1221},
mrclass = {35R11 (26A33 35A08)},
mrnumber = {3089385},
doi = {10.1016/j.camwa.2013.01.005},
url = {https://doi.org/10.1016/j.camwa.2013.01.005}
}
@Article{ luchko.matrinez.ea:08:fractional,
author = {Luchko, Yury F. and Matr\'{i}nez, H\'{e}ctor and Trujillo,
Juan J.},
title = {Fractional {F}ourier transform and some of its
applications},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {11},
year = {2008},
number = {4},
pages = {457--470},
issn = {1311-0454},
mrclass = {26A33 (33E12 35K57 42A38)},
mrnumber = {2459737},
mrreviewer = {Dmitry\ Ryabogin}
}
@Article{ luchko.punzi:11:modeling,
author = {Luchko, Yury and Punzi, Alessandro},
title = {Modeling anomalous heat transport in geothermal reservoirs
via fractional diffusion equations},
journal = {GEM Int. J. Geomath.},
fjournal = {GEM. International Journal on Geomathematics},
volume = {1},
year = {2011},
number = {2},
pages = {257--276},
issn = {1869-2672},
mrclass = {86A04 (76S05 80A20)},
mrnumber = {2812070},
doi = {10.1007/s13137-010-0012-8},
url = {https://doi.org/10.1007/s13137-010-0012-8}
}
@Article{ luchko.rivero.ea:10:fractional,
author = {Luchko, Yury F. and Rivero, Margarita and Trujillo, Juan
J. and Velasco, M. Pilar},
title = {Fractional models, non-locality, and complex systems},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications. An
International Journal},
volume = {59},
year = {2010},
number = {3},
pages = {1048--1056},
issn = {0898-1221,1873-7668},
mrclass = {37N20 (26A33 34A08 45J05 54H20)},
mrnumber = {2579469},
doi = {10.1016/j.camwa.2009.05.018},
url = {https://doi.org/10.1016/j.camwa.2009.05.018}
}
@Article{ luchko.yakubovich:94:operational,
author = {Luchko, Yu. F. and Yakubovich, S. B.},
title = {An operational method for solving some classes of
integro-differential equations},
journal = {Differentsial{\cprime}nye Uravneniya},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {30},
year = {1994},
number = {2},
pages = {269--280, 365},
issn = {0374-0641},
mrclass = {45L05 (47G20)},
mrnumber = {1299409},
mrreviewer = {Tian\ You\ Fan}
}
@InCollection{ luchko.yamamoto:18:survey,
author = {Luchko, Yuri and Yamamoto, Masahiro},
title = {A survey on the recent results regarding maximum
principles for the time-fractional diffusion equations},
booktitle = {Frontiers in fractional calculus},
series = {Curr. Dev. Math. Sci.},
volume = {1},
pages = {33--69},
publisher = {Bentham Sci. Publ., Sharjah},
year = {2018},
isbn = {978-1-68108-599-9; 978-1-68108-600-2},
mrclass = {35R11 (26A33 35B50 45K05)},
mrnumber = {3828254},
doi = {10.2174/9781681085999118010005},
url = {https://doi.org/10.2174/9781681085999118010005}
}
@InCollection{ luchko.yamamoto:19:maximum,
author = {Luchko, Yuri and Yamamoto, Masahiro},
title = {Maximum principle for the time-fractional {PDE}s},
booktitle = {Handbook of fractional calculus with applications. {V}ol.
2},
pages = {299--325},
publisher = {De Gruyter, Berlin},
year = {2019},
isbn = {978-3-11-057082-3; 978-3-11-057166-0; 978-3-11-057105-9},
mrclass = {35R11 (26A33 35B50 45K05 60G22)},
mrnumber = {3965399}
}
@Article{ luchko:00:asymptotics,
author = {Luchko, Yu.},
title = {Asymptotics of zeros of the {W}right function},
journal = {Z. Anal. Anwendungen},
fjournal = {Zeitschrift f\"{u}r Analysis und ihre Anwendungen. Journal
for Analysis and its Applications},
volume = {19},
year = {2000},
number = {2},
pages = {583--595},
issn = {0232-2064,1661-4534},
mrclass = {33E20 (30D15 30E15)},
mrnumber = {1769012},
mrreviewer = {H.\ M.\ Srivastava},
doi = {10.4171/ZAA/970},
url = {https://doi.org/10.4171/ZAA/970}
}
@Article{ luchko:08:integral,
author = {Luchko, Yury},
title = {Integral transforms of the {M}ellin convolution type and
their generating operators},
journal = {Integral Transforms Spec. Funct.},
fjournal = {Integral Transforms and Special Functions. An
International Journal},
volume = {19},
year = {2008},
number = {11-12},
pages = {809--851},
issn = {1065-2469,1476-8291},
mrclass = {44A15 (33C60 44A10 44A20 45E10)},
mrnumber = {2467094},
mrreviewer = {K.\ C.\ Gupta},
doi = {10.1080/10652460802091617},
url = {https://doi.org/10.1080/10652460802091617}
}
@InCollection{ luchko:12:anomalous,
author = {Luchko, Yury},
title = {Anomalous diffusion: models, their analysis, and
interpretation},
booktitle = {Advances in applied analysis},
series = {Trends Math.},
pages = {115--145},
publisher = {Birkh\"{a}user/Springer Basel AG, Basel},
year = {2012},
mrclass = {35R11 (26A33 33E12 45K05 60J60)},
mrnumber = {3220528},
doi = {10.1007/978-3-0348-0417-2\_3},
url = {https://doi.org/10.1007/978-3-0348-0417-2_3}
}
@Article{ luchko:13:fractional,
author = {Luchko, Yuri},
title = {Fractional wave equation and damped waves},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {54},
year = {2013},
number = {3},
pages = {031505, 16},
issn = {0022-2488},
mrclass = {35R11 (26A33 33E12 35L15)},
mrnumber = {3059427},
doi = {10.1063/1.4794076},
url = {https://doi.org/10.1063/1.4794076}
}
@Article{ luchko:14:multi-dimensional,
author = {Luchko, Yuri},
title = {Multi-dimensional fractional wave equation and some
properties of its fundamental solution},
journal = {Commun. Appl. Ind. Math.},
fjournal = {Communications in Applied and Industrial Mathematics},
volume = {6},
year = {2014},
number = {1},
pages = {e-485, 21},
mrclass = {35R11 (35A08 45K05 60G50)},
mrnumber = {3277315},
doi = {10.1685/journal.caim.485},
url = {https://doi.org/10.1685/journal.caim.485}
}
@Article{ luchko:15:wave-diffusion,
author = {Luchko, Yuri},
title = {Wave-diffusion dualism of the neutral-fractional
processes},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {293},
year = {2015},
pages = {40--52},
issn = {0021-9991,1090-2716},
mrclass = {35R11 (26A33)},
mrnumber = {3342455},
doi = {10.1016/j.jcp.2014.06.005},
url = {https://doi.org/10.1016/j.jcp.2014.06.005}
}
@Article{ luchko:16:new,
author = {Luchko, Yu.},
title = {A new fractional calculus model for the two-dimensional
anomalous diffusion and its analysis},
journal = {Math. Model. Nat. Phenom.},
fjournal = {Mathematical Modelling of Natural Phenomena},
volume = {11},
year = {2016},
number = {3},
pages = {1--17},
issn = {0973-5348,1760-6101},
mrclass = {82C41},
mrnumber = {3530396},
doi = {10.1051/mmnp/201611301},
url = {https://doi.org/10.1051/mmnp/201611301}
}
@Article{ luchko:18:subordination,
author = {Luchko, Yu.},
title = {Subordination principles for the multi-dimensional
space-time-fractional diffusion-wave equation},
journal = {Teor. u{I}mov\={i}r. Mat. Stat.},
fjournal = {Teor\={i}ya u{I}mov\={i}rnosteu{i} ta Matematichna
Statistika. Ki\"{i}vs{\cprime}kiu{i} Un\={i}versitet
\={i}meni Tarasa Shevchenka},
year = {2018},
number = {98},
pages = {121--141},
issn = {0868-6904},
mrclass = {35R11 (26A33 60E05)},
mrnumber = {3824683},
doi = {10.1090/tpms/1067},
url = {https://doi.org/10.1090/tpms/1067}
}
@InCollection{ luchko:19:wright,
author = {Luchko, Yuri},
title = {The {W}right function and its applications},
booktitle = {Handbook of fractional calculus with applications. {V}ol.
1},
pages = {241--268},
publisher = {De Gruyter, Berlin},
year = {2019},
isbn = {978-3-11-057081-6; 978-3-11-057162-2; 978-3-11-057063-2},
mrclass = {33E20 (26A33 30C15 30D15 44A20 45K05)},
mrnumber = {3888404}
}
@Article{ luchko:20:fractional,
author = {Luchko, Yuri},
title = {Fractional derivatives and the fundamental theorem of
fractional calculus},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis. An International
Journal for Theory and Applications},
volume = {23},
year = {2020},
number = {4},
pages = {939--966},
issn = {1311-0454,1314-2224},
mrclass = {26A33 (26B30 44A10 45E10)},
mrnumber = {4151092},
mrreviewer = {Jyotindra\ C.\ Prajapati},
doi = {10.1515/fca-2020-0049},
url = {https://doi.org/10.1515/fca-2020-0049}
}
@Article{ luchko:23:general,
author = {Luchko, Yuri},
title = {General fractional integrals and derivatives and their
applications},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {455},
year = {2023},
pages = {Paper No. 133906, 8},
issn = {0167-2789,1872-8022},
mrclass = {26A33 (34A08 41A58)},
mrnumber = {4642591},
doi = {10.1016/j.physd.2023.133906},
url = {https://doi.org/10.1016/j.physd.2023.133906}
}
@InCollection{ luchko:99:operational,
author = {Luchko, Yuri},
title = {Operational method in fractional calculus},
note = {TMSF, AUBG'99, Part A (Blagoevgrad)},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {2},
year = {1999},
number = {4},
pages = {463--488},
issn = {1311-0454},
mrclass = {26A33 (44A35)},
mrnumber = {1752383},
mrreviewer = {H. M. Srivastava}
}
@Book{ lukacs:60:characteristic,
author = {Lukacs, Eugene},
title = {Characteristic functions},
series = {Griffin's Statistical Monographs \& Courses, No. 5},
publisher = {Hafner Publishing Co., New York},
year = {1960},
pages = {216},
mrclass = {60.20},
mrnumber = {124075},
mrreviewer = {R. G. Laha}
}
@Article{ lukacs:69:stable,
author = {Lukacs, Eugene},
title = {Stable distributions and their characteristic functions},
journal = {Jber. Deutsch. Math.-Verein.},
fjournal = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
volume = {71},
year = {1969},
number = {Heft 2, Abt. 1},
pages = {84--114},
issn = {0012-0456},
mrclass = {60.20},
mrnumber = {258096},
mrreviewer = {C.-G. Esseen}
}
@Book{ lukacs:70:characteristic,
author = {Lukacs, Eugene},
title = {Characteristic functions},
note = {Second edition, revised and enlarged},
publisher = {Hafner Publishing Co., New York},
year = {1970},
pages = {x+350},
mrclass = {60E05 (62EXX)},
mrnumber = {0346874}
}
@Article{ luks.xiao:17:on,
author = {Luks, Tomasz and Xiao, Yimin},
title = {On the double points of operator stable {L}\'{e}vy
processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {30},
year = {2017},
number = {1},
pages = {297--325},
issn = {0894-9840,1572-9230},
mrclass = {60J25 (60G17 60G51)},
mrnumber = {3615090},
mrreviewer = {Jian\ Wang},
doi = {10.1007/s10959-015-0638-4},
url = {https://doi.org/10.1007/s10959-015-0638-4}
}
@Article{ luks.xiao:20:multiple,
author = {Luks, Tomasz and Xiao, Yimin},
title = {Multiple points of operator semistable {L}\'{e}vy
processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {33},
year = {2020},
number = {1},
pages = {153--179},
issn = {0894-9840,1572-9230},
mrclass = {60J25 (60G17 60G51)},
mrnumber = {4064297},
mrreviewer = {Doncho\ S.\ Donchev},
doi = {10.1007/s10959-018-0859-4},
url = {https://doi.org/10.1007/s10959-018-0859-4}
}
@Book{ lunardi:95:analytic,
author = {Lunardi, Alessandra},
title = {Analytic semigroups and optimal regularity in parabolic
problems},
series = {Modern Birkh\"{a}user Classics},
note = {[2013 reprint of the 1995 original] [MR1329547]},
publisher = {Birkh\"{a}user/Springer Basel AG, Basel},
year = {1995},
pages = {xviii+424},
isbn = {978-3-0348-0556-8; 978-3-0348-0557-5},
mrclass = {47D06 (01A75 34G20 35Kxx 46M35 46N20 47N20 58D25)},
mrnumber = {3012216}
}
@Article{ luo.mattingly:17:scaling,
author = {Luo, Shishi and Mattingly, Jonathan C.},
title = {Scaling limits of a model for selection at two scales},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {30},
year = {2017},
number = {4},
pages = {1682--1707},
issn = {0951-7715,1361-6544},
mrclass = {92D25 (35F55 35Q92 37L55 60J28 60J68 60J70 92D15)},
mrnumber = {3636315},
mrreviewer = {Reinhard\ Redlinger},
doi = {10.1088/1361-6544/aa5499},
url = {https://doi.org/10.1088/1361-6544/aa5499}
}
@Article{ luo.saal:20:scaling,
author = {Luo, Dejun and Saal, Martin},
title = {A scaling limit for the stochastic m{SQG} equations with
multiplicative transport noises},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {20},
year = {2020},
number = {6},
pages = {2040001, 21},
issn = {0219-4937},
mrclass = {60H15 (35Q86 35R60)},
mrnumber = {4161966},
doi = {10.1142/S0219493720400018},
url = {https://doi.org/10.1142/S0219493720400018}
}
@Article{ luo.wang:23:well,
author = {Luo, Dejun and Wang, Danli},
title = {Well posedness and limit theorems for a class of
stochastic dyadic models},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {55},
year = {2023},
number = {2},
pages = {1464--1498},
issn = {0036-1410},
mrclass = {60H15 (35Q35 60H50)},
mrnumber = {4580752},
doi = {10.1137/22M1511497},
url = {https://doi.org/10.1137/22M1511497}
}
@Article{ luo:21:convergence,
author = {Luo, Dejun},
title = {Convergence of stochastic 2{D} inviscid {B}oussinesq
equations with transport noise to a deterministic viscous
system},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {34},
year = {2021},
number = {12},
pages = {8311--8330},
issn = {0951-7715},
mrclass = {35Q35 (60H15 76D09 76M35)},
mrnumber = {4344717},
doi = {10.1088/1361-6544/ac3145},
url = {https://doi.org/10.1088/1361-6544/ac3145}
}
@Article{ luo:23:regularization,
author = {Luo, Dejun},
title = {Regularization by transport noises for 3{D} {MHD}
equations},
journal = {Sci. China Math.},
fjournal = {Science China. Mathematics},
volume = {66},
year = {2023},
number = {6},
pages = {1375--1394},
issn = {1674-7283},
mrclass = {60H15 (35Q60 60H50 76W05 78A25)},
mrnumber = {4596052},
doi = {10.1007/s11425-021-1981-9},
url = {https://doi.org/10.1007/s11425-021-1981-9}
}
@Article{ luspaui.alhimova:73:on,
author = {Lu\v{s}pau{i}, N. E. and Alhimova, V. M.},
title = {On the question of best quadrature formulas for classes of
differentiable functions},
journal = {Izv. Vys\v{s}. U\v{c}ebn. Zaved. Matematika},
fjournal = {Izvestija Vys\v{s}ih U\v{c}ebnyh Zavedeniu{i} Matematika},
year = {1973},
number = {12(139)},
pages = {50--56},
issn = {0021-3446},
mrclass = {41A55},
mrnumber = {435698},
mrreviewer = {B. Boyanov}
}
@Article{ luttinger:83:asymptotic,
author = {Luttinger, J. M.},
title = {The asymptotic evaluation of a class of path integrals.
{II}},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {24},
year = {1983},
number = {8},
pages = {2070--2073},
issn = {0022-2488},
mrclass = {81C35 (28C20)},
mrnumber = {713539},
mrreviewer = {Tack-Wang Lee},
doi = {10.1063/1.525949},
url = {https://doi.org/10.1063/1.525949}
}
@Article{ lv.wei:21:blowup,
author = {Lv, Guangying and Wei, Jinlong},
title = {Blowup of parabolic equations with additive noise},
journal = {Appl. Math. Lett.},
fjournal = {Applied Mathematics Letters. An International Journal of
Rapid Publication},
volume = {121},
year = {2021},
pages = {Paper No. 107475, 5},
issn = {0893-9659,1873-5452},
mrclass = {35R60 (60H15)},
mrnumber = {4280778},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.aml.2021.107475},
url = {https://doi.org/10.1016/j.aml.2021.107475}
}
@Article{ lygkonis.zygouras:22:edwards-wilkinson,
author = {Lygkonis, Dimitris and Zygouras, Nikos},
title = {Edwards-{W}ilkinson fluctuations for the directed polymer
in the full {$L^2$}-regime for dimensions {$d\geq3$}},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {58},
year = {2022},
number = {1},
pages = {65--104},
issn = {0246-0203},
mrclass = {82B44 (60K35 82D60)},
mrnumber = {4374673},
mrreviewer = {Xiaolin Zeng},
doi = {10.1214/21-aihp1173},
url = {https://doi.org/10.1214/21-aihp1173}
}
@Book{ lyons.caruana.ea:07:differential,
author = {Lyons, Terry J. and Caruana, Michael and L\'{e}vy,
Thierry},
title = {Differential equations driven by rough paths},
series = {Lecture Notes in Mathematics},
volume = {1908},
note = {Lectures from the 34th Summer School on Probability Theory
held in Saint-Flour, July 6--24, 2004, With an introduction
concerning the Summer School by Jean Picard},
publisher = {Springer, Berlin},
year = {2007},
pages = {xviii+109},
isbn = {978-3-540-71284-8; 3-540-71284-4},
mrclass = {60H10 (60-02 60H07)},
mrnumber = {2314753},
mrreviewer = {Bohdan Maslowski}
}
@Article{ lyons.pemantle.ea:96:biased,
author = {Lyons, Russell and Pemantle, Robin and Peres, Yuval},
title = {Biased random walks on {G}alton-{W}atson trees},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {106},
year = {1996},
number = {2},
pages = {249--264},
issn = {0178-8051},
mrclass = {60J80 (60J15)},
mrnumber = {1410689},
mrreviewer = {Ben Hambly},
doi = {10.1007/s004400050064},
url = {https://doi.org/10.1007/s004400050064}
}
@Book{ lyons.peres:16:probability,
author = {Lyons, Russell and Peres, Yuval},
title = {Probability on trees and networks},
series = {Cambridge Series in Statistical and Probabilistic
Mathematics},
volume = {42},
publisher = {Cambridge University Press, New York},
year = {2016},
pages = {xv+699},
isbn = {978-1-107-16015-6},
mrclass = {60C05 (05C05 05C81 28A80 60J10 60J80 60K35 82B41)},
mrnumber = {3616205},
mrreviewer = {Laurent Miclo},
doi = {10.1017/9781316672815},
url = {https://doi.org/10.1017/9781316672815}
}
@Book{ lyons.qian:02:system,
author = {Lyons, Terry and Qian, Zhongmin},
title = {System control and rough paths},
series = {Oxford Mathematical Monographs},
note = {Oxford Science Publications},
publisher = {Oxford University Press, Oxford},
year = {2002},
pages = {x+216},
isbn = {0-19-850648-1},
mrclass = {93-02 (60H05 60H30 60J65 93C10)},
mrnumber = {2036784},
mrreviewer = {Daniel Ocone},
doi = {10.1093/acprof:oso/9780198506485.001.0001},
url = {https://doi.org/10.1093/acprof:oso/9780198506485.001.0001}
}
@Article{ lyons.zeitouni:99:conditional,
author = {Lyons, Terry and Zeitouni, Ofer},
title = {Conditional exponential moments for iterated {W}iener
integrals},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {27},
year = {1999},
number = {4},
pages = {1738--1749},
issn = {0091-1798,2168-894X},
mrclass = {60J65 (60E15 60H05 60J60)},
mrnumber = {1742886},
mrreviewer = {David\ Nualart},
doi = {10.1214/aop/1022677546},
url = {https://doi.org/10.1214/aop/1022677546}
}
@Article{ lyons:03:determinantal,
author = {Lyons, Russell},
title = {Determinantal probability measures},
journal = {Publ. Math. Inst. Hautes \'{E}tudes Sci.},
fjournal = {Publications Math\'{e}matiques. Institut de Hautes
\'{E}tudes Scientifiques},
number = {98},
year = {2003},
pages = {167--212},
issn = {0073-8301},
mrclass = {60D05 (05C05 60C05 60E15)},
mrnumber = {2031202},
mrreviewer = {Lutz Peter Klotz},
doi = {10.1007/s10240-003-0016-0},
url = {https://doi.org/10.1007/s10240-003-0016-0}
}
@Article{ lyons:90:random,
author = {Lyons, Russell},
title = {Random walks and percolation on trees},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {18},
year = {1990},
number = {3},
pages = {931--958},
issn = {0091-1798},
mrclass = {60J15 (05C05 60K35 82B41 82B43)},
mrnumber = {1062053},
mrreviewer = {Gregory F. Lawler},
url = {http://links.jstor.org/sici?sici=0091-1798(199007)18:3<931:RWAPOT>2.0.CO;2-6&origin=MSN}
}
@Article{ lyons:91:on,
author = {Lyons, Terry},
title = {On the nonexistence of path integrals},
journal = {Proc. Roy. Soc. London Ser. A},
fjournal = {Proceedings of the Royal Society. London. Series A.
Mathematical, Physical and Engineering Sciences},
volume = {432},
year = {1991},
number = {1885},
pages = {281--290},
issn = {0962-8444},
mrclass = {60H05},
mrnumber = {1116958},
mrreviewer = {Kiyosi It\^{o}},
doi = {10.1098/rspa.1991.0017},
url = {https://doi.org/10.1098/rspa.1991.0017}
}
@Article{ lyons:98:differential,
author = {Lyons, Terry J.},
title = {Differential equations driven by rough signals},
journal = {Rev. Mat. Iberoamericana},
fjournal = {Revista Matem\'{a}tica Iberoamericana},
volume = {14},
year = {1998},
number = {2},
pages = {215--310},
issn = {0213-2230},
mrclass = {60H10 (34A99 34F05 37H99)},
mrnumber = {1654527},
mrreviewer = {Ben Hambly},
doi = {10.4171/RMI/240},
url = {https://doi.org/10.4171/RMI/240}
}
@Article{ lytvynov:02:fermion,
author = {Lytvynov, Eugene},
title = {Fermion and boson random point processes as particle
distributions of infinite free {F}ermi and {B}ose gases of
finite density},
journal = {Rev. Math. Phys.},
fjournal = {Reviews in Mathematical Physics. A Journal for Both Review
and Original Research Papers in the Field of Mathematical
Physics},
volume = {14},
year = {2002},
number = {10},
pages = {1073--1098},
issn = {0129-055X},
mrclass = {81S25 (60G55 81S05 82B10)},
mrnumber = {1939761},
mrreviewer = {Wolfgang Freudenberg},
doi = {10.1142/S0129055X02001533},
url = {https://doi.org/10.1142/S0129055X02001533}
}
@Article{ ma.nualart.ea:20:intermittency,
author = {Ma, Nicholas and Nualart, David and Xia, Panqiu},
title = {Intermittency for the parabolic {A}nderson model of
{S}korohod type driven by a rough noise},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {25},
year = {2020},
pages = {Paper No. 48, 10},
mrclass = {60H15},
mrnumber = {4125795},
mrreviewer = {Raluca M. Balan},
doi = {10.1214/20-ecp327},
url = {https://doi.org/10.1214/20-ecp327}
}
@Article{ ma.nualart:20:rate,
author = {Ma, Nicholas and Nualart, David},
title = {Rate of convergence for the weighted {H}ermite variations
of the fractional {B}rownian motion},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {33},
year = {2020},
number = {4},
pages = {1919--1947},
issn = {0894-9840},
mrclass = {60F05 (60G22 60H07)},
mrnumber = {4166187},
mrreviewer = {Xiuwei Yin},
doi = {10.1007/s10959-019-00940-x},
url = {https://doi.org/10.1007/s10959-019-00940-x}
}
@Book{ ma.rockner:92:introduction,
author = {Ma, Zhi Ming and R\"{o}ckner, Michael},
title = {Introduction to the theory of (nonsymmetric) {D}irichlet
forms},
series = {Universitext},
publisher = {Springer-Verlag, Berlin},
year = {1992},
pages = {vi+209},
isbn = {3-540-55848-9},
mrclass = {60J40 (31C25 60J45)},
mrnumber = {1214375},
mrreviewer = {Tu Sheng Zhang},
doi = {10.1007/978-3-642-77739-4},
url = {https://doi.org/10.1007/978-3-642-77739-4}
}
@Article{ macchi:75:coincidence,
author = {Macchi, Odile},
title = {The coincidence approach to stochastic point processes},
journal = {Advances in Appl. Probability},
fjournal = {Advances in Applied Probability},
volume = {7},
year = {1975},
pages = {83--122},
issn = {0001-8678},
mrclass = {60G55},
mrnumber = {380979},
mrreviewer = {Jan Grandell},
doi = {10.2307/1425855},
url = {https://doi.org/10.2307/1425855}
}
@Book{ macdonald:15:symmetric,
author = {Macdonald, I. G.},
title = {Symmetric functions and {H}all polynomials},
series = {Oxford Classic Texts in the Physical Sciences},
edition = {Second},
note = {With contribution by A. V. Zelevinsky and a foreword by
Richard Stanley, Reprint of the 2008 paperback edition [
MR1354144]},
publisher = {The Clarendon Press, Oxford University Press, New York},
year = {2015},
pages = {xii+475},
isbn = {978-0-19-873912-8},
mrclass = {05E05 (01A75 05-02 20C30 20C33 20K01 33C80 33D80)},
mrnumber = {3443860}
}
@Book{ macdonald:95:symmetric,
author = {Macdonald, I. G.},
title = {Symmetric functions and {H}all polynomials},
series = {Oxford Mathematical Monographs},
edition = {Second},
note = {With contributions by A. Zelevinsky, Oxford Science
Publications},
publisher = {The Clarendon Press, Oxford University Press, New York},
year = {1995},
pages = {x+475},
isbn = {0-19-853489-2},
mrclass = {05E05 (05-02 20C30 20C33 20K01 33C80 33D80)},
mrnumber = {1354144},
mrreviewer = {John R. Stembridge}
}
@Book{ macosko:96:rheology,
title = {Rheology: principles, measurements, and applications},
author = {Christopher W. Macosko},
isbn = {978-0-471-18575-8},
year = {1996},
publisher = {Wiley-VCH}
}
@Article{ madaule.rhodes.ea:15:glassy,
author = {Madaule, Thomas and Rhodes, R\'emi and Vargas, Vincent},
title = {The glassy phase of complex branching {B}rownian motion},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {334},
year = {2015},
number = {3},
pages = {1157--1187},
issn = {0010-3616,1432-0916},
mrclass = {60G57 (60J80)},
mrnumber = {3312433},
mrreviewer = {Yueyun\ Hu},
doi = {10.1007/s00220-014-2257-9},
url = {https://doi.org/10.1007/s00220-014-2257-9}
}
@Article{ madaule.rhodes.ea:16:glassy,
author = {Madaule, Thomas and Rhodes, R\'emi and Vargas, Vincent},
title = {Glassy phase and freezing of log-correlated {G}aussian
potentials},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {2},
pages = {643--690},
issn = {1050-5164,2168-8737},
mrclass = {60G57 (60G15 82D30)},
mrnumber = {3476621},
mrreviewer = {Flora\ Koukiou},
doi = {10.1214/14-AAP1071},
url = {https://doi.org/10.1214/14-AAP1071}
}
@Article{ madaule:15:maximum,
author = {Madaule, Thomas},
title = {Maximum of a log-correlated {G}aussian field},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {51},
year = {2015},
number = {4},
pages = {1369--1431},
issn = {0246-0203},
mrclass = {60G15 (60F05)},
mrnumber = {3414451},
mrreviewer = {Amites Dasgupta},
doi = {10.1214/14-AIHP633},
url = {https://doi.org/10.1214/14-AIHP633}
}
@Book{ madras.slade:93:self-avoiding,
author = {Madras, Neal and Slade, Gordon},
title = {The self-avoiding walk},
series = {Probability and its Applications},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {1993},
pages = {xiv+425},
isbn = {0-8176-3589-0},
mrclass = {82-02 (60K35 82B41 82C22 82D60)},
mrnumber = {1197356},
mrreviewer = {Cheng Xun Wu}
}
@Article{ madras:14:lower,
author = {Madras, Neal},
title = {A lower bound for the end-to-end distance of the
self-avoiding walk},
journal = {Canad. Math. Bull.},
fjournal = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'{e}matiques},
volume = {57},
year = {2014},
number = {1},
pages = {113--118},
issn = {0008-4395},
mrclass = {60G50 (60E15 82B41)},
mrnumber = {3150723},
mrreviewer = {Dimitri Petritis},
doi = {10.4153/CMB-2012-022-6},
url = {https://doi.org/10.4153/CMB-2012-022-6}
}
@Article{ maejima.tudor:07:wiener,
author = {Maejima, Makoto and Tudor, Ciprian A.},
title = {Wiener integrals with respect to the {H}ermite process and
a non-central limit theorem},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {25},
year = {2007},
number = {5},
pages = {1043--1056},
issn = {0736-2994,1532-9356},
mrclass = {60H05 (60F05 60G18)},
mrnumber = {2352951},
mrreviewer = {Anna\ Talarczyk},
doi = {10.1080/07362990701540519},
url = {https://doi.org/10.1080/07362990701540519}
}
@Article{ maejima.tudor:12:selfsimilar,
author = {Maejima, M. and Tudor, C. A.},
title = {Selfsimilar processes with stationary increments in the
second {W}iener chaos},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {32},
year = {2012},
number = {1},
pages = {167--186},
issn = {0208-4147,2300-8113},
mrclass = {60G18 (60F05 60H05)},
mrnumber = {2959876},
mrreviewer = {No\`elia\ Viles}
}
@Article{ maejima.tudor:13:on,
author = {Maejima, Makoto and Tudor, Ciprian A.},
title = {On the distribution of the {R}osenblatt process},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {83},
year = {2013},
number = {6},
pages = {1490--1495},
issn = {0167-7152,1879-2103},
mrclass = {60E07 (60G18)},
mrnumber = {3048314},
mrreviewer = {Guangjun\ Shen},
doi = {10.1016/j.spl.2013.02.019},
url = {https://doi.org/10.1016/j.spl.2013.02.019}
}
@Article{ maes.thiery:17:midpoint,
author = {Maes, Christian and Thiery, Thimoth\'{e}e},
title = {Midpoint distribution of directed polymers in the
stationary regime: exact result through linear response},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {168},
year = {2017},
number = {5},
pages = {937--963},
issn = {0022-4715},
mrclass = {82D60},
mrnumber = {3682959},
doi = {10.1007/s10955-017-1839-2},
url = {https://doi.org/10.1007/s10955-017-1839-2}
}
@Article{ magdziarz.schilling:15:asymptotic,
author = {Magdziarz, Marcin and Schilling, Ren\'{e} L.},
title = {Asymptotic properties of {B}rownian motion delayed by
inverse subordinators},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {143},
year = {2015},
number = {10},
pages = {4485--4501},
issn = {0002-9939},
mrclass = {60G17 (60G52)},
mrnumber = {3373947},
mrreviewer = {Peter Kern},
doi = {10.1090/proc/12588},
url = {https://doi.org/10.1090/proc/12588}
}
@Article{ magdziarz.weron:11:ergodic,
author = {Magdziarz, Marcin and Weron, Aleksander},
title = {Ergodic properties of anomalous diffusion processes},
journal = {Ann. Physics},
fjournal = {Annals of Physics},
volume = {326},
year = {2011},
number = {9},
pages = {2431--2443},
issn = {0003-4916},
mrclass = {60G10 (60G51 60J60)},
mrnumber = {2825444},
mrreviewer = {Jian Wang},
doi = {10.1016/j.aop.2011.04.015},
url = {https://doi.org/10.1016/j.aop.2011.04.015}
}
@Article{ magdziarz:09:langevin,
author = {Magdziarz, Marcin},
title = {Langevin picture of subdiffusion with infinitely divisible
waiting times},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {135},
year = {2009},
number = {4},
pages = {763--772},
issn = {0022-4715},
mrclass = {82C31 (82C70)},
mrnumber = {2546742},
doi = {10.1007/s10955-009-9751-z},
url = {https://doi.org/10.1007/s10955-009-9751-z}
}
@Article{ magdziarz:09:stochastic,
author = {Magdziarz, Marcin},
title = {Stochastic representation of subdiffusion processes with
time-dependent drift},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {10},
pages = {3238--3252},
issn = {0304-4149},
mrclass = {60G35 (60H10)},
mrnumber = {2568272},
doi = {10.1016/j.spa.2009.05.006},
url = {https://doi.org/10.1016/j.spa.2009.05.006}
}
@Article{ magdziarz:10:path,
author = {Magdziarz, Marcin},
title = {Path properties of subdiffusion---a martingale approach},
journal = {Stoch. Models},
fjournal = {Stochastic Models},
volume = {26},
year = {2010},
number = {2},
pages = {256--271},
issn = {1532-6349},
mrclass = {60G17 (60F15 60G44 60G52)},
mrnumber = {2739351},
mrreviewer = {Thierry Edmond Huillet},
doi = {10.1080/15326341003756379},
url = {https://doi.org/10.1080/15326341003756379}
}
@Article{ magin:10:fractional,
author = {Magin, Richard L.},
title = {Fractional calculus models of complex dynamics in
biological tissues},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications. An
International Journal},
volume = {59},
year = {2010},
number = {5},
pages = {1586--1593},
issn = {0898-1221},
mrclass = {92C30 (26A33)},
mrnumber = {2595930},
doi = {10.1016/j.camwa.2009.08.039},
url = {https://doi.org/10.1016/j.camwa.2009.08.039}
}
@Article{ magnen.seneor:76:infinite,
author = {Magnen, J. and S\'{e}n\'{e}or, R.},
title = {The infinite volume limit of the {$\phi ^{4}_{3}$} model},
journal = {Ann. Inst. H. Poincar\'{e} Sect. A (N.S.)},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Section A.
Physique Th\'{e}orique. Nouvelle S\'{e}rie},
volume = {24},
year = {1976},
number = {2},
pages = {95--159},
issn = {0246-0211},
mrclass = {81.47},
mrnumber = {406217},
mrreviewer = {Thomas Spencer},
doi = {10.1007/s11245-005-1376-5},
url = {https://doi.org/10.1007/s11245-005-1376-5}
}
@Article{ magnen.unterberger:18:scaling,
author = {Magnen, Jacques and Unterberger, J\'{e}r\'{e}mie},
title = {The scaling limit of the {KPZ} equation in space dimension
3 and higher},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {171},
year = {2018},
number = {4},
pages = {543--598},
issn = {0022-4715},
mrclass = {35K59 (35B50 35B51 35D40 35Q82 35R60 60H15 82C41)},
mrnumber = {3790153},
doi = {10.1007/s10955-018-2014-0},
url = {https://doi.org/10.1007/s10955-018-2014-0}
}
@Book{ magnus.oberhettinger:48:formeln,
author = {Magnus, Wilhelm and Oberhettinger, Fritz},
title = {Formeln und {S}\"{a}tze f\"{u}r die speziellen
{F}unktionen der mathematischen {P}hysik},
note = {2d ed},
publisher = {Springer-Verlag, Berlin},
year = {1948},
pages = {viii+230},
mrclass = {33.0X},
mrnumber = {25629}
}
@Article{ magri:78:simple,
author = {Magri, Franco},
title = {A simple model of the integrable {H}amiltonian equation},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {19},
year = {1978},
number = {5},
pages = {1156--1162},
issn = {0022-2488},
mrclass = {35Q99 (58F05)},
mrnumber = {488516},
mrreviewer = {Alexander A. Pankov},
doi = {10.1063/1.523777},
url = {https://doi.org/10.1063/1.523777}
}
@Article{ magzhan.jani:13:review,
title = {A review and evaluations of shortest path algorithms},
author = {Magzhan, Kairanbay and Jani, Hajar Mat},
journal = {International Journal of Scientific \& Technology
Research},
volume = {2},
number = {6},
pages = {99--104},
year = {2013},
publisher = {Citeseer}
}
@Book{ mahboubi:12:intermittency,
author = {Mahboubi, Pejman},
title = {Intermittency of the {M}alliavin {D}erivatives and
{R}egularity of the {D}ensities for a {S}tochastic {H}eat
{E}quation},
note = {Thesis (Ph.D.)--University of California, Los Angeles},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2012},
pages = {79},
isbn = {978-1267-38883-4},
mrclass = {Thesis},
mrnumber = {3047228},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3511287}
}
@Article{ mai.nane.ea:22:terminal,
author = {Mai, Vinh Quang and Nane, Erkan and O'Regan, Donal and
Tuan, Nguyen Huy},
title = {Terminal value problem for nonlinear parabolic equation
with {G}aussian white noise},
journal = {Electron. Res. Arch.},
fjournal = {Electronic Research Archive},
volume = {30},
year = {2022},
number = {4},
pages = {1374--1413},
mrclass = {35Q60 (60H15)},
mrnumber = {4401203},
doi = {10.3934/era.2022072},
url = {https://doi.org/10.3934/era.2022072}
}
@Article{ maillard.rhodes.ea:16:liouville,
author = {Maillard, P. and Rhodes, R. and Vargas, V. and Zeitouni,
O.},
title = {Liouville heat kernel: regularity and bounds},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {52},
year = {2016},
number = {3},
pages = {1281--1320},
issn = {0246-0203,1778-7017},
mrclass = {35K08 (35B45 35B65 60J55 60J70 60K37)},
mrnumber = {3531710},
mrreviewer = {Jia-Yong\ Wu},
doi = {10.1214/15-AIHP676},
url = {https://doi.org/10.1214/15-AIHP676}
}
@Article{ maillard.zeitouni:14:performance,
author = {Maillard, Pascal and Zeitouni, Ofer},
title = {Performance of the {M}etropolis algorithm on a disordered
tree: the {E}instein relation},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {24},
year = {2014},
number = {5},
pages = {2070--2090},
issn = {1050-5164,2168-8737},
mrclass = {60K37 (60J22 65C05 82C41 90C15)},
mrnumber = {3226172},
mrreviewer = {Carsten\ Hartmann},
doi = {10.1214/13-AAP972},
url = {https://doi.org/10.1214/13-AAP972}
}
@Article{ maillard.zeitouni:16:slowdown,
author = {Maillard, Pascal and Zeitouni, Ofer},
title = {Slowdown in branching {B}rownian motion with inhomogeneous
variance},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {52},
year = {2016},
number = {3},
pages = {1144--1160},
issn = {0246-0203,1778-7017},
mrclass = {60J80 (58J65 60J65)},
mrnumber = {3531703},
mrreviewer = {Bastien\ Mallein},
doi = {10.1214/15-AIHP675},
url = {https://doi.org/10.1214/15-AIHP675}
}
@InCollection{ mainardi.gorenflo:00:on,
author = {Mainardi, Francesco and Gorenflo, Rudolf},
title = {On {M}ittag-{L}effler-type functions in fractional
evolution processes},
note = {Higher transcendental functions and their applications},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {118},
year = {2000},
number = {1-2},
pages = {283--299},
issn = {0377-0427},
mrclass = {45J05 (26A33 33E20 34A05 45E10)},
mrnumber = {1765955},
mrreviewer = {Anatoly Kilbas},
doi = {10.1016/S0377-0427(00)00294-6},
url = {https://doi.org/10.1016/S0377-0427(00)00294-6}
}
@Article{ mainardi.luchko.ea:01:fundamental,
author = {Mainardi, Francesco and Luchko, Yuri and Pagnini, Gianni},
title = {The fundamental solution of the space-time fractional
diffusion equation},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {4},
year = {2001},
number = {2},
pages = {153--192},
issn = {1311-0454},
mrclass = {26A33 (33E12 44A10 45K05)},
mrnumber = {1829592},
mrreviewer = {K. C. Gupta}
}
@Article{ mainardi.mura.ea:08:time-fractional,
author = {Mainardi, Francesco and Mura, Antonio and Pagnini, Gianni
and Gorenflo, Rudolf},
title = {Time-fractional diffusion of distributed order},
journal = {J. Vib. Control},
fjournal = {Journal of Vibration and Control},
volume = {14},
year = {2008},
number = {9-10},
pages = {1267--1290},
issn = {1077-5463,1741-2986},
mrclass = {35K57 (26A33 44A15)},
mrnumber = {2463064},
doi = {10.1177/1077546307087452},
url = {https://doi.org/10.1177/1077546307087452}
}
@Article{ mainardi.mura.ea:10:m-wright,
author = {Mainardi, Francesco and Mura, Antonio and Pagnini,
Gianni},
title = {The {$M$}-{W}right function in time-fractional diffusion
processes: a tutorial survey},
journal = {Int. J. Differ. Equ.},
fjournal = {International Journal of Differential Equations},
year = {2010},
pages = {Art. ID 104505, 29},
issn = {1687-9643},
mrclass = {60J60 (26A33 35R11)},
mrnumber = {2592742},
doi = {10.1155/2010/104505},
url = {https://doi.org/10.1155/2010/104505}
}
@Article{ mainardi.pagnini.ea:03:mellin,
author = {Mainardi, Francesco and Pagnini, Gianni and Gorenflo,
Rudolf},
title = {Mellin transform and subordination laws in fractional
diffusion processes},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {6},
year = {2003},
number = {4},
pages = {441--459},
issn = {1311-0454},
mrclass = {60G18 (44A15 60G52)},
mrnumber = {2044309},
mrreviewer = {Jutta\ Groos}
}
@Article{ mainardi.pagnini.ea:05:fox,
author = {Mainardi, Francesco and Pagnini, Gianni and Saxena, R.
K.},
title = {Fox {$H$} functions in fractional diffusion},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {178},
year = {2005},
number = {1-2},
pages = {321--331},
issn = {0377-0427,1879-1778},
mrclass = {26A33 (33C60 33E20 35K57 44A15 60G18 60J60)},
mrnumber = {2127888},
mrreviewer = {R.\ K.\ Raina},
doi = {10.1016/j.cam.2004.08.006},
url = {https://doi.org/10.1016/j.cam.2004.08.006}
}
@Article{ mainardi.pagnini.ea:07:some,
author = {Mainardi, Francesco and Pagnini, Gianni and Gorenflo,
Rudolf},
title = {Some aspects of fractional diffusion equations of single
and distributed order},
journal = {Appl. Math. Comput.},
fjournal = {Applied Mathematics and Computation},
volume = {187},
year = {2007},
number = {1},
pages = {295--305},
issn = {0096-3003,1873-5649},
mrclass = {60J60 (26A33 60G18)},
mrnumber = {2323582},
doi = {10.1016/j.amc.2006.08.126},
url = {https://doi.org/10.1016/j.amc.2006.08.126}
}
@InCollection{ mainardi.pagnini:03:wright,
author = {Mainardi, Francesco and Pagnini, Gianni},
title = {The {W}right functions as solutions of the time-fractional
diffusion equation},
note = {Advanced special functions and related topics in
differential equations (Melfi, 2001)},
journal = {Appl. Math. Comput.},
fjournal = {Applied Mathematics and Computation},
volume = {141},
year = {2003},
number = {1},
pages = {51--62},
issn = {0096-3003,1873-5649},
mrclass = {35R10 (26A33 33C60 33E20 35C15 35G10)},
mrnumber = {1984227},
mrreviewer = {Anatoly\ Kilbas},
doi = {10.1016/S0096-3003(02)00320-X},
url = {https://doi.org/10.1016/S0096-3003(02)00320-X}
}
@Article{ mainardi.pagnini:07:role,
author = {Mainardi, Francesco and Pagnini, Gianni},
title = {The role of the {F}ox-{W}right functions in fractional
sub-diffusion of distributed order},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {207},
year = {2007},
number = {2},
pages = {245--257},
issn = {0377-0427,1879-1778},
mrclass = {26A33 (33C65 33E12 44A10)},
mrnumber = {2345245},
mrreviewer = {Mridula\ Garg},
doi = {10.1016/j.cam.2006.10.014},
url = {https://doi.org/10.1016/j.cam.2006.10.014}
}
@Book{ mainardi:10:fractional,
author = {Mainardi, Francesco},
title = {Fractional calculus and waves in linear viscoelasticity},
note = {An introduction to mathematical models},
publisher = {Imperial College Press, London},
year = {2010},
pages = {xx+347},
isbn = {978-1-84816-329-4; 1-84816-329-0},
mrclass = {74-02 (26A33 74Cxx 74D05)},
mrnumber = {2676137},
doi = {10.1142/9781848163300},
url = {https://doi.org/10.1142/9781848163300}
}
@Article{ mainardi:93:energy,
author = {Mainardi, Francesco},
title = {Energy propagation for dispersive waves in dissipative
media},
journal = {Radiophys. and Quantum Electronics},
fjournal = {Radiophysics and Quantum Electronics},
volume = {36},
year = {1993},
number = {7},
pages = {423--434 (1994)},
issn = {0033-8443},
mrclass = {35L40 (35E20 35Q60 76B15 76C10 78A40)},
mrnumber = {1427027},
doi = {10.1007/BF01040256},
url = {https://doi.org/10.1007/BF01040256}
}
@InCollection{ mainardi:94:on,
author = {Mainardi, Francesco},
title = {On the initial value problem for the fractional
diffusion-wave equation},
booktitle = {Waves and stability in continuous media ({B}ologna,
1993)},
series = {Ser. Adv. Math. Appl. Sci.},
volume = {23},
pages = {246--251},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1994},
mrclass = {35K99},
mrnumber = {1320083}
}
@Article{ mainardi:95:time,
author = {Mainardi, F.},
title = {The time fractional diffusion-wave equation},
journal = {Izv. Vyssh. Uchebn. Zaved. Radiofiz.},
fjournal = {Izvestiya Vysshikh Uchebnykh Zavedeniu{i}. Radiofizika},
volume = {38},
year = {1995},
number = {1-2},
pages = {20--36},
issn = {0021-3462},
mrclass = {35L05 (26A33 35L99)},
mrnumber = {1427165},
doi = {10.1007/BF01051854},
url = {https://doi.org/10.1007/BF01051854}
}
@Article{ mainardi:96:fractional,
author = {Mainardi, Francesco},
title = {Fractional relaxation-oscillation and fractional
diffusion-wave phenomena},
journal = {Chaos Solitons Fractals},
fjournal = {Chaos, Solitons \& Fractals},
volume = {7},
year = {1996},
number = {9},
pages = {1461--1477},
issn = {0960-0779},
mrclass = {26A33},
mrnumber = {1409912},
mrreviewer = {K. S. Miller},
doi = {10.1016/0960-0779(95)00125-5},
url = {https://doi.org/10.1016/0960-0779(95)00125-5}
}
@Article{ mainardi:96:fundamental,
author = {Mainardi, F.},
title = {The fundamental solutions for the fractional
diffusion-wave equation},
journal = {Appl. Math. Lett.},
fjournal = {Applied Mathematics Letters. An International Journal of
Rapid Publication},
volume = {9},
year = {1996},
number = {6},
pages = {23--28},
issn = {0893-9659},
mrclass = {35L05 (26A33 35A08)},
mrnumber = {1419811},
doi = {10.1016/0893-9659(96)00089-4},
url = {https://doi.org/10.1016/0893-9659(96)00089-4}
}
@Article{ mainini:12:well-posedness,
author = {Mainini, Edoardo},
title = {Well-posedness for a mean field model of
{G}inzburg-{L}andau vortices with opposite degrees},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {19},
year = {2012},
number = {2},
pages = {133--158},
issn = {1021-9722},
mrclass = {58E50 (35Q35 35Q56)},
mrnumber = {2902184},
mrreviewer = {Xingbin Pan},
doi = {10.1007/s00030-011-0121-6},
url = {https://doi.org/10.1007/s00030-011-0121-6}
}
@Book{ majda.abramov.ea:05:information,
author = {Majda, Andrew J. and Abramov, Rafail V. and Grote, Marcus
J.},
title = {Information theory and stochastics for multiscale
nonlinear systems},
series = {CRM Monograph Series},
volume = {25},
publisher = {American Mathematical Society, Providence, RI},
year = {2005},
pages = {viii+133},
isbn = {0-8218-3843-1},
mrclass = {76M35 (37D45 37H99 62B10 62M20 82C03 86A10)},
mrnumber = {2166171},
mrreviewer = {Massimiliano\ Gubinelli},
doi = {10.1090/crmm/025},
url = {https://doi.org/10.1090/crmm/025}
}
@Book{ majda.bertozzi:02:vorticity,
author = {Majda, Andrew J. and Bertozzi, Andrea L.},
title = {Vorticity and incompressible flow},
series = {Cambridge Texts in Applied Mathematics},
volume = {27},
publisher = {Cambridge University Press, Cambridge},
year = {2002},
pages = {xii+545},
isbn = {0-521-63057-6; 0-521-63948-4},
mrclass = {76-02 (35Q30 35Q35 76B03 76D03 76D05)},
mrnumber = {1867882},
mrreviewer = {Yuxi\ Zheng}
}
@Book{ majda.harlim:12:filtering,
author = {Majda, Andrew J. and Harlim, John},
title = {Filtering complex turbulent systems},
publisher = {Cambridge University Press, Cambridge},
year = {2012},
pages = {x+357},
isbn = {978-1-107-01666-8},
mrclass = {76-02 (35Q35 60G35 76F20 93E11)},
mrnumber = {2934167},
mrreviewer = {Lennaert\ van Veen},
doi = {10.1017/CBO9781139061308},
url = {https://doi.org/10.1017/CBO9781139061308}
}
@Book{ majda.wang:06:non-linear,
author = {Majda, Andrew J. and Wang, Xiaoming},
title = {Non-linear dynamics and statistical theories for basic
geophysical flows},
publisher = {Cambridge University Press, Cambridge},
year = {2006},
pages = {xii+551},
isbn = {978-0-521-83441-4; 0-521-83441-4},
mrclass = {76U05 (76E20 76F55 76M35 86-02)},
mrnumber = {2241372},
mrreviewer = {Christopher\ C.\ Hallstrom},
doi = {10.1017/CBO9780511616778},
url = {https://doi.org/10.1017/CBO9780511616778}
}
@Book{ majda:03:introduction,
author = {Majda, Andrew},
title = {Introduction to {PDE}s and waves for the atmosphere and
ocean},
series = {Courant Lecture Notes in Mathematics},
volume = {9},
publisher = {New York University, Courant Institute of Mathematical
Sciences, New York; American Mathematical Society,
Providence, RI},
year = {2003},
pages = {x+234},
isbn = {0-8218-2954-8},
mrclass = {76U05 (35Q35 76B03 76B15 76D33 86A05 86A10)},
mrnumber = {1965452},
mrreviewer = {Jiahong\ Wu},
doi = {10.1090/cln/009},
url = {https://doi.org/10.1090/cln/009}
}
@Book{ majda:16:introduction,
author = {Majda, Andrew J.},
title = {Introduction to turbulent dynamical systems in complex
systems},
series = {Frontiers in Applied Dynamical Systems: Reviews and
Tutorials},
volume = {5},
publisher = {Springer, [Cham]},
year = {2016},
pages = {xi+91},
isbn = {978-3-319-32215-5; 978-3-319-32217-9},
mrclass = {37-02 (37H10 62M20 76F20 76F55 86A05 86A10)},
mrnumber = {3560633},
mrreviewer = {Xiaoming\ Wang},
doi = {10.1007/978-3-319-32217-9},
url = {https://doi.org/10.1007/978-3-319-32217-9}
}
@Book{ majda:84:compressible,
author = {Majda, A.},
title = {Compressible fluid flow and systems of conservation laws
in several space variables},
series = {Applied Mathematical Sciences},
volume = {53},
publisher = {Springer-Verlag, New York},
year = {1984},
pages = {viii+159},
isbn = {0-387-96037-6},
mrclass = {35L65 (76L05 76N10)},
mrnumber = {748308},
mrreviewer = {Joel\ Smoller},
doi = {10.1007/978-1-4612-1116-7},
url = {https://doi.org/10.1007/978-1-4612-1116-7}
}
@InCollection{ majda:91:one,
author = {Majda, Andrew J.},
title = {One perspective on open problems in multi-dimensional
conservation laws},
booktitle = {Multidimensional hyperbolic problems and computations
({M}inneapolis, {MN}, 1989)},
series = {IMA Vol. Math. Appl.},
volume = {29},
pages = {217--238},
publisher = {Springer, New York},
year = {1991},
isbn = {0-387-97485-7},
mrclass = {35L65 (65M99 76L05 76N15)},
mrnumber = {1087085},
doi = {10.1007/978-1-4613-9121-0\_18},
url = {https://doi.org/10.1007/978-1-4613-9121-0_18}
}
@Article{ majda:93:random,
author = {Majda, Andrew J.},
title = {The random uniform shear layer: an explicit example of
turbulent diffusion with broad tail probability
distributions},
journal = {Phys. Fluids A},
fjournal = {Physics of Fluids A. Fluid Dynamics},
volume = {5},
year = {1993},
number = {8},
pages = {1963--1970},
issn = {0899-8213},
mrclass = {76F10 (33C90 76M35 82C99)},
mrnumber = {1228390},
doi = {10.1063/1.858823},
url = {https://doi.org/10.1063/1.858823}
}
@Article{ majumdar.mallick.ea:08:bethe,
author = {Majumdar, Satya N. and Mallick, Kirone and Nechaev,
Sergei},
title = {Bethe ansatz in the {B}ernoulli matching model of random
sequence alignment},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {77},
year = {2008},
number = {1},
pages = {011110, 10},
issn = {1539-3755},
mrclass = {82B20 (92D20)},
mrnumber = {2448153},
doi = {10.1103/PhysRevE.77.011110},
url = {https://doi.org/10.1103/PhysRevE.77.011110}
}
@Article{ makarov.smirnov:00:on,
author = {Makarov, N. and Smirnov, S.},
title = {On ``thermodynamics'' of rational maps. {I}. {N}egative
spectrum},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {211},
year = {2000},
number = {3},
pages = {705--743},
issn = {0010-3616,1432-0916},
mrclass = {37F35 (37C30 37D35)},
mrnumber = {1773815},
mrreviewer = {Feliks\ Przytycki},
doi = {10.1007/s002200050833},
url = {https://doi.org/10.1007/s002200050833}
}
@Article{ makarov.smirnov:03:on,
author = {Makarov, N. and Smirnov, S.},
title = {On thermodynamics of rational maps. {II}. {N}on-recurrent
maps},
journal = {J. London Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second
Series},
volume = {67},
year = {2003},
number = {2},
pages = {417--432},
issn = {0024-6107,1469-7750},
mrclass = {37F10 (30C85 37C30 37D35)},
mrnumber = {1956144},
mrreviewer = {Feliks\ Przytycki},
doi = {10.1112/S0024610702003964},
url = {https://doi.org/10.1112/S0024610702003964}
}
@InCollection{ makarov.smirnov:10:off-critical,
author = {Makarov, Nikolai and Smirnov, Stanislav},
title = {Off-critical lattice models and massive {SLE}s},
booktitle = {X{VI}th {I}nternational {C}ongress on {M}athematical
{P}hysics},
pages = {362--371},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2010},
isbn = {978-981-4304-62-7; 981-4304-62-X},
mrclass = {60J67 (30C35 60K35 82B27)},
mrnumber = {2730811},
mrreviewer = {B.\ L.\ Granovsky},
doi = {10.1142/9789814304634\_0024},
url = {https://doi.org/10.1142/9789814304634_0024}
}
@Article{ makarov.smirnov:96:phase,
author = {Makarov, N. and Smirnov, S.},
title = {Phase transition in subhyperbolic {J}ulia sets},
journal = {Ergodic Theory Dynam. Systems},
fjournal = {Ergodic Theory and Dynamical Systems},
volume = {16},
year = {1996},
number = {1},
pages = {125--157},
issn = {0143-3857,1469-4417},
mrclass = {58F23 (30D05)},
mrnumber = {1375130},
doi = {10.1017/S0143385700008749},
url = {https://doi.org/10.1017/S0143385700008749}
}
@Article{ maleknejad.nouri.ea:09:investigation,
author = {Maleknejad, K. and Nouri, K. and Mollapourasl, R.},
title = {Investigation on the existence of solutions for some
nonlinear functional-integral equations},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {71},
year = {2009},
number = {12},
pages = {e1575--e1578},
issn = {0362-546X},
mrclass = {45G10 (47H08 47H10 47N20)},
mrnumber = {2671939},
mrreviewer = {Florin Isaia},
doi = {10.1016/j.na.2009.01.207},
url = {https://doi.org/10.1016/j.na.2009.01.207}
}
@Article{ malevergne.sornette:04:collective,
author = {Malevergne, Y. and Sornette, D.},
title = {Collective origin of the coexistence of apparent random
matrix theory noise and of factors in large sample
correlation matrices},
journal = {Phys. A},
fjournal = {Physica A. Statistical Mechanics and its Applications},
volume = {331},
year = {2004},
number = {3-4},
pages = {660--668},
issn = {0378-4371},
mrclass = {82B41 (91B28)},
mrnumber = {2044926},
doi = {10.1016/j.physa.2003.09.004},
url = {https://doi.org/10.1016/j.physa.2003.09.004}
}
@Article{ malicet.nourdin.ea:16:squared,
author = {Malicet, Dominique and Nourdin, Ivan and Peccati, Giovanni
and Poly, Guillaume},
title = {Squared chaotic random variables: new moment inequalities
with applications},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {270},
year = {2016},
number = {2},
pages = {649--670},
issn = {0022-1236},
mrclass = {60G15 (15A45 60E15 60G60 60J35)},
mrnumber = {3425898},
mrreviewer = {Kirstin Strokorb},
doi = {10.1016/j.jfa.2015.10.013},
url = {https://doi.org/10.1016/j.jfa.2015.10.013}
}
@Article{ malliavin.nualart:09:density,
author = {Malliavin, Paul and Nualart, Eulalia},
title = {Density minoration of a strongly non-degenerated random
variable},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {256},
year = {2009},
number = {12},
pages = {4197--4214},
issn = {0022-1236},
mrclass = {60H07 (60B15)},
mrnumber = {2521925},
mrreviewer = {H\'{e}l\`ene Airault},
doi = {10.1016/j.jfa.2008.11.016},
url = {https://doi.org/10.1016/j.jfa.2008.11.016}
}
@Article{ malliavin.nualart:93:quasi-sure,
author = {Malliavin, Paul and Nualart, David},
title = {Quasi-sure analysis of stochastic flows and {B}anach space
valued smooth functionals on the {W}iener space},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {112},
year = {1993},
number = {2},
pages = {287--317},
issn = {0022-1236},
mrclass = {60H05 (46N30)},
mrnumber = {1213140},
mrreviewer = {Vladimir I. Bogachev},
doi = {10.1006/jfan.1993.1034},
url = {https://doi.org/10.1006/jfan.1993.1034}
}
@Article{ malliavin.nualart:93:quasi-sure*1,
author = {Malliavin, Paul and Nualart, David},
title = {Quasi-sure analysis and {S}tratonovich anticipative
stochastic differential equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {96},
year = {1993},
number = {1},
pages = {45--55},
issn = {0178-8051},
mrclass = {60H10 (60H07)},
mrnumber = {1222364},
mrreviewer = {Daniel Ocone},
doi = {10.1007/BF01195882},
url = {https://doi.org/10.1007/BF01195882}
}
@Book{ malliavin.thalmaier:06:stochastic,
author = {Malliavin, Paul and Thalmaier, Anton},
title = {Stochastic calculus of variations in mathematical
finance},
series = {Springer Finance},
publisher = {Springer-Verlag, Berlin},
year = {2006},
pages = {xii+142},
isbn = {978-3-540-43431-3; 3-540-43431-3},
mrclass = {91-02 (49J45 60H07 60H30 65C50 91B28)},
mrnumber = {2189710},
mrreviewer = {Fred Espen Benth}
}
@InProceedings{ malliavin:78:stochastic,
author = {Malliavin, Paul},
title = {Stochastic calculus of variation and hypoelliptic
operators},
booktitle = {Proceedings of the {I}nternational {S}ymposium on
{S}tochastic {D}ifferential {E}quations ({R}es. {I}nst.
{M}ath. {S}ci., {K}yoto {U}niv., {K}yoto, 1976)},
pages = {195--263},
publisher = {Wiley, New York-Chichester-Brisbane},
year = {1978},
mrclass = {60H05 (35H05 58G32 60J60)},
mrnumber = {536013},
mrreviewer = {Kiyosi It\^{o}}
}
@Book{ malliavin:95:integration,
author = {Malliavin, Paul},
title = {Integration and probability},
series = {Graduate Texts in Mathematics},
volume = {157},
note = {With the collaboration of H\'{e}l\`ene Airault, Leslie Kay
and G\'{e}rard Letac, Edited and translated from the French
by Kay, With a foreword by Mark Pinsky},
publisher = {Springer-Verlag, New York},
year = {1995},
pages = {xxii+322},
isbn = {0-387-94409-5},
mrclass = {28-01 (42-01 46-01 60-01)},
mrnumber = {1335234},
mrreviewer = {R. B. Burckel},
doi = {10.1007/978-1-4612-4202-4},
url = {https://doi.org/10.1007/978-1-4612-4202-4}
}
@Book{ malliavin:97:stochastic,
author = {Malliavin, Paul},
title = {Stochastic analysis},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {313},
publisher = {Springer-Verlag, Berlin},
year = {1997},
pages = {xii+343},
isbn = {3-540-57024-1},
mrclass = {60H07 (31C15 58G32 60H30)},
mrnumber = {1450093},
mrreviewer = {R\'{e}mi L\'{e}andre},
doi = {10.1007/978-3-642-15074-6},
url = {https://doi.org/10.1007/978-3-642-15074-6}
}
@Book{ malthe-s-renssen:24:percolation,
author = {Malthe-S\o renssen, Anders},
title = {Percolation theory using {P}ython},
series = {Lecture Notes in Physics},
volume = {1029},
publisher = {Springer, Cham},
year = {[2024] \copyright 2024},
pages = {x+214},
isbn = {978-3-031-59899-9; 978-3-031-59900-2},
mrclass = {76S05 (74F10 76-04)},
mrnumber = {4789620},
doi = {10.1007/978-3-031-59900-2},
url = {https://doi.org/10.1007/978-3-031-59900-2}
}
@Article{ manin.roldan.ea:23:topology,
author = {Manin, Fedor and Rold\'{a}n, \'{E}rika and Schweinhart,
Benjamin},
title = {Topology and local geometry of the {E}den model},
journal = {Discrete Comput. Geom.},
fjournal = {Discrete \& Computational Geometry. An International
Journal of Mathematics and Computer Science},
volume = {69},
year = {2023},
number = {3},
pages = {771--799},
issn = {0179-5376},
mrclass = {82B43 (05B50 55N31 60K35 62R40)},
mrnumber = {4555869},
mrreviewer = {Olivier Couronn\'{e}},
doi = {10.1007/s00454-022-00474-w},
url = {https://doi.org/10.1007/s00454-022-00474-w}
}
@Article{ mansmann:91:free,
author = {Mansmann, Ulrich},
title = {The free energy of the {D}irac polaron, an explicit
solution},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {34},
year = {1991},
number = {1-2},
pages = {93--125},
issn = {1045-1129},
mrclass = {82B10 (60F10 60J65 81V70 82D25)},
mrnumber = {1104424},
doi = {10.1080/17442509108833677},
url = {https://doi.org/10.1080/17442509108833677}
}
@Article{ manthey.zausinger:99:stochastic,
author = {Manthey, Ralf and Zausinger, Thomas},
title = {Stochastic evolution equations in {$L^{2\nu}_\rho$}},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {66},
year = {1999},
number = {1-2},
pages = {37--85},
issn = {1045-1129},
mrclass = {60H15},
mrnumber = {1687799},
doi = {10.1080/17442509908834186},
url = {https://doi.org/10.1080/17442509908834186}
}
@Article{ manthey:01:long-time,
author = {Manthey, Ralf},
title = {The long-time behaviour of the solutions to semilinear
stochastic partial differential equations on the whole
space},
journal = {Math. Bohem.},
fjournal = {Academy of Sciences of the Czech Republic. Mathematical
Institute. Mathematica Bohemica},
volume = {126},
year = {2001},
number = {1},
pages = {15--39},
issn = {0862-7959},
mrclass = {60H15 (35B40 35R60)},
mrnumber = {1825855},
mrreviewer = {Samy Tindel}
}
@Article{ mantzaris.webb.ea:04:mathematical,
author = {Mantzaris, Nikos V. and Webb, Steve and Othmer, Hans G.},
title = {Mathematical modeling of tumor-induced angiogenesis},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {49},
year = {2004},
number = {2},
pages = {111--187},
issn = {0303-6812},
mrclass = {92C30 (35K57 37N25 92C15 92C50)},
mrnumber = {2145689},
doi = {10.1007/s00285-003-0262-2},
url = {https://doi.org/10.1007/s00285-003-0262-2}
}
@Article{ manukyan.ceyhan:16:classification,
author = {Manukyan, Art\"ur and Ceyhan, Elvan},
title = {Classification of imbalanced data with a geometric digraph
family},
journal = {J. Mach. Learn. Res.},
fjournal = {Journal of Machine Learning Research (JMLR)},
volume = {17},
year = {2016},
pages = {Paper No. 189, 40},
issn = {1532-4435,1533-7928},
mrclass = {62H30 (05C20 05C75 05C90)},
mrnumber = {3567457}
}
@Article{ manukyan.ceyhan:20:classification,
author = {Manukyan, Art\"ur and Ceyhan, Elvan},
title = {Classification using proximity catch digraphs},
journal = {Mach. Learn.},
fjournal = {Machine Learning},
volume = {109},
year = {2020},
number = {4},
pages = {761--811},
issn = {0885-6125,1573-0565},
mrclass = {62H30 (05C62 05C80 60D05)},
mrnumber = {4094533},
doi = {10.1007/s10994-020-05878-4},
url = {https://doi.org/10.1007/s10994-020-05878-4}
}
@Article{ mao.marion.ea:02:environmental,
author = {Mao, Xuerong and Marion, Glenn and Renshaw, Eric},
title = {Environmental {B}rownian noise suppresses explosions in
population dynamics},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {97},
year = {2002},
number = {1},
pages = {95--110},
issn = {0304-4149},
mrclass = {60J65 (60H10 92D25)},
mrnumber = {1870962},
mrreviewer = {Kun Soo Chang},
doi = {10.1016/S0304-4149(01)00126-0},
url = {https://doi.org/10.1016/S0304-4149(01)00126-0}
}
@Book{ mao:94:exponential,
author = {Mao, Xuerong},
title = {Exponential stability of stochastic differential
equations},
series = {Monographs and Textbooks in Pure and Applied Mathematics},
volume = {182},
publisher = {Marcel Dekker, Inc., New York},
year = {1994},
pages = {xii+307},
isbn = {0-8247-9080-4},
mrclass = {60H20 (34D08 34F05 60G48 93E15)},
mrnumber = {1275834},
mrreviewer = {Wolfgang Kliemann}
}
@Article{ marcenko.pastur:67:distribution,
author = {Mar\v{c}enko, V. A. and Pastur, L. A.},
title = {Distribution of eigenvalues in certain sets of random
matrices},
journal = {Mat. Sb. (N.S.)},
fjournal = {Matematicheskiu{i} Sbornik. Novaya Seriya},
volume = {72(114)},
year = {1967},
pages = {507--536},
issn = {0368-8666},
mrclass = {60.30 (60.90)},
mrnumber = {208649},
mrreviewer = {J. G. Wendel}
}
@Article{ march.seppalainen:94:bounds,
author = {March, Peter and Sepp\"{a}l\"{a}inen, Timo},
title = {Bounds for least relative vacancy in a simple mosaic
process},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {54},
year = {1994},
number = {2},
pages = {548--558},
issn = {0036-1399},
mrclass = {60K10 (60G55)},
mrnumber = {1265241},
doi = {10.1137/S0036139992233604},
url = {https://doi.org/10.1137/S0036139992233604}
}
@Article{ march.seppalainen:97:large,
author = {March, Peter and Sepp\"{a}l\"{a}inen, Timo},
title = {Large deviations from the almost everywhere central limit
theorem},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {10},
year = {1997},
number = {4},
pages = {935--965},
issn = {0894-9840},
mrclass = {60F10 (60F15)},
mrnumber = {1481655},
doi = {10.1023/A:1022614700678},
url = {https://doi.org/10.1023/A:1022614700678}
}
@Article{ marchand:02:strict,
author = {Marchand, R.},
title = {Strict inequalities for the time constant in first passage
percolation},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {12},
year = {2002},
number = {3},
pages = {1001--1038},
issn = {1050-5164},
mrclass = {60K35 (82B43 82C43)},
mrnumber = {1925450},
mrreviewer = {Menachem Dishon},
doi = {10.1214/aoap/1031863179},
url = {https://doi.org/10.1214/aoap/1031863179}
}
@Book{ marchioro.pulvirenti:94:mathematical,
author = {Marchioro, Carlo and Pulvirenti, Mario},
title = {Mathematical theory of incompressible nonviscous fluids},
series = {Applied Mathematical Sciences},
volume = {96},
publisher = {Springer-Verlag, New York},
year = {1994},
pages = {xii+283},
isbn = {0-387-94044-8},
mrclass = {76-02 (35Q35 76Cxx 76E99 76F99 76M25)},
mrnumber = {1245492},
mrreviewer = {J. Thomas Beale},
doi = {10.1007/978-1-4612-4284-0},
url = {https://doi.org/10.1007/978-1-4612-4284-0}
}
@Book{ marcus.rosen:06:markov,
author = {Marcus, Michael B. and Rosen, Jay},
title = {Markov processes, {G}aussian processes, and local times},
series = {Cambridge Studies in Advanced Mathematics},
volume = {100},
publisher = {Cambridge University Press, Cambridge},
year = {2006},
pages = {x+620},
isbn = {978-0-521-86300-1; 0-521-86300-7},
mrclass = {60-02 (60G15 60J25 60J55)},
mrnumber = {2250510},
mrreviewer = {Nathalie Eisenbaum},
doi = {10.1017/CBO9780511617997},
url = {https://doi.org/10.1017/CBO9780511617997}
}
@Article{ marcus.rosen:92:p-variation,
author = {Marcus, Michael B. and Rosen, Jay},
title = {{$p$}-variation of the local times of symmetric stable
processes and of {G}aussian processes with stationary
increments},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {20},
year = {1992},
number = {4},
pages = {1685--1713},
issn = {0091-1798,2168-894X},
mrclass = {60J55 (60G15 60G17)},
mrnumber = {1188038},
mrreviewer = {Ditlev\ Monrad},
url = {http://links.jstor.org/sici?sici=0091-1798(199210)20:4<1685:OTLTOS>2.0.CO;2-2&origin=MSN}
}
@Article{ marcus.rosen:92:sample,
author = {Marcus, Michael B. and Rosen, Jay},
title = {Sample path properties of the local times of strongly
symmetric {M}arkov processes via {G}aussian processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {20},
year = {1992},
number = {4},
pages = {1603--1684},
issn = {0091-1798,2168-894X},
mrclass = {60G15 (60J25 60J55)},
mrnumber = {1188037},
mrreviewer = {Robert\ J.\ Adler},
url = {http://links.jstor.org/sici?sici=0091-1798(199210)20:4<1603:SPPOTL>2.0.CO;2-Q&origin=MSN}
}
@Article{ marcus.rosen:94:laws,
author = {Marcus, Michael B. and Rosen, Jay},
title = {Laws of the iterated logarithm for the local times of
symmetric {L}evy processes and recurrent random walks},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {2},
pages = {626--658},
issn = {0091-1798},
mrclass = {60J55 (60F15)},
mrnumber = {1288125},
mrreviewer = {Endre Cs\'{a}ki},
url = {http://links.jstor.org/sici?sici=0091-1798(199404)22:2<626:LOTILF>2.0.CO;2-B&origin=MSN}
}
@Article{ marcus.rosinski:05:continuity,
author = {Marcus, Michael B. and Rosi\'{n}ski, Jan},
title = {Continuity and boundedness of infinitely divisible
processes: a {P}oisson point process approach},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {18},
year = {2005},
number = {1},
pages = {109--160},
issn = {0894-9840},
mrclass = {60E07 (60G55 60G57)},
mrnumber = {2132274},
mrreviewer = {Igor Pr\"{u}nster},
doi = {10.1007/s10959-004-2579-1},
url = {https://doi.org/10.1007/s10959-004-2579-1}
}
@Article{ mariani.tweneboah.ea:19:complex,
author = {Mariani, Maria C. and Tweneboah, Osei K. and Valles,
Miguel A. and Bezdek, Pavel},
title = {Complex {G}leason measures and the {N}emytsky operator},
journal = {Ann. Math. Sil.},
fjournal = {Annales Mathematicae Silesianae},
volume = {33},
year = {2019},
number = {1},
pages = {168--209},
issn = {0860-2107},
mrclass = {47B15 (28B05)},
mrnumber = {3982593},
doi = {10.2478/amsil-2018-0012},
url = {https://doi.org/10.2478/amsil-2018-0012}
}
@Article{ mariani.zambotti:14:renewal,
author = {Mariani, Mauro and Zambotti, Lorenzo},
title = {A renewal version of the {S}anov theorem},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {19},
year = {2014},
pages = {no. 69, 13},
issn = {1083-589X},
mrclass = {60K05 (60F10 60G20)},
mrnumber = {3269169},
mrreviewer = {E.\ Omey},
doi = {10.1214/ECP.v19-3325},
url = {https://doi.org/10.1214/ECP.v19-3325}
}
@Article{ mariani.zambotti:16:large,
author = {Mariani, Mauro and Zambotti, Lorenzo},
title = {Large deviations for the empirical measure of heavy-tailed
{M}arkov renewal processes},
journal = {Adv. in Appl. Probab.},
fjournal = {Advances in Applied Probability},
volume = {48},
year = {2016},
number = {3},
pages = {648--671},
issn = {0001-8678,1475-6064},
mrclass = {60F10 (60K15)},
mrnumber = {3568885},
doi = {10.1017/apr.2016.21},
url = {https://doi.org/10.1017/apr.2016.21}
}
@Book{ marichev:83:handbook,
author = {Marichev, O. I.},
title = {Handbook of integral transforms of higher transcendental
functions},
series = {Ellis Horwood Series: Mathematics and its Applications},
note = {Theory and algorithmic tables, Edited by F. D. Gakhov,
Translated from the Russian by L. W. Longdon},
publisher = {Ellis Horwood Ltd., Chichester; John Wiley \& Sons, Inc.,
New York},
year = {1983},
pages = {336},
isbn = {0-85312-538-7},
mrclass = {00A22 (33-02 44-02 65A05)},
mrnumber = {689711}
}
@Article{ marinelli.nualart.ea:13:existence,
author = {Marinelli, Carlo and Nualart, Eulalia and Quer-Sardanyons,
Llu\'{i}s},
title = {Existence and regularity of the density for solutions to
semilinear dissipative parabolic {SPDE}s},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {39},
year = {2013},
number = {3},
pages = {287--311},
issn = {0926-2601},
mrclass = {60H07 (60H15)},
mrnumber = {3102988},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1007/s11118-012-9330-9},
url = {https://doi.org/10.1007/s11118-012-9330-9}
}
@Article{ marinelli.quer-sardanyons:12:existence,
author = {Marinelli, Carlo and Quer-Sardanyons, Llu\'{i}s},
title = {Existence of weak solutions for a class of semilinear
stochastic wave equations},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {44},
year = {2012},
number = {2},
pages = {906--925},
issn = {0036-1410},
mrclass = {60H15 (35D30 35L71 35R60)},
mrnumber = {2914254},
mrreviewer = {Guanggan Chen},
doi = {10.1137/110826667},
url = {https://doi.org/10.1137/110826667}
}
@Article{ marinelli.rockner:10:on,
author = {Marinelli, Carlo and R\"{o}ckner, Michael},
title = {On uniqueness of mild solutions for dissipative stochastic
evolution equations},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {13},
year = {2010},
number = {3},
pages = {363--376},
issn = {0219-0257},
mrclass = {60H15 (60G57)},
mrnumber = {2729590},
mrreviewer = {Xinghua Zheng},
doi = {10.1142/S0219025710004152},
url = {https://doi.org/10.1142/S0219025710004152}
}
@InCollection{ marino:11:string,
author = {Mari\~{n}o, Marcos},
title = {String theory},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {641--660},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {81T30 (15A30)},
mrnumber = {2932651},
mrreviewer = {Brad Safnuk}
}
@Book{ markushevich:77:theory,
author = {Markushevich, A. I.},
title = {Theory of functions of a complex variable. {V}ol. {I},
{II}, {III}},
edition = {English},
note = {Translated and edited by Richard A. Silverman},
publisher = {Chelsea Publishing Co., New York},
year = {1977},
pages = {xxii+1238 pp. (three volumes in one; not consecutively
paged) ISBN 0-8284-0296-5},
mrclass = {30-01},
mrnumber = {0444912}
}
@Article{ marquez-carreras.rovira.ea:06:asymptotic,
author = {M\'{a}rquez-Carreras, David and Rovira, Carles and Tindel,
Samy},
title = {Asymptotic behavior of the magnetization for the
perceptron model},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {42},
year = {2006},
number = {3},
pages = {327--342},
issn = {0246-0203},
mrclass = {60K40 (60G15 60K35 68T05 82C32)},
mrnumber = {2219713},
mrreviewer = {N. Leonenko},
doi = {10.1016/j.anihpb.2005.04.005},
url = {https://doi.org/10.1016/j.anihpb.2005.04.005}
}
@Article{ marquez-carreras.rovira.ea:07:diluted,
author = {M\'{a}rquez-Carreras, David and Rovira, Carles and Tindel,
Samy},
title = {A diluted version of the perceptron model},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {117},
year = {2007},
number = {12},
pages = {1764--1792},
issn = {0304-4149},
mrclass = {60K35 (60G15 82B44 82C32)},
mrnumber = {2437728},
mrreviewer = {Giambattista Giacomin},
doi = {10.1016/j.spa.2007.02.008},
url = {https://doi.org/10.1016/j.spa.2007.02.008}
}
@Article{ marquez-carreras.rovira.ea:11:model,
author = {M\'{a}rquez-Carreras, David and Rovira, Carles and Tindel,
Samy},
title = {A model of continuous time polymer on the lattice},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {5},
year = {2011},
number = {1},
pages = {103--120},
mrclass = {60K37 (60G15 60K35 82B41)},
mrnumber = {2808538},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.31390/cosa.5.1.07},
url = {https://doi.org/10.31390/cosa.5.1.07}
}
@Article{ marquez-carreras.sanz-sole:97:small,
author = {M\'{a}rquez-Carreras, David and Sanz-Sol\'{e}, Marta},
title = {Small perturbations in a hyperbolic stochastic partial
differential equation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {68},
year = {1997},
number = {1},
pages = {133--154},
issn = {0304-4149},
mrclass = {60H15 (60H07)},
mrnumber = {1454583},
mrreviewer = {Toshio Mikami},
doi = {10.1016/S0304-4149(96)00023-3},
url = {https://doi.org/10.1016/S0304-4149(96)00023-3}
}
@InCollection{ marquez-carreras.sanz-sole:98:taylor,
author = {M\'{a}rquez-Carreras, David and Sanz-Sol\'{e}, Marta},
title = {Taylor expansion of the density in a stochastic heat
equation},
note = {Dedicated to the memory of Fernando Serrano},
journal = {Collect. Math.},
fjournal = {Universitat de Barcelona. Collectanea Mathematica},
volume = {49},
year = {1998},
number = {2-3},
pages = {399--415},
issn = {0010-0757},
mrclass = {60H07 (35K05 35R60 60H15)},
mrnumber = {1677116},
mrreviewer = {Nicolas Privault}
}
@Article{ marquez-carreras.sanz-sole:99:expansion,
author = {M\'{a}rquez-Carreras, David and Sanz-Sol\'{e}, Marta},
title = {Expansion of the density: a {W}iener-chaos approach},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {5},
year = {1999},
number = {2},
pages = {257--274},
issn = {1350-7265},
mrclass = {60H07 (46N30 60H15)},
mrnumber = {1681698},
mrreviewer = {Catherine Donati-Martin},
doi = {10.2307/3318435},
url = {https://doi.org/10.2307/3318435}
}
@Article{ marquez-carreras.tindel:03:on,
author = {M\'{a}rquez-Carreras, David and Tindel, Samy},
title = {On exponential moments for functionals defined on the loop
group},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {21},
year = {2003},
number = {6},
pages = {1333--1352},
issn = {0736-2994},
mrclass = {58J65 (22E67 43A77 60E05 60H07)},
mrnumber = {2014560},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1081/SAP-120026109},
url = {https://doi.org/10.1081/SAP-120026109}
}
@Article{ marrocco:03:numerical,
author = {Marrocco, Americo},
title = {Numerical simulation of chemotactic bacteria aggregation
via mixed finite elements},
journal = {M2AN Math. Model. Numer. Anal.},
fjournal = {M2AN. Mathematical Modelling and Numerical Analysis},
volume = {37},
year = {2003},
number = {4},
pages = {617--630},
issn = {0764-583X},
mrclass = {92B05 (65M60 92C40)},
mrnumber = {2018433},
doi = {10.1051/m2an:2003048},
url = {https://doi.org/10.1051/m2an:2003048}
}
@Article{ martel:98:complete,
author = {Martel, Yvan},
title = {Complete blow up and global behaviour of solutions of
{$u_t-\Delta u=g(u)$}},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {15},
year = {1998},
number = {6},
pages = {687--723},
issn = {0294-1449},
mrclass = {35J65 (35B40)},
mrnumber = {1650970},
mrreviewer = {Qing Fang},
doi = {10.1016/S0294-1449(99)80002-X},
url = {https://doi.org/10.1016/S0294-1449(99)80002-X}
}
@Article{ martin.ouyang.ea:18:purposely,
author = {Martin, Ryan and Ouyang, Cheng and Domagni, Francois},
title = {`{P}urposely misspecified' posterior inference on the
volatility of a jump diffusion process},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {134},
year = {2018},
pages = {106--113},
issn = {0167-7152},
mrclass = {62F15 (60J60 60J75)},
mrnumber = {3758588},
doi = {10.1016/j.spl.2017.10.013},
url = {https://doi.org/10.1016/j.spl.2017.10.013}
}
@Article{ martin:04:small,
author = {Martin, A.},
title = {Small ball asymptotics for the stochastic wave equation},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {17},
year = {2004},
number = {3},
pages = {693--703},
issn = {0894-9840},
mrclass = {60H15 (35L70 35R60)},
mrnumber = {2091556},
mrreviewer = {B. G. Pachpatte},
doi = {10.1023/B:JOTP.0000040294.12188.cd},
url = {https://doi.org/10.1023/B:JOTP.0000040294.12188.cd}
}
@Article{ martinez.sanz-sole:06:lattice,
author = {Mart\'{i}nez, Teresa and Sanz-Sol\'{e}, Marta},
title = {A lattice scheme for stochastic partial differential
equations of elliptic type in dimension {$d\geq 4$}},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {54},
year = {2006},
number = {3},
pages = {343--368},
issn = {0095-4616},
mrclass = {60H35 (35J60 35R60 60H15 65C30)},
mrnumber = {2268662},
mrreviewer = {Catherine Donati-Martin},
doi = {10.1007/s00245-006-0874-1},
url = {https://doi.org/10.1007/s00245-006-0874-1}
}
@Article{ marton:96:bounding,
author = {Marton, K.},
title = {Bounding {$\overline d$}-distance by informational
divergence: a method to prove measure concentration},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {2},
pages = {857--866},
issn = {0091-1798},
mrclass = {60F10 (60G70)},
mrnumber = {1404531},
doi = {10.1214/aop/1039639365},
url = {https://doi.org/10.1214/aop/1039639365}
}
@Article{ marton:96:measure,
author = {Marton, K.},
title = {A measure concentration inequality for contracting
{M}arkov chains},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {6},
year = {1996},
number = {3},
pages = {556--571},
issn = {1016-443X},
mrclass = {60J05},
mrnumber = {1392329},
mrreviewer = {M. Iosifescu},
doi = {10.1007/BF02249263},
url = {https://doi.org/10.1007/BF02249263}
}
@Article{ marton:98:measure,
author = {Marton, Katalin},
title = {Measure concentration for a class of random processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {110},
year = {1998},
number = {3},
pages = {427--439},
issn = {0178-8051},
mrclass = {60G10 (28A99)},
mrnumber = {1616492},
doi = {10.1007/s004400050154},
url = {https://doi.org/10.1007/s004400050154}
}
@Article{ maruyama:49:harmonic,
author = {Maruyama, Gisir\B{o}},
title = {The harmonic analysis of stationary stochastic processes},
journal = {Mem. Fac. Sci. Ky\={u}sy\={u} Univ. A},
fjournal = {Memoirs of the Faculty of Science. Kyushu University.
Series A. Mathematics},
volume = {4},
year = {1949},
pages = {45--106},
issn = {0373-6385},
mrclass = {60.0X},
mrnumber = {32127},
mrreviewer = {J. L. Doob}
}
@Article{ maruyama:70:infinitely,
author = {Maruyama, G.},
title = {Infinitely divisible processes},
journal = {Teor. Verojatnost. i Primenen.},
fjournal = {Akademija Nauk SSSR. Teorija Verojatnosteu{i} i ee
Primenenija},
volume = {15},
year = {1970},
pages = {3--23},
issn = {0040-361x},
mrclass = {60.40},
mrnumber = {285046},
mrreviewer = {J. G. Wendel}
}
@Article{ masiero.priola:17:well-posedness,
author = {Masiero, Federica and Priola, Enrico},
title = {Well-posedness of semilinear stochastic wave equations
with {H}\"{o}lder continuous coefficients},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {263},
year = {2017},
number = {3},
pages = {1773--1812},
issn = {0022-0396},
mrclass = {35R60 (35B30 35L20 60H15)},
mrnumber = {3634696},
mrreviewer = {Jan I. Seidler},
doi = {10.1016/j.jde.2017.03.031},
url = {https://doi.org/10.1016/j.jde.2017.03.031}
}
@Article{ maslowski.nualart:03:evolution,
author = {Maslowski, Bohdan and Nualart, David},
title = {Evolution equations driven by a fractional {B}rownian
motion},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {202},
year = {2003},
number = {1},
pages = {277--305},
issn = {0022-1236},
mrclass = {60H10 (34F05 35R60 37L55 60H15)},
mrnumber = {1994773},
mrreviewer = {M. Z\"{a}hle},
doi = {10.1016/S0022-1236(02)00065-4},
url = {https://doi.org/10.1016/S0022-1236(02)00065-4}
}
@Article{ maslowski.seidler.ea:91:averaging,
author = {Maslowski, Bohdan and Seidler, Jan and Vrko\v{c}, Ivo},
title = {An averaging principle for stochastic evolution equations.
{II}},
journal = {Math. Bohem.},
fjournal = {Czechoslovak Academy of Sciences. Mathematical Institute.
Mathematica Bohemica},
volume = {116},
year = {1991},
number = {2},
pages = {191--224},
issn = {0862-7959},
mrclass = {60H15 (34F05 34G10 35R60 47D06 47N20)},
mrnumber = {1112004},
mrreviewer = {Wlodzimierz\ Smolenski}
}
@Article{ maslowski.seidler.ea:93:integral,
author = {Maslowski, Bohdan and Seidler, Jan and Vrko\v{c}, Ivo},
title = {Integral continuity and stability for stochastic
hyperbolic equations},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory and Applications},
volume = {6},
year = {1993},
number = {2},
pages = {355--382},
issn = {0893-4983},
mrclass = {60H15 (35B35 35R60)},
mrnumber = {1195388},
mrreviewer = {Jerzy\ Zabczyk}
}
@Article{ maslowski.seidler:00:probabilistic,
author = {Maslowski, Bohdan and Seidler, Jan},
title = {Probabilistic approach to the strong {F}eller property},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {118},
year = {2000},
number = {2},
pages = {187--210},
issn = {0178-8051,1432-2064},
mrclass = {60J35 (60H10 60H15)},
mrnumber = {1790081},
mrreviewer = {Tu\ Sheng\ Zhang},
doi = {10.1007/s440-000-8014-0},
url = {https://doi.org/10.1007/s440-000-8014-0}
}
@Article{ maslowski.seidler:01:strong,
author = {Maslowski, Bohdan and Seidler, Jan},
title = {Strong {F}eller solutions to {SPDE}'s are strong {F}eller
in the weak topology},
journal = {Studia Math.},
fjournal = {Studia Mathematica},
volume = {148},
year = {2001},
number = {2},
pages = {111--129},
issn = {0039-3223,1730-6337},
mrclass = {60H15 (60J35)},
mrnumber = {1881256},
mrreviewer = {Isabel\ Sim\~{a}o},
doi = {10.4064/sm148-2-2},
url = {https://doi.org/10.4064/sm148-2-2}
}
@InCollection{ maslowski.seidler:02:strong,
author = {Maslowski, Bohdan and Seidler, Jan},
title = {Strong {F}eller infinite-dimensional diffusions},
booktitle = {Stochastic partial differential equations and applications
({T}rento, 2002)},
series = {Lecture Notes in Pure and Appl. Math.},
volume = {227},
pages = {373--387},
publisher = {Dekker, New York},
year = {2002},
isbn = {0-8247-0792-3},
mrclass = {60J60 (47D07 60J25)},
mrnumber = {1919518}
}
@Article{ maslowski.seidler:94:ergodic,
author = {Maslowski, Bohdan and Seidler, Jan},
title = {Ergodic properties of recurrent solutions of stochastic
evolution equations},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {31},
year = {1994},
number = {4},
pages = {965--1003},
issn = {0030-6126},
mrclass = {60H10 (34F05 34G20 47D07)},
mrnumber = {1315015},
mrreviewer = {Yasushi\ Ishikawa},
url = {http://projecteuclid.org/euclid.ojm/1200785644}
}
@InCollection{ maslowski.seidler:98:invariant,
author = {Maslowski, Bohdan and Seidler, Jan},
title = {Invariant measures for nonlinear {SPDE}'s: uniqueness and
stability},
note = {Equadiff 9 (Brno, 1997)},
journal = {Arch. Math. (Brno)},
fjournal = {Universitatis Masarykianae Brunensis. Facultas Scientiarum
Naturalium. Archivum Mathematicum},
volume = {34},
year = {1998},
number = {1},
pages = {153--172},
issn = {0044-8753,1212-5059},
mrclass = {60H15 (35R60 47D07)},
mrnumber = {1629692},
mrreviewer = {Ralf\ Manthey}
}
@Article{ maslowski.seidler:99:on,
author = {Maslowski, Bohdan and Seidler, Jan},
title = {On sequentially weakly {F}eller solutions to {SPDE}'s},
journal = {Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend.
Lincei (9) Mat. Appl.},
fjournal = {Atti della Accademia Nazionale dei Lincei. Classe di
Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei.
Serie IX. Matematica e Applicazioni},
volume = {10},
year = {1999},
number = {2},
pages = {69--78},
issn = {1120-6330},
mrclass = {60H15 (60J25 60J35)},
mrnumber = {1768191},
mrreviewer = {David M\'{a}rquez-Carreras}
}
@Article{ maslowski.tudor:13:drift,
author = {Maslowski, Bohdan and Tudor, Ciprian A.},
title = {Drift parameter estimation for infinite-dimensional
fractional {O}rnstein-{U}hlenbeck process},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'ematiques},
volume = {137},
year = {2013},
number = {7},
pages = {880--901},
issn = {0007-4497,1952-4773},
mrclass = {60H15 (60G22 60H07 62F10 62M05)},
mrnumber = {3116218},
mrreviewer = {Nicolas\ Fournier},
doi = {10.1016/j.bulsci.2013.04.008},
url = {https://doi.org/10.1016/j.bulsci.2013.04.008}
}
@Article{ masmoudi.zhang:05:global,
author = {Masmoudi, Nader and Zhang, Ping},
title = {Global solutions to vortex density equations arising from
sup-conductivity},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {22},
year = {2005},
number = {4},
pages = {441--458},
issn = {0294-1449},
mrclass = {35Q35 (35B65)},
mrnumber = {2145721},
mrreviewer = {Peter E. Kloeden},
doi = {10.1016/j.anihpc.2004.07.002},
url = {https://doi.org/10.1016/j.anihpc.2004.07.002}
}
@Article{ mason.xiao:01:sample,
author = {Mason, J. D. and Xiao, Yimin},
title = {Sample path properties of operator-self-similar {G}aussian
random fields},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Teoriya Veroyatnosteu{i} i
ee Primeneniya},
volume = {46},
year = {2001},
number = {1},
pages = {94--116},
issn = {0040-361X},
mrclass = {60G17 (60G18 60G60)},
mrnumber = {1968707},
mrreviewer = {Makoto\ Maejima},
doi = {10.1137/S0040585X97978749},
url = {https://doi.org/10.1137/S0040585X97978749}
}
@Book{ massart:07:concentration,
author = {Massart, Pascal},
title = {Concentration inequalities and model selection},
series = {Lecture Notes in Mathematics},
volume = {1896},
note = {Lectures from the 33rd Summer School on Probability Theory
held in Saint-Flour, July 6--23, 2003, With a foreword by
Jean Picard},
publisher = {Springer, Berlin},
year = {2007},
pages = {xiv+337},
isbn = {978-3-540-48497-4; 3-540-48497-3},
mrclass = {62-02 (60E15 62B10 62G05 62G07 62G30 94A17)},
mrnumber = {2319879}
}
@Article{ masuda:84:analytic,
author = {Masuda, Ky\={u}ya},
title = {Analytic solutions of some nonlinear diffusion equations},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {187},
year = {1984},
number = {1},
pages = {61--73},
issn = {0025-5874},
mrclass = {35K55 (34G20)},
mrnumber = {753420},
mrreviewer = {Jan Pr\"{u}ss},
doi = {10.1007/BF01163166},
url = {https://doi.org/10.1007/BF01163166}
}
@Book{ matern:60:spatial,
author = {Mat\'{e}rn, Bertil},
title = {Spatial variation: {S}tochastic models and their
application to some problems in forest surveys and other
sampling investigations},
note = {Meddelanden Fran Statens Skogsforskningsinstitut, Band 49,
Nr. 5},
publisher = {Statens Skogsforskningsinstitut, Stockholm},
year = {1960},
pages = {144},
mrclass = {62.90 (62.97)},
mrnumber = {0169346},
mrreviewer = {P. Whittle}
}
@Article{ matetski.quastel.ea:21:kpz,
author = {Matetski, Konstantin and Quastel, Jeremy and Remenik,
Daniel},
title = {The {KPZ} fixed point},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {227},
year = {2021},
number = {1},
pages = {115--203},
issn = {0001-5962},
mrclass = {60K35},
mrnumber = {4346267},
doi = {10.4310/acta.2021.v227.n1.a3},
url = {https://doi.org/10.4310/acta.2021.v227.n1.a3}
}
@Book{ mathai.saxena.ea:10:h-function,
author = {Mathai, A. M. and Saxena, Ram Kishore and Haubold, Hans
J.},
title = {The {$H$}-function},
note = {Theory and applications},
publisher = {Springer, New York},
year = {2010},
pages = {xiv+268},
isbn = {978-1-4419-0915-2},
mrclass = {33-02 (33C60 33C90)},
mrnumber = {2562766},
mrreviewer = {Djurdje Cvijovi\'{c}},
doi = {10.1007/978-1-4419-0916-9},
url = {https://doi.org/10.1007/978-1-4419-0916-9}
}
@Book{ mathai.saxena:78:h-function,
author = {Mathai, A. M. and Saxena, R. K.},
title = {The {$H$}-function with applications in statistics and
other disciplines},
publisher = {Halsted Press [John Wiley \& Sons], New
York-London-Sydney},
year = {1978},
pages = {xii+192},
isbn = {0-470-26380-6},
mrclass = {33A35 (62E10 62H05)},
mrnumber = {513025},
mrreviewer = {R. G. Buschman}
}
@Article{ mathieu:06:carne-varopoulos,
author = {Mathieu, Pierre},
title = {Carne-{V}aropoulos bounds for centered random walks},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {3},
pages = {987--1011},
issn = {0091-1798},
mrclass = {60J10 (60G50)},
mrnumber = {2243876},
mrreviewer = {Sophia Kalpazidou},
doi = {10.1214/009117906000000052},
url = {https://doi.org/10.1214/009117906000000052}
}
@Article{ matoussi.sabbagh.ea:17:backward,
author = {Matoussi, Anis and Sabbagh, Wissal and Zhang, Tusheng},
title = {Backward doubly {SDE}s and semilinear stochastic {PDE}s in
a convex domain},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {9},
pages = {2781--2815},
issn = {0304-4149},
mrclass = {60H15 (35R60 60H10)},
mrnumber = {3682114},
doi = {10.1016/j.spa.2016.12.010},
url = {https://doi.org/10.1016/j.spa.2016.12.010}
}
@Article{ matoussi.sabbagh.ea:21:large,
author = {Matoussi, Anis and Sabbagh, Wissal and Zhang, Tusheng},
title = {Large deviation principles of obstacle problems for
quasilinear stochastic {PDE}s},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {83},
year = {2021},
number = {2},
pages = {849--879},
issn = {0095-4616},
mrclass = {60H15 (60F10 60H10)},
mrnumber = {4239802},
doi = {10.1007/s00245-019-09570-5},
url = {https://doi.org/10.1007/s00245-019-09570-5}
}
@Article{ matsumoto.yor:05:exponential,
author = {Matsumoto, Hiroyuki and Yor, Marc},
title = {Exponential functionals of {B}rownian motion. {II}. {S}ome
related diffusion processes},
journal = {Probab. Surv.},
fjournal = {Probability Surveys},
volume = {2},
year = {2005},
pages = {348--384},
mrclass = {60J65 (60H30 60J60 91B28)},
mrnumber = {2203676},
mrreviewer = {Catherine Donati-Martin},
doi = {10.1214/154957805100000168},
url = {https://doi.org/10.1214/154957805100000168}
}
@Article{ matsushita.wakita.ea:98:interface,
title = {Interface growth and pattern formation in bacterial
colonies},
journal = {Physica A: Statistical Mechanics and its Applications},
volume = {249},
number = {1},
pages = {517--524},
year = {1998},
issn = {0378-4371},
doi = {https://doi.org/10.1016/S0378-4371(97)00511-6},
url = {https://www.sciencedirect.com/science/article/pii/S0378437197005116},
author = {M. Matsushita and J. Wakita and H. Itoh and I. R\`{a}fols
and T. Matsuyama and H. Sakaguchi and M. Mimura},
keywords = {Pattern formation, Bacterial colony, Interface growth,
Self-affinity}
}
@Book{ mattila:95:geometry,
author = {Mattila, Pertti},
title = {Geometry of sets and measures in {E}uclidean spaces},
series = {Cambridge Studies in Advanced Mathematics},
volume = {44},
note = {Fractals and rectifiability},
publisher = {Cambridge University Press, Cambridge},
year = {1995},
pages = {xii+343},
isbn = {0-521-46576-1; 0-521-65595-1},
mrclass = {28A75 (49Q20)},
mrnumber = {1333890},
mrreviewer = {Harold Parks},
doi = {10.1017/CBO9780511623813},
url = {https://doi.org/10.1017/CBO9780511623813}
}
@Article{ mattingly.mckinley.ea:12:geometric,
author = {Mattingly, Jonathan C. and McKinley, Scott A. and Pillai,
Natesh S.},
title = {Geometric ergodicity of a bead-spring pair with stochastic
{S}tokes forcing},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {12},
pages = {3953--3979},
issn = {0304-4149,1879-209X},
mrclass = {60H30 (35R60 60H10 60H15 60J25 76A05)},
mrnumber = {2971721},
doi = {10.1016/j.spa.2012.07.003},
url = {https://doi.org/10.1016/j.spa.2012.07.003}
}
@Article{ mattingly.pardoux:06:malliavin,
author = {Mattingly, Jonathan C. and Pardoux, \'{E}tienne},
title = {Malliavin calculus for the stochastic 2{D}
{N}avier-{S}tokes equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {59},
year = {2006},
number = {12},
pages = {1742--1790},
issn = {0010-3640},
mrclass = {60H07 (35Q30 35R60 60H15 76D05 76D06 76M35)},
mrnumber = {2257860},
mrreviewer = {Mark A. McKibben},
doi = {10.1002/cpa.20136},
url = {https://doi.org/10.1002/cpa.20136}
}
@Article{ mattingly.pardoux:14:invariant,
author = {Mattingly, Jonathan C. and Pardoux, Etienne},
title = {Invariant measure selection by noise. {A}n example},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {34},
year = {2014},
number = {10},
pages = {4223--4257},
issn = {1078-0947,1553-5231},
mrclass = {60H10 (34C29 37A60 37L40)},
mrnumber = {3195367},
mrreviewer = {Iulian\ Stoleriu},
doi = {10.3934/dcds.2014.34.4223},
url = {https://doi.org/10.3934/dcds.2014.34.4223}
}
@Article{ mattingly.pillai.ea:12:diffusion,
author = {Mattingly, Jonathan C. and Pillai, Natesh S. and Stuart,
Andrew M.},
title = {Diffusion limits of the random walk {M}etropolis algorithm
in high dimensions},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {22},
year = {2012},
number = {3},
pages = {881--930},
issn = {1050-5164,2168-8737},
mrclass = {60J22 (60H15 60J20 65C05)},
mrnumber = {2977981},
mrreviewer = {Gon\c calo\ Dos Reis},
doi = {10.1214/10-AAP754},
url = {https://doi.org/10.1214/10-AAP754}
}
@Article{ mattingly.sinai:99:elementary,
author = {Mattingly, J. C. and Sinai, Ya.\ G.},
title = {An elementary proof of the existence and uniqueness
theorem for the {N}avier-{S}tokes equations},
journal = {Commun. Contemp. Math.},
fjournal = {Communications in Contemporary Mathematics},
volume = {1},
year = {1999},
number = {4},
pages = {497--516},
issn = {0219-1997,1793-6683},
mrclass = {35Q30 (76D03 76D05)},
mrnumber = {1719695},
mrreviewer = {Ivan\ Stra\v skraba},
doi = {10.1142/S0219199799000183},
url = {https://doi.org/10.1142/S0219199799000183}
}
@Article{ mattingly.stuart.ea:02:ergodicity,
author = {Mattingly, J. C. and Stuart, A. M. and Higham, D. J.},
title = {Ergodicity for {SDE}s and approximations: locally
{L}ipschitz vector fields and degenerate noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {101},
year = {2002},
number = {2},
pages = {185--232},
issn = {0304-4149,1879-209X},
mrclass = {60H10 (34F05 37H10 60J35)},
mrnumber = {1931266},
mrreviewer = {Jan\ I.\ Seidler},
doi = {10.1016/S0304-4149(02)00150-3},
url = {https://doi.org/10.1016/S0304-4149(02)00150-3}
}
@Article{ mattingly.stuart.ea:10:convergence,
author = {Mattingly, Jonathan C. and Stuart, Andrew M. and
Tretyakov, M. V.},
title = {Convergence of numerical time-averaging and stationary
measures via {P}oisson equations},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {48},
year = {2010},
number = {2},
pages = {552--577},
issn = {0036-1429,1095-7170},
mrclass = {65C30 (37H10 60H10 60H35)},
mrnumber = {2669996},
mrreviewer = {Peter\ E.\ Kloeden},
doi = {10.1137/090770527},
url = {https://doi.org/10.1137/090770527}
}
@InCollection{ mattingly.stuart:02:geometric,
author = {Mattingly, J. C. and Stuart, A. M.},
title = {Geometric ergodicity of some hypo-elliptic diffusions for
particle motions},
note = {Inhomogeneous random systems (Cergy-Pontoise, 2001)},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {8},
year = {2002},
number = {2},
pages = {199--214},
issn = {1024-2953},
mrclass = {60H10 (37A25 82C31)},
mrnumber = {1924935},
mrreviewer = {Da-Quan\ Jiang}
}
@Article{ mattingly.suidan.ea:07:anomalous,
author = {Mattingly, Jonathan C. and Suidan, Toufic M. and
Vanden-Eijnden, Eric},
title = {Anomalous dissipation in a stochastically forced
infinite-dimensional system of coupled oscillators},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {128},
year = {2007},
number = {5},
pages = {1145--1152},
issn = {0022-4715,1572-9613},
mrclass = {37L55 (60H10 82C05)},
mrnumber = {2348788},
mrreviewer = {Rodica\ Luca},
doi = {10.1007/s10955-007-9351-8},
url = {https://doi.org/10.1007/s10955-007-9351-8}
}
@Article{ mattingly.suidan.ea:07:simple,
author = {Mattingly, Jonathan C. and Suidan, Toufic and
Vanden-Eijnden, Eric},
title = {Simple systems with anomalous dissipation and energy
cascade},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {276},
year = {2007},
number = {1},
pages = {189--220},
issn = {0010-3616,1432-0916},
mrclass = {37L99 (37C99 37N10 76D05 76F02)},
mrnumber = {2342292},
mrreviewer = {Jos\'e\ A.\ Langa},
doi = {10.1007/s00220-007-0333-0},
url = {https://doi.org/10.1007/s00220-007-0333-0}
}
@Article{ mattingly.suidan:05:small,
author = {Mattingly, Jonathan C. and Suidan, Toufic M.},
title = {The small scales of the stochastic {N}avier-{S}tokes
equations under rough forcing},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {118},
year = {2005},
number = {1-2},
pages = {343--364},
issn = {0022-4715,1572-9613},
mrclass = {76M35 (35Q30 35R60 60H15 76D05)},
mrnumber = {2122959},
mrreviewer = {Hakima\ Bessaih},
doi = {10.1007/s10955-004-8787-3},
url = {https://doi.org/10.1007/s10955-004-8787-3}
}
@InCollection{ mattingly.suidan:08:transition,
author = {Mattingly, Jonathan C. and Suidan, Toufic M.},
title = {Transition measures for the stochastic {B}urgers
equation},
booktitle = {Integrable systems and random matrices},
series = {Contemp. Math.},
volume = {458},
pages = {409--418},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2008},
isbn = {978-0-8218-4240-9},
mrclass = {60H15 (35Q53 35R60 60J60 76M35)},
mrnumber = {2411921},
mrreviewer = {Azzouz\ Dermoune},
doi = {10.1090/conm/458/08950},
url = {https://doi.org/10.1090/conm/458/08950}
}
@Article{ mattingly:02:contractivity,
author = {Mattingly, J. C.},
title = {Contractivity and ergodicity of the random map
{$x\mapsto|x-\theta|$}},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Rossiu iskaya Akademiya Nauk. Teoriya Veroyatnosteu i\ i
ee Primeneniya},
volume = {47},
year = {2002},
number = {2},
pages = {388--397},
issn = {0040-361X},
mrclass = {60J05 (37A25 37H99 60G99)},
mrnumber = {2003207},
mrreviewer = {Gerold\ Alsmeyer},
doi = {10.1137/S0040585X97979767},
url = {https://doi.org/10.1137/S0040585X97979767}
}
@InCollection{ mattingly:02:dissipative,
author = {Mattingly, Jonathan C.},
title = {The dissipative scale of the stochastics {N}avier-{S}tokes
equation: regularization and analyticity},
note = {Dedicated to David Ruelle and Yasha Sinai on the occasion
of their 65th birthdays},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {108},
year = {2002},
number = {5-6},
pages = {1157--1179},
issn = {0022-4715,1572-9613},
mrclass = {76D03 (35Q30 35R60 37L55 60H15 76D06 76M35)},
mrnumber = {1933449},
mrreviewer = {Benedetta\ Ferrario},
doi = {10.1023/A:1019799700126},
url = {https://doi.org/10.1023/A:1019799700126}
}
@Article{ mattingly:02:exponential,
author = {Mattingly, Jonathan C.},
title = {Exponential convergence for the stochastically forced
{N}avier-{S}tokes equations and other partially dissipative
dynamics},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {230},
year = {2002},
number = {3},
pages = {421--462},
issn = {0010-3616,1432-0916},
mrclass = {76D05 (35Q30 37H99 37L99 60H10 60H15 76M35)},
mrnumber = {1937652},
doi = {10.1007/s00220-002-0688-1},
url = {https://doi.org/10.1007/s00220-002-0688-1}
}
@InCollection{ mattingly:03:on,
author = {Mattingly, Jonathan C.},
title = {On recent progress for the stochastic {N}avier {S}tokes
equations},
booktitle = {Journ\'ees ``\'Equations aux {D}\'eriv\'ees {P}artielles''},
pages = {Exp. No. XI, 52},
publisher = {Univ. Nantes, Nantes},
year = {2003},
isbn = {2-86939-207-9},
mrclass = {60H15 (35Q30 35R60 76D05 76D06 76M35)},
mrnumber = {2050597},
mrreviewer = {Sergey\ V.\ Lototsky}
}
@Book{ mattingly:98:stochastic,
author = {Mattingly, Jonathan Christopher},
title = {The stochastic {N}avier-{S}tokes equation: {E}nergy
estimates and phase space contraction},
note = {Thesis (Ph.D.)--Princeton University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1998},
pages = {140},
isbn = {978-0599-19603-2},
mrclass = {99-05},
mrnumber = {2698764},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9920450}
}
@Article{ mattingly:99:ergodicity,
author = {Mattingly, Jonathan C.},
title = {Ergodicity of {$2$}D {N}avier-{S}tokes equations with
random forcing and large viscosity},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {206},
year = {1999},
number = {2},
pages = {273--288},
issn = {0010-3616,1432-0916},
mrclass = {76D05 (35Q30 35R60 37H99 37L30 37L40 60H30)},
mrnumber = {1722141},
mrreviewer = {Ana\ Bela\ Cruzeiro},
doi = {10.1007/s002200050706},
url = {https://doi.org/10.1007/s002200050706}
}
@Article{ maunuksela.myllys.ea:97:kinetic,
title = {Kinetic Roughening in Slow Combustion of Paper},
author = {Maunuksela, J. and Myllys, M. and K\"ahk\"onen, O.-P. and
Timonen, J. and Provatas, N. and Alava, M. J. and
Ala-Nissila, T.},
journal = {Phys. Rev. Lett.},
volume = {79},
issue = {8},
pages = {1515--1518},
numpages = {0},
year = {1997},
month = {Aug},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.79.1515},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.79.1515}
}
@InCollection{ maximon:10:3j-6j-9j,
author = {Maximon, L. C.},
title = {{$3j,6j,9j$} symbols},
booktitle = {N{IST} handbook of mathematical functions},
pages = {757--766},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C80},
mrnumber = {2655374}
}
@Article{ mayboroda.mitrea:04:sharp,
author = {Mayboroda, Svitlana and Mitrea, Marius},
title = {Sharp estimates for {G}reen potentials on non-smooth
domains},
journal = {Math. Res. Lett.},
fjournal = {Mathematical Research Letters},
volume = {11},
year = {2004},
number = {4},
pages = {481--492},
issn = {1073-2780},
mrclass = {35J25 (31B10 35J05 46E35)},
mrnumber = {2092902},
mrreviewer = {D. G. Natroshvili},
doi = {10.4310/MRL.2004.v11.n4.a7},
url = {https://doi.org/10.4310/MRL.2004.v11.n4.a7}
}
@InCollection{ mayer-wolf.nualart.ea:92:large,
author = {Mayer-Wolf, Eduardo and Nualart, David and
P\'{e}rez-Abreu, V\'{i}ctor},
title = {Large deviations for multiple {W}iener-{I}t\^{o} integral
processes},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXVI}},
series = {Lecture Notes in Math.},
volume = {1526},
pages = {11--31},
publisher = {Springer, Berlin},
year = {1992},
mrclass = {60F10 (60G17 60H05)},
mrnumber = {1231980},
mrreviewer = {Toshio Mori},
doi = {10.1007/BFb0084307},
url = {https://doi.org/10.1007/BFb0084307}
}
@Article{ mayer-wolf.roitershtein.ea:04:limit,
author = {Mayer-Wolf, Eddy and Roitershtein, Alexander and Zeitouni,
Ofer},
title = {Limit theorems for one-dimensional transient random walks
in {M}arkov environments},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {40},
year = {2004},
number = {5},
pages = {635--659},
issn = {0246-0203},
mrclass = {60K37 (60F05 60J05 60J80)},
mrnumber = {2086017},
mrreviewer = {Nikita\ Y.\ Ratanov},
doi = {10.1016/j.anihpb.2004.01.003},
url = {https://doi.org/10.1016/j.anihpb.2004.01.003}
}
@InCollection{ mayer-wolf.zakai.ea:88:on,
author = {Mayer-Wolf, E. and Zakai, M. and Zeitouni, O.},
title = {On the memory length of the optimal nonlinear filter},
booktitle = {Stochastic differential systems, stochastic control theory
and applications ({M}inneapolis, {M}inn., 1986)},
series = {IMA Vol. Math. Appl.},
volume = {10},
pages = {311--322},
publisher = {Springer, New York},
year = {1988},
isbn = {0-387-96641-2},
mrclass = {93E11 (60G35)},
mrnumber = {934731},
doi = {10.1007/978-1-4613-8762-6\_20},
url = {https://doi.org/10.1007/978-1-4613-8762-6_20}
}
@Article{ mayer-wolf.zeitouni.ea:02:asymptotics,
author = {Mayer-Wolf, Eddy and Zeitouni, Ofer and Zerner, Martin P.
W.},
title = {Asymptotics of certain coagulation-fragmentation processes
and invariant {P}oisson-{D}irichlet measures},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {7},
year = {2002},
pages = {no. 8, 25},
issn = {1083-6489},
mrclass = {60K35 (60G55 60G57 60J05)},
mrnumber = {1902841},
mrreviewer = {Anton\ Wakolbinger},
doi = {10.1214/EJP.v7-107},
url = {https://doi.org/10.1214/EJP.v7-107}
}
@Article{ mayer-wolf.zeitouni:93:onsager,
author = {Mayer-Wolf, Eddy and Zeitouni, Ofer},
title = {Onsager {M}achlup functionals for non-trace-class
{SPDE}s},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {95},
year = {1993},
number = {2},
pages = {199--216},
issn = {0178-8051,1432-2064},
mrclass = {60H15 (60H07)},
mrnumber = {1214087},
mrreviewer = {David\ Nualart},
doi = {10.1007/BF01192270},
url = {https://doi.org/10.1007/BF01192270}
}
@Article{ mayer-wolf.zeitouni:93:probability,
author = {Mayer-Wolf, Eddy and Zeitouni, Ofer},
title = {The probability of small {G}aussian ellipsoids and
associated conditional moments},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {21},
year = {1993},
number = {1},
pages = {14--24},
issn = {0091-1798,2168-894X},
mrclass = {60F10},
mrnumber = {1207213},
mrreviewer = {L.\ A.\ Shepp},
url = {http://links.jstor.org/sici?sici=0091-1798(199301)21:1<14:TPOSGE>2.0.CO;2-N&origin=MSN}
}
@Article{ mayorcas.singh:23:singular,
title = {Singular SPDEs on Homogeneous Lie Groups},
author = {Avi Mayorcas and Harprit Singh},
year = {2023},
month = {January},
journal = {Preprint arXiv:2301.05121},
url = {http://arXiv.org/abs/2301.05121}
}
@Article{ mayorcas.tomasevic:23:blow-up,
author = {Mayorcas, Avi and Toma\v{s}evi\'{c}, Milica},
title = {Blow-up for a stochastic model of chemotaxis driven by
conservative noise on {$\Bbb {R}^2$}},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {23},
year = {2023},
number = {3},
pages = {Paper No. 57, 28},
issn = {1424-3199},
mrclass = {35B44 (35Q92 35R60 60H15 92C17)},
mrnumber = {4629495},
doi = {10.1007/s00028-023-00900-3},
url = {https://doi.org/10.1007/s00028-023-00900-3}
}
@Article{ maz-ja:67:solvability,
author = {Maz{\cprime}ja, V. G.},
title = {Solvability in {$\dot W_{2}{}^{2}$} of the {D}irichlet
problem in a region with a smooth irregular boundary},
journal = {Vestnik Leningrad. Univ.},
fjournal = {Vestnik Leningrad University. Mathematics},
volume = {22},
year = {1967},
number = {7},
pages = {87--95},
issn = {0146-924x},
mrclass = {35.20},
mrnumber = {0212357},
mrreviewer = {P. C. Fife}
}
@Article{ maz-ja:73:coercivity,
author = {Maz{\cprime}ja, V. G.},
title = {The coercivity of the {D}irichlet problem in a domain with
irregular boundary},
journal = {Izv. Vys\v{s}. U\v{c}ebn. Zaved. Matematika},
fjournal = {Izvestija Vys\v{s}ih U\v{c}ebnyh Zavedeniu{i} Matematika},
year = {1973},
number = {4(131)},
pages = {64--76},
issn = {0021-3446},
mrclass = {35J25},
mrnumber = {0326152},
mrreviewer = {P. Szeptycki}
}
@Book{ maz-ya.shaposhnikova:85:theory,
author = {Maz{\cprime}ya, V. G. and Shaposhnikova, T. O.},
title = {Theory of multipliers in spaces of differentiable
functions},
series = {Monographs and Studies in Mathematics},
volume = {23},
publisher = {Pitman (Advanced Publishing Program), Boston, MA},
year = {1985},
pages = {xiii+344},
isbn = {0-273-08638-3},
mrclass = {46E35 (35S05 42B15)},
mrnumber = {785568},
mrreviewer = {S. K. Vodop{\cprime}yanov}
}
@Article{ mazliak.nourdin:08:optimal,
author = {Mazliak, Laurent and Nourdin, Ivan},
title = {Optimal control for rough differential equations},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {8},
year = {2008},
number = {1},
pages = {23--33},
issn = {0219-4937},
mrclass = {49J22 (34H05 49J45)},
mrnumber = {2399923},
mrreviewer = {Min Sun},
doi = {10.1142/S021949370800224X},
url = {https://doi.org/10.1142/S021949370800224X}
}
@Article{ mazya.mitrea.ea:10:dirichlet,
author = {Maz'ya, V. and Mitrea, M. and Shaposhnikova, T.},
title = {The {D}irichlet problem in {L}ipschitz domains for higher
order elliptic systems with rough coefficients},
journal = {J. Anal. Math.},
fjournal = {Journal d'Analyse Math\'{e}matique},
volume = {110},
year = {2010},
pages = {167--239},
issn = {0021-7670},
mrclass = {35J58 (46E35)},
mrnumber = {2753293},
mrreviewer = {Mikhail P. Vishnevskii},
doi = {10.1007/s11854-010-0005-4},
url = {https://doi.org/10.1007/s11854-010-0005-4}
}
@Article{ mazya:09:boundedness,
author = {Maz'ya, Vladimir},
title = {Boundedness of the gradient of a solution to the
{N}eumann-{L}aplace problem in a convex domain},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {347},
year = {2009},
number = {9-10},
pages = {517--520},
issn = {1631-073X},
mrclass = {35J05 (35B45)},
mrnumber = {2576900},
doi = {10.1016/j.crma.2009.03.001},
url = {https://doi.org/10.1016/j.crma.2009.03.001}
}
@InCollection{ mazziotto.stettner.ea:85:on,
author = {Mazziotto, G. and Stettner, \L . and Szpirglas, J. and
Zabczyk, J.},
title = {On impulse control with partial observation},
booktitle = {Stochastic differential systems ({M}arseille-{L}uminy,
1984)},
series = {Lect. Notes Control Inf. Sci.},
volume = {69},
pages = {296--308},
publisher = {Springer, Berlin},
year = {1985},
isbn = {3-540-15176-1},
mrclass = {93E03},
mrnumber = {798333},
doi = {10.1007/BFb0005085},
url = {https://doi.org/10.1007/BFb0005085}
}
@Article{ mazziotto.stettner.ea:88:on,
author = {Mazziotto, G. and Stettner, \L . and Szpirglas, J. and
Zabczyk, J.},
title = {On impulse control with partial observation},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {26},
year = {1988},
number = {4},
pages = {964--984},
issn = {0363-0129},
mrclass = {49A60 (60G40 60J25 93C57 93E11 93E20)},
mrnumber = {948653},
mrreviewer = {Patrizio Colaneri},
doi = {10.1137/0326052},
url = {https://doi.org/10.1137/0326052}
}
@Article{ mccoy.tracy.ea:77:connection,
author = {McCoy, Barry M. and Tracy, Craig A. and Wu, Tai Tsun},
title = {Connection between the {K}d{V} equation and the
two-dimensional {I}sing model},
journal = {Phys. Lett. A},
fjournal = {Physics Letters. A},
volume = {61},
year = {1977},
number = {5},
pages = {283--284},
issn = {0375-9601},
mrclass = {34A20 (58F05)},
mrnumber = {592243},
doi = {10.1016/0375-9601(77)90613-2},
url = {https://doi.org/10.1016/0375-9601(77)90613-2}
}
@Article{ mccoy.tracy.ea:77:painleve,
author = {McCoy, Barry M. and Tracy, Craig A. and Wu, Tai Tsun},
title = {Painlev\'{e} functions of the third kind},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {18},
year = {1977},
number = {5},
pages = {1058--1092},
issn = {0022-2488},
mrclass = {34B30 (81.34)},
mrnumber = {473322},
doi = {10.1063/1.523367},
url = {https://doi.org/10.1063/1.523367}
}
@Book{ mcdonald.weiss:99:course,
author = {McDonald, John N. and Weiss, Neil A.},
title = {A course in real analysis},
note = {Biographies by Carol A. Weiss},
publisher = {Academic Press, Inc., San Diego, CA},
year = {1999},
pages = {xx+745},
isbn = {0-12-742830-5},
mrclass = {00A05 (26-01 28-01 46-01 54-01)},
mrnumber = {1680810},
mrreviewer = {Sherif T. El-Helaly}
}
@Article{ mcgough.riley:05:priori,
author = {McGough, Jeff S. and Riley, Kyle L.},
title = {A priori bounds for reaction-diffusion systems arising in
chemical and biological dynamics},
journal = {Appl. Math. Comput.},
fjournal = {Applied Mathematics and Computation},
volume = {163},
year = {2005},
number = {1},
pages = {1--16},
issn = {0096-3003},
mrclass = {92E20 (35B45 35K50 35K57 92D25)},
mrnumber = {2115570},
doi = {10.1016/j.amc.2003.10.016},
url = {https://doi.org/10.1016/j.amc.2003.10.016}
}
@Article{ mcguire:64:study,
author = {McGuire, J. B.},
title = {Study of exactly soluble one-dimensional {$N$}-body
problems},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {5},
year = {1964},
pages = {622--636},
issn = {0022-2488},
mrclass = {81.34},
mrnumber = {161667},
mrreviewer = {M. Eisner},
doi = {10.1063/1.1704156},
url = {https://doi.org/10.1063/1.1704156}
}
@Article{ mckane:80:reformulation,
author = {McKane, A. J.},
title = {Reformulation of {$n\rightarrow 0$} models using
anticommuting scalar fields},
journal = {Phys. Lett. A},
fjournal = {Physics Letters. A},
volume = {76},
year = {1980},
number = {1},
pages = {22--24},
issn = {0375-9601},
mrclass = {82A42 (81E99)},
mrnumber = {594576},
doi = {10.1016/0375-9601(80)90136-X},
url = {https://doi.org/10.1016/0375-9601(80)90136-X}
}
@Book{ mckean.moll:97:elliptic,
author = {McKean, Henry and Moll, Victor},
title = {Elliptic curves},
note = {Function theory, geometry, arithmetic},
publisher = {Cambridge University Press, Cambridge},
year = {1997},
pages = {xiv+280},
isbn = {0-521-58228-8; 0-521-65817-9},
mrclass = {14H52 (11G05 14G25)},
mrnumber = {1471703},
mrreviewer = {Am\'{i}lcar Pacheco},
doi = {10.1017/CBO9781139174879},
url = {https://doi.org/10.1017/CBO9781139174879}
}
@InCollection{ mckean.vaninsky:94:statistical,
author = {McKean, H. P. and Vaninsky, K. L.},
title = {Statistical mechanics of nonlinear wave equations},
booktitle = {Trends and perspectives in applied mathematics},
series = {Appl. Math. Sci.},
volume = {100},
pages = {239--264},
publisher = {Springer, New York},
year = {1994},
mrclass = {35Q99 (35L70 82C03)},
mrnumber = {1277197},
mrreviewer = {Piotr Biler},
doi = {10.1007/978-1-4612-0859-4\_8},
url = {https://doi.org/10.1007/978-1-4612-0859-4_8}
}
@Article{ mckean:63:brownian,
author = {McKean, Jr., H. P.},
title = {Brownian motion with a several-dimensional time},
journal = {Teor. Verojatnost. i Primenen.},
fjournal = {Akademija Nauk SSSR. Teorija Verojatnosteu{i} i ee
Primenenija},
volume = {8},
year = {1963},
pages = {357--378},
issn = {0040-361x},
mrclass = {60.62},
mrnumber = {0157407},
mrreviewer = {R. M. Blumenthal}
}
@Article{ mckean:63:winding,
author = {McKean, Jr., H. P.},
title = {A winding problem for a resonator driven by a white
noise},
journal = {J. Math. Kyoto Univ.},
fjournal = {Journal of Mathematics of Kyoto University},
volume = {2},
year = {1963},
pages = {227--235},
issn = {0023-608X},
mrclass = {60.62},
mrnumber = {156389},
mrreviewer = {P. E. Ney},
doi = {10.1215/kjm/1250524936},
url = {https://doi.org/10.1215/kjm/1250524936}
}
@Article{ mckean:67:exponential,
author = {McKean, Jr., H. P.},
title = {An exponential formula for solving {B}oltmann's equation
for a {M}axwellian gas},
journal = {J. Combinatorial Theory},
fjournal = {Journal of Combinatorial Theory},
volume = {2},
year = {1967},
pages = {358--382},
issn = {0021-9800},
mrclass = {82.60 (60.00)},
mrnumber = {224348},
mrreviewer = {E. Bareiss}
}
@Article{ mckean:70:nagumos,
author = {McKean, Jr., H. P.},
title = {Nagumo's equation},
journal = {Advances in Math.},
fjournal = {Advances in Mathematics},
volume = {4},
year = {1970},
pages = {209--223 (1970)},
issn = {0001-8708},
mrclass = {92.10},
mrnumber = {260438},
mrreviewer = {Y. M. Chen},
doi = {10.1016/0001-8708(70)90023-X},
url = {https://doi.org/10.1016/0001-8708(70)90023-X}
}
@Article{ mckean:75:application,
author = {McKean, H. P.},
title = {Application of {B}rownian motion to the equation of
{K}olmogorov-{P}etrovskii-{P}iskunov},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {28},
year = {1975},
number = {3},
pages = {323--331},
issn = {0010-3640},
mrclass = {60J65 (92A15)},
mrnumber = {400428},
mrreviewer = {Richard S. Ellis},
doi = {10.1002/cpa.3160280302},
url = {https://doi.org/10.1002/cpa.3160280302}
}
@Article{ mckean:76:correction,
author = {McKean, H. P.},
title = {A correction to: ``{A}pplication of {B}rownian motion to
the equation of {K}olmogorov-{P}etrovskiu{i}-{P}iskonov''
({C}omm. {P}ure {A}ppl. {M}ath. {\bf 28} (1975), no. 3,
323--331)},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {29},
year = {1976},
number = {5},
pages = {553--554},
issn = {0010-3640},
mrclass = {60J65},
mrnumber = {423558},
mrreviewer = {Richard S. Ellis},
doi = {10.1002/cpa.3160290507},
url = {https://doi.org/10.1002/cpa.3160290507}
}
@Article{ mckean:94:limit,
author = {McKean, H. P.},
title = {A limit law for the ground state of {H}ill's equation},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {74},
year = {1994},
number = {5-6},
pages = {1227--1232},
issn = {0022-4715},
mrclass = {82B44 (34F05 60J60)},
mrnumber = {1268791},
mrreviewer = {Nariyuki Minami},
doi = {10.1007/BF02188225},
url = {https://doi.org/10.1007/BF02188225}
}
@Article{ mckean:95:statistical,
author = {McKean, H. P.},
title = {Statistical mechanics of nonlinear wave equations. {IV}.
{C}ubic {S}chr\"{o}dinger},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {168},
year = {1995},
number = {3},
pages = {479--491},
issn = {0010-3616},
mrclass = {35Q99 (35L70 81Q05 82C03)},
mrnumber = {1328250},
mrreviewer = {Piotr Biler},
url = {http://projecteuclid.org/euclid.cmp/1104272486}
}
@Article{ mckean:95:statistical*1,
author = {McKean, H. P.},
title = {Statistical mechanics of nonlinear wave equations. {III}.
{M}etric transitivity for hyperbolic sine-{G}ordon},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {79},
year = {1995},
number = {3-4},
pages = {731--737},
issn = {0022-4715},
mrclass = {35Q99 (35L70 81Q05 82C03)},
mrnumber = {1327904},
mrreviewer = {Piotr Biler},
doi = {10.1007/BF02184878},
url = {https://doi.org/10.1007/BF02184878}
}
@Book{ mclean:00:strongly,
author = {McLean, William},
title = {Strongly elliptic systems and boundary integral
equations},
publisher = {Cambridge University Press, Cambridge},
year = {2000},
pages = {xiv+357},
isbn = {0-521-66332-6; 0-521-66375-X},
mrclass = {35J45 (47F05 47G10 47N20 65N38)},
mrnumber = {1742312},
mrreviewer = {Dorina I. Mitrea}
}
@Article{ meakin.jullien:89:spatially,
author = {P. Meakin and R. Jullien},
title = {Spatially Correlated Ballistic Deposition},
journal = {Europhysics Letters},
fjournal = {Europhysics Letters},
doi = {10.1209/0295-5075/9/1/013},
url = {https://dx.doi.org/10.1209/0295-5075/9/1/013},
year = {1989},
month = {may},
volume = {9},
number = {1},
pages = {71}
}
@Article{ meakin.jullien:90:spatially,
title = {Spatially correlated ballistic deposition on one- and
two-dimensional surfaces},
author = {Meakin, Paul and Jullien, Remi},
journal = {Phys. Rev. A},
volume = {41},
issue = {2},
pages = {983--993},
numpages = {0},
year = {1990},
month = {Jan},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.41.983},
url = {https://link.aps.org/doi/10.1103/PhysRevA.41.983}
}
@Article{ meakin.ramanlal.ea:86:ballistic,
title = {Ballistic deposition on surfaces},
author = {Meakin, Paul and Ramanlal, P. and Sander, L. M. and Ball,
R. C.},
journal = {Phys. Rev. A},
volume = {34},
issue = {6},
pages = {5091--5103},
numpages = {0},
year = {1986},
month = {Dec},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.34.5091},
url = {https://link.aps.org/doi/10.1103/PhysRevA.34.5091}
}
@Book{ meakin:98:fractals,
author = {Meakin, Paul},
title = {Fractals, scaling and growth far from equilibrium},
series = {Cambridge Nonlinear Science Series},
volume = {5},
publisher = {Cambridge University Press, Cambridge},
year = {1998},
pages = {xiv+674},
isbn = {0-521-45253-8},
mrclass = {82-01 (28A80)},
mrnumber = {1489739}
}
@Article{ medina.hwa.ea:89:burgers,
author = {Medina, Ernesto and Hwa, Terence and Kardar, Mehran and
Zhang, Yi Cheng},
title = {Burgers' equation with correlated noise:
renormalization-group analysis and applications to directed
polymers and interface growth},
journal = {Phys. Rev. A (3)},
fjournal = {Physical Review. A. Third Series},
volume = {39},
year = {1989},
number = {6},
pages = {3053--3075},
issn = {1050-2947},
mrclass = {82A31 (76R50 82A25 82A51 82A70)},
mrnumber = {988871},
doi = {10.1103/PhysRevA.39.3053},
url = {https://doi.org/10.1103/PhysRevA.39.3053}
}
@Article{ meerschaert.benson.ea:02:stochastic,
author = {Meerschaert, Mark M. and Benson, David A. and Scheffler,
Hans-Peter and Baeumer, Boris},
title = {Stochastic solution of space-time fractional diffusion
equations},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {65},
year = {2002},
number = {4},
pages = {041103, 4},
issn = {1539-3755},
mrclass = {60J65 (35K57 35R60)},
mrnumber = {1917983},
doi = {10.1103/PhysRevE.65.041103},
url = {https://doi.org/10.1103/PhysRevE.65.041103}
}
@Article{ meerschaert.nane.ea:08:large,
author = {Meerschaert, Mark M. and Nane, Erkan and Xiao, Yimin},
title = {Large deviations for local time fractional {B}rownian
motion and applications},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {346},
year = {2008},
number = {2},
pages = {432--445},
issn = {0022-247X},
mrclass = {60F10 (60G18 60G52 60J65)},
mrnumber = {2431539},
mrreviewer = {Anna Amirdjanova},
doi = {10.1016/j.jmaa.2008.05.087},
url = {https://doi.org/10.1016/j.jmaa.2008.05.087}
}
@Article{ meerschaert.nane.ea:09:correlated,
author = {Meerschaert, Mark M. and Nane, Erkan and Xiao, Yimin},
title = {Correlated continuous time random walks},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {79},
year = {2009},
number = {9},
pages = {1194--1202},
issn = {0167-7152},
mrclass = {60G50},
mrnumber = {2519002},
doi = {10.1016/j.spl.2009.01.007},
url = {https://doi.org/10.1016/j.spl.2009.01.007}
}
@Article{ meerschaert.nane.ea:09:fractional,
author = {Meerschaert, Mark M. and Nane, Erkan and Vellaisamy, P.},
title = {Fractional {C}auchy problems on bounded domains},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {3},
pages = {979--1007},
issn = {0091-1798},
mrclass = {60G22 (35R11 60G17)},
mrnumber = {2537547},
doi = {10.1214/08-AOP426},
url = {https://doi.org/10.1214/08-AOP426}
}
@Article{ meerschaert.nane.ea:11:distributed-order,
author = {Meerschaert, Mark M. and Nane, Erkan and Vellaisamy, P.},
title = {Distributed-order fractional diffusions on bounded
domains},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {379},
year = {2011},
number = {1},
pages = {216--228},
issn = {0022-247X},
mrclass = {35R11 (26A33 35C05 35D35)},
mrnumber = {2776466},
mrreviewer = {Zhi-Cheng Wang},
doi = {10.1016/j.jmaa.2010.12.056},
url = {https://doi.org/10.1016/j.jmaa.2010.12.056}
}
@Article{ meerschaert.nane.ea:11:fractional,
author = {Meerschaert, Mark M. and Nane, Erkan and Vellaisamy, P.},
title = {The fractional {P}oisson process and the inverse stable
subordinator},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
pages = {no. 59, 1600--1620},
mrclass = {60K05 (26A33 33E12)},
mrnumber = {2835248},
mrreviewer = {Anatoly N. Bondarenko},
doi = {10.1214/EJP.v16-920},
url = {https://doi.org/10.1214/EJP.v16-920}
}
@Article{ meerschaert.nane.ea:13:fractal,
author = {Meerschaert, Mark M. and Nane, Erkan and Xiao, Yimin},
title = {Fractal dimension results for continuous time random
walks},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {83},
year = {2013},
number = {4},
pages = {1083--1093},
issn = {0167-7152},
mrclass = {60G17 (28A78 60G50 60J60 60K15 82B41)},
mrnumber = {3041379},
mrreviewer = {Peter Kern},
doi = {10.1016/j.spl.2013.01.001},
url = {https://doi.org/10.1016/j.spl.2013.01.001}
}
@Article{ meerschaert.nane.ea:13:transient,
author = {Meerschaert, Mark M. and Nane, Erkan and Vellaisamy, P.},
title = {Transient anomalous sub-diffusion on bounded domains},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {141},
year = {2013},
number = {2},
pages = {699--710},
issn = {0002-9939},
mrclass = {35R11 (35C10 35D35 60G22 60G52 60H10)},
mrnumber = {2996975},
mrreviewer = {M. Pilar Velasco},
doi = {10.1090/S0002-9939-2012-11362-0},
url = {https://doi.org/10.1090/S0002-9939-2012-11362-0}
}
@InCollection{ meerschaert.nane.ea:19:inverse,
author = {Meerschaert, Mark M. and Nane, Erkan and Vellaisamy, P.},
title = {Inverse subordinators and time fractional equations},
booktitle = {Handbook of fractional calculus with applications. {V}ol.
1},
pages = {407--426},
publisher = {De Gruyter, Berlin},
year = {2019},
mrclass = {60K05 (26A33 33E12 35R11)},
mrnumber = {3888411}
}
@Book{ meerschaert.scheffler:01:limit,
author = {Meerschaert, Mark M. and Scheffler, Hans-Peter},
title = {Limit distributions for sums of independent random
vectors},
series = {Wiley Series in Probability and Statistics: Probability
and Statistics},
note = {Heavy tails in theory and practice},
publisher = {John Wiley \& Sons, Inc., New York},
year = {2001},
pages = {xvi+484},
isbn = {0-471-35629-8},
mrclass = {60F05 (60F10 60F15 60G18)},
mrnumber = {1840531},
mrreviewer = {Stergios B. Fotopoulos}
}
@Article{ meerschaert.scheffler:04:limit,
author = {Meerschaert, Mark M. and Scheffler, Hans-Peter},
title = {Limit theorems for continuous-time random walks with
infinite mean waiting times},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {41},
year = {2004},
number = {3},
pages = {623--638},
issn = {0021-9002},
mrclass = {60G50 (60K40)},
mrnumber = {2074812},
mrreviewer = {Thomas Polaski},
doi = {10.1239/jap/1091543414},
url = {https://doi.org/10.1239/jap/1091543414}
}
@Article{ meerschaert.scheffler:08:triangular,
author = {Meerschaert, Mark M. and Scheffler, Hans-Peter},
title = {Triangular array limits for continuous time random walks},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {118},
year = {2008},
number = {9},
pages = {1606--1633},
issn = {0304-4149},
mrclass = {60G50 (60F17 60H30)},
mrnumber = {2442372},
mrreviewer = {Wolfgang K\"{o}nig},
doi = {10.1016/j.spa.2007.10.005},
url = {https://doi.org/10.1016/j.spa.2007.10.005}
}
@Article{ meerschaert.schilling.ea:15:stochastic,
author = {Meerschaert, Mark M. and Schilling, Ren\'{e} L. and
Sikorskii, Alla},
title = {Stochastic solutions for fractional wave equations},
journal = {Nonlinear Dynam.},
fjournal = {Nonlinear Dynamics. An International Journal of Nonlinear
Dynamics and Chaos in Engineering Systems},
volume = {80},
year = {2015},
number = {4},
pages = {1685--1695},
issn = {0924-090X},
mrclass = {35R11 (35C05 82C41)},
mrnumber = {3343424},
mrreviewer = {Roberto Garra},
doi = {10.1007/s11071-014-1299-z},
url = {https://doi.org/10.1007/s11071-014-1299-z}
}
@Book{ meerschaert.sikorskii:12:stochastic,
author = {Meerschaert, Mark M. and Sikorskii, Alla},
title = {Stochastic models for fractional calculus},
series = {De Gruyter Studies in Mathematics},
volume = {43},
publisher = {Walter de Gruyter \& Co., Berlin},
year = {2012},
pages = {x+291},
isbn = {978-3-11-025869-1},
mrclass = {60G22 (26A33 60E07 60F05 60F17 60G52 60G60 60J60)},
mrnumber = {2884383},
mrreviewer = {Marcin Magdziarz}
}
@Book{ meerschaert.sikorskii:19:stochastic,
author = {Meerschaert, Mark M. and Sikorskii, Alla},
title = {Stochastic models for fractional calculus},
series = {De Gruyter Studies in Mathematics},
volume = {43},
edition = {Second},
publisher = {De Gruyter, Berlin},
year = {2019},
pages = {xii+325},
isbn = {978-3-11-055907-1; 978-3-11-056024-4; 978-3-11-055914-9},
mrclass = {60G22 (26A33 60E07 60F05 60F17 60G50 60G52 60J60)},
mrnumber = {3971272},
doi = {10.1515/9783110560244},
url = {https://doi.org/10.1515/9783110560244}
}
@Article{ meerschaert.straka:13:inverse,
author = {Meerschaert, M. M. and Straka, P.},
title = {Inverse stable subordinators},
journal = {Math. Model. Nat. Phenom.},
fjournal = {Mathematical Modelling of Natural Phenomena},
volume = {8},
year = {2013},
number = {2},
pages = {1--16},
issn = {0973-5348},
mrclass = {60E07 (26A33 35R11 60G22 60J60)},
mrnumber = {3049524},
mrreviewer = {Marcin Magdziarz},
doi = {10.1051/mmnp/20138201},
url = {https://doi.org/10.1051/mmnp/20138201}
}
@Article{ meerschaert.wang.ea:13:fernique-type,
author = {Meerschaert, Mark M. and Wang, Wensheng and Xiao, Yimin},
title = {Fernique-type inequalities and moduli of continuity for
anisotropic {G}aussian random fields},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {365},
year = {2013},
number = {2},
pages = {1081--1107},
issn = {0002-9947},
mrclass = {60G15 (60F15 60G17 60G60)},
mrnumber = {2995384},
mrreviewer = {Lee-Peng Teo},
doi = {10.1090/S0002-9947-2012-05678-9},
url = {https://doi.org/10.1090/S0002-9947-2012-05678-9}
}
@Article{ meerschaert.wu.ea:08:local,
author = {Meerschaert, Mark and Wu, Dongsheng and Xiao, Yimin},
title = {Local times of multifractional {B}rownian sheets},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {14},
year = {2008},
number = {3},
pages = {865--898},
issn = {1350-7265,1573-9759},
mrclass = {60G22 (60G60 60J55)},
mrnumber = {2537815},
mrreviewer = {Josep\ Vives},
doi = {10.3150/08-BEJ126},
url = {https://doi.org/10.3150/08-BEJ126}
}
@Article{ meerschaert.xiao:05:dimension,
author = {Meerschaert, Mark M. and Xiao, Yimin},
title = {Dimension results for sample paths of operator stable
{L}\'{e}vy processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {115},
year = {2005},
number = {1},
pages = {55--75},
issn = {0304-4149,1879-209X},
mrclass = {60J25 (28A80 60G17 60G51)},
mrnumber = {2105369},
mrreviewer = {Marta\ Tyran-Kami\'{n}ska},
doi = {10.1016/j.spa.2004.08.004},
url = {https://doi.org/10.1016/j.spa.2004.08.004}
}
@Article{ meerson.katzav.ea:16:large,
author = {Meerson, Baruch and Katzav, Eytan and Vilenkin, Arkady},
title = {Large deviations of surface height in the
{K}ardar-{P}arisi-{Z}hang equation},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {116},
year = {2016},
number = {7},
pages = {070601, 5},
issn = {0031-9007},
mrclass = {35R60},
mrnumber = {3582125},
doi = {10.1103/PhysRevLett.116.070601},
url = {https://doi.org/10.1103/PhysRevLett.116.070601}
}
@Book{ meester.roy:96:continuum,
author = {Meester, Ronald and Roy, Rahul},
title = {Continuum percolation},
series = {Cambridge Tracts in Mathematics},
volume = {119},
publisher = {Cambridge University Press, Cambridge},
year = {1996},
pages = {x+238},
isbn = {0-521-47504-X},
mrclass = {60K35 (82B43)},
mrnumber = {1409145},
mrreviewer = {Mathew D. Penrose},
doi = {10.1017/CBO9780511895357},
url = {https://doi.org/10.1017/CBO9780511895357}
}
@InCollection{ megow.mehlhorn.ea:11:online,
title = {Online graph exploration: new results on old and new
algorithms},
author = {Megow, Nicole and Mehlhorn, Kurt and Schweitzer, Pascal},
booktitle = {Automata, Languages and Programming},
pages = {478--489},
year = {2011},
publisher = {Springer}
}
@Article{ megow.mehlhorn.ea:12:online,
author = {Nicole Megow and Kurt Mehlhorn and Pascal Schweitzer},
title = {Online graph exploration: New results on old and new
algorithms},
journal = {Theor. Comput. Sci.},
year = {2012},
volume = {463},
pages = {62--72}
}
@Book{ mehta:04:random,
author = {Mehta, Madan Lal},
title = {Random matrices},
series = {Pure and Applied Mathematics (Amsterdam)},
volume = {142},
edition = {Third},
publisher = {Elsevier/Academic Press, Amsterdam},
year = {2004},
pages = {xviii+688},
isbn = {0-12-088409-7},
mrclass = {82-02 (15-02 15A52 60B99 60K35 82B41)},
mrnumber = {2129906}
}
@Book{ mehta:67:random,
author = {Mehta, M. L.},
title = {Random matrices and the statistical theory of energy
levels},
publisher = {Academic Press, New York-London},
year = {1967},
pages = {x+259},
mrclass = {82.60},
mrnumber = {220494},
mrreviewer = {N. Rosenzweig}
}
@Book{ mehta:91:random,
author = {Mehta, Madan Lal},
title = {Random matrices},
edition = {Second},
publisher = {Academic Press, Inc., Boston, MA},
year = {1991},
pages = {xviii+562},
isbn = {0-12-488051-7},
mrclass = {82-02 (15A52 60B99 60K35 82B41)},
mrnumber = {1083764},
mrreviewer = {B. S. Nahapetian}
}
@Article{ mejane:04:upper,
author = {Mejane, Olivier},
title = {Upper bound of a volume exponent for directed polymers in
a random environment},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {40},
year = {2004},
number = {3},
pages = {299--308},
issn = {0246-0203},
mrclass = {60K37 (60G42 82B44 82D60)},
mrnumber = {2060455},
mrreviewer = {Dimitri Petritis},
doi = {10.1016/S0246-0203(03)00072-4},
url = {https://doi.org/10.1016/S0246-0203(03)00072-4}
}
@Article{ melo.poonen.ea:15:work,
author = {de Melo, Welington and Poonen, Bjorn and Quastel, Jeremy
and Zorich, Anton},
title = {The work of the 2014 {F}ields medalists},
journal = {Notices Amer. Math. Soc.},
fjournal = {Notices of the American Mathematical Society},
volume = {62},
year = {2015},
number = {11},
pages = {1334--1349},
issn = {0002-9920},
mrclass = {01A70},
mrnumber = {3937286},
doi = {10.1090/noti1317},
url = {https://doi.org/10.1090/noti1317}
}
@Article{ memin.mishura.ea:01:inequalities,
author = {M\'{e}min, Jean and Mishura, Yulia and Valkeila, Esko},
title = {Inequalities for the moments of {W}iener integrals with
respect to a fractional {B}rownian motion},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {51},
year = {2001},
number = {2},
pages = {197--206},
issn = {0167-7152},
mrclass = {60H05 (60G15)},
mrnumber = {1822771},
mrreviewer = {Laurent Decreusefond},
doi = {10.1016/S0167-7152(00)00157-7},
url = {https://doi.org/10.1016/S0167-7152(00)00157-7}
}
@Article{ memin:80:espaces,
author = {M\'{e}min, Jean},
title = {Espaces de semi martingales et changement de
probabilit\'{e}},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {52},
year = {1980},
number = {1},
pages = {9--39},
issn = {0044-3719},
mrclass = {60H05 (60G44)},
mrnumber = {568256},
mrreviewer = {Yu. M. Kabanov},
doi = {10.1007/BF00534184},
url = {https://doi.org/10.1007/BF00534184}
}
@InCollection{ men-shikov.molchanov.ea:86:percolation,
author = {Men{\cprime}shikov, M. V. and Molchanov, S. A. and
Sidorenko, A. F.},
title = {Percolation theory and some applications},
booktitle = {Probability theory. {M}athematical statistics.
{T}heoretical cybernetics, {V}ol. 24 ({R}ussian)},
series = {Itogi Nauki i Tekhniki},
pages = {53--110, i},
note = {Translated in J. Soviet Math. {{\bf{4}}2} (1988), no. 4,
1766--1810},
publisher = {Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform.,
Moscow},
year = {1986},
mrclass = {60K35 (82-02 82A43)},
mrnumber = {865158},
mrreviewer = {P. A. Kuchment}
}
@Article{ men-shikov.sidorenko:87:coincidence,
author = {Men{\cprime}shikov, M. V. and Sidorenko, A. F.},
title = {Coincidence of critical points in {P}oisson percolation
models},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Akademiya Nauk SSSR. Teoriya Veroyatnoste\u{\i} i ee
Primeneniya},
volume = {32},
year = {1987},
number = {3},
pages = {603--606},
issn = {0040-361X},
mrclass = {60K35},
mrnumber = {914958},
mrreviewer = {Kai Long Ren}
}
@Article{ men-shikov:86:coincidence,
author = {Men{\cprime}shikov, M. V.},
title = {Coincidence of critical points in percolation problems},
journal = {Dokl. Akad. Nauk SSSR},
fjournal = {Doklady Akademii Nauk SSSR},
volume = {288},
year = {1986},
number = {6},
pages = {1308--1311},
issn = {0002-3264},
mrclass = {60K35 (82A43)},
mrnumber = {852458},
mrreviewer = {P. A. Kuchment}
}
@Article{ mendez.mitrea:00:banach,
author = {Mendez, Osvaldo and Mitrea, Marius},
title = {The {B}anach envelopes of {B}esov and {T}riebel-{L}izorkin
spaces and applications to partial differential equations},
journal = {J. Fourier Anal. Appl.},
fjournal = {The Journal of Fourier Analysis and Applications},
volume = {6},
year = {2000},
number = {5},
pages = {503--531},
issn = {1069-5869},
mrclass = {46E35 (35J55 42B20 42B35 46A16 47G10)},
mrnumber = {1781091},
mrreviewer = {Maria A. Ragusa},
doi = {10.1007/BF02511543},
url = {https://doi.org/10.1007/BF02511543}
}
@Article{ meneguzzi.frisch.ea:81:helical,
title = {Helical and Nonhelical Turbulent Dynamos},
author = {Meneguzzi, M. and Frisch, U. and Pouquet, A.},
journal = {Phys. Rev. Lett.},
volume = {47},
issue = {15},
pages = {1060--1064},
numpages = {0},
year = {1981},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.47.1060},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.47.1060}
}
@Article{ meng.nane:20:space-time,
author = {Meng, Xiangqian and Nane, Erkan},
title = {Space-time fractional stochastic partial differential
equations with {L}\'{e}vy noise},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis},
volume = {23},
year = {2020},
number = {1},
pages = {224--249},
issn = {1311-0454},
mrclass = {60H15 (26A33 35R11 35R60 60H40)},
mrnumber = {4069928},
doi = {10.1515/fca-2020-0009},
url = {https://doi.org/10.1515/fca-2020-0009}
}
@Article{ menoukeu-pamen.meyer-brandis.ea:13:variational,
author = {Menoukeu-Pamen, Olivier and Meyer-Brandis, Thilo and
Nilssen, Torstein and Proske, Frank and Zhang, Tusheng},
title = {A variational approach to the construction and {M}alliavin
differentiability of strong solutions of {SDE}'s},
journal = {Math. Ann.},
fjournal = {Mathematische Annalen},
volume = {357},
year = {2013},
number = {2},
pages = {761--799},
issn = {0025-5831},
mrclass = {60H10 (60H07 60H40)},
mrnumber = {3096525},
mrreviewer = {Jan I. Seidler},
doi = {10.1007/s00208-013-0916-3},
url = {https://doi.org/10.1007/s00208-013-0916-3}
}
@Article{ merle.zaag:98:optimal,
author = {Merle, Frank and Zaag, Hatem},
title = {Optimal estimates for blowup rate and behavior for
nonlinear heat equations},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {51},
year = {1998},
number = {2},
pages = {139--196},
issn = {0010-3640},
mrclass = {35K60 (35B05 35K05)},
mrnumber = {1488298},
mrreviewer = {Dian K. Palagachev},
doi = {10.1002/(SICI)1097-0312(199802)51:2<139::AID-CPA2>3.0.CO;2-C},
url = {https://doi.org/10.1002/(SICI)1097-0312(199802)51:2<139::AID-CPA2>3.0.CO;2-C}
}
@Article{ merlevede.peligrad.ea:06:recent,
author = {Merlev\`ede, Florence and Peligrad, Magda and Utev,
Sergey},
title = {Recent advances in invariance principles for stationary
sequences},
journal = {Probab. Surv.},
fjournal = {Probability Surveys},
volume = {3},
year = {2006},
pages = {1--36},
mrclass = {60F17 (60G10)},
mrnumber = {2206313},
mrreviewer = {Ken-ichi Yoshihara},
doi = {10.1214/154957806100000202},
url = {https://doi.org/10.1214/154957806100000202}
}
@Article{ merrick.parnell:11:comparative,
title = {A comparative analysis of {PRA} and intelligent adversary
methods for counterterrorism risk management},
author = {Merrick, Jason and Parnell, Gregory S},
journal = {Risk Analysis: An International Journal},
volume = {31},
number = {9},
pages = {1488--1510},
year = {2011},
publisher = {Wiley Online Library}
}
@Article{ merzbach.nualart:85:different,
author = {Merzbach, Ely and Nualart, David},
title = {Different kinds of two-parameter martingales},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {52},
year = {1985},
number = {3},
pages = {193--208},
issn = {0021-2172},
mrclass = {60H05 (60G44 60G60)},
mrnumber = {815809},
mrreviewer = {M. Zakai},
doi = {10.1007/BF02786515},
url = {https://doi.org/10.1007/BF02786515}
}
@Article{ merzbach.nualart:86:characterization,
author = {Merzbach, Ely and Nualart, David},
title = {A characterization of the spatial {P}oisson process and
changing time},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {14},
year = {1986},
number = {4},
pages = {1380--1390},
issn = {0091-1798},
mrclass = {60G55 (60G48 60G60)},
mrnumber = {866358},
mrreviewer = {J. Walsh},
url = {http://links.jstor.org/sici?sici=0091-1798(198610)14:4<1380:ACOTSP>2.0.CO;2-S&origin=MSN}
}
@Article{ merzbach.nualart:88:martingale,
author = {Merzbach, Ely and Nualart, David},
title = {A martingale approach to point processes in the plane},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {16},
year = {1988},
number = {1},
pages = {265--274},
issn = {0091-1798},
mrclass = {60G55},
mrnumber = {920270},
mrreviewer = {A. N. Al-Hussaini},
url = {http://links.jstor.org/sici?sici=0091-1798(198801)16:1<265:AMATPP>2.0.CO;2-8&origin=MSN}
}
@Article{ merzbach.nualart:89:generalized,
author = {Merzbach, Ely and Nualart, David},
title = {Generalized holomorphic processes and differentiability},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {2},
year = {1989},
number = {4},
pages = {419--432},
issn = {0894-9840},
mrclass = {60H05 (60H07)},
mrnumber = {1011196},
mrreviewer = {Daniel Ocone},
doi = {10.1007/BF01051875},
url = {https://doi.org/10.1007/BF01051875}
}
@Article{ merzbach.nualart:90:markov,
author = {Merzbach, Ely and Nualart, David},
title = {Markov properties for point processes on the plane},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {18},
year = {1990},
number = {1},
pages = {342--358},
issn = {0091-1798},
mrclass = {60J75 (60G55 60J25 60J30)},
mrnumber = {1043951},
mrreviewer = {V. S. Mandrekar},
url = {http://links.jstor.org/sici?sici=0091-1798(199001)18:1<342:MPFPPO>2.0.CO;2-Q&origin=MSN}
}
@Article{ metivier.pellaumail:77:mesures,
author = {M\'{e}tivier, M. and Pellaumail, J.},
title = {Mesures stochastiques \`a valeurs dans des espaces
{$L_{0}$}},
journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {40},
year = {1977},
number = {2},
pages = {101--114},
mrclass = {60H05 (28A45)},
mrnumber = {471080},
mrreviewer = {Murali Rao},
doi = {10.1007/BF00532875},
url = {https://doi.org/10.1007/BF00532875}
}
@Book{ metivier:82:semimartingales,
author = {M\'{e}tivier, Michel},
title = {Semimartingales},
series = {de Gruyter Studies in Mathematics},
volume = {2},
note = {A course on stochastic processes},
publisher = {Walter de Gruyter \& Co., Berlin-New York},
year = {1982},
pages = {xi+287},
isbn = {3-11-008674-3},
mrclass = {60-02 (60Gxx 60Hxx)},
mrnumber = {688144},
mrreviewer = {Philip Protter}
}
@Article{ metzler.klafter:00:random,
title = {The random walk's guide to anomalous diffusion: a
fractional dynamics approach},
journal = {Physics Reports},
volume = {339},
number = {1},
pages = {1--77},
year = {2000},
issn = {0370-1573},
doi = {https://doi.org/10.1016/S0370-1573(00)00070-3},
url = {https://www.sciencedirect.com/science/article/pii/S0370157300000703},
author = {Ralf Metzler and Joseph Klafter},
keywords = {Anomalous diffusion, Fractional diffusion equation,
Fractional Fokker–Planck equation, Anomalous relaxation,
Mittag–Leffler relaxation, Dynamics in complex systems}
}
@Article{ metzler.klafter:00:random*1,
author = {Metzler, Ralf and Klafter, Joseph},
title = {The random walk's guide to anomalous diffusion: a
fractional dynamics approach},
journal = {Phys. Rep.},
fjournal = {Physics Reports. A Review Section of Physics Letters},
volume = {339},
year = {2000},
number = {1},
pages = {77},
issn = {0370-1573},
mrclass = {82C31 (82C70)},
mrnumber = {1809268},
doi = {10.1016/S0370-1573(00)00070-3},
url = {https://doi.org/10.1016/S0370-1573(00)00070-3}
}
@Article{ metzler.klafter:04:restaurant,
author = {Metzler, Ralf and Klafter, Joseph},
title = {The restaurant at the end of the random walk: recent
developments in the description of anomalous transport by
fractional dynamics},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {37},
year = {2004},
number = {31},
pages = {R161--R208},
issn = {0305-4470},
mrclass = {82C70 (82-02)},
mrnumber = {2090004},
doi = {10.1088/0305-4470/37/31/R01},
url = {https://doi.org/10.1088/0305-4470/37/31/R01}
}
@Article{ metzler.nonnenmacher:98:fractional,
author = {Metzler, Ralf and Nonnenmacher, Theo F.},
title = {Fractional diffusion, waiting-time distributions, and
{C}attaneo-type equations},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {57},
year = {1998},
number = {6},
pages = {6409--6414},
issn = {1539-3755},
mrclass = {82C31},
mrnumber = {1628238},
doi = {10.1103/PhysRevE.57.6409},
url = {https://doi.org/10.1103/PhysRevE.57.6409}
}
@InCollection{ meyer:89:wavelets,
author = {Meyer, Yves},
title = {Wavelets and operators},
booktitle = {Analysis at {U}rbana, {V}ol. {I} ({U}rbana, {IL},
1986--1987)},
series = {London Math. Soc. Lecture Note Ser.},
volume = {137},
pages = {256--365},
publisher = {Cambridge Univ. Press, Cambridge},
year = {1989},
mrclass = {42C15 (42B20 46B20)},
mrnumber = {1009177},
mrreviewer = {M. Mikol\'{a}s}
}
@Article{ meyries.veraar:12:sharp,
author = {Meyries, Martin and Veraar, Mark},
title = {Sharp embedding results for spaces of smooth functions
with power weights},
journal = {Studia Math.},
fjournal = {Studia Mathematica},
volume = {208},
year = {2012},
number = {3},
pages = {257--293},
issn = {0039-3223,1730-6337},
mrclass = {46E35},
mrnumber = {2911497},
mrreviewer = {Maria\ Transirico},
doi = {10.4064/sm208-3-5},
url = {https://doi.org/10.4064/sm208-3-5}
}
@Article{ meyries.veraar:14:characterization,
author = {Meyries, Martin and Veraar, Mark},
title = {Characterization of a class of embeddings for function
spaces with {M}uckenhoupt weights},
journal = {Arch. Math. (Basel)},
fjournal = {Archiv der Mathematik},
volume = {103},
year = {2014},
number = {5},
pages = {435--449},
issn = {0003-889X,1420-8938},
mrclass = {46E35 (46E40)},
mrnumber = {3281291},
mrreviewer = {Dirk\ Werner},
doi = {10.1007/s00013-014-0706-5},
url = {https://doi.org/10.1007/s00013-014-0706-5}
}
@Article{ meyries.veraar:14:traces,
author = {Meyries, Martin and Veraar, Mark C.},
title = {Traces and embeddings of anisotropic function spaces},
journal = {Math. Ann.},
fjournal = {Mathematische Annalen},
volume = {360},
year = {2014},
number = {3-4},
pages = {571--606},
issn = {0025-5831,1432-1807},
mrclass = {46E35 (46E40 80A22)},
mrnumber = {3273638},
mrreviewer = {Leszek\ Skrzypczak},
doi = {10.1007/s00208-014-1042-6},
url = {https://doi.org/10.1007/s00208-014-1042-6}
}
@Article{ meyries.veraar:15:pointwise,
author = {Meyries, Martin and Veraar, Mark},
title = {Pointwise multiplication on vector-valued function spaces
with power weights},
journal = {J. Fourier Anal. Appl.},
fjournal = {The Journal of Fourier Analysis and Applications},
volume = {21},
year = {2015},
number = {1},
pages = {95--136},
issn = {1069-5869,1531-5851},
mrclass = {42B25 (46E35 46E40)},
mrnumber = {3302103},
mrreviewer = {Boris\ I.\ Peleshenko},
doi = {10.1007/s00041-014-9362-1},
url = {https://doi.org/10.1007/s00041-014-9362-1}
}
@Article{ mezard.parisi.ea:84:replica,
author = {M\'{e}zard, M. and Parisi, G. and Sourlas, N. and
Toulouse, G. and Virasoro, M.},
title = {Replica symmetry breaking and the nature of the spin glass
phase},
journal = {J. Physique},
fjournal = {Le Journal de Physique},
volume = {45},
year = {1984},
number = {5},
pages = {843--854},
issn = {0302-0738},
mrclass = {82A57 (82A25)},
mrnumber = {746889},
mrreviewer = {H. N. V. Temperley},
doi = {10.1051/jphys:01984004505084300},
url = {https://doi.org/10.1051/jphys:01984004505084300}
}
@Book{ mezard.parisi.ea:87:spin,
author = {M\'{e}zard, Marc and Parisi, Giorgio and Virasoro, Miguel
Angel},
title = {Spin glass theory and beyond},
series = {World Scientific Lecture Notes in Physics},
volume = {9},
publisher = {World Scientific Publishing Co., Inc., Teaneck, NJ},
year = {1987},
pages = {xiv+461},
isbn = {9971-50-115-5; 9971-50-116-3},
mrclass = {82D30 (68T01 82-02 82C32 92B20)},
mrnumber = {1026102},
mrreviewer = {Aernout C. D. van Enter}
}
@Article{ michels:02:p-sets,
author = {Michels, Carsten},
title = {{$\Lambda(p)$}-sets and the limit order of operator
ideals},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {239/240},
year = {2002},
pages = {170--176},
issn = {0025-584X},
mrclass = {47B10 (43A40 43A46 46M35 47L20)},
mrnumber = {1905669},
mrreviewer = {Hermann K\"{o}nig},
doi = {10.1002/1522-2616(200206)239:1<170::AID-MANA170>3.0.CO;2-#},
url = {https://doi.org/10.1002/1522-2616(200206)239:1<170::AID-MANA170>3.0.CO;2-#}
}
@Article{ mielke.schneider:95:attractors,
author = {Mielke, Alexander and Schneider, Guido},
title = {Attractors for modulation equations on unbounded
domains---existence and comparison},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {8},
year = {1995},
number = {5},
pages = {743--768},
issn = {0951-7715},
mrclass = {58F39 (35B40 35Q55 47H20 58F12)},
mrnumber = {1355041},
url = {http://stacks.iop.org/0951-7715/8/743}
}
@Article{ mierczynski.shen.ea:04:uniform,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian and Zhao,
Xiao-Qiang},
title = {Uniform persistence for nonautonomous and random parabolic
{K}olmogorov systems},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {204},
year = {2004},
number = {2},
pages = {471--510},
issn = {0022-0396,1090-2732},
mrclass = {37L30 (35B41 37B55 37H15 37L55 92D25)},
mrnumber = {2085544},
mrreviewer = {Antonio\ Su\'{a}rez Fern\'{a}ndez},
doi = {10.1016/j.jde.2004.02.014},
url = {https://doi.org/10.1016/j.jde.2004.02.014}
}
@Article{ mierczynski.shen:03:exponential,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Exponential separation and principal {L}yapunov
exponent/spectrum for random/nonautonomous parabolic
equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {191},
year = {2003},
number = {1},
pages = {175--205},
issn = {0022-0396,1090-2732},
mrclass = {35R60 (35K20 35P15 37H05 37L55)},
mrnumber = {1973287},
mrreviewer = {Krystyna\ Twardowska},
doi = {10.1016/S0022-0396(03)00016-0},
url = {https://doi.org/10.1016/S0022-0396(03)00016-0}
}
@Article{ mierczynski.shen:04:lyapunov,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Lyapunov exponents and asymptotic dynamics in random
{K}olmogorov models},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {4},
year = {2004},
number = {3},
pages = {371--390},
issn = {1424-3199,1424-3202},
mrclass = {37H15 (35B40 35R60 37L55)},
mrnumber = {2120129},
mrreviewer = {Bj\"{o}rn\ Schmalfuss},
doi = {10.1007/s00028-004-0160-0},
url = {https://doi.org/10.1007/s00028-004-0160-0}
}
@Article{ mierczynski.shen:05:faber-krahn,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {The {F}aber-{K}rahn inequality for random/nonautonomous
parabolic equations},
journal = {Commun. Pure Appl. Anal.},
fjournal = {Communications on Pure and Applied Analysis},
volume = {4},
year = {2005},
number = {1},
pages = {101--114},
issn = {1534-0392,1553-5258},
mrclass = {35R60 (35B10 35J25 35K20 37H99)},
mrnumber = {2126280},
mrreviewer = {Sandra\ Cerrai},
doi = {10.3934/cpaa.2005.4.101},
url = {https://doi.org/10.3934/cpaa.2005.4.101}
}
@Book{ mierczynski.shen:08:spectral,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Spectral theory for random and nonautonomous parabolic
equations and applications},
series = {Chapman \& Hall/CRC Monographs and Surveys in Pure and
Applied Mathematics},
volume = {139},
publisher = {CRC Press, Boca Raton, FL},
year = {2008},
pages = {xiv+317},
isbn = {978-1-58488-895-6; 1-58488-895-4},
mrclass = {35P05 (35-02 35R60 37H15 92B05)},
mrnumber = {2464792},
mrreviewer = {Krystyna\ Twardowska},
doi = {10.1201/9781584888963},
url = {https://doi.org/10.1201/9781584888963}
}
@Article{ mierczynski.shen:08:time,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Time averaging for nonautonomous/random linear parabolic
equations},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {9},
year = {2008},
number = {3-4},
pages = {661--699},
issn = {1531-3492,1553-524X},
mrclass = {35K20 (35R60 37H15 37L55)},
mrnumber = {2379432},
doi = {10.3934/dcdsb.2008.9.661},
url = {https://doi.org/10.3934/dcdsb.2008.9.661}
}
@Article{ mierczynski.shen:11:persistence,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Persistence in forward nonautonomous competitive systems
of parabolic equations},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {23},
year = {2011},
number = {3},
pages = {551--571},
issn = {1040-7294,1572-9222},
mrclass = {35K51 (35B40 35K91 37N25 92D25)},
mrnumber = {2836650},
doi = {10.1007/s10884-010-9181-2},
url = {https://doi.org/10.1007/s10884-010-9181-2}
}
@Article{ mierczynski.shen:13:principal,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Principal {L}yapunov exponents and principal {F}loquet
spaces of positive random dynamical systems. {II}.
{F}inite-dimensional systems},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {404},
year = {2013},
number = {2},
pages = {438--458},
issn = {0022-247X,1096-0813},
mrclass = {37Hxx},
mrnumber = {3045185},
doi = {10.1016/j.jmaa.2013.03.039},
url = {https://doi.org/10.1016/j.jmaa.2013.03.039}
}
@Article{ mierczynski.shen:13:principal*1,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Principal {L}yapunov exponents and principal {F}loquet
spaces of positive random dynamical systems. {I}. {G}eneral
theory},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {365},
year = {2013},
number = {10},
pages = {5329--5365},
issn = {0002-9947,1088-6850},
mrclass = {37H15 (37A30 37L55)},
mrnumber = {3074376},
mrreviewer = {Md.\ Shafiqul\ Islam},
doi = {10.1090/S0002-9947-2013-05814-X},
url = {https://doi.org/10.1090/S0002-9947-2013-05814-X}
}
@InCollection{ mierczynski.shen:13:spectral,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Spectral theory for forward nonautonomous parabolic
equations and applications},
booktitle = {Infinite dimensional dynamical systems},
series = {Fields Inst. Commun.},
volume = {64},
pages = {57--99},
publisher = {Springer, New York},
year = {2013},
isbn = {978-1-4614-4522-7; 978-1-4614-4523-4},
mrclass = {35K20 (35P05 35P15)},
mrnumber = {2986931},
doi = {10.1007/978-1-4614-4523-4\_2},
url = {https://doi.org/10.1007/978-1-4614-4523-4_2}
}
@Article{ mierczynski.shen:16:formulas,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Formulas for generalized principal {L}yapunov exponent for
parabolic {PDE}s},
journal = {Discrete Contin. Dyn. Syst. Ser. S},
fjournal = {Discrete and Continuous Dynamical Systems. Series S},
volume = {9},
year = {2016},
number = {4},
pages = {1189--1199},
issn = {1937-1632,1937-1179},
mrclass = {35R60 (35C15 35K20 37H15)},
mrnumber = {3543652},
doi = {10.3934/dcdss.2016048},
url = {https://doi.org/10.3934/dcdss.2016048}
}
@Article{ mierczynski.shen:16:principal,
author = {Mierczy\'{n}ski, Janusz and Shen, Wenxian},
title = {Principal {L}yapunov exponents and principal {F}loquet
spaces of positive random dynamical systems. {III}.
{P}arabolic equations and delay systems},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {28},
year = {2016},
number = {3-4},
pages = {1039--1079},
issn = {1040-7294,1572-9222},
mrclass = {37H15 (34D08 34K50 35K20 35R60 37L55)},
mrnumber = {3537364},
mrreviewer = {M.\ L.\ Blank},
doi = {10.1007/s10884-015-9436-z},
url = {https://doi.org/10.1007/s10884-015-9436-z}
}
@Article{ miettinen.myllys.ea:05:experimental,
author = "Miettinen, L. and Myllys, M. and Merikoski, J. and
Timonen, J.",
title = "Experimental determination of KPZ height-fluctuation
distributions",
journal = "The European Physical Journal B - Condensed Matter and
Complex Systems",
year = "2005",
month = "Jul",
day = "01",
volume = "46",
number = "1",
pages = "55--60",
issn = "1434-6036",
doi = "10.1140/epjb/e2005-00235-y",
url = "https://doi.org/10.1140/epjb/e2005-00235-y"
}
@Article{ mijena.nane:14:correlation,
author = {Mijena, Jebessa B. and Nane, Erkan},
title = {Correlation structure of time-changed {P}earson
diffusions},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {90},
year = {2014},
pages = {68--77},
issn = {0167-7152},
mrclass = {60J60 (26A33 60G22)},
mrnumber = {3196859},
mrreviewer = {Caibin Zeng},
doi = {10.1016/j.spl.2014.03.020},
url = {https://doi.org/10.1016/j.spl.2014.03.020}
}
@Article{ mijena.nane:14:strong,
author = {Mijena, Jebessa B. and Nane, Erkan},
title = {Strong analytic solutions of fractional {C}auchy
problems},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {142},
year = {2014},
number = {5},
pages = {1717--1731},
issn = {0002-9939},
mrclass = {35R11 (35C15 35S05 47G30 60G51 60K99)},
mrnumber = {3168478},
mrreviewer = {Arnaud F. Heibig},
doi = {10.1090/S0002-9939-2014-11905-8},
url = {https://doi.org/10.1090/S0002-9939-2014-11905-8}
}
@Article{ mijena.nane:15:space-time,
author = {Mijena, Jebessa B. and Nane, Erkan},
title = {Space-time fractional stochastic partial differential
equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {9},
pages = {3301--3326},
issn = {0304-4149},
mrclass = {60H15 (35R11 35R60)},
mrnumber = {3357610},
mrreviewer = {Jan I. Seidler},
doi = {10.1016/j.spa.2015.04.008},
url = {https://doi.org/10.1016/j.spa.2015.04.008}
}
@Article{ mijena.nane:16:intermittence,
author = {Mijena, Jebessa B. and Nane, Erkan},
title = {Intermittence and space-time fractional stochastic partial
differential equations},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {44},
year = {2016},
number = {2},
pages = {295--312},
issn = {0926-2601},
mrclass = {60H15},
mrnumber = {3460026},
mrreviewer = {Raluca M. Balan},
doi = {10.1007/s11118-015-9512-3},
url = {https://doi.org/10.1007/s11118-015-9512-3}
}
@Article{ mikulevicius.rozovskii:01:note,
author = {Mikulevicius, R. and Rozovskii, B.},
title = {A note on {K}rylov's {$L_p$}-theory for systems of
{SPDE}s},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {6},
year = {2001},
pages = {no. 12, 35},
issn = {1083-6489},
mrclass = {60H15 (35R60)},
mrnumber = {1831807},
mrreviewer = {Zdzis{\l}aw Brze\'{z}niak},
doi = {10.1214/EJP.v6-85},
url = {https://doi.org/10.1214/EJP.v6-85}
}
@Article{ mikulevicius.rozovskii:04:stochastic,
author = {Mikulevicius, R. and Rozovskii, B. L.},
title = {Stochastic {N}avier-{S}tokes equations for turbulent
flows},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {35},
year = {2004},
number = {5},
pages = {1250--1310},
issn = {0036-1410},
mrclass = {60H15 (35Q30 35R60 76D05 76F02 76M35)},
mrnumber = {2050201},
mrreviewer = {Anna Karczewska},
doi = {10.1137/S0036141002409167},
url = {https://doi.org/10.1137/S0036141002409167}
}
@InCollection{ mikulevicius.rozovskii:99:martingale,
author = {Mikulevicius, R. and Rozovskii, B. L.},
title = {Martingale problems for stochastic {PDE}'s},
booktitle = {Stochastic partial differential equations: six
perspectives},
series = {Math. Surveys Monogr.},
volume = {64},
pages = {243--325},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1999},
mrclass = {60H15 (35R60)},
mrnumber = {1661767},
mrreviewer = {Nicholas Frangos},
doi = {10.1090/surv/064/06},
url = {https://doi.org/10.1090/surv/064/06}
}
@Article{ miles:79:on,
author = {Miles, John W.},
title = {On the {K}orteweg-de\thinspace {V}ries equation for a
gradually varying channel},
journal = {J. Fluid Mech.},
fjournal = {Journal of Fluid Mechanics},
volume = {91},
year = {1979},
number = {1},
pages = {181--190},
issn = {0022-1120},
mrclass = {76B25 (35Q20)},
mrnumber = {532306},
doi = {10.1017/S0022112079000100},
url = {https://doi.org/10.1017/S0022112079000100}
}
@Article{ milian:02:comparison,
author = {Milian, Anna},
title = {Comparison theorems for stochastic evolution equations},
journal = {Stoch. Stoch. Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {72},
year = {2002},
number = {1-2},
pages = {79--108},
issn = {1045-1129},
mrclass = {60H15},
mrnumber = {1896438},
mrreviewer = {Jan I. Seidler},
doi = {10.1080/10451120290008566},
url = {https://doi.org/10.1080/10451120290008566}
}
@Article{ miller.derrida:94:weak-disorder,
author = {Miller, Jeffrey D. and Derrida, Bernard},
title = {Weak-disorder expansion for the {A}nderson model on a
tree},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {75},
year = {1994},
number = {3-4},
pages = {357--388},
issn = {0022-4715,1572-9613},
mrclass = {82B44 (81Q10)},
mrnumber = {1279757},
mrreviewer = {Anton\ Bovier},
doi = {10.1007/BF02186867},
url = {https://doi.org/10.1007/BF02186867}
}
@Book{ miller.ross:93:introduction,
author = {Miller, Kenneth S. and Ross, Bertram},
title = {An introduction to the fractional calculus and fractional
differential equations},
series = {A Wiley-Interscience Publication},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1993},
pages = {xvi+366},
isbn = {0-471-58884-9},
mrclass = {26A33 (01A05 34A25 47N99)},
mrnumber = {1219954},
mrreviewer = {K. C. Gupta}
}
@Article{ miller.sheffield:16:imaginary,
author = {Miller, Jason and Sheffield, Scott},
title = {Imaginary geometry {I}: interacting {SLE}s},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {164},
year = {2016},
number = {3-4},
pages = {553--705},
issn = {0178-8051},
mrclass = {60J67 (81T40)},
mrnumber = {3477777},
mrreviewer = {Ben Dyhr},
doi = {10.1007/s00440-016-0698-0},
url = {https://doi.org/10.1007/s00440-016-0698-0}
}
@Article{ miller.sheffield:17:imaginary,
author = {Miller, Jason and Sheffield, Scott},
title = {Imaginary geometry {IV}: interior rays, whole-plane
reversibility, and space-filling trees},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {169},
year = {2017},
number = {3-4},
pages = {729--869},
issn = {0178-8051},
mrclass = {60J67 (60K35)},
mrnumber = {3719057},
mrreviewer = {Ben Dyhr},
doi = {10.1007/s00440-017-0780-2},
url = {https://doi.org/10.1007/s00440-017-0780-2}
}
@Article{ miller.wu:17:intersections,
author = {Miller, Jason and Wu, Hao},
title = {Intersections of {SLE} paths: the double and cut point
dimension of {SLE}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {167},
year = {2017},
number = {1-2},
pages = {45--105},
issn = {0178-8051},
mrclass = {60J67 (60D05)},
mrnumber = {3602842},
doi = {10.1007/s00440-015-0677-x},
url = {https://doi.org/10.1007/s00440-015-0677-x}
}
@Book{ miller:71:nonlinear,
author = {Miller, Richard K.},
title = {Nonlinear {V}olterra integral equations},
series = {Mathematics Lecture Note Series},
publisher = {W. A. Benjamin, Inc., Menlo Park, Calif.},
year = {1971},
pages = {ix+468},
mrclass = {45-02},
mrnumber = {0511193}
}
@Article{ millet.morien:01:on,
author = {Millet, Annie and Morien, Pierre-Luc},
title = {On a nonlinear stochastic wave equation in the plane:
existence and uniqueness of the solution},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {11},
year = {2001},
number = {3},
pages = {922--951},
issn = {1050-5164},
mrclass = {60H15 (35L70 35R60)},
mrnumber = {1865028},
mrreviewer = {Nicholas Frangos},
doi = {10.1214/aoap/1015345353},
url = {https://doi.org/10.1214/aoap/1015345353}
}
@Article{ millet.nualart.ea:89:integration,
author = {Millet, A. and Nualart, D. and Sanz, M.},
title = {Integration by parts and time reversal for diffusion
processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {17},
year = {1989},
number = {1},
pages = {208--238},
issn = {0091-1798},
mrclass = {60J60 (60H07)},
mrnumber = {972782},
url = {http://links.jstor.org/sici?sici=0091-1798(198901)17:1<208:IBPATR>2.0.CO;2-2&origin=MSN}
}
@Article{ millet.nualart.ea:89:time,
author = {Millet, Annie and Nualart, David and Sanz, Marta},
title = {Time reversal for infinite-dimensional diffusions},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {82},
year = {1989},
number = {3},
pages = {315--347},
issn = {0178-8051},
mrclass = {60J60 (60H10)},
mrnumber = {1001517},
mrreviewer = {M. Zakai},
doi = {10.1007/BF00339991},
url = {https://doi.org/10.1007/BF00339991}
}
@InCollection{ millet.nualart.ea:91:composition,
author = {Millet, Annie and Nualart, David and Sanz, Marta},
title = {Composition of large deviation principles and
applications},
booktitle = {Stochastic analysis},
pages = {383--395},
publisher = {Academic Press, Boston, MA},
year = {1991},
mrclass = {60F10 (60H10)},
mrnumber = {1119840},
mrreviewer = {Paolo Baldi}
}
@InCollection{ millet.nualart.ea:91:small,
author = {Millet, A. and Nualart, D. and Sanz, M.},
title = {Small perturbations for quasilinear anticipating
stochastic differential equations},
booktitle = {Random partial differential equations ({O}berwolfach,
1989)},
series = {Internat. Ser. Numer. Math.},
volume = {102},
pages = {149--157},
publisher = {Birkh\"{a}user, Basel},
year = {1991},
mrclass = {60H99 (35R60 60F10)},
mrnumber = {1185746},
mrreviewer = {P. Sundar},
doi = {10.1007/978-3-0348-6413-8\_12},
url = {https://doi.org/10.1007/978-3-0348-6413-8_12}
}
@Article{ millet.nualart.ea:92:large,
author = {Millet, A. and Nualart, D. and Sanz, M.},
title = {Large deviations for a class of anticipating stochastic
differential equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {20},
year = {1992},
number = {4},
pages = {1902--1931},
issn = {0091-1798},
mrclass = {60H10 (60F10)},
mrnumber = {1188048},
mrreviewer = {Fabienne Castell},
url = {http://links.jstor.org/sici?sici=0091-1798(199210)20:4<1902:LDFACO>2.0.CO;2-G&origin=MSN}
}
@Article{ millet.nualart:91:theoreme,
author = {Millet, Annie and Nualart, David},
title = {Th\'{e}or\`eme de support pour une classe d'\'{e}quations
diff\'{e}rentielles stochastiques anticipantes},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {312},
year = {1991},
number = {10},
pages = {743--746},
issn = {0764-4442},
mrclass = {60H10},
mrnumber = {1105638}
}
@Article{ millet.nualart:92:support,
author = {Millet, Annie and Nualart, David},
title = {Support theorems for a class of anticipating stochastic
differential equations},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {39},
year = {1992},
number = {1},
pages = {1--24},
issn = {1045-1129},
mrclass = {60H10 (60H05)},
mrnumber = {1293299},
mrreviewer = {Mireille Chaleyat-Maurel},
doi = {10.1080/17442509208833760},
url = {https://doi.org/10.1080/17442509208833760}
}
@Article{ millet.sanz-sole:00:approximation,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {Approximation and support theorem for a wave equation in
two space dimensions},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {6},
year = {2000},
number = {5},
pages = {887--915},
issn = {1350-7265},
mrclass = {60H15 (76M35)},
mrnumber = {1791907},
mrreviewer = {Nicholas Frangos},
doi = {10.2307/3318761},
url = {https://doi.org/10.2307/3318761}
}
@Article{ millet.sanz-sole:06:large,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {Large deviations for rough paths of the fractional
{B}rownian motion},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {42},
year = {2006},
number = {2},
pages = {245--271},
issn = {0246-0203},
mrclass = {60G15 (60F10)},
mrnumber = {2199801},
mrreviewer = {Mireille Capitaine},
doi = {10.1016/j.anihpb.2005.04.003},
url = {https://doi.org/10.1016/j.anihpb.2005.04.003}
}
@InCollection{ millet.sanz-sole:08:approximation,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {Approximation of rough paths of fractional {B}rownian
motion},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications {V}},
series = {Progr. Probab.},
volume = {59},
pages = {275--303},
publisher = {Birkh\"{a}user, Basel},
year = {2008},
mrclass = {60G15 (60H05 60H07)},
mrnumber = {2401962},
mrreviewer = {Laurent Decreusefond},
doi = {10.1007/978-3-7643-8458-6\_16},
url = {https://doi.org/10.1007/978-3-7643-8458-6_16}
}
@Article{ millet.sanz-sole:21:global,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {Global solutions to stochastic wave equations with
superlinear coefficients},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {139},
year = {2021},
pages = {175--211},
issn = {0304-4149},
mrclass = {60H15 (35R60 60G17 60G60)},
mrnumber = {4264843},
doi = {10.1016/j.spa.2021.05.002},
url = {https://doi.org/10.1016/j.spa.2021.05.002}
}
@Article{ millet.sanz-sole:92:theoreme,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {Un th\'{e}or\`eme de support pour une \'{e}quation aux
d\'{e}riv\'{e}es partielles stochastique hyperbolique},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {315},
year = {1992},
number = {5},
pages = {615--618},
issn = {0764-4442},
mrclass = {60H15},
mrnumber = {1181302}
}
@InCollection{ millet.sanz-sole:93:on,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {On the support of a {S}korohod anticipating stochastic
differential equation},
booktitle = {Barcelona {S}eminar on {S}tochastic {A}nalysis ({S}t.
{F}eliu de {G}u\'{i}xols, 1991)},
series = {Progr. Probab.},
volume = {32},
pages = {103--131},
publisher = {Birkh\"{a}user, Basel},
year = {1993},
mrclass = {60H10 (60H07)},
mrnumber = {1265046}
}
@InCollection{ millet.sanz-sole:94:simple,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {A simple proof of the support theorem for diffusion
processes},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXVIII}},
series = {Lecture Notes in Math.},
volume = {1583},
pages = {36--48},
publisher = {Springer, Berlin},
year = {1994},
mrclass = {60J60},
mrnumber = {1329099},
mrreviewer = {S. Ramasubramanian},
doi = {10.1007/BFb0073832},
url = {https://doi.org/10.1007/BFb0073832}
}
@Article{ millet.sanz-sole:94:support,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {The support of the solution to a hyperbolic {SPDE}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {98},
year = {1994},
number = {3},
pages = {361--387},
issn = {0178-8051},
mrclass = {60H15},
mrnumber = {1262971},
mrreviewer = {Mireille Chaleyat-Maurel},
doi = {10.1007/BF01192259},
url = {https://doi.org/10.1007/BF01192259}
}
@InCollection{ millet.sanz-sole:96:varadhan,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {Varadhan estimates for the density of the solution to a
parabolic stochastic partial differential equation},
booktitle = {Stochastic analysis and applications ({P}owys, 1995)},
pages = {330--342},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1996},
mrclass = {60H15 (35R60 60F10)},
mrnumber = {1453142},
mrreviewer = {R\'{e}mi L\'{e}andre}
}
@Article{ millet.sanz-sole:97:points,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {Points of positive density for the solution to a
hyperbolic {SPDE}},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {7},
year = {1997},
number = {3},
pages = {623--659},
issn = {0926-2601},
mrclass = {60H15 (35L10 35R60 60H07)},
mrnumber = {1473646},
mrreviewer = {Fred Espen Benth},
doi = {10.1023/A:1008695929633},
url = {https://doi.org/10.1023/A:1008695929633}
}
@Article{ millet.sanz-sole:99:stochastic,
author = {Millet, Annie and Sanz-Sol\'{e}, Marta},
title = {A stochastic wave equation in two space dimension:
smoothness of the law},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {27},
year = {1999},
number = {2},
pages = {803--844},
issn = {0091-1798},
mrclass = {60H15 (60H07)},
mrnumber = {1698971},
mrreviewer = {Robert C. Dalang},
doi = {10.1214/aop/1022677387},
url = {https://doi.org/10.1214/aop/1022677387}
}
@Article{ mimura:17:variational,
author = {Mimura, Yoshifumi},
title = {The variational formulation of the fully parabolic
{K}eller-{S}egel system with degenerate diffusion},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {263},
year = {2017},
number = {2},
pages = {1477--1521},
issn = {0022-0396},
mrclass = {35K51 (35B33 35K59 35K65 47J30)},
mrnumber = {3632226},
doi = {10.1016/j.jde.2017.03.020},
url = {https://doi.org/10.1016/j.jde.2017.03.020}
}
@Article{ min.xian.ea:88:global,
author = {Min, Qian and Xian, Shen Wen and Jinyan, Zhang},
title = {Global behavior in the dynamical equation of {J}-{J}
type},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {71},
year = {1988},
number = {2},
pages = {315--333},
issn = {0022-0396,1090-2732},
mrclass = {58F14 (34C25 58F12 58F13 94C05)},
mrnumber = {927005},
mrreviewer = {Andrew\ C.\ Fowler},
doi = {10.1016/0022-0396(88)90030-7},
url = {https://doi.org/10.1016/0022-0396(88)90030-7}
}
@Article{ minami:89:exponential,
author = {Minami, Nariyuki},
title = {Exponential and super-exponential localizations for
one-dimensional {S}chr\"{o}dinger operators with {L}\'{e}vy
noise potentials},
journal = {Tsukuba J. Math.},
fjournal = {Tsukuba Journal of Mathematics},
volume = {13},
year = {1989},
number = {1},
pages = {225--282},
issn = {0387-4982},
mrclass = {60H25 (82B44)},
mrnumber = {1003604},
mrreviewer = {Philippe Bougerol},
doi = {10.21099/tkbjm/1496161019},
url = {https://doi.org/10.21099/tkbjm/1496161019}
}
@Article{ mischaikow.nanda:13:morse,
author = {Mischaikow, Konstantin and Nanda, Vidit},
title = {Morse theory for filtrations and efficient computation of
persistent homology},
journal = {Discrete Comput. Geom.},
fjournal = {Discrete \& Computational Geometry. An International
Journal of Mathematics and Computer Science},
volume = {50},
year = {2013},
number = {2},
pages = {330--353},
issn = {0179-5376},
mrclass = {55N35 (57Rxx)},
mrnumber = {3090522},
mrreviewer = {Massimo Ferri},
doi = {10.1007/s00454-013-9529-6},
url = {https://doi.org/10.1007/s00454-013-9529-6}
}
@Article{ mishura.nualart:04:weak,
author = {Mishura, Yu. and Nualart, D.},
title = {Weak solutions for stochastic differential equations with
additive fractional noise},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {70},
year = {2004},
number = {4},
pages = {253--261},
issn = {0167-7152},
mrclass = {60H10 (60G18)},
mrnumber = {2125162},
mrreviewer = {Anna Amirdjanova},
doi = {10.1016/j.spl.2004.10.011},
url = {https://doi.org/10.1016/j.spl.2004.10.011}
}
@Book{ mishura.zili:18:stochastic,
author = {Mishura, Yuliya and Zili, Mounir},
title = {Stochastic analysis of mixed fractional {G}aussian
processes},
publisher = {ISTE Press, London; Elsevier Ltd, Oxford},
year = {2018},
pages = {xvi+194},
isbn = {978-1-78548-245-8},
mrclass = {60-01 (60G15 60G22)},
mrnumber = {3793191},
mrreviewer = {Frank\ Aurzada}
}
@Book{ mishura:08:stochastic,
author = {Mishura, Yuliya S.},
title = {Stochastic calculus for fractional {B}rownian motion and
related processes},
series = {Lecture Notes in Mathematics},
volume = {1929},
publisher = {Springer-Verlag, Berlin},
year = {2008},
pages = {xviii+393},
isbn = {978-3-540-75872-3},
mrclass = {60G15 (60-02 60H05 60H10 62M09 62M20 62P05 91B28)},
mrnumber = {2378138},
mrreviewer = {Ivan Nourdin},
doi = {10.1007/978-3-540-75873-0},
url = {https://doi.org/10.1007/978-3-540-75873-0}
}
@Article{ misiats.stanzhytskyi.ea:16:existence,
author = {Misiats, Oleksandr and Stanzhytskyi, Oleksandr and Yip,
Nung Kwan},
title = {Existence and uniqueness of invariant measures for
stochastic reaction-diffusion equations in unbounded
domains},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {29},
year = {2016},
number = {3},
pages = {996--1026},
issn = {0894-9840},
mrclass = {60H15 (35B40 35K57 35R60)},
mrnumber = {3540487},
doi = {10.1007/s10959-015-0606-z},
url = {https://doi.org/10.1007/s10959-015-0606-z}
}
@Article{ misiats.stanzhytskyi.ea:20:invariant,
author = {Misiats, Oleksandr and Stanzhytskyi, Oleksandr and Yip,
Nung Kwan},
title = {Invariant measures for stochastic reaction-diffusion
equations with weakly dissipative nonlinearities},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {92},
year = {2020},
number = {8},
pages = {1197--1222},
issn = {1744-2508},
mrclass = {60H15},
mrnumber = {4175844},
mrreviewer = {Markus Kunze},
doi = {10.1080/17442508.2019.1691212},
url = {https://doi.org/10.1080/17442508.2019.1691212}
}
@Article{ misiats.stanzhytskyi.ea:22:on,
author = {Misiats, Oleksandr and Stanzhytskyi, Oleksandr and
Topaloglu, Ihsan},
title = {On global existence and blowup of solutions of stochastic
{K}eller-{S}egel type equation},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {29},
year = {2022},
number = {1},
pages = {Paper No. 3, 29},
issn = {1021-9722},
mrclass = {35B44 (35K55 60H30 65M75)},
mrnumber = {4344836},
doi = {10.1007/s00030-021-00735-2},
url = {https://doi.org/10.1007/s00030-021-00735-2}
}
@Article{ mitoma:83:tightness,
author = {Mitoma, Itaru},
title = {Tightness of probabilities on {$C([0,1];{\cal S}^{\prime}
)$} and {$D([0,1];{\cal S}^{\prime} )$}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {11},
year = {1983},
number = {4},
pages = {989--999},
issn = {0091-1798},
mrclass = {60B11 (60B12)},
mrnumber = {714961},
mrreviewer = {Peter Z. Daffer},
url = {http://links.jstor.org/sici?sici=0091-1798(198311)11:4<989:TOPOA>2.0.CO;2-P&origin=MSN}
}
@Article{ mitoma:85:infty-dimensional,
author = {Mitoma, Itaru},
title = {An {$infty$}-dimensional inhomogeneous {L}angevin's
equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {61},
year = {1985},
number = {3},
pages = {342--359},
issn = {0022-1236},
mrclass = {60H15 (46F10 60G20)},
mrnumber = {820620},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1016/0022-1236(85)90027-8},
url = {https://doi.org/10.1016/0022-1236(85)90027-8}
}
@Article{ mitrea.mitrea.ea:08:poisson,
author = {Mitrea, Dorina and Mitrea, Marius and Monniaux, Sylvie},
title = {The {P}oisson problem for the exterior derivative operator
with {D}irichlet boundary condition in nonsmooth domains},
journal = {Commun. Pure Appl. Anal.},
fjournal = {Communications on Pure and Applied Analysis},
volume = {7},
year = {2008},
number = {6},
pages = {1295--1333},
issn = {1534-0392},
mrclass = {35F15 (35N10)},
mrnumber = {2425010},
mrreviewer = {Ingo F. Witt},
doi = {10.3934/cpaa.2008.7.1295},
url = {https://doi.org/10.3934/cpaa.2008.7.1295}
}
@Article{ mitrea.mitrea.ea:10:boundary,
author = {Mitrea, Dorina and Mitrea, Marius and Yan, Lixin},
title = {Boundary value problems for the {L}aplacian in convex and
semiconvex domains},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {258},
year = {2010},
number = {8},
pages = {2507--2585},
issn = {0022-1236},
mrclass = {42B35 (35J40 46E35 46N20)},
mrnumber = {2593333},
mrreviewer = {H. Triebel},
doi = {10.1016/j.jfa.2010.01.012},
url = {https://doi.org/10.1016/j.jfa.2010.01.012}
}
@InCollection{ mitrea.mitrea.ea:11:optimal,
author = {Mitrea, I. and Mitrea, M. and Wright, M.},
title = {Optimal estimates for the inhomogeneous problem for the
bi-{L}aplacian in three-dimensional {L}ipschitz domains},
note = {Problems in mathematical analysis. No. 51},
journal = {J. Math. Sci. (N.Y.)},
fjournal = {Journal of Mathematical Sciences (New York)},
volume = {172},
year = {2011},
number = {1},
pages = {24--134},
issn = {1072-3374},
mrclass = {35J40 (35B30)},
mrnumber = {2839870},
mrreviewer = {Giovanni Porru},
doi = {10.1007/s10958-010-0187-4},
url = {https://doi.org/10.1007/s10958-010-0187-4}
}
@Article{ mitrea.mitrea:03:on,
author = {Mitrea, Dorina and Mitrea, Irina},
title = {On the {B}esov regularity of conformal maps and layer
potentials on nonsmooth domains},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {201},
year = {2003},
number = {2},
pages = {380--429},
issn = {0022-1236},
mrclass = {35J25 (30C65 42B20 46E35)},
mrnumber = {1986694},
mrreviewer = {J. Horv\'{a}th},
doi = {10.1016/S0022-1236(03)00086-7},
url = {https://doi.org/10.1016/S0022-1236(03)00086-7}
}
@Article{ mitrea.taylor:00:potential,
author = {Mitrea, Marius and Taylor, Michael},
title = {Potential theory on {L}ipschitz domains in {R}iemannian
manifolds: {S}obolev-{B}esov space results and the
{P}oisson problem},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {176},
year = {2000},
number = {1},
pages = {1--79},
issn = {0022-1236},
mrclass = {58J32 (31C12 35J05 35J25)},
mrnumber = {1781631},
mrreviewer = {Vladimir Tulovsky},
doi = {10.1006/jfan.2000.3619},
url = {https://doi.org/10.1006/jfan.2000.3619}
}
@Article{ mitrea:01:dirichlet,
author = {Mitrea, Marius},
title = {Dirichlet integrals and {G}affney-{F}riedrichs
inequalities in convex domains},
journal = {Forum Math.},
fjournal = {Forum Mathematicum},
volume = {13},
year = {2001},
number = {4},
pages = {531--567},
issn = {0933-7741},
mrclass = {35B65 (35B45 35P15 46E35 46N20)},
mrnumber = {1830246},
mrreviewer = {Florin Iacob},
doi = {10.1515/form.2001.021},
url = {https://doi.org/10.1515/form.2001.021}
}
@Article{ mitrea:08:generalization,
author = {Mitrea, Dorina},
title = {A generalization of {D}ahlberg's theorem concerning the
regularity of harmonic {G}reen potentials},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {360},
year = {2008},
number = {7},
pages = {3771--3793},
issn = {0002-9947},
mrclass = {35J05 (31B10 31B15 34B27 42B20 46E35)},
mrnumber = {2386245},
mrreviewer = {Neil A. Watson},
doi = {10.1090/S0002-9947-08-04384-5},
url = {https://doi.org/10.1090/S0002-9947-08-04384-5}
}
@Article{ mitter.scoppola:08:global,
author = {Mitter, P. K. and Scoppola, B.},
title = {The global renormalization group trajectory in a critical
supersymmetric field theory on the lattice {$\Bbb Z^3$}},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {133},
year = {2008},
number = {5},
pages = {921--1011},
issn = {0022-4715},
mrclass = {81T17 (81T08 81T25 81T60 82B41)},
mrnumber = {2461190},
mrreviewer = {Guido Gentile},
doi = {10.1007/s10955-008-9626-8},
url = {https://doi.org/10.1007/s10955-008-9626-8}
}
@InCollection{ mitter.zeitouni:92:spde,
author = {Mitter, S. K. and Zeitouni, O.},
title = {An {SPDE} formulation for image segmentation},
booktitle = {Stochastic partial differential equations and applications
({T}rento, 1990)},
series = {Pitman Res. Notes Math. Ser.},
volume = {268},
pages = {257--267},
publisher = {Longman Sci. Tech., Harlow},
year = {1992},
isbn = {0-582-10051-8},
mrclass = {60G60 (49Q20 60H15 62M40)},
mrnumber = {1222703},
mrreviewer = {Mauro\ Piccioni}
}
@Article{ mitter:17:erratum,
author = {Mitter, P. K.},
title = {Erratum to: {O}n a finite range decomposition of the
resolvent of a fractional power of the {L}aplacian [
{MR}3493191]},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {166},
year = {2017},
number = {2},
pages = {453--455},
issn = {0022-4715},
mrclass = {82B41 (60G50 60G51 82B20 82B28)},
mrnumber = {3596856},
doi = {10.1007/s10955-016-1687-5},
url = {https://doi.org/10.1007/s10955-016-1687-5}
}
@Article{ miura.gardner.ea:68:korteweg-de,
author = {Miura, Robert M. and Gardner, Clifford S. and Kruskal,
Martin D.},
title = {Korteweg-de {V}ries equation and generalizations. {II}.
{E}xistence of conservation laws and constants of motion},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {9},
year = {1968},
pages = {1204--1209},
issn = {0022-2488},
mrclass = {35.36 (82.00)},
mrnumber = {252826},
mrreviewer = {Joel Smoller},
doi = {10.1063/1.1664701},
url = {https://doi.org/10.1063/1.1664701}
}
@Article{ miura.gardner.ea:68:korteweg-de*1,
author = {Miura, Robert M. and Gardner, Clifford S. and Kruskal,
Martin D.},
title = {Korteweg-de {V}ries equation and generalizations. {II}.
{E}xistence of conservation laws and constants of motion},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {9},
year = {1968},
pages = {1204--1209},
issn = {0022-2488},
mrclass = {35.36 (82.00)},
mrnumber = {252826},
mrreviewer = {Joel Smoller},
doi = {10.1063/1.1664701},
url = {https://doi.org/10.1063/1.1664701}
}
@Article{ miyachi:90:hardy-sobolev,
author = {Miyachi, Akihiko},
title = {Hardy-{S}obolev spaces and maximal functions},
journal = {J. Math. Soc. Japan},
fjournal = {Journal of the Mathematical Society of Japan},
volume = {42},
year = {1990},
number = {1},
pages = {73--90},
issn = {0025-5645},
mrclass = {46E35 (42B25)},
mrnumber = {1027541},
mrreviewer = {Bui Huy Qui},
doi = {10.2969/jmsj/04210073},
url = {https://doi.org/10.2969/jmsj/04210073}
}
@Article{ miyachi:90:hp,
author = {Miyachi, Akihiko},
title = {{$H^p$} spaces over open subsets of {${\bf R}^n$}},
journal = {Studia Math.},
fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia
Mathematica},
volume = {95},
year = {1990},
number = {3},
pages = {205--228},
issn = {0039-3223},
mrclass = {42B30 (46E10 46F20)},
mrnumber = {1060724},
mrreviewer = {M. Cotlar},
doi = {10.4064/sm-95-3-205-228},
url = {https://doi.org/10.4064/sm-95-3-205-228}
}
@InCollection{ miyachi:91:extension,
author = {Miyachi, Akihiko},
title = {Extension theorems for real variable {H}ardy and
{H}ardy-{S}obolev spaces},
booktitle = {Harmonic analysis ({S}endai, 1990)},
series = {ICM-90 Satell. Conf. Proc.},
pages = {170--182},
publisher = {Springer, Tokyo},
year = {1991},
mrclass = {46E15 (42B30)},
mrnumber = {1261438},
mrreviewer = {Stephen Buckley}
}
@Article{ miyatake.cohen.ea:17:geometric,
author = {Miyatake, Yuto and Cohen, David and Furihata, Daisuke and
Matsuo, Takayasu},
title = {Geometric numerical integrators for {H}unter-{S}axton-like
equations},
journal = {Jpn. J. Ind. Appl. Math.},
fjournal = {Japan Journal of Industrial and Applied Mathematics},
volume = {34},
year = {2017},
number = {2},
pages = {441--472},
issn = {0916-7005,1868-937X},
mrclass = {65M06 (35Q53 37K10 37M15)},
mrnumber = {3679394},
doi = {10.1007/s13160-017-0252-1},
url = {https://doi.org/10.1007/s13160-017-0252-1}
}
@Article{ miyazaki.morimoto.ea:09:online,
author = {Shuichi Miyazaki and Naoyuki Morimoto and Yasuo Okabe},
title = {The Online Graph Exploration Problem on Restricted
Graphs},
journal = {{IEICE} Transactions},
year = {2009},
volume = {92-D},
number = {9},
pages = {1620--1627}
}
@Article{ mizoguchi.souplet:14:nondegeneracy,
author = {Mizoguchi, Noriko and Souplet, Philippe},
title = {Nondegeneracy of blow-up points for the parabolic
{K}eller-{S}egel system},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {31},
year = {2014},
number = {4},
pages = {851--875},
issn = {0294-1449},
mrclass = {35K51 (35A01 35B44 35B65)},
mrnumber = {3249815},
mrreviewer = {Hongwei Chen},
doi = {10.1016/j.anihpc.2013.07.007},
url = {https://doi.org/10.1016/j.anihpc.2013.07.007}
}
@Article{ mizoguchi:16:type,
author = {Mizoguchi, Noriko},
title = {Type {II} blowup in a doubly parabolic {K}eller-{S}egel
system in two dimensions},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {271},
year = {2016},
number = {11},
pages = {3323--3347},
issn = {0022-1236},
mrclass = {35K52 (35B44 35K59)},
mrnumber = {3554708},
doi = {10.1016/j.jfa.2016.09.016},
url = {https://doi.org/10.1016/j.jfa.2016.09.016}
}
@Article{ mizoguchi:20:determination,
author = {Mizoguchi, Noriko},
title = {Determination of blowup type in the parabolic-parabolic
{K}eller-{S}egel system},
journal = {Math. Ann.},
fjournal = {Mathematische Annalen},
volume = {376},
year = {2020},
number = {1-2},
pages = {39--60},
issn = {0025-5831},
mrclass = {35K51 (35B40 35B44 35K59)},
mrnumber = {4055155},
mrreviewer = {Yifu Wang},
doi = {10.1007/s00208-018-1772-y},
url = {https://doi.org/10.1007/s00208-018-1772-y}
}
@Article{ mizukami.ono.ea:19:extensibility,
author = {Mizukami, Masaaki and Ono, Tatsuhiko and Yokota, Tomomi},
title = {Extensibility criterion ruling out gradient blow-up in a
quasilinear degenerate chemotaxis system with flux
limitation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {267},
year = {2019},
number = {9},
pages = {5115--5164},
issn = {0022-0396},
mrclass = {35M33 (35B40 35K59 35K65 35Q30 35Q92 92C17)},
mrnumber = {3991555},
mrreviewer = {Johannes Lankeit},
doi = {10.1016/j.jde.2019.05.026},
url = {https://doi.org/10.1016/j.jde.2019.05.026}
}
@Article{ mizukami.yokota:17:unified,
author = {Mizukami, Masaaki and Yokota, Tomomi},
title = {A unified method for boundedness in fully parabolic
chemotaxis systems with signal-dependent sensitivity},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {290},
year = {2017},
number = {16},
pages = {2648--2660},
issn = {0025-584X},
mrclass = {35K51 (35K59 35Q92 92C17)},
mrnumber = {3722501},
mrreviewer = {Sergey G. Pyatkov},
doi = {10.1002/mana.201600399},
url = {https://doi.org/10.1002/mana.201600399}
}
@Article{ mo:12:rank,
author = {Mo, M. Y.},
title = {Rank 1 real {W}ishart spiked model},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {65},
year = {2012},
number = {11},
pages = {1528--1638},
issn = {0010-3640},
mrclass = {60B20 (15B52)},
mrnumber = {2969495},
mrreviewer = {Antonio Auffinger},
doi = {10.1002/cpa.21415},
url = {https://doi.org/10.1002/cpa.21415}
}
@Article{ mocioalca.viens:05:skorohod,
author = {Mocioalca, Oana and Viens, Frederi},
title = {Skorohod integration and stochastic calculus beyond the
fractional {B}rownian scale},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {222},
year = {2005},
number = {2},
pages = {385--434},
issn = {0022-1236},
mrclass = {60H07 (60H05)},
mrnumber = {2132395},
mrreviewer = {Samy Tindel},
doi = {10.1016/j.jfa.2004.07.013},
url = {https://doi.org/10.1016/j.jfa.2004.07.013}
}
@InCollection{ moerbeke:11:random,
author = {van Moerbeke, Pierre},
title = {Random matrix theory and integrable systems},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {198--230},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60B20 (37K10)},
mrnumber = {2932630},
mrreviewer = {Mattia Cafasso}
}
@Article{ mogilner.edelstein-keshet.ea:03:mutual,
author = {Mogilner, A. and Edelstein-Keshet, L. and Bent, L. and
Spiros, A.},
title = {Mutual interactions, potentials, and individual distance
in a social aggregation},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {47},
year = {2003},
number = {4},
pages = {353--389},
issn = {0303-6812},
mrclass = {92D50 (37N25)},
mrnumber = {2024502},
doi = {10.1007/s00285-003-0209-7},
url = {https://doi.org/10.1007/s00285-003-0209-7}
}
@Article{ mogilner.edelstein-keshet:99:non-local,
author = {Mogilner, Alexander and Edelstein-Keshet, Leah},
title = {A non-local model for a swarm},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {38},
year = {1999},
number = {6},
pages = {534--570},
issn = {0303-6812},
mrclass = {92D50 (45K05)},
mrnumber = {1698215},
doi = {10.1007/s002850050158},
url = {https://doi.org/10.1007/s002850050158}
}
@Article{ mohammed.zhang.ea:08:stable,
author = {Mohammed, Salah-Eldin A. and Zhang, Tusheng and Zhao,
Huaizhong},
title = {The stable manifold theorem for semilinear stochastic
evolution equations and stochastic partial differential
equations},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {196},
year = {2008},
number = {917},
pages = {vi+105},
issn = {0065-9266},
isbn = {978-0-8218-4250-8},
mrclass = {60H10 (35R60 37L45 60H20 60H25)},
mrnumber = {2459571},
mrreviewer = {Mark A. McKibben},
doi = {10.1090/memo/0917},
url = {https://doi.org/10.1090/memo/0917}
}
@Article{ mohammed.zhang:06:large,
author = {Mohammed, Salah-Eldin A. and Zhang, Tusheng},
title = {Large deviations for stochastic systems with memory},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {6},
year = {2006},
number = {4},
pages = {881--893},
issn = {1531-3492},
mrclass = {60F10 (60J27)},
mrnumber = {2223913},
mrreviewer = {Yiwen Jiang},
doi = {10.3934/dcdsb.2006.6.881},
url = {https://doi.org/10.3934/dcdsb.2006.6.881}
}
@Article{ mohammed.zhang:07:substitution,
author = {Mohammed, Salah-Eldin A. and Zhang, Tusheng},
title = {The substitution theorem for semilinear stochastic partial
differential equations},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {253},
year = {2007},
number = {1},
pages = {122--157},
issn = {0022-1236},
mrclass = {60H15 (35R60 60H07)},
mrnumber = {2362419},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1016/j.jfa.2007.03.033},
url = {https://doi.org/10.1016/j.jfa.2007.03.033}
}
@Article{ mohammed.zhang:09:anticipating,
author = {Mohammed, Salah and Zhang, Tusheng},
title = {Anticipating stochastic differential systems with memory},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {9},
pages = {2773--2802},
issn = {0304-4149},
mrclass = {60H07 (34F05 34K50 60H10 60H20 60H25)},
mrnumber = {2554028},
mrreviewer = {Fariborz Asadian},
doi = {10.1016/j.spa.2009.02.005},
url = {https://doi.org/10.1016/j.spa.2009.02.005}
}
@Article{ mohammed.zhang:10:dynamics,
author = {Mohammed, Salah and Zhang, Tusheng},
title = {Dynamics of stochastic 2{D} {N}avier-{S}tokes equations},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {258},
year = {2010},
number = {10},
pages = {3543--3591},
issn = {0022-1236},
mrclass = {37L55 (35R60 37N10 60H15 76D05 76D06 76M35)},
mrnumber = {2601628},
mrreviewer = {Nader Masmoudi},
doi = {10.1016/j.jfa.2009.11.007},
url = {https://doi.org/10.1016/j.jfa.2009.11.007}
}
@Article{ mohammed.zhang:12:burgers,
author = {Mohammed, Salah and Zhang, Tusheng},
title = {The {B}urgers equation with affine linear noise: dynamics
and stability},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {4},
pages = {1887--1916},
issn = {0304-4149},
mrclass = {60H15 (35Q30 35R60)},
mrnumber = {2914776},
mrreviewer = {Wei Liu},
doi = {10.1016/j.spa.2011.12.002},
url = {https://doi.org/10.1016/j.spa.2011.12.002}
}
@Article{ mohammed.zhang:13:anticipating,
author = {Mohammed, Salah and Zhang, Tusheng},
title = {Anticipating stochastic {$2D$} {N}avier-{S}tokes
equations},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {264},
year = {2013},
number = {6},
pages = {1380--1408},
issn = {0022-1236},
mrclass = {60H15 (76D06)},
mrnumber = {3017268},
mrreviewer = {Azzouz Dermoune},
doi = {10.1016/j.jfa.2013.01.002},
url = {https://doi.org/10.1016/j.jfa.2013.01.002}
}
@Article{ mohammed.zhang:13:stochastic,
author = {Mohammed, Salah-Eldin A. and Zhang, Tusheng},
title = {Stochastic {B}urgers equation with random initial
velocities: a {M}alliavin calculus approach},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {45},
year = {2013},
number = {4},
pages = {2396--2420},
issn = {0036-1410},
mrclass = {60H15 (60H07)},
mrnumber = {3090154},
mrreviewer = {Lihu Xu},
doi = {10.1137/120871882},
url = {https://doi.org/10.1137/120871882}
}
@Article{ moinat.weber:20:space-time,
author = {Moinat, Augustin and Weber, Hendrik},
title = {Space-time localisation for the dynamic {$\Phi^4_3$}
model},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {73},
year = {2020},
number = {12},
pages = {2519--2555},
issn = {0010-3640},
mrclass = {60H17 (35L71 35R60 60H50 60L30 81Q80)},
mrnumber = {4164267},
doi = {10.1002/cpa.21925},
url = {https://doi.org/10.1002/cpa.21925}
}
@Article{ molchanov:91:ideas,
author = {Molchanov, Stanislav A.},
title = {Ideas in the theory of random media},
journal = {Acta Appl. Math.},
fjournal = {Acta Applicandae Mathematicae},
volume = {22},
year = {1991},
number = {2-3},
pages = {139--282},
issn = {0167-8019},
mrclass = {82B44 (47N55 73B35 76W05 82-02 82D30)},
mrnumber = {1111743},
mrreviewer = {Jean-Philippe Bouchaud},
doi = {10.1007/BF00580850},
url = {https://doi.org/10.1007/BF00580850}
}
@Article{ molinet:00:local,
author = {Molinet, Luc},
title = {Local dissipativity in {$L^2$} for the
{K}uramoto-{S}ivashinsky equation in spatial dimension 2},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {12},
year = {2000},
number = {3},
pages = {533--556},
issn = {1040-7294},
mrclass = {37L30 (35B35 35B40)},
mrnumber = {1800132},
mrreviewer = {Peter E. Kloeden},
doi = {10.1023/A:1026459527446},
url = {https://doi.org/10.1023/A:1026459527446}
}
@Book{ monin.yaglom:07:statistical,
author = {Monin, A. S. and Yaglom, A. M.},
title = {Statistical fluid mechanics: mechanics of turbulence.
{V}ol. {II}},
note = {Translated from the 1965 Russian original, Edited and with
a preface by John L. Lumley, English edition updated,
augmented and revised by the authors, Reprinted from the
1975 edition},
publisher = {Dover Publications, Inc., Mineola, NY},
year = {2007},
pages = {xii+874},
isbn = {978-0-486-45891-5; 0-486-45891-1},
mrclass = {76F55 (76F02 76F05 76M35)},
mrnumber = {2406668}
}
@Book{ monin.yaglom:07:statistical*1,
author = {Monin, A. S. and Yaglom, A. M.},
title = {Statistical fluid mechanics: mechanics of turbulence.
{V}ol. {I}},
note = {Translated from the 1965 Russian original, Edited and with
a preface by John L. Lumley, English edition updated,
augmented and revised by the authors, Reprinted from the
1971 edition},
publisher = {Dover Publications, Inc., Mineola, NY},
year = {2007},
pages = {xii+769},
isbn = {978-0-486-45883-0; 0-486-45883-0},
mrclass = {76F55 (76F02 76F05 76M35)},
mrnumber = {2406667}
}
@InCollection{ monrad.pitt:87:local,
author = {Monrad, Ditlev and Pitt, Loren D.},
title = {Local nondeterminism and {H}ausdorff dimension},
booktitle = {Seminar on stochastic processes, 1986 ({C}harlottesville,
{V}a., 1986)},
series = {Progr. Probab. Statist.},
volume = {13},
pages = {163--189},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1987},
isbn = {0-8176-3353-7},
mrclass = {60G17 (60J55 60J65)},
mrnumber = {902433},
mrreviewer = {Robert\ J.\ Adler}
}
@Article{ monrad.rootzen:95:small,
author = {Monrad, Ditlev and Rootz\'{e}n, Holger},
title = {Small values of {G}aussian processes and functional laws
of the iterated logarithm},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {101},
year = {1995},
number = {2},
pages = {173--192},
issn = {0178-8051},
mrclass = {60F15 (60G15 60G17 60G18)},
mrnumber = {1318191},
mrreviewer = {Karl Grill},
doi = {10.1007/BF01375823},
url = {https://doi.org/10.1007/BF01375823}
}
@Article{ montanari.reichman.ea:17:on,
author = {Montanari, Andrea and Reichman, Daniel and Zeitouni,
Ofer},
title = {On the limitation of spectral methods: from the {G}aussian
hidden clique problem to rank one perturbations of
{G}aussian tensors},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {63},
year = {2017},
number = {3},
pages = {1572--1579},
issn = {0018-9448,1557-9654},
mrclass = {94A13},
mrnumber = {3625981},
mrreviewer = {Steven\ Joel\ Miller},
doi = {10.1109/TIT.2016.2637959},
url = {https://doi.org/10.1109/TIT.2016.2637959}
}
@Article{ morale.capasso.ea:05:interacting,
author = {Morale, Daniela and Capasso, Vincenzo and Oelschl\"{a}ger,
Karl},
title = {An interacting particle system modelling aggregation
behavior: from individuals to populations},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {50},
year = {2005},
number = {1},
pages = {49--66},
issn = {0303-6812,1432-1416},
mrclass = {92D25 (60K35 92D50)},
mrnumber = {2117406},
doi = {10.1007/s00285-004-0279-1},
url = {https://doi.org/10.1007/s00285-004-0279-1}
}
@Article{ moreno-flores.quastel.ea:13:endpoint,
author = {Moreno Flores, Gregorio and Quastel, Jeremy and Remenik,
Daniel},
title = {Endpoint distribution of directed polymers in {$1+1$}
dimensions},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {317},
year = {2013},
number = {2},
pages = {363--380},
issn = {0010-3616},
mrclass = {60K35 (60B20 82C22 82C44 82D60)},
mrnumber = {3010188},
mrreviewer = {Dimitri Petritis},
doi = {10.1007/s00220-012-1583-z},
url = {https://doi.org/10.1007/s00220-012-1583-z}
}
@Article{ moreno-flores.seppalainen.ea:14:fluctuation,
author = {Moreno Flores, Gregorio R. and Sepp\"{a}l\"{a}inen, Timo
and Valk\'{o}, Benedek},
title = {Fluctuation exponents for directed polymers in the
intermediate disorder regime},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
pages = {no. 89, 28},
mrclass = {60K35 (60K37 82D60)},
mrnumber = {3263646},
mrreviewer = {Antonio Auffinger},
doi = {10.1214/EJP.v19-3307},
url = {https://doi.org/10.1214/EJP.v19-3307}
}
@Article{ moreno-flores:14:on,
author = {Moreno Flores, Gregorio R.},
title = {On the (strict) positivity of solutions of the stochastic
heat equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {4},
pages = {1635--1643},
issn = {0091-1798},
mrclass = {60H15 (60K35 60K37)},
mrnumber = {3262487},
mrreviewer = {Xinghua Zheng},
doi = {10.1214/14-AOP911},
url = {https://doi.org/10.1214/14-AOP911}
}
@Article{ moret.nualart:00:quadratic,
author = {Moret, S. and Nualart, D.},
title = {Quadratic covariation and {I}t\^{o}'s formula for smooth
nondegenerate martingales},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {13},
year = {2000},
number = {1},
pages = {193--224},
issn = {0894-9840},
mrclass = {60H07 (60G44)},
mrnumber = {1744986},
doi = {10.1023/A:1007791027791},
url = {https://doi.org/10.1023/A:1007791027791}
}
@Article{ moret.nualart:01:exponential,
author = {Moret, S\'{i}lvia and Nualart, David},
title = {Exponential inequalities for two-parameter martingales},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {54},
year = {2001},
number = {1},
pages = {13--19},
issn = {0167-7152},
mrclass = {60G44 (60E15 60G48)},
mrnumber = {1857866},
mrreviewer = {Pawel Hitczenko},
doi = {10.1016/S0167-7152(00)00245-5},
url = {https://doi.org/10.1016/S0167-7152(00)00245-5}
}
@Article{ moret.nualart:01:generalization,
author = {Moret, S. and Nualart, D.},
title = {Generalization of {I}t\^{o}'s formula for smooth
nondegenerate martingales},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {91},
year = {2001},
number = {1},
pages = {115--149},
issn = {0304-4149},
mrclass = {60H05 (60H07)},
mrnumber = {1807366},
mrreviewer = {Tu Sheng Zhang},
doi = {10.1016/S0304-4149(00)00058-2},
url = {https://doi.org/10.1016/S0304-4149(00)00058-2}
}
@Article{ moret.nualart:02:onsager-machlup,
author = {Moret, S\'{i}lvia and Nualart, David},
title = {Onsager-{M}achlup functional for the fractional {B}rownian
motion},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {124},
year = {2002},
number = {2},
pages = {227--260},
issn = {0178-8051},
mrclass = {60H10 (60G15 60G44)},
mrnumber = {1936018},
mrreviewer = {Luis G. Gorostiza},
doi = {10.1007/s004400200211},
url = {https://doi.org/10.1007/s004400200211}
}
@Article{ moriarty.oconnell:07:on,
author = {Moriarty, J. and O'Connell, N.},
title = {On the free energy of a directed polymer in a {B}rownian
environment},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {13},
year = {2007},
number = {2},
pages = {251--266},
issn = {1024-2953},
mrclass = {60K37 (60J65 60K40 82B44 82D60)},
mrnumber = {2343849},
mrreviewer = {Francis Comets}
}
@Article{ morien:99:holder,
author = {Morien, Pierre-Luc},
title = {The {H}\"{o}lder and the {B}esov regularity of the density
for the solution of a parabolic stochastic partial
differential equation},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {5},
year = {1999},
number = {2},
pages = {275--298},
issn = {1350-7265},
mrclass = {35R60 (35B65 35K99 60H15)},
mrnumber = {1681699},
mrreviewer = {Stanis\l aw W\polhk edrychowicz},
doi = {10.2307/3318436},
url = {https://doi.org/10.2307/3318436}
}
@PhDThesis{ morimoto:14:design-and-analysis-of-algorithms-for-graph-exploration-and-resource-allocation-problems-and-their-application-to-energy-management-kyoto-university,
author = {Morimoto, Naoyuki},
title = {{Design and Analysis of Algorithms for Graph Exploration
and Resource Allocation Problems and Their Application to
Energy Management (Kyoto University)}},
year = {2014},
howpublished = {\url{http://hdl.handle.net/2433/189687}},
publisher = {Kyoto University}
}
@InCollection{ morozov:11:unitary,
author = {Morozov, A.},
title = {Unitary integrals and related matrix models},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {353--375},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {81T50 (15B52)},
mrnumber = {2932637},
mrreviewer = {Brad Safnuk}
}
@Book{ morse.feshbach:53:methods,
author = {Morse, Philip M. and Feshbach, Herman},
title = {Methods of theoretical physics. 2 volumes},
publisher = {McGraw-Hill Book Co., Inc., New York-Toronto-London},
year = {1953},
pages = {xxii+pp. 1--997 + xl; xviii+pp. 999--1978},
mrclass = {79.0X},
mrnumber = {0059774},
mrreviewer = {M. Pinl}
}
@Book{ morse:73:variational,
author = {Morse, Marston},
title = {Variational analysis: critical extremals and {S}turmian
extensions},
series = {Pure and Applied Mathematics},
publisher = {Interscience Publishers [John Wiley \& Sons], New
York-London-Sydney},
year = {1973},
pages = {xi+260},
mrclass = {49-02 (58E15)},
mrnumber = {420368},
mrreviewer = {U. D'Ambrosio}
}
@Book{ morse:96:calculus,
author = {Morse, Marston},
title = {The calculus of variations in the large},
series = {American Mathematical Society Colloquium Publications},
volume = {18},
note = {Reprint of the 1932 original},
publisher = {American Mathematical Society, Providence, RI},
year = {1996},
pages = {xii+368},
isbn = {0-8218-1018-9},
mrclass = {58E30 (01A75 49-03 58-03)},
mrnumber = {1451874},
mrreviewer = {Caio J. C. Negreiros},
doi = {10.1090/coll/018},
url = {https://doi.org/10.1090/coll/018}
}
@Book{ morters.moser.ea:08:analysis,
title = {Analysis and stochastics of growth processes and interface
models},
author = {M\"{o}rters, Peter and Moser, Roger and Penrose, Mathew
and Schwetlick, Hartmut and Zimmer, Johannes},
publisher = {Oxford University Press, Oxford},
year = {2008},
pages = {x+336},
isbn = {978-0-19-923925-2},
mrclass = {82-06 (60-06)},
mrnumber = {2603216},
doi = {10.1093/acprof:oso/9780199239252.001.0001},
url = {https://doi.org/10.1093/acprof:oso/9780199239252.001.0001}
}
@Book{ morters.peres:10:brownian,
author = {M\"{o}rters, Peter and Peres, Yuval},
title = {Brownian motion},
series = {Cambridge Series in Statistical and Probabilistic
Mathematics},
volume = {30},
note = {With an appendix by Oded Schramm and Wendelin Werner},
publisher = {Cambridge University Press, Cambridge},
year = {2010},
pages = {xii+403},
isbn = {978-0-521-76018-8},
mrclass = {60J65 (28A78 60H05 60J45 60J55 60J67)},
mrnumber = {2604525},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1017/CBO9780511750489},
url = {https://doi.org/10.1017/CBO9780511750489}
}
@Article{ morzfeld.tu.ea:12:random,
author = {Morzfeld, Matthias and Tu, Xuemin and Atkins, Ethan and
Chorin, Alexandre J.},
title = {A random map implementation of implicit filters},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {231},
year = {2012},
number = {4},
pages = {2049--2066},
issn = {0021-9991,1090-2716},
mrclass = {62M20 (60J60 65C05)},
mrnumber = {2876600},
doi = {10.1016/j.jcp.2011.11.022},
url = {https://doi.org/10.1016/j.jcp.2011.11.022}
}
@Article{ moser.stelzer:13:functional,
author = {Moser, Martin and Stelzer, Robert},
title = {Functional regular variation of {L}\'{e}vy-driven
multivariate mixed moving average processes},
journal = {Extremes},
fjournal = {Extremes. Statistical Theory and Applications in Science,
Engineering and Economics},
volume = {16},
year = {2013},
number = {3},
pages = {351--382},
issn = {1386-1999},
mrclass = {60G51 (60G70)},
mrnumber = {3101877},
mrreviewer = {Jean-Luc Prigent},
doi = {10.1007/s10687-012-0165-y},
url = {https://doi.org/10.1007/s10687-012-0165-y}
}
@Article{ motoo:58:proof,
author = {Motoo, Minoru},
title = {Proof of the law of iterated logarithm through diffusion
equation},
journal = {Ann. Inst. Statist. Math.},
fjournal = {Annals of the Institute of Statistical Mathematics},
volume = {10},
year = {1958},
pages = {21--28},
issn = {0020-3157},
mrclass = {60.00},
mrnumber = {97866},
mrreviewer = {J. Wolfowitz},
doi = {10.1007/BF02883984},
url = {https://doi.org/10.1007/BF02883984}
}
@InCollection{ mountford.cranston:00:efficient,
author = {Mountford, T. S. and Cranston, M.},
title = {Efficient coupling on the circle},
booktitle = {Game theory, optimal stopping, probability and
statistics},
series = {IMS Lecture Notes Monogr. Ser.},
volume = {35},
pages = {191--203},
publisher = {Inst. Math. Statist., Beachwood, OH},
year = {2000},
isbn = {0-940600-48-X},
mrclass = {60J27},
mrnumber = {1833860},
mrreviewer = {Feng-Yu\ Wang},
doi = {10.1214/lnms/1215089753},
url = {https://doi.org/10.1214/lnms/1215089753}
}
@Article{ mountford.nualart:04:level,
author = {Mountford, Thomas S. and Nualart, Eulalia},
title = {Level sets of multiparameter {B}rownian motions},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {9},
year = {2004},
pages = {no. 20, 594--614},
issn = {1083-6489},
mrclass = {60G60 (60G15)},
mrnumber = {2080611},
mrreviewer = {Randall James Swift},
doi = {10.1214/EJP.v9-169},
url = {https://doi.org/10.1214/EJP.v9-169}
}
@Article{ mountford.pimentel.ea:06:on,
author = {Mountford, Thomas and Pimentel, Leandro P. R. and Valle,
Glauco},
title = {On the speed of the one-dimensional excited random walk in
the transient regime},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {2},
year = {2006},
pages = {279--296},
issn = {1980-0436},
mrclass = {60J10 (60K37)},
mrnumber = {2285733},
mrreviewer = {Serguei\ Popov}
}
@Article{ mountford.pimentel.ea:14:central,
author = {Mountford, Thomas and Pimentel, Leandro P. R. and Valle,
Glauco},
title = {Central limit theorem for the self-repelling random walk
with directed edges},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {11},
year = {2014},
number = {1},
pages = {503--517},
issn = {1980-0436},
mrclass = {60K35 (60F05)},
mrnumber = {3274643},
mrreviewer = {Andrew\ R.\ Wade}
}
@InCollection{ mourrat.weber.ea:17:construction,
author = {Mourrat, Jean-Christophe and Weber, Hendrik and Xu,
Weijun},
title = {Construction of {$\Phi^4_3$} diagrams for pedestrians},
booktitle = {From particle systems to partial differential equations},
series = {Springer Proc. Math. Stat.},
volume = {209},
pages = {1--46},
publisher = {Springer, Cham},
year = {2017},
mrclass = {35R60 (35K15 35K67 35K91 60H15 81T18)},
mrnumber = {3746744},
doi = {10.1007/978-3-319-66839-0\_1},
url = {https://doi.org/10.1007/978-3-319-66839-0_1}
}
@Article{ mourrat.weber:17:convergence,
author = {Mourrat, Jean-Christophe and Weber, Hendrik},
title = {Convergence of the two-dimensional dynamic {I}sing-{K}ac
model to {$\Phi^4_2$}},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {70},
year = {2017},
number = {4},
pages = {717--812},
issn = {0010-3640},
mrclass = {82C20 (35R60 60H15 60K35 82C22)},
mrnumber = {3628883},
mrreviewer = {Arvind Ayyer},
doi = {10.1002/cpa.21655},
url = {https://doi.org/10.1002/cpa.21655}
}
@Article{ mourrat.weber:17:dynamic,
author = {Mourrat, Jean-Christophe and Weber, Hendrik},
title = {The dynamic {$\Phi^4_3$} model comes down from infinity},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {356},
year = {2017},
number = {3},
pages = {673--753},
issn = {0010-3616},
mrclass = {60H15 (35K15 35K91 35R60)},
mrnumber = {3719541},
doi = {10.1007/s00220-017-2997-4},
url = {https://doi.org/10.1007/s00220-017-2997-4}
}
@Article{ mourrat.weber:17:global,
author = {Mourrat, Jean-Christophe and Weber, Hendrik},
title = {Global well-posedness of the dynamic {$\Phi^4$} model in
the plane},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {4},
pages = {2398--2476},
issn = {0091-1798},
mrclass = {81T27 (35B30 35K58 35R60 60H15 81T40)},
mrnumber = {3693966},
mrreviewer = {Dimitri Petritis},
doi = {10.1214/16-AOP1116},
url = {https://doi.org/10.1214/16-AOP1116}
}
@Article{ mu.wang.ea:13:global,
author = {Mu, Chunlai and Wang, Liangchen and Zheng, Pan and Zhang,
Qingna},
title = {Global existence and boundedness of classical solutions to
a parabolic-parabolic chemotaxis system},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {14},
year = {2013},
number = {3},
pages = {1634--1642},
issn = {1468-1218},
mrclass = {35K51 (35A01 35A09)},
mrnumber = {3004526},
doi = {10.1016/j.nonrwa.2012.10.022},
url = {https://doi.org/10.1016/j.nonrwa.2012.10.022}
}
@Article{ mueller.lee:09:on,
author = {Mueller, Carl and Lee, Kijung},
title = {On the discrete heat equation taking values on a tree},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {137},
year = {2009},
number = {4},
pages = {1467--1478},
issn = {0002-9939},
mrclass = {60H15 (35K05 35R60)},
mrnumber = {2465673},
mrreviewer = {Krystyna Twardowska},
doi = {10.1090/S0002-9939-08-09748-7},
url = {https://doi.org/10.1090/S0002-9939-08-09748-7}
}
@Article{ mueller.mytnik.ea:06:heat,
author = {Mueller, Carl and Mytnik, Leonid and Stan, Aurel},
title = {The heat equation with time-independent multiplicative
stable {L}\'{e}vy noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {116},
year = {2006},
number = {1},
pages = {70--100},
issn = {0304-4149},
mrclass = {60H15 (35K05 35R60)},
mrnumber = {2186840},
mrreviewer = {Jie Xiong},
doi = {10.1016/j.spa.2005.08.001},
url = {https://doi.org/10.1016/j.spa.2005.08.001}
}
@Article{ mueller.mytnik.ea:08:small,
author = {Mueller, C. and Mytnik, L. and Quastel, J.},
title = {Small noise asymptotics of traveling waves},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {14},
year = {2008},
number = {3},
pages = {333--342},
issn = {1024-2953},
mrclass = {60H15 (35K55 35Q51 35R60)},
mrnumber = {2453698}
}
@Article{ mueller.mytnik.ea:11:effect,
author = {Mueller, Carl and Mytnik, Leonid and Quastel, Jeremy},
title = {Effect of noise on front propagation in reaction-diffusion
equations of {KPP} type},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {184},
year = {2011},
number = {2},
pages = {405--453},
issn = {0020-9910},
mrclass = {60H15 (35C07 35K57 35K91 35R60)},
mrnumber = {2793860},
doi = {10.1007/s00222-010-0292-5},
url = {https://doi.org/10.1007/s00222-010-0292-5}
}
@Article{ mueller.mytnik.ea:14:nonuniqueness,
author = {Mueller, Carl and Mytnik, Leonid and Perkins, Edwin},
title = {Nonuniqueness for a parabolic {SPDE} with
{$\frac{3}{4}-\epsilon$}-{H}\"{o}lder diffusion coefficients},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {5},
pages = {2032--2112},
issn = {0091-1798},
mrclass = {60H15 (35A02 35K15 35K91 35R60)},
mrnumber = {3262498},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1214/13-AOP870},
url = {https://doi.org/10.1214/13-AOP870}
}
@Article{ mueller.mytnik.ea:17:on,
author = {Mueller, Carl and Mytnik, Leonid and Perkins, Edwin},
title = {On the boundary of the support of super-{B}rownian
notion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {6A},
pages = {3481--3534},
issn = {0091-1798},
mrclass = {60H15 (35K15 35R60 60J68)},
mrnumber = {3729608},
mrreviewer = {Huili Liu},
doi = {10.1214/16-AOP1141},
url = {https://doi.org/10.1214/16-AOP1141}
}
@Article{ mueller.mytnik.ea:21:speed,
author = {Mueller, Carl and Mytnik, Leonid and Ryzhik, Lenya},
title = {The speed of a random front for stochastic
reaction-diffusion equations with strong noise},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {384},
year = {2021},
number = {2},
pages = {699--732},
issn = {0010-3616},
mrclass = {35K57 (60H15 92D10)},
mrnumber = {4259374},
doi = {10.1007/s00220-021-04084-0},
url = {https://doi.org/10.1007/s00220-021-04084-0}
}
@Article{ mueller.neuman.ea:20:improved,
author = {Mueller, Carl and Neuman, Eyal and Salins, Michael and
Truong, Giang},
title = {An improved uniqueness result for a system of {SDE}
related to the stochastic wave equation},
journal = {J. Stoch. Anal.},
fjournal = {Journal of Stochastic Analysis. JOSA},
volume = {1},
year = {2020},
number = {2},
pages = {Art. 1, 7},
mrclass = {60H10 (60J60)},
mrnumber = {4143954},
mrreviewer = {Andrey Sarantsev},
doi = {10.31390/josa.1.2.01},
url = {https://doi.org/10.31390/josa.1.2.01}
}
@Article{ mueller.neuman:20:scaling,
title = {Scaling Properties of a Moving Polymer},
author = {Carl Mueller and Eyal Neuman},
year = {2020},
month = {June},
journal = {Preprint arXiv:2006.07189},
url = {http://arXiv.org/abs/2006.07189}
}
@Article{ mueller.neuman:22:scaling,
author = {Mueller, Carl and Neuman, Eyal},
title = {Scaling properties of a moving polymer},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {32},
year = {2022},
number = {6},
pages = {4251--4278},
issn = {1050-5164,2168-8737},
mrclass = {60H15 (82D60)},
mrnumber = {4522351},
mrreviewer = {John\ Masson\ Noble},
doi = {10.1214/22-aap1785},
url = {https://doi.org/10.1214/22-aap1785}
}
@Article{ mueller.neuman:22:self-repelling,
author = {Mueller, Carl and Neuman, Eyal},
title = {Self-repelling elastic manifolds with low dimensional
range},
journal = {J. Stoch. Anal.},
fjournal = {Journal of Stochastic Analysis. JOSA},
volume = {3},
year = {2022},
number = {2},
pages = {Art. 1, 16},
mrclass = {60G60 (60G15 82D60)},
mrnumber = {4452305}
}
@Article{ mueller.neuman:23:radius,
title = {The radius of a self-repelling star polymer},
author = {Carl Mueller and Eyal Neuman},
year = {2023},
month = {June},
journal = {Preprint arXiv:2306.01537},
url = {http://arXiv.org/abs/2306.01537}
}
@Article{ mueller.nualart:08:regularity,
author = {Mueller, Carl and Nualart, David},
title = {Regularity of the density for the stochastic heat
equation},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
pages = {no. 74, 2248--2258},
mrclass = {60H15 (60H07 60H40)},
mrnumber = {2469610},
mrreviewer = {Catherine Donati-Martin},
doi = {10.1214/EJP.v13-589},
url = {https://doi.org/10.1214/EJP.v13-589}
}
@InCollection{ mueller.pardoux:99:critical,
author = {Mueller, Carl and Pardoux, Etienne},
title = {The critical exponent for a stochastic {PDE} to hit zero},
booktitle = {Stochastic analysis, control, optimization and
applications},
series = {Systems Control Found. Appl.},
pages = {325--338},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1999},
mrclass = {60H15 (35R60)},
mrnumber = {1702968},
mrreviewer = {David Nualart}
}
@Article{ mueller.perkins:00:extinction,
author = {Mueller, C. and Perkins, E.},
title = {Extinction for two parabolic stochastic {PDE}'s on the
lattice},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {36},
year = {2000},
number = {3},
pages = {301--338},
issn = {0246-0203},
mrclass = {60H15 (60G57 60J65)},
mrnumber = {1770621},
mrreviewer = {Achim Klenke},
doi = {10.1016/S0246-0203(00)00128-X},
url = {https://doi.org/10.1016/S0246-0203(00)00128-X}
}
@Article{ mueller.perkins:92:compact,
author = {Mueller, Carl and Perkins, Edwin A.},
title = {The compact support property for solutions to the heat
equation with noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {93},
year = {1992},
number = {3},
pages = {325--358},
issn = {0178-8051},
mrclass = {60H15},
mrnumber = {1180704},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1007/BF01193055},
url = {https://doi.org/10.1007/BF01193055}
}
@Article{ mueller.rudin:91:proper,
author = {Mueller, Carl and Rudin, Walter},
title = {Proper holomorphic self-maps of plane regions},
journal = {Complex Variables Theory Appl.},
fjournal = {Complex Variables. Theory and Application. An
International Journal},
volume = {17},
year = {1991},
number = {1-2},
pages = {113--121},
issn = {0278-1077},
mrclass = {30C25 (30F99)},
mrnumber = {1123810},
mrreviewer = {Eric Bedford},
doi = {10.1080/17476939108814502},
url = {https://doi.org/10.1080/17476939108814502}
}
@Article{ mueller.sowers:93:blowup,
author = {Mueller, Carl and Sowers, Richard},
title = {Blowup for the heat equation with a noise term},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {97},
year = {1993},
number = {3},
pages = {287--320},
issn = {0178-8051},
mrclass = {60H15 (35K05 35R60)},
mrnumber = {1245247},
mrreviewer = {Krystyna Twardowska},
doi = {10.1007/BF01195068},
url = {https://doi.org/10.1007/BF01195068}
}
@Article{ mueller.sowers:95:random,
author = {Mueller, Carl and Sowers, Richard B.},
title = {Random travelling waves for the {KPP} equation with
noise},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {128},
year = {1995},
number = {2},
pages = {439--498},
issn = {0022-1236},
mrclass = {60H15 (35Q53 35R60)},
mrnumber = {1319963},
doi = {10.1006/jfan.1995.1038},
url = {https://doi.org/10.1006/jfan.1995.1038}
}
@InCollection{ mueller.sowers:95:travelling,
author = {Mueller, C. and Sowers, R.},
title = {Travelling waves for the {KPP} equation with noise},
booktitle = {Stochastic analysis ({I}thaca, {NY}, 1993)},
series = {Proc. Sympos. Pure Math.},
volume = {57},
pages = {603--609},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1995},
mrclass = {60H15 (35Q53 35R60)},
mrnumber = {1335501},
doi = {10.1090/pspum/057/1335501},
url = {https://doi.org/10.1090/pspum/057/1335501}
}
@Article{ mueller.stan:05:heisenberg,
author = {Mueller, C. and Stan, A.},
title = {A {H}eisenberg inequality for stochastic integrals},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {18},
year = {2005},
number = {2},
pages = {291--315},
issn = {0894-9840},
mrclass = {60H05 (60G44 81S25)},
mrnumber = {2137044},
mrreviewer = {Wei An Zheng},
doi = {10.1007/s10959-004-2605-3},
url = {https://doi.org/10.1007/s10959-004-2605-3}
}
@Article{ mueller.starr:13:length,
author = {Mueller, Carl and Starr, Shannon},
title = {The length of the longest increasing subsequence of a
random {M}allows permutation},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {26},
year = {2013},
number = {2},
pages = {514--540},
issn = {0894-9840},
mrclass = {60B15 (60B10 82B05)},
mrnumber = {3055815},
doi = {10.1007/s10959-011-0364-5},
url = {https://doi.org/10.1007/s10959-011-0364-5}
}
@Article{ mueller.tribe:02:hitting,
author = {Mueller, C. and Tribe, R.},
title = {Hitting properties of a random string},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {7},
year = {2002},
pages = {no. 10, 29},
issn = {1083-6489},
mrclass = {60H15},
mrnumber = {1902843},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1214/EJP.v7-109},
url = {https://doi.org/10.1214/EJP.v7-109}
}
@InCollection{ mueller.tribe:02:measure-valued,
author = {Mueller, C. and Tribe, R.},
title = {A measure-valued process related to the parabolic
{A}nderson model},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications, {III} ({A}scona, 1999)},
series = {Progr. Probab.},
volume = {52},
pages = {219--227},
publisher = {Birkh\"{a}user, Basel},
year = {2002},
mrclass = {60H15 (35R60 82B44)},
mrnumber = {1958819}
}
@Article{ mueller.tribe:04:singular,
author = {Mueller, Carl and Tribe, Roger},
title = {A singular parabolic {A}nderson model},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {9},
year = {2004},
pages = {no. 5, 98--144},
issn = {1083-6489},
mrclass = {60H15 (35R60 82B44)},
mrnumber = {2041830},
mrreviewer = {Pedro Mar\'{i}n Rubio},
doi = {10.1214/EJP.v9-189},
url = {https://doi.org/10.1214/EJP.v9-189}
}
@Article{ mueller.tribe:11:phase,
author = {Mueller, Carl and Tribe, Roger},
title = {A phase diagram for a stochastic reaction diffusion
system},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {149},
year = {2011},
number = {3-4},
pages = {561--637},
issn = {0178-8051},
mrclass = {60H15 (35K40 35K57 35R60 60J68 60K35)},
mrnumber = {2776626},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1007/s00440-010-0265-z},
url = {https://doi.org/10.1007/s00440-010-0265-z}
}
@Article{ mueller.tribe:94:phase,
author = {Mueller, Carl and Tribe, Roger},
title = {A phase transition for a stochastic {PDE} related to the
contact process},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {100},
year = {1994},
number = {2},
pages = {131--156},
issn = {0178-8051},
mrclass = {60H15 (35K55 35R60 60K35)},
mrnumber = {1296425},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1007/BF01199262},
url = {https://doi.org/10.1007/BF01199262}
}
@InCollection{ mueller.tribe:94:stochastic,
author = {Mueller, Carl and Tribe, Roger},
title = {A stochastic {PDE} arising as the limit of a long-range
contact process, and its phase transition},
booktitle = {Measure-valued processes, stochastic partial differential
equations, and interacting systems ({M}ontreal, {PQ},
1992)},
series = {CRM Proc. Lecture Notes},
volume = {5},
pages = {175--178},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1994},
mrclass = {60H15 (35R60 60K35)},
mrnumber = {1278292},
doi = {10.1090/crmp/005/14},
url = {https://doi.org/10.1090/crmp/005/14}
}
@Article{ mueller.tribe:97:finite,
author = {Mueller, C. and Tribe, R.},
title = {Finite width for a random stationary interface},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {2},
year = {1997},
pages = {no. 7, 27},
issn = {1083-6489},
mrclass = {60H15 (35R60)},
mrnumber = {1485116},
mrreviewer = {Richard B. Sowers},
doi = {10.1214/EJP.v2-21},
url = {https://doi.org/10.1214/EJP.v2-21}
}
@Article{ mueller.truong:20:uniqueness,
author = {Mueller, Carl and Truong, Giang},
title = {Uniqueness of a three-dimensional stochastic differential
equation},
journal = {Involve},
fjournal = {Involve. A Journal of Mathematics},
volume = {13},
year = {2020},
number = {3},
pages = {433--444},
issn = {1944-4176},
mrclass = {60H10 (34F05)},
mrnumber = {4129392},
mrreviewer = {Liang Wang},
doi = {10.2140/involve.2020.13.433},
url = {https://doi.org/10.2140/involve.2020.13.433}
}
@Article{ mueller.weissler:82:hypercontractivity,
author = {Mueller, Carl E. and Weissler, Fred B.},
title = {Hypercontractivity for the heat semigroup for
ultraspherical polynomials and on the {$n$}-sphere},
journal = {J. Functional Analysis},
fjournal = {Journal of Functional Analysis},
volume = {48},
year = {1982},
number = {2},
pages = {252--283},
issn = {0022-1236},
mrclass = {47D05 (46E35 81C10)},
mrnumber = {674060},
mrreviewer = {H. Triebel},
doi = {10.1016/0022-1236(82)90069-6},
url = {https://doi.org/10.1016/0022-1236(82)90069-6}
}
@Article{ mueller.weissler:85:single,
author = {Mueller, Carl E. and Weissler, Fred B.},
title = {Single point blow-up for a general semilinear heat
equation},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {34},
year = {1985},
number = {4},
pages = {881--913},
issn = {0022-2518},
mrclass = {35B40 (35K55)},
mrnumber = {808833},
mrreviewer = {J. A. Goldstein},
doi = {10.1512/iumj.1985.34.34049},
url = {https://doi.org/10.1512/iumj.1985.34.34049}
}
@Article{ mueller.wu:09:connection,
author = {Mueller, Carl and Wu, Zhixin},
title = {A connection between the stochastic heat equation and
fractional {B}rownian motion, and a simple proof of a
result of {T}alagrand},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {14},
year = {2009},
pages = {55--65},
mrclass = {35R60 (60H15)},
mrnumber = {2481666},
doi = {10.1214/ECP.v14-1403},
url = {https://doi.org/10.1214/ECP.v14-1403}
}
@Article{ mueller.wu:12:erratum,
author = {Mueller, Carl and Wu, Zhixin},
title = {Erratum: {A} connection between the stochastic heat
equation and fractional {B}rownian motion and a simple
proof of a result of {T}alagrand [MR2481666]},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {17},
year = {2012},
pages = {no. 8, 10},
mrclass = {35R60 (60G22 60H15)},
mrnumber = {2878743},
doi = {10.1214/ECP.v17-1774},
url = {https://doi.org/10.1214/ECP.v17-1774}
}
@Article{ mueller:00:critical,
author = {Mueller, Carl},
title = {The critical parameter for the heat equation with a noise
term to blow up in finite time},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {4},
pages = {1735--1746},
issn = {0091-1798},
mrclass = {60H15 (35B40 35K05 35R60 60H40)},
mrnumber = {1813841},
mrreviewer = {Richard B. Sowers},
doi = {10.1214/aop/1019160505},
url = {https://doi.org/10.1214/aop/1019160505}
}
@InCollection{ mueller:09:some,
author = {Mueller, Carl},
title = {Some tools and results for parabolic stochastic partial
differential equations},
booktitle = {A minicourse on stochastic partial differential
equations},
series = {Lecture Notes in Math.},
volume = {1962},
pages = {111--144},
publisher = {Springer, Berlin},
year = {2009},
mrclass = {60H15 (60F10)},
mrnumber = {2508775},
doi = {10.1007/978-3-540-85994-9\_4},
url = {https://doi.org/10.1007/978-3-540-85994-9_4}
}
@InCollection{ mueller:15:stochastic,
author = {Mueller, Carl},
title = {Stochastic {PDE} from the point of view of particle
systems and duality},
booktitle = {Stochastic analysis: a series of lectures},
series = {Progr. Probab.},
volume = {68},
pages = {271--295},
publisher = {Birkh\"{a}user/Springer, Basel},
year = {2015},
mrclass = {60H15 (35K05 35R60)},
mrnumber = {3558129},
doi = {10.1007/978-3-0348-0909-2\_10},
url = {https://doi.org/10.1007/978-3-0348-0909-2_10}
}
@Book{ mueller:79:extension,
author = {Mueller, Carl Eric},
title = {A{N} {EXTENSION} {OF} {STRASSEN}'{S} {LAW} {AND} {SOME}
{PROBABILISTIC} {RESULTS} {IN} {COMPLEX} {ANALYSIS}},
note = {Thesis (Ph.D.)--University of California, Berkeley},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1979},
pages = {63},
mrclass = {Thesis},
mrnumber = {2628703},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:8000452}
}
@Article{ mueller:81:unification,
author = {Mueller, Carl},
title = {A unification of {S}trassen's law and {L}\'{e}vy's modulus
of continuity},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {56},
year = {1981},
number = {2},
pages = {163--179},
issn = {0044-3719},
mrclass = {60J65 (60F15 60G17)},
mrnumber = {618270},
mrreviewer = {Anthony G. Pakes},
doi = {10.1007/BF00535739},
url = {https://doi.org/10.1007/BF00535739}
}
@Article{ mueller:82:characterization,
author = {Mueller, Carl},
title = {A characterization of {BMO} and {BMO{$_{\rho }$}}},
journal = {Studia Math.},
fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia
Mathematica},
volume = {72},
year = {1982},
number = {1},
pages = {47--57},
issn = {0039-3223},
mrclass = {42B30 (30D55 46E15 60G46)},
mrnumber = {665891},
doi = {10.4064/sm-72-1-47-57},
url = {https://doi.org/10.4064/sm-72-1-47-57}
}
@InCollection{ mueller:82:exit,
author = {Mueller, Carl},
title = {Exit times of diffusions},
booktitle = {Martingale theory in harmonic analysis and {B}anach spaces
({C}leveland, {O}hio, 1981)},
series = {Lecture Notes in Math.},
volume = {939},
pages = {98--105},
publisher = {Springer, Berlin-New York},
year = {1982},
mrclass = {60J60 (60G44 60H10)},
mrnumber = {668540},
mrreviewer = {Mou-Hsiung Chang}
}
@Article{ mueller:83:strassens,
author = {Mueller, Carl},
title = {Strassen's law for local time},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {63},
year = {1983},
number = {1},
pages = {29--41},
issn = {0044-3719},
mrclass = {60J65 (60E15)},
mrnumber = {699783},
mrreviewer = {F. B. Knight},
doi = {10.1007/BF00534174},
url = {https://doi.org/10.1007/BF00534174}
}
@InCollection{ mueller:88:counterexample,
author = {Mueller, Carl},
title = {A counterexample for {B}rownian motion on manifolds},
booktitle = {Geometry of random motion ({I}thaca, {N}.{Y}., 1987)},
series = {Contemp. Math.},
volume = {73},
pages = {217--221},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1988},
mrclass = {58G32 (60D05)},
mrnumber = {954641},
mrreviewer = {J. C. Taylor},
doi = {10.1090/conm/073/954641},
url = {https://doi.org/10.1090/conm/073/954641}
}
@Article{ mueller:89:probability,
author = {Mueller, Carl},
title = {Probability and the equivalence of generalized {$H^p$}
spaces},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {38},
year = {1989},
number = {4},
pages = {999--1025},
issn = {0022-2518},
mrclass = {60G46 (42B30)},
mrnumber = {1029686},
mrreviewer = {J. A. Chao},
doi = {10.1512/iumj.1989.38.38046},
url = {https://doi.org/10.1512/iumj.1989.38.38046}
}
@Article{ mueller:91:connection,
author = {Mueller, Carl},
title = {A connection between {S}trassen's and
{D}onsker-{V}aradhan's laws of the iterated logarithm},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {87},
year = {1991},
number = {3},
pages = {365--388},
issn = {0178-8051},
mrclass = {60J65 (60F15 60J55)},
mrnumber = {1084336},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1007/BF01312216},
url = {https://doi.org/10.1007/BF01312216}
}
@Article{ mueller:91:limit,
author = {Mueller, Carl},
title = {Limit results for two stochastic partial differential
equations},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {37},
year = {1991},
number = {3},
pages = {175--199},
issn = {1045-1129},
mrclass = {60H15 (35B40 35R60 60F10)},
mrnumber = {1148347},
mrreviewer = {Wlodzimierz Smolenski},
doi = {10.1080/17442509108833734},
url = {https://doi.org/10.1080/17442509108833734}
}
@Article{ mueller:91:long,
author = {Mueller, Carl},
title = {Long time existence for the heat equation with a noise
term},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {90},
year = {1991},
number = {4},
pages = {505--517},
issn = {0178-8051},
mrclass = {60H15 (35R60)},
mrnumber = {1135557},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1007/BF01192141},
url = {https://doi.org/10.1007/BF01192141}
}
@Article{ mueller:91:on,
author = {Mueller, Carl},
title = {On the support of solutions to the heat equation with
noise},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {37},
year = {1991},
number = {4},
pages = {225--245},
issn = {1045-1129},
mrclass = {60H15 (35R60)},
mrnumber = {1149348},
mrreviewer = {A. Badrikian},
doi = {10.1080/17442509108833738},
url = {https://doi.org/10.1080/17442509108833738}
}
@InCollection{ mueller:92:on,
author = {Mueller, Carl},
title = {On the polynomial hull of two balls},
booktitle = {The {M}adison {S}ymposium on {C}omplex {A}nalysis
({M}adison, {WI}, 1991)},
series = {Contemp. Math.},
volume = {137},
pages = {343--350},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1992},
mrclass = {32E20},
mrnumber = {1190995},
mrreviewer = {P. J. de Paepe},
doi = {10.1090/conm/137/1190995},
url = {https://doi.org/10.1090/conm/137/1190995}
}
@Article{ mueller:93:coupling,
author = {Mueller, Carl},
title = {Coupling and invariant measures for the heat equation with
noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {21},
year = {1993},
number = {4},
pages = {2189--2199},
issn = {0091-1798},
mrclass = {60H15 (35R60)},
mrnumber = {1245306},
url = {https://doi.org/10.1214/aop/1176989016}
}
@Article{ mueller:93:modulus,
author = {Mueller, C.},
title = {A modulus for the {$3$}-dimensional wave equation with
noise: dealing with a singular kernel},
journal = {Canad. J. Math.},
fjournal = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
volume = {45},
year = {1993},
number = {6},
pages = {1263--1275},
issn = {0008-414X},
mrclass = {60H15 (35L05 35R60)},
mrnumber = {1247546},
mrreviewer = {Ralf Manthey},
doi = {10.4153/CJM-1993-071-7},
url = {https://doi.org/10.4153/CJM-1993-071-7}
}
@Article{ mueller:96:singular,
author = {Mueller, Carl},
title = {Singular initial conditions for the heat equation with a
noise term},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {1},
pages = {377--398},
issn = {0091-1798},
mrclass = {35K20 (35R60 60H15)},
mrnumber = {1387640},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1214/aop/1042644721},
url = {https://doi.org/10.1214/aop/1042644721}
}
@Article{ mueller:97:long,
author = {Mueller, Carl},
title = {Long time existence for the wave equation with a noise
term},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {25},
year = {1997},
number = {1},
pages = {133--151},
issn = {0091-1798},
mrclass = {60H15 (35L05 35R60)},
mrnumber = {1428503},
mrreviewer = {Fred Espen Benth},
doi = {10.1214/aop/1024404282},
url = {https://doi.org/10.1214/aop/1024404282}
}
@Article{ mueller:98:heat,
author = {Mueller, Carl},
title = {The heat equation with {L}\'{e}vy noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {74},
year = {1998},
number = {1},
pages = {67--82},
issn = {0304-4149},
mrclass = {60H15 (35K05 35R60)},
mrnumber = {1624088},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1016/S0304-4149(97)00120-8},
url = {https://doi.org/10.1016/S0304-4149(97)00120-8}
}
@Article{ mueller:98:long-time,
author = {Mueller, Carl},
title = {Long-time existence for signed solutions of the heat
equation with a noise term},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {110},
year = {1998},
number = {1},
pages = {51--68},
issn = {0178-8051},
mrclass = {60H15 (35K55 35R60 60H20)},
mrnumber = {1602036},
mrreviewer = {Richard B. Sowers},
doi = {10.1007/s004400050144},
url = {https://doi.org/10.1007/s004400050144}
}
@Article{ muhandiramge.boland.ea:09:convergent,
author = {Muhandiramge, Ranga and Boland, Natashia and Wang, Song},
year = {2009},
month = {01},
pages = {54--77},
title = {Convergent Network Approximation for the Continuous
{Euclidean} Length Constrained Minimum Cost Path Problem},
volume = {20},
journal = {SIAM Journal on Optimization},
doi = {10.1137/070695356}
}
@Article{ muhandiramge.boland.ea:09:convergent*1,
title = {Convergent network approximation for the continuous
{Euclidean} length constrained minimum cost path problem},
author = {Muhandiramge, Ranga and Boland, Natashia and Wang, Song},
journal = {SIAM Journal on Optimization},
volume = {20},
number = {1},
pages = {54--77},
year = {2009},
publisher = {SIAM}
}
@Article{ muhandiramge.boland:09:simultaneous,
title = {Simultaneous solution of {Lagrangean} dual problems
interleaved with preprocessing for the weight constrained
shortest path problem},
author = {Muhandiramge, Ranga and Boland, Natashia},
journal = {Networks: An International Journal},
volume = {53},
number = {4},
pages = {358--381},
year = {2009},
publisher = {Wiley Online Library}
}
@Book{ muirhead:82:aspects,
author = {Muirhead, Robb J.},
title = {Aspects of multivariate statistical theory},
series = {Wiley Series in Probability and Mathematical Statistics},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1982},
pages = {xix+673},
isbn = {0-471-09442-0},
mrclass = {62Hxx},
mrnumber = {652932},
mrreviewer = {Nariaki Sugiura}
}
@Article{ mukherjee.shamov.ea:16:weak,
author = {Mukherjee, Chiranjib and Shamov, Alexander and Zeitouni,
Ofer},
title = {Weak and strong disorder for the stochastic heat equation
and continuous directed polymers in {$d\geq 3$}},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {21},
year = {2016},
pages = {Paper No. 61, 12},
mrclass = {60K35 (60G20 60H15 82D60)},
mrnumber = {3548773},
mrreviewer = {Mathew Joseph},
doi = {10.1214/16-ECP18},
url = {https://doi.org/10.1214/16-ECP18}
}
@Article{ mukherjee.varadhan:16:brownian,
author = {Mukherjee, Chiranjib and Varadhan, S. R. S.},
title = {Brownian occupation measures, compactness and large
deviations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {6},
pages = {3934--3964},
issn = {0091-1798},
mrclass = {60J65 (60F10 60J55)},
mrnumber = {3572328},
mrreviewer = {Julien Poisat},
doi = {10.1214/15-AOP1065},
url = {https://doi.org/10.1214/15-AOP1065}
}
@InCollection{ muller.sieber:11:quantum,
author = {M\"{u}ller, Sebastian and Sieber, Martin},
title = {Quantum chaos and quantum graphs},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {683--702},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {81Q50 (60B20)},
mrnumber = {2932653},
mrreviewer = {C\'{e}sar R. de Oliveira}
}
@Article{ muller.tribe:95:stochastic,
author = {M\"{u}ller, C. and Tribe, R.},
title = {Stochastic p.d.e.'s arising from the long range contact
and long range voter processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {102},
year = {1995},
number = {4},
pages = {519--545},
issn = {0178-8051},
mrclass = {60K35 (60H15)},
mrnumber = {1346264},
mrreviewer = {Ralf Manthey},
doi = {10.1007/BF01198848},
url = {https://doi.org/10.1007/BF01198848}
}
@Article{ munch.turner.ea:15:probabilistic,
author = {Munch, Elizabeth and Turner, Katharine and Bendich, Paul
and Mukherjee, Sayan and Mattingly, Jonathan and Harer,
John},
title = {Probabilistic {F}r\'echet means for time varying
persistence diagrams},
journal = {Electron. J. Stat.},
fjournal = {Electronic Journal of Statistics},
volume = {9},
year = {2015},
number = {1},
pages = {1173--1204},
issn = {1935-7524},
mrclass = {55N35 (60B05 62H11)},
mrnumber = {3354335},
mrreviewer = {Peter\ Bubenik},
doi = {10.1214/15-EJS1030},
url = {https://doi.org/10.1214/15-EJS1030}
}
@Article{ muratov.vanden-eijnden.ea:05:self-induced,
author = {Muratov, Cyrill B. and Vanden-Eijnden, Eric and E,
Weinan},
title = {Self-induced stochastic resonance in excitable systems},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {210},
year = {2005},
number = {3-4},
pages = {227--240},
issn = {0167-2789},
mrclass = {34F05 (34E13 37C99 37H10)},
mrnumber = {2170618},
mrreviewer = {Barbara Gentz},
doi = {10.1016/j.physd.2005.07.014},
url = {https://doi.org/10.1016/j.physd.2005.07.014}
}
@Book{ murray:03:mathematical,
author = {Murray, J. D.},
title = {Mathematical biology. {II}},
series = {Interdisciplinary Applied Mathematics},
volume = {18},
edition = {Third},
note = {Spatial models and biomedical applications},
publisher = {Springer-Verlag, New York},
year = {2003},
pages = {xxvi+811},
isbn = {0-387-95228-4},
mrclass = {92-02 (92B05 92C05 92D30)},
mrnumber = {1952568},
mrreviewer = {Trachette L. Jackson}
}
@Book{ murray:93:mathematical,
author = {Murray, J. D.},
title = {Mathematical biology},
series = {Biomathematics},
volume = {19},
edition = {Second},
publisher = {Springer-Verlag, Berlin},
year = {1993},
pages = {xiv+767},
isbn = {3-540-57204-X},
mrclass = {92B05 (92-01 92C05 92D30)},
mrnumber = {1239892},
mrreviewer = {Gabriela Schranz-Kirlinger},
doi = {10.1007/b98869},
url = {https://doi.org/10.1007/b98869}
}
@Book{ muskhelishvili:92:singular,
author = {Muskhelishvili, N. I.},
title = {Singular integral equations},
note = {Boundary problems of function theory and their application
to mathematical physics, Translated from the second (1946)
Russian edition and with a preface by J. R. M. Radok,
Corrected reprint of the 1953 English translation},
publisher = {Dover Publications, Inc., New York},
year = {1992},
pages = {447},
isbn = {0-486-66893-2},
mrclass = {45-02 (30E25 45Exx 47G10 47N20)},
mrnumber = {1215485}
}
@Book{ myerson:13:game,
title = {Game Theory},
author = {Myerson, Roger B},
year = {2013},
publisher = {Harvard university press}
}
@Article{ myllys.maunuksela.ea:01:kinetic,
title = {Kinetic roughening in slow combustion of paper},
author = {Myllys, M. and Maunuksela, J. and Alava, M. and
Ala-Nissila, T. and Merikoski, J. and Timonen, J.},
journal = {Phys. Rev. E},
volume = {64},
issue = {3},
pages = {036101},
numpages = {12},
year = {2001},
month = {Aug},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.64.036101},
url = {https://link.aps.org/doi/10.1103/PhysRevE.64.036101}
}
@Article{ mytnik.adler:95:bisexual,
author = {Mytnik, Leonid and Adler, Robert J.},
title = {Bisexual branching diffusions},
journal = {Adv. in Appl. Probab.},
fjournal = {Advances in Applied Probability},
volume = {27},
year = {1995},
number = {4},
pages = {980--1018},
issn = {0001-8678},
mrclass = {60G57 (60G20)},
mrnumber = {1358904},
mrreviewer = {Sylvie Roelly},
doi = {10.2307/1427932},
url = {https://doi.org/10.2307/1427932}
}
@Article{ mytnik.neuman:12:sample,
author = {Mytnik, Leonid and Neuman, Eyal},
title = {Sample path properties of {V}olterra processes},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {6},
year = {2012},
number = {3},
pages = {359--377},
mrclass = {60G17 (60G22 60H05)},
mrnumber = {2988697},
mrreviewer = {Dongsheng Wu}
}
@Article{ mytnik.neuman:15:pathwise,
author = {Mytnik, Leonid and Neuman, Eyal},
title = {Pathwise uniqueness for the stochastic heat equation with
{H}\"{o}lder continuous drift and noise coefficients},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {9},
pages = {3355--3372},
issn = {0304-4149},
mrclass = {60H15 (35R60)},
mrnumber = {3357612},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1016/j.spa.2015.04.009},
url = {https://doi.org/10.1016/j.spa.2015.04.009}
}
@Article{ mytnik.perkins.ea:06:on,
author = {Mytnik, Leonid and Perkins, Edwin and Sturm, Anja},
title = {On pathwise uniqueness for stochastic heat equations with
non-{L}ipschitz coefficients},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {5},
pages = {1910--1959},
issn = {0091-1798},
mrclass = {60H15 (60F05 60J80 60K37)},
mrnumber = {2271487},
mrreviewer = {Utkir Rozikov},
doi = {10.1214/009117906000000331},
url = {https://doi.org/10.1214/009117906000000331}
}
@Article{ mytnik.perkins:03:regularity,
author = {Mytnik, Leonid and Perkins, Edwin},
title = {Regularity and irregularity of {$(1+\beta)$}-stable
super-{B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {3},
pages = {1413--1440},
issn = {0091-1798},
mrclass = {60G57 (60G17 60H15)},
mrnumber = {1989438},
mrreviewer = {Ilya S. Molchanov},
doi = {10.1214/aop/1055425785},
url = {https://doi.org/10.1214/aop/1055425785}
}
@Article{ mytnik.perkins:11:pathwise,
author = {Mytnik, Leonid and Perkins, Edwin},
title = {Pathwise uniqueness for stochastic heat equations with
{H}\"{o}lder continuous coefficients: the white noise case},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {149},
year = {2011},
number = {1-2},
pages = {1--96},
issn = {0178-8051},
mrclass = {60H15 (60G60 60H10 60J80 60K35)},
mrnumber = {2773025},
mrreviewer = {Robert C. Dalang},
doi = {10.1007/s00440-009-0241-7},
url = {https://doi.org/10.1007/s00440-009-0241-7}
}
@Article{ mytnik.perkins:19:dimension,
author = {Mytnik, Leonid and Perkins, Edwin},
title = {The dimension of the boundary of super-{B}rownian motion},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {174},
year = {2019},
number = {3-4},
pages = {821--885},
issn = {0178-8051},
mrclass = {60H15 (28A78 60G57 60J55 60J80)},
mrnumber = {3980306},
doi = {10.1007/s00440-018-0866-5},
url = {https://doi.org/10.1007/s00440-018-0866-5}
}
@Article{ mytnik.roquejoffre.ea:22:fisher-kpp,
author = {Mytnik, Leonid and Roquejoffre, Jean-Michel and Ryzhik,
Lenya},
title = {Fisher-{KPP} equation with small data and the extremal
process of branching {B}rownian motion},
journal = {Adv. Math.},
fjournal = {Advances in Mathematics},
volume = {396},
year = {2022},
pages = {Paper No. 108106, 58},
issn = {0001-8708},
mrclass = {60J80 (35R60 60F05)},
mrnumber = {4370468},
doi = {10.1016/j.aim.2021.108106},
url = {https://doi.org/10.1016/j.aim.2021.108106}
}
@Article{ mytnik.shlomov:21:general,
author = {Mytnik, Leonid and Shlomov, Segev},
title = {General contact process with rapid stirring},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {18},
year = {2021},
number = {1},
pages = {17--33},
mrclass = {60K35 (82C22)},
mrnumber = {4198867},
mrreviewer = {Hui Huang},
doi = {10.30757/alea.v18-02},
url = {https://doi.org/10.30757/alea.v18-02}
}
@Article{ mytnik.villa:07:self-intersection,
author = {Mytnik, L. and Villa, J.},
title = {Self-intersection local time of
{$(\alpha,d,\beta)$}-superprocess},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {43},
year = {2007},
number = {4},
pages = {481--507},
issn = {0246-0203},
mrclass = {60K35 (60G57 60J80)},
mrnumber = {2329513},
mrreviewer = {Jie Xiong},
doi = {10.1016/j.anihpb.2006.07.005},
url = {https://doi.org/10.1016/j.anihpb.2006.07.005}
}
@Article{ mytnik.wachtel:15:multifractal,
author = {Mytnik, Leonid and Wachtel, Vitali},
title = {Multifractal analysis of superprocesses with stable
branching in dimension one},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {43},
year = {2015},
number = {5},
pages = {2763--2809},
issn = {0091-1798},
mrclass = {60J80 (28A80 60G57)},
mrnumber = {3395474},
mrreviewer = {Achim Klenke},
doi = {10.1214/14-AOP951},
url = {https://doi.org/10.1214/14-AOP951}
}
@Book{ mytnik.wachtel:16:regularity,
author = {Mytnik, Leonid and Wachtel, Vitali},
title = {Regularity and irregularity of superprocesses with
{$(1+\beta )$}-stable branching mechanism},
series = {SpringerBriefs in Probability and Mathematical
Statistics},
publisher = {Springer, Cham},
year = {2016},
pages = {viii+77},
isbn = {978-3-319-50084-3; 978-3-319-50085-0},
mrclass = {60J68 (28A80 60G52 60G57)},
mrnumber = {3616202},
mrreviewer = {Ingemar Kaj},
doi = {10.1007/978-3-319-50085-0},
url = {https://doi.org/10.1007/978-3-319-50085-0}
}
@Article{ mytnik.xiang:04:tanaka,
author = {Mytnik, L. and Xiang, K.-N.},
title = {Tanaka formulae for {$(\alpha,d,\beta)$}-superprocesses},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {17},
year = {2004},
number = {2},
pages = {483--502},
issn = {0894-9840},
mrclass = {60J80 (60J55)},
mrnumber = {2053713},
mrreviewer = {Catherine Donati-Martin},
doi = {10.1023/B:JOTP.0000020704.68569.25},
url = {https://doi.org/10.1023/B:JOTP.0000020704.68569.25}
}
@Article{ mytnik.xiong.ea:11:snake,
author = {Mytnik, Leonid and Xiong, Jie and Zeitouni, Ofer},
title = {Snake representation of a superprocess in random
environment},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {8},
year = {2011},
pages = {335--378},
mrclass = {60K37 (60G60 60J68 60J80)},
mrnumber = {2876014},
mrreviewer = {Kathryn E. Temple}
}
@Article{ mytnik.xiong:07:local,
author = {Mytnik, Leonid and Xiong, Jie},
title = {Local extinction for superprocesses in random
environments},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {12},
year = {2007},
pages = {no. 50, 1349--1378},
issn = {1083-6489},
mrclass = {60G57 (60F17 60H15 60J80)},
mrnumber = {2354161},
mrreviewer = {Luis G. Gorostiza},
doi = {10.1214/EJP.v12-457},
url = {https://doi.org/10.1214/EJP.v12-457}
}
@Article{ mytnik.xiong:15:well-posedness,
author = {Mytnik, Leonid and Xiong, Jie},
title = {Well-posedness of the martingale problem for superprocess
with interaction},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {59},
year = {2015},
number = {2},
pages = {485--497},
issn = {0019-2082},
mrclass = {60H15 (60J68)},
mrnumber = {3499521},
url = {http://projecteuclid.org/euclid.ijm/1462450710}
}
@Article{ mytnik:02:stochastic,
author = {Mytnik, Leonid},
title = {Stochastic partial differential equation driven by stable
noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {123},
year = {2002},
number = {2},
pages = {157--201},
issn = {0178-8051},
mrclass = {60H15 (35R60 60G51 60G52)},
mrnumber = {1900321},
mrreviewer = {David Applebaum},
doi = {10.1007/s004400100180},
url = {https://doi.org/10.1007/s004400100180}
}
@Article{ mytnik:96:superprocesses,
author = {Mytnik, Leonid},
title = {Superprocesses in random environments},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {24},
year = {1996},
number = {4},
pages = {1953--1978},
issn = {0091-1798},
mrclass = {60G57 (60F17 60J80)},
mrnumber = {1415235},
mrreviewer = {Sylvie M\'{e}l\'{e}ard},
doi = {10.1214/aop/1041903212},
url = {https://doi.org/10.1214/aop/1041903212}
}
@Article{ mytnik:98:collision,
author = {Mytnik, Leonid},
title = {Collision measure and collision local time for
{$(\alpha,d,\beta)$} superprocesses},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {11},
year = {1998},
number = {3},
pages = {733--763},
issn = {0894-9840},
mrclass = {60J55 (60G30 60G57 60H15)},
mrnumber = {1633395},
mrreviewer = {Srikanth K. Iyer},
doi = {10.1023/A:1022606715641},
url = {https://doi.org/10.1023/A:1022606715641}
}
@Article{ mytnik:98:uniqueness,
author = {Mytnik, Leonid},
title = {Uniqueness for a mutually catalytic branching model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {112},
year = {1998},
number = {2},
pages = {245--253},
issn = {0178-8051},
mrclass = {60H15 (60J80)},
mrnumber = {1653845},
mrreviewer = {Sylvie M\'{e}l\'{e}ard},
doi = {10.1007/s004400050189},
url = {https://doi.org/10.1007/s004400050189}
}
@Article{ mytnik:98:weak,
author = {Mytnik, Leonid},
title = {Weak uniqueness for the heat equation with noise},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {26},
year = {1998},
number = {3},
pages = {968--984},
issn = {0091-1798},
mrclass = {60H15 (35K05 35R60)},
mrnumber = {1634410},
mrreviewer = {Fred Espen Benth},
doi = {10.1214/aop/1022855740},
url = {https://doi.org/10.1214/aop/1022855740}
}
@Article{ mytnik:99:uniqueness,
author = {Mytnik, Leonid},
title = {Uniqueness for a competing species model},
journal = {Canad. J. Math.},
fjournal = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
volume = {51},
year = {1999},
number = {2},
pages = {372--448},
issn = {0008-414X},
mrclass = {60H30 (35Q80 35R60 60H15)},
mrnumber = {1697149},
mrreviewer = {Krystyna Twardowska},
doi = {10.4153/CJM-1999-019-x},
url = {https://doi.org/10.4153/CJM-1999-019-x}
}
@Article{ nadal.derrida.ea:82:directed,
author = {Nadal, J. P. and Derrida, B. and Vannimenus, J.},
title = {Directed lattice animals in {$2$}\ dimensions: numerical
and exact results},
journal = {J. Physique},
fjournal = {Le Journal de Physique},
volume = {43},
year = {1982},
number = {11},
pages = {1561--1574},
issn = {0302-0738},
mrclass = {82A51 (05B35 82A67)},
mrnumber = {684783},
doi = {10.1051/jphys:0198200430110156100},
url = {https://doi.org/10.1051/jphys:0198200430110156100}
}
@Article{ naddaf.spencer:97:on,
author = {Naddaf, Ali and Spencer, Thomas},
title = {On homogenization and scaling limit of some gradient
perturbations of a massless free field},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {183},
year = {1997},
number = {1},
pages = {55--84},
issn = {0010-3616},
mrclass = {81T08 (81T27)},
mrnumber = {1461951},
mrreviewer = {A. L. Rebenko},
doi = {10.1007/BF02509796},
url = {https://doi.org/10.1007/BF02509796}
}
@Article{ nadin:09:traveling,
author = {Nadin, Gr\'{e}goire},
title = {Traveling fronts in space-time periodic media},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {92},
year = {2009},
number = {3},
pages = {232--262},
issn = {0021-7824},
mrclass = {35K58 (35C07 35K57)},
mrnumber = {2555178},
mrreviewer = {Yuzo Hosono},
doi = {10.1016/j.matpur.2009.04.002},
url = {https://doi.org/10.1016/j.matpur.2009.04.002}
}
@Article{ nagai.senba.ea:97:application,
author = {Nagai, Toshitaka and Senba, Takasi and Yoshida, Kiyoshi},
title = {Application of the {T}rudinger-{M}oser inequality to a
parabolic system of chemotaxis},
journal = {Funkcial. Ekvac.},
fjournal = {Funkcialaj Ekvacioj. Serio Internacia},
volume = {40},
year = {1997},
number = {3},
pages = {411--433},
issn = {0532-8721},
mrclass = {92D50 (35K55 35Q80 92C99)},
mrnumber = {1610709},
mrreviewer = {V. N. Razzhevaikin},
url = {http://www.math.kobe-u.ac.jp/~fe/xml/mr1610709.xml}
}
@InProceedings{ nagai.senba:97:behavior,
author = {Nagai, Toshitaka and Senba, Takasi},
title = {Behavior of radially symmetric solutions of a system
related to chemotaxis},
booktitle = {Proceedings of the {S}econd {W}orld {C}ongress of
{N}onlinear {A}nalysts, {P}art 6 ({A}thens, 1996)},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {30},
year = {1997},
number = {6},
pages = {3837--3842},
issn = {0362-546X,1873-5215},
mrclass = {35Q80 (80A30)},
mrnumber = {1602939},
mrreviewer = {Yuzo\ Hosono},
doi = {10.1016/S0362-546X(96)00256-8},
url = {https://doi.org/10.1016/S0362-546X(96)00256-8}
}
@Article{ nagai.senba:98:global,
author = {Nagai, Toshitaka and Senba, Takasi},
title = {Global existence and blow-up of radial solutions to a
parabolic-elliptic system of chemotaxis},
journal = {Adv. Math. Sci. Appl.},
fjournal = {Advances in Mathematical Sciences and Applications},
volume = {8},
year = {1998},
number = {1},
pages = {145--156},
issn = {1343-4373},
mrclass = {35Q80 (35B05 35B60 35M10 92D50)},
mrnumber = {1623326},
mrreviewer = {Andreas M\"{u}ller-Rettkowski}
}
@Article{ nagai.syukuinn.ea:03:decay,
author = {Nagai, Toshitaka and Syukuinn, Rai and Umesako, Masayuki},
title = {Decay properties and asymptotic profiles of bounded
solutions to a parabolic system of chemotaxis in {${\bf
R}^n$}},
journal = {Funkcial. Ekvac.},
fjournal = {Funkcialaj Ekvacioj. Serio Internacia},
volume = {46},
year = {2003},
number = {3},
pages = {383--407},
issn = {0532-8721},
mrclass = {35K45 (35B40 35K55 92D25)},
mrnumber = {2035446},
doi = {10.1619/fesi.46.383},
url = {https://doi.org/10.1619/fesi.46.383}
}
@Article{ nagai:01:blowup,
author = {Nagai, Toshitaka},
title = {Blowup of nonradial solutions to parabolic-elliptic
systems modeling chemotaxis in two-dimensional domains},
journal = {J. Inequal. Appl.},
fjournal = {Journal of Inequalities and Applications},
volume = {6},
year = {2001},
number = {1},
pages = {37--55},
issn = {1025-5834},
mrclass = {35B40 (35M20 92C17)},
mrnumber = {1887324},
mrreviewer = {Julio D. Rossi},
doi = {10.1155/S1025583401000042},
url = {https://doi.org/10.1155/S1025583401000042}
}
@InProceedings{ nagai:01:global,
author = {Nagai, Toshitaka},
title = {Global existence and blowup of solutions to a chemotaxis
system},
booktitle = {Proceedings of the {T}hird {W}orld {C}ongress of
{N}onlinear {A}nalysts, {P}art 2 ({C}atania, 2000)},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {47},
year = {2001},
number = {2},
pages = {777--787},
issn = {0362-546X},
mrclass = {35K57 (35B40 35K50 92C17)},
mrnumber = {1970697},
mrreviewer = {Piotr Biler},
doi = {10.1016/S0362-546X(01)00222-X},
url = {https://doi.org/10.1016/S0362-546X(01)00222-X}
}
@Article{ nagai:11:global,
author = {Nagai, Toshitaka},
title = {Global existence and decay estimates of solutions to a
parabolic-elliptic system of drift-diffusion type in {$\Bbb
R^2$}},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {24},
year = {2011},
number = {1-2},
pages = {29--68},
issn = {0893-4983},
mrclass = {35K59 (35A01 35B40 35K15)},
mrnumber = {2759351},
mrreviewer = {Micah Webster}
}
@Article{ nagai:95:blow-up,
author = {Nagai, Toshitaka},
title = {Blow-up of radially symmetric solutions to a chemotaxis
system},
journal = {Adv. Math. Sci. Appl.},
fjournal = {Advances in Mathematical Sciences and Applications},
volume = {5},
year = {1995},
number = {2},
pages = {581--601},
issn = {1343-4373},
mrclass = {35Q80 (35B05 35K57 92C15)},
mrnumber = {1361006},
mrreviewer = {Yoram Schiffmann}
}
@InProceedings{ nagai:97:global,
author = {Nagai, Toshitaka},
title = {Global existence of solutions to a parabolic system for
chemotaxis in two space dimensions},
booktitle = {Proceedings of the {S}econd {W}orld {C}ongress of
{N}onlinear {A}nalysts, {P}art 8 ({A}thens, 1996)},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {30},
year = {1997},
number = {8},
pages = {5381--5388},
issn = {0362-546X},
mrclass = {92C17 (35K40 35Q80)},
mrnumber = {1726042},
mrreviewer = {Gershon Wolansky},
doi = {10.1016/S0362-546X(97)00395-7},
url = {https://doi.org/10.1016/S0362-546X(97)00395-7}
}
@Article{ nagao.sasamoto:04:asymmetric,
author = {Nagao, Taro and Sasamoto, Tomohiro},
title = {Asymmetric simple exclusion process and modified random
matrix ensembles},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {699},
year = {2004},
number = {3},
pages = {487--502},
issn = {0550-3213},
mrclass = {82C22 (60K35 82C23)},
mrnumber = {2098551},
mrreviewer = {Michael Pr\"{a}hofer},
doi = {10.1016/j.nuclphysb.2004.08.016},
url = {https://doi.org/10.1016/j.nuclphysb.2004.08.016}
}
@Article{ nagasawa.tanaka:99:stochastic,
author = {Nagasawa, Masao and Tanaka, Hiroshi},
title = {Stochastic differential equations of pure-jumps in
relativistic quantum theory},
journal = {Chaos Solitons Fractals},
fjournal = {Chaos, Solitons \& Fractals},
volume = {10},
year = {1999},
number = {8},
pages = {1265--1280},
issn = {0960-0779},
mrclass = {81S25 (60H99)},
mrnumber = {1697664},
doi = {10.1016/S0960-0779(98)00044-7},
url = {https://doi.org/10.1016/S0960-0779(98)00044-7}
}
@Article{ nagy.rzewuski:59:on,
author = {Nagy, K. L. and Rzewuski, J.},
title = {On the equivalence of a certain class of non-local and
higher order field theories},
journal = {Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astr. Phys.},
fjournal = {Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astr. Phys.},
volume = {7},
year = {1959},
pages = {93--96},
mrclass = {81.00},
mrnumber = {104473},
mrreviewer = {C. Strachan}
}
@Article{ nahmod.oh.ea:12:invariant,
author = {Nahmod, Andrea R. and Oh, Tadahiro and Rey-Bellet, Luc and
Staffilani, Gigliola},
title = {Invariant weighted {W}iener measures and almost sure
global well-posedness for the periodic derivative {NLS}},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {14},
year = {2012},
number = {4},
pages = {1275--1330},
issn = {1435-9855},
mrclass = {35Q55 (35B10 35B30)},
mrnumber = {2928851},
doi = {10.4171/JEMS/333},
url = {https://doi.org/10.4171/JEMS/333}
}
@Article{ nakaguchi.yagi:02:fully,
author = {Nakaguchi, Etsushi and Yagi, Atsushi},
title = {Fully discrete approximation by {G}alerkin {R}unge-{K}utta
methods for quasilinear parabolic systems},
journal = {Hokkaido Math. J.},
fjournal = {Hokkaido Mathematical Journal},
volume = {31},
year = {2002},
number = {2},
pages = {385--429},
issn = {0385-4035},
mrclass = {35K55 (35A30 35K50 65M60 92C17)},
mrnumber = {1914967},
mrreviewer = {Ji\v{r}\'{i} Nedoma},
doi = {10.14492/hokmj/1350911871},
url = {https://doi.org/10.14492/hokmj/1350911871}
}
@Article{ nakajima.nakashima:23:fluctuations,
author = {Nakajima, Shuta and Nakashima, Makoto},
title = {Fluctuations of two-dimensional stochastic heat equation
and {KPZ} equation in subcritical regime for general
initial conditions},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {28},
year = {2023},
pages = {Paper No. 1, 38},
mrclass = {60H15 (60F05 60G44 60K37 82D60)},
mrnumber = {4529085},
doi = {10.1214/22-ejp885},
url = {https://doi.org/10.1214/22-ejp885}
}
@Article{ nakamura:79:backlund,
author = {Nakamura, Akira},
title = {B\"{a}cklund transform and conservation laws of the
{B}enjamin-{O}no equation},
journal = {J. Phys. Soc. Japan},
fjournal = {Journal of the Physical Society of Japan},
volume = {47},
year = {1979},
number = {4},
pages = {1335--1340},
issn = {0031-9015},
mrclass = {35Q20 (35A30 58F07)},
mrnumber = {550203},
mrreviewer = {A. Degasperis},
doi = {10.1143/JPSJ.47.1335},
url = {https://doi.org/10.1143/JPSJ.47.1335}
}
@Article{ nakayama:04:liouville,
author = {Nakayama, Yu},
title = {Liouville field theory: a decade after the revolution},
journal = {Internat. J. Modern Phys. A},
fjournal = {International Journal of Modern Physics A. Particles and
Fields. Gravitation. Cosmology},
volume = {19},
year = {2004},
number = {17-18},
pages = {2771--2930},
issn = {0217-751X},
mrclass = {81T40 (81-02 81T30)},
mrnumber = {2073993},
mrreviewer = {Marcel L. Vonk},
doi = {10.1142/S0217751X04019500},
url = {https://doi.org/10.1142/S0217751X04019500}
}
@Article{ nane.ni:16:stochastic,
author = {Nane, Erkan and Ni, Yinan},
title = {Stochastic solution of fractional {F}okker-{P}lanck
equations with space-time-dependent coefficients},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {442},
year = {2016},
number = {1},
pages = {103--116},
issn = {0022-247X},
mrclass = {35R11 (35Q84 35R60 60J60 60J75)},
mrnumber = {3498320},
doi = {10.1016/j.jmaa.2016.03.033},
url = {https://doi.org/10.1016/j.jmaa.2016.03.033}
}
@Article{ nane.ni:17:stability,
author = {Nane, Erkan and Ni, Yinan},
title = {Stability of the solution of stochastic differential
equation driven by time-changed {L}\'{e}vy noise},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {145},
year = {2017},
number = {7},
pages = {3085--3104},
issn = {0002-9939},
mrclass = {65C30 (34D20 60H10 93E15)},
mrnumber = {3637955},
mrreviewer = {Nikolaos Halidias},
doi = {10.1090/proc/13447},
url = {https://doi.org/10.1090/proc/13447}
}
@Article{ nane.ni:18:path,
author = {Nane, Erkan and Ni, Yinan},
title = {Path stability of stochastic differential equations driven
by time-changed {L}\'{e}vy noises},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {15},
year = {2018},
number = {1},
pages = {479--507},
mrclass = {60H10 (60G51 65C30)},
mrnumber = {3800483},
mrreviewer = {Ryoichi Suzuki},
doi = {10.30757/alea.v15-20},
url = {https://doi.org/10.30757/alea.v15-20}
}
@Article{ nane.nwaeze.ea:20:asymptotic,
author = {Nane, Erkan and Nwaeze, Eze R. and Omaba, McSylvester
Ejighikeme},
title = {Asymptotic behaviour of solution and non-existence of
global solution to a class of conformable time-fractional
stochastic equation},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {163},
year = {2020},
pages = {108792, 10},
issn = {0167-7152},
mrclass = {60H15 (26A24 26A33 34A08 82B44)},
mrnumber = {4092399},
doi = {10.1016/j.spl.2020.108792},
url = {https://doi.org/10.1016/j.spl.2020.108792}
}
@Article{ nane.tuan.ea:18:random,
author = {Nane, Erkan and Tuan, Nguyen Hoang and Tuan, Nguyen Huy},
title = {A random regularized approximate solution of the inverse
problem for {B}urgers' equation},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {132},
year = {2018},
pages = {46--54},
issn = {0167-7152},
mrclass = {35R30 (35K20 35K59 35Q53 60H25)},
mrnumber = {3718088},
doi = {10.1016/j.spl.2017.08.014},
url = {https://doi.org/10.1016/j.spl.2017.08.014}
}
@Article{ nane.tuan:18:approximate,
author = {Nane, Erkan and Tuan, Nguyen Huy},
title = {Approximate solutions of inverse problems for nonlinear
space fractional diffusion equations with randomly
perturbed data},
journal = {SIAM/ASA J. Uncertain. Quantif.},
fjournal = {SIAM/ASA Journal on Uncertainty Quantification},
volume = {6},
year = {2018},
number = {1},
pages = {302--338},
mrclass = {65M32 (35R11 35R30)},
mrnumber = {3773772},
mrreviewer = {Andreas Langer},
doi = {10.1137/17M1111139},
url = {https://doi.org/10.1137/17M1111139}
}
@Article{ nane.wu.ea:12:-time,
author = {Nane, Erkan and Wu, Dongsheng and Xiao, Yimin},
title = {{$\alpha$}-time fractional {B}rownian motion: {PDE}
connections and local times},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {16},
year = {2012},
pages = {1--24},
issn = {1292-8100},
mrclass = {60G17 (60G22 60J55 60J65 60K99)},
mrnumber = {2900521},
mrreviewer = {Narn-Rueih Shieh},
doi = {10.1051/ps/2011103},
url = {https://doi.org/10.1051/ps/2011103}
}
@Article{ nane.xiao.ea:10:strong,
author = {Nane, Erkan and Xiao, Yimin and Zeleke, Aklilu},
title = {A strong law of large numbers with applications to
self-similar stable processes},
journal = {Acta Sci. Math. (Szeged)},
fjournal = {Acta Universitatis Szegediensis. Acta Scientiarum
Mathematicarum},
volume = {76},
year = {2010},
number = {3-4},
pages = {697--711},
issn = {0001-6969},
mrclass = {60F15 (60G18 60G22 60G52)},
mrnumber = {2789693},
mrreviewer = {Jason R. Swanson}
}
@Article{ nane.xiao.ea:20:strong,
author = {Nane, Erkan and Xiao, Yimin and Zeleke, Aklilu},
title = {Strong laws of large numbers for arrays of random
variables and stable random fields},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {484},
year = {2020},
number = {1},
pages = {123737, 20},
issn = {0022-247X},
mrclass = {60F15 (60G22 60G52 60G60)},
mrnumber = {4038651},
mrreviewer = {Yizao Wang},
doi = {10.1016/j.jmaa.2019.123737},
url = {https://doi.org/10.1016/j.jmaa.2019.123737}
}
@Article{ nane:06:iterated,
author = {Nane, Erkan},
title = {Iterated {B}rownian motion in parabola-shaped domains},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {24},
year = {2006},
number = {2},
pages = {105--123},
issn = {0926-2601},
mrclass = {60J65},
mrnumber = {2217416},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1007/s11118-005-2611-9},
url = {https://doi.org/10.1007/s11118-005-2611-9}
}
@Article{ nane:06:iterated*1,
author = {Nane, Erkan},
title = {Iterated {B}rownian motion in bounded domains in
{$\mathbb{R}^n$}},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {116},
year = {2006},
number = {6},
pages = {905--916},
issn = {0304-4149},
mrclass = {60J65},
mrnumber = {2254664},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1016/j.spa.2005.10.007},
url = {https://doi.org/10.1016/j.spa.2005.10.007}
}
@Book{ nane:06:iterated*2,
author = {Nane, Erkan},
title = {Iterated {B}rownian motion: {L}ifetime asymptotics and
isoperimetric-type inequalities},
note = {Thesis (Ph.D.)--Purdue University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2006},
pages = {47},
isbn = {978-0542-86606-7},
mrclass = {Thesis},
mrnumber = {2709290},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3232219}
}
@Article{ nane:06:laws,
author = {Nane, Erkan},
title = {Laws of the iterated logarithm for {$\alpha$}-time
{B}rownian motion},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {11},
year = {2006},
pages = {no. 18, 434--459},
issn = {1083-6489},
mrclass = {60J65 (60K99)},
mrnumber = {2223043},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1214/EJP.v11-327},
url = {https://doi.org/10.1214/EJP.v11-327}
}
@Article{ nane:07:lifetime,
author = {Nane, Erkan},
title = {Lifetime asymptotics of iterated {B}rownian motion in
{$\mathbb{R}^n$}},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {11},
year = {2007},
pages = {147--160},
issn = {1292-8100},
mrclass = {60J65 (60K99)},
mrnumber = {2299652},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1051/ps:2007012},
url = {https://doi.org/10.1051/ps:2007012}
}
@Article{ nane:08:higher,
author = {Nane, Erkan},
title = {Higher order {PDE}'s and iterated processes},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {360},
year = {2008},
number = {5},
pages = {2681--2692},
issn = {0002-9947},
mrclass = {60J65 (35K30)},
mrnumber = {2373329},
mrreviewer = {Zoran Vondra\v{c}ek},
doi = {10.1090/S0002-9947-07-04437-6},
url = {https://doi.org/10.1090/S0002-9947-07-04437-6}
}
@Article{ nane:08:isoperimetric-type,
author = {Nane, Erkan},
title = {Isoperimetric-type inequalities for iterated {B}rownian
motion in {$\mathbb{R}^n$}},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {78},
year = {2008},
number = {1},
pages = {90--95},
issn = {0167-7152},
mrclass = {60J65 (60E15)},
mrnumber = {2381278},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1016/j.spl.2007.05.007},
url = {https://doi.org/10.1016/j.spl.2007.05.007}
}
@Article{ nane:08:symmetric,
author = {Nane, Erkan},
title = {Symmetric {$\alpha$}-stable subordinators and {C}auchy
problems},
journal = {Int. J. Pure Appl. Math.},
fjournal = {International Journal of Pure and Applied Mathematics},
volume = {42},
year = {2008},
number = {2},
pages = {217--225},
issn = {1311-8080},
mrclass = {35K15 (60G51)},
mrnumber = {2383920}
}
@Article{ nane:09:laws,
author = {Nane, Erkan},
title = {Laws of the iterated logarithm for a class of iterated
processes},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {79},
year = {2009},
number = {16},
pages = {1744--1751},
issn = {0167-7152},
mrclass = {60F15 (60G52)},
mrnumber = {2566748},
doi = {10.1016/j.spl.2009.04.013},
url = {https://doi.org/10.1016/j.spl.2009.04.013}
}
@Article{ nane:10:stochastic,
author = {Nane, Erkan},
title = {Stochastic solutions of a class of higher order {C}auchy
problems in {$\mathbb{R}^d$}},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {10},
year = {2010},
number = {3},
pages = {341--366},
issn = {0219-4937},
mrclass = {60H30 (35R60 60G51 60J65)},
mrnumber = {2671380},
mrreviewer = {Jan I. Seidler},
doi = {10.1142/S021949371000298X},
url = {https://doi.org/10.1142/S021949371000298X}
}
@InCollection{ nane:12:fractional,
author = {Nane, Erkan},
title = {Fractional {C}auchy problems on bounded domains: survey of
recent results},
booktitle = {Fractional dynamics and control},
pages = {185--198},
publisher = {Springer, New York},
year = {2012},
mrclass = {35R11 (26A33 35-02 35K20 35R60)},
mrnumber = {2905876},
doi = {10.1007/978-1-4614-0457-6\_15},
url = {https://doi.org/10.1007/978-1-4614-0457-6_15}
}
@InCollection{ narayanan.palmer.ea:92:some,
author = {Narayanan, Rajamani S. and Palmer, John and Tracy, Craig
A.},
title = {Some isomonodromy problems in hyperbolic space},
booktitle = {Painlev\'{e} transcendents ({S}ainte-{A}d\`ele, {PQ},
1990)},
series = {NATO Adv. Sci. Inst. Ser. B: Phys.},
volume = {278},
pages = {407--423},
publisher = {Plenum, New York},
year = {1992},
mrclass = {81T10 (58G26 81T40)},
mrnumber = {1243704},
mrreviewer = {Alan L. Carey}
}
@Article{ narayanan.tracy:90:holonomic,
author = {Narayanan, Rajamani and Tracy, Craig A.},
title = {Holonomic quantum field theory of bosons in the
{P}oincar\'{e} disk and the zero curvature limit},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {340},
year = {1990},
number = {2-3},
pages = {568--594},
issn = {0550-3213},
mrclass = {81T40 (58Z05)},
mrnumber = {1068093},
doi = {10.1016/0550-3213(90)90459-Q},
url = {https://doi.org/10.1016/0550-3213(90)90459-Q}
}
@Article{ nasreddine:14:global,
author = {Nasreddine, Elissar},
title = {Global existence of solutions to a parabolic-elliptic
chemotaxis system with critical degenerate diffusion},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {417},
year = {2014},
number = {1},
pages = {144--163},
issn = {0022-247X},
mrclass = {35M33 (35A01 35A02)},
mrnumber = {3191418},
doi = {10.1016/j.jmaa.2014.02.069},
url = {https://doi.org/10.1016/j.jmaa.2014.02.069}
}
@Book{ national-research-council:08:department,
title = {Department of Homeland Security bioterrorism risk
assessment: A call for change},
author = {{National Research Council}},
year = {2008},
publisher = {National Academies Press}
}
@Article{ nawa:99:asymptotic,
author = {Nawa, Hayato},
title = {Asymptotic and limiting profiles of blowup solutions of
the nonlinear {S}chr\"{o}dinger equation with critical
power},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {52},
year = {1999},
number = {2},
pages = {193--270},
issn = {0010-3640},
mrclass = {35Q55 (35B40)},
mrnumber = {1653454},
mrreviewer = {Yvan Martel},
doi = {10.1002/(SICI)1097-0312(199902)52:2<193::AID-CPA2>3.0.CO;2-3},
url = {https://doi.org/10.1002/(SICI)1097-0312(199902)52:2<193::AID-CPA2>3.0.CO;2-3}
}
@Article{ nazarov.sodin.ea:07:transportation,
author = {Nazarov, Fedor and Sodin, Mikhail and Volberg, Alexander},
title = {Transportation to random zeroes by the gradient flow},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {17},
year = {2007},
number = {3},
pages = {887--935},
issn = {1016-443X},
mrclass = {60G55 (30C15 30D15 31A35 60G15)},
mrnumber = {2346279},
mrreviewer = {Lutz Peter Klotz},
doi = {10.1007/s00039-007-0613-z},
url = {https://doi.org/10.1007/s00039-007-0613-z}
}
@InProceedings{ nazarov.sodin:10:random,
author = {Nazarov, Fedor and Sodin, Mikhail},
title = {Random complex zeroes and random nodal lines},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians. {V}olume {III}},
pages = {1450--1484},
publisher = {Hindustan Book Agency, New Delhi},
year = {2010},
mrclass = {60G99 (30B20 33C55 60G55)},
mrnumber = {2827851},
mrreviewer = {J. Gopala Krishna}
}
@Article{ nazarov.sodin:10:what,
author = {Nazarov, Fedor and Sodin, Mikhail},
title = {What is{$\ldots$}a {G}aussian entire function?},
journal = {Notices Amer. Math. Soc.},
fjournal = {Notices of the American Mathematical Society},
volume = {57},
year = {2010},
number = {3},
pages = {375--377},
issn = {0002-9920},
mrclass = {30B50 (30B20)},
mrnumber = {2643444},
mrreviewer = {Kazimierz W\l odarczyk}
}
@Article{ nazarov.sodin:11:fluctuations,
author = {Nazarov, F. and Sodin, M.},
title = {Fluctuations in random complex zeroes: asymptotic
normality revisited},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2011},
number = {24},
pages = {5720--5759},
issn = {1073-7928},
mrclass = {60G15 (30D20 60B20 60G55 60G99)},
mrnumber = {2863379},
mrreviewer = {Zakhar Kabluchko},
doi = {10.1093/imrn/rnr007},
url = {https://doi.org/10.1093/imrn/rnr007}
}
@Book{ needham:97:visual,
author = {Needham, Tristan},
title = {Visual complex analysis},
publisher = {The Clarendon Press, Oxford University Press, New York},
year = {1997},
pages = {xxiv+592},
isbn = {0-19-853447-7},
mrclass = {30-01},
mrnumber = {1446490},
mrreviewer = {D. H. Armitage}
}
@InCollection{ neerven.veraar.ea:07:conditions,
author = {van Neerven, Jan and Veraar, Mark and Weis, Lutz},
title = {Conditions for stochastic integrability in {UMD} {B}anach
spaces},
booktitle = {Banach spaces and their applications in analysis},
pages = {125--146},
publisher = {Walter de Gruyter, Berlin},
year = {2007},
isbn = {978-3-11-019449-4},
mrclass = {60H05 (46B09)},
mrnumber = {2374704},
mrreviewer = {Martin\ Ondrej\'at}
}
@Article{ neerven.veraar.ea:07:stochastic,
author = {van Neerven, J. M. A. M. and Veraar, M. C. and Weis, L.},
title = {Stochastic integration in {UMD} {B}anach spaces},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {4},
pages = {1438--1478},
issn = {0091-1798,2168-894X},
mrclass = {60H05 (28C20 60B11)},
mrnumber = {2330977},
mrreviewer = {Martin\ Ondrej\'at},
doi = {10.1214/009117906000001006},
url = {https://doi.org/10.1214/009117906000001006}
}
@Article{ neerven.veraar.ea:08:stochastic,
author = {van Neerven, J. M. A. M. and Veraar, M. C. and Weis, L.},
title = {Stochastic evolution equations in {UMD} {B}anach spaces},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {255},
year = {2008},
number = {4},
pages = {940--993},
issn = {0022-1236},
mrclass = {35R60 (35B65 35K55 46N30 47D06 60H15 60H20)},
mrnumber = {2433958},
mrreviewer = {Krystyna Twardowska},
doi = {10.1016/j.jfa.2008.03.015},
url = {https://doi.org/10.1016/j.jfa.2008.03.015}
}
@Article{ neerven.veraar.ea:12:maximal,
author = {van Neerven, Jan and Veraar, Mark and Weis, Lutz},
title = {Maximal {$L^p$}-regularity for stochastic evolution
equations},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {44},
year = {2012},
number = {3},
pages = {1372--1414},
issn = {0036-1410,1095-7154},
mrclass = {60H15 (35R60 46B09 47D06)},
mrnumber = {2982717},
mrreviewer = {Elisa\ Al\`os},
doi = {10.1137/110832525},
url = {https://doi.org/10.1137/110832525}
}
@Article{ neerven.veraar.ea:12:stochastic,
author = {van Neerven, Jan and Veraar, Mark and Weis, Lutz},
title = {Stochastic maximal {$L^p$}-regularity},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {2},
pages = {788--812},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (35B65 42B25 47A60 47D06)},
mrnumber = {2952092},
mrreviewer = {Feng-Yu\ Wang},
doi = {10.1214/10-AOP626},
url = {https://doi.org/10.1214/10-AOP626}
}
@Article{ neerven.veraar.ea:15:maximal,
author = {van Neerven, Jan and Veraar, Mark and Weis, Lutz},
title = {Maximal {$\gamma$}-regularity},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {15},
year = {2015},
number = {2},
pages = {361--402},
issn = {1424-3199,1424-3202},
mrclass = {35B65 (35K90 35R60 60H30)},
mrnumber = {3353141},
mrreviewer = {Tomoro\ Asai},
doi = {10.1007/s00028-014-0264-0},
url = {https://doi.org/10.1007/s00028-014-0264-0}
}
@Article{ neerven.veraar.ea:15:on,
author = {van Neerven, Jan and Veraar, Mark and Weis, Lutz},
title = {On the {$R$}-boundedness of stochastic convolution
operators},
journal = {Positivity},
fjournal = {Positivity. An International Mathematics Journal Devoted
to Theory and Applications of Positivity},
volume = {19},
year = {2015},
number = {2},
pages = {355--384},
issn = {1385-1292,1572-9281},
mrclass = {60H15 (42B25 46B09 46E30 60H05)},
mrnumber = {3357999},
doi = {10.1007/s11117-014-0302-8},
url = {https://doi.org/10.1007/s11117-014-0302-8}
}
@InCollection{ neerven.veraar.ea:15:stochastic,
author = {van Neerven, Jan and Veraar, Mark and Weis, Lutz},
title = {Stochastic integration in {B}anach spaces---a survey},
booktitle = {Stochastic analysis: a series of lectures},
series = {Progr. Probab.},
volume = {68},
pages = {297--332},
publisher = {Birkh\"auser/Springer, Basel},
year = {2015},
isbn = {978-3-0348-0909-2; 978-3-0348-0908-5},
mrclass = {60H05 (46B09 60B11 60H07 60H15)},
mrnumber = {3558130},
doi = {10.1007/978-3-0348-0909-2\_11},
url = {https://doi.org/10.1007/978-3-0348-0909-2_11}
}
@InCollection{ neerven.veraar:06:on,
author = {van Neerven, Jan and Veraar, Mark C.},
title = {On the stochastic {F}ubini theorem in infinite
dimensions},
booktitle = {Stochastic partial differential equations and
applications---{VII}},
series = {Lect. Notes Pure Appl. Math.},
volume = {245},
pages = {323--336},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
isbn = {978-0-8247-0027-0; 0-8247-0027-9},
mrclass = {60H05},
mrnumber = {2227239},
mrreviewer = {Vigirdas\ Mackevi\v cius},
doi = {10.1201/9781420028720.ch26},
url = {https://doi.org/10.1201/9781420028720.ch26}
}
@Article{ neerven.zabczyk:99:norm,
author = {van Neerven, J. M. A. M. and Zabczyk, J.},
title = {Norm discontinuity of {O}rnstein-{U}hlenbeck semigroups},
journal = {Semigroup Forum},
fjournal = {Semigroup Forum},
volume = {59},
year = {1999},
number = {3},
pages = {389--403},
issn = {0037-1912},
mrclass = {47D07 (60J35)},
mrnumber = {1847653},
mrreviewer = {Joerg-Uwe Loebus},
doi = {10.1007/s002339900058},
url = {https://doi.org/10.1007/s002339900058}
}
@Book{ neerven:92:adjoint,
author = {van Neerven, Jan},
title = {The adjoint of a semigroup of linear operators},
series = {Lecture Notes in Mathematics},
volume = {1529},
publisher = {Springer-Verlag, Berlin},
year = {1992},
pages = {x+195},
isbn = {3-540-56260-5},
mrclass = {47D03 (46A20 46B22 46B42 47B60 47D06)},
mrnumber = {1222650},
mrreviewer = {Anton Schep},
doi = {10.1007/BFb0085008},
url = {https://doi.org/10.1007/BFb0085008}
}
@Article{ negreanu.tello:18:on,
author = {Negreanu, Mihaela and Tello, J. Ignacio},
title = {On a parabolic-elliptic system with gradient dependent
chemotactic coefficient},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {265},
year = {2018},
number = {3},
pages = {733--751},
issn = {0022-0396},
mrclass = {92C17 (35B45 35M33 35Q92)},
mrnumber = {3788622},
mrreviewer = {Jingyu Li},
doi = {10.1016/j.jde.2018.01.040},
url = {https://doi.org/10.1016/j.jde.2018.01.040}
}
@Article{ negreanu.tello:19:global,
author = {Negreanu, M. and Tello, J. I.},
title = {Global existence and asymptotic behavior of solutions to a
predator-prey chemotaxis system with two chemicals},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {474},
year = {2019},
number = {2},
pages = {1116--1131},
issn = {0022-247X},
mrclass = {92D25 (35B65 35K57 35M33 35Q92)},
mrnumber = {3926158},
doi = {10.1016/j.jmaa.2019.02.007},
url = {https://doi.org/10.1016/j.jmaa.2019.02.007}
}
@InProceedings{ nelson:66:quartic,
author = {Nelson, Edward},
title = {A quartic interaction in two dimensions},
booktitle = {Mathematical {T}heory of {E}lementary {P}articles ({P}roc.
{C}onf., {D}edham, {M}ass., 1965)},
pages = {69--73},
publisher = {MIT Press, Cambridge, Mass.-London},
year = {1966},
mrclass = {81.47},
mrnumber = {210416},
mrreviewer = {G. Heber}
}
@Book{ nelson:67:dynamical,
author = {Nelson, Edward},
title = {Dynamical theories of {B}rownian motion},
publisher = {Princeton University Press, Princeton, N.J.},
year = {1967},
pages = {iii+142},
mrclass = {60.62 (82.00)},
mrnumber = {0214150},
mrreviewer = {H. P. McKean, Jr.}
}
@Article{ nersesjan:68:cauchy,
author = {Nersesjan, A. B.},
title = {The {C}auchy problem for degenerating second-order
hyperbolic equations},
journal = {Izv. Akad. Nauk Armjan. SSR Ser. Mat.},
fjournal = {Izvestija Akademii Nauk Armjanskou{i} SSR. Serija
Matematika},
volume = {3},
year = {1968},
number = {2},
pages = {79--100},
issn = {0002-3043},
mrclass = {35.37},
mrnumber = {229959},
mrreviewer = {R. N. Goss}
}
@Article{ netrusov.safarov:05:weyl,
author = {Netrusov, Yu. and Safarov, Yu.},
title = {Weyl asymptotic formula for the {L}aplacian on domains
with rough boundaries},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {253},
year = {2005},
number = {2},
pages = {481--509},
issn = {0010-3616},
mrclass = {35P20 (35J05)},
mrnumber = {2140257},
mrreviewer = {Yongzhi Xu},
doi = {10.1007/s00220-004-1158-8},
url = {https://doi.org/10.1007/s00220-004-1158-8}
}
@Article{ neuenkirch.nourdin.ea:08:delay,
author = {Neuenkirch, A. and Nourdin, I. and Tindel, S.},
title = {Delay equations driven by rough paths},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
pages = {no. 67, 2031--2068},
mrclass = {60G22 (60H05 60H07)},
mrnumber = {2453555},
mrreviewer = {No\`elia Viles},
doi = {10.1214/EJP.v13-575},
url = {https://doi.org/10.1214/EJP.v13-575}
}
@Article{ neuenkirch.nourdin.ea:09:trees,
author = {Neuenkirch, A. and Nourdin, I. and R\"{o}\ss ler, A. and
Tindel, S.},
title = {Trees and asymptotic expansions for fractional stochastic
differential equations},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {45},
year = {2009},
number = {1},
pages = {157--174},
issn = {0246-0203},
mrclass = {60H05 (60G15 60H07 60H10)},
mrnumber = {2500233},
mrreviewer = {George Stoica},
doi = {10.1214/07-AIHP159},
url = {https://doi.org/10.1214/07-AIHP159}
}
@Article{ neuenkirch.nourdin:07:exact,
author = {Neuenkirch, Andreas and Nourdin, Ivan},
title = {Exact rate of convergence of some approximation schemes
associated to {SDE}s driven by a fractional {B}rownian
motion},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {20},
year = {2007},
number = {4},
pages = {871--899},
issn = {0894-9840},
mrclass = {60H20 (60G15)},
mrnumber = {2359060},
mrreviewer = {Thomas D. Simon},
doi = {10.1007/s10959-007-0083-0},
url = {https://doi.org/10.1007/s10959-007-0083-0}
}
@Article{ neuenkirch.tindel.ea:10:discretizing,
author = {Neuenkirch, A. and Tindel, S. and Unterberger, J.},
title = {Discretizing the fractional {L}\'{e}vy area},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {120},
year = {2010},
number = {2},
pages = {223--254},
issn = {0304-4149},
mrclass = {60H35 (60G22 60H07)},
mrnumber = {2576888},
mrreviewer = {Laurent Decreusefond},
doi = {10.1016/j.spa.2009.10.007},
url = {https://doi.org/10.1016/j.spa.2009.10.007}
}
@Article{ neuenkirch.tindel:14:least,
author = {Neuenkirch, Andreas and Tindel, Samy},
title = {A least square-type procedure for parameter estimation in
stochastic differential equations with additive fractional
noise},
journal = {Stat. Inference Stoch. Process.},
fjournal = {Statistical Inference for Stochastic Processes. An
International Journal Devoted to Time Series Analysis and
the Statistics of Continuous Time Processes and Dynamical
Systems},
volume = {17},
year = {2014},
number = {1},
pages = {99--120},
issn = {1387-0874},
mrclass = {62M09 (60G22 60H10 62F12)},
mrnumber = {3178015},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1007/s11203-013-9084-z},
url = {https://doi.org/10.1007/s11203-013-9084-z}
}
@Book{ nevanlinna.paatero:69:introduction,
author = {Nevanlinna, Rolf and Paatero, V.},
title = {Introduction to complex analysis},
note = {Translated from the German by T. K\"{o}vari and G. S.
Goodman},
publisher = {Addison-Wesley Publishing Co., Reading, Mass.-London-Don
Mills, Ont.},
year = {1969},
pages = {ix+348},
mrclass = {30.00},
mrnumber = {0239056}
}
@InCollection{ neveu:88:multiplicative,
author = {Neveu, J.},
title = {Multiplicative martingales for spatial branching
processes},
booktitle = {Seminar on {S}tochastic {P}rocesses, 1987 ({P}rinceton,
{NJ}, 1987)},
series = {Progr. Probab. Statist.},
volume = {15},
pages = {223--242},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1988},
mrclass = {60J80 (60G44 60J60)},
mrnumber = {1046418},
doi = {10.1007/978-1-4684-0550-7\_10},
url = {https://doi.org/10.1007/978-1-4684-0550-7_10}
}
@Article{ newman.piza:95:divergence,
author = {Newman, Charles M. and Piza, Marcelo S. T.},
title = {Divergence of shape fluctuations in two dimensions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {3},
pages = {977--1005},
issn = {0091-1798},
mrclass = {82C43 (60K35)},
mrnumber = {1349159},
mrreviewer = {Wei-Shih Yang},
url = {http://links.jstor.org/sici?sici=0091-1798(199507)23:3<977:DOSFIT>2.0.CO;2-V&origin=MSN}
}
@Article{ newman.wright:81:invariance,
author = {Newman, C. M. and Wright, A. L.},
title = {An invariance principle for certain dependent sequences},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {9},
year = {1981},
number = {4},
pages = {671--675},
issn = {0091-1798},
mrclass = {60F17 (60G15)},
mrnumber = {624694},
mrreviewer = {S. K. Srinivasan},
url = {http://links.jstor.org/sici?sici=0091-1798(198108)9:4<671:AIPFCD>2.0.CO;2-A&origin=MSN}
}
@Book{ newman:18:networks,
author = {Newman, Mark},
title = {Networks},
note = {Second edition of [ MR2676073]},
publisher = {Oxford University Press, Oxford},
year = {2018},
pages = {xi+780},
isbn = {978-0-19-880509-0},
mrclass = {05-01 (05C82 37Nxx 68M11 90-01 90B10 90B18 92B20)},
mrnumber = {3838417},
doi = {10.1093/oso/9780198805090.001.0001},
url = {https://doi.org/10.1093/oso/9780198805090.001.0001}
}
@Article{ newman:83:general,
author = {Newman, Charles M.},
title = {A general central limit theorem for {FKG} systems},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {91},
year = {1983},
number = {1},
pages = {75--80},
issn = {0010-3616},
mrclass = {82A05 (82A68)},
mrnumber = {719811},
mrreviewer = {C. A. Hurst},
url = {http://projecteuclid.org/euclid.cmp/1103940474}
}
@InProceedings{ newman:95:surface,
author = {Newman, Charles M.},
title = {A surface view of first-passage percolation},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians, {V}ol. 1, 2 ({Z}\"{u}rich, 1994)},
pages = {1017--1023},
publisher = {Birkh\"{a}user, Basel},
year = {1995},
mrclass = {60K35 (82B43)},
mrnumber = {1404001},
mrreviewer = {Yu Zhang}
}
@Article{ ney.spitzer:66:martin,
author = {Ney, P. and Spitzer, F.},
title = {The {M}artin boundary for random walk},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {121},
year = {1966},
pages = {116--132},
issn = {0002-9947,1088-6850},
mrclass = {60.66 (60.62)},
mrnumber = {195151},
mrreviewer = {J.\ L.\ Snell},
doi = {10.2307/1994335},
url = {https://doi.org/10.2307/1994335}
}
@Article{ nguetseng:89:general,
author = {Nguetseng, Gabriel},
title = {A general convergence result for a functional related to
the theory of homogenization},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {20},
year = {1989},
number = {3},
pages = {608--623},
issn = {0036-1410},
mrclass = {35B25 (35B40 49A50 73C40)},
mrnumber = {990867},
mrreviewer = {Luciano Modica},
doi = {10.1137/0520043},
url = {https://doi.org/10.1137/0520043}
}
@Article{ nguyen.rosenzweig.ea:22:mean-field,
author = {Nguyen, Quoc-Hung and Rosenzweig, Matthew and Serfaty,
Sylvia},
title = {Mean-field limits of {R}iesz-type singular flows},
journal = {Ars Inven. Anal.},
fjournal = {Ars Inveniendi Analytica},
year = {2022},
pages = {Paper No. 4, 45},
mrclass = {70F10 (35Q70 82C22)},
mrnumber = {4462479},
mrreviewer = {Rutwig Campoamor-Stursberg}
}
@Article{ ni.ea:15:ollivier-ricci,
title = {Ollivier-Ricci curvature, local clustering and
curvature-dimension inequalities on graphs},
author = {Ni, Yau Chuen and others},
journal = {Journal of Graph Theory},
volume = {78},
number = {3},
pages = {149--168},
year = {2015},
publisher = {Wiley Online Library}
}
@Article{ ni.sacks.ea:84:on,
author = {Ni, Wei-Ming and Sacks, Paul E. and Tavantzis, John},
title = {On the asymptotic behavior of solutions of certain
quasilinear parabolic equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {54},
year = {1984},
number = {1},
pages = {97--120},
issn = {0022-0396},
mrclass = {35B40 (35K57 92A09)},
mrnumber = {756548},
doi = {10.1016/0022-0396(84)90145-1},
url = {https://doi.org/10.1016/0022-0396(84)90145-1}
}
@Article{ ni.takagi:91:on,
author = {Ni, Wei-Ming and Takagi, Izumi},
title = {On the shape of least-energy solutions to a semilinear
{N}eumann problem},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {44},
year = {1991},
number = {7},
pages = {819--851},
issn = {0010-3640},
mrclass = {35J65 (35B05)},
mrnumber = {1115095},
mrreviewer = {C. A. Swanson},
doi = {10.1002/cpa.3160440705},
url = {https://doi.org/10.1002/cpa.3160440705}
}
@Article{ nica.quastel.ea:20:one-sided,
author = {Nica, Mihai and Quastel, Jeremy and Remenik, Daniel},
title = {One-sided reflected {B}rownian motions and the {KPZ} fixed
point},
journal = {Forum Math. Sigma},
fjournal = {Forum of Mathematics. Sigma},
volume = {8},
year = {2020},
pages = {Paper No. e63, 16},
mrclass = {60K35 (82C43)},
mrnumber = {4190063},
mrreviewer = {Shuta Nakajima},
doi = {10.1017/fms.2020.56},
url = {https://doi.org/10.1017/fms.2020.56}
}
@Article{ nica.quastel.ea:20:solution,
author = {Nica, Mihai and Quastel, Jeremy and Remenik, Daniel},
title = {Solution of the {K}olmogorov equation for {TASEP}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {48},
year = {2020},
number = {5},
pages = {2344--2358},
issn = {0091-1798},
mrclass = {60K35 (82B23 82C22)},
mrnumber = {4152645},
doi = {10.1214/20-AOP1425},
url = {https://doi.org/10.1214/20-AOP1425}
}
@Article{ nicole-megow.schweitzer:11:online,
title = {Online Graph Exploration: New Results on Old and New
Algorithms},
author = {Nicole Megow, Kurt Mehlhorn, and Pascal Schweitzer},
series = {Lecture Notes in Computer Science},
volume = {6756},
year = {2011},
publisher = {Springer}
}
@Article{ nicolis.nicolis:81:stochastic,
author = {Nicolis, C. and Nicolis, G.},
title = {Stochastic aspects of climatic transitions---additive
fluctuations},
journal = {Tellus},
fjournal = {Tellus. A Quarterly Journal of Geophysics},
volume = {33},
year = {1981},
number = {3},
pages = {225--234},
issn = {0040-2826},
mrclass = {86A10 (93E03)},
mrnumber = {620475},
doi = {10.3402/tellusa.v33i3.10710},
url = {https://doi.org/10.3402/tellusa.v33i3.10710}
}
@Book{ niculescu.persson:18:convex,
author = {Niculescu, Constantin P. and Persson, Lars-Erik},
title = {Convex functions and their applications},
series = {CMS Books in Mathematics/Ouvrages de Math\'{e}matiques de
la SMC},
note = {A contemporary approach, Second edition of [ MR2178902]},
publisher = {Springer, Cham},
year = {2018},
pages = {xvii+415},
isbn = {978-3-319-78336-9; 978-3-319-78337-6},
mrclass = {26-01 (26A51 26B25 26D99 52A41 90C25)},
mrnumber = {3821518},
mrreviewer = {\'{A}rp\'{a}d Baricz},
doi = {10.1007/978-3-319-78337-6},
url = {https://doi.org/10.1007/978-3-319-78337-6}
}
@Article{ nienhuis:82:exact,
author = {Nienhuis, Bernard},
title = {Exact critical point and critical exponents of {${\rm
O}(n)$} models in two dimensions},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {49},
year = {1982},
number = {15},
pages = {1062--1065},
issn = {0031-9007},
mrclass = {81E25 (82A68)},
mrnumber = {675241},
doi = {10.1103/PhysRevLett.49.1062},
url = {https://doi.org/10.1103/PhysRevLett.49.1062}
}
@Article{ nienhuis:84:critical,
author = {Nienhuis, Bernard},
title = {Critical behavior of two-dimensional spin models and
charge asymmetry in the {C}oulomb gas},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {34},
year = {1984},
number = {5-6},
pages = {731--761},
issn = {0022-4715},
mrclass = {82A68 (82A05 82A25)},
mrnumber = {751711},
mrreviewer = {Vladimir Privman},
doi = {10.1007/BF01009437},
url = {https://doi.org/10.1007/BF01009437}
}
@InCollection{ nienhuis:87:coulomb,
author = {Nienhuis, Bernard},
title = {Coulomb gas formulation of two-dimensional phase
transitions},
booktitle = {Phase transitions and critical phenomena, {V}ol. 11},
pages = {1--53},
publisher = {Academic Press, London},
year = {1987},
mrclass = {82A25 (82-02 82A68)},
mrnumber = {942673}
}
@Article{ nieto.poupaud.ea:01:high-field,
author = {Nieto, Juan and Poupaud, Fr\'{e}d\'{e}ric and Soler, Juan},
title = {High-field limit for the
{V}lasov-{P}oisson-{F}okker-{P}lanck system},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {158},
year = {2001},
number = {1},
pages = {29--59},
issn = {0003-9527},
mrclass = {82D10 (35B40 82C31)},
mrnumber = {1834113},
mrreviewer = {Yan Guo},
doi = {10.1007/s002050100139},
url = {https://doi.org/10.1007/s002050100139}
}
@Article{ nikitin.orsingher:00:on,
author = {Nikitin, Y. and Orsingher, E.},
title = {On sojourn distributions of processes related to some
higher-order heat-type equations},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {13},
year = {2000},
number = {4},
pages = {997--1012},
issn = {0894-9840},
mrclass = {60J65 (35A22 35K05 35K25 60H99)},
mrnumber = {1820499},
mrreviewer = {Ross Pinsky},
doi = {10.1023/A:1007861923910},
url = {https://doi.org/10.1023/A:1007861923910}
}
@InProceedings{ nikolova.brand.ea:06:optimal,
title = {Optimal Route Planning under Uncertainty.},
author = {Nikolova, Evdokia and Brand, Matthew and Karger, David R},
booktitle = {Icaps},
volume = {6},
pages = {131--141},
year = {2006}
}
@Article{ nirenberg:66:extended,
author = {Nirenberg, L.},
title = {An extended interpolation inequality},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie III},
volume = {20},
year = {1966},
pages = {733--737},
issn = {0391-173X},
mrclass = {46.38},
mrnumber = {208360},
mrreviewer = {Richard Beals}
}
@Article{ niu.li:14:numerical,
author = {Niu, Jing and Li, Ping},
title = {Numerical algorithm for the third-order partial
differential equation with three-point boundary value
problem},
journal = {Abstr. Appl. Anal.},
fjournal = {Abstract and Applied Analysis},
year = {2014},
pages = {Art. ID 630671, 7},
issn = {1085-3375},
mrclass = {65M99 (35C10 35G16)},
mrnumber = {3228081},
mrreviewer = {Vasile Dru{a}gan},
doi = {10.1155/2014/630671},
url = {https://doi.org/10.1155/2014/630671}
}
@Article{ noble:97:evolution,
author = {Noble, J. M.},
title = {Evolution equation with {G}aussian potential},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {28},
year = {1997},
number = {1},
pages = {103--135},
issn = {0362-546X},
mrclass = {60H15},
mrnumber = {1416036},
mrreviewer = {Nataliya Y. Goncharuk},
doi = {10.1016/0362-546X(95)00037-V},
url = {https://doi.org/10.1016/0362-546X(95)00037-V}
}
@Article{ nolan.pollard:87:u-processes,
author = {Nolan, Deborah and Pollard, David},
title = {{$U$}-processes: rates of convergence},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {15},
year = {1987},
number = {2},
pages = {780--799},
issn = {0090-5364},
mrclass = {60F15 (62G05)},
mrnumber = {888439},
mrreviewer = {S\'{a}ndor Cs\"{o}rg\H{o}},
doi = {10.1214/aos/1176350374},
url = {https://doi.org/10.1214/aos/1176350374}
}
@Article{ nolan.pollard:88:functional,
author = {Nolan, Deborah and Pollard, David},
title = {Functional limit theorems for {$U$}-processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {16},
year = {1988},
number = {3},
pages = {1291--1298},
issn = {0091-1798},
mrclass = {60F17 (62E20)},
mrnumber = {942769},
mrreviewer = {M. D. Burke},
url = {http://links.jstor.org/sici?sici=0091-1798(198807)16:3<1291:FLTF>2.0.CO;2-D&origin=MSN}
}
@Article{ nolen.roquejoffre.ea:19:refined,
author = {Nolen, James and Roquejoffre, Jean-Michel and Ryzhik,
Lenya},
title = {Refined long-time asymptotics for {F}isher-{KPP} fronts},
journal = {Commun. Contemp. Math.},
fjournal = {Communications in Contemporary Mathematics},
volume = {21},
year = {2019},
number = {7},
pages = {1850072, 25},
issn = {0219-1997},
mrclass = {35K57 (35A18 35B40 35C07 35K91)},
mrnumber = {4017787},
mrreviewer = {Hermenegildo Borges de Oliveira},
doi = {10.1142/S0219199718500724},
url = {https://doi.org/10.1142/S0219199718500724}
}
@Article{ nolen.rudd.ea:05:existence,
author = {Nolen, James and Rudd, Matthew and Xin, Jack},
title = {Existence of {KPP} fronts in spatially-temporally periodic
advection and variational principle for propagation
speeds},
journal = {Dyn. Partial Differ. Equ.},
fjournal = {Dynamics of Partial Differential Equations},
volume = {2},
year = {2005},
number = {1},
pages = {1--24},
issn = {1548-159X},
mrclass = {35K55 (35B10 37L99)},
mrnumber = {2142338},
mrreviewer = {Varga Kalantarov},
doi = {10.4310/DPDE.2005.v2.n1.a1},
url = {https://doi.org/10.4310/DPDE.2005.v2.n1.a1}
}
@Article{ nolen.xin:05:existence,
author = {Nolen, James and Xin, Jack},
title = {Existence of {KPP} type fronts in space-time periodic
shear flows and a study of minimal speeds based on
variational principle},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {13},
year = {2005},
number = {5},
pages = {1217--1234},
issn = {1078-0947},
mrclass = {35K55 (35B10 41A60 65N25 76V05)},
mrnumber = {2166666},
mrreviewer = {Claudia B. Lederman},
doi = {10.3934/dcds.2005.13.1217},
url = {https://doi.org/10.3934/dcds.2005.13.1217}
}
@Article{ noreddine.nourdin:11:on,
author = {Noreddine, Salim and Nourdin, Ivan},
title = {On the {G}aussian approximation of vector-valued multiple
integrals},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {102},
year = {2011},
number = {6},
pages = {1008--1017},
issn = {0047-259X},
mrclass = {60F05 (60G15 60H05 60H07)},
mrnumber = {2793872},
mrreviewer = {Mark Podolskij},
doi = {10.1016/j.jmva.2011.02.001},
url = {https://doi.org/10.1016/j.jmva.2011.02.001}
}
@Article{ normand.zambotti:11:uniqueness,
author = {Normand, Raoul and Zambotti, Lorenzo},
title = {Uniqueness of post-gelation solutions of a class of
coagulation equations},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {28},
year = {2011},
number = {2},
pages = {189--215},
issn = {0294-1449,1873-1430},
mrclass = {82D60 (45K05 60J80)},
mrnumber = {2784069},
mrreviewer = {Philippe\ Lauren\c{c}ot},
doi = {10.1016/j.anihpc.2010.10.005},
url = {https://doi.org/10.1016/j.anihpc.2010.10.005}
}
@Article{ norros.valkeila.ea:99:elementary,
author = {Norros, Ilkka and Valkeila, Esko and Virtamo, Jorma},
title = {An elementary approach to a {G}irsanov formula and other
analytical results on fractional {B}rownian motions},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {5},
year = {1999},
number = {4},
pages = {571--587},
issn = {1350-7265},
mrclass = {60G15 (60G30 60H99)},
mrnumber = {1704556},
mrreviewer = {Laurent Decreusefond},
doi = {10.2307/3318691},
url = {https://doi.org/10.2307/3318691}
}
@InCollection{ noumi.yamada:04:tropical,
author = {Noumi, Masatoshi and Yamada, Yasuhiko},
title = {Tropical {R}obinson-{S}chensted-{K}nuth correspondence and
birational {W}eyl group actions},
booktitle = {Representation theory of algebraic groups and quantum
groups},
series = {Adv. Stud. Pure Math.},
volume = {40},
pages = {371--442},
publisher = {Math. Soc. Japan, Tokyo},
year = {2004},
mrclass = {05E10 (20F55)},
mrnumber = {2074600},
doi = {10.2969/aspm/04010371},
url = {https://doi.org/10.2969/aspm/04010371}
}
@Article{ nourdin.nualart.ea:10:central,
author = {Nourdin, Ivan and Nualart, David and Tudor, Ciprian A.},
title = {Central and non-central limit theorems for weighted power
variations of fractional {B}rownian motion},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {46},
year = {2010},
number = {4},
pages = {1055--1079},
issn = {0246-0203},
mrclass = {60F05 (60G22 60H05 60H07)},
mrnumber = {2744886},
mrreviewer = {Ireneusz Szyszkowski},
doi = {10.1214/09-AIHP342},
url = {https://doi.org/10.1214/09-AIHP342}
}
@Article{ nourdin.nualart.ea:13:absolute,
author = {Nourdin, Ivan and Nualart, David and Poly, Guillaume},
title = {Absolute continuity and convergence of densities for
random vectors on {W}iener chaos},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {18},
year = {2013},
pages = {no. 22, 19},
mrclass = {60H07 (60F05 60G15 60H05)},
mrnumber = {3035750},
mrreviewer = {No\`elia Viles},
doi = {10.1214/EJP.v18-2181},
url = {https://doi.org/10.1214/EJP.v18-2181}
}
@Article{ nourdin.nualart.ea:16:multivariate,
author = {Nourdin, Ivan and Nualart, David and Zintout, Rola},
title = {Multivariate central limit theorems for averages of
fractional {V}olterra processes and applications to
parameter estimation},
journal = {Stat. Inference Stoch. Process.},
fjournal = {Statistical Inference for Stochastic Processes. An
International Journal Devoted to Time Series Analysis and
the Statistics of Continuous Time Processes and Dynamical
Systems},
volume = {19},
year = {2016},
number = {2},
pages = {219--234},
issn = {1387-0874},
mrclass = {60F05 (60G22 62F10)},
mrnumber = {3506633},
mrreviewer = {Christoph Th\"{a}le},
doi = {10.1007/s11203-015-9125-x},
url = {https://doi.org/10.1007/s11203-015-9125-x}
}
@Article{ nourdin.nualart.ea:16:quantitative,
author = {Nourdin, Ivan and Nualart, David and Peccati, Giovanni},
title = {Quantitative stable limit theorems on the {W}iener space},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {1},
pages = {1--41},
issn = {0091-1798},
mrclass = {60F05 (60G15 60H07)},
mrnumber = {3456331},
mrreviewer = {Lauri Viitasaari},
doi = {10.1214/14-AOP965},
url = {https://doi.org/10.1214/14-AOP965}
}
@Article{ nourdin.nualart.ea:16:strong,
author = {Nourdin, Ivan and Nualart, David and Peccati, Giovanni},
title = {Strong asymptotic independence on {W}iener chaos},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {144},
year = {2016},
number = {2},
pages = {875--886},
issn = {0002-9939},
mrclass = {60F05 (60G15 60H07)},
mrnumber = {3430861},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1090/proc12769},
url = {https://doi.org/10.1090/proc12769}
}
@Article{ nourdin.nualart.ea:21:breuer-major,
author = {Nourdin, Ivan and Nualart, David and Peccati, Giovanni},
title = {The {B}reuer-{M}ajor theorem in total variation: improved
rates under minimal regularity},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {131},
year = {2021},
pages = {1--20},
issn = {0304-4149},
mrclass = {60F05 (60G15 60H07)},
mrnumber = {4151212},
mrreviewer = {Daniel M. Harnett},
doi = {10.1016/j.spa.2020.08.007},
url = {https://doi.org/10.1016/j.spa.2020.08.007}
}
@Article{ nourdin.nualart:10:central,
author = {Nourdin, Ivan and Nualart, David},
title = {Central limit theorems for multiple {S}korokhod
integrals},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {23},
year = {2010},
number = {1},
pages = {39--64},
issn = {0894-9840},
mrclass = {60F05 (60G22 60H05 60H07)},
mrnumber = {2591903},
mrreviewer = {Maria Jolis},
doi = {10.1007/s10959-009-0258-y},
url = {https://doi.org/10.1007/s10959-009-0258-y}
}
@Article{ nourdin.nualart:16:fisher,
author = {Nourdin, Ivan and Nualart, David},
title = {Fisher information and the fourth moment theorem},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {52},
year = {2016},
number = {2},
pages = {849--867},
issn = {0246-0203},
mrclass = {60H07 (60F05 60G22 94A17)},
mrnumber = {3498012},
mrreviewer = {Peter Parczewski},
doi = {10.1214/14-AIHP656},
url = {https://doi.org/10.1214/14-AIHP656}
}
@Article{ nourdin.nualart:20:functional,
author = {Nourdin, Ivan and Nualart, David},
title = {The functional {B}reuer-{M}ajor theorem},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {176},
year = {2020},
number = {1-2},
pages = {203--218},
issn = {0178-8051},
mrclass = {60F17 (60H07)},
mrnumber = {4055189},
mrreviewer = {Yong Chen},
doi = {10.1007/s00440-019-00917-1},
url = {https://doi.org/10.1007/s00440-019-00917-1}
}
@Article{ nourdin.peccati.ea:09:second,
author = {Nourdin, Ivan and Peccati, Giovanni and Reinert, Gesine},
title = {Second order {P}oincar\'{e} inequalities and {CLT}s on
{W}iener space},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {257},
year = {2009},
number = {2},
pages = {593--609},
issn = {0022-1236},
mrclass = {60F17 (60G60 60H07)},
mrnumber = {2527030},
mrreviewer = {Emmanuelle Clement},
doi = {10.1016/j.jfa.2008.12.017},
url = {https://doi.org/10.1016/j.jfa.2008.12.017}
}
@Article{ nourdin.peccati.ea:10:invariance,
author = {Nourdin, Ivan and Peccati, Giovanni and Reinert, Gesine},
title = {Invariance principles for homogeneous sums: universality
of {G}aussian {W}iener chaos},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {5},
pages = {1947--1985},
issn = {0091-1798},
mrclass = {60F05 (60F17 60G15 60H07)},
mrnumber = {2722791},
doi = {10.1214/10-AOP531},
url = {https://doi.org/10.1214/10-AOP531}
}
@Article{ nourdin.peccati.ea:10:multivariate,
author = {Nourdin, Ivan and Peccati, Giovanni and R\'{e}veillac,
Anthony},
title = {Multivariate normal approximation using {S}tein's method
and {M}alliavin calculus},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {46},
year = {2010},
number = {1},
pages = {45--58},
issn = {0246-0203},
mrclass = {60F05 (60G15 60H07)},
mrnumber = {2641769},
mrreviewer = {Mark Podolskij},
doi = {10.1214/08-AIHP308},
url = {https://doi.org/10.1214/08-AIHP308}
}
@Article{ nourdin.peccati.ea:10:steins,
author = {Nourdin, Ivan and Peccati, Giovanni and Reinert, Gesine},
title = {Stein's method and stochastic analysis of {R}ademacher
functionals},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {15},
year = {2010},
pages = {no. 55, 1703--1742},
mrclass = {60F05 (60F99 60G50 60H07)},
mrnumber = {2735379},
mrreviewer = {Adrian R\"{o}llin},
doi = {10.1214/EJP.v15-843},
url = {https://doi.org/10.1214/EJP.v15-843}
}
@Article{ nourdin.peccati.ea:11:quantitative,
author = {Nourdin, Ivan and Peccati, Giovanni and Podolskij, Mark},
title = {Quantitative {B}reuer-{M}ajor theorems},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {4},
pages = {793--812},
issn = {0304-4149},
mrclass = {60F05 (60G15 60H05 60H07)},
mrnumber = {2770907},
mrreviewer = {Ireneusz Szyszkowski},
doi = {10.1016/j.spa.2010.12.006},
url = {https://doi.org/10.1016/j.spa.2010.12.006}
}
@InCollection{ nourdin.peccati.ea:13:multi-dimensional,
author = {Nourdin, Ivan and Peccati, Giovanni and Speicher, Roland},
title = {Multi-dimensional semicircular limits on the free {W}igner
chaos},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications {VII}},
series = {Progr. Probab.},
volume = {67},
pages = {211--221},
publisher = {Birkh\"{a}user/Springer, Basel},
year = {2013},
mrclass = {46L54 (60H05 60H07)},
mrnumber = {3380342},
mrreviewer = {Carlos Vargas Obieta}
}
@Article{ nourdin.peccati.ea:14:comparison,
author = {Nourdin, Ivan and Peccati, Giovanni and Viens, Frederi
G.},
title = {Comparison inequalities on {W}iener space},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {4},
pages = {1566--1581},
issn = {0304-4149},
mrclass = {60F05 (60G15 60H05 60H07)},
mrnumber = {3163213},
mrreviewer = {Jian Song},
doi = {10.1016/j.spa.2013.12.001},
url = {https://doi.org/10.1016/j.spa.2013.12.001}
}
@Article{ nourdin.peccati.ea:14:entropy,
author = {Nourdin, Ivan and Peccati, Giovanni and Swan, Yvik},
title = {Entropy and the fourth moment phenomenon},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {266},
year = {2014},
number = {5},
pages = {3170--3207},
issn = {0022-1236},
mrclass = {60F05 (60G15 60H07 62B10 94A17)},
mrnumber = {3158721},
mrreviewer = {Laure Coutin},
doi = {10.1016/j.jfa.2013.09.017},
url = {https://doi.org/10.1016/j.jfa.2013.09.017}
}
@Article{ nourdin.peccati.ea:16:classical,
author = {Nourdin, Ivan and Peccati, Giovanni and Poly, Guillaume
and Simone, Rosaria},
title = {Classical and free fourth moment theorems: universality
and thresholds},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {29},
year = {2016},
number = {2},
pages = {653--680},
issn = {0894-9840},
mrclass = {60F17 (46L54 60F05)},
mrnumber = {3500415},
doi = {10.1007/s10959-014-0590-8},
url = {https://doi.org/10.1007/s10959-014-0590-8}
}
@Article{ nourdin.peccati.ea:16:multidimensional,
author = {Nourdin, Ivan and Peccati, Giovanni and Poly, Guillaume
and Simone, Rosaria},
title = {Multidimensional limit theorems for homogeneous sums: a
survey and a general transfer principle},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {20},
year = {2016},
pages = {293--308},
issn = {1292-8100},
mrclass = {60F17 (60F05)},
mrnumber = {3533710},
mrreviewer = {Yizao Wang},
doi = {10.1051/ps/2016014},
url = {https://doi.org/10.1051/ps/2016014}
}
@Article{ nourdin.peccati.ea:19:berry-esseen,
author = {Nourdin, Ivan and Peccati, Giovanni and Yang, Xiaochuan},
title = {Berry-{E}sseen bounds in the {B}reuer-{M}ajor {CLT} and
{G}ebelein's inequality},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {24},
year = {2019},
pages = {Paper No. 34, 12},
mrclass = {60F05 (60G15 60H07)},
mrnumber = {3978683},
mrreviewer = {Ehsan Azmoodeh},
doi = {10.1214/19-ECP241},
url = {https://doi.org/10.1214/19-ECP241}
}
@Article{ nourdin.peccati.ea:19:nodal,
author = {Nourdin, Ivan and Peccati, Giovanni and Rossi, Maurizia},
title = {Nodal statistics of planar random waves},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {369},
year = {2019},
number = {1},
pages = {99--151},
issn = {0010-3616},
mrclass = {58J50 (60F05 60G60)},
mrnumber = {3959555},
mrreviewer = {Jos\'{e} Rafael Le\'{o}n},
doi = {10.1007/s00220-019-03432-5},
url = {https://doi.org/10.1007/s00220-019-03432-5}
}
@Article{ nourdin.peccati.ea:20:restricted,
author = {Nourdin, Ivan and Peccati, Giovanni and Yang, Xiaochuan},
title = {Restricted hypercontractivity on the {P}oisson space},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {148},
year = {2020},
number = {8},
pages = {3617--3632},
issn = {0002-9939},
mrclass = {60H07 (60E05 60E15)},
mrnumber = {4108865},
mrreviewer = {Daniel M. Harnett},
doi = {10.1090/proc/14964},
url = {https://doi.org/10.1090/proc/14964}
}
@Article{ nourdin.peccati.ea:20:sojourn,
author = {Nourdin, Ivan and Peccati, Giovanni and Seuret,
St\'{e}phane},
title = {Sojourn time dimensions of fractional {B}rownian motion},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {26},
year = {2020},
number = {3},
pages = {1619--1634},
issn = {1350-7265},
mrclass = {60G22 (28A80)},
mrnumber = {4091086},
mrreviewer = {Benjamin Arras},
doi = {10.3150/19-BEJ1105},
url = {https://doi.org/10.3150/19-BEJ1105}
}
@Article{ nourdin.peccati.ea:22:multivariate,
author = {Nourdin, Ivan and Peccati, Giovanni and Yang, Xiaochuan},
title = {Multivariate normal approximation on the {W}iener space:
new bounds in the convex distance},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {35},
year = {2022},
number = {3},
pages = {2020--2037},
issn = {0894-9840,1572-9230},
mrclass = {60F05 (60G15 60H07)},
mrnumber = {4488569},
mrreviewer = {Daniel\ M.\ Harnett},
doi = {10.1007/s10959-021-01112-6},
url = {https://doi.org/10.1007/s10959-021-01112-6}
}
@Article{ nourdin.peccati:08:weighted,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Weighted power variations of iterated {B}rownian motion},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
pages = {no. 43, 1229--1256},
mrclass = {60F05 (60G18 60K37)},
mrnumber = {2430706},
mrreviewer = {Endre Cs\'{a}ki},
doi = {10.1214/EJP.v13-534},
url = {https://doi.org/10.1214/EJP.v13-534}
}
@Article{ nourdin.peccati:09:noncentral,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Noncentral convergence of multiple integrals},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {4},
pages = {1412--1426},
issn = {0091-1798},
mrclass = {60F05 (60G15 60H05 60H07)},
mrnumber = {2546749},
mrreviewer = {Mark Podolskij},
doi = {10.1214/08-AOP435},
url = {https://doi.org/10.1214/08-AOP435}
}
@Article{ nourdin.peccati:09:steins,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Stein's method and exact {B}erry-{E}sseen asymptotics for
functionals of {G}aussian fields},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {6},
pages = {2231--2261},
issn = {0091-1798},
mrclass = {60F05 (60G15 60G60 60H05 60H07)},
mrnumber = {2573557},
mrreviewer = {Jean-Pierre Fouque},
doi = {10.1214/09-AOP461},
url = {https://doi.org/10.1214/09-AOP461}
}
@Article{ nourdin.peccati:09:steins*1,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Stein's method on {W}iener chaos},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {145},
year = {2009},
number = {1-2},
pages = {75--118},
issn = {0178-8051},
mrclass = {60F05 (60G05 60H07)},
mrnumber = {2520122},
mrreviewer = {Anthony R\'{e}veillac},
doi = {10.1007/s00440-008-0162-x},
url = {https://doi.org/10.1007/s00440-008-0162-x}
}
@Article{ nourdin.peccati:10:cumulants,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Cumulants on the {W}iener space},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {258},
year = {2010},
number = {11},
pages = {3775--3791},
issn = {0022-1236},
mrclass = {60G15 (60G60 60H07 60J65)},
mrnumber = {2606872},
mrreviewer = {Marco Dozzi},
doi = {10.1016/j.jfa.2009.10.024},
url = {https://doi.org/10.1016/j.jfa.2009.10.024}
}
@InCollection{ nourdin.peccati:10:steins,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Stein's method meets {M}alliavin calculus: a short survey
with new estimates},
booktitle = {Recent development in stochastic dynamics and stochastic
analysis},
series = {Interdiscip. Math. Sci.},
volume = {8},
pages = {207--236},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2010},
mrclass = {60F05 (60G22 60H05 60H07)},
mrnumber = {2807823},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1142/9789814277266\_0014},
url = {https://doi.org/10.1142/9789814277266_0014}
}
@Article{ nourdin.peccati:10:universal,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Universal {G}aussian fluctuations of non-{H}ermitian
matrix ensembles: from weak convergence to almost sure
{CLT}s},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {7},
year = {2010},
pages = {341--375},
mrclass = {60F05 (60B20 60G15 60H05 60H07)},
mrnumber = {2738319}
}
@Book{ nourdin.peccati:12:normal,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Normal approximations with {M}alliavin calculus},
series = {Cambridge Tracts in Mathematics},
volume = {192},
note = {From Stein's method to universality},
publisher = {Cambridge University Press, Cambridge},
year = {2012},
pages = {xiv+239},
isbn = {978-1-107-01777-1},
mrclass = {60H07 (60F05 60G15)},
mrnumber = {2962301},
mrreviewer = {David Nualart},
doi = {10.1017/CBO9781139084659},
url = {https://doi.org/10.1017/CBO9781139084659}
}
@Article{ nourdin.peccati:13:poisson,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Poisson approximations on the free {W}igner chaos},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {4},
pages = {2709--2723},
issn = {0091-1798},
mrclass = {46L54 (60H05 60H07 60H30)},
mrnumber = {3112929},
mrreviewer = {Vladislav Kargin},
doi = {10.1214/12-AOP815},
url = {https://doi.org/10.1214/12-AOP815}
}
@Article{ nourdin.peccati:15:optimal,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {The optimal fourth moment theorem},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {143},
year = {2015},
number = {7},
pages = {3123--3133},
issn = {0002-9939},
mrclass = {60F05 (60G15 60H07)},
mrnumber = {3336636},
mrreviewer = {Irina Gennadievna Shevtsova},
doi = {10.1090/S0002-9939-2015-12417-3},
url = {https://doi.org/10.1090/S0002-9939-2015-12417-3}
}
@InCollection{ nourdin.peccati:17:fourth,
author = {Nourdin, Ivan and Peccati, Giovanni},
title = {Fourth moments and products: unified estimates},
booktitle = {Convexity and concentration},
series = {IMA Vol. Math. Appl.},
volume = {161},
pages = {285--295},
publisher = {Springer, New York},
year = {2017},
mrclass = {60F05 (60G15 60G60 60H07 60J35)},
mrnumber = {3837275},
mrreviewer = {Daniel M. Harnett}
}
@Article{ nourdin.poly:12:convergence,
author = {Nourdin, Ivan and Poly, Guillaume},
title = {Convergence in law in the second {W}iener/{W}igner chaos},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {17},
year = {2012},
pages = {no. 36, 12},
mrclass = {60G15 (46L54 60F05 60H05)},
mrnumber = {2970700},
mrreviewer = {Takahiro Hasebe},
doi = {10.1214/ecp.v17-2023},
url = {https://doi.org/10.1214/ecp.v17-2023}
}
@Article{ nourdin.poly:12:erratum,
author = {Nourdin, Ivan and Poly, Guillaume},
title = {Erratum: {C}onvergence in law in the second
{W}iener/{W}igner chaos [MR2970700]},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {17},
year = {2012},
pages = {no. 54, 3},
mrclass = {60G15 (46L54 60F05 60H05)},
mrnumber = {2999982},
doi = {10.1214/ecp.v17-2383},
url = {https://doi.org/10.1214/ecp.v17-2383}
}
@Article{ nourdin.poly:13:convergence,
author = {Nourdin, Ivan and Poly, Guillaume},
title = {Convergence in total variation on {W}iener chaos},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {123},
year = {2013},
number = {2},
pages = {651--674},
issn = {0304-4149},
mrclass = {60F05 (60G15 60H05 60H07)},
mrnumber = {3003367},
doi = {10.1016/j.spa.2012.10.004},
url = {https://doi.org/10.1016/j.spa.2012.10.004}
}
@Article{ nourdin.poly:15:invariance,
author = {Nourdin, Ivan and Poly, Guillaume},
title = {An invariance principle under the total variation
distance},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {125},
year = {2015},
number = {6},
pages = {2190--2205},
issn = {0304-4149},
mrclass = {60F05 (60F17 60G50)},
mrnumber = {3322861},
doi = {10.1016/j.spa.2014.12.010},
url = {https://doi.org/10.1016/j.spa.2014.12.010}
}
@InCollection{ nourdin.poly:16:convergence,
author = {Nourdin, Ivan and Poly, Guillaume},
title = {Convergence in law implies convergence in total variation
for polynomials in independent {G}aussian, gamma or beta
random variables},
booktitle = {High dimensional probability {VII}},
series = {Progr. Probab.},
volume = {71},
pages = {381--394},
publisher = {Springer, [Cham]},
year = {2016},
mrclass = {60B10 (60F05)},
mrnumber = {3565273},
mrreviewer = {V. Paulauskas},
doi = {10.1007/978-3-319-40519-3\_17},
url = {https://doi.org/10.1007/978-3-319-40519-3_17}
}
@Article{ nourdin.pu:22:gaussian,
author = {Nourdin, Ivan and Pu, Fei},
title = {Gaussian fluctuation for {G}aussian {W}ishart matrices of
overall correlation},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {181},
year = {2022},
pages = {Paper No. 109269, 11},
issn = {0167-7152},
mrclass = {60B20 (60F05 60G22 60H07)},
mrnumber = {4329126},
doi = {10.1016/j.spl.2021.109269},
url = {https://doi.org/10.1016/j.spl.2021.109269}
}
@Article{ nourdin.reveillac.ea:10:weak,
author = {Nourdin, Ivan and R\'{e}veillac, Anthony and Swanson,
Jason},
title = {The weak {S}tratonovich integral with respect to
fractional {B}rownian motion with {H}urst parameter
{$1/6$}},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {15},
year = {2010},
pages = {no. 70, 2117--2162},
mrclass = {60H05 (60F05 60G22 60H07)},
mrnumber = {2745728},
mrreviewer = {Fabrice Baudoin},
doi = {10.1214/EJP.v15-843},
url = {https://doi.org/10.1214/EJP.v15-843}
}
@Article{ nourdin.reveillac:09:asymptotic,
author = {Nourdin, Ivan and R\'{e}veillac, Anthony},
title = {Asymptotic behavior of weighted quadratic variations of
fractional {B}rownian motion: the critical case {$H=1/4$}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {6},
pages = {2200--2230},
issn = {0091-1798},
mrclass = {60F05 (60G22 60H05 60H07)},
mrnumber = {2573556},
doi = {10.1214/09-AOP473},
url = {https://doi.org/10.1214/09-AOP473}
}
@Article{ nourdin.rosinski:14:asymptotic,
author = {Nourdin, Ivan and Rosi\'{n}ski, Jan},
title = {Asymptotic independence of multiple {W}iener-{I}t\^{o}
integrals and the resulting limit laws},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {2},
pages = {497--526},
issn = {0091-1798},
mrclass = {60F05 (60G15 60H05 60H07)},
mrnumber = {3178465},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1214/12-AOP826},
url = {https://doi.org/10.1214/12-AOP826}
}
@Article{ nourdin.simon:06:on,
author = {Nourdin, Ivan and Simon, Thomas},
title = {On the absolute continuity of {L}\'{e}vy processes with
drift},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {3},
pages = {1035--1051},
issn = {0091-1798},
mrclass = {60G51 (60H10)},
mrnumber = {2243878},
mrreviewer = {Tina M. Marquardt},
doi = {10.1214/009117905000000620},
url = {https://doi.org/10.1214/009117905000000620}
}
@Article{ nourdin.simon:06:on*1,
author = {Nourdin, Ivan and Simon, Thomas},
title = {On the absolute continuity of one-dimensional {SDE}s
driven by a fractional {B}rownian motion},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {76},
year = {2006},
number = {9},
pages = {907--912},
issn = {0167-7152},
mrclass = {60G18 (60H10)},
mrnumber = {2268434},
mrreviewer = {Andreas Neuenkirch},
doi = {10.1016/j.spl.2005.10.021},
url = {https://doi.org/10.1016/j.spl.2005.10.021}
}
@Article{ nourdin.simon:07:correcting,
author = {Nourdin, Ivan and Simon, Thomas},
title = {Correcting {N}ewton-{C}\^{o}tes integrals by {L}\'{e}vy
areas},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {13},
year = {2007},
number = {3},
pages = {695--711},
issn = {1350-7265},
mrclass = {60H05 (65D30)},
mrnumber = {2348747},
doi = {10.3150/07-BEJ6015},
url = {https://doi.org/10.3150/07-BEJ6015}
}
@Article{ nourdin.taqqu:14:central,
author = {Nourdin, Ivan and Taqqu, Murad S.},
title = {Central and non-central limit theorems in a free
probability setting},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {27},
year = {2014},
number = {1},
pages = {220--248},
issn = {0894-9840},
mrclass = {46L54 (60F05 60G18 60H05)},
mrnumber = {3174224},
mrreviewer = {S\"{o}ren M\"{o}ller},
doi = {10.1007/s10959-012-0443-2},
url = {https://doi.org/10.1007/s10959-012-0443-2}
}
@Article{ nourdin.tran:19:statistical,
author = {Nourdin, Ivan and Tran, T. T. Diu},
title = {Statistical inference for {V}asicek-type model driven by
{H}ermite processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {129},
year = {2019},
number = {10},
pages = {3774--3791},
issn = {0304-4149},
mrclass = {60G18 (60H10 62F10 62F12)},
mrnumber = {3997661},
mrreviewer = {Georgiy M. Shevchenko},
doi = {10.1016/j.spa.2018.10.005},
url = {https://doi.org/10.1016/j.spa.2018.10.005}
}
@Article{ nourdin.tudor:06:some,
author = {Nourdin, Ivan and Tudor, Ciprian A.},
title = {Some linear fractional stochastic equations},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {78},
year = {2006},
number = {2},
pages = {51--65},
issn = {1744-2508},
mrclass = {60H10 (60H07 60H20)},
mrnumber = {2236631},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1080/17442500600688997},
url = {https://doi.org/10.1080/17442500600688997}
}
@Article{ nourdin.viens:09:density,
author = {Nourdin, Ivan and Viens, Frederi G.},
title = {Density formula and concentration inequalities with
{M}alliavin calculus},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {14},
year = {2009},
pages = {no. 78, 2287--2309},
mrclass = {60G15 (60H07)},
mrnumber = {2556018},
mrreviewer = {Luigi Manca},
doi = {10.1214/EJP.v14-707},
url = {https://doi.org/10.1214/EJP.v14-707}
}
@Article{ nourdin.zeineddine:14:ito-type,
author = {Nourdin, Ivan and Zeineddine, Raghid},
title = {An {I}t\^{o}-type formula for the fractional {B}rownian
motion in {B}rownian time},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
pages = {No. 99, 15},
mrclass = {60G22 (60F05 60G15 60H05 60H07)},
mrnumber = {3305825},
mrreviewer = {Peter Parczewski},
doi = {10.1214/EJP.v19-3184},
url = {https://doi.org/10.1214/EJP.v19-3184}
}
@InCollection{ nourdin.zheng:19:exchangeable,
author = {Nourdin, Ivan and Zheng, Guangqu},
title = {Exchangeable pairs on {W}iener chaos},
booktitle = {High dimensional probability {VIII}---the {O}axaca
volume},
series = {Progr. Probab.},
volume = {74},
pages = {277--303},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {[2019] \copyright 2019},
mrclass = {60F05 (60G09 60H07)},
mrnumber = {4181370},
doi = {10.1007/978-3-030-26391-1\_14},
url = {https://doi.org/10.1007/978-3-030-26391-1_14}
}
@Article{ nourdin.zheng:22:asymptotic,
author = {Nourdin, Ivan and Zheng, Guangqu},
title = {Asymptotic behavior of large {G}aussian correlated
{W}ishart matrices},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {35},
year = {2022},
number = {4},
pages = {2239--2268},
issn = {0894-9840,1572-9230},
mrclass = {60B20 (60F05 60G22 60H07)},
mrnumber = {4509068},
doi = {10.1007/s10959-021-01133-1},
url = {https://doi.org/10.1007/s10959-021-01133-1}
}
@Article{ nourdin.zintout:16:cross-variation,
author = {Nourdin, Ivan and Zintout, Rola},
title = {Cross-variation of {Y}oung integral with respect to
long-memory fractional {B}rownian motions},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {36},
year = {2016},
number = {1},
pages = {35--46},
issn = {0208-4147},
mrclass = {60F05 (60F17 60G22)},
mrnumber = {3529338},
mrreviewer = {Fangjun Xu},
doi = {10.1109/mcs.2015.2495000},
url = {https://doi.org/10.1109/mcs.2015.2495000}
}
@Article{ nourdin:05:schemas,
author = {Nourdin, Ivan},
title = {Sch\'{e}mas d'approximation associ\'{e}s \`a une
\'{e}quation diff\'{e}rentielle dirig\'{e}e par une
fonction h\"{o}ld\'{e}rienne; cas du mouvement brownien
fractionnaire},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {340},
year = {2005},
number = {8},
pages = {611--614},
issn = {1631-073X,1778-3569},
mrclass = {60G15 (60H10)},
mrnumber = {2138713},
mrreviewer = {Anne\ Estrade},
doi = {10.1016/j.crma.2005.03.013},
url = {https://doi.org/10.1016/j.crma.2005.03.013}
}
@Article{ nourdin:08:asymptotic,
author = {Nourdin, Ivan},
title = {Asymptotic behavior of weighted quadratic and cubic
variations of fractional {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {36},
year = {2008},
number = {6},
pages = {2159--2175},
issn = {0091-1798},
mrclass = {60F05 (60G15 60H07)},
mrnumber = {2478679},
doi = {10.1214/07-AOP385},
url = {https://doi.org/10.1214/07-AOP385}
}
@InCollection{ nourdin:08:simple,
author = {Nourdin, Ivan},
title = {A simple theory for the study of {SDE}s driven by a
fractional {B}rownian motion, in dimension one},
booktitle = {S\'{e}minaire de probabilit\'{e}s {XLI}},
series = {Lecture Notes in Math.},
volume = {1934},
pages = {181--197},
publisher = {Springer, Berlin},
year = {2008},
mrclass = {60H10 (60G18 60H05 60H20 60J65)},
mrnumber = {2483731},
mrreviewer = {Andreas Neuenkirch},
doi = {10.1007/978-3-540-77913-1\_8},
url = {https://doi.org/10.1007/978-3-540-77913-1_8}
}
@Article{ nourdin:09:change,
author = {Nourdin, Ivan},
title = {A change of variable formula for the 2{D} fractional
{B}rownian motion of {H}urst index bigger or equal to
{$1/4$}},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {256},
year = {2009},
number = {7},
pages = {2304--2320},
issn = {0022-1236},
mrclass = {60G22 (60F05 60G18 60G60 60H05)},
mrnumber = {2498767},
mrreviewer = {Jos\'{e} Rafael Le\'{o}n},
doi = {10.1016/j.jfa.2008.10.005},
url = {https://doi.org/10.1016/j.jfa.2008.10.005}
}
@Article{ nourdin:11:yet,
author = {Nourdin, Ivan},
title = {Yet another proof of the {N}ualart-{P}eccati criterion},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {16},
year = {2011},
pages = {467--481},
mrclass = {46L54 (60H05 60H07 60H30)},
mrnumber = {2831085},
mrreviewer = {Vladimir I. Bogachev},
doi = {10.1214/ECP.v16-1642},
url = {https://doi.org/10.1214/ECP.v16-1642}
}
@Book{ nourdin:12:selected,
author = {Nourdin, Ivan},
title = {Selected aspects of fractional {B}rownian motion},
series = {Bocconi \& Springer Series},
volume = {4},
publisher = {Springer, Milan; Bocconi University Press, Milan},
year = {2012},
pages = {x+122},
isbn = {978-88-470-2822-7; 978-88-470-2823-4},
mrclass = {60G15 (46L54 60F05 60G22 60H07)},
mrnumber = {3076266},
mrreviewer = {Laurent Decreusefond},
doi = {10.1007/978-88-470-2823-4},
url = {https://doi.org/10.1007/978-88-470-2823-4}
}
@InCollection{ nourdin:13:lectures,
author = {Nourdin, Ivan},
title = {Lectures on {G}aussian approximations with {M}alliavin
calculus},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s {XLV}},
series = {Lecture Notes in Math.},
volume = {2078},
pages = {3--89},
publisher = {Springer, Cham},
year = {2013},
mrclass = {60H07 (60-02 60F05)},
mrnumber = {3185909},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1007/978-3-319-00321-4\_1},
url = {https://doi.org/10.1007/978-3-319-00321-4_1}
}
@Article{ nualart-i-rodon:03:brownian,
author = {Nualart I Rod\'{o}n, David},
title = {Brownian motion and financial markets},
journal = {Mem. Real Acad. Cienc. Artes Barcelona},
fjournal = {Memorias de la Real Academia de Ciencias y Artes de
Barcelona},
volume = {60},
year = {2003},
number = {9},
pages = {311--339},
issn = {0368-8283},
mrclass = {60J65 (91B28)},
mrnumber = {2224390}
}
@Article{ nualart-rodon.aguilar-martin:77:estimation,
author = {Nualart Rod\'{o}n, David and Aguilar-Martin, Joseph},
title = {Estimation optimale en puissances de degr\'{e} {$N$}},
journal = {C. R. Acad. Sci. Paris S\'{e}r. A-B},
fjournal = {Comptes Rendus Hebdomadaires des S\'{e}ances de
l'Acad\'{e}mie des Sciences. S\'{e}ries A et B},
volume = {284},
year = {1977},
number = {1},
pages = {A81--A83},
issn = {0151-0509},
mrclass = {62J05},
mrnumber = {428626}
}
@Article{ nualart-rodon.sanz-sole:76:integrales,
author = {Nualart Rod\'{o}n, D. and Sanz Sol\'{e}, M.},
title = {Int\'{e}grales stochastiques par rapport au processus de
{W}iener \`a deux param\`etres},
note = {\'{E}cole d'\'{E}t\'{e} de Calcul des Probabilit\'{e}s de
Saint-Flour (Saint-Flour, 1976)},
journal = {Ann. Sci. Univ. Clermont No. 61 Math.},
number = {16},
year = {1976},
pages = {89--99},
mrclass = {60H05},
mrnumber = {0517987},
mrreviewer = {M. Metivier}
}
@Article{ nualart-rodon:75:contribution,
author = {Nualart Rod\'{o}n, David},
title = {Contribution to the study of the stochastic integral},
journal = {Stochastica},
fjournal = {Stochastica},
volume = {1},
year = {1975/76},
number = {2},
pages = {21--34},
issn = {0210-7821},
mrclass = {60H05},
mrnumber = {438480},
mrreviewer = {Maurizio Pratelli}
}
@InCollection{ nualart.aguilar-martin:80:generalized,
author = {Nualart, D. and Aguilar-Martin, J.},
title = {Generalized wide sense {M}arkov processes and quadratic
dynamical discrete systems},
booktitle = {Second {I}nternational {C}onference on {I}nformation
{S}ciences and {S}ystems ({U}niv. {P}atras, {P}atras,
1979), {V}ol. {II}},
pages = {411--423},
publisher = {Reidel, Dordrecht-Boston, Mass.},
year = {1980},
mrclass = {93E11},
mrnumber = {616107}
}
@Book{ nualart.nualart:18:introduction,
author = {Nualart, David and Nualart, Eulalia},
title = {Introduction to {M}alliavin calculus},
series = {Institute of Mathematical Statistics Textbooks},
volume = {9},
publisher = {Cambridge University Press, Cambridge},
year = {2018},
pages = {xii+236},
isbn = {978-1-107-61198-6; 978-1-107-03912-4},
mrclass = {60-01 (60H07 60J65 60J75)},
mrnumber = {3838464},
mrreviewer = {Maria Gordina},
doi = {10.1017/9781139856485},
url = {https://doi.org/10.1017/9781139856485}
}
@Article{ nualart.ortiz-latorre:07:intersection,
author = {Nualart, David and Ortiz-Latorre, Salvador},
title = {Intersection local time for two independent fractional
{B}rownian motions},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {20},
year = {2007},
number = {4},
pages = {759--767},
issn = {0894-9840},
mrclass = {60G15 (60F25 60G18 60J55)},
mrnumber = {2359054},
mrreviewer = {Samy Tindel},
doi = {10.1007/s10959-007-0106-x},
url = {https://doi.org/10.1007/s10959-007-0106-x}
}
@Article{ nualart.ortiz-latorre:08:central,
author = {Nualart, D. and Ortiz-Latorre, S.},
title = {Central limit theorems for multiple stochastic integrals
and {M}alliavin calculus},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {118},
year = {2008},
number = {4},
pages = {614--628},
issn = {0304-4149},
mrclass = {60F05 (60G15 60H05 60H07)},
mrnumber = {2394845},
mrreviewer = {Giovanni Peccati},
doi = {10.1016/j.spa.2007.05.004},
url = {https://doi.org/10.1016/j.spa.2007.05.004}
}
@Article{ nualart.ortiz-latorre:08:ito-stratonovich,
author = {Nualart, D. and Ortiz-Latorre, S.},
title = {An {I}t\^{o}-{S}tratonovich formula for {G}aussian
processes: a {R}iemann sums approach},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {118},
year = {2008},
number = {10},
pages = {1803--1819},
issn = {0304-4149},
mrclass = {60H07 (60G15)},
mrnumber = {2454465},
mrreviewer = {Laurent Decreusefond},
doi = {10.1016/j.spa.2007.11.002},
url = {https://doi.org/10.1016/j.spa.2007.11.002}
}
@InCollection{ nualart.ortiz-latorre:11:multidimensional,
author = {Nualart, D. and Ortiz-Latorre, S.},
title = {Multidimensional {W}ick-{I}t\^{o} formula for {G}aussian
processes},
booktitle = {Stochastic analysis, stochastic systems, and applications
to finance},
pages = {3--26},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2011},
mrclass = {60H05 (60G15 60G22 60H07 91G20)},
mrnumber = {2884564},
mrreviewer = {Christel Geiss},
doi = {10.1142/9789814355711\_0001},
url = {https://doi.org/10.1142/9789814355711_0001}
}
@Article{ nualart.ouknine:02:regularization,
author = {Nualart, David and Ouknine, Youssef},
title = {Regularization of differential equations by fractional
noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {102},
year = {2002},
number = {1},
pages = {103--116},
issn = {0304-4149},
mrclass = {60H10 (60G15 60H07)},
mrnumber = {1934157},
mrreviewer = {Philip Protter},
doi = {10.1016/S0304-4149(02)00155-2},
url = {https://doi.org/10.1016/S0304-4149(02)00155-2}
}
@Article{ nualart.ouknine:03:besov,
author = {Nualart, David and Ouknine, Youssef},
title = {Besov regularity of stochastic integrals with respect to
the fractional {B}rownian motion with parameter {$H>1/2$}},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {16},
year = {2003},
number = {2},
pages = {451--470},
issn = {0894-9840},
mrclass = {60H05 (60G15)},
mrnumber = {1982038},
mrreviewer = {Anne Estrade},
doi = {10.1023/A:1023530929480},
url = {https://doi.org/10.1023/A:1023530929480}
}
@InCollection{ nualart.ouknine:03:stochastic,
author = {Nualart, David and Ouknine, Youssef},
title = {Stochastic differential equations with additive fractional
noise and locally unbounded drift},
booktitle = {Stochastic inequalities and applications},
series = {Progr. Probab.},
volume = {56},
pages = {353--365},
publisher = {Birkh\"{a}user, Basel},
year = {2003},
mrclass = {60H10 (34F05 60G18)},
mrnumber = {2073441},
mrreviewer = {Volker Wihstutz}
}
@Article{ nualart.ouknine:04:regularization,
author = {Nualart, David and Ouknine, Youssef},
title = {Regularization of quasilinear heat equations by a
fractional noise},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {4},
year = {2004},
number = {2},
pages = {201--221},
issn = {0219-4937},
mrclass = {60H15 (35R60 60G18)},
mrnumber = {2069689},
mrreviewer = {Samy Tindel},
doi = {10.1142/S0219493704001012},
url = {https://doi.org/10.1142/S0219493704001012}
}
@Article{ nualart.pardoux:88:stochastic,
author = {Nualart, D. and Pardoux, \'{E}.},
title = {Stochastic calculus with anticipating integrands},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {78},
year = {1988},
number = {4},
pages = {535--581},
issn = {0178-8051},
mrclass = {60H05 (60H07)},
mrnumber = {950346},
mrreviewer = {Halim Doss},
doi = {10.1007/BF00353876},
url = {https://doi.org/10.1007/BF00353876}
}
@Article{ nualart.pardoux:91:boundary,
author = {Nualart, D. and Pardoux, \'{E}.},
title = {Boundary value problems for stochastic differential
equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {19},
year = {1991},
number = {3},
pages = {1118--1144},
issn = {0091-1798},
mrclass = {60H10 (34B15 34F05)},
mrnumber = {1112409},
mrreviewer = {Denis R. Bell},
url = {http://links.jstor.org/sici?sici=0091-1798(199107)19:3<1118:BVPFSD>2.0.CO;2-B&origin=MSN}
}
@Article{ nualart.pardoux:91:second,
author = {Nualart, David and Pardoux, \'{E}tienne},
title = {Second order stochastic differential equations with
{D}irichlet boundary conditions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {39},
year = {1991},
number = {1},
pages = {1--24},
issn = {0304-4149},
mrclass = {60H10 (34F05)},
mrnumber = {1135081},
mrreviewer = {Mireille Chaleyat-Maurel},
doi = {10.1016/0304-4149(91)90028-B},
url = {https://doi.org/10.1016/0304-4149(91)90028-B}
}
@InCollection{ nualart.pardoux:91:stochastic,
author = {Nualart, David and Pardoux, \'{E}tienne},
title = {Stochastic differential equations with boundary
conditions},
booktitle = {Stochastic analysis and applications ({L}isbon, 1989)},
series = {Progr. Probab.},
volume = {26},
pages = {155--175},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1991},
mrclass = {60H07 (60H10)},
mrnumber = {1168074},
mrreviewer = {Daniel Ocone}
}
@Article{ nualart.pardoux:92:white,
author = {Nualart, D. and Pardoux, \'{E}.},
title = {White noise driven quasilinear {SPDE}s with reflection},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {93},
year = {1992},
number = {1},
pages = {77--89},
issn = {0178-8051},
mrclass = {60H15 (35R60 49J40)},
mrnumber = {1172940},
mrreviewer = {Ralf Manthey},
doi = {10.1007/BF01195389},
url = {https://doi.org/10.1007/BF01195389}
}
@Article{ nualart.pardoux:94:markov,
author = {Nualart, D. and Pardoux, E.},
title = {Markov field properties of solutions of white noise driven
quasi-linear parabolic {PDE}s},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {48},
year = {1994},
number = {1-2},
pages = {17--44},
issn = {1045-1129},
mrclass = {60H15 (60H40 60J25)},
mrnumber = {1786190},
doi = {10.1080/17442509408833896},
url = {https://doi.org/10.1080/17442509408833896}
}
@Article{ nualart.peccati:05:central,
author = {Nualart, David and Peccati, Giovanni},
title = {Central limit theorems for sequences of multiple
stochastic integrals},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {1},
pages = {177--193},
issn = {0091-1798},
mrclass = {60F05 (60H05)},
mrnumber = {2118863},
mrreviewer = {Rimas Norvai\v{s}a},
doi = {10.1214/009117904000000621},
url = {https://doi.org/10.1214/009117904000000621}
}
@Article{ nualart.perez-abreu:14:on,
author = {Nualart, David and P\'{e}rez-Abreu, Victor},
title = {On the eigenvalue process of a matrix fractional
{B}rownian motion},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {12},
pages = {4266--4282},
issn = {0304-4149},
mrclass = {60H05 (60G22 60H07)},
mrnumber = {3264448},
mrreviewer = {Mireia Besal\'{u}},
doi = {10.1016/j.spa.2014.07.017},
url = {https://doi.org/10.1016/j.spa.2014.07.017}
}
@Article{ nualart.protter:96:skorohod,
author = {Nualart, David and Protter, Philip},
title = {Skorohod integral of a product of two stochastic
processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {9},
year = {1996},
number = {4},
pages = {1029--1037},
issn = {0894-9840},
mrclass = {60H07},
mrnumber = {1419875},
mrreviewer = {Axel Ernest Grorud},
doi = {10.1007/BF02214263},
url = {https://doi.org/10.1007/BF02214263}
}
@Article{ nualart.quer-sardanyons:07:existence,
author = {Nualart, David and Quer-Sardanyons, Llu\'{i}s},
title = {Existence and smoothness of the density for spatially
homogeneous {SPDE}s},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {27},
year = {2007},
number = {3},
pages = {281--299},
issn = {0926-2601},
mrclass = {60H07 (60H15)},
mrnumber = {2336301},
mrreviewer = {David M\'{a}rquez-Carreras},
doi = {10.1007/s11118-007-9055-3},
url = {https://doi.org/10.1007/s11118-007-9055-3}
}
@Article{ nualart.quer-sardanyons:09:gaussian,
author = {Nualart, David and Quer-Sardanyons, Llu\'{i}s},
title = {Gaussian density estimates for solutions to quasi-linear
stochastic partial differential equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {11},
pages = {3914--3938},
issn = {0304-4149},
mrclass = {60H15 (35R60 60G15 60H07)},
mrnumber = {2552310},
mrreviewer = {Michal Vyoral},
doi = {10.1016/j.spa.2009.09.001},
url = {https://doi.org/10.1016/j.spa.2009.09.001}
}
@Article{ nualart.quer-sardanyons:11:optimal,
author = {Nualart, David and Quer-Sardanyons, Llu\'{i}s},
title = {Optimal {G}aussian density estimates for a class of
stochastic equations with additive noise},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {14},
year = {2011},
number = {1},
pages = {25--34},
issn = {0219-0257},
mrclass = {60H07 (60H15)},
mrnumber = {2785746},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1142/S0219025711004286},
url = {https://doi.org/10.1142/S0219025711004286}
}
@Article{ nualart.quer-sardanyons:12:gaussian,
author = {Nualart, Eulalia and Quer-Sardanyons, Llu\'{i}s},
title = {Gaussian estimates for the density of the non-linear
stochastic heat equation in any space dimension},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {1},
pages = {418--447},
issn = {0304-4149},
mrclass = {60H15 (60H07)},
mrnumber = {2860455},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1016/j.spa.2011.08.013},
url = {https://doi.org/10.1016/j.spa.2011.08.013}
}
@Article{ nualart.rovira.ea:01:probabilistic,
author = {Nualart, D. and Rovira, C. and Tindel, S.},
title = {Probabilistic models for vortex filaments based on
fractional {B}rownian motion},
journal = {RACSAM. Rev. R. Acad. Cienc. Exactas F\'{i}s. Nat. Ser. A
Mat.},
fjournal = {Revista de la Real Academia de Ciencias Exactas,
F\'{i}sicas y Naturales. Serie A. Matem\'{a}ticas. RACSAM},
volume = {95},
year = {2001},
number = {2},
pages = {213--218},
issn = {1578-7303},
mrclass = {60H07 (60H05 76F02 76M35)},
mrnumber = {1902426},
mrreviewer = {Nicolas Privault}
}
@Article{ nualart.rovira.ea:03:probabilistic,
author = {Nualart, David and Rovira, Carles and Tindel, Samy},
title = {Probabilistic models for vortex filaments based on
fractional {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {4},
pages = {1862--1899},
issn = {0091-1798},
mrclass = {76M35 (60G15 60H05 76F55)},
mrnumber = {2016603},
mrreviewer = {Christophe Giraud},
doi = {10.1214/aop/1068646369},
url = {https://doi.org/10.1214/aop/1068646369}
}
@Article{ nualart.rovira:00:large,
author = {Nualart, David and Rovira, Carles},
title = {Large deviations for stochastic {V}olterra equations},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {6},
year = {2000},
number = {2},
pages = {339--355},
issn = {1350-7265},
mrclass = {60F10 (60H20)},
mrnumber = {1748725},
mrreviewer = {Eddy Mayer-Wolf},
doi = {10.2307/3318580},
url = {https://doi.org/10.2307/3318580}
}
@Article{ nualart.rozovskii:97:weighted,
author = {Nualart, David and Rozovskii, Boris},
title = {Weighted stochastic {S}obolev spaces and bilinear {SPDE}s
driven by space-time white noise},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {149},
year = {1997},
number = {1},
pages = {200--225},
issn = {0022-1236},
mrclass = {60H15 (35R60 46E50 60G20)},
mrnumber = {1471105},
mrreviewer = {Jan Ub\o e},
doi = {10.1006/jfan.1996.3091},
url = {https://doi.org/10.1006/jfan.1996.3091}
}
@Article{ nualart.ruascanu.ea:02:differential,
author = {Nualart, David and Ru{a}\c{s}canu, Aurel and
Ru{a}\c{s}canu, Aurel},
title = {Differential equations driven by fractional {B}rownian
motion},
journal = {Collect. Math.},
fjournal = {Universitat de Barcelona. Collectanea Mathematica},
volume = {53},
year = {2002},
number = {1},
pages = {55--81},
issn = {0010-0757},
mrclass = {60H10 (60H05 60H07)},
mrnumber = {1893308},
mrreviewer = {Rainer Buckdahn}
}
@Article{ nualart.sanz.ea:90:on,
author = {Nualart, D. and Sanz, M. and Zakai, M.},
title = {On the relations between increasing functions associated
with two-parameter continuous martingales},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {34},
year = {1990},
number = {1},
pages = {99--119},
issn = {0304-4149},
mrclass = {60G44 (60G60)},
mrnumber = {1039564},
mrreviewer = {Yu. S. Mishura},
doi = {10.1016/0304-4149(90)90058-Z},
url = {https://doi.org/10.1016/0304-4149(90)90058-Z}
}
@Article{ nualart.sanz:79:caracterisation,
author = {Nualart, David and Sanz, Marta},
title = {Caract\'{e}risation des martingales \`a deux param\`etres
ind\'{e}pendantes du chemin},
note = {8e \'{E}cole d'\'{E}t\'{e} de Calcul des Probabilit\'{e}s
de Saint-Flour (Saint-Flour, 1978)},
journal = {Ann. Sci. Univ. Clermont Math.},
fjournal = {Annales Scientifiques de l'Universit\'{e} de Clermont.
S\'{e}rie Math\'{e}matique},
number = {17},
year = {1979},
pages = {96--104},
mrclass = {60G44},
mrnumber = {538010}
}
@Article{ nualart.sanz:79:markov,
author = {Nualart, D. and Sanz, M.},
title = {A {M}arkov property for two-parameter {G}aussian
processes},
journal = {Stochastica},
fjournal = {Stochastica},
volume = {3},
year = {1979},
number = {1},
pages = {1--16},
issn = {0210-7821},
mrclass = {60J25 (60G60)},
mrnumber = {562437},
mrreviewer = {M. Zakai}
}
@InProceedings{ nualart.sanz:80:conditional,
author = {Nualart, David and Sanz, Marta},
title = {The conditional independence property in filtrations
associated to stopping lines},
booktitle = {Proceedings of the seventh {S}panish-{P}ortuguese
conference on mathematics, {P}art {III} ({S}ant {F}eliu de
{G}u\'{i}xois, 1980)},
journal = {Publ. Sec. Mat. Univ. Aut\`onoma Barcelona},
fjournal = {Publicacions de la Secci\'{o} de Matem\`atiques.
Universitat Aut\`onoma de Barcelona},
number = {22},
year = {1980},
pages = {173--176},
issn = {0210-2978},
mrclass = {60G40},
mrnumber = {768406}
}
@InProceedings{ nualart.sanz:80:random,
author = {Nualart, D. and Sanz, M.},
title = {Random {G}aussian {M}arkov fields},
booktitle = {Proceedings of the {F}irst {W}orld {C}onference on
{M}athematics at the {S}ervice of {M}an ({B}arcelona,
1977), {V}ol. {I}},
pages = {629--642},
publisher = {Univ. Politec., Barcelona},
year = {1980},
mrclass = {60G60 (60J60)},
mrnumber = {601997},
mrreviewer = {J. Szpirglas}
}
@Article{ nualart.sanz:81:changing,
author = {Nualart, D. and Sanz, M.},
title = {Changing time for two-parameter strong martingales},
journal = {Ann. Inst. H. Poincar\'{e} Sect. B (N.S.)},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Section B.
Calcul des Probabilit\'{e}s et Statistique. Nouvelle
S\'{e}rie},
volume = {17},
year = {1981},
number = {2},
pages = {147--163},
issn = {0020-2347},
mrclass = {60G40 (60G44 60G60 60J65)},
mrnumber = {625336},
mrreviewer = {L. Sucheston}
}
@InCollection{ nualart.sanz:81:conditional,
author = {Nualart, D. and Sanz, M.},
title = {The conditional independence property in filtrations
associated to stopping lines},
booktitle = {Two-index random processes ({P}aris, 1980)},
series = {Lecture Notes in Math.},
volume = {863},
pages = {202--210},
publisher = {Springer, Berlin},
year = {1981},
mrclass = {60G40},
mrnumber = {630314},
mrreviewer = {Bernard Prum}
}
@Article{ nualart.sanz:82:singular,
author = {Nualart, David and Sanz, Marta},
title = {A singular stochastic integral equation},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {86},
year = {1982},
number = {1},
pages = {139--142},
issn = {0002-9939},
mrclass = {60H20 (60H05)},
mrnumber = {663883},
mrreviewer = {Maurizio Pratelli},
doi = {10.2307/2044413},
url = {https://doi.org/10.2307/2044413}
}
@Article{ nualart.sanz:85:malliavin,
author = {Nualart, D. and Sanz, M.},
title = {Malliavin calculus for two-parameter {W}iener
functionals},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {70},
year = {1985},
number = {4},
pages = {573--590},
issn = {0044-3719},
mrclass = {60H15 (58G32 60G60)},
mrnumber = {807338},
mrreviewer = {M. Zakai},
doi = {10.1007/BF00531868},
url = {https://doi.org/10.1007/BF00531868}
}
@Article{ nualart.sanz:85:malliavin*1,
author = {Nualart, D. and Sanz, M.},
title = {Malliavin calculus for two-parameter processes},
journal = {Ann. Sci. Univ. Clermont-Ferrand II Probab. Appl.},
fjournal = {Annales Scientifiques de l'Universit\'{e} de
Clermont-Ferrand II. Probabilit\'{e}s et Applications},
number = {3},
year = {1985},
pages = {73--86},
issn = {0246-1501},
mrclass = {60H15 (60G60 60H07)},
mrnumber = {790724},
mrreviewer = {M. Zakai}
}
@Article{ nualart.sanz:89:stochastic,
author = {Nualart, D. and Sanz, M.},
title = {Stochastic differential equations on the plane: smoothness
of the solution},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {31},
year = {1989},
number = {1},
pages = {1--29},
issn = {0047-259X},
mrclass = {60H07 (60G60 60H15)},
mrnumber = {1022349},
mrreviewer = {G\'{e}rard Ben Arous},
doi = {10.1016/0047-259X(89)90046-8},
url = {https://doi.org/10.1016/0047-259X(89)90046-8}
}
@Article{ nualart.saussereau:09:malliavin,
author = {Nualart, David and Saussereau, Bruno},
title = {Malliavin calculus for stochastic differential equations
driven by a fractional {B}rownian motion},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {2},
pages = {391--409},
issn = {0304-4149},
mrclass = {60H07 (60G22 60H10)},
mrnumber = {2493996},
mrreviewer = {Ivan Nourdin},
doi = {10.1016/j.spa.2008.02.016},
url = {https://doi.org/10.1016/j.spa.2008.02.016}
}
@Article{ nualart.schoutens:00:chaotic,
author = {Nualart, David and Schoutens, Wim},
title = {Chaotic and predictable representations for {L}\'{e}vy
processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {90},
year = {2000},
number = {1},
pages = {109--122},
issn = {0304-4149},
mrclass = {60G51 (60H05)},
mrnumber = {1787127},
mrreviewer = {Jean Bertoin},
doi = {10.1016/S0304-4149(00)00035-1},
url = {https://doi.org/10.1016/S0304-4149(00)00035-1}
}
@Article{ nualart.schoutens:01:backward,
author = {Nualart, David and Schoutens, Wim},
title = {Backward stochastic differential equations and
{F}eynman-{K}ac formula for {L}\'{e}vy processes, with
applications in finance},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {7},
year = {2001},
number = {5},
pages = {761--776},
issn = {1350-7265},
mrclass = {60H10 (62P05 91B28)},
mrnumber = {1867081},
doi = {10.2307/3318541},
url = {https://doi.org/10.2307/3318541}
}
@Article{ nualart.song.ea:21:spatial,
author = {Nualart, David and Song, Xiaoming and Zheng, Guangqu},
title = {Spatial averages for the parabolic {A}nderson model driven
by rough noise},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {18},
year = {2021},
number = {1},
pages = {907--943},
mrclass = {60H15 (60F05 60G15 60H07)},
mrnumber = {4243520},
doi = {10.30757/alea.v18-33},
url = {https://doi.org/10.30757/alea.v18-33}
}
@Article{ nualart.steblovskaya:99:asymptotics,
author = {Nualart, D. and Steblovskaya, V.},
title = {Asymptotics of oscillatory integrals with quadratic phase
function on {W}iener space},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {66},
year = {1999},
number = {3-4},
pages = {293--309},
issn = {1045-1129},
mrclass = {60H07 (28C20)},
mrnumber = {1692864},
doi = {10.1080/17442509908834198},
url = {https://doi.org/10.1080/17442509908834198}
}
@Article{ nualart.swanson:13:joint,
author = {Nualart, David and Swanson, Jason},
title = {Joint convergence along different subsequences of the
signed cubic variation of fractional {B}rownian motion
{II}},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {18},
year = {2013},
pages = {no. 81, 11},
mrclass = {60G22 (60F17)},
mrnumber = {3125257},
mrreviewer = {Amites Dasgupta},
doi = {10.1214/ECP.v18-2840},
url = {https://doi.org/10.1214/ECP.v18-2840}
}
@Article{ nualart.taqqu:06:wick-ito,
author = {Nualart, David and Taqqu, Murad S.},
title = {Wick-{I}t\^{o} formula for {G}aussian processes},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {24},
year = {2006},
number = {3},
pages = {599--614},
issn = {0736-2994},
mrclass = {60H07 (60G15 60G18)},
mrnumber = {2220074},
mrreviewer = {Laure Coutin},
doi = {10.1080/07362990600629348},
url = {https://doi.org/10.1080/07362990600629348}
}
@Article{ nualart.taqqu:08:wick-ito,
author = {Nualart, David and Taqqu, Murad S.},
title = {Wick-{I}t\^{o} formula for regular processes and
applications to the {B}lack and {S}choles formula},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {80},
year = {2008},
number = {5},
pages = {477--487},
issn = {1744-2508},
mrclass = {60G18 (60H05 91B28)},
mrnumber = {2456333},
mrreviewer = {Vasily A. Chernecky},
doi = {10.1080/17442500801928788},
url = {https://doi.org/10.1080/17442500801928788}
}
@Article{ nualart.thieullen:94:skorohod,
author = {Nualart, David and Thieullen, Mich\`ele},
title = {Skorohod stochastic differential equations on random
intervals},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {49},
year = {1994},
number = {3-4},
pages = {149--167},
issn = {1045-1129},
mrclass = {60H05 (60H07 60H10)},
mrnumber = {1785002},
doi = {10.1080/17442509408833917},
url = {https://doi.org/10.1080/17442509408833917}
}
@InCollection{ nualart.thieullen:96:anticipative,
author = {Nualart, D. and Thieullen, M.},
title = {Anticipative stochastic differential equations driven by a
multidimensional {B}rownian motion},
booktitle = {Stochastic analysis: random fields and measure-valued
processes ({R}amat {G}an, 1993/1995)},
series = {Israel Math. Conf. Proc.},
volume = {10},
pages = {169--181},
publisher = {Bar-Ilan Univ., Ramat Gan},
year = {1996},
mrclass = {60H10 (60H07)},
mrnumber = {1415195},
mrreviewer = {Daniel Ocone}
}
@Article{ nualart.tilva:20:continuous,
author = {Nualart, David and Tilva, Abhishek},
title = {Continuous {B}reuer-{M}ajor theorem for vector valued
fields},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {38},
year = {2020},
number = {4},
pages = {668--685},
issn = {0736-2994},
mrclass = {60F05 (60F17 60G15 60G60 60H07)},
mrnumber = {4112741},
mrreviewer = {Daniel M. Harnett},
doi = {10.1080/07362994.2019.1711118},
url = {https://doi.org/10.1080/07362994.2019.1711118}
}
@Article{ nualart.tindel:11:construction,
author = {Nualart, David and Tindel, Samy},
title = {A construction of the rough path above fractional
{B}rownian motion using {V}olterra's representation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {39},
year = {2011},
number = {3},
pages = {1061--1096},
issn = {0091-1798},
mrclass = {60G22 (60G15 60H05 60H07)},
mrnumber = {2789583},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1214/10-AOP578},
url = {https://doi.org/10.1214/10-AOP578}
}
@Article{ nualart.tindel:95:quasilinear,
author = {Nualart, David and Tindel, Samy},
title = {Quasilinear stochastic elliptic equations with
reflection},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {57},
year = {1995},
number = {1},
pages = {73--82},
issn = {0304-4149},
mrclass = {60H15 (35J60 35R60 60G55)},
mrnumber = {1327953},
mrreviewer = {Andrej A. Dorogovtsev},
doi = {10.1016/0304-4149(95)00006-S},
url = {https://doi.org/10.1016/0304-4149(95)00006-S}
}
@Article{ nualart.tindel:97:quasilinear,
author = {Nualart, David and Tindel, Samy},
title = {Quasilinear stochastic hyperbolic differential equations
with nondecreasing coefficient},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {7},
year = {1997},
number = {3},
pages = {661--680},
issn = {0926-2601},
mrclass = {60H15 (35L10 35R60 60G60)},
mrnumber = {1473647},
mrreviewer = {Tu Sheng Zhang},
doi = {10.1023/A:1008644503806},
url = {https://doi.org/10.1023/A:1008644503806}
}
@Article{ nualart.tindel:98:on,
author = {Nualart, David and Tindel, Samy},
title = {On two-parameter non-degenerate {B}rownian martingales},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {122},
year = {1998},
number = {4},
pages = {317--335},
issn = {0007-4497},
mrclass = {60H07 (60H15)},
mrnumber = {1632720},
mrreviewer = {Rainer Buckdahn},
doi = {10.1016/S0007-4497(98)80173-5},
url = {https://doi.org/10.1016/S0007-4497(98)80173-5}
}
@Article{ nualart.tudor:17:determinant,
author = {Nualart, David and Tudor, Ciprian A.},
title = {The determinant of the iterated {M}alliavin matrix and the
density of a pair of multiple integrals},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {1},
pages = {518--534},
issn = {0091-1798},
mrclass = {60H07 (60G15)},
mrnumber = {3601655},
mrreviewer = {Jingyu Huang},
doi = {10.1214/15-AOP1015},
url = {https://doi.org/10.1214/15-AOP1015}
}
@Article{ nualart.ustunel.ea:88:on,
author = {Nualart, D. and \"{U}st\"{u}nel, A. S. and Zakai, M.},
title = {On the moments of a multiple {W}iener-{I}t\^{o} integral
and the space induced by the polynomials of the integral},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {25},
year = {1988},
number = {4},
pages = {233--240},
issn = {0090-9491},
mrclass = {60H05},
mrnumber = {999370},
mrreviewer = {Yuh-Jia Lee},
doi = {10.1080/17442508808833542},
url = {https://doi.org/10.1080/17442508808833542}
}
@Article{ nualart.ustunel.ea:90:some,
author = {Nualart, D. and \"{U}st\"{u}nel, A. S. and Zakai, M.},
title = {Some relations among classes of {$\sigma$}-fields on
{W}iener space},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {85},
year = {1990},
number = {1},
pages = {119--129},
issn = {0178-8051},
mrclass = {60H05 (28C20 46G12 60H07)},
mrnumber = {1044304},
mrreviewer = {Ana Bela Cruzeiro},
doi = {10.1007/BF01377633},
url = {https://doi.org/10.1007/BF01377633}
}
@InCollection{ nualart.ustunel.ea:90:some*1,
author = {Nualart, D. and \"{U}st\"{u}nel, A. S. and Zakai, M.},
title = {Some remarks on independence and conditioning on {W}iener
space},
booktitle = {Stochastic analysis and related topics, {II} ({S}ilivri,
1988)},
series = {Lecture Notes in Math.},
volume = {1444},
pages = {122--127},
publisher = {Springer, Berlin},
year = {1990},
mrclass = {60H99 (60G15)},
mrnumber = {1078845},
mrreviewer = {Denis R. Bell},
doi = {10.1007/BFb0083612},
url = {https://doi.org/10.1007/BFb0083612}
}
@Article{ nualart.ustunel:89:extension,
author = {Nualart, David and \"{U}st\"{u}nel, Ali S\"{u}leyman},
title = {Une extension du laplacien sur l'espace de {W}iener et la
formule d'{I}t\^{o} associ\'{e}e},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {309},
year = {1989},
number = {6},
pages = {383--386},
issn = {0764-4442},
mrclass = {60H07 (60J60)},
mrnumber = {1054257}
}
@InCollection{ nualart.ustunel:89:mesures,
author = {Nualart, David and \"{U}st\"{u}nel, Ali S\"{u}leyman},
title = {Mesures cylindriques et distributions sur l'espace de
{W}iener},
booktitle = {Stochastic partial differential equations and
applications, {II} ({T}rento, 1988)},
series = {Lecture Notes in Math.},
volume = {1390},
pages = {186--191},
publisher = {Springer, Berlin},
year = {1989},
mrclass = {60H99 (60J55)},
mrnumber = {1019602},
mrreviewer = {A. Badrikian},
doi = {10.1007/BFb0083945},
url = {https://doi.org/10.1007/BFb0083945}
}
@Article{ nualart.ustunel:91:geometric,
author = {Nualart, D. and \"{U}st\"{u}nel, A. S.},
title = {Geometric analysis of conditional independence on {W}iener
space},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {89},
year = {1991},
number = {4},
pages = {407--422},
issn = {0178-8051},
mrclass = {60H07},
mrnumber = {1118556},
mrreviewer = {M. Zakai},
doi = {10.1007/BF01199786},
url = {https://doi.org/10.1007/BF01199786}
}
@Article{ nualart.utzet:87:property,
author = {Nualart, David and Utzet, Frederic},
title = {A property of two-parameter martingales with
path-independent variation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {24},
year = {1987},
number = {1},
pages = {31--49},
issn = {0304-4149},
mrclass = {60G48 (60H05)},
mrnumber = {883601},
mrreviewer = {Ely Merzbach},
doi = {10.1016/0304-4149(87)90026-3},
url = {https://doi.org/10.1016/0304-4149(87)90026-3}
}
@Article{ nualart.viens:00:evolution,
author = {Nualart, David and Viens, Frederi},
title = {Evolution equation of a stochastic semigroup with
white-noise drift},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {1},
pages = {36--73},
issn = {0091-1798},
mrclass = {60H15 (60H07)},
mrnumber = {1755997},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1214/aop/1019160111},
url = {https://doi.org/10.1214/aop/1019160111}
}
@Article{ nualart.viens:09:fractional,
author = {Nualart, Eulalia and Viens, Frederi},
title = {The fractional stochastic heat equation on the circle:
time regularity and potential theory},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {5},
pages = {1505--1540},
issn = {0304-4149},
mrclass = {60H15 (35B65 35R60 60G15 60G17 60J45)},
mrnumber = {2513117},
doi = {10.1016/j.spa.2008.07.009},
url = {https://doi.org/10.1016/j.spa.2008.07.009}
}
@Article{ nualart.vives:88:continuite,
author = {Nualart, David and Vives, Josep},
title = {Continuit\'{e} absolue de la loi du maximum d'un processus
continu},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus des S\'{e}ances de l'Acad\'{e}mie des
Sciences. S\'{e}rie I. Math\'{e}matique},
volume = {307},
year = {1988},
number = {7},
pages = {349--354},
issn = {0249-6291},
mrclass = {60G15 (60H07)},
mrnumber = {958796},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel}
}
@InCollection{ nualart.vives:90:anticipative,
author = {Nualart, David and Vives, Josep},
title = {Anticipative calculus for the {P}oisson process based on
the {F}ock space},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIV}, 1988/89},
series = {Lecture Notes in Math.},
volume = {1426},
pages = {154--165},
publisher = {Springer, Berlin},
year = {1990},
mrclass = {60H07 (46G12 60H05)},
mrnumber = {1071538},
mrreviewer = {M. Zakai}
}
@Article{ nualart.vives:92:chaos,
author = {Nualart, David and Vives, Josep},
title = {Chaos expansions and local times},
journal = {Publ. Mat.},
fjournal = {Publicacions Matem\`atiques},
volume = {36},
year = {1992},
number = {2B},
pages = {827--836 (1993)},
issn = {0214-1493},
mrclass = {60H07},
mrnumber = {1210022},
mrreviewer = {J. Walsh},
doi = {10.5565/PUBLMAT\_362B92\_07},
url = {https://doi.org/10.5565/PUBLMAT_362B92_07}
}
@Article{ nualart.vives:92:smoothness,
author = {Nualart, D. and Vives, J.},
title = {Smoothness of {B}rownian local times and related
functionals},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {1},
year = {1992},
number = {3},
pages = {257--263},
issn = {0926-2601},
mrclass = {60J55 (60H07)},
mrnumber = {1245230},
mrreviewer = {Tu Sheng Zhang},
doi = {10.1007/BF00269510},
url = {https://doi.org/10.1007/BF00269510}
}
@InCollection{ nualart.vives:94:smoothness,
author = {Nualart, David and Vives, Josep},
title = {Smoothness of local time and related {W}iener
functionals},
booktitle = {Chaos expansions, multiple {W}iener-{I}t\^{o} integrals
and their applications ({G}uanajuato, 1992)},
series = {Probab. Stochastics Ser.},
pages = {317--335},
publisher = {CRC, Boca Raton, FL},
year = {1994},
mrclass = {60J55 (60H05 60J05)},
mrnumber = {1278051},
mrreviewer = {Peter Imkeller}
}
@InCollection{ nualart.vives:95:duality,
author = {Nualart, David and Vives, Josep},
title = {A duality formula on the {P}oisson space and some
applications},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications ({A}scona, 1993)},
series = {Progr. Probab.},
volume = {36},
pages = {205--213},
publisher = {Birkh\"{a}user, Basel},
year = {1995},
mrclass = {60H07 (60G55)},
mrnumber = {1360277},
mrreviewer = {H\'{e}l\`ene Airault}
}
@Article{ nualart.vuillermot:05:variational,
author = {Nualart, David and Vuillermot, Pierre-A.},
title = {Variational solutions for a class of fractional stochastic
partial differential equations},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {340},
year = {2005},
number = {4},
pages = {281--286},
issn = {1631-073X},
mrclass = {60H15},
mrnumber = {2121891},
mrreviewer = {Sandra Cerrai},
doi = {10.1016/j.crma.2005.01.006},
url = {https://doi.org/10.1016/j.crma.2005.01.006}
}
@InCollection{ nualart.vuillermot:06:stabilization,
author = {Nualart, David and Vuillermot, Pierre A.},
title = {A stabilization phenomenon for a class of stochastic
partial differential equations},
booktitle = {Stochastic partial differential equations and
applications---{VII}},
series = {Lect. Notes Pure Appl. Math.},
volume = {245},
pages = {215--227},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
mrclass = {60H15},
mrnumber = {2227231},
mrreviewer = {Marek Capi\'{n}ski},
doi = {10.1201/9781420028720.ch18},
url = {https://doi.org/10.1201/9781420028720.ch18}
}
@Article{ nualart.vuillermot:06:variational,
author = {Nualart, David and Vuillermot, Pierre-A.},
title = {Variational solutions for partial differential equations
driven by a fractional noise},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {232},
year = {2006},
number = {2},
pages = {390--454},
issn = {0022-1236},
mrclass = {60H15 (35R60 49K45)},
mrnumber = {2200741},
mrreviewer = {Pedro Mar\'{i}n Rubio},
doi = {10.1016/j.jfa.2005.06.015},
url = {https://doi.org/10.1016/j.jfa.2005.06.015}
}
@Article{ nualart.wschebor:91:integration,
author = {Nualart, David and Wschebor, Mario},
title = {Int\'{e}gration par parties dans l'espace de {W}iener et
approximation du temps local},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {90},
year = {1991},
number = {1},
pages = {83--109},
issn = {0178-8051},
mrclass = {60H07 (60H05 60J55)},
mrnumber = {1124830},
mrreviewer = {Patrick Cattiaux},
doi = {10.1007/BF01321135},
url = {https://doi.org/10.1007/BF01321135}
}
@Article{ nualart.xia:20:on,
author = {Nualart, David and Xia, Panqiu},
title = {On nonlinear rough paths},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {17},
year = {2020},
number = {1},
pages = {545--587},
mrclass = {60L20 (60H10 60H15)},
mrnumber = {4105930},
doi = {10.30757/alea.v17-22},
url = {https://doi.org/10.30757/alea.v17-22}
}
@Article{ nualart.xu:13:central,
author = {Nualart, David and Xu, Fangjun},
title = {Central limit theorem for an additive functional of the
fractional {B}rownian motion {II}},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {18},
year = {2013},
pages = {no. 74, 10},
mrclass = {60F05 (60G22)},
mrnumber = {3101639},
mrreviewer = {Gennady Shaikhet},
doi = {10.1214/ECP.v18-2761},
url = {https://doi.org/10.1214/ECP.v18-2761}
}
@Article{ nualart.xu:14:central,
author = {Nualart, David and Xu, Fangjun},
title = {Central limit theorem for functionals of two independent
fractional {B}rownian motions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {11},
pages = {3782--3806},
issn = {0304-4149},
mrclass = {60F05 (60G15 60G22)},
mrnumber = {3249355},
mrreviewer = {Peter Parczewski},
doi = {10.1016/j.spa.2014.07.002},
url = {https://doi.org/10.1016/j.spa.2014.07.002}
}
@Article{ nualart.xu:14:second,
author = {Nualart, David and Xu, Fangjun},
title = {A second order limit law for occupation times of the
{C}auchy process},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {86},
year = {2014},
number = {6},
pages = {967--974},
issn = {1744-2508},
mrclass = {60J55 (60F05 60F17 60G50 60G52)},
mrnumber = {3271516},
mrreviewer = {Zakhar Kabluchko},
doi = {10.1080/17442508.2014.895360},
url = {https://doi.org/10.1080/17442508.2014.895360}
}
@Article{ nualart.xu:19:asymptotic,
author = {Nualart, David and Xu, Fangjun},
title = {Asymptotic behavior for an additive functional of two
independent self-similar {G}aussian processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {129},
year = {2019},
number = {10},
pages = {3981--4008},
issn = {0304-4149},
mrclass = {60F05 (60G15 60G18 60G22)},
mrnumber = {3997669},
mrreviewer = {Anatoliy Malyarenko},
doi = {10.1016/j.spa.2018.11.009},
url = {https://doi.org/10.1016/j.spa.2018.11.009}
}
@Article{ nualart.yeh:89:dependence,
author = {Nualart, D. and Yeh, J.},
title = {Dependence on the boundary condition for linear stochastic
differential equations in the plane},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {33},
year = {1989},
number = {1},
pages = {45--61},
issn = {0304-4149},
mrclass = {60H15},
mrnumber = {1027107},
mrreviewer = {M. Zakai},
doi = {10.1016/0304-4149(89)90065-3},
url = {https://doi.org/10.1016/0304-4149(89)90065-3}
}
@Article{ nualart.yeh:89:existence,
author = {Nualart, D. and Yeh, J.},
title = {Existence and uniqueness of a strong solution to
stochastic differential equations in the plane with
stochastic boundary process},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {28},
year = {1989},
number = {1},
pages = {149--171},
issn = {0047-259X},
mrclass = {60H10},
mrnumber = {996988},
mrreviewer = {Constantin Tudor},
doi = {10.1016/0047-259X(89)90101-2},
url = {https://doi.org/10.1016/0047-259X(89)90101-2}
}
@Article{ nualart.yoshida:19:asymptotic,
author = {Nualart, David and Yoshida, Nakahiro},
title = {Asymptotic expansion of {S}korohod integrals},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 119, 64},
mrclass = {60F05 (60G22 60H07 62E20)},
mrnumber = {4029422},
mrreviewer = {Solesne Bourguin},
doi = {10.1214/19-ejp310},
url = {https://doi.org/10.1214/19-ejp310}
}
@Article{ nualart.zakai:86:generalized,
author = {Nualart, David and Zakai, Moshe},
title = {Generalized stochastic integrals and the {M}alliavin
calculus},
journal = {Probab. Theory Relat. Fields},
fjournal = {Probability Theory and Related Fields},
volume = {73},
year = {1986},
number = {2},
pages = {255--280},
issn = {0178-8051},
mrclass = {60H07 (28C20 46G12 58G32 60G30 60H05)},
mrnumber = {855226},
mrreviewer = {Ana Bela Cruzeiro},
doi = {10.1007/BF00339940},
url = {https://doi.org/10.1007/BF00339940}
}
@Article{ nualart.zakai:88:generalized,
author = {Nualart, David and Zakai, Moshe},
title = {Generalized multiple stochastic integrals and the
representation of {W}iener functionals},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {23},
year = {1988},
number = {3},
pages = {311--330},
issn = {0090-9491},
mrclass = {60H05},
mrnumber = {959117},
mrreviewer = {Daniel Ocone},
doi = {10.1080/17442508808833496},
url = {https://doi.org/10.1080/17442508808833496}
}
@Article{ nualart.zakai:89:generalized,
author = {Nualart, David and Zakai, Moshe},
title = {Generalized {B}rownian functionals and the solution to a
stochastic partial differential equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {84},
year = {1989},
number = {2},
pages = {279--296},
issn = {0022-1236},
mrclass = {60H15 (35R60)},
mrnumber = {1001461},
mrreviewer = {T. Hida},
doi = {10.1016/0022-1236(89)90098-0},
url = {https://doi.org/10.1016/0022-1236(89)90098-0}
}
@Article{ nualart.zakai:89:on,
author = {Nualart, D. and Zakai, M.},
title = {On the relation between the {S}tratonovich and {O}gawa
integrals},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {17},
year = {1989},
number = {4},
pages = {1536--1540},
issn = {0091-1798},
mrclass = {60H05},
mrnumber = {1048944},
mrreviewer = {Jerzy Szulga},
url = {http://links.jstor.org/sici?sici=0091-1798(198910)17:4<1536:OTRBTS>2.0.CO;2-#&origin=MSN}
}
@InCollection{ nualart.zakai:89:partial,
author = {Nualart, David and Zakai, Moshe},
title = {The partial {M}alliavin calculus},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIII}},
series = {Lecture Notes in Math.},
volume = {1372},
pages = {362--381},
publisher = {Springer, Berlin},
year = {1989},
mrclass = {60H07 (60G35)},
mrnumber = {1022924},
mrreviewer = {Daniel Ocone},
doi = {10.1007/BFb0083986},
url = {https://doi.org/10.1007/BFb0083986}
}
@InCollection{ nualart.zakai:89:summary,
author = {Nualart, D. and Zakai, M.},
title = {A summary of some identities of the {M}alliavin calculus},
booktitle = {Stochastic partial differential equations and
applications, {II} ({T}rento, 1988)},
series = {Lecture Notes in Math.},
volume = {1390},
pages = {192--196},
publisher = {Springer, Berlin},
year = {1989},
mrclass = {60H07},
mrnumber = {1019603},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1007/BFb0083946},
url = {https://doi.org/10.1007/BFb0083946}
}
@Article{ nualart.zakai:90:multiple,
author = {Nualart, David and Zakai, Moshe},
title = {Multiple {W}iener-{I}t\^{o} integrals possessing a
continuous extension},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {85},
year = {1990},
number = {1},
pages = {131--145},
issn = {0178-8051},
mrclass = {60H05 (46G12)},
mrnumber = {1044305},
mrreviewer = {A. Badrikian},
doi = {10.1007/BF01377634},
url = {https://doi.org/10.1007/BF01377634}
}
@InCollection{ nualart.zakai:93:positive,
author = {Nualart, David and Zakai, Moshe},
title = {Positive and strongly positive {W}iener functionals},
booktitle = {Barcelona {S}eminar on {S}tochastic {A}nalysis ({S}t.
{F}eliu de {G}u\'{i}xols, 1991)},
series = {Progr. Probab.},
volume = {32},
pages = {132--146},
publisher = {Birkh\"{a}user, Basel},
year = {1993},
mrclass = {60G20 (46F25 60H99)},
mrnumber = {1265047},
mrreviewer = {Jan Ub\o e}
}
@Article{ nualart.zeineddine:18:symmetric,
author = {Nualart, David and Zeineddine, Raghid},
title = {Symmetric weighted odd-power variations of fractional
{B}rownian motion and applications},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {12},
year = {2018},
number = {1},
pages = {Art. 4, 37--58},
mrclass = {60F05 (60G15 60G22 60H05 60H07)},
mrnumber = {3843909},
mrreviewer = {Ivan Nourdin},
doi = {10.31390/cosa.12.1.04},
url = {https://doi.org/10.31390/cosa.12.1.04}
}
@Article{ nualart.zheng:20:averaging,
author = {Nualart, David and Zheng, Guangqu},
title = {Averaging {G}aussian functionals},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {25},
year = {2020},
pages = {Paper No. 48, 54},
mrclass = {60H15 (60F05 60G15 60H07)},
mrnumber = {4092767},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1214/20-ejp453},
url = {https://doi.org/10.1214/20-ejp453}
}
@Article{ nualart.zheng:20:oscillatory,
author = {Nualart, David and Zheng, Guangqu},
title = {Oscillatory {B}reuer-{M}ajor theorem with application to
the random corrector problem},
journal = {Asymptot. Anal.},
fjournal = {Asymptotic Analysis},
volume = {119},
year = {2020},
number = {3-4},
pages = {281--300},
issn = {0921-7134},
mrclass = {60G15 (34B15 35B27 35R60 60F17 60H15)},
mrnumber = {4159029},
mrreviewer = {Fangjun Xu}
}
@Article{ nualart.zheng:20:spatial,
author = {Nualart, David and Zheng, Guangqu},
title = {Spatial ergodicity of stochastic wave equations in
dimensions 1, 2 and 3},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {25},
year = {2020},
pages = {Paper No. 80, 11},
mrclass = {60H15 (37H10 60H07)},
mrnumber = {4187721},
mrreviewer = {Seiichiro Kusuoka},
doi = {10.1214/20-ecp361},
url = {https://doi.org/10.1214/20-ecp361}
}
@Article{ nualart.zhou:21:total,
author = {Nualart, David and Zhou, Hongjuan},
title = {Total variation estimates in the {B}reuer-{M}ajor
theorem},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {57},
year = {2021},
number = {2},
pages = {740--777},
issn = {0246-0203},
mrclass = {60F05 (60G10 60G22 60H07)},
mrnumber = {4260482},
doi = {10.1214/20-aihp1094},
url = {https://doi.org/10.1214/20-aihp1094}
}
@InCollection{ nualart:03:stochastic,
author = {Nualart, David},
title = {Stochastic integration with respect to fractional
{B}rownian motion and applications},
booktitle = {Stochastic models ({M}exico {C}ity, 2002)},
series = {Contemp. Math.},
volume = {336},
pages = {3--39},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2003},
mrclass = {60H05 (60G18 60H07 60H10)},
mrnumber = {2037156},
mrreviewer = {Dominique L\'{e}pingle},
doi = {10.1090/conm/336/06025},
url = {https://doi.org/10.1090/conm/336/06025}
}
@Article{ nualart:04:exponential,
author = {Nualart, Eulalia},
title = {Exponential divergence estimates and heat kernel tail},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {338},
year = {2004},
number = {1},
pages = {77--80},
issn = {1631-073X},
mrclass = {60H07},
mrnumber = {2038089},
mrreviewer = {Jean Picard},
doi = {10.1016/j.crma.2003.11.015},
url = {https://doi.org/10.1016/j.crma.2003.11.015}
}
@InCollection{ nualart:05:white,
author = {Nualart, David},
title = {A white noise approach to fractional {B}rownian motion},
booktitle = {Stochastic analysis: classical and quantum},
pages = {112--126},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2005},
mrclass = {60H40 (46F25 46N30 60G15)},
mrnumber = {2233155},
mrreviewer = {Laure Coutin}
}
@InCollection{ nualart:06:fractional,
author = {Nualart, David},
title = {Fractional {B}rownian motion: stochastic calculus and
applications},
booktitle = {International {C}ongress of {M}athematicians. {V}ol.
{III}},
pages = {1541--1562},
publisher = {Eur. Math. Soc., Z\"{u}rich},
year = {2006},
mrclass = {60G15 (60H05 60H30)},
mrnumber = {2275741},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel}
}
@Book{ nualart:06:malliavin,
author = {Nualart, David},
title = {The {M}alliavin calculus and related topics},
series = {Probability and its Applications (New York)},
edition = {Second},
publisher = {Springer-Verlag, Berlin},
year = {2006},
pages = {xiv+382},
isbn = {978-3-540-28328-7; 3-540-28328-5},
mrclass = {60-02 (60H07 60H30)},
mrnumber = {2200233},
mrreviewer = {Daniel Ocone}
}
@Article{ nualart:06:stochastic,
author = {Nualart, David},
title = {Stochastic calculus with respect to fractional {B}rownian
motion},
journal = {Ann. Fac. Sci. Toulouse Math. (6)},
fjournal = {Annales de la Facult\'{e} des Sciences de Toulouse.
Math\'{e}matiques. S\'{e}rie 6},
volume = {15},
year = {2006},
number = {1},
pages = {63--78},
issn = {0240-2963},
mrclass = {60G15 (60H05)},
mrnumber = {2225747},
mrreviewer = {Christian Bender},
url = {http://afst.cedram.org/item?id=AFST_2006_6_15_1_63_0}
}
@InCollection{ nualart:09:application,
author = {Nualart, David},
title = {Application of {M}alliavin calculus to stochastic partial
differential equations},
booktitle = {A minicourse on stochastic partial differential
equations},
series = {Lecture Notes in Math.},
volume = {1962},
pages = {73--109},
publisher = {Springer, Berlin},
year = {2009},
mrclass = {60H15 (60H07)},
mrnumber = {2508774},
mrreviewer = {Llu\'{i}s Quer-Sardanyons},
doi = {10.1007/978-3-540-85994-9\_3},
url = {https://doi.org/10.1007/978-3-540-85994-9_3}
}
@Book{ nualart:09:malliavin,
author = {Nualart, David},
title = {Malliavin calculus and its applications},
series = {CBMS Regional Conference Series in Mathematics},
volume = {110},
publisher = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC; by the American Mathematical
Society, Providence, RI},
year = {2009},
pages = {viii+85},
isbn = {978-0-8218-4779-4},
mrclass = {60H07 (60-02 91Gxx)},
mrnumber = {2498953},
mrreviewer = {Dominique L\'{e}pingle},
doi = {10.1090/cbms/110},
url = {https://doi.org/10.1090/cbms/110}
}
@Article{ nualart:11:applicability,
author = {Nualart, Eul\`alia},
title = {Applicability of the integration-by-parts formula in a
{G}aussian space},
journal = {Butl. Soc. Catalana Mat.},
fjournal = {Butllet\'{i} de la Societat Catalana de Matem\`atiques},
volume = {26},
year = {2011},
number = {2},
pages = {137--163, 221--222},
issn = {0214-316X},
mrclass = {60H07 (60J60 62F12 91G80)},
mrnumber = {2951765},
doi = {10.2436/20.2002.01.37},
url = {https://doi.org/10.2436/20.2002.01.37}
}
@Article{ nualart:11:discussion,
author = {Nualart, David},
title = {Discussion of {H}iroshi {K}unita's article: {A}nalysis of
nondegenerate {W}iener-{P}oisson functionals and its
applications to {I}t\^{o}'s {SDE} with jumps [MR2887083]},
journal = {Sankhya A},
fjournal = {Sankhya A. The Indian Journal of Statistics},
volume = {73},
year = {2011},
number = {1},
pages = {46--49},
issn = {0976-836X},
mrclass = {60H07 (60E10 60G51 60J60 60J75)},
mrnumber = {2887084},
mrreviewer = {Ren\'{e} L. Schilling},
doi = {10.1007/s13171-011-0007-z},
url = {https://doi.org/10.1007/s13171-011-0007-z}
}
@Article{ nualart:13:on,
author = {Nualart, Eulalia},
title = {On the density of systems of non-linear spatially
homogeneous {SPDE}s},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {85},
year = {2013},
number = {1},
pages = {48--70},
issn = {1744-2508},
mrclass = {60H15 (60H07)},
mrnumber = {3011911},
mrreviewer = {Elisa Al\`os},
doi = {10.1080/17442508.2011.653567},
url = {https://doi.org/10.1080/17442508.2011.653567}
}
@InCollection{ nualart:13:stochastic,
author = {Nualart, David},
title = {Stochastic calculus with respect to the fractional
{B}rownian motion},
booktitle = {European {C}ongress of {M}athematics},
pages = {475--488},
publisher = {Eur. Math. Soc., Z\"{u}rich},
year = {2013},
mrclass = {60G22 (60H05)},
mrnumber = {3469139},
mrreviewer = {Jos\'{e} Rafael Le\'{o}n}
}
@Article{ nualart:14:it-normal-approximations-with-malliavin-calculus,
author = {Nualart, David},
title = {{it {N}ormal approximations with {M}alliavin calculus}
[book review of MR2962301]},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {51},
year = {2014},
number = {3},
pages = {491--497},
issn = {0273-0979},
mrclass = {00A17},
mrnumber = {3196797},
doi = {10.1090/S0273-0979-2013-01432-0},
url = {https://doi.org/10.1090/S0273-0979-2013-01432-0}
}
@InCollection{ nualart:14:normal,
author = {Nualart, David},
title = {Normal approximation on a finite {W}iener chaos},
booktitle = {Stochastic analysis and applications 2014},
series = {Springer Proc. Math. Stat.},
volume = {100},
pages = {377--395},
publisher = {Springer, Cham},
year = {2014},
mrclass = {60G15 (60H07 60H10 65C30)},
mrnumber = {3332720},
mrreviewer = {Peter Parczewski},
doi = {10.1007/978-3-319-11292-3\_14},
url = {https://doi.org/10.1007/978-3-319-11292-3_14}
}
@Article{ nualart:18:moment,
author = {Nualart, Eulalia},
title = {Moment bounds for some fractional stochastic heat
equations on the ball},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {23},
year = {2018},
pages = {Paper No. 41, 12},
mrclass = {60H15 (35R11 35R60 60G52)},
mrnumber = {3841402},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1214/18-ECP147},
url = {https://doi.org/10.1214/18-ECP147}
}
@InProceedings{ nualart:77:on,
author = {Nualart, David},
title = {On the convergence of martingales},
booktitle = {Proceedings of the {F}irst {S}panish-{P}ortuguese
{M}athematical {C}onference ({M}adrid, 1973) ({S}panish)},
pages = {638--646},
publisher = {Consejo Sup. Inv. Cient., Madrid},
year = {1977},
mrclass = {60G42},
mrnumber = {581115},
mrreviewer = {Dominique L\'{e}pingle}
}
@InProceedings{ nualart:77:on*1,
author = {Nualart, David},
title = {On the order convergence of stochastic processes},
booktitle = {Proceedings of the {F}irst {S}panish-{P}ortuguese
{M}athematical {C}onference ({M}adrid, 1973) ({S}panish)},
pages = {647--655},
publisher = {Consejo Sup. Inv. Cient., Madrid},
year = {1977},
mrclass = {60G17 (60G07)},
mrnumber = {581116},
mrreviewer = {Evarist Gin\'{e}}
}
@InCollection{ nualart:79:decomposition,
author = {Nualart, David},
title = {Decomposition of independent valued stochastic measures},
booktitle = {Contributions in probability and mathematical statistics,
teaching of mathematics and analysis ({S}panish)},
pages = {83--90},
publisher = {Grindley, Granada},
year = {1979},
mrclass = {60G57 (60J30)},
mrnumber = {577804},
mrreviewer = {Alan F. Karr}
}
@Article{ nualart:81:decomposition,
author = {Nualart, D.},
title = {Decomposition of two-parameter martingales},
journal = {Stochastica},
fjournal = {Stochastica},
volume = {5},
year = {1981},
number = {3},
pages = {133--150},
issn = {0210-7821},
mrclass = {60G44 (60H05)},
mrnumber = {659245},
mrreviewer = {Ely Merzbach}
}
@InCollection{ nualart:81:martingales,
author = {Nualart, D.},
title = {Martingales \`a variation ind\'{e}pendante du chemin},
booktitle = {Two-index random processes ({P}aris, 1980)},
series = {Lecture Notes in Math.},
volume = {863},
pages = {128--148},
publisher = {Springer, Berlin},
year = {1981},
mrclass = {60G48 (60G60 60J65)},
mrnumber = {630310},
mrreviewer = {Bernard Prum}
}
@Article{ nualart:81:weak,
author = {Nualart, David},
title = {Weak convergence to the law of two-parameter continuous
processes},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {55},
year = {1981},
number = {3},
pages = {255--259},
issn = {0044-3719},
mrclass = {60F17 (60B12 60G60)},
mrnumber = {608020},
mrreviewer = {Evarist Gin\'{e}},
doi = {10.1007/BF00532118},
url = {https://doi.org/10.1007/BF00532118}
}
@Article{ nualart:82:martingales,
author = {Nualart, D.},
title = {Martingales non fortes \`a variation ind\'{e}pendante du
chemin},
journal = {Ann. Sci. Univ. Clermont-Ferrand II Math.},
fjournal = {Annales Scientifiques de l'Universit\'{e} de
Clermont-Ferrand II. Math\'{e}matiques},
number = {20},
year = {1982},
pages = {112--114},
issn = {0249-7042},
mrclass = {60G44},
mrnumber = {707539}
}
@InCollection{ nualart:83:differents,
author = {Nualart, D.},
title = {Diff\'{e}rents types de martingales \`a deux indices},
booktitle = {Seminar on probability, {XVII}},
series = {Lecture Notes in Math.},
volume = {986},
pages = {398--417},
publisher = {Springer, Berlin},
year = {1983},
mrclass = {60G48 (60G60)},
mrnumber = {770429},
mrreviewer = {Ely Merzbach},
doi = {10.1007/BFb0068333},
url = {https://doi.org/10.1007/BFb0068333}
}
@Article{ nualart:83:on,
author = {Nualart, David},
title = {On the distribution of a double stochastic integral},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {65},
year = {1983},
number = {1},
pages = {49--60},
issn = {0044-3719},
mrclass = {60H05 (60G60)},
mrnumber = {717932},
mrreviewer = {M. M\'{e}tivier},
doi = {10.1007/BF00534993},
url = {https://doi.org/10.1007/BF00534993}
}
@Article{ nualart:83:two-parameter,
author = {Nualart, D.},
title = {Two-parameter diffusion processes and martingales},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {15},
year = {1983},
number = {1},
pages = {31--57},
issn = {0304-4149},
mrclass = {60G48 (60H15)},
mrnumber = {694535},
mrreviewer = {Bernard Prum},
doi = {10.1016/0304-4149(83)90020-0},
url = {https://doi.org/10.1016/0304-4149(83)90020-0}
}
@Article{ nualart:84:formule,
author = {Nualart, David},
title = {Une formule d'{I}t\^{o} pour les martingales continues \`a
deux indices et quelques applications},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistique},
volume = {20},
year = {1984},
number = {3},
pages = {251--275},
issn = {0246-0203},
mrclass = {60H05 (60G48)},
mrnumber = {762858},
mrreviewer = {Ely Merzbach},
url = {http://www.numdam.org/item?id=AIHPB_1984__20_3_251_0}
}
@Article{ nualart:84:on,
author = {Nualart, D.},
title = {On the quadratic variation of two-parameter continuous
martingales},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {12},
year = {1984},
number = {2},
pages = {445--457},
issn = {0091-1798},
mrclass = {60G44},
mrnumber = {735848},
mrreviewer = {Ely Merzbach},
url = {http://links.jstor.org/sici?sici=0091-1798(198405)12:2<445:OTQVOT>2.0.CO;2-L&origin=MSN}
}
@Article{ nualart:85:variations,
author = {Nualart, David},
title = {Variations quadratiques et in\'{e}galit\'{e}s pour les
martingales \`a deux indices},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {15},
year = {1985},
number = {1},
pages = {51--63},
issn = {0090-9491},
mrclass = {60G48},
mrnumber = {803151},
mrreviewer = {Ely Merzbach},
doi = {10.1080/17442508508833348},
url = {https://doi.org/10.1080/17442508508833348}
}
@InCollection{ nualart:86:application,
author = {Nualart, David},
title = {Application du calcul de {M}alliavin aux \'{e}quations
diff\'{e}rentielles stochastiques sur le plan},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XX}, 1984/85},
series = {Lecture Notes in Math.},
volume = {1204},
pages = {379--395},
publisher = {Springer, Berlin},
year = {1986},
mrclass = {60H10 (60H07)},
mrnumber = {942033},
mrreviewer = {H\'{e}l\`ene Airault},
doi = {10.1007/BFb0075730},
url = {https://doi.org/10.1007/BFb0075730}
}
@InCollection{ nualart:86:malliavin,
author = {Nualart, D.},
title = {Malliavin calculus and stochastic integrals},
booktitle = {Probability and {B}anach spaces ({Z}aragoza, 1985)},
series = {Lecture Notes in Math.},
volume = {1221},
pages = {182--194},
publisher = {Springer, Berlin},
year = {1986},
mrclass = {60H07},
mrnumber = {875010},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1007/BFb0099114},
url = {https://doi.org/10.1007/BFb0099114}
}
@Article{ nualart:87:some,
author = {Nualart, David},
title = {Some remarks on a linear stochastic differential
equation},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {5},
year = {1987},
number = {3},
pages = {231--234},
issn = {0167-7152},
mrclass = {60H10},
mrnumber = {881203},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1016/0167-7152(87)90046-0},
url = {https://doi.org/10.1016/0167-7152(87)90046-0}
}
@InCollection{ nualart:88:noncausal,
author = {Nualart, David},
title = {Noncausal stochastic integrals and calculus},
booktitle = {Stochastic analysis and related topics ({S}ilivri, 1986)},
series = {Lecture Notes in Math.},
volume = {1316},
pages = {80--129},
publisher = {Springer, Berlin},
year = {1988},
mrclass = {60H07 (60H05)},
mrnumber = {953794},
mrreviewer = {M. Zakai},
doi = {10.1007/BFb0081930},
url = {https://doi.org/10.1007/BFb0081930}
}
@Article{ nualart:89:martingales,
author = {Nualart, David},
title = {Martingales and their applications: a historical
perspective},
journal = {Butl. Soc. Catalana Mat.},
fjournal = {Butllet\'{i} de la Societat Catalana de Matem\`atiques},
number = {4},
year = {1989},
pages = {33--46},
issn = {0214-316X},
mrclass = {60G42 (01A99 60-03 60G44)},
mrnumber = {1025869},
mrreviewer = {Marta Sanz Sol\'{e}}
}
@InCollection{ nualart:89:remarque,
author = {Nualart, David},
title = {Une remarque sur le d\'{e}veloppement en chaos d'une
diffusion},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXIII}},
series = {Lecture Notes in Math.},
volume = {1372},
pages = {165--168},
publisher = {Springer, Berlin},
year = {1989},
mrclass = {60J60 (60H07)},
mrnumber = {1022907},
mrreviewer = {Patrick Cattiaux},
doi = {10.1007/BFb0083969},
url = {https://doi.org/10.1007/BFb0083969}
}
@InCollection{ nualart:91:malliavin,
author = {Nualart, David},
title = {Malliavin calculus and related topics},
booktitle = {Stochastic processes and related topics ({G}eorgenthal,
1990)},
series = {Math. Res.},
volume = {61},
pages = {103--127},
publisher = {Akademie-Verlag, Berlin},
year = {1991},
mrclass = {60H07},
mrnumber = {1127886},
mrreviewer = {Patrick Cattiaux}
}
@InCollection{ nualart:91:nonlinear,
author = {Nualart, David},
title = {Nonlinear transformations of the {W}iener measure and
applications},
booktitle = {Stochastic analysis},
pages = {397--431},
publisher = {Academic Press, Boston, MA},
year = {1991},
mrclass = {60H07 (60G15 60H10)},
mrnumber = {1119841},
mrreviewer = {Denis R. Bell}
}
@Article{ nualart:92:geometric,
author = {Nualart, David},
title = {Geometric characterization of independence in a {G}aussian
space},
journal = {Rev. Real Acad. Cienc. Exact. F\'{i}s. Natur. Madrid},
fjournal = {Real Academia de Ciencias Exactas, F\'{i}sicas y Naturales
de Madrid. Revista},
volume = {86},
year = {1992},
number = {2},
pages = {237--250},
issn = {0034-0596},
mrclass = {60H07},
mrnumber = {1234236},
mrreviewer = {Dominique L\'{e}pingle}
}
@Article{ nualart:92:randomized,
author = {Nualart, David},
title = {Randomized stopping points and optimal stopping on the
plane},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {20},
year = {1992},
number = {2},
pages = {883--900},
issn = {0091-1798},
mrclass = {60G40 (60G07 60G60)},
mrnumber = {1159578},
mrreviewer = {Robert C. Dalang},
url = {http://links.jstor.org/sici?sici=0091-1798(199204)20:2<883:RSPAOS>2.0.CO;2-7&origin=MSN}
}
@Article{ nualart:93:anticipating,
author = {Nualart, D.},
title = {Anticipating stochastic differential equations},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {117},
year = {1993},
number = {1},
pages = {49--62},
issn = {0007-4497},
mrclass = {60H07 (60H10)},
mrnumber = {1205411},
mrreviewer = {Daniel Ocone}
}
@InCollection{ nualart:93:markov,
author = {Nualart, David},
title = {Markov fields and transformations of the {W}iener
measure},
booktitle = {Stochastic analysis and related topics ({O}slo, 1992)},
series = {Stochastics Monogr.},
volume = {8},
pages = {45--88},
publisher = {Gordon and Breach, Montreux},
year = {1993},
mrclass = {60H30 (60G60 60J99)},
mrnumber = {1268005},
mrreviewer = {Eddy Mayer-Wolf}
}
@Book{ nualart:95:malliavin,
author = {Nualart, David},
title = {The {M}alliavin calculus and related topics},
series = {Probability and its Applications (New York)},
publisher = {Springer-Verlag, New York},
year = {1995},
pages = {xii+266},
isbn = {0-387-94432-X},
mrclass = {60H07 (60-02)},
mrnumber = {1344217},
mrreviewer = {Daniel Ocone},
doi = {10.1007/978-1-4757-2437-0},
url = {https://doi.org/10.1007/978-1-4757-2437-0}
}
@InCollection{ nualart:95:markov,
author = {Nualart, David},
title = {Markov properties for solutions of stochastic differential
equations},
booktitle = {Stochastic analysis ({I}thaca, {NY}, 1993)},
series = {Proc. Sympos. Pure Math.},
volume = {57},
pages = {465--471},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1995},
mrclass = {60G60 (60H15 60J99)},
mrnumber = {1335490},
mrreviewer = {Ana Bela Cruzeiro},
doi = {10.1090/pspum/057/1335490},
url = {https://doi.org/10.1090/pspum/057/1335490}
}
@InCollection{ nualart:98:analysis,
author = {Nualart, David},
title = {Analysis on {W}iener space and anticipating stochastic
calculus},
booktitle = {Lectures on probability theory and statistics
({S}aint-{F}lour, 1995)},
series = {Lecture Notes in Math.},
volume = {1690},
pages = {123--227},
publisher = {Springer, Berlin},
year = {1998},
mrclass = {60H07 (46G12 46N30 60-02)},
mrnumber = {1668111},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1007/BFb0092538},
url = {https://doi.org/10.1007/BFb0092538}
}
@InCollection{ nualart:98:stochastic,
author = {Nualart, David},
title = {Stochastic anticipating calculus},
booktitle = {Probability towards 2000 ({N}ew {Y}ork, 1995)},
series = {Lect. Notes Stat.},
volume = {128},
pages = {249--262},
publisher = {Springer, New York},
year = {1998},
mrclass = {60H05 (60H07)},
mrnumber = {1632580},
mrreviewer = {Daniel Ocone},
doi = {10.1007/978-1-4612-2224-8\_15},
url = {https://doi.org/10.1007/978-1-4612-2224-8_15}
}
@InCollection{ nualart:99:stochastic,
author = {Nualart, David},
title = {Stochastic partial differential equations perturbed by a
white noise},
note = {First Conference on Mathematics (Catalan) (Bellaterra,
1998)},
journal = {Butl. Soc. Catalana Mat.},
fjournal = {Butllet\'{i} de la Societat Catalana de Matem\`atiques},
volume = {14},
year = {1999},
number = {1},
pages = {85--98},
issn = {0214-316X},
mrclass = {35R60 (60H15 60H40)},
mrnumber = {1717372}
}
@Article{ obayashi:18:volume-optimal,
author = {Obayashi, Ippei},
title = {Volume-optimal cycle: tightest representative cycle of a
generator in persistent homology},
journal = {SIAM J. Appl. Algebra Geom.},
fjournal = {SIAM Journal on Applied Algebra and Geometry},
volume = {2},
year = {2018},
number = {4},
pages = {508--534},
mrclass = {55N35 (90C05)},
mrnumber = {3867608},
mrreviewer = {Elizabeth Munch},
doi = {10.1137/17M1159439},
url = {https://doi.org/10.1137/17M1159439}
}
@Book{ oberhettinger.badii:73:tables,
author = {Oberhettinger, Fritz and Badii, Larry},
title = {Tables of {L}aplace transforms},
publisher = {Springer-Verlag, New York-Heidelberg},
year = {1973},
pages = {vii+428},
mrclass = {44-02 (44A15)},
mrnumber = {0352889}
}
@Book{ oberhettinger:74:tables,
author = {Oberhettinger, Fritz},
title = {Tables of {M}ellin transforms},
publisher = {Springer-Verlag, New York-Heidelberg},
year = {1974},
pages = {v+275},
mrclass = {44-02 (44A15)},
mrnumber = {0352890}
}
@Article{ obuchi.takahashi:12:partition-function,
author = {Obuchi, Tomoyuki and Takahashi, Kazutaka},
title = {Partition-function zeros of spherical spin glasses and
their relevance to chaos},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {45},
year = {2012},
number = {12},
pages = {125003, 20},
issn = {1751-8113},
mrclass = {82B44 (82B20)},
mrnumber = {2904383},
mrreviewer = {Yuri Kozitsky},
doi = {10.1088/1751-8113/45/12/125003},
url = {https://doi.org/10.1088/1751-8113/45/12/125003}
}
@Article{ obukhov:83:kolmogorov,
title = {Kolmogorov flow and laboratory simulation of it},
author = {Obukhov, AM},
journal = {Russ. Math. Surv},
volume = {38},
number = {4},
pages = {113--126},
year = {1983}
}
@Article{ ocone:84:malliavins,
author = {Ocone, Daniel},
title = {Malliavin's calculus and stochastic integral
representations of functionals of diffusion processes},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {12},
year = {1984},
number = {3-4},
pages = {161--185},
issn = {0090-9491},
mrclass = {60H07 (58G32 60H05)},
mrnumber = {749372},
mrreviewer = {L. C. G. Rogers},
doi = {10.1080/17442508408833299},
url = {https://doi.org/10.1080/17442508408833299}
}
@Article{ oconnell.seppalainen.ea:14:geometric,
author = {O'Connell, Neil and Sepp\"{a}l\"{a}inen, Timo and
Zygouras, Nikos},
title = {Geometric {RSK} correspondence, {W}hittaker functions and
symmetrized random polymers},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {197},
year = {2014},
number = {2},
pages = {361--416},
issn = {0020-9910},
mrclass = {33C15 (05E05 22E30 60B20 60K35)},
mrnumber = {3232009},
mrreviewer = {David Berm\'{u}dez},
doi = {10.1007/s00222-013-0485-9},
url = {https://doi.org/10.1007/s00222-013-0485-9}
}
@Article{ oconnell.warren:16:multi-layer,
author = {O'Connell, Neil and Warren, Jon},
title = {A multi-layer extension of the stochastic heat equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {341},
year = {2016},
number = {1},
pages = {1--33},
issn = {0010-3616},
mrclass = {60H15},
mrnumber = {3439221},
mrreviewer = {Jiang Lun Wu},
doi = {10.1007/s00220-015-2541-3},
url = {https://doi.org/10.1007/s00220-015-2541-3}
}
@Article{ oconnell.yor:01:brownian,
author = {O'Connell, Neil and Yor, Marc},
title = {Brownian analogues of {B}urke's theorem},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {96},
year = {2001},
number = {2},
pages = {285--304},
issn = {0304-4149},
mrclass = {60J65 (60K25)},
mrnumber = {1865759},
mrreviewer = {Erik A. van Doorn},
doi = {10.1016/S0304-4149(01)00119-3},
url = {https://doi.org/10.1016/S0304-4149(01)00119-3}
}
@Article{ oconnell:12:directed,
author = {O'Connell, Neil},
title = {Directed polymers and the quantum {T}oda lattice},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {2},
pages = {437--458},
issn = {0091-1798},
mrclass = {60J65 (37K10 60B20 60J25 60K37)},
mrnumber = {2952082},
mrreviewer = {Vladimir Al. Osipov},
doi = {10.1214/10-AOP632},
url = {https://doi.org/10.1214/10-AOP632}
}
@InCollection{ odlyzko.rains:00:on,
author = {Odlyzko, A. M. and Rains, E. M.},
title = {On longest increasing subsequences in random
permutations},
booktitle = {Analysis, geometry, number theory: the mathematics of
{L}eon {E}hrenpreis ({P}hiladelphia, {PA}, 1998)},
series = {Contemp. Math.},
volume = {251},
pages = {439--451},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {05A05 (60C05)},
mrnumber = {1771285},
doi = {10.1090/conm/251/03886},
url = {https://doi.org/10.1090/conm/251/03886}
}
@Article{ oelschlager:01:sequence,
author = {Oelschl\"{a}ger, K.},
title = {A sequence of integro-differential equations approximating
a viscous porous medium equation},
journal = {Z. Anal. Anwendungen},
fjournal = {Zeitschrift f\"{u}r Analysis und ihre Anwendungen. Journal
for Analysis and its Applications},
volume = {20},
year = {2001},
number = {1},
pages = {55--91},
issn = {0232-2064,1661-4534},
mrclass = {45K05 (35B65 35C20 35K57 76S05)},
mrnumber = {1826320},
mrreviewer = {Giuliana\ Lauro},
doi = {10.4171/ZAA/1004},
url = {https://doi.org/10.4171/ZAA/1004}
}
@Article{ oelschlager:02:simulation,
author = {Oelschl\"{a}ger, Karl},
title = {Simulation of the solution of a viscous porous medium
equation by a particle method},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {40},
year = {2002},
number = {5},
pages = {1716--1762},
issn = {0036-1429,1095-7170},
mrclass = {65C35 (65N50 76M28 76S05)},
mrnumber = {1950620},
mrreviewer = {Michael\ Junk},
doi = {10.1137/S0036142900363377},
url = {https://doi.org/10.1137/S0036142900363377}
}
@Article{ oelschlager:84:martingale,
author = {Oelschl\"{a}ger, Karl},
title = {A martingale approach to the law of large numbers for
weakly interacting stochastic processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {12},
year = {1984},
number = {2},
pages = {458--479},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (82A05)},
mrnumber = {735849},
mrreviewer = {T.\ M.\ Liggett},
url = {http://links.jstor.org/sici?sici=0091-1798(198405)12:2<458:AMATTL>2.0.CO;2-H&origin=MSN}
}
@Article{ oelschlager:85:law,
author = {Oelschl\"{a}ger, Karl},
title = {A law of large numbers for moderately interacting
diffusion processes},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {69},
year = {1985},
number = {2},
pages = {279--322},
issn = {0044-3719},
mrclass = {60J60 (60K35 82A31)},
mrnumber = {779460},
mrreviewer = {Maria\ E.\ Vares},
doi = {10.1007/BF02450284},
url = {https://doi.org/10.1007/BF02450284}
}
@Article{ oelschlager:87:fluctuation,
author = {Oelschl\"{a}ger, Karl},
title = {A fluctuation theorem for moderately interacting diffusion
processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {74},
year = {1987},
number = {4},
pages = {591--616},
issn = {0178-8051,1432-2064},
mrclass = {60J60},
mrnumber = {876258},
mrreviewer = {G.\ Leha},
doi = {10.1007/BF00363518},
url = {https://doi.org/10.1007/BF00363518}
}
@Article{ oelschlager:88:homogenization,
author = {Oelschl\"{a}ger, Karl},
title = {Homogenization of a diffusion process in a divergence-free
random field},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {16},
year = {1988},
number = {3},
pages = {1084--1126},
issn = {0091-1798,2168-894X},
mrclass = {60G60 (60H15 60J60)},
mrnumber = {942757},
mrreviewer = {Robert\ J.\ Adler},
url = {http://links.jstor.org/sici?sici=0091-1798(198807)16:3<1084:HOADPI>2.0.CO;2-O&origin=MSN}
}
@Article{ oelschlager:89:on,
author = {Oelschl\"{a}ger, Karl},
title = {On the derivation of reaction-diffusion equations as limit
dynamics of systems of moderately interacting stochastic
processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {82},
year = {1989},
number = {4},
pages = {565--586},
issn = {0178-8051,1432-2064},
mrclass = {60K35 (35K57 60J60)},
mrnumber = {1002901},
mrreviewer = {Ralf\ Manthey},
doi = {10.1007/BF00341284},
url = {https://doi.org/10.1007/BF00341284}
}
@Article{ oelschlager:90:large,
author = {Oelschl\"{a}ger, Karl},
title = {Large systems of interacting particles and the porous
medium equation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {88},
year = {1990},
number = {2},
pages = {294--346},
issn = {0022-0396,1090-2732},
mrclass = {82C70 (35K55 60K35 76S05)},
mrnumber = {1081251},
mrreviewer = {G.\ Leha},
doi = {10.1016/0022-0396(90)90101-T},
url = {https://doi.org/10.1016/0022-0396(90)90101-T}
}
@InCollection{ oelschlager:90:limit,
author = {Oelschl\"{a}ger, Karl},
title = {A limit theorem for a one-dimensional many-particle system
with gradient interaction},
booktitle = {Stochastic modelling in biology ({H}eidelberg, 1988)},
pages = {141--149},
publisher = {World Sci. Publ., Teaneck, NJ},
year = {1990},
isbn = {981-02-0135-4},
mrclass = {82C05 (60K35)},
mrnumber = {1090838}
}
@Article{ oelschlager:90:limit*1,
author = {Oelschl\"{a}ger, Karl},
title = {Limit theorems for age-structured populations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {18},
year = {1990},
number = {1},
pages = {290--318},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (60F05)},
mrnumber = {1043949},
mrreviewer = {Peter\ Donnelly},
url = {http://links.jstor.org/sici?sici=0091-1798(199001)18:1<290:LTFAP>2.0.CO;2-7&origin=MSN}
}
@Article{ oelschlager:91:on,
author = {Oelschl\"{a}ger, Karl},
title = {On the connection between {H}amiltonian many-particle
systems and the hydrodynamical equations},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {115},
year = {1991},
number = {4},
pages = {297--310},
issn = {0003-9527},
mrclass = {82C21 (76A02 76N10)},
mrnumber = {1120850},
mrreviewer = {Giuseppe\ Toscani},
doi = {10.1007/BF00375277},
url = {https://doi.org/10.1007/BF00375277}
}
@Article{ oelschlager:92:spread,
author = {Oelschl\"{a}ger, Karl},
title = {The spread of a parasitic infection in a spatially
distributed host population},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {30},
year = {1992},
number = {4},
pages = {321--354},
issn = {0303-6812,1432-1416},
mrclass = {92D30 (45J05)},
mrnumber = {1154695},
doi = {10.1007/BF00173291},
url = {https://doi.org/10.1007/BF00173291}
}
@Article{ oelschlager:95:description,
author = {Oelschl\"{a}ger, Karl},
title = {The description of many-particle systems by the equations
for a viscous, compressible, barotropic fluid},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {5},
year = {1995},
number = {7},
pages = {887--922},
issn = {0218-2025,1793-6314},
mrclass = {76N10 (35Q30 76M35)},
mrnumber = {1359213},
mrreviewer = {Ana\ M.\ Carpio},
doi = {10.1142/S0218202595000486},
url = {https://doi.org/10.1142/S0218202595000486}
}
@Article{ oelschlager:97:integro-differential,
author = {Oelschl\"{a}ger, Karl},
title = {An integro-differential equation modelling a {N}ewtonian
dynamics and its scaling limit},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {137},
year = {1997},
number = {2},
pages = {99--134},
issn = {0003-9527},
mrclass = {35Q72 (45K05 76A99)},
mrnumber = {1463791},
mrreviewer = {Jos\'{e}\ Luiz\ Boldrini},
doi = {10.1007/s002050050024},
url = {https://doi.org/10.1007/s002050050024}
}
@Article{ oh.okamoto.ea:20:remark,
author = {Oh, Tadahiro and Okamoto, Mamoru and Robert, Tristan},
title = {A remark on triviality for the two-dimensional stochastic
nonlinear wave equation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {130},
year = {2020},
number = {9},
pages = {5838--5864},
issn = {0304-4149},
mrclass = {35R60 (35L15 35L71 60H15)},
mrnumber = {4127348},
mrreviewer = {Baris Evren Ugurcan},
doi = {10.1016/j.spa.2020.05.010},
url = {https://doi.org/10.1016/j.spa.2020.05.010}
}
@Article{ oh.okamoto.ea:24:focusing,
author = {Oh, Tadahiro and Okamoto, Mamoru and Tolomeo, Leonardo},
title = {Focusing {$\Phi^4_3$}-model with a {H}artree-type
nonlinearity},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {304},
year = {2024},
number = {1529},
pages = {vi+143},
issn = {0065-9266},
isbn = {978-1-4704-7193-4; 978-1-4704-8008-0},
mrclass = {35L71 (35K15 35R60 60H15 60L40 81T08)},
mrnumber = {4850409},
doi = {10.1090/memo/1529},
url = {https://doi.org/10.1090/memo/1529}
}
@Article{ oh.okamoto.ea:24:uniqueness,
author = {Oh, Tadahiro and Okamoto, Mamoru and Tzvetkov, Nikolay},
title = {Uniqueness and non-uniqueness of the {G}aussian free field
evolution under the two-dimensional {W}ick ordered cubic
wave equation},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {60},
year = {2024},
number = {3},
pages = {1684--1728},
issn = {0246-0203},
mrclass = {60H15 (37D35 60G15 60G60 60H30)},
mrnumber = {4780502},
doi = {10.1214/23-aihp1380},
url = {https://doi.org/10.1214/23-aihp1380}
}
@Article{ oh.okamoto:21:comparing,
author = {Oh, Tadahiro and Okamoto, Mamoru},
title = {Comparing the stochastic nonlinear wave and heat
equations: a case study},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {26},
year = {2021},
pages = {Paper No. 9, 44},
mrclass = {35R60 (60H15)},
mrnumber = {4216522},
mrreviewer = {Jinlong Wei},
doi = {10.1214/20-EJP575},
url = {https://doi.org/10.1214/20-EJP575}
}
@Article{ oh.pocovnicu.ea:22:probabilistic,
author = {Oh, Tadahiro and Pocovnicu, Oana and Tzvetkov, Nikolay},
title = {Probabilistic local {C}auchy theory of the cubic nonlinear
wave equation in negative {S}obolev spaces},
journal = {Ann. Inst. Fourier (Grenoble)},
fjournal = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
volume = {72},
year = {2022},
number = {2},
pages = {771--830},
issn = {0373-0956},
mrclass = {35L71 (60H30)},
mrnumber = {4448609},
doi = {10.5802/aif.3454},
url = {https://doi.org/10.5802/aif.3454}
}
@Article{ oh.quastel.ea:12:interpolation,
author = {Oh, Tadahiro and Quastel, Jeremy and Valk\'{o}, Benedek},
title = {Interpolation of {G}ibbs measures with white noise for
{H}amiltonian {PDE}},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {97},
year = {2012},
number = {4},
pages = {391--410},
issn = {0021-7824},
mrclass = {60H40 (35Q53 35Q55 35R60 37K05 60H30)},
mrnumber = {2899812},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1016/j.matpur.2011.11.003},
url = {https://doi.org/10.1016/j.matpur.2011.11.003}
}
@Article{ oh.quastel:13:on,
author = {Oh, Tadahiro and Quastel, Jeremy},
title = {On invariant {G}ibbs measures conditioned on mass and
momentum},
journal = {J. Math. Soc. Japan},
fjournal = {Journal of the Mathematical Society of Japan},
volume = {65},
year = {2013},
number = {1},
pages = {13--35},
issn = {0025-5645},
mrclass = {60H30 (35Q55)},
mrnumber = {3034397},
doi = {10.2969/jmsj/06510013},
url = {https://doi.org/10.2969/jmsj/06510013}
}
@Article{ oh.quastel:16:on,
author = {Oh, Tadahiro and Quastel, Jeremy},
title = {On the {C}ameron-{M}artin theorem and almost-sure global
existence},
journal = {Proc. Edinb. Math. Soc. (2)},
fjournal = {Proceedings of the Edinburgh Mathematical Society. Series
II},
volume = {59},
year = {2016},
number = {2},
pages = {483--501},
issn = {0013-0915},
mrclass = {60H40 (35Q53 35Q55 35R60 60H30)},
mrnumber = {3509243},
doi = {10.1017/S0013091515000218},
url = {https://doi.org/10.1017/S0013091515000218}
}
@Article{ oh.richards.ea:16:on,
author = {Oh, Tadahiro and Richards, Geordie and Thomann, Laurent},
title = {On invariant {G}ibbs measures for the generalized {K}d{V}
equations},
journal = {Dyn. Partial Differ. Equ.},
fjournal = {Dynamics of Partial Differential Equations},
volume = {13},
year = {2016},
number = {2},
pages = {133--153},
issn = {1548-159X},
mrclass = {35Q53},
mrnumber = {3520810},
doi = {10.4310/DPDE.2016.v13.n2.a3},
url = {https://doi.org/10.4310/DPDE.2016.v13.n2.a3}
}
@Article{ oh.robert.ea:21:invariant,
author = {Oh, Tadahiro and Robert, Tristan and Sosoe, Philippe and
Wang, Yuzhao},
title = {Invariant {G}ibbs dynamics for the dynamical sine-{G}ordon
model},
journal = {Proc. Roy. Soc. Edinburgh Sect. A},
fjournal = {Proceedings of the Royal Society of Edinburgh. Section A.
Mathematics},
volume = {151},
year = {2021},
number = {5},
pages = {1450--1466},
issn = {0308-2105},
mrclass = {35L71 (60H15)},
mrnumber = {4313569},
doi = {10.1017/prm.2020.68},
url = {https://doi.org/10.1017/prm.2020.68}
}
@Article{ oh.robert.ea:21:on,
author = {Oh, Tadahiro and Robert, Tristan and Sosoe, Philippe and
Wang, Yuzhao},
title = {On the two-dimensional hyperbolic stochastic sine-{G}ordon
equation},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {9},
year = {2021},
number = {1},
pages = {1--32},
issn = {2194-0401},
mrclass = {35L71 (60H15)},
mrnumber = {4218786},
mrreviewer = {Haziem Mohammad Hazaimeh},
doi = {10.1007/s40072-020-00165-8},
url = {https://doi.org/10.1007/s40072-020-00165-8}
}
@Article{ oh.robert.ea:21:on*1,
author = {Oh, Tadahiro and Robert, Tristan and Wang, Yuzhao},
title = {On the parabolic and hyperbolic {L}iouville equations},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {387},
year = {2021},
number = {3},
pages = {1281--1351},
issn = {0010-3616},
mrclass = {60H15 (35K08 35L05)},
mrnumber = {4324379},
mrreviewer = {Huaqiao Wang},
doi = {10.1007/s00220-021-04125-8},
url = {https://doi.org/10.1007/s00220-021-04125-8}
}
@Article{ oh.robert.ea:23:stochastic,
author = {Oh, Tadahiro and Robert, Tristan and Tzvetkov, Nikolay},
title = {Stochastic nonlinear wave dynamics on compact surfaces},
journal = {Ann. H. Lebesgue},
fjournal = {Annales Henri Lebesgue},
volume = {6},
year = {2023},
pages = {161--223},
mrclass = {35L71 (35R60 60H15)},
mrnumber = {4593608},
mrreviewer = {Gongwei Liu},
doi = {10.5802/ahl.163},
url = {https://doi.org/10.5802/ahl.163}
}
@Article{ oh.seong.ea:24:remark,
author = {Oh, Tadahiro and Seong, Kihoon and Tolomeo, Leonardo},
title = {A remark on {G}ibbs measures with log-correlated
{G}aussian fields},
journal = {Forum Math. Sigma},
fjournal = {Forum of Mathematics. Sigma},
volume = {12},
year = {2024},
pages = {Paper No. e50, 40},
mrclass = {60G60 (35L71 35Q53 35Q55 60G15 60H30 81T08)},
mrnumber = {4728493},
mrreviewer = {Ou Zhao},
doi = {10.1017/fms.2024.28},
url = {https://doi.org/10.1017/fms.2024.28}
}
@Article{ oh.sosoe.ea:22:optimal,
author = {Oh, Tadahiro and Sosoe, Philippe and Tolomeo, Leonardo},
title = {Optimal integrability threshold for {G}ibbs measures
associated with focusing {NLS} on the torus},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {227},
year = {2022},
number = {3},
pages = {1323--1429},
issn = {0020-9910},
mrclass = {60H40 (35Q55 60H30)},
mrnumber = {4384196},
mrreviewer = {Farai Julius Mhlanga},
doi = {10.1007/s00222-021-01080-y},
url = {https://doi.org/10.1007/s00222-021-01080-y}
}
@Article{ oh.thomann:18:pedestrian,
author = {Oh, Tadahiro and Thomann, Laurent},
title = {A pedestrian approach to the invariant {G}ibbs measures
for the 2-{$d$} defocusing nonlinear {S}chr\"{o}dinger
equations},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {6},
year = {2018},
number = {3},
pages = {397--445},
issn = {2194-0401},
mrclass = {35Q55 (35R01 58J65)},
mrnumber = {3844655},
mrreviewer = {Gaetano Siciliano},
doi = {10.1007/s40072-018-0112-2},
url = {https://doi.org/10.1007/s40072-018-0112-2}
}
@Article{ oh.thomann:20:invariant,
author = {Oh, Tadahiro and Thomann, Laurent},
title = {Invariant {G}ibbs measures for the {$2$}-{$d$} defocusing
nonlinear wave equations},
journal = {Ann. Fac. Sci. Toulouse Math. (6)},
fjournal = {Annales de la Facult\'{e} des Sciences de Toulouse.
Math\'{e}matiques. S\'{e}rie 6},
volume = {29},
year = {2020},
number = {1},
pages = {1--26},
issn = {0240-2963},
mrclass = {35L71 (35L15)},
mrnumber = {4133695},
doi = {10.5802/afst.1620},
url = {https://doi.org/10.5802/afst.1620}
}
@Article{ oh.wang.ea:22:three-dimensional,
author = {Oh, Tadahiro and Wang, Yuzhao and Zine, Younes},
title = {Three-dimensional stochastic cubic nonlinear wave equation
with almost space-time white noise},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {10},
year = {2022},
number = {3},
pages = {898--963},
issn = {2194-0401},
mrclass = {35L71 (60H15 60L40)},
mrnumber = {4491506},
doi = {10.1007/s40072-022-00237-x},
url = {https://doi.org/10.1007/s40072-022-00237-x}
}
@Article{ oh:09:invariance,
author = {Oh, Tadahiro},
title = {Invariance of the {G}ibbs measure for the
{S}chr\"{o}dinger-{B}enjamin-{O}no system},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {41},
year = {2009/10},
number = {6},
pages = {2207--2225},
issn = {0036-1410},
mrclass = {35Q53 (35B30 35Q55 37L40 60H30)},
mrnumber = {2579711},
mrreviewer = {Boris Ettinger},
doi = {10.1137/080738180},
url = {https://doi.org/10.1137/080738180}
}
@Article{ oh:09:invariance*1,
author = {Oh, Tadahiro},
title = {Invariance of the white noise for {K}d{V}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {292},
year = {2009},
number = {1},
pages = {217--236},
issn = {0010-3616},
mrclass = {35Q53 (35R60 60B11 60G15)},
mrnumber = {2540076},
mrreviewer = {Mark C. Veraar},
doi = {10.1007/s00220-009-0856-7},
url = {https://doi.org/10.1007/s00220-009-0856-7}
}
@Article{ oh:09:invariant,
author = {Oh, Tadahiro},
title = {Invariant {G}ibbs measures and a.s. global well posedness
for coupled {K}d{V} systems},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {22},
year = {2009},
number = {7-8},
pages = {637--668},
issn = {0893-4983},
mrclass = {35Q53 (35B30 37A99 37K10)},
mrnumber = {2532115}
}
@InCollection{ oh:10:white,
author = {Oh, Tadahiro},
title = {White noise for {K}d{V} and m{K}d{V} on the circle},
booktitle = {Harmonic analysis and nonlinear partial differential
equations},
series = {RIMS K\^{o}ky\^{u}roku Bessatsu, B18},
pages = {99--124},
publisher = {Res. Inst. Math. Sci. (RIMS), Kyoto},
year = {2010},
mrclass = {37K10 (35Q53 35R60 60H40)},
mrnumber = {2762393},
mrreviewer = {Isamu D\^{o}ku}
}
@Book{ ohagan.buck.ea:06:uncertain,
title = {Uncertain judgements: {Eliciting} experts' probabilities},
author = {O'Hagan, Anthony and Buck, Caitlin E and Daneshkhah,
Alireza and Eiser, J Richard and Garthwaite, Paul H and
Jenkinson, David J and Oakley, Jeremy E and Rakow, Tim},
year = {2006},
publisher = {John Wiley \& Sons}
}
@Article{ ohagan:19:expert,
title = {Expert knowledge elicitation: {Subjective} but
scientific},
author = {O'Hagan, Anthony},
journal = {The American Statistician},
volume = {73},
number = {sup1},
pages = {69--81},
year = {2019},
publisher = {Taylor \& Francis}
}
@Article{ ohagan:98:eliciting,
title = {Eliciting expert beliefs in substantial practical
applications: [Read before The Royal Statistical Society at
meeting on'Elicitation `on Wednesday, April 16th, 1997, the
President, Professor AFM Smithin the Chair]},
author = {O'Hagan, Anthony},
journal = {Journal of the Royal Statistical Society: Series D (The
Statistician)},
volume = {47},
number = {1},
pages = {21--35},
year = {1998},
publisher = {Wiley Online Library}
}
@Article{ ohta:97:blowup,
author = {Ohta, Masahito},
title = {Blowup of solutions of dissipative nonlinear wave
equations},
journal = {Hokkaido Math. J.},
fjournal = {Hokkaido Mathematical Journal},
volume = {26},
year = {1997},
number = {1},
pages = {115--124},
issn = {0385-4035},
mrclass = {35L70 (34G20 35B40)},
mrnumber = {1432541},
mrreviewer = {Linda M. Holt},
doi = {10.14492/hokmj/1351257808},
url = {https://doi.org/10.14492/hokmj/1351257808}
}
@Article{ okounkov:00:random,
author = {Okounkov, Andrei},
title = {Random matrices and random permutations},
journal = {Internat. Math. Res. Notices},
fjournal = {International Mathematics Research Notices},
year = {2000},
number = {20},
pages = {1043--1095},
issn = {1073-7928},
mrclass = {15A52 (05C30 60C05 82B31)},
mrnumber = {1802530},
mrreviewer = {Oleksiy Khorunzhiy},
doi = {10.1155/S1073792800000532},
url = {https://doi.org/10.1155/S1073792800000532}
}
@Article{ okounkov:01:infinite,
author = {Okounkov, Andrei},
title = {Infinite wedge and random partitions},
journal = {Selecta Math. (N.S.)},
fjournal = {Selecta Mathematica. New Series},
volume = {7},
year = {2001},
number = {1},
pages = {57--81},
issn = {1022-1824},
mrclass = {60C05},
mrnumber = {1856553},
mrreviewer = {Hajime Yamato},
doi = {10.1007/PL00001398},
url = {https://doi.org/10.1007/PL00001398}
}
@Article{ okounkov:02:generating,
author = {Okounkov, Andrei},
title = {Generating functions for intersection numbers on moduli
spaces of curves},
journal = {Int. Math. Res. Not.},
fjournal = {International Mathematics Research Notices},
year = {2002},
number = {18},
pages = {933--957},
issn = {1073-7928},
mrclass = {14H10 (14H70 37K20)},
mrnumber = {1902297},
mrreviewer = {Gilberto Bini},
doi = {10.1155/S1073792802110099},
url = {https://doi.org/10.1155/S1073792802110099}
}
@Article{ oksendal.proske.ea:05:backward,
author = {{\O}ksendal, Bernt and Proske, Frank and Zhang, Tusheng},
title = {Backward stochastic partial differential equations with
jumps and application to optimal control of random jump
fields},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {77},
year = {2005},
number = {5},
pages = {381--399},
issn = {1744-2508},
mrclass = {60H15 (35R60 93E20)},
mrnumber = {2178424},
mrreviewer = {Krystyna Twardowska},
doi = {10.1080/17442500500213797},
url = {https://doi.org/10.1080/17442500500213797}
}
@Article{ oksendal.sulem.ea:11:optimal,
author = {{\O}ksendal, Bernt and Sulem, Agn\`es and Zhang, Tusheng},
title = {Optimal control of stochastic delay equations and
time-advanced backward stochastic differential equations},
journal = {Adv. in Appl. Probab.},
fjournal = {Advances in Applied Probability},
volume = {43},
year = {2011},
number = {2},
pages = {572--596},
issn = {0001-8678},
mrclass = {49K45 (35R60 60H10 60H15 60J75 91G80)},
mrnumber = {2848391},
mrreviewer = {Giorgio Fabbri},
doi = {10.1239/aap/1308662493},
url = {https://doi.org/10.1239/aap/1308662493}
}
@InCollection{ oksendal.sulem.ea:12:optimal,
author = {{\O}ksendal, Bernt and Sulem, Agn\`es and Zhang, Tusheng},
title = {Optimal partial information control of {SPDE}s with delay
and time-advanced backward {SPDE}s},
booktitle = {Stochastic analysis and applications to finance},
series = {Interdiscip. Math. Sci.},
volume = {13},
pages = {355--383},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2012},
mrclass = {49K45 (60G51 60H15 60H30 60J75)},
mrnumber = {2986854},
mrreviewer = {David T. B. Kelly},
doi = {10.1142/9789814383585\_0018},
url = {https://doi.org/10.1142/9789814383585_0018}
}
@Article{ oksendal.sulem.ea:14:singular,
author = {{\O}ksendal, Bernt and Sulem, Agn\`es and Zhang, Tusheng},
title = {Singular control and optimal stopping of {SPDE}s, and
backward {SPDE}s with reflection},
journal = {Math. Oper. Res.},
fjournal = {Mathematics of Operations Research},
volume = {39},
year = {2014},
number = {2},
pages = {464--486},
issn = {0364-765X},
mrclass = {60H15 (35R60 60G40 93E20)},
mrnumber = {3205556},
mrreviewer = {Vivek S. Borkar},
doi = {10.1287/moor.2013.0602},
url = {https://doi.org/10.1287/moor.2013.0602}
}
@InCollection{ oksendal.sulem.ea:15:comparison,
author = {{\O}ksendal, Bernt and Sulem, Agn\`es and Zhang, Tusheng},
title = {A comparison theorem for backward {SPDE}s with jumps},
booktitle = {Festschrift {M}asatoshi {F}ukushima},
series = {Interdiscip. Math. Sci.},
volume = {17},
pages = {479--487},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2015},
mrclass = {60H15 (35B51 35R60 60J75)},
mrnumber = {3379354},
mrreviewer = {Kai He},
doi = {10.1142/9789814596534\_0023},
url = {https://doi.org/10.1142/9789814596534_0023}
}
@InCollection{ oksendal.sulem.ea:16:stochastic,
author = {{\O}ksendal, Bernt and Sulem, Agn\`es and Zhang, Tusheng},
title = {A stochastic {HJB} equation for optimal control of
forward-backwards {SDE}s},
booktitle = {The fascination of probability, statistics and their
applications},
pages = {435--446},
publisher = {Springer, Cham},
year = {2016},
mrclass = {60H10 (49K45 49L25 91G10 93E20)},
mrnumber = {3495696},
mrreviewer = {Alexandre Popier}
}
@Article{ oksendal.zhang:07:ito-ventzell,
author = {{\O}ksendal, Bernt and Zhang, Tusheng},
title = {The {I}t\^{o}-{V}entzell formula and forward stochastic
differential equations driven by {P}oisson random measures},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {44},
year = {2007},
number = {1},
pages = {207--230},
issn = {0030-6126},
mrclass = {60H40 (60G51 60G57 60H07)},
mrnumber = {2313037},
mrreviewer = {Klaus Meer},
url = {http://projecteuclid.org/euclid.ojm/1174324333}
}
@Article{ oksendal.zhang:10:optimal,
author = {{\O}ksendal, Bernt and Zhang, Tusheng},
title = {Optimal control with partial information for stochastic
{V}olterra equations},
journal = {Int. J. Stoch. Anal.},
fjournal = {International Journal of Stochastic Analysis},
year = {2010},
pages = {Art. ID 329185, 25},
issn = {2090-3332},
mrclass = {93E20 (49K45 49N10 60H07 60H20)},
mrnumber = {2678923},
doi = {10.1155/2010/329185},
url = {https://doi.org/10.1155/2010/329185}
}
@Article{ oksendal.zhang:12:backward,
author = {{\O}ksendal, Bernt and Zhang, Tusheng},
title = {Backward stochastic differential equations with respect to
general filtrations and applications to insider finance},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {6},
year = {2012},
number = {4},
pages = {703--722},
mrclass = {60H10 (35R60 60H30 65C30 91G80 93E20)},
mrnumber = {3034013},
mrreviewer = {Juan Li},
doi = {10.31390/cosa.6.4.13},
url = {https://doi.org/10.31390/cosa.6.4.13}
}
@Book{ oksendal:03:stochastic,
author = {{\O}ksendal, Bernt},
title = {Stochastic differential equations},
series = {Universitext},
edition = {Sixth},
note = {An introduction with applications},
publisher = {Springer-Verlag, Berlin},
year = {2003},
pages = {xxiv+360},
isbn = {3-540-04758-1},
mrclass = {60H10 (60G44 60J60)},
mrnumber = {2001996},
doi = {10.1007/978-3-642-14394-6},
url = {https://doi.org/10.1007/978-3-642-14394-6}
}
@InCollection{ olde-daalhuis:10:confluent,
author = {Olde Daalhuis, A. B.},
title = {Confluent hypergeometric functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {321--349},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C15},
mrnumber = {2655353}
}
@InCollection{ olde-daalhuis:10:hypergeometric,
author = {Olde Daalhuis, A. B.},
title = {Hypergeometric function},
booktitle = {N{IST} handbook of mathematical functions},
pages = {383--401},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C05 (33-00)},
mrnumber = {2655355}
}
@Book{ oldham.myland.ea:09:atlas,
author = {Oldham, Keith and Myland, Jan and Spanier, Jerome},
title = {An atlas of functions},
edition = {Second},
note = {With Equator, the atlas function calculator, With 1 CD-ROM
(Windows)},
publisher = {Springer, New York},
year = {2009},
pages = {xii+748},
isbn = {978-0-387-48806-6},
mrclass = {33-00},
mrnumber = {2466333},
mrreviewer = {Mourad E. H. Ismail},
doi = {10.1007/978-0-387-48807-3},
url = {https://doi.org/10.1007/978-0-387-48807-3}
}
@Article{ oliveira.silva.ea:11:intersection,
author = {Oliveira, Maria Jo\~{a}o and da Silva, Jos\'{e} Lu\'{i}s
and Streit, Ludwig},
title = {Intersection local times of independent fractional
{B}rownian motions as generalized white noise functionals},
journal = {Acta Appl. Math.},
fjournal = {Acta Applicandae Mathematicae},
volume = {113},
year = {2011},
number = {1},
pages = {17--39},
issn = {0167-8019},
mrclass = {60H40 (28C20 46F25 60G22 60J55)},
mrnumber = {2745508},
mrreviewer = {David Nualart},
doi = {10.1007/s10440-010-9579-1},
url = {https://doi.org/10.1007/s10440-010-9579-1}
}
@Article{ olivieri.picco:84:on,
author = {Olivieri, Enzo and Picco, Pierre},
title = {On the existence of thermodynamics for the random energy
model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {96},
year = {1984},
number = {1},
pages = {125--144},
issn = {0010-3616},
mrclass = {82A30 (82A05 82A57)},
mrnumber = {765963},
mrreviewer = {V. P. Kalashnikov},
url = {http://projecteuclid.org/euclid.cmp/1103941722}
}
@Article{ olla.tsai:19:exceedingly,
author = {Olla, Stefano and Tsai, Li-Cheng},
title = {Exceedingly large deviations of the totally asymmetric
exclusion process},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 16, 71},
mrclass = {60F10 (60K35 82C22)},
mrnumber = {3916336},
doi = {10.1214/19-EJP278},
url = {https://doi.org/10.1214/19-EJP278}
}
@Article{ olla.varadhan.ea:93:hydrodynamical,
author = {Olla, S. and Varadhan, S. R. S. and Yau, H.-T.},
title = {Hydrodynamical limit for a {H}amiltonian system with weak
noise},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {155},
year = {1993},
number = {3},
pages = {523--560},
issn = {0010-3616,1432-0916},
mrclass = {60K35 (82C22 82C31)},
mrnumber = {1231642},
mrreviewer = {Pablo\ A.\ Ferrari},
url = {http://projecteuclid.org/euclid.cmp/1104253396}
}
@Article{ olla.varadhan:91:scaling,
author = {Olla, Stefano and Varadhan, S. R. S.},
title = {Scaling limit for interacting {O}rnstein-{U}hlenbeck
processes},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {135},
year = {1991},
number = {2},
pages = {355--378},
issn = {0010-3616,1432-0916},
mrclass = {60K35 (60J60)},
mrnumber = {1087388},
url = {http://projecteuclid.org/euclid.cmp/1104202030}
}
@Article{ ollivier:09:ricci,
title = {Ricci curvature of Markov chains on metric spaces},
author = {Ollivier, Yann},
journal = {Journal of Functional Analysis},
volume = {256},
number = {3},
pages = {810--864},
year = {2009},
publisher = {Elsevier}
}
@Article{ olshanski:11:quasi-invariance,
author = {Olshanski, Grigori},
title = {The quasi-invariance property for the {G}amma kernel
determinantal measure},
journal = {Adv. Math.},
fjournal = {Advances in Mathematics},
volume = {226},
year = {2011},
number = {3},
pages = {2305--2350},
issn = {0001-8708},
mrclass = {60G30 (60B10 60B20 60G55)},
mrnumber = {2739779},
mrreviewer = {Martin V. Hildebrand},
doi = {10.1016/j.aim.2010.09.015},
url = {https://doi.org/10.1016/j.aim.2010.09.015}
}
@InCollection{ olshanski:11:random,
author = {Olshanski, Grigori},
title = {Random permutations and related topics},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {510--533},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60C05 (60B20)},
mrnumber = {2932645},
mrreviewer = {Martin V. Hildebrand}
}
@Book{ olver.lozier.ea:10:nist,
title = {N{IST} handbook of mathematical functions},
author = {Olver, Frank W. J. and Lozier, Daniel W. and Boisvert,
Ronald F. and Clark, Charles W.},
note = {With 1 CD-ROM (Windows, Macintosh and UNIX)},
publisher = {U.S. Department of Commerce, National Institute of
Standards and Technology, Washington, DC; Cambridge
University Press, Cambridge},
year = {2010},
pages = {xvi+951},
isbn = {978-0-521-14063-8},
mrclass = {33-00 (00A20 65-00)},
mrnumber = {2723248}
}
@InCollection{ olver.maximon:10:bessel,
author = {Olver, F. W. J. and Maximon, L. C.},
title = {Bessel functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {215--286},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C10},
mrnumber = {2655350}
}
@InCollection{ olver.wong:10:asymptotic,
author = {Olver, F. W. J. and Wong, R.},
title = {Asymptotic approximations},
booktitle = {N{IST} handbook of mathematical functions},
pages = {41--70},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {41A60 (65D20)},
mrnumber = {2655342}
}
@InCollection{ olver:10:airy,
author = {Olver, F. W. J.},
title = {Airy and related functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {193--213},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C10},
mrnumber = {2655349}
}
@Article{ olver:88:unidirectionalization,
author = {Olver, Peter J.},
title = {Unidirectionalization of {H}amiltonian waves},
journal = {Phys. Lett. A},
fjournal = {Physics Letters. A},
volume = {126},
year = {1988},
number = {8-9},
pages = {501--506},
issn = {0375-9601},
mrclass = {58F05 (12H05 35Q20 76B15)},
mrnumber = {925382},
doi = {10.1016/0375-9601(88)90047-3},
url = {https://doi.org/10.1016/0375-9601(88)90047-3}
}
@Book{ olver:97:asymptotics,
author = {Olver, Frank W. J.},
title = {Asymptotics and special functions},
series = {AKP Classics},
note = {Reprint of the 1974 original [Academic Press, New York;
MR0435697 (55 \#8655)]},
publisher = {A K Peters, Ltd., Wellesley, MA},
year = {1997},
pages = {xviii+572},
isbn = {1-56881-069-5},
mrclass = {41-02 (33Cxx 41A60 65D20)},
mrnumber = {1429619}
}
@Article{ onatski:08:tracy-widom,
author = {Onatski, Alexei},
title = {The {T}racy-{W}idom limit for the largest eigenvalues of
singular complex {W}ishart matrices},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {18},
year = {2008},
number = {2},
pages = {470--490},
issn = {1050-5164},
mrclass = {60F05 (62E20)},
mrnumber = {2398763},
mrreviewer = {Alexander Roitershtein},
doi = {10.1214/07-AAP454},
url = {https://doi.org/10.1214/07-AAP454}
}
@Article{ ondrejat.seidler:13:on,
author = {Ondrej\'{a}t, Martin and Seidler, Jan},
title = {On existence of progressively measurable modifications},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {18},
year = {2013},
pages = {no. 20, 6},
issn = {1083-589X},
mrclass = {60G07},
mrnumber = {3037218},
mrreviewer = {Zhenxia\ Liu},
doi = {10.1214/ECP.v18-2548},
url = {https://doi.org/10.1214/ECP.v18-2548}
}
@Article{ ondrejat.seidler:18:note,
author = {Ondrej\'{a}t, Martin and Seidler, Jan},
title = {A note on weak solutions to stochastic differential
equations},
journal = {Kybernetika (Prague)},
fjournal = {Kybernetika},
volume = {54},
year = {2018},
number = {5},
pages = {888--907},
issn = {0023-5954,1805-949X},
mrclass = {60H10},
mrnumber = {3893126},
mrreviewer = {Lijun\ Bo},
doi = {10.14736/kyb-2018-5-0888},
url = {https://doi.org/10.14736/kyb-2018-5-0888}
}
@Article{ ondrejat.veraar:20:on,
author = {Ondrej\'at, Martin and Veraar, Mark},
title = {On temporal regularity of stochastic convolutions in
2-smooth {B}anach spaces},
journal = {Ann. Inst. Henri Poincar\'e{} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'e{} Probabilit\'es et
Statistiques},
volume = {56},
year = {2020},
number = {3},
pages = {1792--1808},
issn = {0246-0203,1778-7017},
mrclass = {60G17 (46E30 60H15 60J65)},
mrnumber = {4116708},
mrreviewer = {Suprio\ Bhar},
doi = {10.1214/19-AIHP1017},
url = {https://doi.org/10.1214/19-AIHP1017}
}
@Article{ ondrejat:04:uniqueness,
author = {Ondrej\'{a}t, Martin},
title = {Uniqueness for stochastic evolution equations in {B}anach
spaces},
journal = {Dissertationes Math. (Rozprawy Mat.)},
fjournal = {Dissertationes Mathematicae (Rozprawy Matematyczne)},
volume = {426},
year = {2004},
pages = {63},
issn = {0012-3862},
mrclass = {60H15 (60H05)},
mrnumber = {2067962},
mrreviewer = {Bohdan Maslowski},
doi = {10.4064/dm426-0-1},
url = {https://doi.org/10.4064/dm426-0-1}
}
@Article{ ondrejat:10:stochastic,
author = {Ondrej\'{a}t, Martin},
title = {Stochastic wave equation with critical nonlinearities:
temporal regularity and uniqueness},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {248},
year = {2010},
number = {7},
pages = {1579--1602},
issn = {0022-0396},
mrclass = {60H15 (35R60)},
mrnumber = {2593599},
doi = {10.1016/j.jde.2009.12.010},
url = {https://doi.org/10.1016/j.jde.2009.12.010}
}
@Article{ ondrejat:10:stochastic*1,
author = {Ondrej\'{a}t, Martin},
title = {Stochastic nonlinear wave equations in local {S}obolev
spaces},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {15},
year = {2010},
pages = {no. 33, 1041--1091},
mrclass = {60H15},
mrnumber = {2659757},
mrreviewer = {Chunrong Feng},
doi = {10.1214/EJP.v15-789},
url = {https://doi.org/10.1214/EJP.v15-789}
}
@Article{ ono:97:global,
author = {Ono, Kosuke},
title = {Global existence, decay, and blowup of solutions for some
mildly degenerate nonlinear {K}irchhoff strings},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {137},
year = {1997},
number = {2},
pages = {273--301},
issn = {0022-0396},
mrclass = {35Q72 (34G20 73D35)},
mrnumber = {1456598},
mrreviewer = {Sergio Spagnolo},
doi = {10.1006/jdeq.1997.3263},
url = {https://doi.org/10.1006/jdeq.1997.3263}
}
@Article{ onyido.shen:21:corrigendum,
author = {Onyido, Maria Amarakristi and Shen, Wenxian},
title = {Corrigendum to: ``{N}onlocal dispersal equations with
almost periodic dependence. {I}. {P}rincipal spectral
theory'' [{J}. {D}iffer. {E}qu. 295 (2021) 1--38]},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {300},
year = {2021},
pages = {513--518},
issn = {0022-0396,1090-2732},
mrclass = {45C05 (45K05 47A10 47B65 92D25)},
mrnumber = {4302121},
doi = {10.1016/j.jde.2021.07.040},
url = {https://doi.org/10.1016/j.jde.2021.07.040}
}
@Article{ onyido.shen:21:nonlocal,
author = {Onyido, Maria Amarakristi and Shen, Wenxian},
title = {Nonlocal dispersal equations with almost periodic
dependence. {I}. {P}rincipal spectral theory},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {295},
year = {2021},
pages = {1--38},
issn = {0022-0396,1090-2732},
mrclass = {45C05 (45K05 47A10 47B65 92D25)},
mrnumber = {4267553},
mrreviewer = {S.\ N.\ Askhabov},
doi = {10.1016/j.jde.2021.05.050},
url = {https://doi.org/10.1016/j.jde.2021.05.050}
}
@Article{ onyido.shen:23:non-local,
author = {Onyido, Maria Amarakristi and Shen, Wenxian},
title = {Non-local dispersal equations with almost periodic
dependence. {II}. {A}symptotic dynamics of {F}isher-{KPP}
equations},
journal = {Discrete Contin. Dyn. Syst. Ser. S},
fjournal = {Discrete and Continuous Dynamical Systems. Series S},
volume = {16},
year = {2023},
number = {3-4},
pages = {548--572},
issn = {1937-1632,1937-1179},
mrclass = {45M15 (35R09 45C05 45M10 47G20 92D25)},
mrnumber = {4567441},
mrreviewer = {Xiongxiong\ Bao},
doi = {10.3934/dcdss.2022145},
url = {https://doi.org/10.3934/dcdss.2022145}
}
@InCollection{ orantin:11:chain,
author = {Orantin, N.},
title = {Chain of matrices, loop equations, and topological
recursion},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {329--352},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {15B52 (60B20)},
mrnumber = {2932636},
mrreviewer = {Brad Safnuk}
}
@InProceedings{ orr:07:stability,
title = {The stability or instability of the steady motions of a
perfect liquid and of a viscous liquid. Part II: A viscous
liquid},
author = {Orr, William M'F},
booktitle = {Proceedings of the Royal Irish Academy. Section A:
Mathematical and Physical Sciences},
volume = {27},
pages = {69--138},
year = {1907},
organization = {JSTOR}
}
@Article{ orrieri.scarpa:19:singular,
author = {Orrieri, Carlo and Scarpa, Luca},
title = {Singular stochastic {A}llen-{C}ahn equations with dynamic
boundary conditions},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {266},
year = {2019},
number = {8},
pages = {4624--4667},
issn = {0022-0396,1090-2732},
mrclass = {35R60 (35B25 35B30 35K55 60H15 80A22)},
mrnumber = {3912729},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2018.10.007},
url = {https://doi.org/10.1016/j.jde.2018.10.007}
}
@Article{ orsingher.beghin:04:time-fractional,
author = {Orsingher, Enzo and Beghin, Luisa},
title = {Time-fractional telegraph equations and telegraph
processes with {B}rownian time},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {128},
year = {2004},
number = {1},
pages = {141--160},
issn = {0178-8051},
mrclass = {60G15 (26A33 35L15)},
mrnumber = {2027298},
mrreviewer = {Wilfried Grecksch},
doi = {10.1007/s00440-003-0309-8},
url = {https://doi.org/10.1007/s00440-003-0309-8}
}
@Article{ orsingher.beghin:09:fractional,
author = {Orsingher, Enzo and Beghin, Luisa},
title = {Fractional diffusion equations and processes with randomly
varying time},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {1},
pages = {206--249},
issn = {0091-1798},
mrclass = {60G22 (33C10 60E05 60G52 60J65)},
mrnumber = {2489164},
mrreviewer = {Stefan Sperlich},
doi = {10.1214/08-AOP401},
url = {https://doi.org/10.1214/08-AOP401}
}
@Article{ orsingher:82:randomly,
author = {Orsingher, Enzo},
title = {Randomly forced vibrations of a string},
journal = {Ann. Inst. H. Poincar\'{e} Sect. B (N.S.)},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Section B.
Calcul des Probabilit\'{e}s et Statistique. Nouvelle
S\'{e}rie},
volume = {18},
year = {1982},
number = {4},
pages = {367--394},
issn = {0020-2347},
mrclass = {73K03 (60G99 70L05)},
mrnumber = {683337},
mrreviewer = {Kazimierz Sobczyk}
}
@InCollection{ ortiz-lopez.sanz-sole:11:laplace,
author = {Ortiz-L\'{o}pez, V\'{i}ctor and Sanz-Sol\'{e}, Marta},
title = {A {L}aplace principle for a stochastic wave equation in
spatial dimension three},
booktitle = {Stochastic analysis 2010},
pages = {31--49},
publisher = {Springer, Heidelberg},
year = {2011},
mrclass = {60H15 (60F10)},
mrnumber = {2789078},
doi = {10.1007/978-3-642-15358-7\_3},
url = {https://doi.org/10.1007/978-3-642-15358-7_3}
}
@Article{ ortmann.quastel.ea:16:exact,
author = {Ortmann, Janosch and Quastel, Jeremy and Remenik, Daniel},
title = {Exact formulas for random growth with half-flat initial
data},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {1},
pages = {507--548},
issn = {1050-5164},
mrclass = {60K35 (60H15 82B23 82C22 82C23)},
mrnumber = {3449325},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves},
doi = {10.1214/15-AAP1099},
url = {https://doi.org/10.1214/15-AAP1099}
}
@Article{ ortmann.quastel.ea:17:pfaffian,
author = {Ortmann, Janosch and Quastel, Jeremy and Remenik, Daniel},
title = {A {P}faffian representation for flat {ASEP}},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {70},
year = {2017},
number = {1},
pages = {3--89},
issn = {0010-3640},
mrclass = {82C22 (05A15 60K35)},
mrnumber = {3581823},
doi = {10.1002/cpa.21644},
url = {https://doi.org/10.1002/cpa.21644}
}
@Article{ osada.shirai:16:absolute,
author = {Osada, Hirofumi and Shirai, Tomoyuki},
title = {Absolute continuity and singularity of {P}alm measures of
the {G}inibre point process},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {165},
year = {2016},
number = {3-4},
pages = {725--770},
issn = {0178-8051},
mrclass = {60G30 (60B20 60G55 60K35 82B21)},
mrnumber = {3520017},
doi = {10.1007/s00440-015-0644-6},
url = {https://doi.org/10.1007/s00440-015-0644-6}
}
@Article{ osaki.tsujikawa.ea:02:exponential,
author = {Osaki, Koichi and Tsujikawa, Tohru and Yagi, Atsushi and
Mimura, Masayasu},
title = {Exponential attractor for a chemotaxis-growth system of
equations},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {51},
year = {2002},
number = {1, Ser. A: Theory Methods},
pages = {119--144},
issn = {0362-546X},
mrclass = {37L30 (35B41 35K50 37N25 92C17)},
mrnumber = {1915744},
mrreviewer = {Philippe Lauren\c{c}ot},
doi = {10.1016/S0362-546X(01)00815-X},
url = {https://doi.org/10.1016/S0362-546X(01)00815-X}
}
@Article{ osaki.yagi:01:finite,
author = {Osaki, Koichi and Yagi, Atsushi},
title = {Finite dimensional attractor for one-dimensional
{K}eller-{S}egel equations},
journal = {Funkcial. Ekvac.},
fjournal = {Funkcialaj Ekvacioj. Serio Internacia},
volume = {44},
year = {2001},
number = {3},
pages = {441--469},
issn = {0532-8721},
mrclass = {37L30 (35B41 35K57 92C17)},
mrnumber = {1893940},
mrreviewer = {Philippe Lauren\c{c}ot},
url = {http://www.math.kobe-u.ac.jp/~fe/xml/mr1893940.xml}
}
@Article{ osgood.phillips.ea:88:extremals,
author = {Osgood, B. and Phillips, R. and Sarnak, P.},
title = {Extremals of determinants of {L}aplacians},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {80},
year = {1988},
number = {1},
pages = {148--211},
issn = {0022-1236},
mrclass = {58G25 (11F72 47F05 81E30)},
mrnumber = {960228},
mrreviewer = {Andreas Juhl},
doi = {10.1016/0022-1236(88)90070-5},
url = {https://doi.org/10.1016/0022-1236(88)90070-5}
}
@Article{ osgood:98:beweis,
author = {Osgood, W. F.},
title = {Beweis der {E}xistenz einer {L}\"{o}sung der
{D}ifferentialgleichung {$\frac{{dy}}{{dx}} = f\left( {x,y}
\right)$} ohne {H}inzunahme der {C}auchy-{L}ipschitz'schen
{B}edingung},
journal = {Monatsh. Math. Phys.},
fjournal = {Monatshefte f\"{u}r Mathematik und Physik},
volume = {9},
year = {1898},
number = {1},
pages = {331--345},
issn = {1812-8076},
mrclass = {DML},
mrnumber = {1546565},
doi = {10.1007/BF01707876},
url = {https://doi.org/10.1007/BF01707876}
}
@Article{ ostrowski:75:on,
author = {Ostrowski, A. M.},
title = {On multiplication and factorization of polynomials. {I}.
{L}exicographic orderings and extreme aggregates of terms},
journal = {Aequationes Math.},
fjournal = {Aequationes Mathematicae},
volume = {13},
year = {1975},
number = {3},
pages = {201--228},
issn = {0001-9054},
mrclass = {12E99},
mrnumber = {399060},
mrreviewer = {W. Ledermann},
doi = {10.1007/BF01836524},
url = {https://doi.org/10.1007/BF01836524}
}
@Book{ othmer.adler.ea:97:case,
title = {Case Studies in Mathematical Modeling--ecology,
Physiology, and Cell Biology},
author = {Othmer, H.G. and Adler, F.R. and Lewis, M.A. and Dallon,
J.C.},
isbn = {9780135740392},
lccn = {96047909},
series = {A Pearson Education print on demand edition},
url = {https://books.google.com/books?id=ueYUAQAAIAAJ},
year = {1997},
publisher = {Prentice Hall}
}
@Article{ othmer.dunbar.ea:88:models,
author = {Othmer, H. G. and Dunbar, S. R. and Alt, W.},
title = {Models of dispersal in biological systems},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {26},
year = {1988},
number = {3},
pages = {263--298},
issn = {0303-6812},
mrclass = {92A17 (60J99 92A15)},
mrnumber = {949094},
mrreviewer = {Yubo Ge},
doi = {10.1007/BF00277392},
url = {https://doi.org/10.1007/BF00277392}
}
@Article{ othmer.hillen:02:diffusion,
author = {Othmer, Hans G. and Hillen, Thomas},
title = {The diffusion limit of transport equations. {II}.
{C}hemotaxis equations},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {62},
year = {2002},
number = {4},
pages = {1222--1250},
issn = {0036-1399},
mrclass = {35Q80 (92C17)},
mrnumber = {1898520},
mrreviewer = {Qing Fang},
doi = {10.1137/S0036139900382772},
url = {https://doi.org/10.1137/S0036139900382772}
}
@Article{ othmer.stevens:97:aggregation,
author = {Othmer, Hans G. and Stevens, Angela},
title = {Aggregation, blowup, and collapse: the {ABC}s of taxis in
reinforced random walks},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {57},
year = {1997},
number = {4},
pages = {1044--1081},
issn = {0036-1399},
mrclass = {92B05 (60J15)},
mrnumber = {1462051},
mrreviewer = {Istv\'{a}n Ratk\'{o}},
doi = {10.1137/S0036139995288976},
url = {https://doi.org/10.1137/S0036139995288976}
}
@Article{ otobe:04:invariant,
author = {Otobe, Yoshiki},
title = {Invariant measures for {SPDE}s with reflection},
journal = {J. Math. Sci. Univ. Tokyo},
fjournal = {The University of Tokyo. Journal of Mathematical
Sciences},
volume = {11},
year = {2004},
number = {4},
pages = {425--446},
issn = {1340-5705},
mrclass = {60H15 (60G60 82C05)},
mrnumber = {2110922},
mrreviewer = {Giambattista Giacomin}
}
@Article{ otto.villani:00:generalization,
author = {Otto, F. and Villani, C.},
title = {Generalization of an inequality by {T}alagrand and links
with the logarithmic {S}obolev inequality},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {173},
year = {2000},
number = {2},
pages = {361--400},
issn = {0022-1236},
mrclass = {58J65 (28A35 60E15 60G15)},
mrnumber = {1760620},
mrreviewer = {Habib Ouerdiane},
doi = {10.1006/jfan.1999.3557},
url = {https://doi.org/10.1006/jfan.1999.3557}
}
@Article{ otto.weber:19:quasilinear,
author = {Otto, Felix and Weber, Hendrik},
title = {Quasilinear {SPDE}s via rough paths},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {232},
year = {2019},
number = {2},
pages = {873--950},
issn = {0003-9527},
mrclass = {60H30 (35G20 35R60 60H99)},
mrnumber = {3925533},
mrreviewer = {Antoine Hocquet},
doi = {10.1007/s00205-018-01335-8},
url = {https://doi.org/10.1007/s00205-018-01335-8}
}
@Article{ otto:01:geometry,
author = {Otto, Felix},
title = {The geometry of dissipative evolution equations: the
porous medium equation},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {26},
year = {2001},
number = {1-2},
pages = {101--174},
issn = {0360-5302},
mrclass = {35K57 (35K65 76S05)},
mrnumber = {1842429},
mrreviewer = {Antonio Fasano},
doi = {10.1081/PDE-100002243},
url = {https://doi.org/10.1081/PDE-100002243}
}
@Article{ ouhabaz.wang:07:sharp,
author = {Ouhabaz, El Maati and Wang, Feng-Yu},
title = {Sharp estimates for intrinsic ultracontractivity on
{$C^{1,\alpha}$}-domains},
journal = {Manuscripta Math.},
fjournal = {Manuscripta Mathematica},
volume = {122},
year = {2007},
number = {2},
pages = {229--244},
issn = {0025-2611},
mrclass = {58J65 (47D07 60J45)},
mrnumber = {2295114},
mrreviewer = {Zhen-Qing Chen},
doi = {10.1007/s00229-006-0065-z},
url = {https://doi.org/10.1007/s00229-006-0065-z}
}
@Book{ ouhabaz:05:analysis,
author = {Ouhabaz, El Maati},
title = {Analysis of heat equations on domains},
series = {London Mathematical Society Monographs Series},
volume = {31},
publisher = {Princeton University Press, Princeton, NJ},
year = {2005},
pages = {xiv+284},
isbn = {0-691-12016-1},
mrclass = {35-02 (35J70 35K20 47D06 47D07 47F05)},
mrnumber = {2124040},
mrreviewer = {Sergey G. Pyatkov}
}
@Article{ ouvrard:75:representation,
author = {Ouvrard, Jean-Yves},
title = {Repr\'{e}sentation de martingales vectorielles de
carr\'{e} int\'{e}grable \`a valeurs dans des espaces de
{H}ilbert r\'{e}els s\'{e}parables},
journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {33},
year = {1975/76},
number = {3},
pages = {195--208},
mrclass = {60G45 (60H05)},
mrnumber = {394862},
mrreviewer = {M. P. Er\v{s}ov},
doi = {10.1007/BF00534964},
url = {https://doi.org/10.1007/BF00534964}
}
@Article{ ouyang.pajda-de-la-o:19:on,
author = {Ouyang, Cheng and Pajda-De La O, Jennifer},
title = {On the law of the iterated logarithm for {B}rownian motion
on compact manifolds},
journal = {Sci. China Math.},
fjournal = {Science China. Mathematics},
volume = {62},
year = {2019},
number = {8},
pages = {1511--1518},
issn = {1674-7283},
mrclass = {60B10 (58D17)},
mrnumber = {3984387},
doi = {10.1007/s11425-017-9417-1},
url = {https://doi.org/10.1007/s11425-017-9417-1}
}
@Article{ ouyang.roberson-vickery:22:quasi-sure,
author = {Ouyang, Cheng and Roberson-Vickery, William},
title = {Quasi-sure non-self-intersection for rough differential
equations driven by fractional {B}rownian motion},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {27},
year = {2022},
pages = {Paper No. 15, 12},
mrclass = {60L20 (60H07 60H10)},
mrnumber = {4389157},
doi = {10.1214/22-ecp454},
url = {https://doi.org/10.1214/22-ecp454}
}
@Article{ ouyang.shi.ea:18:mutual,
author = {Ouyang, Cheng and Shi, Yinghui and Wu, Dongsheng},
title = {Mutual intersection for rough differential systems driven
by fractional {B}rownian motions},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {135},
year = {2018},
pages = {83--91},
issn = {0167-7152},
mrclass = {60G15 (60G22 60H10 60H99)},
mrnumber = {3758266},
mrreviewer = {Maria Jolis},
doi = {10.1016/j.spl.2017.11.012},
url = {https://doi.org/10.1016/j.spl.2017.11.012}
}
@Book{ ouyang:09:asymptotics,
author = {Ouyang, Cheng},
title = {Asymptotics of implied volatility in local volatility
models},
note = {Thesis (Ph.D.)--Northwestern University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2009},
pages = {69},
isbn = {978-1109-15002-5},
mrclass = {Thesis},
mrnumber = {2713142},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3355709}
}
@InCollection{ ouyang:17:multiplicative,
author = {Ouyang, Cheng},
title = {Multiplicative functional for the heat equation on
manifolds with boundary},
booktitle = {Stochastic analysis and related topics},
series = {Progr. Probab.},
volume = {72},
pages = {67--83},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2017},
mrclass = {58J35 (60J65)},
mrnumber = {3737624},
mrreviewer = {H\'{e}l\`ene Airault},
doi = {10.1007/978-3-319-59671-6\_3},
url = {https://doi.org/10.1007/978-3-319-59671-6_3}
}
@Book{ oxford:79:hamiltonian,
author = {Oxford, Stephen Charles},
title = {T{HE} {HAMILTONIAN} {OF} {THE} {QUANTIZED} {NONLINEAR}
{SCHROEDINGER} {EQUATION}},
note = {Thesis (Ph.D.)--University of California, Los Angeles},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1979},
pages = {208},
mrclass = {Thesis},
mrnumber = {2630325},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:8008510}
}
@Article{ painter.hillen:02:volume-filling,
author = {Painter, Kevin J. and Hillen, Thomas},
title = {Volume-filling and quorum-sensing in models for
chemosensitive movement},
journal = {Can. Appl. Math. Q.},
fjournal = {Canadian Applied Mathematics Quarterly},
volume = {10},
year = {2002},
number = {4},
pages = {501--543},
issn = {1073-1849},
mrclass = {92C17 (35K50 35K57 92C15)},
mrnumber = {2052525}
}
@Article{ painter.maini.ea:00:development,
author = {Painter, K. J. and Maini, P. K. and Othmer, H. G.},
title = {Development and applications of a model for cellular
response to multiple chemotactic cues},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {41},
year = {2000},
number = {4},
pages = {285--314},
issn = {0303-6812},
mrclass = {92C17},
mrnumber = {1788983},
doi = {10.1007/s002850000035},
url = {https://doi.org/10.1007/s002850000035}
}
@Article{ painter:19:mathematical,
author = {Painter, Kevin J.},
title = {Mathematical models for chemotaxis and their applications
in self-organisation phenomena},
journal = {J. Theoret. Biol.},
fjournal = {Journal of Theoretical Biology},
volume = {481},
year = {2019},
pages = {162--182},
issn = {0022-5193},
mrclass = {92C17},
mrnumber = {4007526},
doi = {10.1016/j.jtbi.2018.06.019},
url = {https://doi.org/10.1016/j.jtbi.2018.06.019}
}
@Article{ pajor-gyulai.salins:16:on,
author = {Pajor-Gyulai, Zsolt and Salins, Michael},
title = {On dynamical systems perturbed by a null-recurrent fast
motion: the continuous coefficient case with independent
driving noises},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {29},
year = {2016},
number = {3},
pages = {1083--1099},
issn = {0894-9840},
mrclass = {60H10 (60B10 60F05 60J60)},
mrnumber = {3540491},
mrreviewer = {Yong Chen},
doi = {10.1007/s10959-015-0600-5},
url = {https://doi.org/10.1007/s10959-015-0600-5}
}
@Article{ pajor-gyulai.salins:17:on,
author = {Pajor-Gyulai, Zs. and Salins, M.},
title = {On dynamical systems perturbed by a null-recurrent motion:
the general case},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {6},
pages = {1960--1997},
issn = {0304-4149},
mrclass = {60F05 (37H10 60F17 60H10 60J50 60J55)},
mrnumber = {3646437},
mrreviewer = {Paulo R. C. Ruffino},
doi = {10.1016/j.spa.2016.09.009},
url = {https://doi.org/10.1016/j.spa.2016.09.009}
}
@Article{ pal.sarantsev:19:note,
author = {Pal, Soumik and Sarantsev, Andrey},
title = {A note on transportation cost inequalities for diffusions
with reflections},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {24},
year = {2019},
pages = {Paper No. 21, 11},
mrclass = {60K35 (60H10 60J60 82C22)},
mrnumber = {3940196},
doi = {10.1214/19-ECP223},
url = {https://doi.org/10.1214/19-ECP223}
}
@Article{ pal.shkolnikov:14:concentration,
author = {Pal, Soumik and Shkolnikov, Mykhaylo},
title = {Concentration of measure for {B}rownian particle systems
interacting through their ranks},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {24},
year = {2014},
number = {4},
pages = {1482--1508},
issn = {1050-5164},
mrclass = {60K35 (60E15 60H10 82C22 91G10)},
mrnumber = {3211002},
doi = {10.1214/13-AAP954},
url = {https://doi.org/10.1214/13-AAP954}
}
@Article{ pal:12:concentration,
author = {Pal, Soumik},
title = {Concentration for multidimensional diffusions and their
boundary local times},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {154},
year = {2012},
number = {1-2},
pages = {225--254},
issn = {0178-8051},
mrclass = {60G17 (60J60)},
mrnumber = {2981423},
mrreviewer = {Antoine J. Lejay},
doi = {10.1007/s00440-011-0368-1},
url = {https://doi.org/10.1007/s00440-011-0368-1}
}
@Article{ palais:88:blowup,
author = {Palais, Bob},
title = {Blowup for nonlinear equations using a comparison
principle in {F}ourier space},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {41},
year = {1988},
number = {2},
pages = {165--196},
issn = {0010-3640},
mrclass = {35K55 (35B40)},
mrnumber = {924683},
mrreviewer = {Victor A. Galaktionov},
doi = {10.1002/cpa.3160410204},
url = {https://doi.org/10.1002/cpa.3160410204}
}
@Article{ palczewski.zabczyk:05:portfolio,
author = {Palczewski, Jan and Zabczyk, Jerzy},
title = {Portfolio diversification with {M}arkovian prices},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {25},
year = {2005},
number = {1, Acta Univ. Wratislav. No. 2784},
pages = {75--95},
issn = {0208-4147},
mrclass = {93E20 (49K45 60H10 60H30 91B28)},
mrnumber = {2211357},
mrreviewer = {Paolo Guasoni}
}
@Article{ palmer.beatty.ea:94:tau,
author = {Palmer, John and Beatty, Morris and Tracy, Craig A.},
title = {Tau functions for the {D}irac operator on the
{P}oincar\'{e} disk},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {165},
year = {1994},
number = {1},
pages = {97--173},
issn = {0010-3616},
mrclass = {58G26 (58F07 58Z05 81T10)},
mrnumber = {1298945},
mrreviewer = {Alan L. Carey},
url = {http://projecteuclid.org/euclid.cmp/1104271037}
}
@Article{ palmer.tracy:81:two-dimensional,
author = {Palmer, John and Tracy, Craig},
title = {Two-dimensional {I}sing correlations: convergence of the
scaling limit},
journal = {Adv. in Appl. Math.},
fjournal = {Advances in Applied Mathematics},
volume = {2},
year = {1981},
number = {3},
pages = {329--388},
issn = {0196-8858},
mrclass = {82A05 (82A67 82A68)},
mrnumber = {626865},
doi = {10.1016/0196-8858(81)90010-5},
url = {https://doi.org/10.1016/0196-8858(81)90010-5}
}
@Article{ palmer.tracy:83:two-dimensional,
author = {Palmer, John and Tracy, Craig},
title = {Two-dimensional {I}sing correlations: the {SMJ} analysis},
journal = {Adv. in Appl. Math.},
fjournal = {Advances in Applied Mathematics},
volume = {4},
year = {1983},
number = {1},
pages = {46--102},
issn = {0196-8858},
mrclass = {82A05 (58A15 81E05 82A68)},
mrnumber = {695532},
mrreviewer = {V. Rivasseau},
doi = {10.1016/0196-8858(83)90005-2},
url = {https://doi.org/10.1016/0196-8858(83)90005-2}
}
@InCollection{ palmer.tracy:90:monodromy,
author = {Palmer, John and Tracy, Craig A.},
title = {Monodromy preserving deformation of the {D}irac operator
acting on the hyperbolic plane},
booktitle = {Mathematics of nonlinear science ({P}hoenix, {AZ}, 1989)},
series = {Contemp. Math.},
volume = {108},
pages = {119--131},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1990},
mrclass = {81T40 (35Q40 58F07 82B23)},
mrnumber = {1068338},
mrreviewer = {Claus Montonen},
doi = {10.1090/conm/108/1068338},
url = {https://doi.org/10.1090/conm/108/1068338}
}
@Article{ pan.shang.ea:25:large,
author = {Pan, Tianyi and Shang, Shijie and Zhang, Tusheng},
title = {Large deviations of stochastic heat equations with
logarithmic nonlinearity},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {62},
year = {2025},
number = {2},
pages = {439--463},
issn = {0926-2601},
mrclass = {60H15 (35R60 60F10)},
mrnumber = {4866619},
doi = {10.1007/s11118-024-10142-8},
url = {https://doi.org/10.1007/s11118-024-10142-8}
}
@Article{ pan.zhou:10:circular,
author = {Pan, Guangming and Zhou, Wang},
title = {Circular law, extreme singular values and potential
theory},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {101},
year = {2010},
number = {3},
pages = {645--656},
issn = {0047-259X},
mrclass = {60B20 (15A18 31A10 60F10)},
mrnumber = {2575411},
doi = {10.1016/j.jmva.2009.08.005},
url = {https://doi.org/10.1016/j.jmva.2009.08.005}
}
@Article{ panchenko:05:question,
author = {Panchenko, Dmitry},
title = {A question about the {P}arisi functional},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {10},
year = {2005},
pages = {155--166},
issn = {1083-589X},
mrclass = {82B44 (60K40)},
mrnumber = {2162815},
mrreviewer = {Matthias Birkner},
doi = {10.1214/ECP.v10-1145},
url = {https://doi.org/10.1214/ECP.v10-1145}
}
@Article{ panchenko:10:connection,
author = {Panchenko, Dmitry},
title = {A connection between the {G}hirlanda-{G}uerra identities
and ultrametricity},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {1},
pages = {327--347},
issn = {0091-1798},
mrclass = {60K35 (60B20)},
mrnumber = {2599202},
mrreviewer = {Peter Eichelsbacher},
doi = {10.1214/09-AOP484},
url = {https://doi.org/10.1214/09-AOP484}
}
@Article{ panchenko:10:ghirlanda-guerra,
author = {Panchenko, Dmitry},
title = {The {G}hirlanda-{G}uerra identities for mixed {$p$}-spin
model},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {348},
year = {2010},
number = {3-4},
pages = {189--192},
issn = {1631-073X},
mrclass = {82B20 (60K35)},
mrnumber = {2600075},
doi = {10.1016/j.crma.2010.02.004},
url = {https://doi.org/10.1016/j.crma.2010.02.004}
}
@Article{ panchenko:10:on,
author = {Panchenko, Dmitry},
title = {On the {D}ovbysh-{S}udakov representation result},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {15},
year = {2010},
pages = {330--338},
mrclass = {60G09},
mrnumber = {2679002},
mrreviewer = {Xinxin Jiang},
doi = {10.1214/ECP.v15-1562},
url = {https://doi.org/10.1214/ECP.v15-1562}
}
@Article{ panchenko:11:ghirlanda-guerra,
author = {Panchenko, Dmitry},
title = {Ghirlanda-{G}uerra identities and ultrametricity: an
elementary proof in the discrete case},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {349},
year = {2011},
number = {13-14},
pages = {813--816},
issn = {1631-073X},
mrclass = {60K35 (60F17 60G09 60G57)},
mrnumber = {2825947},
doi = {10.1016/j.crma.2011.06.021},
url = {https://doi.org/10.1016/j.crma.2011.06.021}
}
@Article{ panchenko:12:sherrington-kirkpatrick,
author = {Panchenko, Dmitry},
title = {The {S}herrington-{K}irkpatrick model: an overview},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {149},
year = {2012},
number = {2},
pages = {362--383},
issn = {0022-4715},
mrclass = {82-02},
mrnumber = {2988963},
doi = {10.1007/s10955-012-0586-7},
url = {https://doi.org/10.1007/s10955-012-0586-7}
}
@Article{ panchenko:12:unified,
author = {Panchenko, Dmitry},
title = {A unified stability property in spin glasses},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {313},
year = {2012},
number = {3},
pages = {781--790},
issn = {0010-3616},
mrclass = {82B44 (60K35 82D30)},
mrnumber = {2945621},
mrreviewer = {Jos\'{e} Trashorras},
doi = {10.1007/s00220-012-1458-3},
url = {https://doi.org/10.1007/s00220-012-1458-3}
}
@Article{ panchenko:13:parisi,
author = {Panchenko, Dmitry},
title = {The {P}arisi ultrametricity conjecture},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {177},
year = {2013},
number = {1},
pages = {383--393},
issn = {0003-486X},
mrclass = {60G57 (82D30)},
mrnumber = {2999044},
mrreviewer = {Flora Koukiou},
doi = {10.4007/annals.2013.177.1.8},
url = {https://doi.org/10.4007/annals.2013.177.1.8}
}
@Book{ panchenko:13:sherrington-kirkpatrick,
author = {Panchenko, Dmitry},
title = {The {S}herrington-{K}irkpatrick model},
series = {Springer Monographs in Mathematics},
publisher = {Springer, New York},
year = {2013},
pages = {xii+156},
isbn = {978-1-4614-6288-0; 978-1-4614-6289-7},
mrclass = {82-02 (82B44 82D30)},
mrnumber = {3052333},
mrreviewer = {Jos\'{e} Trashorras},
doi = {10.1007/978-1-4614-6289-7},
url = {https://doi.org/10.1007/978-1-4614-6289-7}
}
@Article{ panchenko:14:parisi,
author = {Panchenko, Dmitry},
title = {The {P}arisi formula for mixed {$p$}-spin models},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {3},
pages = {946--958},
issn = {0091-1798},
mrclass = {60K35 (82B20)},
mrnumber = {3189062},
mrreviewer = {Pablo A. Ferrari},
doi = {10.1214/12-AOP800},
url = {https://doi.org/10.1214/12-AOP800}
}
@Book{ pandey:96:hilbert,
author = {Pandey, J. N.},
title = {The {H}ilbert transform of {S}chwartz distributions and
applications},
series = {Pure and Applied Mathematics (New York)},
note = {A Wiley-Interscience Publication},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1996},
pages = {xvi+262},
isbn = {0-471-03373-1},
mrclass = {44A15 (30E25 45E05 46F12 46N20)},
mrnumber = {1363489},
mrreviewer = {Norbert Ortner}
}
@Article{ pandolfi.priola.ea:13:linear,
author = {Pandolfi, Luciano and Priola, Enrico and Zabczyk, Jerzy},
title = {Linear operator inequality and null controllability with
vanishing energy for unbounded control systems},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {51},
year = {2013},
number = {1},
pages = {629--659},
issn = {0363-0129},
mrclass = {93C20 (93B05 93C25)},
mrnumber = {3032889},
mrreviewer = {Birgit Jacob},
doi = {10.1137/110846294},
url = {https://doi.org/10.1137/110846294}
}
@Article{ panigrahi.roy.ea:21:maximal,
author = {Panigrahi, Snigdha and Roy, Parthanil and Xiao, Yimin},
title = {Maximal moments and uniform modulus of continuity for
stable random fields},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {136},
year = {2021},
pages = {92--124},
issn = {0304-4149,1879-209X},
mrclass = {60G60 (60G17 60G52 60G70)},
mrnumber = {4238104},
mrreviewer = {Sreenivasan\ Ravi},
doi = {10.1016/j.spa.2021.02.002},
url = {https://doi.org/10.1016/j.spa.2021.02.002}
}
@Article{ panloup.tindel.ea:20:general,
author = {Panloup, Fabien and Tindel, Samy and Varvenne, Maylis},
title = {A general drift estimation procedure for stochastic
differential equations with additive fractional noise},
journal = {Electron. J. Stat.},
fjournal = {Electronic Journal of Statistics},
volume = {14},
year = {2020},
number = {1},
pages = {1075--1136},
mrclass = {62M09 (60G22 60H10 62F12)},
mrnumber = {4068875},
mrreviewer = {Qidi Peng},
doi = {10.1214/20-EJS1685},
url = {https://doi.org/10.1214/20-EJS1685}
}
@Book{ pao:92:nonlinear,
author = {Pao, C. V.},
title = {Nonlinear parabolic and elliptic equations},
publisher = {Plenum Press, New York},
year = {1992},
pages = {xvi+777},
isbn = {0-306-44343-0},
mrclass = {35-02 (35B35 35J60 35K55 35K57)},
mrnumber = {1212084},
mrreviewer = {Yoshihito Tomita}
}
@Article{ papadimitriou.yannakakis:91:shortest,
title = {Shortest paths without a map},
author = {Papadimitriou, Christos H and Yannakakis, Mihalis},
journal = {Theoretical Computer Science},
volume = {84},
number = {1},
pages = {127--150},
year = {1991},
publisher = {Elsevier}
}
@Article{ papangelou:67:strong,
author = {Papangelou, F.},
title = {Strong ratio limits, {$R$}-recurrence and mixing
properties of discrete parameter {M}arkov processes},
journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {8},
year = {1967},
pages = {259--297},
mrclass = {60.60 (28.00)},
mrnumber = {226728},
mrreviewer = {H. Kesten},
doi = {10.1007/BF00531592},
url = {https://doi.org/10.1007/BF00531592}
}
@InCollection{ papanicolaou.stroock.ea:77:martingale,
author = {Papanicolaou, G. C. and Stroock, D. and Varadhan, S. R.
S.},
title = {Martingale approach to some limit theorems},
booktitle = {Papers from the {D}uke {T}urbulence {C}onference ({D}uke
{U}niv., {D}urham, {N}.{C}., 1976)},
series = {Duke Univ. Math. Ser.},
volume = {Vol. III},
pages = {Paper No. 6, ii+120},
publisher = {Duke Univ., Durham, NC},
year = {1977},
mrclass = {60J60 (60F05 60G45 60H10)},
mrnumber = {461684},
mrreviewer = {Mark\ Pinsky}
}
@InCollection{ papanicolaou.varadhan:80:diffusion,
author = {Papanicolaou, G. C. and Varadhan, S. R. S.},
title = {Diffusion in regions with many small holes},
booktitle = {Stochastic differential systems ({P}roc. {IFIP}-{WG} 7/1
{W}orking {C}onf., {V}ilnius, 1978)},
series = {Lect. Notes Control Inf. Sci.},
volume = {25},
pages = {190--206},
publisher = {Springer, Berlin-New York},
year = {1980},
isbn = {3-540-10498-4},
mrclass = {60J60},
mrnumber = {609184},
mrreviewer = {Constantin\ Tudor}
}
@InCollection{ papanicolaou.varadhan:81:boundary,
author = {Papanicolaou, G. C. and Varadhan, S. R. S.},
title = {Boundary value problems with rapidly oscillating random
coefficients},
booktitle = {Random fields, {V}ol. {I}, {II} ({E}sztergom, 1979)},
series = {Colloq. Math. Soc. J\'anos Bolyai},
volume = {27},
pages = {835--873},
publisher = {North-Holland, Amsterdam-New York},
year = {1981},
isbn = {0-444-85441-X},
mrclass = {58G32 (35R60 60H10 82A05)},
mrnumber = {712714},
mrreviewer = {Jacques\ Vauthier}
}
@InCollection{ papanicolaou.varadhan:82:diffusions,
author = {Papanicolaou, George C. and Varadhan, S. R. S.},
title = {Diffusions with random coefficients},
booktitle = {Statistics and probability: essays in honor of {C}. {R}.
{R}ao},
pages = {547--552},
publisher = {North-Holland, Amsterdam},
year = {1982},
mrclass = {60J60},
mrnumber = {659505},
mrreviewer = {A.\ D.\ Borisenko}
}
@Article{ papini.flandoli.ea:23:turbulence,
author = {Papini, Andrea and Flandoli, Franco and Huang, Ruojun},
title = {Turbulence enhancement of coagulation: the role of eddy
diffusion in velocity},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {448},
year = {2023},
pages = {Paper No. 133726, 16},
issn = {0167-2789,1872-8022},
mrclass = {76F25 (82C22)},
mrnumber = {4562111},
doi = {10.1016/j.physd.2023.133726},
url = {https://doi.org/10.1016/j.physd.2023.133726}
}
@Article{ paquette.zeitouni:17:extremal,
author = {Paquette, Elliot and Zeitouni, Ofer},
title = {Extremal eigenvalue correlations in the {GUE} minor
process and a law of fractional logarithm},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {6A},
pages = {4112--4166},
issn = {0091-1798,2168-894X},
mrclass = {60B20 (60F99)},
mrnumber = {3729625},
mrreviewer = {Ji\v{r}\'{i}\ \v{C}ern\'{y}},
doi = {10.1214/16-AOP1161},
url = {https://doi.org/10.1214/16-AOP1161}
}
@Article{ paquette.zeitouni:18:maximum,
author = {Paquette, Elliot and Zeitouni, Ofer},
title = {The maximum of the {CUE} field},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2018},
number = {16},
pages = {5028--5119},
issn = {1073-7928,1687-0247},
mrclass = {60B20 (60G15)},
mrnumber = {3848227},
mrreviewer = {Longmin\ Wang},
doi = {10.1093/imrn/rnx033},
url = {https://doi.org/10.1093/imrn/rnx033}
}
@Article{ pardoux.peng:94:backward,
author = {Pardoux, \'{E}tienne and Peng, Shi Ge},
title = {Backward doubly stochastic differential equations and
systems of quasilinear {SPDE}s},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {98},
year = {1994},
number = {2},
pages = {209--227},
issn = {0178-8051},
mrclass = {60H10 (60H15)},
mrnumber = {1258986},
mrreviewer = {Daniel Ocone},
doi = {10.1007/BF01192514},
url = {https://doi.org/10.1007/BF01192514}
}
@Article{ pardoux.piatnitski:12:homogenization,
author = {Pardoux, \'{E}tienne and Piatnitski, Andrey},
title = {Homogenization of a singular random one-dimensional {PDE}
with time-varying coefficients},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {3},
pages = {1316--1356},
issn = {0091-1798},
mrclass = {60H25 (35B27 35K15 74Q10)},
mrnumber = {2962093},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/11-AOP650},
url = {https://doi.org/10.1214/11-AOP650}
}
@Article{ pardoux.protter:90:stochastic,
author = {Pardoux, \'{E}tienne and Protter, Philip},
title = {Stochastic {V}olterra equations with anticipating
coefficients},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {18},
year = {1990},
number = {4},
pages = {1635--1655},
issn = {0091-1798},
mrclass = {60H20 (60H05 60H07)},
mrnumber = {1071815},
mrreviewer = {Daniel Ocone},
url = {http://links.jstor.org/sici?sici=0091-1798(199010)18:4<1635:SVEWAC>2.0.CO;2-9&origin=MSN}
}
@Article{ pardoux.zeitouni:04:quenched,
author = {Pardoux, \'{E}tienne and Zeitouni, Ofer},
title = {Quenched large deviations for one dimensional nonlinear
filtering},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {43},
year = {2004/05},
number = {4},
pages = {1272--1297},
issn = {0363-0129,1095-7138},
mrclass = {60F10 (93E11)},
mrnumber = {2124273},
mrreviewer = {Zhongmin\ Qian},
doi = {10.1137/S0363012903365032},
url = {https://doi.org/10.1137/S0363012903365032}
}
@Article{ pardoux.zhang:93:absolute,
author = {Pardoux, \'{E}tienne and Zhang, Tu Sheng},
title = {Absolute continuity of the law of the solution of a
parabolic {SPDE}},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {112},
year = {1993},
number = {2},
pages = {447--458},
issn = {0022-1236},
mrclass = {60H15},
mrnumber = {1213146},
mrreviewer = {David Nualart},
doi = {10.1006/jfan.1993.1040},
url = {https://doi.org/10.1006/jfan.1993.1040}
}
@Book{ pardoux:21:stochastic,
author = {Pardoux, \'{E}tienne},
title = {Stochastic partial differential equations---an
introduction},
series = {SpringerBriefs in Mathematics},
publisher = {Springer, Cham},
year = {[2021] \copyright 2021},
pages = {viii+74},
isbn = {978-3-030-89002-5; 978-3-030-89003-2},
mrclass = {60-01 (35R60 60G35 60H07 60H15 60J68)},
mrnumber = {4385528},
doi = {10.1007/978-3-030-89003-2},
url = {https://doi.org/10.1007/978-3-030-89003-2}
}
@InCollection{ pardoux:75:equations,
author = {Pardoux, E.},
title = {\'{E}quations aux d\'{e}riv\'{e}es partielles
stochastiques de type monotone},
booktitle = {S\'{e}minaire sur les \'{E}quations aux {D}\'{e}riv\'{e}es
{P}artielles (1974--1975), {III}},
pages = {Exp. No. 2, 10},
publisher = {Coll\`ege de France, Paris},
year = {1975},
mrclass = {60H15 (35R99)},
mrnumber = {0651582}
}
@Article{ pardoux:79:stochastic,
author = {Pardoux, E.},
title = {Stochastic partial differential equations and filtering of
diffusion processes},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {3},
year = {1979},
number = {2},
pages = {127--167},
issn = {0090-9491},
mrclass = {60H15 (60G25 62M20)},
mrnumber = {553909},
mrreviewer = {B. L. Rozovski\u{\i}},
doi = {10.1080/17442507908833142},
url = {https://doi.org/10.1080/17442507908833142}
}
@Article{ pardoux:93:stochastic,
author = {Pardoux, \'{E}.},
title = {Stochastic partial differential equations, a review},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {117},
year = {1993},
number = {1},
pages = {29--47},
issn = {0007-4497},
mrclass = {60H15},
mrnumber = {1205410},
mrreviewer = {Constantin Tudor}
}
@InCollection{ paris:10:incomplete,
author = {Paris, R. B.},
title = {Incomplete gamma and related functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {175--192},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33B20},
mrnumber = {2655348}
}
@InCollection{ paris:10:struve,
author = {Paris, R. B.},
title = {Struve and related functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {287--301},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C10 (33E20)},
mrnumber = {2655351}
}
@Article{ parisi.wu:81:perturbation,
author = {Parisi, G. and Wu, Yong Shi},
title = {Perturbation theory without gauge fixing},
journal = {Sci. Sinica},
fjournal = {Scientia Sinica. Zhongguo Kexue},
volume = {24},
year = {1981},
number = {4},
pages = {483--496},
issn = {0582-236x},
mrclass = {81E99},
mrnumber = {626795}
}
@Article{ parisi.zhang:85:field,
author = {Parisi, Giorgio and Zhang, Yi Cheng},
title = {Field theories and growth models},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {41},
year = {1985},
number = {1-2},
pages = {1--16},
issn = {0022-4715},
mrclass = {82A31 (81E15)},
mrnumber = {813012},
mrreviewer = {R. T. Smythe},
doi = {10.1007/BF01020601},
url = {https://doi.org/10.1007/BF01020601}
}
@Article{ parisi:83:order,
author = {Parisi, Giorgio},
title = {Order parameter for spin-glasses},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {50},
year = {1983},
number = {24},
pages = {1946--1948},
issn = {0031-9007},
mrclass = {82A57},
mrnumber = {702601},
doi = {10.1103/PhysRevLett.50.1946},
url = {https://doi.org/10.1103/PhysRevLett.50.1946}
}
@Article{ parisi:90:on,
author = {Parisi, Giorgio},
title = {On the one-dimensional discretized string},
journal = {Phys. Lett. B},
fjournal = {Physics Letters. B. Particle Physics, Nuclear Physics and
Cosmology},
volume = {238},
year = {1990},
number = {2-4},
pages = {209--212},
issn = {0370-2693},
mrclass = {81T30 (81T40)},
mrnumber = {1050719},
doi = {10.1016/0370-2693(90)91722-N},
url = {https://doi.org/10.1016/0370-2693(90)91722-N}
}
@Article{ park.xiao.ea:20:uniform,
author = {Park, Hyunchul and Xiao, Yimin and Yang, Xiaochuan},
title = {Uniform dimension results for the inverse images of
symmetric {L}\'{e}vy processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {33},
year = {2020},
number = {4},
pages = {2213--2232},
issn = {0894-9840,1572-9230},
mrclass = {60J76 (28A80 60G17 60G52)},
mrnumber = {4166197},
mrreviewer = {Danijel\ Grahovac},
doi = {10.1007/s10959-019-00956-3},
url = {https://doi.org/10.1007/s10959-019-00956-3}
}
@Article{ park.xiao:23:spectral,
author = {Park, Hyunchul and Xiao, Yimin},
title = {Spectral heat content on a class of fractal sets for
subordinate killed {B}rownian motions},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {296},
year = {2023},
number = {9},
pages = {4192--4205},
issn = {0025-584X,1522-2616},
mrclass = {60G52 (28A80 35K05)},
mrnumber = {4644558}
}
@Article{ park:75:43,
author = {Park, Yong Moon},
title = {The {$\lambda \phi^{4}_{3}$} {E}uclidean quantum field
theory in a periodic box},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {16},
year = {1975},
number = {11},
pages = {2183--2188},
issn = {0022-2488},
mrclass = {81.46},
mrnumber = {386524},
mrreviewer = {Pierre Hillion},
doi = {10.1063/1.522464},
url = {https://doi.org/10.1063/1.522464}
}
@Article{ park:77:convergence,
author = {Park, Yong Moon},
title = {Convergence of lattice approximations and infinite volume
limit in the {$(\lambda \phi ^{4}-\sigma \phi ^{2}-\tau
\phi )_{3}$} field theory},
journal = {J. Mathematical Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {18},
year = {1977},
number = {3},
pages = {354--366},
issn = {0022-2488},
mrclass = {81.47},
mrnumber = {432062},
mrreviewer = {Pierre Hillion},
doi = {10.1063/1.523277},
url = {https://doi.org/10.1063/1.523277}
}
@Article{ parnell.borio.ea:08:scientists,
title = {Scientists urge {DHS} to improve bioterrorism risk
assessment},
author = {Parnell, Gregory S and Borio, Luciana L and Brown, Gerald
G and Banks, David and Wilson, Alyson G},
journal = {Biosecurity and Bioterrorism},
volume = {6},
number = {4},
pages = {353--356},
year = {2008},
publisher = {Mary Ann Liebert, Inc. 2 Madison Avenue Larchmont, NY
10538 USA}
}
@Article{ parthasarathy.ranga-rao.ea:63:probability,
author = {Parthasarathy, K. R. and Ranga Rao, R. and Varadhan, S. R.
S.},
title = {Probability distributions on locally compact abelian
groups},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {7},
year = {1963},
pages = {337--369},
issn = {0019-2082},
mrclass = {60.08},
mrnumber = {190968},
mrreviewer = {D.\ Sz\'asz},
url = {http://projecteuclid.org/euclid.ijm/1255644642}
}
@Book{ parthasarathy:05:probability,
author = {Parthasarathy, K. R.},
title = {Probability measures on metric spaces},
note = {Reprint of the 1967 original},
publisher = {AMS Chelsea Publishing, Providence, RI},
year = {2005},
pages = {xii+276},
isbn = {0-8218-3889-X},
mrclass = {60-02 (28A33 28C15 60B05 60B10 60B11 60B15)},
mrnumber = {2169627},
doi = {10.1090/chel/352},
url = {https://doi.org/10.1090/chel/352}
}
@Article{ pastur.shcherbina:91:absence,
author = {Pastur, L. A. and Shcherbina, M. V.},
title = {Absence of self-averaging of the order parameter in the
{S}herrington-{K}irkpatrick model},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {62},
year = {1991},
number = {1-2},
pages = {1--19},
issn = {0022-4715},
mrclass = {82B44 (82D30)},
mrnumber = {1105253},
mrreviewer = {Klaus Ziegler},
doi = {10.1007/BF01020856},
url = {https://doi.org/10.1007/BF01020856}
}
@Article{ pastur.shcherbina:97:universality,
author = {Pastur, L. and Shcherbina, M.},
title = {Universality of the local eigenvalue statistics for a
class of unitary invariant random matrix ensembles},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {86},
year = {1997},
number = {1-2},
pages = {109--147},
issn = {0022-4715},
mrclass = {82B41 (15A52 33C50)},
mrnumber = {1435193},
mrreviewer = {Oleksiy Khorunzhiy},
doi = {10.1007/BF02180200},
url = {https://doi.org/10.1007/BF02180200}
}
@Article{ pastur:72:spectrum,
author = {Pastur, L. A.},
title = {The spectrum of random matrices},
journal = {Teoret. Mat. Fiz.},
fjournal = {Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya
Fizika},
volume = {10},
year = {1972},
number = {1},
pages = {102--112},
issn = {0564-6162},
mrclass = {81.60},
mrnumber = {475502}
}
@Article{ patlak:53:random,
author = {Patlak, Clifford S.},
title = {Random walk with persistence and external bias},
journal = {Bull. Math. Biophys.},
fjournal = {The Bulletin of Mathematical Biophysics},
volume = {15},
year = {1953},
pages = {311--338},
issn = {0007-4985},
mrclass = {60.0X},
mrnumber = {81586},
mrreviewer = {H. P. Edmundson},
doi = {10.1007/bf02476407},
url = {https://doi.org/10.1007/bf02476407}
}
@Article{ paul:07:asymptotics,
author = {Paul, Debashis},
title = {Asymptotics of sample eigenstructure for a large
dimensional spiked covariance model},
journal = {Statist. Sinica},
fjournal = {Statistica Sinica},
volume = {17},
year = {2007},
number = {4},
pages = {1617--1642},
issn = {1017-0405},
mrclass = {62H20 (15A18)},
mrnumber = {2399865},
mrreviewer = {Anouar Ben Mabrouk}
}
@Article{ paulin:15:concentration,
author = {Paulin, Daniel},
title = {Concentration inequalities for {M}arkov chains by {M}arton
couplings and spectral methods},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {20},
year = {2015},
pages = {no. 79, 32},
mrclass = {60J05 (60E15 60J10)},
mrnumber = {3383563},
mrreviewer = {Ramon van Handel},
doi = {10.1214/EJP.v20-4039},
url = {https://doi.org/10.1214/EJP.v20-4039}
}
@Article{ pavlyukevich.pilipenko:20:generalized,
author = {Pavlyukevich, Ilya and Pilipenko, Andrey},
title = {Generalized {P}eano problem with {L}\'{e}vy noise},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {25},
year = {2020},
pages = {Paper No. 85, 14},
mrclass = {60H10 (60F05 60G51)},
mrnumber = {4195179},
mrreviewer = {Rafa\l Marcin \L ochowski},
doi = {10.1214/20-ecp365},
url = {https://doi.org/10.1214/20-ecp365}
}
@Article{ payne.song:10:blow-up,
author = {Payne, L. E. and Song, J. C.},
title = {Blow-up and decay criteria for a model of chemotaxis},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {367},
year = {2010},
number = {1},
pages = {1--6},
issn = {0022-247X},
mrclass = {35K51 (35A01 35B44 92C17)},
mrnumber = {2600372},
doi = {10.1016/j.jmaa.2009.11.025},
url = {https://doi.org/10.1016/j.jmaa.2009.11.025}
}
@Article{ payne.song:12:lower,
author = {Payne, L. E. and Song, J. C.},
title = {Lower bounds for blow-up in a model of chemotaxis},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {385},
year = {2012},
number = {2},
pages = {672--676},
issn = {0022-247X},
mrclass = {35K51 (35B44 35K91 35Q92 92C17)},
mrnumber = {2834842},
mrreviewer = {Lubomira G. Softova},
doi = {10.1016/j.jmaa.2011.06.086},
url = {https://doi.org/10.1016/j.jmaa.2011.06.086}
}
@Article{ payne.straughan:09:decay,
author = {Payne, L. E. and Straughan, B.},
title = {Decay for a {K}eller-{S}egel chemotaxis model},
journal = {Stud. Appl. Math.},
fjournal = {Studies in Applied Mathematics},
volume = {123},
year = {2009},
number = {4},
pages = {337--360},
issn = {0022-2526},
mrclass = {35K57 (35B44 92C17)},
mrnumber = {2561080},
mrreviewer = {Dimitrios E. Tzanetis},
doi = {10.1111/j.1467-9590.2009.00457.x},
url = {https://doi.org/10.1111/j.1467-9590.2009.00457.x}
}
@Book{ pazy:83:semigroups,
author = {Pazy, A.},
title = {Semigroups of linear operators and applications to partial
differential equations},
series = {Applied Mathematical Sciences},
volume = {44},
publisher = {Springer-Verlag, New York},
year = {1983},
pages = {viii+279},
isbn = {0-387-90845-5},
mrclass = {47D05 (34Gxx 35Fxx 35Gxx 47H20)},
mrnumber = {710486},
mrreviewer = {H. O. Fattorini},
doi = {10.1007/978-1-4612-5561-1},
url = {https://doi.org/10.1007/978-1-4612-5561-1}
}
@Article{ pearson:05:problem,
author = "PEARSON, KARL",
title = "The Problem of the Random Walk",
journal = "Nature",
year = "1905",
month = "Jul",
day = "01",
volume = "72",
number = "1865",
pages = "294--294",
issn = "1476-4687",
doi = "10.1038/072294b0",
url = "https://doi.org/10.1038/072294b0"
}
@Book{ peccati.taqqu:11:wiener,
author = {Peccati, Giovanni and Taqqu, Murad S.},
title = {Wiener chaos: moments, cumulants and diagrams},
series = {Bocconi \& Springer Series},
volume = {1},
note = {A survey with computer implementation, Supplementary
material available online},
publisher = {Springer, Milan; Bocconi University Press, Milan},
year = {2011},
pages = {xiv+274},
isbn = {978-88-470-1678-1},
mrclass = {60H05 (05D40 60-08 60G15 60H30 65Cxx)},
mrnumber = {2791919},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1007/978-88-470-1679-8},
url = {https://doi.org/10.1007/978-88-470-1679-8}
}
@InCollection{ peccati.tudor:05:gaussian,
author = {Peccati, Giovanni and Tudor, Ciprian A.},
title = {Gaussian limits for vector-valued multiple stochastic
integrals},
booktitle = {S\'eminaire de {P}robabilit\'es {XXXVIII}},
series = {Lecture Notes in Math.},
volume = {1857},
pages = {247--262},
publisher = {Springer, Berlin},
year = {2005},
isbn = {3-540-23973-1},
mrclass = {60H05},
mrnumber = {2126978},
mrreviewer = {David\ Nualart},
doi = {10.1007/978-3-540-31449-3\_17},
url = {https://doi.org/10.1007/978-3-540-31449-3_17}
}
@Article{ peche.soshnikov:07:wigner,
author = {P\'ech\'e, Sandrine and Soshnikov, Alexander},
title = {Wigner random matrices with non-symmetrically distributed
entries},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {129},
year = {2007},
number = {5-6},
pages = {857--884},
issn = {0022-4715,1572-9613},
mrclass = {82B44 (15A52)},
mrnumber = {2363385},
mrreviewer = {Vladislav\ Kargin},
doi = {10.1007/s10955-007-9340-y},
url = {https://doi.org/10.1007/s10955-007-9340-y}
}
@Article{ peche:06:largest,
author = {P\'ech\'e, S.},
title = {The largest eigenvalue of small rank perturbations of
{H}ermitian random matrices},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {134},
year = {2006},
number = {1},
pages = {127--173},
issn = {0178-8051,1432-2064},
mrclass = {15A52 (60F05 82B44)},
mrnumber = {2221787},
mrreviewer = {Pavel\ T.\ Stoynov},
doi = {10.1007/s00440-005-0466-z},
url = {https://doi.org/10.1007/s00440-005-0466-z}
}
@Article{ peche:09:universality,
author = {P\'ech\'e, Sandrine},
title = {Universality results for the largest eigenvalues of some
sample covariance matrix ensembles},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {143},
year = {2009},
number = {3-4},
pages = {481--516},
issn = {0178-8051,1432-2064},
mrclass = {60B12 (60C05)},
mrnumber = {2475670},
mrreviewer = {Florent\ Benaych-Georges},
doi = {10.1007/s00440-007-0133-7},
url = {https://doi.org/10.1007/s00440-007-0133-7}
}
@Article{ pechenik.levine:99:interfacial,
title = {Interfacial velocity corrections due to multiplicative
noise},
author = {Pechenik, Leonid and Levine, Herbert},
journal = {Phys. Rev. E},
volume = {59},
issue = {4},
pages = {3893--3900},
numpages = {0},
year = {1999},
month = {Apr},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.59.3893},
url = {https://link.aps.org/doi/10.1103/PhysRevE.59.3893}
}
@Article{ pei.xi.ea:21:active,
author = {Pei, Wenyi and Xi, Yuejuan and Hu, Yaozhong and Yan,
Litan},
title = {Active disturbance rejection control approach to
output-feedback stabilization of nonlinear system with
{L}\'{e}vy noises},
journal = {Systems Control Lett.},
fjournal = {Systems \& Control Letters},
volume = {150},
year = {2021},
pages = {Paper No. 104898, 7},
issn = {0167-6911},
mrclass = {93D15 (93E11 93E15)},
mrnumber = {4226446},
doi = {10.1016/j.sysconle.2021.104898},
url = {https://doi.org/10.1016/j.sysconle.2021.104898}
}
@Article{ peled.sen.ea:16:double,
author = {Peled, Ron and Sen, Arnab and Zeitouni, Ofer},
title = {Double roots of random {L}ittlewood polynomials},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {213},
year = {2016},
number = {1},
pages = {55--77},
issn = {0021-2172,1565-8511},
mrclass = {60G99 (05E05 11C08)},
mrnumber = {3509468},
mrreviewer = {Nizar\ Demni},
doi = {10.1007/s11856-016-1328-3},
url = {https://doi.org/10.1007/s11856-016-1328-3}
}
@Article{ peligrad.sang.ea:22:limit,
author = {Peligrad, Magda and Sang, Hailin and Xiao, Yimin and Yang,
Guangyu},
title = {Limit theorems for linear random fields with innovations
in the domain of attraction of a stable law},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {150},
year = {2022},
pages = {596--621},
issn = {0304-4149,1879-209X},
mrclass = {60G60 (60F05 60G52 62M40)},
mrnumber = {4433071},
mrreviewer = {A.\ Ya.\ Olenko},
doi = {10.1016/j.spa.2022.05.003},
url = {https://doi.org/10.1016/j.spa.2022.05.003}
}
@Article{ pelissetto.vicari:02:critical,
author = {Pelissetto, Andrea and Vicari, Ettore},
title = {Critical phenomena and renormalization-group theory},
journal = {Phys. Rep.},
fjournal = {Physics Reports. A Review Section of Physics Letters},
volume = {368},
year = {2002},
number = {6},
pages = {549--727},
issn = {0370-1573},
mrclass = {82B28 (82-02 82B20 82B27)},
mrnumber = {1931748},
doi = {10.1016/S0370-1573(02)00219-3},
url = {https://doi.org/10.1016/S0370-1573(02)00219-3}
}
@InCollection{ pemantle.peres:94:planar,
author = {Pemantle, R. and Peres, Y.},
title = {Planar first-passage percolation times are not tight},
booktitle = {Probability and phase transition ({C}ambridge, 1993)},
series = {NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci.},
volume = {420},
pages = {261--264},
publisher = {Kluwer Acad. Publ., Dordrecht},
year = {1994},
mrclass = {60K35 (82B43)},
mrnumber = {1283187},
mrreviewer = {Rahul Roy},
doi = {10.1007/978-94-015-8326-8\_16},
url = {https://doi.org/10.1007/978-94-015-8326-8_16}
}
@Book{ pena.gine:99:decoupling,
author = {de la Pe\~{n}a, V\'{i}ctor H. and Gin\'{e}, Evarist},
title = {Decoupling},
series = {Probability and its Applications (New York)},
note = {From dependence to independence, Randomly stopped
processes. $U$-statistics and processes. Martingales and
beyond},
publisher = {Springer-Verlag, New York},
year = {1999},
pages = {xvi+392},
isbn = {0-387-98616-2},
mrclass = {60E15 (60B12 60F05 60F15 60F17 60G40)},
mrnumber = {1666908},
mrreviewer = {Miguel A. Arcones},
doi = {10.1007/978-1-4612-0537-1},
url = {https://doi.org/10.1007/978-1-4612-0537-1}
}
@Article{ peng.buldyrev.ea:92:long-range,
author = "Peng, C.-K. and Buldyrev, S. V. and Goldberger, A. L. and
Havlin, S. and Sciortino, F. and Simons, M. and Stanley, H.
E.",
title = "Long-range correlations in nucleotide sequences",
journal = "Nature",
year = "1992",
month = "Mar",
day = "01",
volume = "356",
number = "6365",
pages = "168--170",
issn = "1476-4687",
doi = "10.1038/356168a0",
url = "https://doi.org/10.1038/356168a0"
}
@Article{ peng.havlin.ea:91:directed-polymer,
title = {Directed-polymer and ballistic-deposition growth with
correlated noise},
author = {Peng, Chung-Kang and Havlin, Shlomo and Schwartz, Moshe
and Stanley, H. Eugene},
journal = {Phys. Rev. A},
volume = {44},
issue = {4},
pages = {R2239--R2242},
numpages = {0},
year = {1991},
month = {Aug},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.44.R2239},
url = {https://link.aps.org/doi/10.1103/PhysRevA.44.R2239}
}
@Article{ peng.li:13:diffusions,
author = {Peng, Jun and Li, WenBo V.},
title = {Diffusions with holding and jumping boundary},
journal = {Sci. China Math.},
fjournal = {Science China. Mathematics},
volume = {56},
year = {2013},
number = {1},
pages = {161--176},
issn = {1674-7283,1869-1862},
mrclass = {60J50 (60J60)},
mrnumber = {3016590},
mrreviewer = {Ren\ Ming\ Song},
doi = {10.1007/s11425-012-4416-9},
url = {https://doi.org/10.1007/s11425-012-4416-9}
}
@Book{ penrose:03:random,
author = {Penrose, Mathew},
title = {Random geometric graphs},
series = {Oxford Studies in Probability},
volume = {5},
publisher = {Oxford University Press, Oxford},
year = {2003},
pages = {xiv+330},
isbn = {0-19-850626-0},
mrclass = {60-02 (05C80 60D05)},
mrnumber = {1986198},
mrreviewer = {Ilya S. Molchanov},
doi = {10.1093/acprof:oso/9780198506263.001.0001},
url = {https://doi.org/10.1093/acprof:oso/9780198506263.001.0001}
}
@Article{ peral.vazquez:95:on,
author = {Peral, I. and V\'{a}zquez, J. L.},
title = {On the stability or instability of the singular solution
of the semilinear heat equation with exponential reaction
term},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {129},
year = {1995},
number = {3},
pages = {201--224},
issn = {0003-9527},
mrclass = {35B35 (35K55)},
mrnumber = {1328476},
mrreviewer = {Qing Fang},
doi = {10.1007/BF00383673},
url = {https://doi.org/10.1007/BF00383673}
}
@Article{ peres.virag:05:zeros,
author = {Peres, Yuval and Vir\'{a}g, B\'{a}lint},
title = {Zeros of the i.i.d. {G}aussian power series: a conformally
invariant determinantal process},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {194},
year = {2005},
number = {1},
pages = {1--35},
issn = {0001-5962},
mrclass = {60G99 (60G15)},
mrnumber = {2231337},
mrreviewer = {Tomohiro Sasamoto},
doi = {10.1007/BF02392515},
url = {https://doi.org/10.1007/BF02392515}
}
@Article{ peres.zeitouni:08:central,
author = {Peres, Yuval and Zeitouni, Ofer},
title = {A central limit theorem for biased random walks on
{G}alton-{W}atson trees},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {140},
year = {2008},
number = {3-4},
pages = {595--629},
issn = {0178-8051},
mrclass = {60K37 (60F05 60J80)},
mrnumber = {2365486},
mrreviewer = {Serguei Popov},
doi = {10.1007/s00440-007-0077-y},
url = {https://doi.org/10.1007/s00440-007-0077-y}
}
@Book{ perkins.lach:11:viscoelasticity,
author = "Perkins, Jennifer N. and Lach, Tyler M.",
title = "Viscoelasticity : theories, types and models",
publisher = "Nova Science Publishers",
year = "2011",
series = "Materials science and technologies series",
url = "https://cir.nii.ac.jp/crid/1130282268654343936"
}
@InCollection{ perkins:02:dawson-watanabe,
author = {Perkins, Edwin},
title = {Dawson-{W}atanabe superprocesses and measure-valued
diffusions},
booktitle = {Lectures on probability theory and statistics
({S}aint-{F}lour, 1999)},
series = {Lecture Notes in Math.},
volume = {1781},
pages = {125--324},
publisher = {Springer, Berlin},
year = {2002},
mrclass = {60G57 (60H15 60J80 60K35)},
mrnumber = {1915445},
mrreviewer = {Anton Wakolbinger}
}
@Article{ perkins:82:local,
author = {Perkins, Edwin},
title = {Local time is a semimartingale},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {60},
year = {1982},
number = {1},
pages = {79--117},
issn = {0044-3719},
mrclass = {60J65 (60G44)},
mrnumber = {661760},
mrreviewer = {E. \c{C}inlar},
doi = {10.1007/BF01957098},
url = {https://doi.org/10.1007/BF01957098}
}
@InCollection{ perkins:82:local*1,
author = {Perkins, Edwin},
title = {Local time and pathwise uniqueness for stochastic
differential equations},
booktitle = {Seminar on {P}robability, {XVI}},
series = {Lecture Notes in Math.},
volume = {920},
pages = {201--208},
publisher = {Springer, Berlin-New York},
year = {1982},
mrclass = {60H10},
mrnumber = {658680},
mrreviewer = {Toshio Yamada}
}
@Book{ perko:01:differential,
author = {Perko, Lawrence},
title = {Differential equations and dynamical systems},
series = {Texts in Applied Mathematics},
volume = {7},
edition = {Third},
publisher = {Springer-Verlag, New York},
year = {2001},
pages = {xiv+553},
isbn = {0-387-95116-4},
mrclass = {34-01 (34Cxx 37-01 37C10)},
mrnumber = {1801796},
mrreviewer = {Vladimir Sh. Burd},
doi = {10.1007/978-1-4613-0003-8},
url = {https://doi.org/10.1007/978-1-4613-0003-8}
}
@Article{ perrin:09:mouvement,
title = {Mouvement brownien et r{\'e}alit{\'e} mol{\'e}culaire},
author = {Perrin, Jean},
year = {1909},
pages = {5--114},
volume = {18},
number = {8},
journal = {Annales de chimie et de physique}
}
@Article{ perry.sigal.ea:81:spectral,
author = {Perry, P. and Sigal, I. M. and Simon, B.},
title = {Spectral analysis of {$N$}-body {S}chr\"odinger operators},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {114},
year = {1981},
number = {3},
pages = {519--567},
issn = {0003-486X},
mrclass = {81F10 (35P05 47F05)},
mrnumber = {634428},
mrreviewer = {Evans\ M.\ Harrell},
doi = {10.2307/1971301},
url = {https://doi.org/10.2307/1971301}
}
@Article{ perthame:04:pde,
author = {Perthame, Beno\^{i}t},
title = {P{DE} models for chemotactic movements: parabolic,
hyperbolic and kinetic},
journal = {Appl. Math.},
fjournal = {Applications of Mathematics},
volume = {49},
year = {2004},
number = {6},
pages = {539--564},
issn = {0862-7940},
mrclass = {35Q80 (35B40 35D05 35K65 92C17)},
mrnumber = {2099980},
mrreviewer = {Dirk Horstmann},
doi = {10.1007/s10492-004-6431-9},
url = {https://doi.org/10.1007/s10492-004-6431-9}
}
@Book{ perthame:07:transport,
author = {Perthame, Beno\^{i}t},
title = {Transport equations in biology},
series = {Frontiers in Mathematics},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {2007},
pages = {x+198},
isbn = {978-3-7643-7841-7; 3-7643-7841-7},
mrclass = {35-02 (35Q80 92C17 92C50 92D25)},
mrnumber = {2270822},
mrreviewer = {Reinhard Illner}
}
@Article{ peszat.russo:05:large-noise,
author = {Peszat, Szymon and Russo, Francesco},
title = {Large-noise asymptotics for one-dimensional diffusions},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {11},
year = {2005},
number = {2},
pages = {247--262},
issn = {1350-7265,1573-9759},
mrclass = {60J60 (60F05)},
mrnumber = {2132725},
mrreviewer = {Song\ Liang},
doi = {10.3150/bj/1116340293},
url = {https://doi.org/10.3150/bj/1116340293}
}
@Article{ peszat.seidler:98:maximal,
author = {Peszat, Szymon and Seidler, Jan},
title = {Maximal inequalities and space-time regularity of
stochastic convolutions},
journal = {Math. Bohem.},
fjournal = {Academy of Sciences of the Czech Republic. Mathematical
Institute. Mathematica Bohemica},
volume = {123},
year = {1998},
number = {1},
pages = {7--32},
issn = {0862-7959,2464-7136},
mrclass = {60H15},
mrnumber = {1618707},
mrreviewer = {Ralf\ Manthey}
}
@InCollection{ peszat.stettner:15:research,
author = {Peszat, Szymon and Stettner, \L ukasz},
title = {Research problems of {J}erzy {Z}abczyk},
booktitle = {Stochastic analysis},
series = {Banach Center Publ.},
volume = {105},
pages = {9--32},
publisher = {Polish Acad. Sci. Inst. Math., Warsaw},
year = {2015},
isbn = {978-83-86806-28-7},
mrclass = {93E20 (01A20 60-02 60H30)},
mrnumber = {3445526},
doi = {10.4064/bc105-0-1},
url = {https://doi.org/10.4064/bc105-0-1}
}
@Article{ peszat.talarczyk:10:functional,
author = {Peszat, Szymon and Talarczyk, Anna},
title = {Functional central limit theorem for additive functionals
of {$\alpha$}-stable processes},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {33},
year = {2010},
number = {2},
pages = {199--209},
issn = {0926-2601,1572-929X},
mrclass = {60G52 (60F17)},
mrnumber = {2658982},
mrreviewer = {Sreenivasan\ Ravi},
doi = {10.1007/s11118-009-9166-0},
url = {https://doi.org/10.1007/s11118-009-9166-0}
}
@Article{ peszat.tindel:10:stochastic,
author = {Peszat, Szymon and Tindel, Samy},
title = {Stochastic heat and wave equations on a {L}ie group},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {28},
year = {2010},
number = {4},
pages = {662--695},
issn = {0736-2994},
mrclass = {60H15 (35R03 35R60 46E30 60B15 60G60)},
mrnumber = {2739599},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1080/07362994.2010.482840},
url = {https://doi.org/10.1080/07362994.2010.482840}
}
@Article{ peszat.twardowska.ea:21:ergodicity,
author = {Peszat, Szymon and Twardowska, Krystyna and Zabczyk,
Jerzy},
title = {Ergodicity of {B}urgers' system},
journal = {J. Stoch. Anal.},
fjournal = {Journal of Stochastic Analysis. JOSA},
volume = {2},
year = {2021},
number = {3},
pages = {Art. 10, 16},
issn = {2689-6931},
mrclass = {60H15 (35Q35 60J35)},
mrnumber = {4304481},
mrreviewer = {Liping\ Li}
}
@Article{ peszat.twardowska.ea:21:ergodicity*1,
author = {Peszat, Szymon and Twardowska, Krystyna and Zabczyk,
Jerzy},
title = {Ergodicity of {B}urgers' system},
journal = {J. Stoch. Anal.},
fjournal = {Journal of Stochastic Analysis. JOSA},
volume = {2},
year = {2021},
number = {3},
pages = {Art. 10, 16},
mrclass = {60H15 (35Q35 60J35)},
mrnumber = {4304481}
}
@Article{ peszat.zabczyk:00:nonlinear,
author = {Peszat, Szymon and Zabczyk, Jerzy},
title = {Nonlinear stochastic wave and heat equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {116},
year = {2000},
number = {3},
pages = {421--443},
issn = {0178-8051},
mrclass = {60H15 (35R60 60G60)},
mrnumber = {1749283},
mrreviewer = {Marta Sanz Sol\'{e}},
doi = {10.1007/s004400050257},
url = {https://doi.org/10.1007/s004400050257}
}
@InCollection{ peszat.zabczyk:06:stochastic,
author = {Peszat, Szymon and Zabczyk, Jerzy},
title = {Stochastic heat and wave equations driven by an impulsive
noise},
booktitle = {Stochastic partial differential equations and
applications---{VII}},
series = {Lect. Notes Pure Appl. Math.},
volume = {245},
pages = {229--242},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
mrclass = {60H15},
mrnumber = {2227232},
mrreviewer = {Nicholas Frangos},
doi = {10.1201/9781420028720.ch19},
url = {https://doi.org/10.1201/9781420028720.ch19}
}
@Book{ peszat.zabczyk:07:stochastic,
author = {Peszat, S. and Zabczyk, J.},
title = {Stochastic partial differential equations with {L}\'{e}vy
noise},
series = {Encyclopedia of Mathematics and its Applications},
volume = {113},
note = {An evolution equation approach},
publisher = {Cambridge University Press, Cambridge},
year = {2007},
pages = {xii+419},
isbn = {978-0-521-87989-7},
mrclass = {60H15 (35R60 60-02 60G51)},
mrnumber = {2356959},
mrreviewer = {Sandra Cerrai},
doi = {10.1017/CBO9780511721373},
url = {https://doi.org/10.1017/CBO9780511721373}
}
@Article{ peszat.zabczyk:13:time,
author = {Peszat, S. and Zabczyk, J.},
title = {Time regularity of solutions to linear equations with
{L}\'{e}vy noise in infinite dimensions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {123},
year = {2013},
number = {3},
pages = {719--751},
issn = {0304-4149},
mrclass = {60H15 (60G51 60G52)},
mrnumber = {3005003},
mrreviewer = {Raluca M. Balan},
doi = {10.1016/j.spa.2012.10.012},
url = {https://doi.org/10.1016/j.spa.2012.10.012}
}
@Article{ peszat.zabczyk:14:time,
author = {Peszat, S. and Zabczyk, J.},
title = {Time regularity for stochastic {V}olterra equations by the
dilation theorem},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {409},
year = {2014},
number = {2},
pages = {676--683},
issn = {0022-247X},
mrclass = {60H20 (45D05 45R05 60H15)},
mrnumber = {3103187},
mrreviewer = {Anna Karczewska},
doi = {10.1016/j.jmaa.2013.07.055},
url = {https://doi.org/10.1016/j.jmaa.2013.07.055}
}
@Article{ peszat.zabczyk:95:strong,
author = {Peszat, Szymon and Zabczyk, Jerzy},
title = {Strong {F}eller property and irreducibility for diffusions
on {H}ilbert spaces},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {1},
pages = {157--172},
issn = {0091-1798},
mrclass = {60H15 (60J25)},
mrnumber = {1330765},
mrreviewer = {Bohdan Maslowski},
url = {http://links.jstor.org/sici?sici=0091-1798(199501)23:1<157:SFPAIF>2.0.CO;2-Q&origin=MSN}
}
@Article{ peszat.zabczyk:97:stochastic,
author = {Peszat, Szymon and Zabczyk, Jerzy},
title = {Stochastic evolution equations with a spatially
homogeneous {W}iener process},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {72},
year = {1997},
number = {2},
pages = {187--204},
issn = {0304-4149},
mrclass = {60H15 (35K55 35R60 60G60)},
mrnumber = {1486552},
mrreviewer = {Zdzis{\l}aw Brze\'{z}niak},
doi = {10.1016/S0304-4149(97)00089-6},
url = {https://doi.org/10.1016/S0304-4149(97)00089-6}
}
@Article{ peszat.zawisza:21:investor,
author = {Peszat, Szymon and Zawisza, Dariusz},
title = {The investor problem based on the {HJM} model},
journal = {Ann. Polon. Math.},
fjournal = {Annales Polonici Mathematici},
volume = {127},
year = {2021},
number = {3},
pages = {241--269},
issn = {0066-2216,1730-6272},
mrclass = {91G10 (60H30 91G30 93E20)},
mrnumber = {4358442},
mrreviewer = {Hyeng\ Keun\ Koo},
doi = {10.4064/ap210429-12-11},
url = {https://doi.org/10.4064/ap210429-12-11}
}
@Article{ peszat:02:cauchy,
author = {Peszat, Szymon},
title = {The {C}auchy problem for a nonlinear stochastic wave
equation in any dimension},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {2},
year = {2002},
number = {3},
pages = {383--394},
issn = {1424-3199},
mrclass = {60H15 (35L70 35R60)},
mrnumber = {1930613},
mrreviewer = {B. G. Pachpatte},
doi = {10.1007/PL00013197},
url = {https://doi.org/10.1007/PL00013197}
}
@InCollection{ peszat:02:spdes,
author = {Peszat, Szymon},
title = {S{PDE}s driven by a homogeneous {W}iener process},
booktitle = {Stochastic partial differential equations and applications
({T}rento, 2002)},
series = {Lecture Notes in Pure and Appl. Math.},
volume = {227},
pages = {417--427},
publisher = {Dekker, New York},
year = {2002},
isbn = {0-8247-0792-3},
mrclass = {60H15 (60J65)},
mrnumber = {1919521}
}
@Article{ peszat:11:levy-ornstein-uhlenbeck,
author = {Peszat, S.},
title = {L\'{e}vy-{O}rnstein-{U}hlenbeck transition semigroup as
second quantized operator},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {260},
year = {2011},
number = {12},
pages = {3457--3473},
issn = {0022-1236,1096-0783},
mrclass = {60J35 (47D03 47N30 60G51 60G52 60G57 60H30)},
mrnumber = {2781967},
mrreviewer = {Romain\ Abraham},
doi = {10.1016/j.jfa.2011.03.002},
url = {https://doi.org/10.1016/j.jfa.2011.03.002}
}
@InCollection{ peszat:15:stochastic,
author = {Peszat, Szymon},
title = {Stochastic partial differential equations with {L}\'{e}vy
noise (a few aspects)},
booktitle = {Stochastic analysis: a series of lectures},
series = {Progr. Probab.},
volume = {68},
pages = {333--357},
publisher = {Birkh\"{a}user/Springer, Basel},
year = {2015},
isbn = {978-3-0348-0909-2; 978-3-0348-0908-5},
mrclass = {60H15 (35R60 60G51)},
mrnumber = {3558131},
doi = {10.1007/978-3-0348-0909-2\_12},
url = {https://doi.org/10.1007/978-3-0348-0909-2_12}
}
@Article{ peszat:92:equivalence,
author = {Peszat, S.},
title = {Equivalence of distributions of some
{O}rnstein-{U}hlenbeck processes taking values in {H}ilbert
space},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {13},
year = {1992},
number = {1},
pages = {7--17},
issn = {0208-4147,2300-8113},
mrclass = {60G30 (60H10)},
mrnumber = {1199784},
mrreviewer = {Yu.\ M.\ Kabanov}
}
@Article{ peszat:92:exponential,
author = {Peszat, Szymon},
title = {Exponential tail estimates for infinite-dimensional
stochastic convolutions},
journal = {Bull. Polish Acad. Sci. Math.},
fjournal = {Polish Academy of Sciences. Bulletin. Mathematics},
volume = {40},
year = {1992},
number = {4},
pages = {323--333},
issn = {0239-7269},
mrclass = {60H15 (60B11 60F10 60H10)},
mrnumber = {1402320}
}
@Article{ peszat:92:law,
author = {Peszat, Szymon},
title = {Law equivalence of solutions of some linear stochastic
equations in {H}ilbert spaces},
journal = {Studia Math.},
fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia
Mathematica},
volume = {101},
year = {1992},
number = {3},
pages = {269--284},
issn = {0039-3223,1730-6337},
mrclass = {60H15 (34F05 34G10 47N20 47N30 60G15)},
mrnumber = {1153784},
doi = {10.4064/sm-101-3-269-284},
url = {https://doi.org/10.4064/sm-101-3-269-284}
}
@Article{ peszat:93:on,
author = {Peszat, Szymon},
title = {On a {S}obolev space of functions of infinite number of
variables},
journal = {Bull. Polish Acad. Sci. Math.},
fjournal = {Polish Academy of Sciences. Bulletin. Mathematics},
volume = {41},
year = {1993},
number = {1},
pages = {55--60},
issn = {0239-7269},
mrclass = {46E50 (28C20 46E35 46G12)},
mrnumber = {1401886}
}
@Article{ peszat:94:large,
author = {Peszat, Szymon},
title = {Large deviation principle for stochastic evolution
equations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {98},
year = {1994},
number = {1},
pages = {113--136},
issn = {0178-8051},
mrclass = {60H10 (34F05 60F10 93E03)},
mrnumber = {1254827},
mrreviewer = {R. Sh. Liptser},
doi = {10.1007/BF01311351},
url = {https://doi.org/10.1007/BF01311351}
}
@Article{ peszat:95:existence,
author = {Peszat, Szymon},
title = {Existence and uniqueness of the solution for stochastic
equations on {B}anach spaces},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {55},
year = {1995},
number = {3-4},
pages = {167--193},
issn = {1045-1129},
mrclass = {60H15 (34F05 34G20 35R60)},
mrnumber = {1378855},
mrreviewer = {Jan\ I.\ Seidler}
}
@InCollection{ peszat:96:sobolev,
author = {Peszat, Szymon},
title = {Sobolev spaces of functions on an infinite-dimensional
domain},
booktitle = {Stochastic processes and related topics ({S}iegmundsberg,
1994)},
series = {Stochastics Monogr.},
volume = {10},
pages = {103--116},
publisher = {Gordon and Breach, Yverdon},
year = {1996},
isbn = {2-88449-069-8},
mrclass = {46E50 (28C20 46E35 46G12)},
mrnumber = {1393500},
mrreviewer = {David\ Nualart}
}
@Article{ petermann:00:superdiffusivity,
title = {Superdiffusivity of directed polymers in random
environment},
author = {Petermann, Markus},
journal = {Ph. D. Thesis Univ. Zurich},
year = {2000}
}
@Book{ petersen:83:ergodic,
author = {Petersen, Karl},
title = {Ergodic theory},
series = {Cambridge Studies in Advanced Mathematics},
volume = {2},
publisher = {Cambridge University Press, Cambridge},
year = {1983},
pages = {xii+329},
isbn = {0-521-23632-0},
mrclass = {28-02 (28D05 54H20 58F11)},
mrnumber = {833286},
mrreviewer = {Nathaniel F. G. Martin},
doi = {10.1017/CBO9780511608728},
url = {https://doi.org/10.1017/CBO9780511608728}
}
@Book{ petersen:89:ergodic,
author = {Petersen, Karl},
title = {Ergodic theory},
series = {Cambridge Studies in Advanced Mathematics},
volume = {2},
note = {Corrected reprint of the 1983 original},
publisher = {Cambridge University Press, Cambridge},
year = {1989},
pages = {xii+329},
isbn = {0-521-38997-6},
mrclass = {28Dxx (28-02 47A35 54H20 58F11)},
mrnumber = {1073173},
mrreviewer = {Nathaniel Friedman}
}
@Article{ peterson.seppalainen:10:current,
author = {Peterson, Jonathon and Sepp\"{a}l\"{a}inen, Timo},
title = {Current fluctuations of a system of one-dimensional random
walks in random environment},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {6},
pages = {2258--2294},
issn = {0091-1798},
mrclass = {60K37 (60K35)},
mrnumber = {2683630},
mrreviewer = {Marcel Ortgiese},
doi = {10.1214/10-AOP537},
url = {https://doi.org/10.1214/10-AOP537}
}
@Article{ peterson.zeitouni:09:on,
author = {Peterson, Jonathon and Zeitouni, Ofer},
title = {On the annealed large deviation rate function for a
multi-dimensional random walk in random environment},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {6},
year = {2009},
pages = {349--368},
issn = {1980-0436},
mrclass = {60F10 (60G50 60K37)},
mrnumber = {2557875},
mrreviewer = {Dimitris\ Cheliotis}
}
@Article{ peterson.zeitouni:09:quenched,
author = {Peterson, Jonathon and Zeitouni, Ofer},
title = {Quenched limits for transient, zero speed one-dimensional
random walk in random environment},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {1},
pages = {143--188},
issn = {0091-1798,2168-894X},
mrclass = {60K37 (60F05 82C41 92D30)},
mrnumber = {2489162},
mrreviewer = {Firas\ Rassoul-Agha},
doi = {10.1214/08-AOP399},
url = {https://doi.org/10.1214/08-AOP399}
}
@Book{ petrov:75:sums,
author = {Petrov, V. V.},
title = {Sums of independent random variables},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete [Results
in Mathematics and Related Areas], Band 82},
note = {Translated from the Russian by A. A. Brown},
publisher = {Springer-Verlag, New York-Heidelberg},
year = {1975},
pages = {x+346},
mrclass = {60FXX (60GXX)},
mrnumber = {388499}
}
@Book{ petrov:95:limit,
author = {Petrov, Valentin V.},
title = {Limit theorems of probability theory},
series = {Oxford Studies in Probability},
volume = {4},
note = {Sequences of independent random variables, Oxford Science
Publications},
publisher = {The Clarendon Press, Oxford University Press, New York},
year = {1995},
pages = {xii+292},
isbn = {0-19-853499-X},
mrclass = {60F15 (60F05)},
mrnumber = {1353441},
mrreviewer = {Lajos Horv\'{a}th}
}
@Book{ petrowsky:96:selected,
author = {Petrowsky, I. G.},
title = {Selected works. {P}art {I}},
series = {Classics of Soviet Mathematics},
volume = {5},
note = {Systems of partial differential equations and algebraic
geometry, Introductory material by A. N. Kolmogorov and O.
A. Oleinik, Translated from the Russian by G. A. Yosifian
[G. A. Iosif{\cprime}yan], With a foreword by Lars G\aa
rding, Edited and with a preface by Oleinik},
publisher = {Gordon and Breach Publishers, Amsterdam},
year = {1996},
pages = {x+557},
isbn = {2-88124-978-7},
mrclass = {01A75},
mrnumber = {1677652}
}
@Article{ petters.rider.ea:09:mathematical,
author = {Petters, A. O. and Rider, B. and Teguia, A. M.},
title = {A mathematical theory of stochastic microlensing. {I}.
{R}andom time delay functions and lensing maps},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {50},
year = {2009},
number = {7},
pages = {072503, 22},
issn = {0022-2488},
mrclass = {85A40},
mrnumber = {2548625},
doi = {10.1063/1.3158854},
url = {https://doi.org/10.1063/1.3158854}
}
@Article{ petters.rider.ea:09:mathematical*1,
author = {Petters, A. O. and Rider, B. and Teguia, A. M.},
title = {A mathematical theory of stochastic microlensing. {II}.
{R}andom images, shear, and the {K}ac-{R}ice formula},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {50},
year = {2009},
number = {12},
pages = {122501, 17},
issn = {0022-2488},
mrclass = {85A40 (60G60 62M40)},
mrnumber = {2582583},
mrreviewer = {D. R. J. Chillingworth},
doi = {10.1063/1.3267859},
url = {https://doi.org/10.1063/1.3267859}
}
@Article{ pfaffelhuber.popovic:15:scaling,
author = {Pfaffelhuber, Peter and Popovic, Lea},
title = {Scaling limits of spatial compartment models for chemical
reaction networks},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {25},
year = {2015},
number = {6},
pages = {3162--3208},
issn = {1050-5164},
mrclass = {60J27 (60F17 60J25 80A30 92C45)},
mrnumber = {3404634},
mrreviewer = {Ross S. McVinish},
doi = {10.1214/14-AAP1070},
url = {https://doi.org/10.1214/14-AAP1070}
}
@Article{ pham.chong:18:volterra-type,
author = {Pham, Viet Son and Chong, Carsten},
title = {Volterra-type {O}rnstein-{U}hlenbeck processes in space
and time},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {128},
year = {2018},
number = {9},
pages = {3082--3117},
issn = {0304-4149,1879-209X},
mrclass = {60G10 (60G17 60G48 60G51 60G60 60H20 60J75)},
mrnumber = {3834854},
doi = {10.1016/j.spa.2017.10.012},
url = {https://doi.org/10.1016/j.spa.2017.10.012}
}
@Article{ phillips:87:existence,
author = {Phillips, Daniel},
title = {Existence of solutions of quenching problems},
journal = {Appl. Anal.},
fjournal = {Applicable Analysis. An International Journal},
volume = {24},
year = {1987},
number = {4},
pages = {253--264},
issn = {0003-6811},
mrclass = {35K57},
mrnumber = {907341},
mrreviewer = {Long-Yi Tsai},
doi = {10.1080/00036818708839668},
url = {https://doi.org/10.1080/00036818708839668}
}
@InProceedings{ piatko.priebe.ea:01:path,
title = {Path planning for mine countermeasures command and
control},
author = {Piatko, Christine and Priebe, Carey E and Cowen, Lenore J
and Wang, I-Jeng and McNamee, Paul},
booktitle = {Detection and Remediation Technologies for Mines and
Minelike Targets VI},
volume = {4394},
pages = {836--843},
year = {2001},
organization = {International Society for Optics and Photonics}
}
@Book{ picard:04:lectures,
author = {Picard, Jean},
title = {Lectures on probability theory and statistics},
series = {Lecture Notes in Mathematics},
volume = {1837},
note = {Lectures from the 31st Summer School on Probability Theory
held in Saint-Flour, July 8--25, 2001},
publisher = {Springer-Verlag, Berlin},
year = {2004},
pages = {vi+314},
isbn = {3-540-20832-1},
mrclass = {60-06 (62-06)},
mrnumber = {2071629}
}
@Article{ pierre.schmitt:00:blowup,
author = {Pierre, Michel and Schmitt, Didier},
title = {Blowup in reaction-diffusion systems with dissipation of
mass},
journal = {SIAM Rev.},
fjournal = {SIAM Review},
volume = {42},
year = {2000},
number = {1},
pages = {93--106},
issn = {0036-1445},
mrclass = {35K57 (35B05)},
mrnumber = {1738101},
mrreviewer = {Si Ning Zheng},
doi = {10.1137/S0036144599359735},
url = {https://doi.org/10.1137/S0036144599359735}
}
@Article{ pierre.schmitt:97:blowup,
author = {Pierre, Michel and Schmitt, Didier},
title = {Blowup in reaction-diffusion systems with dissipation of
mass},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {28},
year = {1997},
number = {2},
pages = {259--269},
issn = {0036-1410},
mrclass = {35K57 (35B05)},
mrnumber = {1434034},
mrreviewer = {Siegfried Carl},
doi = {10.1137/S0036141095295437},
url = {https://doi.org/10.1137/S0036141095295437}
}
@Article{ pierre.texier-picard:09:global,
author = {Pierre, M. and Texier-Picard, R.},
title = {Global existence for degenerate quadratic
reaction-diffusion systems},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {26},
year = {2009},
number = {5},
pages = {1553--1568},
issn = {0294-1449},
mrclass = {35K86 (86A10)},
mrnumber = {2566699},
mrreviewer = {Antonio Su\'{a}rez Fern\'{a}ndez},
doi = {10.1016/j.anihpc.2008.06.003},
url = {https://doi.org/10.1016/j.anihpc.2008.06.003}
}
@InCollection{ pierre:03:weak,
author = {Pierre, Michel},
title = {Weak solutions and supersolutions in {$L^1$} for
reaction-diffusion systems},
note = {Dedicated to Philippe B\'{e}nilan},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {3},
year = {2003},
number = {1},
pages = {153--168},
issn = {1424-3199},
mrclass = {35K57 (35D05 35K50)},
mrnumber = {1977432},
mrreviewer = {Stanis\l aw Burys},
doi = {10.1007/s000280300007},
url = {https://doi.org/10.1007/s000280300007}
}
@Book{ pietsch:78:operator,
author = {Pietsch, Albrecht},
title = {Operator ideals},
series = {Mathematische Monographien [Mathematical Monographs]},
volume = {16},
publisher = {VEB Deutscher Verlag der Wissenschaften, Berlin},
year = {1978},
pages = {451},
mrclass = {47-02 (46-02 47D30)},
mrnumber = {519680},
mrreviewer = {D. J. H. Garling}
}
@Article{ pilipenko.proske:18:on,
author = {Pilipenko, Andrey and Proske, Frank Norbert},
title = {On a selection problem for small noise perturbation in the
multidimensional case},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {18},
year = {2018},
number = {6},
pages = {1850045, 23},
issn = {0219-4937},
mrclass = {60H10 (49N60)},
mrnumber = {3869883},
doi = {10.1142/S0219493718500454},
url = {https://doi.org/10.1142/S0219493718500454}
}
@Article{ pilipenko.proske:18:on*1,
author = {Pilipenko, Andrey and Proske, Frank Norbert},
title = {On perturbations of an {ODE} with non-{L}ipschitz
coefficients by a small self-similar noise},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {132},
year = {2018},
pages = {62--73},
issn = {0167-7152},
mrclass = {60H10 (60F05 60F99 60G18)},
mrnumber = {3718090},
doi = {10.1016/j.spl.2017.09.005},
url = {https://doi.org/10.1016/j.spl.2017.09.005}
}
@Article{ pimentel:06:time,
author = {Pimentel, Leandro P. R.},
title = {The time constant and critical probabilities in
percolation models},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {11},
year = {2006},
pages = {160--167},
issn = {1083-589X},
mrclass = {60K35 (05C80 60G55)},
mrnumber = {2240709},
mrreviewer = {Tony\ Leli\`evre},
doi = {10.1214/ECP.v11-1210},
url = {https://doi.org/10.1214/ECP.v11-1210}
}
@Article{ pimentel:07:multitype,
author = {Pimentel, Leandro P. R.},
title = {Multitype shape theorems for first passage percolation
models},
journal = {Adv. in Appl. Probab.},
fjournal = {Advances in Applied Probability},
volume = {39},
year = {2007},
number = {1},
pages = {53--76},
issn = {0001-8678,1475-6064},
mrclass = {60K35 (60D05)},
mrnumber = {2307871},
mrreviewer = {Masato\ Takei},
doi = {10.1239/aap/1175266469},
url = {https://doi.org/10.1239/aap/1175266469}
}
@Article{ pimentel:11:asymptotics,
author = {Pimentel, Leandro P. R.},
title = {Asymptotics for first-passage times on {D}elaunay
triangulations},
journal = {Combin. Probab. Comput.},
fjournal = {Combinatorics, Probability and Computing},
volume = {20},
year = {2011},
number = {3},
pages = {435--453},
issn = {0963-5483,1469-2163},
mrclass = {60K35 (60G55)},
mrnumber = {2784636},
mrreviewer = {Dimitri\ Petritis},
doi = {10.1017/S0963548310000477},
url = {https://doi.org/10.1017/S0963548310000477}
}
@Article{ pimentel:13:on,
author = {Pimentel, Leandro P. R.},
title = {On some fundamental aspects of polyominoes on random
{V}oronoi tilings},
journal = {Braz. J. Probab. Stat.},
fjournal = {Brazilian Journal of Probability and Statistics},
volume = {27},
year = {2013},
number = {1},
pages = {54--69},
issn = {0103-0752,2317-6199},
mrclass = {60D05 (52C22 60K35)},
mrnumber = {2991778},
doi = {10.1214/11-BJPS150},
url = {https://doi.org/10.1214/11-BJPS150}
}
@Article{ pimentel:14:on,
author = {Pimentel, Leandro P. R.},
title = {On the location of the maximum of a continuous stochastic
process},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {51},
year = {2014},
number = {1},
pages = {152--161},
issn = {0021-9002,1475-6072},
mrclass = {60G17 (60G10 60J65)},
mrnumber = {3189448},
mrreviewer = {Martynas\ Manstavi\v cius},
doi = {10.1239/jap/1395771420},
url = {https://doi.org/10.1239/jap/1395771420}
}
@Article{ pimentel:16:duality,
author = {Pimentel, Leandro P. R.},
title = {Duality between coalescence times and exit points in
last-passage percolation models},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {5},
pages = {3187--3206},
issn = {0091-1798,2168-894X},
mrclass = {60C05 (60F05 60K35)},
mrnumber = {3551194},
mrreviewer = {Anatoly\ Yambartsev},
doi = {10.1214/15-AOP1044},
url = {https://doi.org/10.1214/15-AOP1044}
}
@Article{ pimentel:18:local,
author = {Pimentel, Leandro P. R.},
title = {Local behaviour of airy processes},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {173},
year = {2018},
number = {6},
pages = {1614--1638},
issn = {0022-4715,1572-9613},
mrclass = {82C24 (60J65 82C05)},
mrnumber = {3880997},
mrreviewer = {Uwe\ C.\ T\"auber},
doi = {10.1007/s10955-018-2147-1},
url = {https://doi.org/10.1007/s10955-018-2147-1}
}
@InCollection{ pimentel:21:brownian,
author = {Pimentel, Leandro P. R.},
title = {Brownian aspects of the {KPZ} fixed point},
booktitle = {In and out of equilibrium 3. {C}elebrating {V}ladas
{S}idoravicius},
series = {Progr. Probab.},
volume = {77},
pages = {711--739},
publisher = {Birkh\"auser/Springer, Cham},
year = {[2021] \copyright 2021},
isbn = {978-3-030-60754-8; 978-3-030-60753-1},
mrclass = {60K35 (60H15)},
mrnumber = {4237289},
doi = {10.1007/978-3-030-60754-8\_29},
url = {https://doi.org/10.1007/978-3-030-60754-8_29}
}
@Article{ pimentel:21:ergodicity,
author = {Pimentel, Leandro P. R.},
title = {Ergodicity of the {KPZ} fixed point},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {18},
year = {2021},
number = {1},
pages = {963--983},
issn = {1980-0436},
mrclass = {60K35 (82C22)},
mrnumber = {4243522},
doi = {10.30757/ALEA.v18-35},
url = {https://doi.org/10.30757/ALEA.v18-35}
}
@Article{ pimentel:22:integration,
author = {Pimentel, Leandro P. R.},
title = {Integration by parts and the {KPZ} two-point function},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {50},
year = {2022},
number = {5},
pages = {1755--1780},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (60F99 60H07 82C22 82D60)},
mrnumber = {4474501},
doi = {10.1214/22-aop1564},
url = {https://doi.org/10.1214/22-aop1564}
}
@Article{ pinelis:94:optimum,
author = {Pinelis, Iosif},
title = {Optimum bounds for the distributions of martingales in
{B}anach spaces},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {4},
pages = {1679--1706},
issn = {0091-1798},
mrclass = {60B11 (60G42)},
mrnumber = {1331198},
mrreviewer = {J\'{o}zef Zygo},
url = {http://links.jstor.org/sici?sici=0091-1798(199410)22:4<1679:OBFTDO>2.0.CO;2-2&origin=MSN}
}
@Article{ pinsky.stanton.ea:93:fourier,
author = {Pinsky, Mark A. and Stanton, Nancy K. and Trapa, Peter
E.},
title = {Fourier series of radial functions in several variables},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {116},
year = {1993},
number = {1},
pages = {111--132},
issn = {0022-1236},
mrclass = {42B05},
mrnumber = {1237988},
mrreviewer = {Hans-J\"{u}rgen Schmeisser},
doi = {10.1006/jfan.1993.1106},
url = {https://doi.org/10.1006/jfan.1993.1106}
}
@Article{ pipiras.taqqu:00:integration,
author = {Pipiras, Vladas and Taqqu, Murad S.},
title = {Integration questions related to fractional {B}rownian
motion},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {118},
year = {2000},
number = {2},
pages = {251--291},
issn = {0178-8051},
mrclass = {60H05 (60G18)},
mrnumber = {1790083},
mrreviewer = {David Nualart},
doi = {10.1007/s440-000-8016-7},
url = {https://doi.org/10.1007/s440-000-8016-7}
}
@Article{ pipiras.taqqu:01:are,
author = {Pipiras, Vladas and Taqqu, Murad S.},
title = {Are classes of deterministic integrands for fractional
{B}rownian motion on an interval complete?},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {7},
year = {2001},
number = {6},
pages = {873--897},
issn = {1350-7265},
mrclass = {60J65},
mrnumber = {1873833},
mrreviewer = {Olivier Raimond},
doi = {10.2307/3318624},
url = {https://doi.org/10.2307/3318624}
}
@InCollection{ pisier:86:probabilistic,
author = {Pisier, Gilles},
title = {Probabilistic methods in the geometry of {B}anach spaces},
booktitle = {Probability and analysis ({V}arenna, 1985)},
series = {Lecture Notes in Math.},
volume = {1206},
pages = {167--241},
publisher = {Springer, Berlin},
year = {1986},
mrclass = {46B20 (60B05 60E15)},
mrnumber = {864714},
mrreviewer = {Jerzy Szulga},
doi = {10.1007/BFb0076302},
url = {https://doi.org/10.1007/BFb0076302}
}
@Article{ pisztora.povel.ea:99:precise,
author = {Pisztora, Agoston and Povel, Tobias and Zeitouni, Ofer},
title = {Precise large deviation estimates for a one-dimensional
random walk in a random environment},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {113},
year = {1999},
number = {2},
pages = {191--219},
issn = {0178-8051,1432-2064},
mrclass = {60F10 (60J15 60K35 82C41)},
mrnumber = {1676839},
mrreviewer = {Timo\ Sepp\"{a}l\"{a}inen},
doi = {10.1007/s004400050206},
url = {https://doi.org/10.1007/s004400050206}
}
@InProceedings{ pita.jain.ea:08:deployed,
title = {Deployed armor protection: {The} application of a game
theoretic model for security at the {Los Angeles}
international airport},
author = {Pita, James and Jain, Manish and Marecki, Janusz and
Ord{\'o}{\~n}ez, Fernando and Portway, Christopher and
Tambe, Milind and Western, Craig and Paruchuri, Praveen and
Kraus, Sarit},
booktitle = {Proceedings of the 7th international joint conference on
Autonomous agents and multiagent systems: Industrial
track},
pages = {125--132},
year = {2008}
}
@Article{ piterbarg:86:structure,
author = {Piterbarg, L. I.},
title = {The structure of the infinitesimal {$\sigma$}-algebra of
{G}aussian processes and fields},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Akademiya Nauk SSSR. Teoriya Veroyatnosteu{i} i ee
Primeneniya},
volume = {31},
year = {1986},
number = {3},
pages = {550--559},
issn = {0040-361X},
mrclass = {60G15},
mrnumber = {866874},
mrreviewer = {S. V. Khrushch\"{e}v}
}
@Book{ pitici:16:best,
title = {The best writing on mathematics 2015},
author = {Pitici, Mircea},
publisher = {Princeton University Press, Princeton, NJ},
year = {2016},
pages = {xxvi+363 pp.+16 unnumbered pages with illustrations},
isbn = {978-0-691-16965-1},
mrclass = {00B60 (00A08 01A05)},
mrnumber = {3445392},
mrreviewer = {Aleksandar M. Nikoli\'{c}}
}
@Article{ pitman.yor:82:decomposition,
author = {Pitman, Jim and Yor, Marc},
title = {A decomposition of {B}essel bridges},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {59},
year = {1982},
number = {4},
pages = {425--457},
issn = {0044-3719},
mrclass = {60J60 (60J55)},
mrnumber = {656509},
mrreviewer = {Joan E. Walsh},
doi = {10.1007/BF00532802},
url = {https://doi.org/10.1007/BF00532802}
}
@Article{ pitt.robeva.ea:95:error,
author = {Pitt, Loren D. and Robeva, Raina and Wang, Dao Yi},
title = {An error analysis for the numerical calculation of certain
random integrals. {I}},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {5},
year = {1995},
number = {1},
pages = {171--197},
issn = {1050-5164},
mrclass = {62M40 (60G60)},
mrnumber = {1325048},
mrreviewer = {V. V. Anh},
url = {http://links.jstor.org/sici?sici=1050-5164(199502)5:1<171:AEAFTN>2.0.CO;2-3&origin=MSN}
}
@InCollection{ pitt.robeva:94:on,
author = {Pitt, L. D. and Robeva, R. S.},
title = {On the sharp {M}arkov property for the {W}hittle field in
{$2$}-dimensions},
booktitle = {Stochastic analysis on infinite-dimensional spaces
({B}aton {R}ouge, {LA}, 1994)},
series = {Pitman Res. Notes Math. Ser.},
volume = {310},
pages = {242--254},
publisher = {Longman Sci. Tech., Harlow},
year = {1994},
mrclass = {60G60 (60G15 60H15)},
mrnumber = {1415673},
mrreviewer = {Robert C. Dalang}
}
@Article{ pitt.tran:79:local,
author = {Pitt, Loren D. and Lanh Tat Tran},
title = {Local sample path properties of {G}aussian fields},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {7},
year = {1979},
number = {3},
pages = {477--493},
issn = {0091-1798},
mrclass = {60G15 (60G60)},
mrnumber = {528325},
mrreviewer = {Robert J. Adler},
url = {http://links.jstor.org/sici?sici=0091-1798(197906)7:3<477:LSPPOG>2.0.CO;2-P&origin=MSN}
}
@Article{ pitt:71:markov,
author = {Pitt, Loren D.},
title = {A {M}arkov property for {G}aussian processes with a
multidimensional parameter},
journal = {Arch. Rational Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {43},
year = {1971},
pages = {367--391},
issn = {0003-9527},
mrclass = {60G15},
mrnumber = {336798},
mrreviewer = {S. Kotani},
doi = {10.1007/BF00252003},
url = {https://doi.org/10.1007/BF00252003}
}
@Article{ pitt:73:some,
author = {Pitt, Loren D.},
title = {Some problems in the spectral theory of stationary
processes on {$R^{d}$}},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {23},
year = {1973},
pages = {343--365},
issn = {0022-2518},
mrclass = {60G10},
mrnumber = {319254},
mrreviewer = {H. P. McKean, Jr.},
doi = {10.1512/iumj.1973.23.23028},
url = {https://doi.org/10.1512/iumj.1973.23.23028}
}
@Article{ pitt:75:stationary,
author = {Pitt, Loren D.},
title = {Stationary {G}aussian {M}arkov fields on {$R^{d}$} with a
deterministic component},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {5},
year = {1975},
number = {3},
pages = {300--311},
issn = {0047-259X},
mrclass = {60G15},
mrnumber = {410883},
mrreviewer = {V. S. Mandrekar},
doi = {10.1016/0047-259X(75)90048-2},
url = {https://doi.org/10.1016/0047-259X(75)90048-2}
}
@Article{ pitt:78:local,
author = {Pitt, Loren D.},
title = {Local times for {G}aussian vector fields},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {27},
year = {1978},
number = {2},
pages = {309--330},
issn = {0022-2518},
mrclass = {60G15 (60G17)},
mrnumber = {471055},
mrreviewer = {Simeon M. Berman},
doi = {10.1512/iumj.1978.27.27024},
url = {https://doi.org/10.1512/iumj.1978.27.27024}
}
@Article{ pitt:82:positively,
author = {Pitt, Loren D.},
title = {Positively correlated normal variables are associated},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {10},
year = {1982},
number = {2},
pages = {496--499},
issn = {0091-1798},
mrclass = {62H20},
mrnumber = {665603},
url = {http://links.jstor.org/sici?sici=0091-1798(198205)10:2<496:PCNVAA>2.0.CO;2-Q&origin=MSN}
}
@Article{ piza:97:directed,
author = {Piza, M. S. T.},
title = {Directed polymers in a random environment: some results on
fluctuations},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {89},
year = {1997},
number = {3-4},
pages = {581--603},
issn = {0022-4715},
mrclass = {82B44 (60K35 82B41 82D60)},
mrnumber = {1484057},
mrreviewer = {Aernout C. D. van Enter},
doi = {10.1007/BF02765537},
url = {https://doi.org/10.1007/BF02765537}
}
@Article{ plischke.racz:85:dynamic,
title = {Dynamic scaling and the surface structure of Eden
clusters},
author = {Plischke, Michael and R\'acz, Zolt\'an},
journal = {Phys. Rev. A},
volume = {32},
issue = {6},
pages = {3825--3828},
numpages = {0},
year = {1985},
month = {Dec},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.32.3825},
url = {https://link.aps.org/doi/10.1103/PhysRevA.32.3825}
}
@Book{ podlubny:99:fractional,
author = {Podlubny, Igor},
title = {Fractional differential equations},
series = {Mathematics in Science and Engineering},
volume = {198},
note = {An introduction to fractional derivatives, fractional
differential equations, to methods of their solution and
some of their applications},
publisher = {Academic Press, Inc., San Diego, CA},
year = {1999},
pages = {xxiv+340},
isbn = {0-12-558840-2},
mrclass = {26A33 (34K05)},
mrnumber = {1658022},
mrreviewer = {Anatoly Kilbas}
}
@PhDThesis{ polat:17:optimal,
title = {The Optimal Obstacle Placement With Disambiguation
Problem},
author = {Polat, Charyyev},
school = {Ko\c{c} University},
year = {2017},
address = {Istanbul, Turkey}
}
@Article{ polchinski:04:monopoles,
author = {Polchinski, Joe},
title = {Monopoles, duality, and string theory},
journal = {Internat. J. Modern Phys. A},
fjournal = {International Journal of Modern Physics A. Particles and
Fields. Gravitation. Cosmology},
volume = {19},
year = {2004},
number = {February, suppl.},
pages = {145--154},
issn = {0217-751X},
mrclass = {81T30},
mrnumber = {2064571},
doi = {10.1142/S0217751X0401866X},
url = {https://doi.org/10.1142/S0217751X0401866X}
}
@Article{ polchinski:90:critical,
author = {Polchinski, Joseph},
title = {Critical behavior of random surfaces in one dimension},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {346},
year = {1990},
number = {2-3},
pages = {253--263},
issn = {0550-3213},
mrclass = {81T40 (81T27 81T30)},
mrnumber = {1080693},
mrreviewer = {Alexander R. Kavalov},
doi = {10.1016/0550-3213(90)90280-Q},
url = {https://doi.org/10.1016/0550-3213(90)90280-Q}
}
@Book{ polivanov:77:metody-sovremennou-i-matematicheskou-i-fiziki--1--funktsional-i-analiz,
author = {Polivanov, M. K.},
title = {{\cyr Metody sovremennou i matematicheskou i fiziki. 1:
Funktsional\cprimenyu i analiz}},
note = {Translated from the English by A. K. Pogrebkov and V. N.
Su\v sko, With a preface by N. N. Bogoljubov},
publisher = {Izdat. ``Mir'', Moscow},
year = {1977},
pages = {357},
mrclass = {47-02 (81.47)},
mrnumber = {493422}
}
@Book{ polya.szego:70:aufgaben,
author = {P\'{o}lya, Georg and Szeg\H{o}, G\'{a}bor},
title = {Aufgaben und {L}ehrs\"{a}tze aus der {A}nalysis. {B}and
{I}: {R}eihen, {I}ntegralrechnung, {F}unktionentheorie},
series = {Heidelberger Taschenb\"{u}cher, Band 73},
note = {Vierte Auflage},
publisher = {Springer-Verlag, Berlin-New York},
year = {1970},
pages = {xvi+338},
mrclass = {26.00},
mrnumber = {0271277}
}
@InCollection{ polyak:05:feynman,
author = {Polyak, Michael},
title = {Feynman diagrams for pedestrians and mathematicians},
booktitle = {Graphs and patterns in mathematics and theoretical
physics},
series = {Proc. Sympos. Pure Math.},
volume = {73},
pages = {15--42},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2005},
mrclass = {81Q30 (57M27 57R56 58D30 81T18)},
mrnumber = {2131010},
mrreviewer = {Domenico Fiorenza},
doi = {10.1090/pspum/073/2131010},
url = {https://doi.org/10.1090/pspum/073/2131010}
}
@Article{ polyakov:81:quantum,
author = {Polyakov, A. M.},
title = {Quantum geometry of bosonic strings},
journal = {Phys. Lett. B},
fjournal = {Physics Letters. B. Particle Physics, Nuclear Physics and
Cosmology},
volume = {103},
year = {1981},
number = {3},
pages = {207--210},
issn = {0370-2693},
mrclass = {81E99 (58D30 81G05 82A68)},
mrnumber = {623209},
doi = {10.1016/0370-2693(81)90743-7},
url = {https://doi.org/10.1016/0370-2693(81)90743-7}
}
@Book{ polyanin.nazaikinskii:16:handbook,
author = {Polyanin, Andrei D. and Nazaikinskii, Vladimir E.},
title = {Handbook of linear partial differential equations for
engineers and scientists},
edition = {Second},
publisher = {CRC Press, Boca Raton, FL},
year = {2016},
pages = {xxxiv+1609},
isbn = {978-1-4665-8145-6},
mrclass = {35-00 (00A06 35-01)},
mrnumber = {3445319},
doi = {10.1201/b19056},
url = {https://doi.org/10.1201/b19056}
}
@Book{ polyanin:02:handbook,
author = {Polyanin, Andrei D.},
title = {Handbook of linear partial differential equations for
engineers and scientists},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2002},
pages = {xviii+781},
isbn = {1-58488-299-9},
mrclass = {35-00 (00A06 35-01)},
mrnumber = {1935578}
}
@Book{ pommerenke:92:boundary,
author = {Pommerenke, Ch.},
title = {Boundary behaviour of conformal maps},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {299},
publisher = {Springer-Verlag, Berlin},
year = {1992},
pages = {x+300},
isbn = {3-540-54751-7},
mrclass = {30C35 (42B99)},
mrnumber = {1217706},
mrreviewer = {Albert Baernstein, II},
doi = {10.1007/978-3-662-02770-7},
url = {https://doi.org/10.1007/978-3-662-02770-7}
}
@InCollection{ pooley.robinson:16:well-posedness,
author = {Pooley, Benjamin C. and Robinson, James C.},
title = {Well-posedness for the diffusive 3{D} {B}urgers equations
with initial data in {$H^{1/2}$}},
booktitle = {Recent progress in the theory of the {E}uler and
{N}avier-{S}tokes equations},
series = {London Math. Soc. Lecture Note Ser.},
volume = {430},
pages = {137--153},
publisher = {Cambridge Univ. Press, Cambridge},
year = {2016},
mrclass = {35Q53 (35B30 76D03)},
mrnumber = {3497691},
mrreviewer = {Luiz Gustavo Farah}
}
@Article{ popa:76:on,
author = {Popa, V.},
title = {On connected bitopological {$M$}-products},
journal = {Bul. \c{S}ti. Tehn. Inst. Politehn. "Traian Vuia"
Timi\c{s}oara},
fjournal = {Buletinul \c{S}tiin\c{t}ific \c{s}i Tehnic al Institutului
Politehnic "Traian Vuia" Timi\c{s}oara},
volume = {21(35)},
year = {1976},
number = {2},
pages = {139--140},
issn = {1220-0581},
mrclass = {54E55},
mrnumber = {448313},
mrreviewer = {Toma Albu}
}
@Article{ popov.sedletskiui:11:distribution,
author = {Popov, A. Yu. and Sedletskiu{i}, A. M.},
title = {Distribution of roots of {M}ittag-{L}effler functions},
journal = {Sovrem. Mat. Fundam. Napravl.},
fjournal = {Sovremennaya Matematika. Fundamental{\cprime}nye
Napravleniya},
volume = {40},
year = {2011},
number = {},
pages = {3--171},
issn = {2413-3639},
mrclass = {33E12},
mrnumber = {2883249},
mrreviewer = {Galina V. Filipuk},
doi = {10.1007/s10958-013-1255-3},
url = {https://doi.org/10.1007/s10958-013-1255-3}
}
@Article{ popovic.veber:20:spatial,
title = {A spatial measure-valued model for chemical reaction
networks in heterogeneous systems},
author = {Lea Popovic and Amandine Veber},
year = {2020},
month = {August},
journal = {Preprint arXiv:2008.12373},
url = {http://arXiv.org/abs/2008.12373}
}
@Article{ portal.veraar:19:stochastic,
author = {Portal, Pierre and Veraar, Mark},
title = {Stochastic maximal regularity for rough time-dependent
problems},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {7},
year = {2019},
number = {4},
pages = {541--597},
issn = {2194-0401,2194-041X},
mrclass = {60H15 (35B65 35R60 42B37 47D06)},
mrnumber = {4022283},
mrreviewer = {Markus\ Kunze},
doi = {10.1007/s40072-019-00134-w},
url = {https://doi.org/10.1007/s40072-019-00134-w}
}
@Article{ porter.rosenzweig:60:statistical,
author = {Porter, Charles E. and Rosenzweig, Norbert},
title = {Statistical properties of atomic and nuclear spectra},
journal = {Ann. Acad. Sci. Fenn. Ser. A VI Phys.},
fjournal = {Annales Academiae Scientiarum Fennicae. Series A VI.
Physica},
number = {44},
year = {1960},
pages = {66},
issn = {0066-2003},
mrclass = {81.00},
mrnumber = {118377},
mrreviewer = {F. Rohrlich}
}
@Article{ pospisil.tribe:07:parameter,
author = {Posp\'{i}\v{s}il, Jan and Tribe, Roger},
title = {Parameter estimates and exact variations for stochastic
heat equations driven by space-time white noise},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {25},
year = {2007},
number = {3},
pages = {593--611},
issn = {0736-2994},
mrclass = {62M09 (60H15)},
mrnumber = {2321899},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1080/07362990701282849},
url = {https://doi.org/10.1080/07362990701282849}
}
@Article{ potapov.hillen:05:metastability,
author = {Potapov, A. B. and Hillen, T.},
title = {Metastability in chemotaxis models},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {17},
year = {2005},
number = {2},
pages = {293--330},
issn = {1040-7294},
mrclass = {35K57 (37L10 92C17)},
mrnumber = {2157782},
mrreviewer = {Dirk Horstmann},
doi = {10.1007/s10884-005-2938-3},
url = {https://doi.org/10.1007/s10884-005-2938-3}
}
@Article{ poupaud:02:diagonal,
author = {Poupaud, Fr\'{e}d\'{e}ric},
title = {Diagonal defect measures, adhesion dynamics and {E}uler
equation},
journal = {Methods Appl. Anal.},
fjournal = {Methods and Applications of Analysis},
volume = {9},
year = {2002},
number = {4},
pages = {533--561},
issn = {1073-2772},
mrclass = {35Q35 (76B03)},
mrnumber = {2006604},
mrreviewer = {Drago\c{s} Iftimie},
doi = {10.4310/MAA.2002.v9.n4.a4},
url = {https://doi.org/10.4310/MAA.2002.v9.n4.a4}
}
@Article{ powell:19:unified,
title = {A unified framework for stochastic optimization},
author = {Powell, Warren B},
journal = {European Journal of Operational Research},
volume = {275},
number = {3},
pages = {795--821},
year = {2019},
publisher = {Elsevier}
}
@InCollection{ prahofer.spohn:02:current,
author = {Pr\"{a}hofer, Michael and Spohn, Herbert},
title = {Current fluctuations for the totally asymmetric simple
exclusion process},
booktitle = {In and out of equilibrium ({M}ambucaba, 2000)},
series = {Progr. Probab.},
volume = {51},
pages = {185--204},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2002},
mrclass = {60K35 (82C22 82C31)},
mrnumber = {1901953},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen}
}
@InCollection{ prahofer.spohn:02:scale,
author = {Pr\"{a}hofer, Michael and Spohn, Herbert},
title = {Scale invariance of the {PNG} droplet and the {A}iry
process},
note = {Dedicated to David Ruelle and Yasha Sinai on the occasion
of their 65th birthdays},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {108},
year = {2002},
number = {5-6},
pages = {1071--1106},
issn = {0022-4715},
mrclass = {82C05 (82C41)},
mrnumber = {1933446},
mrreviewer = {Andreas Degenhard},
doi = {10.1023/A:1019791415147},
url = {https://doi.org/10.1023/A:1019791415147}
}
@Article{ prahofer.spohn:04:exact,
author = {Pr\"{a}hofer, Michael and Spohn, Herbert},
title = {Exact scaling functions for one-dimensional stationary
{KPZ} growth},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {115},
year = {2004},
number = {1-2},
pages = {255--279},
issn = {0022-4715},
mrclass = {82C31 (82C44)},
mrnumber = {2070096},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1023/B:JOSS.0000019810.21828.fc},
url = {https://doi.org/10.1023/B:JOSS.0000019810.21828.fc}
}
@Book{ prakasa-rao:12:associated,
author = {Prakasa Rao, B. L. S.},
title = {Associated sequences, demimartingales and nonparametric
inference},
series = {Probability and its Applications},
publisher = {Birkh\"{a}user/Springer, Basel},
year = {2012},
pages = {xii+272},
isbn = {978-3-0348-0239-0; 978-3-0348-0240-6},
mrclass = {60G48 (60G42 62G05 62G10)},
mrnumber = {3025761},
mrreviewer = {Tasos C. Christofides},
doi = {10.1007/978-3-0348-0240-6},
url = {https://doi.org/10.1007/978-3-0348-0240-6}
}
@Article{ prause.smirnov:11:quasisymmetric,
author = {Prause, Istv\'{a}n and Smirnov, Stanislav},
title = {Quasisymmetric distortion spectrum},
journal = {Bull. Lond. Math. Soc.},
fjournal = {Bulletin of the London Mathematical Society},
volume = {43},
year = {2011},
number = {2},
pages = {267--277},
issn = {0024-6093,1469-2120},
mrclass = {30C62 (30C75 30C80 30C85)},
mrnumber = {2781207},
mrreviewer = {Pavel\ A.\ Gumenuk},
doi = {10.1112/blms/bdq098},
url = {https://doi.org/10.1112/blms/bdq098}
}
@Book{ prevot.rockner:07:concise,
author = {Pr\'{e}v\^{o}t, Claudia and R\"{o}ckner, Michael},
title = {A concise course on stochastic partial differential
equations},
series = {Lecture Notes in Mathematics},
volume = {1905},
publisher = {Springer, Berlin},
year = {2007},
pages = {vi+144},
isbn = {978-3-540-70780-6; 3-540-70780-8},
mrclass = {60H15 (60-01)},
mrnumber = {2329435},
mrreviewer = {Sandra Cerrai}
}
@Article{ priebe.fishkind.ea:05:random,
title = {Random disambiguation paths for traversing a mapped hazard
field},
author = {Priebe, Carey E and Fishkind, Donniell E and Abrams,
Lowell and Piatko, Christine D},
journal = {Naval Research Logistics (NRL)},
volume = {52},
number = {3},
pages = {285--292},
year = {2005},
publisher = {Wiley Online Library}
}
@Article{ priola.shirikyan.ea:12:exponential,
author = {Priola, Enrico and Shirikyan, Armen and Xu, Lihu and
Zabczyk, Jerzy},
title = {Exponential ergodicity and regularity for equations with
{L}\'{e}vy noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {1},
pages = {106--133},
issn = {0304-4149},
mrclass = {60H15 (35R60 47D07 60J35 60J75)},
mrnumber = {2860444},
mrreviewer = {Alp O. Eden},
doi = {10.1016/j.spa.2011.10.003},
url = {https://doi.org/10.1016/j.spa.2011.10.003}
}
@Article{ priola.xu.ea:11:exponential,
author = {Priola, Enrico and Xu, Lihu and Zabczyk, Jerzy},
title = {Exponential mixing for some {SPDE}s with {L}\'{e}vy noise},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {11},
year = {2011},
number = {2-3},
pages = {521--534},
issn = {0219-4937},
mrclass = {60H15 (35R60 60G52 60J75)},
mrnumber = {2836539},
mrreviewer = {No\`elia Viles},
doi = {10.1142/S0219493711003425},
url = {https://doi.org/10.1142/S0219493711003425}
}
@Article{ priola.zabczyk:03:null,
author = {Priola, Enrico and Zabczyk, Jerzy},
title = {Null controllability with vanishing energy},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {42},
year = {2003},
number = {3},
pages = {1013--1032},
issn = {0363-0129},
mrclass = {93B05 (34G10 93C25)},
mrnumber = {2002145},
mrreviewer = {Birgit Jacob},
doi = {10.1137/S0363012902409970},
url = {https://doi.org/10.1137/S0363012902409970}
}
@Article{ priola.zabczyk:04:liouville,
author = {Priola, Enrico and Zabczyk, Jerzy},
title = {Liouville theorems for non-local operators},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {216},
year = {2004},
number = {2},
pages = {455--490},
issn = {0022-1236},
mrclass = {35S05 (31B05 47D07 60H10 60H20 60H30 60J75)},
mrnumber = {2095690},
mrreviewer = {Niels Jacob},
doi = {10.1016/j.jfa.2004.04.001},
url = {https://doi.org/10.1016/j.jfa.2004.04.001}
}
@InCollection{ priola.zabczyk:06:harmonic,
author = {Priola, Enrico and Zabczyk, Jerzy},
title = {Harmonic functions for generalized {M}ehler semigroups},
booktitle = {Stochastic partial differential equations and
applications---{VII}},
series = {Lect. Notes Pure Appl. Math.},
volume = {245},
pages = {243--256},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
mrclass = {60J35 (47D06 60H10)},
mrnumber = {2227233},
mrreviewer = {Denis R. Bell},
doi = {10.1201/9781420028720.ch20},
url = {https://doi.org/10.1201/9781420028720.ch20}
}
@Article{ priola.zabczyk:06:on,
author = {Priola, Enrico and Zabczyk, Jerzy},
title = {On bounded solutions to convolution equations},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {134},
year = {2006},
number = {11},
pages = {3275--3286},
issn = {0002-9939},
mrclass = {31C05 (43A70 47D07)},
mrnumber = {2231912},
mrreviewer = {Christophe Cuny},
doi = {10.1090/S0002-9939-06-08608-4},
url = {https://doi.org/10.1090/S0002-9939-06-08608-4}
}
@Article{ priola.zabczyk:09:densities,
author = {Priola, Enrico and Zabczyk, Jerzy},
title = {Densities for {O}rnstein-{U}hlenbeck processes with
jumps},
journal = {Bull. Lond. Math. Soc.},
fjournal = {Bulletin of the London Mathematical Society},
volume = {41},
year = {2009},
number = {1},
pages = {41--50},
issn = {0024-6093},
mrclass = {60J75 (47D07 60H10)},
mrnumber = {2481987},
doi = {10.1112/blms/bdn099},
url = {https://doi.org/10.1112/blms/bdn099}
}
@InCollection{ priola.zabczyk:10:on,
author = {Priola, Enrico and Zabczyk, Jerzy},
title = {On linear evolution equations for a class of cylindrical
{L}\'{e}vy noises},
booktitle = {Stochastic partial differential equations and
applications},
series = {Quad. Mat.},
volume = {25},
pages = {223--242},
publisher = {Dept. Math., Seconda Univ. Napoli, Caserta},
year = {2010},
mrclass = {60H15 (60G51)},
mrnumber = {2985090},
mrreviewer = {Marco Dozzi}
}
@Article{ priola.zabczyk:11:structural,
author = {Priola, Enrico and Zabczyk, Jerzy},
title = {Structural properties of semilinear {SPDE}s driven by
cylindrical stable processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {149},
year = {2011},
number = {1-2},
pages = {97--137},
issn = {0178-8051},
mrclass = {60H15 (35R60 47D07 60G52 60J35)},
mrnumber = {2773026},
mrreviewer = {David Applebaum},
doi = {10.1007/s00440-009-0243-5},
url = {https://doi.org/10.1007/s00440-009-0243-5}
}
@Article{ priola.zambotti:00:new,
author = {Priola, Enrico and Zambotti, Lorenzo},
title = {New optimal regularity results for infinite-dimensional
elliptic equations},
journal = {Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8)},
fjournal = {Bollettino della Unione Matematica Italiana. Serie VIII.
Sezione B. Articoli di Ricerca Matematica},
volume = {3},
year = {2000},
number = {2},
pages = {411--429},
issn = {0392-4041},
mrclass = {35R15 (35J99)},
mrnumber = {1769994},
mrreviewer = {Stanis\l aw\ W\polhk{e}drychowicz}
}
@Article{ pritchard.zabczyk:81:stability,
author = {Pritchard, A. J. and Zabczyk, J.},
title = {Stability and stabilizability of infinite-dimensional
systems},
journal = {SIAM Rev.},
fjournal = {SIAM Review. A Publication of the Society for Industrial
and Applied Mathematics},
volume = {23},
year = {1981},
number = {1},
pages = {25--52},
issn = {0036-1445},
mrclass = {93D20},
mrnumber = {605439},
doi = {10.1137/1023003},
url = {https://doi.org/10.1137/1023003}
}
@Article{ prolhac.spohn:11:one-dimensional,
author = {Prolhac, Sylvain and Spohn, Herbert},
title = {The one-dimensional {KPZ} equation and the {A}iry
process},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2011},
number = {3},
pages = {P03020, 15},
mrclass = {82C23 (60B20 60J65 82C44)},
mrnumber = {2801168},
mrreviewer = {Florent Benaych-Georges},
doi = {10.1088/1742-5468/2011/03/p03020},
url = {https://doi.org/10.1088/1742-5468/2011/03/p03020}
}
@Article{ prolhac.spohn:11:two-point,
author = {Prolhac, Sylvain and Spohn, Herbert},
title = {Two-point generating function of the free energy for a
directed polymer in a random medium},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2011},
number = {1},
pages = {P01031, 25},
mrclass = {82B44 (60K37)},
mrnumber = {2770605},
mrreviewer = {Ivan Corwin},
doi = {10.1088/1742-5468/2011/01/p01031},
url = {https://doi.org/10.1088/1742-5468/2011/01/p01031}
}
@Article{ pronk.veraar:14:new,
author = {Pronk, Matthijs and Veraar, Mark},
title = {A new approach to stochastic evolution equations with
adapted drift},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {256},
year = {2014},
number = {11},
pages = {3634--3683},
issn = {0022-0396,1090-2732},
mrclass = {60H15 (35R60 47D06)},
mrnumber = {3186842},
mrreviewer = {Markus\ Kunze},
doi = {10.1016/j.jde.2014.02.014},
url = {https://doi.org/10.1016/j.jde.2014.02.014}
}
@Article{ pronk.veraar:14:tools,
author = {Pronk, Matthijs and Veraar, Mark},
title = {Tools for {M}alliavin calculus in {UMD} {B}anach spaces},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {40},
year = {2014},
number = {4},
pages = {307--344},
issn = {0926-2601,1572-929X},
mrclass = {60H07 (60B11 60H05)},
mrnumber = {3201985},
mrreviewer = {H\'el\`ene\ Airault},
doi = {10.1007/s11118-013-9350-0},
url = {https://doi.org/10.1007/s11118-013-9350-0}
}
@Book{ protter.weinberger:84:maximum,
author = {Protter, Murray H. and Weinberger, Hans F.},
title = {Maximum principles in differential equations},
note = {Corrected reprint of the 1967 original},
publisher = {Springer-Verlag, New York},
year = {1984},
pages = {x+261},
isbn = {0-387-96068-6},
mrclass = {35B50 (35-01)},
mrnumber = {762825},
doi = {10.1007/978-1-4612-5282-5},
url = {https://doi.org/10.1007/978-1-4612-5282-5}
}
@Book{ protter:05:stochastic,
author = {Protter, Philip E.},
title = {Stochastic integration and differential equations},
series = {Stochastic Modelling and Applied Probability},
volume = {21},
note = {Second edition. Version 2.1, Corrected third printing},
publisher = {Springer-Verlag, Berlin},
year = {2005},
pages = {xiv+419},
isbn = {3-540-00313-4},
mrclass = {60-02 (60G44 60H05 60H10 60H20)},
mrnumber = {2273672},
mrreviewer = {Evelyn Buckwar},
doi = {10.1007/978-3-662-10061-5},
url = {https://doi.org/10.1007/978-3-662-10061-5}
}
@Article{ protter:85:volterra,
author = {Protter, Philip},
title = {Volterra equations driven by semimartingales},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {13},
year = {1985},
number = {2},
pages = {519--530},
issn = {0091-1798},
mrclass = {60H20 (45D05 60H05)},
mrnumber = {781420},
mrreviewer = {M. M\'{e}tivier},
url = {http://links.jstor.org/sici?sici=0091-1798(198505)13:2<519:VEDBS>2.0.CO;2-3&origin=MSN}
}
@Book{ prudnikov.brychkov.ea:86:integrals,
author = {Prudnikov, A. P. and Brychkov, Yu. A. and Marichev, O.
I.},
title = {Integrals and series. {V}ol. 1},
note = {Elementary functions, Translated from the Russian and with
a preface by N. M. Queen},
publisher = {Gordon \& Breach Science Publishers, New York},
year = {1986},
pages = {798},
isbn = {2-88124-097-6},
mrclass = {00A22 (33-00)},
mrnumber = {874986}
}
@Book{ prudnikov.brychkov.ea:88:integrals,
author = {Prudnikov, A. P. and Brychkov, Yu. A. and Marichev, O.
I.},
title = {Integrals and series. {V}ol. 2},
edition = {Second},
note = {Special functions, Translated from the Russian by N. M.
Queen},
publisher = {Gordon \& Breach Science Publishers, New York},
year = {1988},
pages = {750},
isbn = {2-88124-090-9},
mrclass = {00A22 (33-00)},
mrnumber = {950173}
}
@Book{ prudnikov.brychkov.ea:90:integrals,
author = {Prudnikov, A. P. and Brychkov, Yu. A. and Marichev, O.
I.},
title = {Integrals and series. {V}ol. 3},
note = {More special functions, Translated from the Russian by G.
G. Gould},
publisher = {Gordon and Breach Science Publishers, New York},
year = {1990},
pages = {800},
isbn = {2-88124-682-6},
mrclass = {33-00 (00A20 26-00)},
mrnumber = {1054647}
}
@Book{ prudnikov.brychkov.ea:92:integrals,
author = {Prudnikov, A. P. and Brychkov, Yu. A. and Marichev, O.
I.},
title = {Integrals and series. {V}ol. 5},
note = {Inverse Laplace transforms},
publisher = {Gordon and Breach Science Publishers, New York},
year = {1992},
pages = {xx+595},
isbn = {2-88124-838-1},
mrclass = {44-00 (00A20 26-00 33-00 44A35)},
mrnumber = {1162980},
mrreviewer = {J.\ M. H. Peters}
}
@Book{ prudnikov.brychkov.ea:92:integrals*1,
author = {Prudnikov, A. P. and Brychkov, Yu. A. and Marichev, O.
I.},
title = {Integrals and series. {V}ol. 4},
note = {Direct Laplace transforms},
publisher = {Gordon and Breach Science Publishers, New York},
year = {1992},
pages = {xx+619},
isbn = {2-88124-837-3},
mrclass = {44A10 (33-00 44-00 44A20 44A35)},
mrnumber = {1162979},
mrreviewer = {J.\ M. H. Peters}
}
@Book{ pruss:93:evolutionary,
author = {Pr\"{u}ss, Jan},
title = {Evolutionary integral equations and applications},
series = {Modern Birkh\"{a}user Classics},
note = {[2012] reprint of the 1993 edition},
publisher = {Birkh\"{a}user/Springer Basel AG, Basel},
year = {1993},
pages = {xxvi+366},
isbn = {978-3-0348-0498-1},
mrclass = {45N05 (45-02 47D06)},
mrnumber = {2964432},
doi = {10.1007/978-3-0348-8570-6},
url = {https://doi.org/10.1007/978-3-0348-8570-6}
}
@Article{ przytycki.rivera-letelier.ea:03:equivalence,
author = {Przytycki, Feliks and Rivera-Letelier, Juan and Smirnov,
Stanislav},
title = {Equivalence and topological invariance of conditions for
non-uniform hyperbolicity in the iteration of rational
maps},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {151},
year = {2003},
number = {1},
pages = {29--63},
issn = {0020-9910,1432-1297},
mrclass = {37F10 (37F15)},
mrnumber = {1943741},
mrreviewer = {Peter\ Ha\"{i}ssinsky},
doi = {10.1007/s00222-002-0243-x},
url = {https://doi.org/10.1007/s00222-002-0243-x}
}
@Article{ przytycki.rivera-letelier.ea:04:equality,
author = {Przytycki, Feliks and Rivera-Letelier, Juan and Smirnov,
Stanislav},
title = {Equality of pressures for rational functions},
journal = {Ergodic Theory Dynam. Systems},
fjournal = {Ergodic Theory and Dynamical Systems},
volume = {24},
year = {2004},
number = {3},
pages = {891--914},
issn = {0143-3857,1469-4417},
mrclass = {37F10 (37D35 37F35 37F50)},
mrnumber = {2062924},
mrreviewer = {Christian\ P.\ Wolf},
doi = {10.1017/S0143385703000385},
url = {https://doi.org/10.1017/S0143385703000385}
}
@Article{ pskhu:03:solution,
author = {Pskhu, A. V.},
title = {Solution of boundary value problems for a diffusion
equation of fractional order by the {G}reen's function
method},
journal = {Differ. Uravn.},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {39},
year = {2003},
number = {10},
pages = {1430--1433, 1440},
issn = {0374-0641},
mrclass = {26A33 (35A08)},
mrnumber = {1955042},
mrreviewer = {Paulius Mi\v{s}kinis},
doi = {10.1023/B:DIEQ.0000017925.68789.e9},
url = {https://doi.org/10.1023/B:DIEQ.0000017925.68789.e9}
}
@Article{ pskhu:03:solution*1,
author = {Pskhu, A. V.},
title = {Solution of the first boundary value problem for a
diffusion equation of fractional order},
journal = {Differ. Uravn.},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {39},
year = {2003},
number = {9},
pages = {1286--1289, 1296},
issn = {0374-0641},
mrclass = {26A33 (35G15)},
mrnumber = {1955067},
mrreviewer = {Paulius Mi\v{s}kinis},
doi = {10.1023/B:DIEQ.0000012703.45373.aa},
url = {https://doi.org/10.1023/B:DIEQ.0000012703.45373.aa}
}
@Book{ pskhu:05:uravneniya-v-chastnykh-proizvodnykh-drobnogo-poryadka,
author = {Pskhu, A. V.},
title = {{\cyr Uravneniya v chastnykh proizvodnykh drobnogo
poryadka}},
publisher = {``Nauka'', Moscow},
year = {2005},
pages = {200},
isbn = {5-02-033721-8},
mrclass = {35-02 (26A33 35A08 35K57)},
mrnumber = {2330051},
mrreviewer = {Anatoly Kilbas}
}
@Article{ pskhu:09:fundamental,
author = {Pskhu, A. V.},
title = {The fundamental solution of a diffusion-wave equation of
fractional order},
journal = {Izv. Ross. Akad. Nauk Ser. Mat.},
fjournal = {Izvestiya Rossiiskoi Akademii Nauk. Seriya
Matematicheskaya},
volume = {73},
year = {2009},
number = {2},
pages = {141--182},
issn = {1607-0046},
mrclass = {35A08 (26A33 35K57)},
mrnumber = {2532450},
mrreviewer = {Vitali A. Liskevich},
doi = {10.1070/IM2009v073n02ABEH002450},
url = {https://doi.org/10.1070/IM2009v073n02ABEH002450}
}
@InCollection{ purwins.bodeker.ea:05:dissipative,
author = {Purwins, H.-G. and B\"{o}deker, H. U. and Liehr, A. W.},
title = {Dissipative solitons in reaction-diffusion systems},
booktitle = {Dissipative solitons},
series = {Lecture Notes in Phys.},
volume = {661},
pages = {267--308},
publisher = {Springer, Berlin},
year = {2005},
mrclass = {35Q51 (35K57 37L99)},
mrnumber = {2174298},
mrreviewer = {Wen-Xiu Ma},
doi = {10.1007/10928028\_11},
url = {https://doi.org/10.1007/10928028_11}
}
@Book{ puterman:14:markov,
title = {{Markov} Decision Processes: {Discrete} Stochastic Dynamic
Programming},
author = {Puterman, Martin L},
year = {2014},
publisher = {John Wiley \& Sons}
}
@Article{ qi:10:bounds,
author = {Qi, Feng},
title = {Bounds for the ratio of two gamma functions},
journal = {J. Inequal. Appl.},
fjournal = {Journal of Inequalities and Applications},
year = {2010},
pages = {Art. ID 493058, 84},
issn = {1025-5834},
mrclass = {33B15 (33-02 33D45)},
mrnumber = {2611044},
mrreviewer = {Richard B. Paris},
doi = {10.1155/2010/493058},
url = {https://doi.org/10.1155/2010/493058}
}
@Article{ qian.shen.ea:89:qualitative,
author = {Qian, Min and Shen, Wen Xian and Zhang, Jin Yan},
title = {Qualitative analysis of a {P}-{L}-{L} equation with
tangent characteristic and frequency modulation input},
journal = {Chinese Sci. Bull.},
fjournal = {Chinese Science Bulletin. Kexue Tongbao},
volume = {34},
year = {1989},
number = {18},
pages = {1497--1502},
issn = {1001-6538},
mrclass = {58F22 (34C25)},
mrnumber = {1030133}
}
@Article{ qian.shen.ea:90:dynamical,
author = {Qian, Min and Shen, Wen Xian and Zhang, Jin Yan},
title = {Dynamical behavior in coupled systems of {$J$}-{$J$}
type},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {88},
year = {1990},
number = {1},
pages = {175--212},
issn = {0022-0396,1090-2732},
mrclass = {58F12 (34C15 34D45)},
mrnumber = {1079864},
mrreviewer = {Douglas\ S.\ Shafer},
doi = {10.1016/0022-0396(90)90114-5},
url = {https://doi.org/10.1016/0022-0396(90)90114-5}
}
@Article{ qian.shen:90:dynamical,
author = {Qian, Min and Shen, Wen Xian},
title = {Dynamical behavior in the equation of {J}osephson junction
type},
journal = {Sci. China Ser. A},
fjournal = {Science in China (Scientia Sinica). Series A. Mathematics,
Physics, Astronomy},
volume = {33},
year = {1990},
number = {4},
pages = {409--422},
issn = {1001-6511},
mrclass = {34C15 (34C25 34D45 58F22)},
mrnumber = {1070686},
mrreviewer = {J.\ Angel\ Rodr\'{i}guez}
}
@InCollection{ quastel.jankowski.ea:02:central,
author = {Quastel, Jeremy and Jankowski, Hanna and Sheriff, John},
title = {Central limit theorem for zero-range processes},
note = {Special issue dedicated to Daniel W. Stroock and Srinivasa
S. R. Varadhan on the occasion of their 60th birthday},
journal = {Methods Appl. Anal.},
fjournal = {Methods and Applications of Analysis},
volume = {9},
year = {2002},
number = {3},
pages = {393--406},
issn = {1073-2772},
mrclass = {60F05 (60F17 60J55)},
mrnumber = {2023132},
mrreviewer = {Ingo Fahrner},
doi = {10.4310/MAA.2002.v9.n3.a6},
url = {https://doi.org/10.4310/MAA.2002.v9.n3.a6}
}
@InCollection{ quastel.matetski:19:from,
author = {Quastel, Jeremy and Matetski, Konstantin},
title = {From the totally asymmetric simple exclusion process to
the {KPZ} fixed point},
booktitle = {Random matrices},
series = {IAS/Park City Math. Ser.},
volume = {26},
pages = {251--301},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2019},
mrclass = {60K35 (82C27)},
mrnumber = {3971157},
mrreviewer = {B\'{a}lint Vet\H{o}}
}
@Article{ quastel.rahman:20:tasep,
author = {Quastel, Jeremy and Rahman, Mustazee},
title = {T{ASEP} fluctuations with soft-shock initial data},
journal = {Ann. H. Lebesgue},
fjournal = {Annales Henri Lebesgue},
volume = {3},
year = {2020},
pages = {999--1021},
mrclass = {60K35 (46N30 82C22)},
mrnumber = {4149832},
mrreviewer = {Christian Tutschka},
doi = {10.5802/ahl.52},
url = {https://doi.org/10.5802/ahl.52}
}
@Article{ quastel.remenik:11:local,
author = {Quastel, Jeremy and Remenik, Daniel},
title = {Local {B}rownian property of the narrow wedge solution of
the {KPZ} equation},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {16},
year = {2011},
pages = {712--719},
mrclass = {60H15 (60K35)},
mrnumber = {2861435},
mrreviewer = {Xinghua Zheng},
doi = {10.1214/ECP.v16-1678},
url = {https://doi.org/10.1214/ECP.v16-1678}
}
@Article{ quastel.remenik:13:local,
author = {Quastel, Jeremy and Remenik, Daniel},
title = {Local behavior and hitting probabilities of the
{$\text{Airy}_1$} process},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {157},
year = {2013},
number = {3-4},
pages = {605--634},
issn = {0178-8051},
mrclass = {60K35 (60G17)},
mrnumber = {3129799},
mrreviewer = {Mathew Joseph},
doi = {10.1007/s00440-012-0466-8},
url = {https://doi.org/10.1007/s00440-012-0466-8}
}
@Article{ quastel.remenik:13:supremum,
author = {Quastel, Jeremy and Remenik, Daniel},
title = {Supremum of the {$\rm Airy_2$} process minus a parabola on
a half line},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {150},
year = {2013},
number = {3},
pages = {442--456},
issn = {0022-4715},
mrclass = {60K35 (60B20 82C05 82C41)},
mrnumber = {3024136},
doi = {10.1007/s10955-012-0633-4},
url = {https://doi.org/10.1007/s10955-012-0633-4}
}
@InCollection{ quastel.remenik:14:airy,
author = {Quastel, Jeremy and Remenik, Daniel},
title = {Airy processes and variational problems},
booktitle = {Topics in percolative and disordered systems},
series = {Springer Proc. Math. Stat.},
volume = {69},
pages = {121--171},
publisher = {Springer, New York},
year = {2014},
mrclass = {60G10 (60-02 60B20 60F17 82B44)},
mrnumber = {3229288},
doi = {10.1007/978-1-4939-0339-9\_5},
url = {https://doi.org/10.1007/978-1-4939-0339-9_5}
}
@Article{ quastel.remenik:15:tails,
author = {Quastel, Jeremy and Remenik, Daniel},
title = {Tails of the endpoint distribution of directed polymers},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {51},
year = {2015},
number = {1},
pages = {1--17},
issn = {0246-0203},
mrclass = {60K35 (82C23)},
mrnumber = {3300961},
mrreviewer = {Olga Izyumtseva},
doi = {10.1214/12-AIHP525},
url = {https://doi.org/10.1214/12-AIHP525}
}
@Article{ quastel.remenik:19:how,
author = {Quastel, Jeremy and Remenik, Daniel},
title = {How flat is flat in random interface growth?},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {371},
year = {2019},
number = {9},
pages = {6047--6085},
issn = {0002-9947},
mrclass = {60K35 (35K59 35R60 82C21)},
mrnumber = {3937318},
doi = {10.1090/tran/7338},
url = {https://doi.org/10.1090/tran/7338}
}
@Article{ quastel.rezakhanlou.ea:99:large,
author = {Quastel, J. and Rezakhanlou, F. and Varadhan, S. R. S.},
title = {Large deviations for the symmetric simple exclusion
process in dimensions {$d\geq 3$}},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {113},
year = {1999},
number = {1},
pages = {1--84},
issn = {0178-8051},
mrclass = {60K35 (60F10)},
mrnumber = {1670733},
mrreviewer = {Peter Eichelsbacher},
doi = {10.1007/s004400050202},
url = {https://doi.org/10.1007/s004400050202}
}
@Article{ quastel.sarkar:23:convergence,
author = {Quastel, Jeremy and Sarkar, Sourav},
title = {Convergence of exclusion processes and the {KPZ} equation
to the {KPZ} fixed point},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {36},
year = {2023},
number = {1},
pages = {251--289},
issn = {0894-0347},
mrclass = {60K35 (60H15 82C24)},
mrnumber = {4495842},
doi = {10.1090/jams/999},
url = {https://doi.org/10.1090/jams/999}
}
@Article{ quastel.spohn:15:one-dimensional,
author = {Quastel, Jeremy and Spohn, Herbert},
title = {The one-dimensional {KPZ} equation and its universality
class},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {160},
year = {2015},
number = {4},
pages = {965--984},
issn = {0022-4715},
mrclass = {82C23},
mrnumber = {3373647},
doi = {10.1007/s10955-015-1250-9},
url = {https://doi.org/10.1007/s10955-015-1250-9}
}
@Article{ quastel.valko:07:t13,
author = {Quastel, Jeremy and Valko, Benedek},
title = {{$t^{1/3}$} {S}uperdiffusivity of finite-range asymmetric
exclusion processes on {$\mathbb{Z}$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {273},
year = {2007},
number = {2},
pages = {379--394},
issn = {0010-3616},
mrclass = {60K35 (60J25 82B41 82C22)},
mrnumber = {2318311},
mrreviewer = {C\'{e}dric Bernardin},
doi = {10.1007/s00220-007-0242-2},
url = {https://doi.org/10.1007/s00220-007-0242-2}
}
@Article{ quastel.valko:08:kdv,
author = {Quastel, Jeremy and Valk\'{o}, Benedek},
title = {Kd{V} preserves white noise},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {277},
year = {2008},
number = {3},
pages = {707--714},
issn = {0010-3616},
mrclass = {35Q53 (37K10 82B31)},
mrnumber = {2365449},
mrreviewer = {Demetris P. K. Ghikas},
doi = {10.1007/s00220-007-0372-6},
url = {https://doi.org/10.1007/s00220-007-0372-6}
}
@InCollection{ quastel.valko:08:note,
author = {Quastel, Jeremy and Valk\'{o}, Benedek},
title = {A note on the diffusivity of finite-range asymmetric
exclusion processes on {$\mathbb{Z}$}},
booktitle = {In and out of equilibrium. 2},
series = {Progr. Probab.},
volume = {60},
pages = {543--549},
publisher = {Birkh\"{a}user, Basel},
year = {2008},
mrclass = {60K35 (82C22)},
mrnumber = {2477398},
doi = {10.1007/978-3-7643-8786-0\_25},
url = {https://doi.org/10.1007/978-3-7643-8786-0_25}
}
@Article{ quastel.valko:13:diffusivity,
author = {Quastel, Jeremy and Valk\'{o}, Benedek},
title = {Diffusivity of lattice gases},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {210},
year = {2013},
number = {1},
pages = {269--320},
issn = {0003-9527},
mrclass = {82C20 (60K35 76P05 82C22)},
mrnumber = {3073154},
mrreviewer = {Guido Gentile},
doi = {10.1007/s00205-013-0651-7},
url = {https://doi.org/10.1007/s00205-013-0651-7}
}
@Article{ quastel.varadhan:97:diffusion,
author = {Quastel, J. and Varadhan, S. R. S.},
title = {Diffusion semigroups and diffusion processes corresponding
to degenerate divergence form operators},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {50},
year = {1997},
number = {7},
pages = {667--706},
issn = {0010-3640},
mrclass = {60J60 (35K65 82C70)},
mrnumber = {1447057},
mrreviewer = {Ren Ming Song},
doi = {10.1002/(SICI)1097-0312(199707)50:7<667::AID-CPA3>3.3.CO;2-T},
url = {https://doi.org/10.1002/(SICI)1097-0312(199707)50:7<667::AID-CPA3>3.3.CO;2-T}
}
@Article{ quastel.yau:98:lattice,
author = {Quastel, J. and Yau, H.-T.},
title = {Lattice gases, large deviations, and the incompressible
{N}avier-{S}tokes equations},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {148},
year = {1998},
number = {1},
pages = {51--108},
issn = {0003-486X},
mrclass = {60K35 (60F10 76M35 82C22)},
mrnumber = {1652971},
mrreviewer = {S. R. S. Varadhan},
doi = {10.2307/120992},
url = {https://doi.org/10.2307/120992}
}
@InCollection{ quastel.yau:99:fluctuation-dissipation,
author = {Quastel, Jeremy and Yau, Horng-Tzer},
title = {Fluctuation-dissipation equation and incompressible
{N}avier-{S}tokes equations},
booktitle = {X{II}th {I}nternational {C}ongress of {M}athematical
{P}hysics ({ICMP} '97) ({B}risbane)},
pages = {120--130},
publisher = {Int. Press, Cambridge, MA},
year = {1999},
mrclass = {82B05 (35Q30 76D05 76M35 76P05 82-02 82B20)},
mrnumber = {1697269}
}
@InCollection{ quastel:00:free,
author = {Quastel, Jeremy},
title = {Free boundary problem and hydrodynamic limit},
booktitle = {Hydrodynamic limits and related topics ({T}oronto, {ON},
1998)},
series = {Fields Inst. Commun.},
volume = {27},
pages = {109--116},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {60K35 (82C41)},
mrnumber = {1798647},
doi = {10.1214/aop/1019160497},
url = {https://doi.org/10.1214/aop/1019160497}
}
@InCollection{ quastel:02:time,
author = {Quastel, Jeremy},
title = {Time reversal of degenerate diffusions},
booktitle = {In and out of equilibrium ({M}ambucaba, 2000)},
series = {Progr. Probab.},
volume = {51},
pages = {249--257},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2002},
mrclass = {60J60 (60K35)},
mrnumber = {1901956},
mrreviewer = {Ren Ming Song}
}
@Article{ quastel:06:bulk,
author = {Quastel, Jeremy},
title = {Bulk diffusion in a system with site disorder},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {5},
pages = {1990--2036},
issn = {0091-1798},
mrclass = {60K35 (60K37 82C44)},
mrnumber = {2271489},
mrreviewer = {Peter M\"{o}rters},
doi = {10.1214/009117906000000322},
url = {https://doi.org/10.1214/009117906000000322}
}
@InCollection{ quastel:10:kpz,
author = {Quastel, Jeremy},
title = {K{PZ} universality for {KPZ}},
booktitle = {X{VI}th {I}nternational {C}ongress on {M}athematical
{P}hysics},
pages = {401--405},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2010},
mrclass = {82C21 (60K35 82C24 82C44)},
mrnumber = {2730805},
mrreviewer = {Giambattista Giacomin},
doi = {10.1142/9789814304634\_0030},
url = {https://doi.org/10.1142/9789814304634_0030}
}
@InProceedings{ quastel:10:weakly,
author = {Quastel, Jeremy},
title = {Weakly asymmetric exclusion and {KPZ}},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians. {V}olume {IV}},
pages = {2310--2324},
publisher = {Hindustan Book Agency, New Delhi},
year = {2010},
mrclass = {60K35 (60H15 82C22)},
mrnumber = {2827973},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen}
}
@InCollection{ quastel:12:introduction,
author = {Quastel, Jeremy},
title = {Introduction to {KPZ}},
booktitle = {Current developments in mathematics, 2011},
pages = {125--194},
publisher = {Int. Press, Somerville, MA},
year = {2012},
mrclass = {60B20 (60F05 60H15 60K35 82Cxx)},
mrnumber = {3098078}
}
@InCollection{ quastel:14:exact,
author = {Quastel, Jeremy},
title = {Exact solutions of the {K}ardar-{P}arisi-{Z}hang equation
and weak universality for directed random polymers},
booktitle = {Random matrix theory, interacting particle systems, and
integrable systems},
series = {Math. Sci. Res. Inst. Publ.},
volume = {65},
pages = {443--450},
publisher = {Cambridge Univ. Press, New York},
year = {2014},
mrclass = {74A40 (60B20)},
mrnumber = {3380695},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves}
}
@InCollection{ quastel:14:kardar-parisi-zhang,
author = {Quastel, J. D.},
title = {The {K}ardar-{P}arisi-{Z}hang equation and universality
class},
booktitle = {X{VII}th {I}nternational {C}ongress on {M}athematical
{P}hysics},
pages = {113--133},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2014},
mrclass = {60-02 (35R60 60K35 60K37)},
mrnumber = {3204148},
mrreviewer = {Dong Wang}
}
@Book{ quastel:90:diffusion,
author = {Quastel, Jeremy Daniel},
title = {Diffusion of colour in the simple exclusion process},
note = {Thesis (Ph.D.)--New York University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1990},
pages = {80},
mrclass = {Thesis},
mrnumber = {2685265},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9102547}
}
@Article{ quastel:92:diffusion,
author = {Quastel, Jeremy},
title = {Diffusion of color in the simple exclusion process},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {45},
year = {1992},
number = {6},
pages = {623--679},
issn = {0010-3640},
mrclass = {60K35 (35K55 60J60 82C22)},
mrnumber = {1162368},
mrreviewer = {Christian Maes},
doi = {10.1002/cpa.3160450602},
url = {https://doi.org/10.1002/cpa.3160450602}
}
@Article{ quastel:95:large,
author = {Quastel, Jeremy},
title = {Large deviations from a hydrodynamic scaling limit for a
nongradient system},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {2},
pages = {724--742},
issn = {0091-1798},
mrclass = {60F10 (60J60 60K35)},
mrnumber = {1334168},
mrreviewer = {Christian Maes},
url = {http://links.jstor.org/sici?sici=0091-1798(199504)23:2<724:LDFAHS>2.0.CO;2-7&origin=MSN}
}
@InCollection{ quastel:96:diffusion,
author = {Quastel, J.},
title = {Diffusion in disordered media},
booktitle = {Nonlinear stochastic {PDE}s ({M}inneapolis, {MN}, 1994)},
series = {IMA Vol. Math. Appl.},
volume = {77},
pages = {65--79},
publisher = {Springer, New York},
year = {1996},
mrclass = {60K35 (60J60 82C44)},
mrnumber = {1395893},
doi = {10.1007/978-1-4613-8468-7\_4},
url = {https://doi.org/10.1007/978-1-4613-8468-7_4}
}
@Article{ quer-sardanyons.sanz-sole:03:existence,
author = {Quer-Sardanyons, Llu\'{i}s and Sanz-Sol\'{e}, Marta},
title = {Existence of density for the solution to the
three-dimensional stochastic wave equation},
journal = {RACSAM. Rev. R. Acad. Cienc. Exactas F\'{i}s. Nat. Ser. A
Mat.},
fjournal = {Revista de la Real Academia de Ciencias Exactas,
F\'{i}sicas y Naturales. Serie A. Matem\'{a}ticas. RACSAM},
volume = {97},
year = {2003},
number = {1},
pages = {63--68},
issn = {1578-7303},
mrclass = {60H15 (35L70 35R60)},
mrnumber = {2036743},
mrreviewer = {B. G. Pachpatte}
}
@Article{ quer-sardanyons.sanz-sole:04:absolute,
author = {Quer-Sardanyons, L. and Sanz-Sol\'{e}, M.},
title = {Absolute continuity of the law of the solution to the
3-dimensional stochastic wave equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {206},
year = {2004},
number = {1},
pages = {1--32},
issn = {0022-1236},
mrclass = {60H15},
mrnumber = {2024344},
mrreviewer = {Tom\'{a}s Caraballo},
doi = {10.1016/S0022-1236(03)00065-X},
url = {https://doi.org/10.1016/S0022-1236(03)00065-X}
}
@Article{ quer-sardanyons.sanz-sole:04:stochastic,
author = {Quer-Sardanyons, Llu\'{i}s and Sanz-Sol\'{e}, Marta},
title = {A stochastic wave equation in dimension 3: smoothness of
the law},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {10},
year = {2004},
number = {1},
pages = {165--186},
issn = {1350-7265},
mrclass = {60H07 (60H15)},
mrnumber = {2044597},
mrreviewer = {Samy Tindel},
doi = {10.3150/bj/1077544607},
url = {https://doi.org/10.3150/bj/1077544607}
}
@Article{ quer-sardanyons.sanz-sole:06:space,
author = {Quer-Sardanyons, Llu\'{i}s and Sanz-Sol\'{e}, Marta},
title = {Space semi-discretisations for a stochastic wave
equation},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {24},
year = {2006},
number = {4},
pages = {303--332},
issn = {0926-2601},
mrclass = {60H35 (60H15)},
mrnumber = {2224753},
mrreviewer = {Roger Pettersson},
doi = {10.1007/s11118-005-9002-0},
url = {https://doi.org/10.1007/s11118-005-9002-0}
}
@Article{ quer-sardanyons.tindel:07:1-d,
author = {Quer-Sardanyons, Llu\'{i}s and Tindel, Samy},
title = {The 1-d stochastic wave equation driven by a fractional
{B}rownian sheet},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {117},
year = {2007},
number = {10},
pages = {1448--1472},
issn = {0304-4149},
mrclass = {60H15 (35L15 35R60 60G15)},
mrnumber = {2353035},
mrreviewer = {No\`elia Viles},
doi = {10.1016/j.spa.2007.01.009},
url = {https://doi.org/10.1016/j.spa.2007.01.009}
}
@Article{ quer-sardanyons.tindel:12:pathwise,
author = {Quer-Sardanyons, Llu\'{i}s and Tindel, Samy},
title = {Pathwise definition of second-order {SDE}s},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {2},
pages = {466--497},
issn = {0304-4149},
mrclass = {60H15 (60G22 60H05 60H07)},
mrnumber = {2868927},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1016/j.spa.2011.08.014},
url = {https://doi.org/10.1016/j.spa.2011.08.014}
}
@InCollection{ quer-sardanyons:13:gaussian,
author = {Quer-Sardanyons, Llu\'{i}s},
title = {Gaussian upper density estimates for spatially homogeneous
{SPDE}s},
booktitle = {Malliavin calculus and stochastic analysis},
series = {Springer Proc. Math. Stat.},
volume = {34},
pages = {299--314},
publisher = {Springer, New York},
year = {2013},
mrclass = {60H07 (60H15)},
mrnumber = {3070449},
doi = {10.1007/978-1-4614-5906-4\_13},
url = {https://doi.org/10.1007/978-1-4614-5906-4_13}
}
@Article{ quiros-gracian.vazquez:95:self-similar,
author = {Quir\'{o}s Graci\'{a}n, Fernando and V\'{a}zquez, Juan L.},
title = {Self-similar turbulent bursts: existence and analytic
dependence},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {8},
year = {1995},
number = {7},
pages = {1677--1708},
issn = {0893-4983},
mrclass = {35K55 (35B30 76F05 76R50)},
mrnumber = {1347975}
}
@Article{ quiros.rossi:01:blow-up,
author = {Quir\'{o}s, Fernando and Rossi, Julio D.},
title = {Blow-up sets and {F}ujita type curves for a degenerate
parabolic system with nonlinear boundary conditions},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {50},
year = {2001},
number = {1},
pages = {629--654},
issn = {0022-2518},
mrclass = {35K50 (35B05 35B40 35K55 35K57 35K65)},
mrnumber = {1857049},
mrreviewer = {Song Mu Zheng},
doi = {10.1512/iumj.2001.50.1828},
url = {https://doi.org/10.1512/iumj.2001.50.1828}
}
@Book{ quittner.souplet:07:superlinear,
author = {Quittner, Pavol and Souplet, Philippe},
title = {Superlinear parabolic problems},
series = {Birkh\"{a}user Advanced Texts: Basler Lehrb\"{u}cher.
[Birkh\"{a}user Advanced Texts: Basel Textbooks]},
note = {Blow-up, global existence and steady states},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {2007},
pages = {xii+584},
isbn = {978-3-7643-8441-8},
mrclass = {35-02 (35K50 35K55)},
mrnumber = {2346798},
mrreviewer = {Vicen\c{t}iu\ D.\ R\u{a}dulescu}
}
@Book{ quittner.souplet:19:superlinear,
author = {Quittner, Pavol and Souplet, Philippe},
title = {Superlinear parabolic problems},
series = {Birkh\"{a}user Advanced Texts: Basler Lehrb\"{u}cher.
[Birkh\"{a}user Advanced Texts: Basel Textbooks]},
note = {Blow-up, global existence and steady states, Second
edition of [ MR2346798]},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2019},
pages = {xvi+725},
isbn = {978-3-030-18220-5; 978-3-030-18222-9},
mrclass = {35-02 (35B44 35J57 35J60 35K51 35K55)},
mrnumber = {3967048},
doi = {10.1007/978-3-030-18222-9},
url = {https://doi.org/10.1007/978-3-030-18222-9}
}
@Article{ radchenko:14:heat,
author = {Radchenko, Vadym},
title = {Heat equation with general stochastic measure colored in
time},
journal = {Mod. Stoch. Theory Appl.},
fjournal = {Modern Stochastics. Theory and Applications},
volume = {1},
year = {2014},
number = {2},
pages = {129--138},
issn = {2351-6046,2351-6054},
mrclass = {60H15 (60G17 60G57)},
mrnumber = {3316482},
mrreviewer = {Le\ Chen},
doi = {10.15559/14-VMSTA14},
url = {https://doi.org/10.15559/14-VMSTA14}
}
@Book{ raiffa:85:art,
author = {Raiffa, Howard},
title = {The Art and Science of Negotiation: How to Resolve
Conflicts and Get the Best Out of Bargaining},
publisher = {Harvard University Press},
address = {Cambridge, MA},
year = {1985},
month = mar,
pages = {384},
isbn = {978-0-674-25566-1},
note = {Ebook edition; originally published 1982}
}
@Article{ rajeev:99:condensation,
title = {A condensation of interacting Bosons in two dimensional
space},
author = {Rajeev, SG},
journal = {arXiv preprint hep-th/9905120},
year = {1999}
}
@Article{ rajput.rosinski:89:spectral,
author = {Rajput, Balram S. and Rosi\'{n}ski, Jan},
title = {Spectral representations of infinitely divisible
processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {82},
year = {1989},
number = {3},
pages = {451--487},
issn = {0178-8051},
mrclass = {60H05 (60E07 60G57 60J30)},
mrnumber = {1001524},
mrreviewer = {John P. Nolan},
doi = {10.1007/BF00339998},
url = {https://doi.org/10.1007/BF00339998}
}
@Article{ rakos.schutz:05:current,
author = {R\'{a}kos, A. and Sch\"{u}tz, G. M.},
title = {Current distribution and random matrix ensembles for an
integrable asymmetric fragmentation process},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {118},
year = {2005},
number = {3-4},
pages = {511--530},
issn = {0022-4715},
mrclass = {82C41 (82C27)},
mrnumber = {2123646},
mrreviewer = {Razvan Teodorescu},
doi = {10.1007/s10955-004-8819-z},
url = {https://doi.org/10.1007/s10955-004-8819-z}
}
@Article{ ramanan.zeitouni:99:quasi-stationary,
author = {Ramanan, Kavita and Zeitouni, Ofer},
title = {The quasi-stationary distribution for small random
perturbations of certain one-dimensional maps},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {84},
year = {1999},
number = {1},
pages = {25--51},
issn = {0304-4149,1879-209X},
mrclass = {60J05 (37D99 37E05 37H99 60H25)},
mrnumber = {1720096},
mrreviewer = {Fima\ Klebaner},
doi = {10.1016/S0304-4149(99)00044-7},
url = {https://doi.org/10.1016/S0304-4149(99)00044-7}
}
@Article{ ramanathan.zeitouni:91:on,
author = {Ramanathan, J. and Zeitouni, O.},
title = {On the wavelet transform of fractional {B}rownian motion},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {37},
year = {1991},
number = {4},
pages = {1156--1158},
issn = {0018-9448,1557-9654},
mrclass = {60J65 (42C99)},
mrnumber = {1111815},
doi = {10.1109/18.87007},
url = {https://doi.org/10.1109/18.87007}
}
@Article{ ramirez.rider.ea:11:beta,
author = {Ram\'{i}rez, Jos\'{e} A. and Rider, Brian and Vir\'{a}g,
B\'{a}lint},
title = {Beta ensembles, stochastic {A}iry spectrum, and a
diffusion},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {24},
year = {2011},
number = {4},
pages = {919--944},
issn = {0894-0347},
mrclass = {60B20 (60F05 60H25)},
mrnumber = {2813333},
mrreviewer = {Guangyu Yang},
doi = {10.1090/S0894-0347-2011-00703-0},
url = {https://doi.org/10.1090/S0894-0347-2011-00703-0}
}
@Article{ ramirez.rider.ea:11:hard,
author = {Ram\'{i}rez, Jos\'{e} A. and Rider, Brian and Zeitouni,
Ofer},
title = {Hard edge tail asymptotics},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {16},
year = {2011},
pages = {741--752},
mrclass = {60B20},
mrnumber = {2861438},
mrreviewer = {Guangyu Yang},
doi = {10.1214/ECP.v16-1682},
url = {https://doi.org/10.1214/ECP.v16-1682}
}
@Article{ ramirez.rider:08:shape,
author = {Ram\'{i}rez, Jos\'{e} A. and Rider, Brian},
title = {Shape of the ground state energy density of {H}ill's
equation with nice {G}aussian potential},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {21},
year = {2008},
number = {2},
pages = {413--430},
issn = {0894-9840},
mrclass = {47B80 (47E05 60G15)},
mrnumber = {2391252},
mrreviewer = {Masahiro Kaminaga},
doi = {10.1007/s10959-007-0105-y},
url = {https://doi.org/10.1007/s10959-007-0105-y}
}
@Article{ ramirez.rider:09:diffusion,
author = {Ram\'{i}rez, Jos\'{e} A. and Rider, Brian},
title = {Diffusion at the random matrix hard edge},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {288},
year = {2009},
number = {3},
pages = {887--906},
issn = {0010-3616},
mrclass = {47B80 (60B20 82B44)},
mrnumber = {2504858},
mrreviewer = {Ionel Popescu},
doi = {10.1007/s00220-008-0712-1},
url = {https://doi.org/10.1007/s00220-008-0712-1}
}
@Article{ ramirez.rider:11:erratum,
author = {Ram\'{i}rez, Jos\'{e} A. and Rider, Brian},
title = {Erratum to: {D}iffusion at the random matrix hard edge
[MR2504858]},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {307},
year = {2011},
number = {2},
pages = {561--563},
issn = {0010-3616},
mrclass = {60B20 (60J60)},
mrnumber = {2837124},
doi = {10.1007/s00220-011-1333-7},
url = {https://doi.org/10.1007/s00220-011-1333-7}
}
@Article{ ramirez.rider:17:spiking,
author = {Ram\'{i}rez, Jos\'{e} A. and Rider, Brian},
title = {Spiking the random matrix hard edge},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {169},
year = {2017},
number = {1-2},
pages = {425--467},
issn = {0178-8051},
mrclass = {60B20 (60F05)},
mrnumber = {3704773},
mrreviewer = {Deli Li},
doi = {10.1007/s00440-016-0733-1},
url = {https://doi.org/10.1007/s00440-016-0733-1}
}
@Article{ ran.zhang:10:existence,
author = {Ran, Qikang and Zhang, Tusheng},
title = {Existence and uniqueness of bounded weak solutions of a
semilinear parabolic {PDE}},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {23},
year = {2010},
number = {4},
pages = {951--971},
issn = {0894-9840},
mrclass = {60H10 (35D30 35K58 60H30)},
mrnumber = {2735732},
mrreviewer = {Rainer Buckdahn},
doi = {10.1007/s10959-009-0252-4},
url = {https://doi.org/10.1007/s10959-009-0252-4}
}
@Book{ rao.bhimasankaram:00:linear,
author = {Rao, A. Ramachandra and Bhimasankaram, P.},
title = {Linear algebra},
series = {Texts and Readings in Mathematics},
volume = {19},
edition = {Second},
publisher = {Hindustan Book Agency, New Delhi},
year = {2000},
pages = {xiv+414},
isbn = {81-85931-26-7},
mrclass = {15-01},
mrnumber = {1781860}
}
@Article{ rao:00:note,
author = {Rao, C. Radhakrishna},
title = {A note on: ``{S}tatistical analysis of shape through
triangulation of landmarks: a study of sexual dimorphism in
hominids'' [{P}roc. {N}atl. {A}cad. {S}ci. {USA} {\bf 95}
(1998), no. 8, 4121--4125; 1762648] by {R}ao and {S}.
{S}uryawanshi},
journal = {Proc. Natl. Acad. Sci. USA},
fjournal = {Proceedings of the National Academy of Sciences of the
United States of America},
volume = {97},
year = {2000},
number = {7},
pages = {2995--2998},
issn = {0027-8424},
mrclass = {62H99 (60D05 62H30)},
mrnumber = {1750740},
doi = {10.1073/pnas.97.7.2995},
url = {https://doi.org/10.1073/pnas.97.7.2995}
}
@Article{ rao:01:correction,
author = {Rao, C. R.},
title = {Correction: ``{A} note on {K}alman filter'' [{P}roc.
{N}atl. {A}cad. {S}ci. {USA} {\bf 98} (2001), no. 19,
10557--10559; 1854547]},
journal = {Proc. Natl. Acad. Sci. USA},
fjournal = {Proceedings of the National Academy of Sciences of the
United States of America},
volume = {98},
year = {2001},
number = {20},
pages = {11836a},
issn = {0027-8424},
mrclass = {93E11 (62M10)},
mrnumber = {1853210},
doi = {10.1073/pnas.98.20.11836/a},
url = {https://doi.org/10.1073/pnas.98.20.11836/a}
}
@Article{ rascle.ziti:95:finite,
author = {Rascle, M. and Ziti, C.},
title = {Finite time blow-up in some models of chemotaxis},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {33},
year = {1995},
number = {4},
pages = {388--414},
issn = {0303-6812},
mrclass = {92C40 (35Q80 92D25)},
mrnumber = {1320430},
mrreviewer = {Hal Leslie Smith},
doi = {10.1007/BF00176379},
url = {https://doi.org/10.1007/BF00176379}
}
@Article{ rassoul-agha.seppalainen.ea:13:quenched,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo and
Yilmaz, Atilla},
title = {Quenched free energy and large deviations for random walks
in random potentials},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {66},
year = {2013},
number = {2},
pages = {202--244},
issn = {0010-3640},
mrclass = {60K37 (60F10 82B41)},
mrnumber = {2999296},
mrreviewer = {Dimitris Cheliotis},
doi = {10.1002/cpa.21417},
url = {https://doi.org/10.1002/cpa.21417}
}
@Article{ rassoul-agha.seppalainen.ea:17:averaged,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo and
Yilmaz, Atilla},
title = {Averaged vs. quenched large deviations and entropy for
random walk in a dynamic random environment},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 57, 47},
mrclass = {60K37 (60F10 82C41 82C44)},
mrnumber = {3672833},
mrreviewer = {Francis Comets},
doi = {10.1214/17-EJP74},
url = {https://doi.org/10.1214/17-EJP74}
}
@Article{ rassoul-agha.seppalainen.ea:17:variational,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo and
Yilmaz, Atilla},
title = {Variational formulas and disorder regimes of random walks
in random potentials},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {23},
year = {2017},
number = {1},
pages = {405--431},
issn = {1350-7265},
mrclass = {60K37 (60F10 60G50 82B41)},
mrnumber = {3556777},
mrreviewer = {Francis Comets},
doi = {10.3150/15-BEJ747},
url = {https://doi.org/10.3150/15-BEJ747}
}
@Article{ rassoul-agha.seppalainen:05:almost,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo},
title = {An almost sure invariance principle for random walks in a
space-time random environment},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {133},
year = {2005},
number = {3},
pages = {299--314},
issn = {0178-8051},
mrclass = {60F17 (60K37)},
mrnumber = {2198014},
mrreviewer = {Wenming Hong},
doi = {10.1007/s00440-004-0424-1},
url = {https://doi.org/10.1007/s00440-004-0424-1}
}
@Article{ rassoul-agha.seppalainen:06:ballistic,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo},
title = {Ballistic random walk in a random environment with a
forbidden direction},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {1},
year = {2006},
pages = {111--147},
mrclass = {60K37 (60F17 60G50)},
mrnumber = {2235176},
mrreviewer = {Julien Br\'{e}mont}
}
@Article{ rassoul-agha.seppalainen:07:quenched,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo},
title = {Quenched invariance principle for multidimensional
ballistic random walk in a random environment with a
forbidden direction},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {1},
pages = {1--31},
issn = {0091-1798},
mrclass = {60K37 (60F17)},
mrnumber = {2303942},
mrreviewer = {Jean B\'{e}rard},
doi = {10.1214/009117906000000610},
url = {https://doi.org/10.1214/009117906000000610}
}
@Article{ rassoul-agha.seppalainen:08:almost,
author = {Rassoul-Agha, F. and Sepp\"{a}l\"{a}inen, T.},
title = {An almost sure invariance principle for additive
functionals of {M}arkov chains},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {78},
year = {2008},
number = {7},
pages = {854--860},
issn = {0167-7152},
mrclass = {60F17 (60J05)},
mrnumber = {2398359},
mrreviewer = {M. Iosifescu},
doi = {10.1016/j.spl.2007.09.011},
url = {https://doi.org/10.1016/j.spl.2007.09.011}
}
@Article{ rassoul-agha.seppalainen:09:almost,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo},
title = {Almost sure functional central limit theorem for ballistic
random walk in random environment},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {45},
year = {2009},
number = {2},
pages = {373--420},
issn = {0246-0203},
mrclass = {60K37 (60F05 60F17)},
mrnumber = {2521407},
mrreviewer = {Jonathon R. Peterson},
doi = {10.1214/08-AIHP167},
url = {https://doi.org/10.1214/08-AIHP167}
}
@Article{ rassoul-agha.seppalainen:11:process-level,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo},
title = {Process-level quenched large deviations for random walk in
random environment},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {47},
year = {2011},
number = {1},
pages = {214--242},
issn = {0246-0203},
mrclass = {60K37 (60F10 60G50)},
mrnumber = {2779403},
mrreviewer = {Jean B\'{e}rard},
doi = {10.1214/10-AIHP369},
url = {https://doi.org/10.1214/10-AIHP369}
}
@Article{ rassoul-agha.seppalainen:14:quenched,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo},
title = {Quenched point-to-point free energy for random walks in
random potentials},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {158},
year = {2014},
number = {3-4},
pages = {711--750},
issn = {0178-8051},
mrclass = {60K37 (60F10 60K35 82B41 82D60)},
mrnumber = {3176363},
mrreviewer = {Dmitri L. Finkelshtein},
doi = {10.1007/s00440-013-0494-z},
url = {https://doi.org/10.1007/s00440-013-0494-z}
}
@Book{ rassoul-agha.seppalainen:15:course,
author = {Rassoul-Agha, Firas and Sepp\"{a}l\"{a}inen, Timo},
title = {A course on large deviations with an introduction to
{G}ibbs measures},
series = {Graduate Studies in Mathematics},
volume = {162},
publisher = {American Mathematical Society, Providence, RI},
year = {2015},
pages = {xiv+318},
isbn = {978-0-8218-7578-0},
mrclass = {60-01 (60F10 60J10 60K35 60K37 82B20)},
mrnumber = {3309619},
mrreviewer = {Jean-Ren\'{e} Chazottes},
doi = {10.1090/gsm/162},
url = {https://doi.org/10.1090/gsm/162}
}
@Article{ rawal.shen.ea:15:spreading,
author = {Rawal, Nar and Shen, Wenxian and Zhang, Aijun},
title = {Spreading speeds and traveling waves of nonlocal
monostable equations in time and space periodic habitats},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {35},
year = {2015},
number = {4},
pages = {1609--1640},
issn = {1078-0947,1553-5231},
mrclass = {45K05 (35R09 47G20 92D25)},
mrnumber = {3285840},
mrreviewer = {Joseph\ L.\ Shomberg},
doi = {10.3934/dcds.2015.35.1609},
url = {https://doi.org/10.3934/dcds.2015.35.1609}
}
@Article{ rawal.shen:12:criteria,
author = {Rawal, Nar and Shen, Wenxian},
title = {Criteria for the existence and lower bounds of principal
eigenvalues of time periodic nonlocal dispersal operators
and applications},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {24},
year = {2012},
number = {4},
pages = {927--954},
issn = {1040-7294,1572-9222},
mrclass = {35K57 (35B10 35P15 45C05 92D25)},
mrnumber = {3000610},
mrreviewer = {Rui\ Peng},
doi = {10.1007/s10884-012-9276-z},
url = {https://doi.org/10.1007/s10884-012-9276-z}
}
@Article{ reade:51:characterization,
author = {Reade, Maxwell O.},
title = {A characterization of minimal surfaces in isothermic
representation},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {2},
year = {1951},
pages = {47--54},
issn = {0002-9939},
mrclass = {53.0X},
mrnumber = {40747},
mrreviewer = {E. F. Beckenbach},
doi = {10.2307/2032620},
url = {https://doi.org/10.2307/2032620}
}
@Book{ reed.simon:72:methods,
author = {Reed, Michael and Simon, Barry},
title = {Methods of modern mathematical physics. {I}. {F}unctional
analysis},
publisher = {Academic Press, New York-London},
year = {1972},
pages = {xvii+325},
mrclass = {47-02 (81.47)},
mrnumber = {493419},
mrreviewer = {P. R. Chernoff}
}
@Book{ reed.simon:72:methods*1,
author = {Reed, Michael and Simon, Barry},
title = {Methods of modern mathematical physics. {I}. {F}unctional
analysis},
publisher = {Academic Press, New York-London},
year = {1972},
pages = {xvii+325},
mrclass = {47-02 (81.47)},
mrnumber = {493419},
mrreviewer = {P.\ R.\ Chernoff}
}
@Book{ reed.simon:75:methods,
author = {Reed, Michael and Simon, Barry},
title = {Methods of modern mathematical physics. {II}. {F}ourier
analysis, self-adjointness},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
New York-London},
year = {1975},
pages = {xv+361},
mrclass = {47-02 (81.47)},
mrnumber = {0493420},
mrreviewer = {P. R. Chernoff}
}
@Book{ reed.simon:78:methods,
author = {Reed, Michael and Simon, Barry},
title = {Methods of modern mathematical physics. {IV}. {A}nalysis
of operators},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
New York-London},
year = {1978},
pages = {xv+396},
isbn = {0-12-585004-2},
mrclass = {47-02 (81.47)},
mrnumber = {0493421},
mrreviewer = {P. R. Chernoff}
}
@Book{ reed.simon:79:methods,
author = {Reed, Michael and Simon, Barry},
title = {Methods of modern mathematical physics. {III}},
note = {Scattering theory},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
New York-London},
year = {1979},
pages = {xv+463},
isbn = {0-12-585003-4},
mrclass = {81F99},
mrnumber = {529429},
mrreviewer = {P. R. Chernoff}
}
@Book{ reed.simon:80:methods,
author = {Reed, Michael and Simon, Barry},
title = {Methods of modern mathematical physics. {I}},
edition = {Second},
note = {Functional analysis},
publisher = {Academic Press, Inc. [Harcourt Brace Jovanovich,
Publishers], New York},
year = {1980},
pages = {xv+400},
isbn = {0-12-585050-6},
mrclass = {46-01 (47-01)},
mrnumber = {751959}
}
@InProceedings{ reeds:79:cracking,
author = {Reeds, James},
title = {Cracking a multiplicative congruential encryption
algorithm},
booktitle = {Information linkage between applied mathematics and
industry ({P}roc. {F}irst {A}nnual {W}orkshop, {N}aval
{P}ostgraduate {S}chool, {M}onterey, {C}alif., 1978)},
pages = {467--472},
publisher = {Academic Press, New York-London},
year = {1979},
mrclass = {94B99 (65C10)},
mrnumber = {541598}
}
@Article{ regner.vucinic.ea:13:anomalous,
title = {Anomalous Diffusion of Single Particles in Cytoplasm},
journal = {Biophysical Journal},
volume = {104},
number = {8},
pages = {1652--1660},
year = {2013},
issn = {0006-3495},
doi = {https://doi.org/10.1016/j.bpj.2013.01.049},
url = {https://www.sciencedirect.com/science/article/pii/S0006349513001823},
author = {Benjamin~M. Regner and Dejan Vu\v{c}ini\'{c} and Cristina
Domnisoru and Thomas~M. Bartol and Martin~W. Hetzer and
Daniel~M. Tartakovsky and Terrence~J. Sejnowski}
}
@Book{ reid:71:ordinary,
author = {Reid, William T.},
title = {Ordinary differential equations},
publisher = {John Wiley \& Sons, Inc., New York-London-Sydney},
year = {1971},
pages = {xv+553},
mrclass = {34.00},
mrnumber = {273082},
mrreviewer = {E. O. Roxin}
}
@Book{ reid:72:riccati,
author = {Reid, William T.},
title = {Riccati differential equations},
series = {Mathematics in Science and Engineering, Vol. 86},
publisher = {Academic Press, New York-London},
year = {1972},
pages = {x+216},
mrclass = {34A25 (34C99)},
mrnumber = {357936},
mrreviewer = {G. J. Etgen}
}
@Article{ reimers:89:one-dimensional,
author = {Reimers, Mark},
title = {One-dimensional stochastic partial differential equations
and the branching measure diffusion},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {81},
year = {1989},
number = {3},
pages = {319--340},
issn = {0178-8051},
mrclass = {60H15 (03H05 35R60)},
mrnumber = {983088},
doi = {10.1007/BF00340057},
url = {https://doi.org/10.1007/BF00340057}
}
@InCollection{ reinert:05:three,
author = {Reinert, Gesine},
title = {Three general approaches to {S}tein's method},
booktitle = {An introduction to {S}tein's method},
series = {Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap.},
volume = {4},
pages = {183--221},
publisher = {Singapore Univ. Press, Singapore},
year = {2005},
mrclass = {62E17 (60F05 62P10)},
mrnumber = {2235451},
doi = {10.1142/9789812567680\_0004},
url = {https://doi.org/10.1142/9789812567680_0004}
}
@InCollection{ reinhardt.walker:10:jacobian,
author = {Reinhardt, W. P. and Walker, P. L.},
title = {Jacobian elliptic functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {549--568},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33E05},
mrnumber = {2655362}
}
@InCollection{ reinhardt.walker:10:theta,
author = {Reinhardt, W. P. and Walker, P. L.},
title = {Theta functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {523--535},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33D15},
mrnumber = {2655360}
}
@InCollection{ reinhardt.walker:10:weierstrass,
author = {Reinhardt, W. P. and Walker, P. L.},
title = {Weierstrass elliptic and modular functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {569--585},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33E05 (11F03)},
mrnumber = {2655363}
}
@Article{ remillard:94:on,
author = {R\'{e}millard, Bruno},
title = {On {C}hung's law of the iterated logarithm for some
stochastic integrals},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {4},
pages = {1794--1802},
issn = {0091-1798},
mrclass = {60F15 (60H05)},
mrnumber = {1331204},
mrreviewer = {Thomas Mikosch},
url = {http://links.jstor.org/sici?sici=0091-1798(199410)22:4<1794:OCLOTI>2.0.CO;2-8&origin=MSN}
}
@Article{ rempa-a.zabczyk:88:on,
author = {Rempa\l a, R. and Zabczyk, J.},
title = {On the maximum principle for deterministic impulse control
problems},
journal = {J. Optim. Theory Appl.},
fjournal = {Journal of Optimization Theory and Applications},
volume = {59},
year = {1988},
number = {2},
pages = {281--288},
issn = {0022-3239},
mrclass = {49B10 (49B34 93C57)},
mrnumber = {974034},
mrreviewer = {T. R. Gichev},
doi = {10.1007/BF00938313},
url = {https://doi.org/10.1007/BF00938313}
}
@Article{ ren.liang:01:on,
author = {Ren, Yao-Feng and Liang, Han-Ying},
title = {On the best constant in {M}arcinkiewicz-{Z}ygmund
inequality},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {53},
year = {2001},
number = {3},
pages = {227--233},
issn = {0167-7152},
mrclass = {60E15},
mrnumber = {1841623},
doi = {10.1016/S0167-7152(01)00015-3},
url = {https://doi.org/10.1016/S0167-7152(01)00015-3}
}
@Article{ ren.tang.ea:24:distribution-path,
author = {Ren, Panpan and Tang, Hao and Wang, Feng-Yu},
title = {Distribution-path dependent nonlinear {SPDE}s with
application to stochastic transport type equations},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {61},
year = {2024},
number = {2},
pages = {379--407},
issn = {0926-2601},
mrclass = {60H15 (35Q35 35R60 60H30)},
mrnumber = {4779598},
mrreviewer = {Peter E. Kloeden},
doi = {10.1007/s11118-023-10113-5},
url = {https://doi.org/10.1007/s11118-023-10113-5}
}
@Article{ ren.zhang:05:freidlin-wentzells,
author = {Ren, Jiagang and Zhang, Xicheng},
title = {Freidlin-{W}entzell's large deviations for homeomorphism
flows of non-{L}ipschitz {SDE}s},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {129},
year = {2005},
number = {8},
pages = {643--655},
issn = {0007-4497},
mrclass = {60H10 (60F10)},
mrnumber = {2166732},
mrreviewer = {Samuel Herrmann},
doi = {10.1016/j.bulsci.2004.12.005},
url = {https://doi.org/10.1016/j.bulsci.2004.12.005}
}
@Article{ ren.zhang:05:schilder,
author = {Ren, Jiangang and Zhang, Xicheng},
title = {Schilder theorem for the {B}rownian motion on the
diffeomorphism group of the circle},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {224},
year = {2005},
number = {1},
pages = {107--133},
issn = {0022-1236},
mrclass = {60F10 (60H10)},
mrnumber = {2139106},
mrreviewer = {Zhongmin Qian},
doi = {10.1016/j.jfa.2004.08.006},
url = {https://doi.org/10.1016/j.jfa.2004.08.006}
}
@Article{ ren.zhang:08:freidlin-wentzells,
author = {Ren, Jiagang and Zhang, Xicheng},
title = {Freidlin-{W}entzell's large deviations for stochastic
evolution equations},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {254},
year = {2008},
number = {12},
pages = {3148--3172},
issn = {0022-1236},
mrclass = {60F10 (35R60 37L55 60H10 60H15)},
mrnumber = {2418622},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1016/j.jfa.2008.02.010},
url = {https://doi.org/10.1016/j.jfa.2008.02.010}
}
@Article{ renesse.sturm:05:transport,
author = {von Renesse, Max-K. and Sturm, Karl-Theodor},
title = {Transport inequalities, gradient estimates, entropy, and
{R}icci curvature},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {58},
year = {2005},
number = {7},
pages = {923--940},
issn = {0010-3640},
mrclass = {53C21 (35K05 58J35 58J65 60J65)},
mrnumber = {2142879},
mrreviewer = {C\'{e}dric Villani},
doi = {10.1002/cpa.20060},
url = {https://doi.org/10.1002/cpa.20060}
}
@Article{ renesse.yor.ea:08:quasi-invariance,
author = {von Renesse, Max-K. and Yor, Marc and Zambotti, Lorenzo},
title = {Quasi-invariance properties of a class of subordinators},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {118},
year = {2008},
number = {11},
pages = {2038--2057},
issn = {0304-4149,1879-209X},
mrclass = {60G51 (60G30 60G44)},
mrnumber = {2462287},
mrreviewer = {Robert\ Stelzer},
doi = {10.1016/j.spa.2007.11.008},
url = {https://doi.org/10.1016/j.spa.2007.11.008}
}
@Book{ resnick:87:extreme,
author = {Resnick, Sidney I.},
title = {Extreme values, regular variation, and point processes},
series = {Applied Probability. A Series of the Applied Probability
Trust},
volume = {4},
publisher = {Springer-Verlag, New York},
year = {1987},
pages = {xii+320},
isbn = {0-387-96481-9},
mrclass = {60K99 (60G55)},
mrnumber = {900810},
mrreviewer = {Charles M. Goldie},
doi = {10.1007/978-0-387-75953-1},
url = {https://doi.org/10.1007/978-0-387-75953-1}
}
@Book{ resnick:92:adventures,
author = {Resnick, Sidney},
title = {Adventures in stochastic processes},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {1992},
pages = {xii+626},
isbn = {0-8176-3591-2},
mrclass = {60-01 (60J10 60J27 60K05)},
mrnumber = {1181423},
mrreviewer = {Richard F. Serfozo}
}
@Book{ resnick:95:dynamical,
author = {Resnick, Serge G.},
title = {Dynamical problems in non-linear advective partial
differential equations},
note = {Thesis (Ph.D.)--The University of Chicago},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1995},
pages = {76},
mrclass = {Thesis},
mrnumber = {2716577},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9542767}
}
@Article{ reveillac.stauch.ea:12:hermite,
author = {R\'eveillac, Anthony and Stauch, Michael and Tudor,
Ciprian A.},
title = {Hermite variations of the fractional {B}rownian sheet},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {12},
year = {2012},
number = {3},
pages = {1150021, 21},
issn = {0219-4937,1793-6799},
mrclass = {60F05 (60G22 60G60 60H07)},
mrnumber = {2926578},
mrreviewer = {Jean\ Picard},
doi = {10.1142/S0219493711500213},
url = {https://doi.org/10.1142/S0219493711500213}
}
@Book{ revuz.yor:91:continuous,
author = {Revuz, Daniel and Yor, Marc},
title = {Continuous martingales and {B}rownian motion},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {293},
publisher = {Springer-Verlag, Berlin},
year = {1991},
pages = {x+533},
isbn = {3-540-52167-4},
mrclass = {60G48 (60G44 60H05 60H10)},
mrnumber = {1083357},
mrreviewer = {F. B. Knight},
doi = {10.1007/978-3-662-21726-9},
url = {https://doi.org/10.1007/978-3-662-21726-9}
}
@Book{ revuz.yor:94:continuous,
author = {Revuz, Daniel and Yor, Marc},
title = {Continuous martingales and {B}rownian motion},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {293},
edition = {Second},
publisher = {Springer-Verlag, Berlin},
year = {1994},
pages = {xii+560},
isbn = {3-540-57622-3},
mrclass = {60G44 (60G07 60H05)},
mrnumber = {1303781}
}
@Book{ revuz.yor:99:continuous,
author = {Revuz, Daniel and Yor, Marc},
title = {Continuous martingales and {B}rownian motion},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {293},
edition = {Third},
publisher = {Springer-Verlag, Berlin},
year = {1999},
pages = {xiv+602},
isbn = {3-540-64325-7},
mrclass = {60G44 (60G07 60H05)},
mrnumber = {1725357},
doi = {10.1007/978-3-662-06400-9},
url = {https://doi.org/10.1007/978-3-662-06400-9}
}
@Article{ rezakhanlou:91:hydrodynamic,
author = {Rezakhanlou, Fraydoun},
title = {Hydrodynamic limit for attractive particle systems on
{${\bf Z}^d$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {140},
year = {1991},
number = {3},
pages = {417--448},
issn = {0010-3616},
mrclass = {82C22 (60K35)},
mrnumber = {1130693},
url = {http://projecteuclid.org/euclid.cmp/1104248092}
}
@Article{ rhodes.sohier.ea:14:levy,
author = {Rhodes, R\'{e}mi and Sohier, Julien and Vargas, Vincent},
title = {Levy multiplicative chaos and star scale invariant random
measures},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {42},
year = {2014},
number = {2},
pages = {689--724},
issn = {0091-1798},
mrclass = {60G57 (60G15 60G18 60G51)},
mrnumber = {3178471},
mrreviewer = {Narn-Rueih Shieh},
doi = {10.1214/12-AOP810},
url = {https://doi.org/10.1214/12-AOP810}
}
@Article{ rhodes.vargas:09:scaling,
author = {Rhodes, R\'emi and Vargas, Vincent},
title = {Scaling limits for symmetric {I}t\^o-{L}\'evy processes in
random medium},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {12},
pages = {4004--4033},
issn = {0304-4149,1879-209X},
mrclass = {60F17 (28D05 35R60 60G51)},
mrnumber = {2565557},
doi = {10.1016/j.spa.2009.10.004},
url = {https://doi.org/10.1016/j.spa.2009.10.004}
}
@Article{ rhodes.vargas:10:multidimensional,
author = {Rhodes, R\'{e}mi and Vargas, Vincent},
title = {Multidimensional multifractal random measures},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {15},
year = {2010},
pages = {no. 9, 241--258},
mrclass = {60G57 (28A78 28A80)},
mrnumber = {2609587},
mrreviewer = {David A. Croydon},
doi = {10.1214/EJP.v15-746},
url = {https://doi.org/10.1214/EJP.v15-746}
}
@Article{ rhodes.vargas:11:kpz,
author = {Rhodes, R\'{e}mi and Vargas, Vincent},
title = {K{PZ} formula for log-infinitely divisible multifractal
random measures},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {15},
year = {2011},
pages = {358--371},
issn = {1292-8100},
mrclass = {60G57 (28A78 28A80 60E07)},
mrnumber = {2870520},
mrreviewer = {Makoto Yamazato},
doi = {10.1051/ps/2010007},
url = {https://doi.org/10.1051/ps/2010007}
}
@Article{ rhodes.vargas:13:optimal,
author = {Rhodes, R\'emi and Vargas, Vincent},
title = {Optimal transportation for multifractal random measures
and applications},
journal = {Ann. Inst. Henri Poincar\'e{} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'e{} Probabilit\'es et
Statistiques},
volume = {49},
year = {2013},
number = {1},
pages = {119--137},
issn = {0246-0203,1778-7017},
mrclass = {60G57 (28A80 49Q20)},
mrnumber = {3060150},
doi = {10.1214/11-AIHP443},
url = {https://doi.org/10.1214/11-AIHP443}
}
@Article{ rhodes.vargas:14:gaussian,
author = {Rhodes, R\'emi and Vargas, Vincent},
title = {Gaussian multiplicative chaos and applications: a review},
journal = {Probab. Surv.},
fjournal = {Probability Surveys},
volume = {11},
year = {2014},
pages = {315--392},
issn = {1549-5787},
mrclass = {60G57 (28A80 60G15 60G60)},
mrnumber = {3274356},
mrreviewer = {Dora\ Sele\v si},
doi = {10.1214/13-PS218},
url = {https://doi.org/10.1214/13-PS218}
}
@Article{ rhodes.vargas:14:spectral,
author = {Rhodes, R\'emi and Vargas, Vincent},
title = {Spectral dimension of {L}iouville quantum gravity},
journal = {Ann. Henri Poincar\'e},
fjournal = {Annales Henri Poincar\'e. A Journal of Theoretical and
Mathematical Physics},
volume = {15},
year = {2014},
number = {12},
pages = {2281--2298},
issn = {1424-0637,1424-0661},
mrclass = {81T20 (83C45 83E30)},
mrnumber = {3272822},
doi = {10.1007/s00023-013-0308-y},
url = {https://doi.org/10.1007/s00023-013-0308-y}
}
@Article{ rhodes.vargas:15:liouville,
author = {Rhodes, R\'emi and Vargas, Vincent},
title = {Liouville {B}rownian motion at criticality},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {43},
year = {2015},
number = {2},
pages = {149--197},
issn = {0926-2601,1572-929X},
mrclass = {60J65 (60J55 60J60 60J70 60J80 60K40 81T40)},
mrnumber = {3374108},
doi = {10.1007/s11118-015-9467-4},
url = {https://doi.org/10.1007/s11118-015-9467-4}
}
@Article{ rhodes.vargas:16:lecture,
title = {Lecture notes on Gaussian multiplicative chaos and
Liouville Quantum Gravity},
author = {R\'emi Rhodes and Vincent vargas},
year = {2016},
month = {February},
journal = {Preprint arXiv:1602.07323},
url = {https://www.arxiv.org/abs/1602.07323}
}
@InCollection{ rhodes.vargas:17:gaussian,
author = {Rhodes, R\'emi and Vargas, Vincent},
title = {Gaussian multiplicative chaos and {L}iouville quantum
gravity},
booktitle = {Stochastic processes and random matrices},
pages = {548--577},
publisher = {Oxford Univ. Press, Oxford},
year = {2017},
isbn = {978-0-19-879731-9},
mrclass = {60G15 (81T20)},
mrnumber = {3728724},
mrreviewer = {Nizar\ Demni}
}
@Article{ rhodes.vargas:19:tail,
author = {Rhodes, R\'emi and Vargas, Vincent},
title = {The tail expansion of {G}aussian multiplicative chaos and
the {L}iouville reflection coefficient},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {47},
year = {2019},
number = {5},
pages = {3082--3107},
issn = {0091-1798,2168-894X},
mrclass = {60G57 (60G15)},
mrnumber = {4021245},
doi = {10.1214/18-AOP1333},
url = {https://doi.org/10.1214/18-AOP1333}
}
@Article{ rhodes.vargas:22:approche,
author = {Rhodes, R. and Vargas, V.},
title = {Une approche probabiliste de la th\'eorie conforme des
champs de {L}iouville},
journal = {Gaz. Math.},
fjournal = {Gazette des Math\'ematiciens},
number = {171},
year = {2022},
pages = {27--39},
issn = {0224-8999,2275-0622},
mrclass = {81T40 (53Z05 83C45 83C80)},
mrnumber = {4648255}
}
@InCollection{ rhodes.vargas:23:lecture,
author = {Rhodes, R\'emi and Vargas, Vincent},
title = {Lecture notes on {L}iouville theory and the {DOZZ}
formula},
booktitle = {Topics in statistical mechanics},
series = {Panor. Synth\`eses},
volume = {59},
pages = {185--229},
publisher = {Soc. Math. France, Paris},
year = {2023},
isbn = {978-2-85629-970-8},
mrclass = {81T40 (81T20)},
mrnumber = {4619314}
}
@Article{ riahi:13:estimates,
author = {Riahi, Lotfi},
title = {Estimates for {D}irichlet heat kernels, intrinsic
ultracontractivity and expected exit time on {L}ipschitz
domains},
journal = {Commun. Math. Anal.},
fjournal = {Communications in Mathematical Analysis},
volume = {15},
year = {2013},
number = {1},
pages = {115--130},
mrclass = {35J15 (31B25 35B45 35K08)},
mrnumber = {3082267}
}
@Article{ rice:67:nonlinear,
author = {Rice, John R.},
title = {Nonlinear approximation. {II}. {C}urvature in {M}inkowski
geometry and local uniqueness},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {128},
year = {1967},
pages = {437--459},
issn = {0002-9947},
mrclass = {41.60},
mrnumber = {226278},
mrreviewer = {Ivan Singer},
doi = {10.2307/1994467},
url = {https://doi.org/10.2307/1994467}
}
@InCollection{ richards:10:functions,
author = {Richards, D. St. P.},
title = {Functions of matrix argument},
booktitle = {N{IST} handbook of mathematical functions},
pages = {767--774},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C70},
mrnumber = {2655375}
}
@Article{ richardson:26:atmospheric,
title = {Atmospheric diffusion shown on a distance-neighbour
graph},
author = {Richardson, Lewis Fry},
journal = {Proceedings of the Royal Society of London. Series A,
Containing Papers of a Mathematical and Physical
Character},
volume = {110},
number = {756},
pages = {709--737},
year = {1926},
publisher = {The Royal Society London}
}
@Article{ richardson:73:random,
author = {Richardson, Daniel},
title = {Random growth in a tessellation},
journal = {Proc. Cambridge Philos. Soc.},
fjournal = {Proceedings of the Cambridge Philosophical Society},
volume = {74},
year = {1973},
pages = {515--528},
issn = {0008-1981},
mrclass = {60K99 (92A05)},
mrnumber = {329079},
mrreviewer = {R. Fischler},
doi = {10.1017/s0305004100077288},
url = {https://doi.org/10.1017/s0305004100077288}
}
@Article{ richey.tracy:86:zn,
author = {Richey, Matthew P. and Tracy, Craig A.},
title = {{$Z_n$} {B}axter model: symmetries and the {B}elavin
parametrization},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {42},
year = {1986},
number = {3-4},
pages = {311--348},
issn = {0022-4715},
mrclass = {82A67 (82A68)},
mrnumber = {833020},
mrreviewer = {George E. Andrews},
doi = {10.1007/BF01127715},
url = {https://doi.org/10.1007/BF01127715}
}
@Article{ richey.tracy:87:equation,
author = {Richey, Matthew P. and Tracy, Craig A.},
title = {Equation of state and isothermal compressibility for the
hard hexagon model in the disordered regime},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {20},
year = {1987},
number = {16},
pages = {L1121--L1126},
issn = {0305-4470},
mrclass = {82A68 (82A69)},
mrnumber = {924716},
url = {http://stacks.iop.org/0305-4470/20/L1121}
}
@Article{ richey.tracy:87:symmetry,
author = {Richey, Matthew P. and Tracy, Craig A.},
title = {Symmetry group for a completely symmetric vertex model},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {20},
year = {1987},
number = {10},
pages = {2667--2677},
issn = {0305-4470},
mrclass = {82A68 (11F46 82A69)},
mrnumber = {898970},
mrreviewer = {H. N. V. Temperley},
url = {http://stacks.iop.org/0305-4470/20/2667}
}
@Article{ richey.tracy:90:algorithms,
author = {Richey, Matthew P. and Tracy, Craig A.},
title = {Algorithms for the computation of polynomial relationships
for the hard hexagon model},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {330},
year = {1990},
number = {2-3},
pages = {681--704},
issn = {0550-3213},
mrclass = {82B23 (11F11 82B20)},
mrnumber = {1043397},
mrreviewer = {Peter J. Forrester},
doi = {10.1016/0550-3213(90)90127-Y},
url = {https://doi.org/10.1016/0550-3213(90)90127-Y}
}
@Article{ rider.silverstein:06:gaussian,
author = {Rider, B. and Silverstein, Jack W.},
title = {Gaussian fluctuations for non-{H}ermitian random matrix
ensembles},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {34},
year = {2006},
number = {6},
pages = {2118--2143},
issn = {0091-1798},
mrclass = {60F05},
mrnumber = {2294978},
mrreviewer = {Razvan Teodorescu},
doi = {10.1214/009117906000000403},
url = {https://doi.org/10.1214/009117906000000403}
}
@Article{ rider.sinclair.ea:13:solvable,
author = {Rider, Brian and Sinclair, Christopher D. and Xu, Yuan},
title = {A solvable mixed charge ensemble on the line: global
results},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {155},
year = {2013},
number = {1-2},
pages = {127--164},
issn = {0178-8051},
mrclass = {60B20 (60G55 82B05)},
mrnumber = {3010395},
doi = {10.1007/s00440-011-0394-z},
url = {https://doi.org/10.1007/s00440-011-0394-z}
}
@Article{ rider.sinclair:14:extremal,
author = {Rider, Brian and Sinclair, Christopher D.},
title = {Extremal laws for the real {G}inibre ensemble},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {24},
year = {2014},
number = {4},
pages = {1621--1651},
issn = {1050-5164},
mrclass = {60B20 (60G25 60G70)},
mrnumber = {3211006},
mrreviewer = {Anna Lytova},
doi = {10.1214/13-AAP958},
url = {https://doi.org/10.1214/13-AAP958}
}
@Article{ rider.valko:16:matrix,
author = {Rider, B. and Valk\'{o}, B.},
title = {Matrix {D}ufresne identities},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2016},
number = {1},
pages = {174--218},
issn = {1073-7928},
mrclass = {60J60 (60B20)},
mrnumber = {3514061},
mrreviewer = {Longmin Wang},
doi = {10.1093/imrn/rnv127},
url = {https://doi.org/10.1093/imrn/rnv127}
}
@Article{ rider.virag:07:complex,
author = {Rider, Brian and Vir\'{a}g, B\'{a}lint},
title = {Complex determinantal processes and {$H^1$} noise},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {12},
year = {2007},
pages = {no. 45, 1238--1257},
issn = {1083-6489},
mrclass = {60G55 (60D05 60F05 60G15)},
mrnumber = {2346510},
mrreviewer = {Lutz Peter Klotz},
doi = {10.1214/EJP.v12-446},
url = {https://doi.org/10.1214/EJP.v12-446}
}
@Article{ rider.virag:07:noise,
author = {Rider, Brian and Vir\'{a}g, B\'{a}lint},
title = {The noise in the circular law and the {G}aussian free
field},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2007},
number = {2},
pages = {Art. ID rnm006, 33},
issn = {1073-7928},
mrclass = {60F05 (82B05)},
mrnumber = {2361453},
mrreviewer = {Peter Eichelsbacher},
doi = {10.1093/imrn/rnm006},
url = {https://doi.org/10.1093/imrn/rnm006}
}
@Article{ rider.waters:19:universality,
author = {Rider, Brian and Waters, Patrick},
title = {Universality of the stochastic {B}essel operator},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {175},
year = {2019},
number = {1-2},
pages = {97--140},
issn = {0178-8051},
mrclass = {60F05 (60B20 60H25)},
mrnumber = {4009706},
mrreviewer = {Jan Nagel},
doi = {10.1007/s00440-018-0888-z},
url = {https://doi.org/10.1007/s00440-018-0888-z}
}
@Article{ rider.zhou:08:janossy,
author = {Rider, Brian and Zhou, Xin},
title = {Janossy densities for unitary ensembles at the spectral
edge},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2008},
number = {13},
pages = {Art. ID rnn037, 51},
issn = {1073-7928},
mrclass = {15A52 (30E20 42C05 82B44)},
mrnumber = {2436558},
mrreviewer = {Steven Joel Miller},
doi = {10.1093/imrn/rnn037},
url = {https://doi.org/10.1093/imrn/rnn037}
}
@Book{ rider:00:on,
author = {Rider, Brian Charles},
title = {On the thermodynamic limit of focussing cubic
{S}chroedinger},
note = {Thesis (Ph.D.)--New York University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2000},
pages = {133},
isbn = {978-0599-91687-6},
mrclass = {Thesis},
mrnumber = {2701280},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9985274}
}
@Article{ rider:02:brownian,
author = {Rider, B.},
title = {Brownian motion with restoring drift: micro-canonical
ensemble and the thermodynamic limit},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {231},
year = {2002},
number = {3},
pages = {463--480},
issn = {0010-3616},
mrclass = {82B31 (60F10 60J60 60J65 60K35 82B41)},
mrnumber = {1946446},
mrreviewer = {Kiyomasa Narita},
doi = {10.1007/s00220-002-0720-5},
url = {https://doi.org/10.1007/s00220-002-0720-5}
}
@Article{ rider:02:on,
author = {Rider, Brian C.},
title = {On the {$\infty$}-volume limit of the focusing cubic
{S}chr\"{o}dinger equation},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {55},
year = {2002},
number = {10},
pages = {1231--1248},
issn = {0010-3640},
mrclass = {82B05 (35Q55 60H25)},
mrnumber = {1912096},
mrreviewer = {Kiyomasa Narita},
doi = {10.1002/cpa.10043},
url = {https://doi.org/10.1002/cpa.10043}
}
@Article{ rider:03:fluctuations,
author = {Rider, B.},
title = {Fluctuations in the thermodynamic limit of focussing cubic
{S}chr\"{o}dinger},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {113},
year = {2003},
number = {3-4},
pages = {575--594},
issn = {0022-4715},
mrclass = {82B05 (35Q55)},
mrnumber = {2013697},
mrreviewer = {Luc Rey-Bellet},
doi = {10.1023/A:1026072819239},
url = {https://doi.org/10.1023/A:1026072819239}
}
@InCollection{ rider:03:limit,
author = {Rider, B.},
title = {A limit theorem at the edge of a non-{H}ermitian random
matrix ensemble},
note = {Random matrix theory},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {36},
year = {2003},
number = {12},
pages = {3401--3409},
issn = {0305-4470},
mrclass = {15A52},
mrnumber = {1986426},
mrreviewer = {Oleksiy Khorunzhiy},
doi = {10.1088/0305-4470/36/12/331},
url = {https://doi.org/10.1088/0305-4470/36/12/331}
}
@Article{ rider:04:deviations,
author = {Rider, B.},
title = {Deviations from the circular law},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {130},
year = {2004},
number = {3},
pages = {337--367},
issn = {0178-8051},
mrclass = {82B31 (60F05)},
mrnumber = {2095933},
mrreviewer = {Razvan Teodorescu},
doi = {10.1007/s00440-004-0355-x},
url = {https://doi.org/10.1007/s00440-004-0355-x}
}
@Article{ rider:04:order,
author = {Rider, B.},
title = {Order statistics and {G}inibre's ensembles},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {114},
year = {2004},
number = {3-4},
pages = {1139--1148},
issn = {0022-4715},
mrclass = {82B41 (15A52 60F99)},
mrnumber = {2035641},
mrreviewer = {Oleksiy Khorunzhiy},
doi = {10.1023/B:JOSS.0000012520.37908.07},
url = {https://doi.org/10.1023/B:JOSS.0000012520.37908.07}
}
@Article{ rio.jitomirskaya.ea:96:operators,
author = {del Rio, R. and Jitomirskaya, S. and Last, Y. and Simon,
B.},
title = {Operators with singular continuous spectrum. {IV}.
{H}ausdorff dimensions, rank one perturbations, and
localization},
journal = {J. Anal. Math.},
fjournal = {Journal d'Analyse Math\'ematique},
volume = {69},
year = {1996},
pages = {153--200},
issn = {0021-7670,1565-8538},
mrclass = {47A10 (34L40 47A55 47B25 47B80 47E05 47N50 81Q10)},
mrnumber = {1428099},
mrreviewer = {Horst\ Behncke},
doi = {10.1007/BF02787106},
url = {https://doi.org/10.1007/BF02787106}
}
@Article{ rios-insua.banks.ea:16:modeling,
title = {Modeling opponents in adversarial risk analysis},
author = {Rios Insua, David and Banks, David and Rios, Jesus},
journal = {Risk Analysis},
volume = {36},
number = {4},
pages = {742--755},
year = {2016},
publisher = {Wiley Online Library}
}
@Article{ rios-insua.ros.ea:09:adversarial,
title = {Adversarial risk analysis},
author = {Rios Insua, David and R{\'\i}os, Jes{\'u}s and Banks, David},
journal = {Journal of the American Statistical Association},
volume = {104},
number = {486},
pages = {841--854},
year = {2009},
publisher = {Taylor \& Francis}
}
@Book{ riviere:08:discontinuous,
author = {Rivi\`ere, B\'{e}atrice},
title = {Discontinuous {G}alerkin methods for solving elliptic and
parabolic equations},
series = {Frontiers in Applied Mathematics},
volume = {35},
note = {Theory and implementation},
publisher = {Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, PA},
year = {2008},
pages = {xxii+190},
isbn = {978-0-898716-56-6},
mrclass = {65N30 (65M60 76M10 76S05)},
mrnumber = {2431403},
mrreviewer = {Colin J. Cotter},
doi = {10.1137/1.9780898717440},
url = {https://doi.org/10.1137/1.9780898717440}
}
@Article{ robert.vargas:08:hydrodynamic,
author = {Robert, Raoul and Vargas, Vincent},
title = {Hydrodynamic turbulence and intermittent random fields},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {284},
year = {2008},
number = {3},
pages = {649--673},
issn = {0010-3616,1432-0916},
mrclass = {60G60 (60G15 60G18 76F05 76F55 76M35)},
mrnumber = {2452591},
mrreviewer = {Peter\ Bernard\ Weichman},
doi = {10.1007/s00220-008-0642-y},
url = {https://doi.org/10.1007/s00220-008-0642-y}
}
@Article{ robert.vargas:10:gaussian,
author = {Robert, Raoul and Vargas, Vincent},
title = {Gaussian multiplicative chaos revisited},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {2},
pages = {605--631},
issn = {0091-1798,2168-894X},
mrclass = {60G57 (28A80 60G15 60G25)},
mrnumber = {2642887},
doi = {10.1214/09-AOP490},
url = {https://doi.org/10.1214/09-AOP490}
}
@Article{ roberts:13:simple,
author = {Roberts, Matthew I.},
title = {A simple path to asymptotics for the frontier of a
branching {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {5},
pages = {3518--3541},
issn = {0091-1798},
mrclass = {60J80 (60J65)},
mrnumber = {3127890},
mrreviewer = {Bastien Mallein},
doi = {10.1214/12-AOP753},
url = {https://doi.org/10.1214/12-AOP753}
}
@Article{ robeva.pitt:04:on,
author = {Robeva, Raina S. and Pitt, Loren D.},
title = {On the equality of sharp and germ {$\sigma$}-fields for
{G}aussian processes and fields},
journal = {Pliska Stud. Math. Bulgar.},
fjournal = {Pliska Studia Mathematica Bulgarica},
volume = {16},
year = {2004},
pages = {183--205},
issn = {0204-9805},
mrclass = {60G15 (31B15 31B25 60G60 60H15)},
mrnumber = {2070315},
mrreviewer = {Anna Karczewska}
}
@Book{ robeva:97:sharp,
author = {Robeva, Raina Stefanova},
title = {The sharp {M}arkov property for {G}aussian random fields
and a problem of spectral synthesis in certain function
spaces},
note = {Thesis (Ph.D.)--University of Virginia},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1997},
pages = {141},
isbn = {978-0591-33604-7},
mrclass = {Thesis},
mrnumber = {2695556},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9724645}
}
@Book{ rockafellar:70:convex,
author = {Rockafellar, R. Tyrrell},
title = {Convex analysis},
series = {Princeton Mathematical Series, No. 28},
publisher = {Princeton University Press, Princeton, N.J.},
year = {1970},
pages = {xviii+451},
mrclass = {26.52 (46.00)},
mrnumber = {0274683},
mrreviewer = {Ky Fan}
}
@Article{ rockner.russo:17:uniqueness,
author = {R\"{o}ckner, Michael and Russo, Francesco},
title = {Uniqueness for a class of stochastic {F}okker-{P}lanck and
porous media equations},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {17},
year = {2017},
number = {3},
pages = {1049--1062},
issn = {1424-3199,1424-3202},
mrclass = {35R60 (35Q84 60H15 82C31)},
mrnumber = {3707309},
mrreviewer = {Le\ Chen},
doi = {10.1007/s00028-016-0372-0},
url = {https://doi.org/10.1007/s00028-016-0372-0}
}
@Article{ rockner.wang.ea:13:stochastic,
author = {R\"{o}ckner, Michael and Wang, Feng-Yu and Zhang, Tusheng},
title = {Stochastic generalized porous media equations with
reflection},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {123},
year = {2013},
number = {11},
pages = {3943--3962},
issn = {0304-4149},
mrclass = {60H15 (60J35)},
mrnumber = {3091095},
mrreviewer = {Vassili N. Kolokol{\cprime}tsov},
doi = {10.1016/j.spa.2013.06.003},
url = {https://doi.org/10.1016/j.spa.2013.06.003}
}
@Article{ rockner.zhang.ea:10:large,
author = {R\"{o}ckner, Michael and Zhang, Tusheng and Zhang,
Xicheng},
title = {Large deviations for stochastic tamed 3{D}
{N}avier-{S}tokes equations},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {61},
year = {2010},
number = {2},
pages = {267--285},
issn = {0095-4616},
mrclass = {60H15 (60F10 76D05 76M35)},
mrnumber = {2585144},
doi = {10.1007/s00245-009-9089-6},
url = {https://doi.org/10.1007/s00245-009-9089-6}
}
@Article{ rockner.zhang:07:stochastic,
author = {R\"{o}ckner, Michael and Zhang, Tusheng},
title = {Stochastic evolution equations of jump type: existence,
uniqueness and large deviation principles},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {26},
year = {2007},
number = {3},
pages = {255--279},
issn = {0926-2601},
mrclass = {60H10 (93E20)},
mrnumber = {2286037},
mrreviewer = {Sandra Cerrai},
doi = {10.1007/s11118-006-9035-z},
url = {https://doi.org/10.1007/s11118-006-9035-z}
}
@Article{ rockner.zhang:12:stochastic,
author = {R\"{o}ckner, Michael and Zhang, Tusheng},
title = {Stochastic 3{D} tamed {N}avier-{S}tokes equations:
existence, uniqueness and small time large deviation
principles},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {252},
year = {2012},
number = {1},
pages = {716--744},
issn = {0022-0396},
mrclass = {35R60 (35B40 35Q30 60F10 60H15)},
mrnumber = {2852224},
doi = {10.1016/j.jde.2011.09.030},
url = {https://doi.org/10.1016/j.jde.2011.09.030}
}
@Article{ rockner.zhang:92:uniqueness,
author = {R\"{o}ckner, Michael and Zhang, Tu Sheng},
title = {Uniqueness of generalized {S}chr\"{o}dinger operators and
applications},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {105},
year = {1992},
number = {1},
pages = {187--231},
issn = {0022-1236},
mrclass = {47F05 (35J10 47D07 47N50 81S20)},
mrnumber = {1156676},
doi = {10.1016/0022-1236(92)90078-W},
url = {https://doi.org/10.1016/0022-1236(92)90078-W}
}
@Article{ rockner.zhu.ea:14:local,
author = {R\"{o}ckner, Michael and Zhu, Rongchan and Zhu, Xiangchan},
title = {Local existence and non-explosion of solutions for
stochastic fractional partial differential equations driven
by multiplicative noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {5},
pages = {1974--2002},
issn = {0304-4149},
mrclass = {60H15 (35R11 35R60 60H30)},
mrnumber = {3170231},
doi = {10.1016/j.spa.2014.01.010},
url = {https://doi.org/10.1016/j.spa.2014.01.010}
}
@Article{ rockner.zhu.ea:17:ergodicity,
author = {R\"{o}ckner, Michael and Zhu, Rongchan and Zhu, Xiangchan},
title = {Ergodicity for the stochastic quantization problems on the
2{D}-torus},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {352},
year = {2017},
number = {3},
pages = {1061--1090},
issn = {0010-3616},
mrclass = {37A25 (37H10)},
mrnumber = {3631399},
doi = {10.1007/s00220-017-2865-2},
url = {https://doi.org/10.1007/s00220-017-2865-2}
}
@Article{ rockner.zhu.ea:17:restricted,
author = {R\"{o}ckner, Michael and Zhu, Rongchan and Zhu, Xiangchan},
title = {Restricted {M}arkov uniqueness for the stochastic
quantization of {$P(\Phi)_2$} and its applications},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {272},
year = {2017},
number = {10},
pages = {4263--4303},
issn = {0022-1236},
mrclass = {60H15 (82C28)},
mrnumber = {3626040},
doi = {10.1016/j.jfa.2017.01.023},
url = {https://doi.org/10.1016/j.jfa.2017.01.023}
}
@InCollection{ rodgers.nagao:11:complex,
author = {Rodgers, G. J. and Nagao, T.},
title = {Complex networks},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {898--911},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {05C82 (15A18)},
mrnumber = {2932663}
}
@Book{ rodino:93:linear,
author = {Rodino, Luigi},
title = {Linear partial differential operators in {G}evrey spaces},
publisher = {World Scientific Publishing Co., Inc., River Edge, NJ},
year = {1993},
pages = {x+251},
isbn = {981-02-0845-6},
mrclass = {35-02 (35B27 35D05 35H05 35S05 46Fxx)},
mrnumber = {1249275},
mrreviewer = {Todor V. Gramchev},
doi = {10.1142/9789814360036},
url = {https://doi.org/10.1142/9789814360036}
}
@Article{ rogers.pitman:81:markov,
author = {Rogers, L. C. G. and Pitman, J. W.},
title = {Markov functions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {9},
year = {1981},
number = {4},
pages = {573--582},
issn = {0091-1798},
mrclass = {60J25 (60J65)},
mrnumber = {624684},
mrreviewer = {D. Kannan},
url = {http://links.jstor.org/sici?sici=0091-1798(198108)9:4<573:MF>2.0.CO;2-G&origin=MSN}
}
@Book{ rogers.williams:00:diffusions,
author = {Rogers, L. C. G. and Williams, David},
title = {Diffusions, {M}arkov processes, and martingales. {V}ol.
2},
series = {Cambridge Mathematical Library},
note = {It\^{o} calculus, Reprint of the second (1994) edition},
publisher = {Cambridge University Press, Cambridge},
year = {2000},
pages = {xiv+480},
isbn = {0-521-77593-0},
mrclass = {60J60 (60G07 60H05 60J25)},
mrnumber = {1780932},
doi = {10.1017/CBO9781107590120},
url = {https://doi.org/10.1017/CBO9781107590120}
}
@Article{ rohde.schramm:05:basic,
author = {Rohde, Steffen and Schramm, Oded},
title = {Basic properties of {SLE}},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {161},
year = {2005},
number = {2},
pages = {883--924},
issn = {0003-486X},
mrclass = {60K35 (28A80 60J55 60J65)},
mrnumber = {2153402},
mrreviewer = {Olivier Raimond},
doi = {10.4007/annals.2005.161.883},
url = {https://doi.org/10.4007/annals.2005.161.883}
}
@Article{ romito:14:uniqueness,
author = {Romito, Marco},
title = {Uniqueness and blow-up for a stochastic viscous dyadic
model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {158},
year = {2014},
number = {3-4},
pages = {895--924},
issn = {0178-8051},
mrclass = {35R60 (35A02 35B44 35Q35 60H15 76D06)},
mrnumber = {3176368},
mrreviewer = {Marko Nedeljkov},
doi = {10.1007/s00440-013-0499-7},
url = {https://doi.org/10.1007/s00440-013-0499-7}
}
@Article{ romito:18:simple,
author = {Romito, Marco},
title = {A simple method for the existence of a density for
stochastic evolutions with rough coefficients},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {23},
year = {2018},
pages = {Paper no. 113, 43},
mrclass = {60H10 (34F05 60H07 60H15)},
mrnumber = {3885546},
mrreviewer = {Yong Chen},
doi = {10.1214/18-EJP242},
url = {https://doi.org/10.1214/18-EJP242}
}
@InCollection{ rosen:05:derivatives,
author = {Rosen, Jay},
title = {Derivatives of self-intersection local times},
booktitle = {S\'eminaire de {P}robabilit\'es {XXXVIII}},
series = {Lecture Notes in Math.},
volume = {1857},
pages = {263--281},
publisher = {Springer, Berlin},
year = {2005},
isbn = {3-540-23973-1},
mrclass = {60J55},
mrnumber = {2126979},
mrreviewer = {Hac\`ene\ Boutabia},
doi = {10.1007/978-3-540-31449-3\_18},
url = {https://doi.org/10.1007/978-3-540-31449-3_18}
}
@Article{ rosen:69:dilatation,
title = {Dilatation Covariance and Exact Solutions in Local
Relativistic Field Theories},
author = {Rosen, Gerald},
journal = {Phys. Rev.},
volume = {183},
issue = {5},
pages = {1186--1188},
numpages = {0},
year = {1969},
month = {Jul},
publisher = {American Physical Society},
doi = {10.1103/PhysRev.183.1186},
url = {https://link.aps.org/doi/10.1103/PhysRev.183.1186}
}
@Article{ rosen:83:local,
author = {Rosen, Jay},
title = {A local time approach to the self-intersections of
{B}rownian paths in space},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {88},
year = {1983},
number = {3},
pages = {327--338},
issn = {0010-3616,1432-0916},
mrclass = {60J65 (60G17)},
mrnumber = {701921},
mrreviewer = {Robert\ J.\ Adler},
url = {http://projecteuclid.org/euclid.cmp/1103922380}
}
@Article{ rosen:84:self-intersections,
author = {Rosen, Jay},
title = {Self-intersections of random fields},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {12},
year = {1984},
number = {1},
pages = {108--119},
issn = {0091-1798,2168-894X},
mrclass = {60G60 (60G15 60G17 60J65)},
mrnumber = {723732},
mrreviewer = {Robert\ J.\ Adler},
url = {http://links.jstor.org/sici?sici=0091-1798(198402)12:1<108:SORF>2.0.CO;2-R&origin=MSN}
}
@Article{ rosen:87:intersection,
author = {Rosen, Jay},
title = {The intersection local time of fractional {B}rownian
motion in the plane},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {23},
year = {1987},
number = {1},
pages = {37--46},
issn = {0047-259X},
mrclass = {60G15 (60G17 60J55)},
mrnumber = {911792},
mrreviewer = {Simeon M. Berman},
doi = {10.1016/0047-259X(87)90176-X},
url = {https://doi.org/10.1016/0047-259X(87)90176-X}
}
@Article{ rosen:90:random,
author = {Rosen, Jay},
title = {Random walks and intersection local time},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {18},
year = {1990},
number = {3},
pages = {959--977},
issn = {0091-1798},
mrclass = {60J55 (60G50 60J65)},
mrnumber = {1062054},
mrreviewer = {S. J. Taylor},
url = {http://links.jstor.org/sici?sici=0091-1798(199007)18:3<959:RWAILT>2.0.CO;2-G&origin=MSN}
}
@InProceedings{ rosenblatt:72:central,
author = {Rosenblatt, M.},
title = {Central limit theorem for stationary processes},
booktitle = {Proceedings of the {S}ixth {B}erkeley {S}ymposium on
{M}athematical {S}tatistics and {P}robability ({U}niv.
{C}alifornia, {B}erkeley, {C}alif., 1970/1971), {V}ol.
{II}: {P}robability theory},
pages = {551--561},
publisher = {Univ. California Press, Berkeley, CA},
year = {1972},
mrclass = {60F05 (60G10)},
mrnumber = {402869},
mrreviewer = {T.-C. Sun}
}
@Article{ rosenkrantz.stearns.ea:77:analysis,
title = {An analysis of several heuristics for the traveling
salesman problem},
author = {Rosenkrantz, Daniel J and Stearns, Richard E and Lewis,
II, Philip M},
journal = {SIAM journal on computing},
volume = {6},
number = {3},
pages = {563--581},
year = {1977},
publisher = {SIAM}
}
@Article{ rosenkrantz.stearns.ea:77:analysis*1,
title = {An analysis of several heuristics for the traveling
salesman problem},
author = {Rosenkrantz, Daniel J and Stearns, Richard E and Lewis,
II, Philip M},
journal = {SIAM journal on computing},
volume = {6},
number = {3},
pages = {563--581},
year = {1977},
publisher = {SIAM}
}
@Article{ rosenzweig.staffilani:23:global,
author = {Rosenzweig, Matthew and Staffilani, Gigliola},
title = {Global solutions of aggregation equations and other flows
with random diffusion},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {185},
year = {2023},
number = {3-4},
pages = {1219--1262},
issn = {0178-8051},
mrclass = {35Q35 (35Q49 35Q70 35R60 60H50)},
mrnumber = {4556291},
doi = {10.1007/s00440-022-01171-8},
url = {https://doi.org/10.1007/s00440-022-01171-8}
}
@Article{ rosinski.zak:96:simple,
author = {Rosi\'{n}ski, Jan and \.{Z}ak, Tomasz},
title = {Simple conditions for mixing of infinitely divisible
processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {61},
year = {1996},
number = {2},
pages = {277--288},
issn = {0304-4149},
mrclass = {60J30},
mrnumber = {1386177},
mrreviewer = {Piotr Kokoszka},
doi = {10.1016/0304-4149(95)00083-6},
url = {https://doi.org/10.1016/0304-4149(95)00083-6}
}
@Article{ rosinski:07:tempering,
author = {Rosi\'{n}ski, Jan},
title = {Tempering stable processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {117},
year = {2007},
number = {6},
pages = {677--707},
issn = {0304-4149},
mrclass = {60G52 (60E07)},
mrnumber = {2327834},
mrreviewer = {Vladimir P. Kurenok},
doi = {10.1016/j.spa.2006.10.003},
url = {https://doi.org/10.1016/j.spa.2006.10.003}
}
@Article{ rosinski:89:on,
author = {Rosi\'{n}ski, Jan},
title = {On path properties of certain infinitely divisible
processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {33},
year = {1989},
number = {1},
pages = {73--87},
issn = {0304-4149},
mrclass = {60G17 (60E07 60G57)},
mrnumber = {1027109},
mrreviewer = {Balram S. Rajput},
doi = {10.1016/0304-4149(89)90067-7},
url = {https://doi.org/10.1016/0304-4149(89)90067-7}
}
@Article{ ross:11:fundamentals,
author = {Ross, Nathan},
title = {Fundamentals of {S}tein's method},
journal = {Probab. Surv.},
fjournal = {Probability Surveys},
volume = {8},
year = {2011},
pages = {210--293},
mrclass = {60F05 (05C80 60C05)},
mrnumber = {2861132},
mrreviewer = {Anant P. Godbole},
doi = {10.1214/11-PS182},
url = {https://doi.org/10.1214/11-PS182}
}
@Book{ ross:14:introduction,
title = {Introduction to Probability Models},
author = {Ross, Sheldon M},
year = {2014},
publisher = {Academic Press}
}
@Article{ rossi.wolanski:98:global,
author = {Rossi, Julio D. and Wolanski, Noemi},
title = {Global existence and nonexistence for a parabolic system
with nonlinear boundary conditions},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {11},
year = {1998},
number = {1},
pages = {179--190},
issn = {0893-4983},
mrclass = {35K60 (35B60)},
mrnumber = {1608013}
}
@Article{ rost:81:nonequilibrium,
author = {Rost, H.},
title = {Nonequilibrium behaviour of a many particle process:
density profile and local equilibria},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {58},
year = {1981},
number = {1},
pages = {41--53},
issn = {0044-3719},
mrclass = {60K35 (82A05)},
mrnumber = {635270},
mrreviewer = {T. M. Liggett},
doi = {10.1007/BF00536194},
url = {https://doi.org/10.1007/BF00536194}
}
@Book{ rothe:84:global,
author = {Rothe, Franz},
title = {Global solutions of reaction-diffusion systems},
series = {Lecture Notes in Mathematics},
volume = {1072},
publisher = {Springer-Verlag, Berlin},
year = {1984},
pages = {v+216},
isbn = {3-540-13365-8},
mrclass = {35K57 (35B50 92A05)},
mrnumber = {755878},
mrreviewer = {Piero de Mottoni},
doi = {10.1007/BFb0099278},
url = {https://doi.org/10.1007/BFb0099278}
}
@Article{ rovira.sanz-sole:00:large,
author = {Rovira, Carles and Sanz-Sol\'{e}, Marta},
title = {Large deviations for stochastic {V}olterra equations in
the plane},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {12},
year = {2000},
number = {4},
pages = {359--383},
issn = {0926-2601},
mrclass = {60F10 (35R60 60H15 60H20)},
mrnumber = {1771797},
mrreviewer = {Richard B. Sowers},
doi = {10.1023/A:1008662409325},
url = {https://doi.org/10.1023/A:1008662409325}
}
@Article{ rovira.sanz-sole:01:stochastic,
author = {Rovira, C. and Sanz-Sol\'{e}, M.},
title = {Stochastic {V}olterra equations in the plane: smoothness
of the law},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {19},
year = {2001},
number = {6},
pages = {983--1004},
issn = {0736-2994},
mrclass = {60H07 (45D05 45R05)},
mrnumber = {1865642},
mrreviewer = {R\'{e}mi L\'{e}andre},
doi = {10.1081/SAP-120000757},
url = {https://doi.org/10.1081/SAP-120000757}
}
@InCollection{ rovira.sanz-sole:95:nonlinear,
author = {Rovira, Carles and Sanz-Sol\'{e}, Marta},
title = {A nonlinear hyperbolic {SPDE}: approximations and
support},
booktitle = {Stochastic partial differential equations ({E}dinburgh,
1994)},
series = {London Math. Soc. Lecture Note Ser.},
volume = {216},
pages = {241--261},
publisher = {Cambridge Univ. Press, Cambridge},
year = {1995},
mrclass = {35R60 (35L70 60H15)},
mrnumber = {1352746},
mrreviewer = {Ana Bela Cruzeiro},
doi = {10.1017/CBO9780511526213.016},
url = {https://doi.org/10.1017/CBO9780511526213.016}
}
@Article{ rovira.sanz-sole:96:law,
author = {Rovira, Carles and Sanz-Sol\'{e}, Marta},
title = {The law of the solution to a nonlinear hyperbolic {SPDE}},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {9},
year = {1996},
number = {4},
pages = {863--901},
issn = {0894-9840},
mrclass = {60F10 (35L10 35R60 60H07 60H15 60H20)},
mrnumber = {1419867},
mrreviewer = {Richard B. Sowers},
doi = {10.1007/BF02214255},
url = {https://doi.org/10.1007/BF02214255}
}
@Article{ rovira.sanz-sole:97:anticipating,
author = {Rovira, Carles and Sanz-Sol\'{e}, Marta},
title = {Anticipating stochastic differential equations: regularity
of the law},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {143},
year = {1997},
number = {1},
pages = {157--179},
issn = {0022-1236},
mrclass = {60H10 (60H07)},
mrnumber = {1428121},
mrreviewer = {Axel Ernest Grorud},
doi = {10.1006/jfan.1996.2972},
url = {https://doi.org/10.1006/jfan.1996.2972}
}
@InCollection{ rovira.sanz-sole:98:regularity,
author = {Rovira, Carles and Sanz-Sol\'{e}, Marta},
title = {Regularity of the law for a class of anticipating
stochastic differential equations},
booktitle = {Stochastic analysis and related topics, {VI} ({G}eilo,
1996)},
series = {Progr. Probab.},
volume = {42},
pages = {357--371},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1998},
mrclass = {60H10 (60H20)},
mrnumber = {1652354},
mrreviewer = {Rosario Delgado}
}
@Article{ rovira.tindel:00:sharp,
author = {Rovira, Carles and Tindel, Samy},
title = {Sharp large deviation estimates for a certain class of
sets on the {W}iener space},
journal = {Bull. Sci. Math.},
fjournal = {Bulletin des Sciences Math\'{e}matiques},
volume = {124},
year = {2000},
number = {7},
pages = {525--555},
issn = {0007-4497},
mrclass = {60H07 (60F10)},
mrnumber = {1793908},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1016/S0007-4497(00)01062-9},
url = {https://doi.org/10.1016/S0007-4497(00)01062-9}
}
@Article{ rovira.tindel:00:sharp*1,
author = {Rovira, Carles and Tindel, Samy},
title = {Sharp {L}aplace asymptotics for a parabolic {SPDE}},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {69},
year = {2000},
number = {1-2},
pages = {11--30},
issn = {1045-1129},
mrclass = {60F10 (60H15)},
mrnumber = {1751716},
doi = {10.1080/17442500008834230},
url = {https://doi.org/10.1080/17442500008834230}
}
@Article{ rovira.tindel:01:sharp,
author = {Rovira, Carles and Tindel, Samy},
title = {Sharp large deviation estimates for the stochastic heat
equation},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {14},
year = {2001},
number = {4},
pages = {409--435},
issn = {0926-2601},
mrclass = {60H15 (60F10)},
mrnumber = {1825694},
mrreviewer = {Zhongmin Qian},
doi = {10.1023/A:1011286304117},
url = {https://doi.org/10.1023/A:1011286304117}
}
@InCollection{ rovira.tindel:01:sharp*1,
author = {Rovira, C. and Tindel, S.},
title = {Sharp {L}aplace asymptotics for a hyperbolic {SPDE}},
booktitle = {Stochastic analysis and related topics, {VII} ({K}usadasi,
1998)},
series = {Progr. Probab.},
volume = {48},
pages = {225--244},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2001},
mrclass = {60H15 (60F10)},
mrnumber = {1915457},
mrreviewer = {Giambattista Giacomin}
}
@Article{ rovira.tindel:05:on,
author = {Rovira, Carles and Tindel, Samy},
title = {On the {B}rownian-directed polymer in a {G}aussian random
environment},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {222},
year = {2005},
number = {1},
pages = {178--201},
issn = {0022-1236},
mrclass = {60K37 (60H07)},
mrnumber = {2129770},
mrreviewer = {Philippe Carmona},
doi = {10.1016/j.jfa.2004.07.017},
url = {https://doi.org/10.1016/j.jfa.2004.07.017}
}
@InCollection{ roy.olver.ea:10:algebraic,
author = {Roy, R. and Olver, F. W. J. and Askey, R. A. and Wong,
R.},
title = {Algebraic and analytic methods},
booktitle = {N{IST} handbook of mathematical functions},
pages = {1--39},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {26-01 (15-01 30-01)},
mrnumber = {2655341}
}
@InCollection{ roy.olver:10:elementary,
author = {Roy, R. and Olver, F. W. J.},
title = {Elementary functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {103--134},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33B10},
mrnumber = {2655344}
}
@Article{ roy.pandit:20:one-dimensional,
author = {Roy, Dipankar and Pandit, Rahul},
title = {One-dimensional {K}ardar-{P}arisi-{Z}hang and
{K}uramoto-{S}ivashinsky universality class: limit
distributions},
journal = {Phys. Rev. E},
fjournal = {Physical Review E},
volume = {101},
year = {2020},
number = {3},
pages = {030103(R), 6},
issn = {2470-0045},
mrclass = {82C05},
mrnumber = {4083969}
}
@Book{ royden:63:real,
author = {Royden, H. L.},
title = {Real analysis},
publisher = {The Macmillan Company, New York; Collier Macmillan Ltd.,
London},
year = {1963},
pages = {xvi+284},
mrclass = {26.00 (28.00)},
mrnumber = {0151555},
mrreviewer = {P. Franklin}
}
@Article{ royen:14:simple,
author = {Royen, Thomas},
title = {A simple proof of the {G}aussian correlation conjecture
extended to some multivariate gamma distributions},
journal = {Far East J. Theor. Stat.},
fjournal = {Far East Journal of Theoretical Statistics},
volume = {48},
year = {2014},
number = {2},
pages = {139--145},
issn = {0972-0863},
mrclass = {60E15 (60E05)},
mrnumber = {3289621}
}
@Book{ rozanov:82:markov,
author = {Rozanov, Yu. A.},
title = {Markov random fields},
series = {Applications of Mathematics},
note = {Translated from the Russian by Constance M. Elson},
publisher = {Springer-Verlag, New York-Berlin},
year = {1982},
pages = {ix+201},
isbn = {0-387-90708-4},
mrclass = {60G60 (60G20 60J25)},
mrnumber = {676644},
mrreviewer = {V. S. Mandrekar}
}
@Article{ rozendaal.veraar:18:fourier,
author = {Rozendaal, Jan and Veraar, Mark},
title = {Fourier multiplier theorems involving type and cotype},
journal = {J. Fourier Anal. Appl.},
fjournal = {The Journal of Fourier Analysis and Applications},
volume = {24},
year = {2018},
number = {2},
pages = {583--619},
issn = {1069-5869,1531-5851},
mrclass = {42B15 (42B35 46B20 46E40 47B38)},
mrnumber = {3776336},
mrreviewer = {Brett\ D.\ Wick},
doi = {10.1007/s00041-017-9532-z},
url = {https://doi.org/10.1007/s00041-017-9532-z}
}
@Article{ rozendaal.veraar:18:sharp,
author = {Rozendaal, Jan and Veraar, Mark},
title = {Sharp growth rates for semigroups using resolvent bounds},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {18},
year = {2018},
number = {4},
pages = {1721--1744},
issn = {1424-3199,1424-3202},
mrclass = {47D06 (34D05 35B40 35L15 42B15)},
mrnumber = {3884767},
mrreviewer = {Larisa\ Elena\ Biri\c s},
doi = {10.1007/s00028-018-0459-x},
url = {https://doi.org/10.1007/s00028-018-0459-x}
}
@Article{ rozendaal.veraar:18:stability,
author = {Rozendaal, Jan and Veraar, Mark},
title = {Stability theory for semigroups using {$(L^p,L^q)$}
{F}ourier multipliers},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {275},
year = {2018},
number = {10},
pages = {2845--2894},
issn = {0022-1236,1096-0783},
mrclass = {47D06 (34D05 35B40 35K90 42B15 46B20)},
mrnumber = {3853082},
mrreviewer = {Irina\ V.\ Melnikova},
doi = {10.1016/j.jfa.2018.06.015},
url = {https://doi.org/10.1016/j.jfa.2018.06.015}
}
@Book{ rozovski:90:stochastic,
author = {Rozovski, B. L.},
title = {Stochastic evolution systems},
series = {Mathematics and its Applications (Soviet Series)},
volume = {35},
note = {Linear theory and applications to nonlinear filtering,
Translated from the Russian by A. Yarkho},
publisher = {Kluwer Academic Publishers Group, Dordrecht},
year = {1990},
pages = {xviii+315},
isbn = {0-7923-0037-8},
mrclass = {60H10 (34F05 35R60 60G35 60J60)},
mrnumber = {1135324},
doi = {10.1007/978-94-011-3830-7},
url = {https://doi.org/10.1007/978-94-011-3830-7}
}
@Book{ rozovsky.lototsky:18:stochastic,
author = {Rozovsky, Boris L. and Lototsky, Sergey V.},
title = {Stochastic evolution systems},
series = {Probability Theory and Stochastic Modelling},
volume = {89},
note = {Linear theory and applications to non-linear filtering,
Second edition of [ MR1135324]},
publisher = {Springer, Cham},
year = {2018},
pages = {xvi+330},
isbn = {978-3-319-94892-8; 978-3-319-94893-5},
mrclass = {60-02 (34F05 35R60 60G35 60H15 60J60)},
mrnumber = {3839316},
mrreviewer = {Charles-Edouard Br\'{e}hier},
doi = {10.1007/978-3-319-94893-5},
url = {https://doi.org/10.1007/978-3-319-94893-5}
}
@Article{ rudelson.samorodnitsky.ea:16:hafnians,
author = {Rudelson, Mark and Samorodnitsky, Alex and Zeitouni,
Ofer},
title = {Hafnians, perfect matchings and {G}aussian matrices},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {4},
pages = {2858--2888},
issn = {0091-1798,2168-894X},
mrclass = {60B20 (05C70 15B52)},
mrnumber = {3531682},
mrreviewer = {Steven\ Joel\ Miller},
doi = {10.1214/15-AOP1036},
url = {https://doi.org/10.1214/15-AOP1036}
}
@Article{ rudelson.vershynin:08:least,
author = {Rudelson, Mark and Vershynin, Roman},
title = {The least singular value of a random square matrix is
{$O(n^{-1/2})$}},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {346},
year = {2008},
number = {15-16},
pages = {893--896},
issn = {1631-073X},
mrclass = {60G70 (15A18 15A42 15A52 60E15)},
mrnumber = {2441928},
doi = {10.1016/j.crma.2008.07.009},
url = {https://doi.org/10.1016/j.crma.2008.07.009}
}
@Article{ rudelson.vershynin:08:littlewood-offord,
author = {Rudelson, Mark and Vershynin, Roman},
title = {The {L}ittlewood-{O}fford problem and invertibility of
random matrices},
journal = {Adv. Math.},
fjournal = {Advances in Mathematics},
volume = {218},
year = {2008},
number = {2},
pages = {600--633},
issn = {0001-8708},
mrclass = {60E15 (60B20)},
mrnumber = {2407948},
mrreviewer = {Ben Joseph Green},
doi = {10.1016/j.aim.2008.01.010},
url = {https://doi.org/10.1016/j.aim.2008.01.010}
}
@Article{ rudelson.vershynin:09:smallest,
author = {Rudelson, Mark and Vershynin, Roman},
title = {Smallest singular value of a random rectangular matrix},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {62},
year = {2009},
number = {12},
pages = {1707--1739},
issn = {0010-3640},
mrclass = {60B20 (15A42 15B52 60E15)},
mrnumber = {2569075},
mrreviewer = {Mark W. Meckes},
doi = {10.1002/cpa.20294},
url = {https://doi.org/10.1002/cpa.20294}
}
@Article{ rudelson.zeitouni:16:singular,
author = {Rudelson, Mark and Zeitouni, Ofer},
title = {Singular values of {G}aussian matrices and permanent
estimators},
journal = {Random Structures Algorithms},
fjournal = {Random Structures \& Algorithms},
volume = {48},
year = {2016},
number = {1},
pages = {183--212},
issn = {1042-9832,1098-2418},
mrclass = {60B20 (05C50 15A15 15B52 62F10)},
mrnumber = {3432577},
mrreviewer = {Michael\ Stolz},
doi = {10.1002/rsa.20564},
url = {https://doi.org/10.1002/rsa.20564}
}
@Article{ rudelson:08:invertibility,
author = {Rudelson, Mark},
title = {Invertibility of random matrices: norm of the inverse},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {168},
year = {2008},
number = {2},
pages = {575--600},
issn = {0003-486X},
mrclass = {46B09 (15B52 60D05 60E15 60F10)},
mrnumber = {2434885},
mrreviewer = {Sasha Sodin},
doi = {10.4007/annals.2008.168.575},
url = {https://doi.org/10.4007/annals.2008.168.575}
}
@Book{ rudin:87:real,
author = {Rudin, Walter},
title = {Real and complex analysis},
edition = {Third},
publisher = {McGraw-Hill Book Co., New York},
year = {1987},
pages = {xiv+416},
isbn = {0-07-054234-1},
mrclass = {00A05 (26-01 30-01 46-01)},
mrnumber = {924157}
}
@Book{ rudin:91:functional,
author = {Rudin, Walter},
title = {Functional analysis},
series = {International Series in Pure and Applied Mathematics},
edition = {Second},
publisher = {McGraw-Hill, Inc., New York},
year = {1991},
pages = {xviii+424},
isbn = {0-07-054236-8},
mrclass = {46-01 (47-01)},
mrnumber = {1157815}
}
@Article{ ruelle:87:mathematical,
author = {Ruelle, David},
title = {A mathematical reformulation of {D}errida's {REM} and
{GREM}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {108},
year = {1987},
number = {2},
pages = {225--239},
issn = {0010-3616},
mrclass = {82A05 (60K35 82A57)},
mrnumber = {875300},
mrreviewer = {Aernout C. D. van Enter},
url = {http://projecteuclid.org/euclid.cmp/1104116461}
}
@Book{ runst.sickel:96:sobolev,
author = {Runst, Thomas and Sickel, Winfried},
title = {Sobolev spaces of fractional order, {N}emytskij operators,
and nonlinear partial differential equations},
series = {De Gruyter Series in Nonlinear Analysis and Applications},
volume = {3},
publisher = {Walter de Gruyter \& Co., Berlin},
year = {1996},
pages = {x+547},
isbn = {3-11-015113-8},
mrclass = {47H30 (35J65 46E35 46F10 47N20)},
mrnumber = {1419319},
mrreviewer = {P. Szeptycki},
doi = {10.1515/9783110812411},
url = {https://doi.org/10.1515/9783110812411}
}
@Article{ russo.trutnau:07:some,
author = {Russo, Francesco and Trutnau, Gerald},
title = {Some parabolic {PDE}s whose drift is an irregular random
noise in space},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {6},
pages = {2213--2262},
issn = {0091-1798},
mrclass = {60H15 (35R60 60G48 60H10)},
mrnumber = {2353387},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/009117906000001178},
url = {https://doi.org/10.1214/009117906000001178}
}
@Article{ russo.tudor:06:on,
author = {Russo, Francesco and Tudor, Ciprian A.},
title = {On bifractional {B}rownian motion},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {116},
year = {2006},
number = {5},
pages = {830--856},
issn = {0304-4149,1879-209X},
mrclass = {60G15 (60H05)},
mrnumber = {2218338},
mrreviewer = {Ivan\ Nourdin},
doi = {10.1016/j.spa.2005.11.013},
url = {https://doi.org/10.1016/j.spa.2005.11.013}
}
@Article{ russo.vallois:93:forward,
author = {Russo, Francesco and Vallois, Pierre},
title = {Forward, backward and symmetric stochastic integration},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {97},
year = {1993},
number = {3},
pages = {403--421},
issn = {0178-8051},
mrclass = {60H05 (60H07 60H10)},
mrnumber = {1245252},
mrreviewer = {David Nualart},
doi = {10.1007/BF01195073},
url = {https://doi.org/10.1007/BF01195073}
}
@InCollection{ rvaceva:62:on,
author = {Rva\v{c}eva, E. L.},
title = {On domains of attraction of multi-dimensional
distributions},
booktitle = {Select. {T}ransl. {M}ath. {S}tatist. and {P}robability,
{V}ol. 2},
pages = {183--205},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1962},
mrclass = {60.20 (60.30)},
mrnumber = {150795}
}
@Article{ ryang.saito.ea:85:canonical,
author = {Ryang, Shijong and Saito, Takesi and Shigemoto, Kazuyasu},
title = {Canonical stochastic quantization},
journal = {Progr. Theoret. Phys.},
fjournal = {Progress of Theoretical Physics},
volume = {73},
year = {1985},
number = {5},
pages = {1295--1298},
issn = {0033-068X},
mrclass = {81C20 (81D07)},
mrnumber = {797369},
doi = {10.1143/PTP.73.1295},
url = {https://doi.org/10.1143/PTP.73.1295}
}
@Article{ rychkov:99:on,
author = {Rychkov, Vyacheslav S.},
title = {On restrictions and extensions of the {B}esov and
{T}riebel-{L}izorkin spaces with respect to {L}ipschitz
domains},
journal = {J. London Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second
Series},
volume = {60},
year = {1999},
number = {1},
pages = {237--257},
issn = {0024-6107},
mrclass = {46E35 (46F05)},
mrnumber = {1721827},
mrreviewer = {J. Horv\'{a}th},
doi = {10.1112/S0024610799007723},
url = {https://doi.org/10.1112/S0024610799007723}
}
@Article{ sabri.xu.ea:20:elucidating,
title = {Elucidating the Origin of Heterogeneous Anomalous
Diffusion in the Cytoplasm of Mammalian Cells},
author = {Sabri, Adal and Xu, Xinran and Krapf, Diego and Weiss,
Matthias},
journal = {Phys. Rev. Lett.},
volume = {125},
issue = {5},
pages = {058101},
numpages = {6},
year = {2020},
month = {Jul},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.125.058101},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.125.058101}
}
@Article{ sadhu.derrida:16:correlations,
author = {Sadhu, Tridib and Derrida, Bernard},
title = {Correlations of the density and of the current in
non-equilibrium diffusive systems},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2016},
number = {11},
pages = {113202, 29},
issn = {1742-5468},
mrclass = {82C22},
mrnumber = {3580974},
doi = {10.1088/1742-5468/2016/11/113202},
url = {https://doi.org/10.1088/1742-5468/2016/11/113202}
}
@Article{ safikhani.xiao:19:spectral,
author = {Safikhani, Abolfazl and Xiao, Yimin},
title = {Spectral conditions for equivalence of {G}aussian random
fields with stationary increments},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 8, 19},
issn = {1083-6489},
mrclass = {60G60 (62H11)},
mrnumber = {3916328},
mrreviewer = {Johannes\ T. N. Krebs},
doi = {10.1214/19-EJP270},
url = {https://doi.org/10.1214/19-EJP270}
}
@Book{ sagan:01:symmetric,
author = {Sagan, Bruce E.},
title = {The symmetric group},
series = {Graduate Texts in Mathematics},
volume = {203},
edition = {Second},
note = {Representations, combinatorial algorithms, and symmetric
functions},
publisher = {Springer-Verlag, New York},
year = {2001},
pages = {xvi+238},
isbn = {0-387-95067-2},
mrclass = {05E10 (05E05 20C30)},
mrnumber = {1824028},
doi = {10.1007/978-1-4757-6804-6},
url = {https://doi.org/10.1007/978-1-4757-6804-6}
}
@Article{ sagi.brook.ea:12:observation,
title = {Observation of Anomalous Diffusion and Fractional
Self-Similarity in One Dimension},
author = {Sagi, Yoav and Brook, Miri and Almog, Ido and Davidson,
Nir},
journal = {Phys. Rev. Lett.},
volume = {108},
issue = {9},
pages = {093002},
numpages = {4},
year = {2012},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.108.093002},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.108.093002}
}
@Article{ saichev.zaslavsky:97:fractional,
author = {Saichev, Alexander I. and Zaslavsky, George M.},
title = {Fractional kinetic equations: solutions and applications},
journal = {Chaos},
fjournal = {Chaos. An Interdisciplinary Journal of Nonlinear Science},
volume = {7},
year = {1997},
number = {4},
pages = {753--764},
issn = {1054-1500},
mrclass = {82C40 (58F40)},
mrnumber = {1604710},
doi = {10.1063/1.166272},
url = {https://doi.org/10.1063/1.166272}
}
@Article{ said-houari:22:global,
author = {Said-Houari, Belkacem},
title = {Global existence for the
{J}ordan-{M}oore-{G}ibson-{T}hompson equation in {B}esov
spaces},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {22},
year = {2022},
number = {2},
pages = {32},
issn = {1424-3199},
mrclass = {35L75 (35G25)},
mrnumber = {4408450},
doi = {10.1007/s00028-022-00788-5},
url = {https://doi.org/10.1007/s00028-022-00788-5}
}
@Article{ saint-loubert-bie:98:etude,
author = {Saint Loubert Bi\'{e}, Erwan},
title = {\'{E}tude d'une {EDPS} conduite par un bruit poissonnien},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {111},
year = {1998},
number = {2},
pages = {287--321},
issn = {0178-8051},
mrclass = {60H15 (35R60)},
mrnumber = {1633586},
mrreviewer = {Samy Tindel},
doi = {10.1007/s004400050169},
url = {https://doi.org/10.1007/s004400050169}
}
@Article{ saito.suzuki:05:notes,
author = {Saito, Norikazu and Suzuki, Takashi},
title = {Notes on finite difference schemes to a parabolic-elliptic
system modelling chemotaxis},
journal = {Appl. Math. Comput.},
fjournal = {Applied Mathematics and Computation},
volume = {171},
year = {2005},
number = {1},
pages = {72--90},
issn = {0096-3003},
mrclass = {92C17 (35K50 35Q80 65M06)},
mrnumber = {2192860},
doi = {10.1016/j.amc.2005.01.037},
url = {https://doi.org/10.1016/j.amc.2005.01.037}
}
@Article{ saito:07:conservative,
author = {Saito, Norikazu},
title = {Conservative upwind finite-element method for a simplified
{K}eller-{S}egel system modelling chemotaxis},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {27},
year = {2007},
number = {2},
pages = {332--365},
issn = {0272-4979},
mrclass = {65M15 (35K50 65M60 92C17)},
mrnumber = {2317007},
mrreviewer = {Andreas Veeser},
doi = {10.1093/imanum/drl018},
url = {https://doi.org/10.1093/imanum/drl018}
}
@InCollection{ saito:09:conservative,
author = {Saito, Norikazu},
title = {Conservative numerical schemes for the {K}eller-{S}egel
system and numerical results},
booktitle = {Mathematical analysis on the self-organization and
self-similarity},
series = {RIMS K\^{o}ky\^{u}roku Bessatsu, B15},
pages = {125--146},
publisher = {Res. Inst. Math. Sci. (RIMS), Kyoto},
year = {2009},
mrclass = {65M06 (35K51 35K55 65M60 92C17)},
mrnumber = {2664723},
mrreviewer = {Jos\'{e} Augusto Ferreira}
}
@Article{ saito:12:error,
author = {Saito, Norikazu},
title = {Error analysis of a conservative finite-element
approximation for the {K}eller-{S}egel system of
chemotaxis},
journal = {Commun. Pure Appl. Anal.},
fjournal = {Communications on Pure and Applied Analysis},
volume = {11},
year = {2012},
number = {1},
pages = {339--364},
issn = {1534-0392},
mrclass = {65M60 (35K51 65M15 92C17)},
mrnumber = {2833351},
mrreviewer = {B\"{u}lent Karas\"{o}zen},
doi = {10.3934/cpaa.2012.11.339},
url = {https://doi.org/10.3934/cpaa.2012.11.339}
}
@Article{ salako.shen.ea:19:can,
author = {Salako, Rachidi B. and Shen, Wenxian and Xue, Shuwen},
title = {Can chemotaxis speed up or slow down the spatial spreading
in parabolic-elliptic {K}eller-{S}egel systems with
logistic source?},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {79},
year = {2019},
number = {4},
pages = {1455--1490},
issn = {0303-6812,1432-1416},
mrclass = {92C17 (35B35 35B40 35K57 35M31 35Q92)},
mrnumber = {4019929},
doi = {10.1007/s00285-019-01400-0},
url = {https://doi.org/10.1007/s00285-019-01400-0}
}
@Article{ salako.shen:17:global,
author = {Salako, Rachidi Bolaji and Shen, Wenxian},
title = {Global existence and asymptotic behavior of classical
solutions to a parabolic-elliptic chemotaxis system with
logistic source on {$\Bbb R^N$}},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {262},
year = {2017},
number = {11},
pages = {5635--5690},
issn = {0022-0396,1090-2732},
mrclass = {35M31 (35A09 35B35 35B40 35K57 35Q92 92C17)},
mrnumber = {3620027},
doi = {10.1016/j.jde.2017.02.011},
url = {https://doi.org/10.1016/j.jde.2017.02.011}
}
@Article{ salako.shen:17:spreading,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Spreading speeds and traveling waves of a
parabolic-elliptic chemotaxis system with logistic source
on {$\Bbb R^N$}},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {37},
year = {2017},
number = {12},
pages = {6189--6225},
issn = {1078-0947,1553-5231},
mrclass = {35M31 (35B35 35B40 35C07 35K57 35Q92 92C17)},
mrnumber = {3690300},
doi = {10.3934/dcds.2017268},
url = {https://doi.org/10.3934/dcds.2017268}
}
@Article{ salako.shen:18:existence,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Existence of traveling wave solutions of
parabolic-parabolic chemotaxis systems},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {42},
year = {2018},
pages = {93--119},
issn = {1468-1218,1878-5719},
mrclass = {35K40 (35C07 35K59 35K92)},
mrnumber = {3773353},
doi = {10.1016/j.nonrwa.2017.12.004},
url = {https://doi.org/10.1016/j.nonrwa.2017.12.004}
}
@Article{ salako.shen:18:parabolic-elliptic,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Parabolic-elliptic chemotaxis model with
space-time-dependent logistic sources on {$\Bbb{R}^N$}.
{I}. {P}ersistence and asymptotic spreading},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {28},
year = {2018},
number = {11},
pages = {2237--2273},
issn = {0218-2025,1793-6314},
mrclass = {92C17 (35B35 35B40 35K57 35M31 35Q92)},
mrnumber = {3864868},
doi = {10.1142/S0218202518400146},
url = {https://doi.org/10.1142/S0218202518400146}
}
@Article{ salako.shen:18:parabolic-elliptic*1,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Parabolic-elliptic chemotaxis model with space-time
dependent logistic sources on {$\Bbb{R}^N$}. {II}.
{E}xistence, uniqueness, and stability of strictly positive
entire solutions},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {464},
year = {2018},
number = {1},
pages = {883--910},
issn = {0022-247X,1096-0813},
mrclass = {35Q92 (35M31 92C17)},
mrnumber = {3794120},
doi = {10.1016/j.jmaa.2018.04.034},
url = {https://doi.org/10.1016/j.jmaa.2018.04.034}
}
@Article{ salako.shen:19:global,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Global classical solutions, stability of constant
equilibria, and spreading speeds in attraction-repulsion
chemotaxis systems with logistic source on {$\Bbb R^N$}},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {31},
year = {2019},
number = {3},
pages = {1301--1325},
issn = {1040-7294,1572-9222},
mrclass = {92C17 (35B35 35B40 35K57 35M33 35Q92)},
mrnumber = {3992073},
doi = {10.1007/s10884-017-9602-6},
url = {https://doi.org/10.1007/s10884-017-9602-6}
}
@Article{ salako.shen:19:long-time,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Long-time behavior of random and nonautonomous
{F}isher-{KPP} equations. {P}art {II}. {T}ransition
fronts},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {19},
year = {2019},
number = {6},
pages = {1950046, 31},
issn = {0219-4937,1793-6799},
mrclass = {35R60 (35B35 35B40 35K57 35K91 35Q92 92C17)},
mrnumber = {4033005},
mrreviewer = {Isamu\ D\^{o}ku},
doi = {10.1142/S0219493719500461},
url = {https://doi.org/10.1142/S0219493719500461}
}
@Article{ salako.shen:20:existence,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Existence of traveling wave solutions to
parabolic-elliptic-elliptic chemotaxis systems with
logistic source},
journal = {Discrete Contin. Dyn. Syst. Ser. S},
fjournal = {Discrete and Continuous Dynamical Systems. Series S},
volume = {13},
year = {2020},
number = {2},
pages = {293--319},
issn = {1937-1632,1937-1179},
mrclass = {35M30 (35B35 35B40 35C07 35K57 35Q92 92C17)},
mrnumber = {4043695},
doi = {10.3934/dcdss.2020017},
url = {https://doi.org/10.3934/dcdss.2020017}
}
@Article{ salako.shen:20:traveling,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Traveling wave solutions for fully parabolic
{K}eller-{S}egel chemotaxis systems with a logistic
source},
journal = {Electron. J. Differential Equations},
fjournal = {Electronic Journal of Differential Equations},
year = {2020},
pages = {Paper No. 53, 18},
issn = {1072-6691},
mrclass = {35K51 (35B35 35B40 35C07 35K57 35Q92 92C17)},
mrnumber = {4113451}
}
@Article{ salako.shen:21:long,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Long time behavior of random and nonautonomous
{F}isher-{KPP} equations: {P}art {I}---{S}tability of
equilibria and spreading speeds},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {33},
year = {2021},
number = {2},
pages = {1035--1070},
issn = {1040-7294,1572-9222},
mrclass = {35B35 (35B40 35K57 35Q92 92C17)},
mrnumber = {4248645},
doi = {10.1007/s10884-020-09847-2},
url = {https://doi.org/10.1007/s10884-020-09847-2}
}
@Article{ salako.shen:22:parabolic-elliptic,
author = {Salako, Rachidi B. and Shen, Wenxian},
title = {Parabolic-elliptic chemotaxis model with space-time
dependent logistic sources on {$\Bbb{R}^N$}. {III}:
{T}ransition fronts},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {34},
year = {2022},
number = {1},
pages = {209--238},
issn = {1040-7294,1572-9222},
mrclass = {35B35 (35B40 35K57 35Q92 92C17)},
mrnumber = {4383287},
doi = {10.1007/s10884-020-09901-z},
url = {https://doi.org/10.1007/s10884-020-09901-z}
}
@Article{ salako.shen:23:corrigendum,
author = {Salako, R. B. and Shen, Wenxian},
title = {Corrigendum: {G}lobal existence and asymptotic behavior of
classical solutions to a parabolic-elliptic chemotaxis
system with logistic source on {$\Bbb{R}^N$} [{J}.
{D}iffer. {E}qu. 262 (2017) 5635--5690]},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {376},
year = {2023},
pages = {773--775},
issn = {0022-0396,1090-2732},
mrclass = {35M31 (35A09 35B35 35B40 35K57 35Q92 92C17)},
mrnumber = {4657294},
doi = {10.1016/j.jde.2023.09.017},
url = {https://doi.org/10.1016/j.jde.2023.09.017}
}
@Article{ salins.budhiraja.ea:19:uniform,
author = {Salins, Michael and Budhiraja, Amarjit and Dupuis, Paul},
title = {Uniform large deviation principles for {B}anach space
valued stochastic evolution equations},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {372},
year = {2019},
number = {12},
pages = {8363--8421},
issn = {0002-9947},
mrclass = {60F10 (35R60 60H15)},
mrnumber = {4029700},
mrreviewer = {Stefano Bonaccorsi},
doi = {10.1090/tran/7872},
url = {https://doi.org/10.1090/tran/7872}
}
@Article{ salins.setayeshgar:23:uniform,
author = {Salins, Michael and Setayeshgar, Leila},
title = {Uniform large deviations for a class of {B}urgers-type
stochastic partial differential equations in any space
dimension},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {58},
year = {2023},
number = {1},
pages = {181--201},
issn = {0926-2601,1572-929X},
mrclass = {60H15 (37L55 60F10)},
mrnumber = {4535922},
mrreviewer = {Yong\ Liu},
doi = {10.1007/s11118-021-09936-x},
url = {https://doi.org/10.1007/s11118-021-09936-x}
}
@Article{ salins.spiliopoulos:17:markov,
author = {Salins, Michael and Spiliopoulos, Konstantinos},
title = {Markov processes with spatial delay: path space
characterization, occupation time and properties},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {17},
year = {2017},
number = {6},
pages = {1750042, 21},
issn = {0219-4937},
mrclass = {60J60 (60G17 60H10 60J55 60J65)},
mrnumber = {3685635},
doi = {10.1142/S0219493717500423},
url = {https://doi.org/10.1142/S0219493717500423}
}
@Article{ salins.spiliopoulos:17:rare,
author = {Salins, Michael and Spiliopoulos, Konstantinos},
title = {Rare event simulation via importance sampling for linear
{SPDE}'s},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {5},
year = {2017},
number = {4},
pages = {652--690},
issn = {2194-0401},
mrclass = {60H15 (35K20 35R60 60F10)},
mrnumber = {3736657},
doi = {10.1007/s40072-017-0100-y},
url = {https://doi.org/10.1007/s40072-017-0100-y}
}
@Article{ salins.spiliopoulos:21:metastability,
author = {Salins, Michael and Spiliopoulos, Konstantinos},
title = {Metastability and exit problems for systems of stochastic
reaction-diffusion equations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {5},
pages = {2317--2370},
issn = {0091-1798},
mrclass = {60F10 (35R60 60G40 60H15)},
mrnumber = {4317706},
doi = {10.1214/21-aop1509},
url = {https://doi.org/10.1214/21-aop1509}
}
@Article{ salins.tindel:24:regularity,
author = {Salins, Michael and Tindel, Samy},
title = {Regularity of the law of solutions to the stochastic heat
equation with non-{L}ipschitz reaction term},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {168},
year = {2024},
pages = {Paper No. 104263, 24},
issn = {0304-4149,1879-209X},
mrclass = {60H15},
mrnumber = {4672201},
mrreviewer = {Stefano\ Bonaccorsi},
doi = {10.1016/j.spa.2023.104263},
url = {https://doi.org/10.1016/j.spa.2023.104263}
}
@Book{ salins:15:asymptotic,
author = {Salins, Michael},
title = {Asymptotic problems for stochastic partial differential
equations},
note = {Thesis (Ph.D.)--University of Maryland, College Park},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2015},
pages = {141},
isbn = {978-1321-88288-9},
mrclass = {Thesis},
mrnumber = {3407420},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3711843}
}
@Article{ salins:19:equivalences,
author = {Salins, Michael},
title = {Equivalences and counterexamples between several
definitions of the uniform large deviations principle},
journal = {Probab. Surv.},
fjournal = {Probability Surveys},
volume = {16},
year = {2019},
pages = {99--142},
mrclass = {60F10 (60H15)},
mrnumber = {3960292},
mrreviewer = {Leila Setayeshgar},
doi = {10.1214/18-PS309},
url = {https://doi.org/10.1214/18-PS309}
}
@Article{ salins:19:smoluchowski-kramers,
author = {Salins, Michael},
title = {Smoluchowski-{K}ramers approximation for the damped
stochastic wave equation with multiplicative noise in any
spatial dimension},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {7},
year = {2019},
number = {1},
pages = {86--122},
issn = {2194-0401},
mrclass = {60H15 (35L20 35L71 35R60)},
mrnumber = {3916264},
mrreviewer = {David Nualart},
doi = {10.1007/s40072-018-0123-z},
url = {https://doi.org/10.1007/s40072-018-0123-z}
}
@Article{ salins:21:existence,
author = {Salins, M.},
title = {Existence and uniqueness for the mild solution of the
stochastic heat equation with non-{L}ipschitz drift on an
unbounded spatial domain},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {9},
year = {2021},
number = {3},
pages = {714--745},
issn = {2194-0401},
mrclass = {35R60},
mrnumber = {4297238},
mrreviewer = {Eszter Sikolya},
doi = {10.1007/s40072-020-00182-7},
url = {https://doi.org/10.1007/s40072-020-00182-7}
}
@Article{ salins:21:global,
title = {Global solutions to the stochastic heat equation with
superlinear accretive reaction term and superlinear
multiplicative noise term on a bounded spatial domain},
author = {Michael Salins},
year = {2021},
month = {October},
journal = {Preprint arXiv:2110.10130},
url = {https://www.arxiv.org/abs/2110.10130}
}
@Article{ salins:21:systems,
author = {Salins, M.},
title = {Systems of small-noise stochastic reaction-diffusion
equations satisfy a large deviations principle that is
uniform over all initial data},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {142},
year = {2021},
pages = {159--194},
issn = {0304-4149},
mrclass = {60H15 (60F10)},
mrnumber = {4314097},
doi = {10.1016/j.spa.2021.08.010},
url = {https://doi.org/10.1016/j.spa.2021.08.010}
}
@Article{ salins:22:existence,
author = {Salins, Michael},
title = {Existence and uniqueness of global solutions to the
stochastic heat equation with superlinear drift on an
unbounded spatial domain},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {22},
year = {2022},
number = {5},
pages = {Paper No. 2250014, 30},
issn = {0219-4937},
mrclass = {35R60 (60H15)},
mrnumber = {4486234},
doi = {10.1142/S0219493722500149},
url = {https://doi.org/10.1142/S0219493722500149}
}
@Article{ salins:22:global,
author = {Salins, Michael},
title = {Global solutions for the stochastic reaction-diffusion
equation with super-linear multiplicative noise and strong
dissipativity},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {27},
year = {2022},
pages = {Paper No. 12, 17},
mrclass = {60H15 (35R60)},
mrnumber = {4372099},
doi = {10.1214/22-ejp740},
url = {https://doi.org/10.1214/22-ejp740}
}
@Article{ salins:22:global*1,
author = {Salins, Michael},
title = {Global solutions to the stochastic reaction-diffusion
equation with superlinear accretive reaction term and
superlinear multiplicative noise term on a bounded spatial
domain},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {375},
year = {2022},
number = {11},
pages = {8083--8099},
issn = {0002-9947},
mrclass = {60H15},
mrnumber = {4491446},
doi = {10.1090/tran/8763},
url = {https://doi.org/10.1090/tran/8763}
}
@Article{ salins:25:solutions,
author = {Salins, Michael},
title = {Solutions to the stochastic heat equation with
polynomially growing multiplicative noise do not explode in
the critical regime},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {53},
year = {2025},
number = {1},
pages = {223--238},
issn = {0091-1798,2168-894X},
mrclass = {60H15},
mrnumber = {4852006},
doi = {10.1214/24-aop1704},
url = {https://doi.org/10.1214/24-aop1704}
}
@InCollection{ saloff-coste:10:heat,
author = {Saloff-Coste, Laurent},
title = {The heat kernel and its estimates},
booktitle = {Probabilistic approach to geometry},
series = {Adv. Stud. Pure Math.},
volume = {57},
pages = {405--436},
publisher = {Math. Soc. Japan, Tokyo},
year = {2010},
mrclass = {58J35 (35K08 58J65 60J65)},
mrnumber = {2648271},
mrreviewer = {Thierry Coulhon},
doi = {10.2969/aspm/05710405},
url = {https://doi.org/10.2969/aspm/05710405}
}
@Article{ saloff-coste:92:note,
author = {Saloff-Coste, Laurent},
title = {A note on {P}oincar\'{e}, {S}obolev, and {H}arnack
inequalities},
journal = {Internat. Math. Res. Notices},
fjournal = {International Mathematics Research Notices},
year = {1992},
number = {2},
pages = {27--38},
issn = {1073-7928},
mrclass = {58G11 (31C12 35B05)},
mrnumber = {1150597},
mrreviewer = {Thierry Coulhon},
doi = {10.1155/S1073792892000047},
url = {https://doi.org/10.1155/S1073792892000047}
}
@Book{ samarskii.galaktionov.ea:95:blow-up,
author = {Samarskii, Alexander A. and Galaktionov, Victor A. and
Kurdyumov, Sergei P. and Mikhailov, Alexander P.},
title = {Blow-up in quasilinear parabolic equations},
series = {De Gruyter Expositions in Mathematics},
volume = {19},
note = {Translated from the 1987 Russian original by Michael
Grinfeld and revised by the authors},
publisher = {Walter de Gruyter \& Co., Berlin},
year = {1995},
pages = {xxii+535},
isbn = {3-11-012754-7},
mrclass = {35-02 (35Bxx 35K55)},
mrnumber = {1330922},
doi = {10.1515/9783110889864.535},
url = {https://doi.org/10.1515/9783110889864.535}
}
@Article{ samarskiui.sobol:63:examples,
author = {Samarskiu{i}, A. A. and Sobol{\cprime}, I. M.},
title = {Examples of numerical calculation of temperature waves},
journal = {\v{Z}. Vy\v{c}isl. Mat i Mat. Fiz.},
fjournal = {\v{Z}urnal Vy\v{c}islitel{\cprime}nou{i} Matematiki i
Matemati\v{c}eskou{i} Fiziki},
volume = {3},
year = {1963},
pages = {702--719},
issn = {0044-4669},
mrclass = {65.68},
mrnumber = {153120},
mrreviewer = {R. Carroll}
}
@Book{ samko.kilbas.ea:93:fractional,
author = {Samko, Stefan G. and Kilbas, Anatoly A. and Marichev, Oleg
I.},
title = {Fractional integrals and derivatives},
note = {Theory and applications, Edited and with a foreword by S.
M. Nikol{\cprime}skiu{i}, Translated from the 1987 Russian
original, Revised by the authors},
publisher = {Gordon and Breach Science Publishers, Yverdon},
year = {1993},
pages = {xxxvi+976},
isbn = {2-88124-864-0},
mrclass = {26A33},
mrnumber = {1347689}
}
@Article{ samoilenko.stanzhytskyi.ea:12:on,
author = {Samoilenko, A. M. and Stanzhyts'kyi, O. M. and Novak, I.
H.},
title = {On asymptotic equivalence of solutions of stochastic and
ordinary equations},
journal = {Ukrainian Math. J.},
fjournal = {Ukrainian Mathematical Journal},
volume = {63},
year = {2012},
number = {8},
pages = {1268--1297},
issn = {0041-5995},
mrclass = {60H10 (34C41)},
mrnumber = {3109652},
doi = {10.1007/s11253-012-0577-5},
url = {https://doi.org/10.1007/s11253-012-0577-5}
}
@Book{ samoilenko.stanzhytskyi:11:qualitative,
author = {Samoilenko, Anatoliy M. and Stanzhytskyi, Oleksandr},
title = {Qualitative and asymptotic analysis of differential
equations with random perturbations},
series = {World Scientific Series on Nonlinear Science. Series A:
Monographs and Treatises},
volume = {78},
publisher = {World Scientific Publishing Co. Pte. Ltd., Hackensack,
NJ},
year = {2011},
pages = {x+312},
isbn = {978-981-4329-06-4; 981-4329-06-1},
mrclass = {60H25 (37H10 60H10)},
mrnumber = {2829538},
mrreviewer = {Pedro Mar\'{\i}n Rubio},
doi = {10.1142/9789814329071},
url = {https://doi.org/10.1142/9789814329071}
}
@Book{ samorodnitsky.taqqu:94:stable,
author = {Samorodnitsky, Gennady and Taqqu, Murad S.},
title = {Stable non-{G}aussian random processes},
series = {Stochastic Modeling},
note = {Stochastic models with infinite variance},
publisher = {Chapman \& Hall, New York},
year = {1994},
pages = {xxii+632},
isbn = {0-412-05171-0},
mrclass = {60E07 (60G18 60G99 60H99 62J05 62M10 62M15)},
mrnumber = {1280932},
mrreviewer = {Thomas Mikosch}
}
@Article{ samson:00:concentration,
author = {Samson, Paul-Marie},
title = {Concentration of measure inequalities for {M}arkov chains
and {$\Phi$}-mixing processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {28},
year = {2000},
number = {1},
pages = {416--461},
issn = {0091-1798},
mrclass = {60E15 (60J05)},
mrnumber = {1756011},
doi = {10.1214/aop/1019160125},
url = {https://doi.org/10.1214/aop/1019160125}
}
@Article{ sang.xiao:18:exact,
author = {Sang, Hailin and Xiao, Yimin},
title = {Exact moderate and large deviations for linear random
fields},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {55},
year = {2018},
number = {2},
pages = {431--449},
issn = {0021-9002,1475-6072},
mrclass = {60F10 (60G60 62E20)},
mrnumber = {3832897},
mrreviewer = {Fr\'{e}d\'{e}ric\ Ouimet},
doi = {10.1017/jpr.2018.28},
url = {https://doi.org/10.1017/jpr.2018.28}
}
@Article{ santalla.ferreira:18:eden,
title = {Eden model with nonlocal growth rules and kinetic
roughening in biological systems},
author = {Santalla, Silvia N. and Ferreira, Silvio C.},
journal = {Phys. Rev. E},
volume = {98},
issue = {2},
pages = {022405},
numpages = {7},
year = {2018},
month = {Aug},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.98.022405},
url = {https://link.aps.org/doi/10.1103/PhysRevE.98.022405}
}
@Article{ sanz-i-sole:92:combining,
author = {Sanz i Sol\'{e}, Marta},
title = {Combining observations and measuring uncertainty: history
of an attempt to understand the world better},
journal = {Butl. Soc. Catalana Mat.},
fjournal = {Butllet\'{i} de la Societat Catalana de Matem\`atiques},
number = {7},
year = {1992},
pages = {35--46},
issn = {0214-316X},
mrclass = {01A05 (62-03)},
mrnumber = {1209915}
}
@Article{ sanz-sole.atiyah.ea:12:friedrich,
author = {Sanz-Sol\'{e}, Marta and Atiyah, Michael and B\"{a}r,
Christian and Greuel, Gert-Martin and Manin, Yuri I. and
Bourguignon, Jean-Pierre},
title = {Friedrich {H}irzebruch memorial session at the 6th
{E}uropean {C}ongress of {M}athematics. {K}rak\'{o}w,
{J}uly 5th, 2012},
journal = {Eur. Math. Soc. Newsl.},
fjournal = {European Mathematical Society. Newsletter},
number = {85},
year = {2012},
pages = {12--20},
issn = {1027-488X},
mrclass = {01A70},
mrnumber = {2986335}
}
@Article{ sanz-sole.malliavin:08:smoothness,
author = {Sanz-Sol\'{e}, Marta and Malliavin, Paul},
title = {Smoothness of the functional law generated by a nonlinear
{SPDE}},
journal = {Chin. Ann. Math. Ser. B},
fjournal = {Chinese Annals of Mathematics. Series B},
volume = {29},
year = {2008},
number = {2},
pages = {113--120},
issn = {0252-9599},
mrclass = {60H15 (60H07)},
mrnumber = {2392327},
mrreviewer = {Mark A. McKibben},
doi = {10.1007/s11401-007-0508-1},
url = {https://doi.org/10.1007/s11401-007-0508-1}
}
@InCollection{ sanz-sole.sarra:00:path,
author = {Sanz-Sol\'{e}, Marta and Sarr\`a, M\`onica},
title = {Path properties of a class of {G}aussian processes with
applications to spde's},
booktitle = {Stochastic processes, physics and geometry: new
interplays, {I} ({L}eipzig, 1999)},
series = {CMS Conf. Proc.},
volume = {28},
pages = {303--316},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {60H15},
mrnumber = {1803395},
mrreviewer = {Nicholas Frangos},
doi = {10.1016/s0304-4149(98)00092-1},
url = {https://doi.org/10.1016/s0304-4149(98)00092-1}
}
@InCollection{ sanz-sole.sarra:02:holder,
author = {Sanz-Sol\'{e}, Marta and Sarr\`a, M\`onica},
title = {H\"{o}lder continuity for the stochastic heat equation
with spatially correlated noise},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications, {III} ({A}scona, 1999)},
series = {Progr. Probab.},
volume = {52},
pages = {259--268},
publisher = {Birkh\"{a}user, Basel},
year = {2002},
mrclass = {60H15},
mrnumber = {1958822},
mrreviewer = {Achim Klenke}
}
@Article{ sanz-sole.sarra:99:logarithmic,
author = {Sanz-Sol\'{e}, Marta and Sarr\`a, M\`onica},
title = {Logarithmic estimates for the density of an anticipating
stochastic differential equation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {79},
year = {1999},
number = {2},
pages = {301--321},
issn = {0304-4149},
mrclass = {60H10 (60H07)},
mrnumber = {1671855},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1016/S0304-4149(98)00092-1},
url = {https://doi.org/10.1016/S0304-4149(98)00092-1}
}
@Article{ sanz-sole.su:13:stochastic,
author = {Sanz-Sol\'{e}, Marta and S\"{u}\ss , Andr\'{e}},
title = {The stochastic wave equation in high dimensions:
{M}alliavin differentiability and absolute continuity},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {18},
year = {2013},
pages = {no. 64, 28},
mrclass = {60H15 (60H05 60H07)},
mrnumber = {3078023},
mrreviewer = {Jorge A. Le\'{o}n},
doi = {10.1214/EJP.v18-2341},
url = {https://doi.org/10.1214/EJP.v18-2341}
}
@InCollection{ sanz-sole.su:14:logarithmic,
author = {Sanz-Sol\'{e}, Marta and S\"{u}\ss , Andr\'{e}},
title = {Logarithmic asymptotics of the densities of {SPDE}s driven
by spatially correlated noise},
booktitle = {Stochastic analysis and applications 2014},
series = {Springer Proc. Math. Stat.},
volume = {100},
pages = {455--501},
publisher = {Springer, Cham},
year = {2014},
mrclass = {60H15 (60F10 60H07)},
mrnumber = {3332722},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1007/978-3-319-11292-3\_16},
url = {https://doi.org/10.1007/978-3-319-11292-3_16}
}
@Article{ sanz-sole.su:15:absolute,
author = {Sanz-Sol\'{e}, Marta and S\"{u}\ss , Andr\'{e}},
title = {Absolute continuity for {SPDE}s with irregular fundamental
solution},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {20},
year = {2015},
pages = {no. 14, 11},
mrclass = {60H15 (60H05 60H07 60H20)},
mrnumber = {3314649},
mrreviewer = {Yaozhong Hu},
doi = {10.1214/ECP.v20-3831},
url = {https://doi.org/10.1214/ECP.v20-3831}
}
@InCollection{ sanz-sole.su:16:non-elliptic,
author = {Sanz-Sol\'{e}, Marta and S\"{u}\ss , Andr\'{e}},
title = {Non-elliptic {SPDE}s and ambit fields: existence of
densities},
booktitle = {Stochastics of environmental and financial
economics---{C}entre of {A}dvanced {S}tudy, {O}slo,
{N}orway, 2014--2015},
series = {Springer Proc. Math. Stat.},
volume = {138},
pages = {121--144},
publisher = {Springer, Cham},
year = {2016},
mrclass = {60H15 (35R60 60G57 60H07)},
mrnumber = {3451171},
mrreviewer = {Xiaobin Sun},
doi = {10.1007/978-3-319-23425-0\_5},
url = {https://doi.org/10.1007/978-3-319-23425-0_5}
}
@Article{ sanz-sole.torrecilla-tarantino:07:probability,
author = {Sanz-Sol\'{e}, Marta and Torrecilla-Tarantino, Iv\'{a}n},
title = {Probability density for a hyperbolic {SPDE} with time
dependent coefficients},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {11},
year = {2007},
pages = {365--380},
issn = {1292-8100},
mrclass = {60H15 (60G60 60H07)},
mrnumber = {2339298},
mrreviewer = {Erika Hausenblas},
doi = {10.1051/ps:2007024},
url = {https://doi.org/10.1051/ps:2007024}
}
@Article{ sanz-sole.torrecilla:09:fractional,
author = {Sanz-Sol\'{e}, Marta and Torrecilla, Iv\'{a}n},
title = {A fractional {P}oisson equation: existence, regularity and
approximations of the solution},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {9},
year = {2009},
number = {4},
pages = {519--548},
issn = {0219-4937},
mrclass = {60H15 (60H35)},
mrnumber = {2589036},
mrreviewer = {Gon\c{c}alo Dos Reis},
doi = {10.1142/S0219493709002762},
url = {https://doi.org/10.1142/S0219493709002762}
}
@Article{ sanz-sole.viles:18:systems,
author = {Sanz-Sol\'{e}, Marta and Viles, No\`elia},
title = {Systems of stochastic {P}oisson equations: hitting
probabilities},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {128},
year = {2018},
number = {6},
pages = {1857--1888},
issn = {0304-4149},
mrclass = {60H15 (60G15 60G60 60H07 60J45)},
mrnumber = {3797647},
doi = {10.1016/j.spa.2017.08.014},
url = {https://doi.org/10.1016/j.spa.2017.08.014}
}
@Article{ sanz-sole.vuillermot:02:holder-sobolev,
author = {Sanz-Sol\'{e}, Marta and Vuillermot, Pierre-A.},
title = {H\"{o}lder-{S}obolev regularity of solutions to a class of
{SPDE}'s driven by a spatially colored noise},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {334},
year = {2002},
number = {10},
pages = {869--874},
issn = {1631-073X},
mrclass = {60H15 (35B65 35R60)},
mrnumber = {1909930},
mrreviewer = {Sergey V. Lototsky},
doi = {10.1016/S1631-073X(02)02359-2},
url = {https://doi.org/10.1016/S1631-073X(02)02359-2}
}
@Article{ sanz-sole.vuillermot:03:equivalence,
author = {Sanz-Sol\'{e}, Marta and Vuillermot, Pierre-A.},
title = {Equivalence and {H}\"{o}lder-{S}obolev regularity of
solutions for a class of non-autonomous stochastic partial
differential equations},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {39},
year = {2003},
number = {4},
pages = {703--742},
issn = {0246-0203},
mrclass = {60H15 (35B65 35R60 60H40)},
mrnumber = {1983176},
mrreviewer = {Nicholas Frangos},
doi = {10.1016/S0246-0203(03)00015-3},
url = {https://doi.org/10.1016/S0246-0203(03)00015-3}
}
@Article{ sanz-sole.vuillermot:09:mild,
author = {Sanz-Sol\'{e}, Marta and Vuillermot, Pierre A.},
title = {Mild solutions for a class of fractional {SPDE}s and their
sample paths},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {9},
year = {2009},
number = {2},
pages = {235--265},
issn = {1424-3199},
mrclass = {60H15 (60G17 60G18 60G22 60H07)},
mrnumber = {2511552},
mrreviewer = {Hong Xue},
doi = {10.1007/s00028-009-0014-x},
url = {https://doi.org/10.1007/s00028-009-0014-x}
}
@InCollection{ sanz-sole:02:applications,
author = {Sanz-Sol\'{e}, Marta},
title = {Applications of {M}alliavin calculus to {SPDE}'s},
booktitle = {Stochastic partial differential equations and applications
({T}rento, 2002)},
series = {Lecture Notes in Pure and Appl. Math.},
volume = {227},
pages = {429--442},
publisher = {Dekker, New York},
year = {2002},
mrclass = {60H07 (60H15)},
mrnumber = {1919522}
}
@Book{ sanz-sole:05:malliavin,
author = {Sanz-Sol\'{e}, Marta},
title = {Malliavin calculus},
series = {Fundamental Sciences},
note = {With applications to stochastic partial differential
equations},
publisher = {EPFL Press, Lausanne; distributed by CRC Press, Boca
Raton, FL},
year = {2005},
pages = {viii+162},
isbn = {2-940222-06-1; 0-8493-4030-6},
mrclass = {60-02 (60H07 60H15)},
mrnumber = {2167213},
mrreviewer = {Samy Tindel}
}
@Article{ sanz-sole:08:properties,
author = {Sanz-Sol\'{e}, Marta},
title = {Properties of the density for a three-dimensional
stochastic wave equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {255},
year = {2008},
number = {1},
pages = {255--281},
issn = {0022-1236},
mrclass = {60H15 (35L15 35R60 60H05 60H07)},
mrnumber = {2417817},
mrreviewer = {Nicolas Saintier},
doi = {10.1016/j.jfa.2008.04.004},
url = {https://doi.org/10.1016/j.jfa.2008.04.004}
}
@Article{ sanz-sole:10:hitting,
author = {Sanz-Sol\'{e}, Marta},
title = {Hitting the bull's eye with random paths},
journal = {Butl. Soc. Catalana Mat.},
fjournal = {Butllet\'{i} de la Societat Catalana de Matem\`atiques},
volume = {25},
year = {2010},
number = {1},
pages = {81--99, 103},
issn = {0214-316X},
mrclass = {60H15 (60G15 60G17 60G46 60G60 60J45)},
mrnumber = {2731272},
mrreviewer = {Llu\'{i}s Quer-Sardanyons}
}
@Article{ sanz-sole:13:friedrich,
author = {Sanz-Sol\'{e}, Marta},
title = {Friedrich {H}irzebruch, 1927--2012, first president of the
{E}uropean {M}athematical {S}ociety},
journal = {SCM Not.},
fjournal = {SCM Not\'{i}cies},
number = {33},
year = {2013},
pages = {12--13},
issn = {1696-8247},
mrclass = {01A70},
mrnumber = {3115161}
}
@Article{ sanz-sole:19:from,
author = {Sanz-Sol\'{e}, Marta},
title = {From gambling to random modelling},
journal = {Lond. Math. Soc. Newsl.},
fjournal = {London Mathematical Society. Newsletter},
number = {482},
year = {2019},
pages = {20--24},
issn = {2516-3841},
mrclass = {60H30 (60-03)},
mrnumber = {3964968}
}
@Article{ sanz-sole:78:stochastic,
author = {Sanz Sol\'{e}, Marta},
title = {Stochastic differential calculus for processes with
{$n$}-dimensional parameter},
journal = {Stochastica},
fjournal = {Stochastica},
volume = {2},
year = {1978},
number = {4},
pages = {51--70},
issn = {0210-7821},
mrclass = {60G60 (60H15)},
mrnumber = {562434},
mrreviewer = {Dominique L\'{e}pingle}
}
@Article{ sanz-sole:86:some,
author = {Sanz-Sol\'{e}, Marta},
title = {Some remarks on stochastic differential equations in the
plane with local {L}ipschitz coefficients},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {4},
year = {1986},
number = {6},
pages = {343--348},
issn = {0167-7152},
mrclass = {60H20},
mrnumber = {858329},
mrreviewer = {Constantin Tudor},
doi = {10.1016/0167-7152(86)90056-8},
url = {https://doi.org/10.1016/0167-7152(86)90056-8}
}
@Article{ sanz:88:local,
author = {Sanz, Marta},
title = {Local time for two-parameter continuous martingales with
respect to the quadratic variation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {16},
year = {1988},
number = {2},
pages = {778--792},
issn = {0091-1798},
mrclass = {60G44 (60G48 60H99 60J55)},
mrnumber = {929078},
mrreviewer = {Peter Imkeller},
url = {http://links.jstor.org/sici?sici=0091-1798(198804)16:2<778:LTFTCM>2.0.CO;2-9&origin=MSN}
}
@Article{ sanz:89:r-variations,
author = {Sanz, Marta},
title = {{$r$}-variations for two-parameter continuous martingales
and {I}t\^{o}'s formula},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {32},
year = {1989},
number = {1},
pages = {69--92},
issn = {0304-4149},
mrclass = {60G44 (60G60 60H05)},
mrnumber = {1008909},
mrreviewer = {Yu. S. Mishura},
doi = {10.1016/0304-4149(89)90054-9},
url = {https://doi.org/10.1016/0304-4149(89)90054-9}
}
@Article{ saporta-katz.efrati:19:self-driven,
title = {Self-Driven Fractional Rotational Diffusion of the
Harmonic Three-Mass System},
author = {Saporta Katz, Ori and Efrati, Efi},
journal = {Phys. Rev. Lett.},
volume = {122},
issue = {2},
pages = {024102},
numpages = {6},
year = {2019},
month = {Jan},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.122.024102},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.024102}
}
@Article{ sarantsev.tsai:17:stationary,
author = {Sarantsev, Andrey and Tsai, Li-Cheng},
title = {Stationary gap distributions for infinite systems of
competing {B}rownian particles},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {22},
year = {2017},
pages = {Paper No. 56, 20},
mrclass = {60H10 (60J60 60K35)},
mrnumber = {3672832},
doi = {10.1214/17-EJP78},
url = {https://doi.org/10.1214/17-EJP78}
}
@Article{ sardiu.alves.ea:05:score,
author = {Sardiu, Mihaela E. and Alves, Gelio and Yu, Yi-Kuo},
title = {Score statistics of global sequence alignment from the
energy distribution of a modified directed polymer and
directed percolation problem},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {72},
year = {2005},
number = {6},
pages = {061917, 21},
issn = {1539-3755},
mrclass = {92D20 (82C43 82D60)},
mrnumber = {2203644},
doi = {10.1103/PhysRevE.72.061917},
url = {https://doi.org/10.1103/PhysRevE.72.061917}
}
@Article{ sarkar.virag:21:brownian,
author = {Sarkar, Sourav and Vir\'{a}g, B\'{a}lint},
title = {Brownian absolute continuity of the {KPZ} fixed point with
arbitrary initial condition},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {4},
pages = {1718--1737},
issn = {0091-1798},
mrclass = {82C22 (60H15 82C43)},
mrnumber = {4260466},
mrreviewer = {Yu-Ting Chen},
doi = {10.1214/20-aop1491},
url = {https://doi.org/10.1214/20-aop1491}
}
@Article{ sasaki:65:on,
author = {Sasaki, Morio},
title = {On the isomorphism problem of certain semigroups
constructed from indexed groups},
journal = {Proc. Japan Acad.},
fjournal = {Proceedings of the Japan Academy},
volume = {41},
year = {1965},
pages = {763--766},
issn = {0021-4280},
mrclass = {20.92},
mrnumber = {197604},
mrreviewer = {T. Tamura},
url = {http://projecteuclid.org/euclid.pja/1195522240}
}
@Article{ sasamoto.spohn:09:superdiffusivity,
author = {Sasamoto, Tomohiro and Spohn, Herbert},
title = {Superdiffusivity of the 1{D} lattice
{K}ardar-{P}arisi-{Z}hang equation},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {137},
year = {2009},
number = {5-6},
pages = {917--935},
issn = {0022-4715},
mrclass = {82C20 (60K35 82C21 82C22)},
mrnumber = {2570756},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1007/s10955-009-9831-0},
url = {https://doi.org/10.1007/s10955-009-9831-0}
}
@Article{ sasamoto.spohn:10:crossover,
author = {Sasamoto, Tomohiro and Spohn, Herbert},
title = {The crossover regime for the weakly asymmetric simple
exclusion process},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {140},
year = {2010},
number = {2},
pages = {209--231},
issn = {0022-4715},
mrclass = {82B31 (60K35)},
mrnumber = {2659278},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves},
doi = {10.1007/s10955-010-9990-z},
url = {https://doi.org/10.1007/s10955-010-9990-z}
}
@Article{ sasamoto.spohn:10:exact,
author = {Sasamoto, Tomohiro and Spohn, Herbert},
title = {Exact height distributions for the {KPZ} equation with
narrow wedge initial condition},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {834},
year = {2010},
number = {3},
pages = {523--542},
issn = {0550-3213},
mrclass = {82C44},
mrnumber = {2628936},
doi = {10.1016/j.nuclphysb.2010.03.026},
url = {https://doi.org/10.1016/j.nuclphysb.2010.03.026}
}
@Article{ sasamoto:05:spatial,
author = {Sasamoto, T.},
title = {Spatial correlations of the 1{D} {KPZ} surface on a flat
substrate},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {38},
year = {2005},
number = {33},
pages = {L549--L556},
issn = {0305-4470},
mrclass = {82C24 (82B41 82C31)},
mrnumber = {2165697},
doi = {10.1088/0305-4470/38/33/L01},
url = {https://doi.org/10.1088/0305-4470/38/33/L01}
}
@Article{ sasamoto:16:1d,
author = {Sasamoto, Tomohiro},
title = {The 1{D} {K}ardar-{P}arisi-{Z}hang equation: height
distribution and universality},
journal = {PTEP. Prog. Theor. Exp. Phys.},
fjournal = {PTEP. Progress of Theoretical and Experimental Physics},
year = {2016},
number = {2},
pages = {022A01, 15},
mrclass = {82C24},
mrnumber = {3471265},
doi = {10.1093/ptep/ptw002},
url = {https://doi.org/10.1093/ptep/ptw002}
}
@Article{ sasorov.meerson.ea:17:large,
author = {Sasorov, Pavel and Meerson, Baruch and Prolhac, Sylvain},
title = {Large deviations of surface height in the
{$1+1$}-dimensional {K}ardar-{P}arisi-{Z}hang equation:
exact long-time results for {$\lambda H<0$}},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2017},
number = {6},
pages = {063203, 13},
mrclass = {82C26 (35R60)},
mrnumber = {3673439},
doi = {10.1088/1742-5468/aa73f8},
url = {https://doi.org/10.1088/1742-5468/aa73f8}
}
@Article{ sato:04:stochastic,
author = {Sato, Ken-Iti},
title = {Stochastic integrals in additive processes and application
to semi-{L}\'{e}vy processes},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {41},
year = {2004},
number = {1},
pages = {211--236},
issn = {0030-6126},
mrclass = {60H05 (60G51 60G57)},
mrnumber = {2040073},
mrreviewer = {Nicolas Privault},
url = {http://projecteuclid.org/euclid.ojm/1153493451}
}
@Book{ sato:13:levy,
author = {Sato, Ken-iti},
title = {L\'{e}vy processes and infinitely divisible distributions},
series = {Cambridge Studies in Advanced Mathematics},
volume = {68},
note = {Translated from the 1990 Japanese original, Revised
edition of the 1999 English translation},
publisher = {Cambridge University Press, Cambridge},
year = {2013},
pages = {xiv+521},
isbn = {978-1-107-65649-9},
mrclass = {60G51 (60E07 60G18 60G52 60J45)},
mrnumber = {3185174}
}
@Book{ sato:99:levy,
author = {Sato, Ken-iti},
title = {L\'{e}vy processes and infinitely divisible distributions},
series = {Cambridge Studies in Advanced Mathematics},
volume = {68},
note = {Translated from the 1990 Japanese original, Revised by the
author},
publisher = {Cambridge University Press, Cambridge},
year = {1999},
pages = {xii+486},
isbn = {0-521-55302-4},
mrclass = {60G51 (60E07 60G18 60G52 60J45)},
mrnumber = {1739520},
mrreviewer = {N. H. Bingham}
}
@Article{ saut.temam:76:remarks,
author = {Saut, J. C. and Temam, R.},
title = {Remarks on the {K}orteweg-de {V}ries equation},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {24},
year = {1976},
number = {1},
pages = {78--87},
issn = {0021-2172},
mrclass = {35Q99},
mrnumber = {454425},
doi = {10.1007/BF02761431},
url = {https://doi.org/10.1007/BF02761431}
}
@Article{ savchuk.shkalikov:99:sturm-liouville,
author = {Savchuk, A. M. and Shkalikov, A. A.},
title = {Sturm-{L}iouville operators with singular potentials},
journal = {Mat. Zametki},
fjournal = {Matematicheskie Zametki},
volume = {66},
year = {1999},
number = {6},
pages = {897--912},
issn = {0025-567X},
mrclass = {34B24 (34L40 47E05)},
mrnumber = {1756602},
doi = {10.1007/BF02674332},
url = {https://doi.org/10.1007/BF02674332}
}
@Article{ savu:06:hydrodynamic,
author = {Savu, Anamaria},
title = {Hydrodynamic scaling limit of continuum solid-on-solid
model},
journal = {J. Appl. Math.},
fjournal = {Journal of Applied Mathematics},
year = {2006},
pages = {Art. ID 69101, 37},
issn = {1110-757X},
mrclass = {82C24 (60K35 82C21)},
mrnumber = {2231983},
mrreviewer = {Glauco Valle},
doi = {10.1155/JAM/2006/69101},
url = {https://doi.org/10.1155/JAM/2006/69101}
}
@InCollection{ scalas:06:five,
author = {Scalas, Enrico},
title = {Five years of continuous-time random walks in
econophysics},
booktitle = {The complex networks of economic interactions},
series = {Lecture Notes in Econom. and Math. Systems},
volume = {567},
pages = {3--16},
publisher = {Springer, Berlin},
year = {2006},
mrclass = {91B84 (82C99 91-02)},
mrnumber = {2198447},
doi = {10.1007/3-540-28727-2\_1},
url = {https://doi.org/10.1007/3-540-28727-2_1}
}
@Article{ schafer.ferber.ea:92:renormalization,
author = {Sch\"{a}fer, Lothar and von Ferber, Christian and Lehr,
Ulrike and Duplantier, Bertrand},
title = {Renormalization of polymer networks and stars},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {374},
year = {1992},
number = {3},
pages = {473--495},
issn = {0550-3213},
mrclass = {82D60 (82B28)},
mrnumber = {1162692},
doi = {10.1016/0550-3213(92)90397-T},
url = {https://doi.org/10.1016/0550-3213(92)90397-T}
}
@Article{ schatte:88:on,
author = {Schatte, Peter},
title = {On strong versions of the central limit theorem},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {137},
year = {1988},
pages = {249--256},
issn = {0025-584X},
mrclass = {60F15 (60F05)},
mrnumber = {968997},
mrreviewer = {Zuzana Pr\'{a}\v{s}kov\'{a}},
doi = {10.1002/mana.19881370117},
url = {https://doi.org/10.1002/mana.19881370117}
}
@Article{ schaumloffel.flandoli:91:multiplicative,
author = {Schauml\"{o}ffel, Kay-Uwe and Flandoli, Franco},
title = {A multiplicative ergodic theorem with applications to a
first order stochastic hyperbolic equation in a bounded
domain},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {34},
year = {1991},
number = {3-4},
pages = {241--255},
issn = {1045-1129},
mrclass = {60H15 (28D15 54H20 60E15)},
mrnumber = {1124837},
mrreviewer = {Wolfgang\ Kliemann},
doi = {10.1080/17442509108833684},
url = {https://doi.org/10.1080/17442509108833684}
}
@Article{ schehr:12:extremes,
author = {Schehr, Gr\'{e}gory},
title = {Extremes of {$N$} vicious walkers for large {$N$}:
application to the directed polymer and {KPZ} interfaces},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {149},
year = {2012},
number = {3},
pages = {385--410},
issn = {0022-4715},
mrclass = {82D60 (34M55 60G50 60K35)},
mrnumber = {2992794},
mrreviewer = {Flora Koukiou},
doi = {10.1007/s10955-012-0593-8},
url = {https://doi.org/10.1007/s10955-012-0593-8}
}
@Book{ schilling.song.ea:10:bernstein,
author = {Schilling, Ren\'{e} L. and Song, Renming and
Vondra\v{c}ek, Zoran},
title = {Bernstein functions},
series = {De Gruyter Studies in Mathematics},
volume = {37},
note = {Theory and applications},
publisher = {Walter de Gruyter \& Co., Berlin},
year = {2010},
pages = {xii+313},
isbn = {978-3-11-021530-4},
mrclass = {60E10 (31C05 33C99 43A35 44A10 47A57 47D06 60J65)},
mrnumber = {2598208},
mrreviewer = {Roman Urban}
}
@Article{ schmidt.spitzer:60:toeplitz,
author = {Schmidt, Palle and Spitzer, Frank},
title = {The {T}oeplitz matrices of an arbitrary {L}aurent
polynomial},
journal = {Math. Scand.},
fjournal = {Mathematica Scandinavica},
volume = {8},
year = {1960},
pages = {15--38},
issn = {0025-5521,1903-1807},
mrclass = {30.30 (15.99)},
mrnumber = {124665},
mrreviewer = {H.\ Widom},
doi = {10.7146/math.scand.a-10588},
url = {https://doi.org/10.7146/math.scand.a-10588}
}
@Article{ schmidt.zabczyk:12:cdo,
author = {Schmidt, Thorsten and Zabczyk, Jerzy},
title = {C{DO} term structure modelling with {L}\'{e}vy processes
and the relation to market models},
journal = {Int. J. Theor. Appl. Finance},
fjournal = {International Journal of Theoretical and Applied Finance},
volume = {15},
year = {2012},
number = {1},
pages = {1250008, 19},
issn = {0219-0249},
mrclass = {91G40 (60G51)},
mrnumber = {2902969},
doi = {10.1142/S0219024911006462},
url = {https://doi.org/10.1142/S0219024911006462}
}
@Article{ schnaubelt.veraar:10:structurally,
author = {Schnaubelt, Roland and Veraar, Mark},
title = {Structurally damped plate and wave equations with random
point force in arbitrary space dimensions},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {23},
year = {2010},
number = {9-10},
pages = {957--988},
issn = {0893-4983},
mrclass = {60H15 (35R60 47D06 47N20)},
mrnumber = {2675589},
mrreviewer = {Feng-Yu\ Wang}
}
@InCollection{ schnaubelt.veraar:11:stochastic,
author = {Schnaubelt, Roland and Veraar, Mark},
title = {Stochastic equations with boundary noise},
booktitle = {Parabolic problems},
series = {Progr. Nonlinear Differential Equations Appl.},
volume = {80},
pages = {609--629},
publisher = {Birkh\"auser/Springer Basel AG, Basel},
year = {2011},
isbn = {978-3-0348-0074-7; 978-3-0348-0075-4},
mrclass = {60H15 (35B30 35R60 47D07)},
mrnumber = {3052598},
doi = {10.1007/978-3-0348-0075-4\_30},
url = {https://doi.org/10.1007/978-3-0348-0075-4_30}
}
@Article{ schneider.wyss:89:fractional,
author = {Schneider, W. R. and Wyss, W.},
title = {Fractional diffusion and wave equations},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {30},
year = {1989},
number = {1},
pages = {134--144},
issn = {0022-2488},
mrclass = {45K05 (33A35)},
mrnumber = {974464},
mrreviewer = {C. L. Koul},
doi = {10.1063/1.528578},
url = {https://doi.org/10.1063/1.528578}
}
@InCollection{ schneider:86:stable,
author = {Schneider, W. R.},
title = {Stable distributions: {F}ox functions representation and
generalization},
booktitle = {Stochastic processes in classical and quantum systems
({A}scona, 1985)},
series = {Lecture Notes in Phys.},
volume = {262},
pages = {497--511},
publisher = {Springer, Berlin},
year = {1986},
mrclass = {60E07 (33A30)},
mrnumber = {870201},
mrreviewer = {A. M. Mathai},
doi = {10.1007/3540171665\_92},
url = {https://doi.org/10.1007/3540171665_92}
}
@Article{ schneider:96:completely,
author = {Schneider, W. R.},
title = {Completely monotone generalized {M}ittag-{L}effler
functions},
journal = {Exposition. Math.},
fjournal = {Expositiones Mathematicae. International Journal},
volume = {14},
year = {1996},
number = {1},
pages = {3--16},
issn = {0723-0869},
mrclass = {33C99},
mrnumber = {1382012}
}
@Article{ schram.barkema.ea:11:exact,
author = {Schram, R. D. and Barkema, G. T. and Bisseling, R. H.},
title = {Exact enumeration of self-avoiding walks},
journal = {J. Stat. Mech. Theory Exp.},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2011},
number = {6},
pages = {P06019, 8},
mrclass = {82B41 (82B27)},
mrnumber = {2853997},
mrreviewer = {Heinrich Niederhausen},
doi = {10.1088/1742-5468/2011/06/p06019},
url = {https://doi.org/10.1088/1742-5468/2011/06/p06019}
}
@Article{ schramm.sheffield:09:contour,
author = {Schramm, Oded and Sheffield, Scott},
title = {Contour lines of the two-dimensional discrete {G}aussian
free field},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {202},
year = {2009},
number = {1},
pages = {21--137},
issn = {0001-5962},
mrclass = {60J67 (60D05 60G17 60K35)},
mrnumber = {2486487},
mrreviewer = {Julien Dub\'{e}dat},
doi = {10.1007/s11511-009-0034-y},
url = {https://doi.org/10.1007/s11511-009-0034-y}
}
@Article{ schramm.sheffield:13:contour,
author = {Schramm, Oded and Sheffield, Scott},
title = {A contour line of the continuum {G}aussian free field},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {157},
year = {2013},
number = {1-2},
pages = {47--80},
issn = {0178-8051},
mrclass = {60J67 (60G15)},
mrnumber = {3101840},
mrreviewer = {Fredrik Johansson Viklund},
doi = {10.1007/s00440-012-0449-9},
url = {https://doi.org/10.1007/s00440-012-0449-9}
}
@Article{ schramm.smirnov:11:on,
author = {Schramm, Oded and Smirnov, Stanislav},
title = {On the scaling limits of planar percolation},
note = {With an appendix by Christophe Garban},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {39},
year = {2011},
number = {5},
pages = {1768--1814},
issn = {0091-1798,2168-894X},
mrclass = {60K35 (60G60 82B43)},
mrnumber = {2884873},
mrreviewer = {Antonio\ Auffinger},
doi = {10.1214/11-AOP659},
url = {https://doi.org/10.1214/11-AOP659}
}
@InCollection{ schramm.smirnov:11:on*1,
author = {Schramm, Oded and Smirnov, Stanislav},
title = {On the scaling limits of planar percolation [MR2884873]},
booktitle = {Selected works of {O}ded {S}chramm. {V}olume 1, 2},
series = {Sel. Works Probab. Stat.},
pages = {1193--1247},
note = {With an appendix by Christophe Garban},
publisher = {Springer, New York},
year = {2011},
isbn = {978-1-4419-9674-9},
mrclass = {60K35 (28C20 60G60 82B43)},
mrnumber = {2883400},
doi = {10.1007/978-1-4419-9675-6\_35},
url = {https://doi.org/10.1007/978-1-4419-9675-6_35}
}
@Article{ schramm:00:scaling,
author = {Schramm, Oded},
title = {Scaling limits of loop-erased random walks and uniform
spanning trees},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {118},
year = {2000},
pages = {221--288},
issn = {0021-2172},
mrclass = {60K35 (30C85 60H15 82B27 82B44)},
mrnumber = {1776084},
mrreviewer = {Almut Burchard},
doi = {10.1007/BF02803524},
url = {https://doi.org/10.1007/BF02803524}
}
@Book{ schramm:94:practical,
title = {A practical approach to rheology and rheometry},
author = {Schramm, Gebhard},
year = {1994},
publisher = {Haake Karlsruhe}
}
@Book{ schulman:81:techniques,
author = {Schulman, Lawrence S.},
title = {Techniques and applications of path integration},
series = {A Wiley-Interscience Publication},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1981},
pages = {xv+359},
isbn = {0-471-76450-7},
mrclass = {81-02 (28C20 58D30 60J99 81C35)},
mrnumber = {601595},
mrreviewer = {Aubrey Truman}
}
@InCollection{ schumacher:85:diffusions,
author = {Schumacher, Scott},
title = {Diffusions with random coefficients},
booktitle = {Particle systems, random media and large deviations
({B}runswick, {M}aine, 1984)},
series = {Contemp. Math.},
volume = {41},
pages = {351--356},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1985},
mrclass = {60F05 (60J60 82A42)},
mrnumber = {814724},
mrreviewer = {G. Papanicolaou},
doi = {10.1090/conm/041/814724},
url = {https://doi.org/10.1090/conm/041/814724}
}
@Article{ schutz:97:exact,
author = {Sch\"{u}tz, Gunter M.},
title = {Exact solution of the master equation for the asymmetric
exclusion process},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {88},
year = {1997},
number = {1-2},
pages = {427--445},
issn = {0022-4715},
mrclass = {82C22},
mrnumber = {1468391},
mrreviewer = {B\'{a}lint T\'{o}th},
doi = {10.1007/BF02508478},
url = {https://doi.org/10.1007/BF02508478}
}
@Book{ schweinhart:15:statistical,
author = {Schweinhart, Benjamin},
title = {Statistical {T}opology of {E}mbedded {G}raphs},
note = {Thesis (Ph.D.)--Princeton University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2015},
pages = {138},
isbn = {978-1339-15686-6},
mrclass = {Thesis},
mrnumber = {3450144},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3729732}
}
@Article{ seidler.sobukawa:03:exponential,
author = {Seidler, Jan and Sobukawa, Takuya},
title = {Exponential integrability of stochastic convolutions},
journal = {J. London Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second
Series},
volume = {67},
year = {2003},
number = {1},
pages = {245--258},
issn = {0024-6107},
mrclass = {60H15 (60F10)},
mrnumber = {1942424},
mrreviewer = {Fred Espen Benth},
doi = {10.1112/S0024610702003745},
url = {https://doi.org/10.1112/S0024610702003745}
}
@Article{ seidler.tybl:23:stochastic,
author = {Seidler, Jan and T\'{y}bl, Ond\v{r}ej},
title = {Stochastic approximation procedures for {L}\'{e}vy-driven
{SDE}s},
journal = {J. Optim. Theory Appl.},
fjournal = {Journal of Optimization Theory and Applications},
volume = {197},
year = {2023},
number = {2},
pages = {817--837},
issn = {0022-3239,1573-2878},
mrclass = {60H10 (62L20)},
mrnumber = {4590228},
doi = {10.1007/s10957-023-02198-0},
url = {https://doi.org/10.1007/s10957-023-02198-0}
}
@Article{ seidler.vondracek.ea:00:life,
author = {Seidler, Jan and Vondr\'{a}\v{c}ek, Ji\v{r}\'{i} and Saxl,
Ivan},
title = {The life and work of {Z}byn\v{e}k \v{S}id\'{a}k
(1933--1999)},
journal = {Appl. Math.},
fjournal = {Applications of Mathematics},
volume = {45},
year = {2000},
number = {5},
pages = {321--336},
issn = {0862-7940,1572-9109},
mrclass = {01A70 (62-03)},
mrnumber = {1777020},
doi = {10.1023/A:1022238410461},
url = {https://doi.org/10.1023/A:1022238410461}
}
@Article{ seidler.vrkoc:90:averaging,
author = {Seidler, Jan and Vrko\v{c}, Ivo},
title = {An averaging principle for stochastic evolution
equations},
journal = {\v{C}asopis P\v{e}st. Mat.},
fjournal = {\v{C}eskoslovensk\'{a} Akademie V\v{e}d. \v{C}asopis Pro
P\v{e}stov\'{a}n\'{i} Matematiky},
volume = {115},
year = {1990},
number = {3},
pages = {240--263},
issn = {0528-2195},
mrclass = {60H15 (60F99)},
mrnumber = {1071056},
mrreviewer = {Wlodzimierz\ Smolenski}
}
@Article{ seidler.vrkoc:97:generalized,
author = {Seidler, Jan and Vrko\v{c}, Ivo},
title = {The generalized {G}ronwall lemma fails under random
stopping},
journal = {Dynam. Systems Appl.},
fjournal = {Dynamic Systems and Applications},
volume = {6},
year = {1997},
number = {1},
pages = {101--105},
issn = {1056-2176},
mrclass = {60G40 (26D10)},
mrnumber = {1434620},
mrreviewer = {B.\ G.\ Pachpatte}
}
@Article{ seidler.zak:17:note,
author = {Seidler, Jan and \v{Z}\'{a}k, Franti\v{s}ek},
title = {A note on continuous-time stochastic approximation in
infinite dimensions},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {22},
year = {2017},
pages = {Paper No. 36, 13},
issn = {1083-589X},
mrclass = {60H15 (62L20)},
mrnumber = {3666857},
mrreviewer = {Charles-Edouard\ Br\'{e}hier},
doi = {10.1214/17-ECP67},
url = {https://doi.org/10.1214/17-ECP67}
}
@Article{ seidler:01:ivo,
author = {Seidler, Jan},
title = {Ivo {V}rko\v{c} septuagenarian},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {51(126)},
year = {2001},
number = {4},
pages = {673--678},
issn = {0011-4642,1572-9141},
mrclass = {01A70},
mrnumber = {1864034},
doi = {10.1023/A:1013700509787},
url = {https://doi.org/10.1023/A:1013700509787}
}
@Article{ seidler:10:exponential,
author = {Seidler, Jan},
title = {Exponential estimates for stochastic convolutions in
2-smooth {B}anach spaces},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {15},
year = {2010},
pages = {no. 50, 1556--1573},
mrclass = {60H15 (47N30 60G44)},
mrnumber = {2735374},
mrreviewer = {Erika Hausenblas},
doi = {10.1214/EJP.v15-808},
url = {https://doi.org/10.1214/EJP.v15-808}
}
@Article{ seidler:93:da,
author = {Seidler, Jan},
title = {Da {P}rato-{Z}abczyk's maximal inequality revisited. {I}},
journal = {Math. Bohem.},
fjournal = {Academy of Sciences of the Czech Republic. Mathematical
Institute. Mathematica Bohemica},
volume = {118},
year = {1993},
number = {1},
pages = {67--106},
issn = {0862-7959},
mrclass = {60H15 (35R60)},
mrnumber = {1213834},
mrreviewer = {Krystyna Twardowska}
}
@Article{ seidler:97:ergodic,
author = {Seidler, Jan},
title = {Ergodic behaviour of stochastic parabolic equations},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {47(122)},
year = {1997},
number = {2},
pages = {277--316},
issn = {0011-4642,1572-9141},
mrclass = {60H10 (35K99 35R60 60J35)},
mrnumber = {1452421},
mrreviewer = {Isabel\ Sim\~{a}o},
doi = {10.1023/A:1022821729545},
url = {https://doi.org/10.1023/A:1022821729545}
}
@Article{ seidler:97:weak,
author = {Seidler, Jan},
title = {Weak convergence of infinite-dimensional diffusions},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {15},
year = {1997},
number = {3},
pages = {399--417},
issn = {0736-2994,1532-9356},
mrclass = {60H10 (60F17 60J60)},
mrnumber = {1454096},
mrreviewer = {Hisao\ Watanabe},
doi = {10.1080/07362999708809484},
url = {https://doi.org/10.1080/07362999708809484}
}
@InCollection{ sell.shen.ea:98:topological,
author = {Sell, G. and Shen, W. and Yi, Y.},
title = {Topological dynamics and differential equations},
booktitle = {Topological dynamics and applications ({M}inneapolis,
{MN}, 1995)},
series = {Contemp. Math.},
volume = {215},
pages = {279--297},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1998},
isbn = {0-8218-0608-4},
mrclass = {34C27 (34C28 54H20)},
mrnumber = {1603054},
mrreviewer = {Rafael\ Obaya Garc\'{i}a},
doi = {10.1090/conm/215/02948},
url = {https://doi.org/10.1090/conm/215/02948}
}
@Article{ sell.taboada:92:local,
author = {Sell, George R. and Taboada, Mario},
title = {Local dissipativity and attractors for the
{K}uramoto-{S}ivashinsky equation in thin {$2{\rm D}$}
domains},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {18},
year = {1992},
number = {7},
pages = {671--687},
issn = {0362-546X},
mrclass = {35K60 (34D45 34G20 58F39)},
mrnumber = {1157567},
mrreviewer = {Laurent V\'{e}ron},
doi = {10.1016/0362-546X(92)90006-Z},
url = {https://doi.org/10.1016/0362-546X(92)90006-Z}
}
@InCollection{ senba.suzuki:01:parabolic,
author = {Senba, Takasi and Suzuki, Takashi},
title = {Parabolic system of chemotaxis: blowup in a finite and the
infinite time},
note = {IMS Workshop on Reaction-Diffusion Systems (Shatin,
1999)},
journal = {Methods Appl. Anal.},
fjournal = {Methods and Applications of Analysis},
volume = {8},
year = {2001},
number = {2},
pages = {349--367},
issn = {1073-2772},
mrclass = {35K57 (35B40 35Q80 92C17)},
mrnumber = {1904534},
mrreviewer = {Brian D. Sleeman},
doi = {10.4310/MAA.2001.v8.n2.a9},
url = {https://doi.org/10.4310/MAA.2001.v8.n2.a9}
}
@Article{ senba.suzuki:02:weak,
author = {Senba, Takasi and Suzuki, Takashi},
title = {Weak solutions to a parabolic-elliptic system of
chemotaxis},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {191},
year = {2002},
number = {1},
pages = {17--51},
issn = {0022-1236},
mrclass = {35Q80 (35B40 35B60 35K57 92C17)},
mrnumber = {1909263},
mrreviewer = {Piotr Biler},
doi = {10.1006/jfan.2001.3802},
url = {https://doi.org/10.1006/jfan.2001.3802}
}
@Article{ senba:05:blowup,
author = {Senba, Takasi},
title = {Blowup behavior of radial solutions to
{J}\"{a}ger-{L}uckhaus system in high dimensional domains},
journal = {Funkcial. Ekvac.},
fjournal = {Funkcialaj Ekvacioj. Serio Internacia},
volume = {48},
year = {2005},
number = {2},
pages = {247--271},
issn = {0532-8721},
mrclass = {35K57 (35B40 35Q80 92C17)},
mrnumber = {2177120},
mrreviewer = {Stefka N. Dimova},
doi = {10.1619/fesi.48.247},
url = {https://doi.org/10.1619/fesi.48.247}
}
@Article{ seppalainen.krug:99:hydrodynamics,
author = {Sepp\"{a}l\"{a}inen, Timo and Krug, Joachim},
title = {Hydrodynamics and platoon formation for a totally
asymmetric exclusion model with particlewise disorder},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {95},
year = {1999},
number = {3-4},
pages = {525--567},
issn = {0022-4715},
mrclass = {60K35 (82C22 82C44)},
mrnumber = {1700871},
mrreviewer = {Ellen Saada}
}
@Article{ seppalainen.sethuraman:03:transience,
author = {Sepp\"{a}l\"{a}inen, Timo and Sethuraman, Sunder},
title = {Transience of second-class particles and diffusive bounds
for additive functionals in one-dimensional asymmetric
exclusion processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {1},
pages = {148--169},
issn = {0091-1798},
mrclass = {60K35 (60F05)},
mrnumber = {1959789},
mrreviewer = {Boualem Djehiche},
doi = {10.1214/aop/1046294307},
url = {https://doi.org/10.1214/aop/1046294307}
}
@Article{ seppalainen.shen:20:coalescence,
author = {Sepp\"{a}l\"{a}inen, Timo and Shen, Xiao},
title = {Coalescence estimates for the corner growth model with
exponential weights},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {25},
year = {2020},
pages = {Paper No. 85, 31},
mrclass = {60K35 (60K37 82B43)},
mrnumber = {4125790},
mrreviewer = {Jere Koskela},
doi = {10.1214/20-ejp489},
url = {https://doi.org/10.1214/20-ejp489}
}
@Article{ seppalainen.valko:10:bounds,
author = {Sepp\"{a}l\"{a}inen, Timo and Valk\'{o}, Benedek},
title = {Bounds for scaling exponents for a {$1+1$} dimensional
directed polymer in a {B}rownian environment},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {7},
year = {2010},
pages = {451--476},
mrclass = {60K35 (60K37 82D60)},
mrnumber = {2741194},
mrreviewer = {Marina Vachkovskaia}
}
@Article{ seppalainen.yukich:01:large,
author = {Sepp\"{a}l\"{a}inen, Timo and Yukich, J. E.},
title = {Large deviation principles for {E}uclidean functionals and
other nearly additive processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {120},
year = {2001},
number = {3},
pages = {309--345},
issn = {0178-8051},
mrclass = {60F10 (05C35 60D05)},
mrnumber = {1843178},
mrreviewer = {J. H\"{u}sler},
doi = {10.1007/PL00008785},
url = {https://doi.org/10.1007/PL00008785}
}
@Article{ seppalainen.zhai:17:hammersleys,
author = {Sepp\"{a}l\"{a}inen, Timo and Zhai, Yun},
title = {Hammersley's harness process: invariant distributions and
height fluctuations},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {53},
year = {2017},
number = {1},
pages = {287--321},
issn = {0246-0203},
mrclass = {60K35 (60F05)},
mrnumber = {3606743},
mrreviewer = {Ji\v{r}\'{i} \v{C}ern\'{y}},
doi = {10.1214/15-AIHP717},
url = {https://doi.org/10.1214/15-AIHP717}
}
@Article{ seppalainen:00:strong,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Strong law of large numbers for the interface in ballistic
deposition},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {36},
year = {2000},
number = {6},
pages = {691--736},
issn = {0246-0203},
mrclass = {60K35 (82C43)},
mrnumber = {1797390},
mrreviewer = {Rahul Roy},
doi = {10.1016/S0246-0203(00)00137-0},
url = {https://doi.org/10.1016/S0246-0203(00)00137-0}
}
@InCollection{ seppalainen:00:variational,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {A variational coupling for a totally asymmetric exclusion
process with long jumps but no passing},
booktitle = {Hydrodynamic limits and related topics ({T}oronto, {ON},
1998)},
series = {Fields Inst. Commun.},
volume = {27},
pages = {117--130},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {60K35 (82C22 90B20)},
mrnumber = {1798648},
mrreviewer = {Pablo A. Ferrari}
}
@Article{ seppalainen:01:hydrodynamic,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Hydrodynamic profiles for the totally asymmetric exclusion
process with a slow bond},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {102},
year = {2001},
number = {1-2},
pages = {69--96},
issn = {0022-4715},
mrclass = {82C22 (60K35)},
mrnumber = {1819699},
mrreviewer = {Herv\'{e} Jean F. Guiol},
doi = {10.1023/A:1026508625058},
url = {https://doi.org/10.1023/A:1026508625058}
}
@Article{ seppalainen:01:perturbation,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Perturbation of the equilibrium for a totally asymmetric
stick process in one dimension},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {29},
year = {2001},
number = {1},
pages = {176--204},
issn = {0091-1798},
mrclass = {60K35},
mrnumber = {1825147},
mrreviewer = {Rossana Marra},
doi = {10.1214/aop/1008956327},
url = {https://doi.org/10.1214/aop/1008956327}
}
@Article{ seppalainen:01:second,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Second class particles as microscopic characteristics in
totally asymmetric nearest-neighbor {$K$}-exclusion
processes},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {353},
year = {2001},
number = {12},
pages = {4801--4829},
issn = {0002-9947},
mrclass = {60K35 (82C22)},
mrnumber = {1852083},
mrreviewer = {Dimitri Petritis},
doi = {10.1090/S0002-9947-01-02872-0},
url = {https://doi.org/10.1090/S0002-9947-01-02872-0}
}
@Article{ seppalainen:02:diffusive,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Diffusive fluctuations for one-dimensional totally
asymmetric interacting random dynamics},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {229},
year = {2002},
number = {1},
pages = {141--182},
issn = {0010-3616},
mrclass = {82C22 (60F05 60K35 82C05)},
mrnumber = {1917677},
mrreviewer = {Ellen Saada},
doi = {10.1007/s002200200660},
url = {https://doi.org/10.1007/s002200200660}
}
@Article{ seppalainen:05:second-order,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Second-order fluctuations and current across
characteristic for a one-dimensional growth model of
independent random walks},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {2},
pages = {759--797},
issn = {0091-1798},
mrclass = {60K35 (82C22)},
mrnumber = {2123209},
mrreviewer = {Ellen Saada},
doi = {10.1214/009117904000000946},
url = {https://doi.org/10.1214/009117904000000946}
}
@InCollection{ seppalainen:07:growth,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {A growth model in multiple dimensions and the height of a
random partial order},
booktitle = {Asymptotics: particles, processes and inverse problems},
series = {IMS Lecture Notes Monogr. Ser.},
volume = {55},
pages = {204--233},
publisher = {Inst. Math. Statist., Beachwood, OH},
year = {2007},
mrclass = {60K35 (82C22)},
mrnumber = {2459941},
mrreviewer = {N. N. Ganikhodjaev},
doi = {10.1214/074921707000000373},
url = {https://doi.org/10.1214/074921707000000373}
}
@InCollection{ seppalainen:08:directed,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Directed random growth models on the plane},
booktitle = {Analysis and stochastics of growth processes and interface
models},
pages = {9--38},
publisher = {Oxford Univ. Press, Oxford},
year = {2008},
mrclass = {60K35 (60F10 82C43)},
mrnumber = {2603217},
mrreviewer = {M\'{a}rton Bal\'{a}zs},
doi = {10.1093/acprof:oso/9780199239252.003.0001},
url = {https://doi.org/10.1093/acprof:oso/9780199239252.003.0001}
}
@Book{ seppalainen:10:current,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Current fluctuations for stochastic particle systems with
drift in one spatial dimension},
series = {Ensaios Matem\'{a}ticos [Mathematical Surveys]},
volume = {18},
publisher = {Sociedade Brasileira de Matem\'{a}tica, Rio de Janeiro},
year = {2010},
pages = {ii+81},
isbn = {978-85-85818-44-9},
mrclass = {60K35},
mrnumber = {2724800},
mrreviewer = {Rongfeng Sun}
}
@Article{ seppalainen:12:scaling,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Scaling for a one-dimensional directed polymer with
boundary conditions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {40},
year = {2012},
number = {1},
pages = {19--73},
issn = {0091-1798},
mrclass = {60K35 (60K37 82B41 82D60)},
mrnumber = {2917766},
mrreviewer = {Jonathon R. Peterson},
doi = {10.1214/10-AOP617},
url = {https://doi.org/10.1214/10-AOP617}
}
@InProceedings{ seppalainen:14:variational,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Variational formulas for directed polymer and percolation
models},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians---{S}eoul 2014. {V}ol. {IV}},
pages = {185--197},
publisher = {Kyung Moon Sa, Seoul},
year = {2014},
mrclass = {60K35 (60K37 82B43 82D60)},
mrnumber = {3727608},
mrreviewer = {Andrew R. Wade}
}
@Article{ seppalainen:17:erratum,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Erratum to ``{S}caling for a one-dimensional directed
polymer with boundary conditions'' [ {MR}2917766]},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {45},
year = {2017},
number = {3},
pages = {2056--2058},
issn = {0091-1798},
mrclass = {60K35 (60K37 82B41 82D60)},
mrnumber = {3650421},
doi = {10.1214/16-AOP1096},
url = {https://doi.org/10.1214/16-AOP1096}
}
@InCollection{ seppalainen:18:corner,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {The corner growth model with exponential weights},
booktitle = {Random growth models},
series = {Proc. Sympos. Appl. Math.},
volume = {75},
pages = {133--201},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2018},
mrclass = {60K35 (60K37 82B43)},
mrnumber = {3838898},
mrreviewer = {Patr\'{i}cia Gon\c{c}alves},
doi = {10.1090/psapm/075},
url = {https://doi.org/10.1090/psapm/075}
}
@Article{ seppalainen:20:existence,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Existence, uniqueness and coalescence of directed planar
geodesics: proof via the increment-stationary growth
process},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {56},
year = {2020},
number = {3},
pages = {1775--1791},
issn = {0246-0203},
mrclass = {60K35 (60K37)},
mrnumber = {4116707},
mrreviewer = {Daniel Boivin},
doi = {10.1214/19-AIHP1016},
url = {https://doi.org/10.1214/19-AIHP1016}
}
@Book{ seppalainen:91:large,
author = {Seppalainen, Timo Olavi},
title = {Large deviations for processes with stationarily random
distributions},
note = {Thesis (Ph.D.)--University of Minnesota},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1991},
pages = {201},
mrclass = {Thesis},
mrnumber = {2686279},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9130200}
}
@Article{ seppalainen:93:large,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Large deviations for lattice systems. {II}.
{N}onstationary independent fields},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {97},
year = {1993},
number = {1-2},
pages = {103--112},
issn = {0178-8051},
mrclass = {60F10 (60G60)},
mrnumber = {1240718},
mrreviewer = {Francis Comets},
doi = {10.1007/BF01199314},
url = {https://doi.org/10.1007/BF01199314}
}
@Article{ seppalainen:93:large*1,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Large deviations for lattice systems. {I}. {P}arametrized
independent fields},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {96},
year = {1993},
number = {2},
pages = {241--260},
issn = {0178-8051},
mrclass = {60F10 (60G60)},
mrnumber = {1227034},
mrreviewer = {Francis Comets},
doi = {10.1007/BF01192135},
url = {https://doi.org/10.1007/BF01192135}
}
@Article{ seppalainen:94:large,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Large deviations for {M}arkov chains with random
transitions},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {2},
pages = {713--748},
issn = {0091-1798},
mrclass = {60F10 (60J05)},
mrnumber = {1288129},
mrreviewer = {Francis Comets},
url = {http://links.jstor.org/sici?sici=0091-1798(199404)22:2<713:LDFMCW>2.0.CO;2-9&origin=MSN}
}
@Article{ seppalainen:95:entropy,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Entropy, limit theorems, and variational principles for
disordered lattice systems},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {171},
year = {1995},
number = {2},
pages = {233--277},
issn = {0010-3616},
mrclass = {82B44 (60F10 60G60 82B20)},
mrnumber = {1344727},
mrreviewer = {Christian Maes},
url = {http://projecteuclid.org/euclid.cmp/1104273563}
}
@Article{ seppalainen:95:maximum,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Maximum entropy principles for disordered spins},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {101},
year = {1995},
number = {4},
pages = {547--576},
issn = {0178-8051},
mrclass = {60F10 (60K35 82B44)},
mrnumber = {1327225},
mrreviewer = {Luiz R. G. Fontes},
doi = {10.1007/BF01202784},
url = {https://doi.org/10.1007/BF01202784}
}
@Article{ seppalainen:96:microscopic,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {A microscopic model for the {B}urgers equation and longest
increasing subsequences},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {1},
year = {1996},
pages = {no. 5, approx. 51 pp.},
issn = {1083-6489},
mrclass = {60K35 (35Q53 60C05 82C22)},
mrnumber = {1386297},
mrreviewer = {Shui Feng},
doi = {10.1214/EJP.v1-5},
url = {https://doi.org/10.1214/EJP.v1-5}
}
@Article{ seppalainen:97:increasing,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Increasing sequences of independent points on the planar
lattice},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {7},
year = {1997},
number = {4},
pages = {886--898},
issn = {1050-5164},
mrclass = {60K35},
mrnumber = {1484789},
mrreviewer = {Bernard Ycart},
doi = {10.1214/aoap/1043862416},
url = {https://doi.org/10.1214/aoap/1043862416}
}
@Article{ seppalainen:97:scaling,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {A scaling limit for queues in series},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {7},
year = {1997},
number = {4},
pages = {855--872},
issn = {1050-5164},
mrclass = {60K35},
mrnumber = {1484787},
mrreviewer = {Pablo A. Ferrari},
doi = {10.1214/aoap/1043862414},
url = {https://doi.org/10.1214/aoap/1043862414}
}
@InCollection{ seppalainen:98:coupling,
author = {Sepp\"{a}l\"{a}inen, T.},
title = {Coupling the totally asymmetric simple exclusion process
with a moving interface},
note = {I Brazilian School in Probability (Rio de Janeiro, 1997)},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {4},
year = {1998},
number = {4},
pages = {593--628},
issn = {1024-2953},
mrclass = {60K35 (60F10 82C22 82C24)},
mrnumber = {1677061}
}
@Article{ seppalainen:98:entropy,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Entropy for translation-invariant random-cluster
measures},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {26},
year = {1998},
number = {3},
pages = {1139--1178},
issn = {0091-1798},
mrclass = {60F10 (60K35 82B43)},
mrnumber = {1634417},
mrreviewer = {Agoston Pisztora},
doi = {10.1214/aop/1022855747},
url = {https://doi.org/10.1214/aop/1022855747}
}
@Article{ seppalainen:98:exact,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Exact limiting shape for a simplified model of
first-passage percolation on the plane},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {26},
year = {1998},
number = {3},
pages = {1232--1250},
issn = {0091-1798},
mrclass = {60K35 (82B43 82C22)},
mrnumber = {1640344},
mrreviewer = {Olle H\"{a}ggstr\"{o}m},
doi = {10.1214/aop/1022855751},
url = {https://doi.org/10.1214/aop/1022855751}
}
@Article{ seppalainen:98:hydrodynamic,
author = {Sepp\"{a}l\"{a}inen, T.},
title = {Hydrodynamic scaling, convex duality and asymptotic shapes
of growth models},
journal = {Markov Process. Related Fields},
fjournal = {Markov Processes and Related Fields},
volume = {4},
year = {1998},
number = {1},
pages = {1--26},
issn = {1024-2953},
mrclass = {60K35 (82C22)},
mrnumber = {1625007},
mrreviewer = {Jean-Pierre Fouque}
}
@Article{ seppalainen:98:large,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Large deviations for increasing sequences on the plane},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {112},
year = {1998},
number = {2},
pages = {221--244},
issn = {0178-8051},
mrclass = {60F10 (20C30 60B15 60C05)},
mrnumber = {1653841},
mrreviewer = {Philippe Barbe},
doi = {10.1007/s004400050188},
url = {https://doi.org/10.1007/s004400050188}
}
@Article{ seppalainen:99:existence,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Existence of hydrodynamics for the totally asymmetric
simple {$K$}-exclusion process},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {27},
year = {1999},
number = {1},
pages = {361--415},
issn = {0091-1798},
mrclass = {60K35 (82C22)},
mrnumber = {1681094},
mrreviewer = {Francis Comets},
doi = {10.1214/aop/1022677266},
url = {https://doi.org/10.1214/aop/1022677266}
}
@InCollection{ seppalainen:99:recent,
author = {Sepp\"{a}l\"{a}inen, Timo},
title = {Recent results and open problems on the hydrodynamics of
disordered asymmetric exclusion and zero-range processes},
note = {II Brazilian School of Probability (Portuguese) (Barra de
Sah\'{y}, 1998)},
journal = {Resenhas},
fjournal = {Resenhas do Instituto de Matem\'{a}tica e Estat\'{i}stica
da Universidade de S\~{a}o Paulo},
volume = {4},
year = {1999},
number = {1},
pages = {1--15},
issn = {0104-3854},
mrclass = {60K35},
mrnumber = {1712846}
}
@Article{ seredynska.hanyga:00:nonlinear,
author = {Seredy\'{n}ska, M. and Hanyga, A.},
title = {Nonlinear {H}amiltonian equations with fractional
damping},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {41},
year = {2000},
number = {4},
pages = {2135--2156},
issn = {0022-2488,1089-7658},
mrclass = {34A34 (26A33 34C15 34G25 37J99 45J05)},
mrnumber = {1751881},
doi = {10.1063/1.533231},
url = {https://doi.org/10.1063/1.533231}
}
@Article{ serfaty.vazquez:14:mean,
author = {Serfaty, Sylvia and V\'{a}zquez, Juan Luis},
title = {A mean field equation as limit of nonlinear diffusions
with fractional {L}aplacian operators},
journal = {Calc. Var. Partial Differential Equations},
fjournal = {Calculus of Variations and Partial Differential
Equations},
volume = {49},
year = {2014},
number = {3-4},
pages = {1091--1120},
issn = {0944-2669},
mrclass = {35K59 (35K65 35Q35 35R11)},
mrnumber = {3168624},
doi = {10.1007/s00526-013-0613-9},
url = {https://doi.org/10.1007/s00526-013-0613-9}
}
@Article{ serfaty:20:mean,
author = {Serfaty, Sylvia},
title = {Mean field limit for {C}oulomb-type flows},
note = {With an appendix by Mitia Duerinckx and Serfaty},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {169},
year = {2020},
number = {15},
pages = {2887--2935},
issn = {0012-7094},
mrclass = {35Q82 (82C22)},
mrnumber = {4158670},
doi = {10.1215/00127094-2020-0019},
url = {https://doi.org/10.1215/00127094-2020-0019}
}
@Article{ seroussi.zeitouni:22:lower,
author = {Seroussi, Inbar and Zeitouni, Ofer},
title = {Lower bounds on the generalization error of nonlinear
learning models},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {68},
year = {2022},
number = {12},
pages = {7956--7970},
issn = {0018-9448,1557-9654},
mrclass = {62J02 (60B20)},
mrnumber = {4544926}
}
@Article{ sethuraman.varadhan.ea:00:diffusive,
author = {Sethuraman, Sunder and Varadhan, S. R. S. and Yau,
Horng-Tzer},
title = {Diffusive limit of a tagged particle in asymmetric simple
exclusion processes},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {53},
year = {2000},
number = {8},
pages = {972--1006},
issn = {0010-3640,1097-0312},
mrclass = {60K35 (60F17 82C22)},
mrnumber = {1755948},
mrreviewer = {Ellen\ Saada},
doi = {10.1002/1097-0312(200008)53:8<972::AID-CPA2>3.0.CO;2-#},
url = {https://doi.org/10.1002/1097-0312(200008)53:8<972::AID-CPA2>3.0.CO;2-#}
}
@Article{ sethuraman.varadhan:05:martingale,
author = {Sethuraman, S. and Varadhan, S. R. S.},
title = {A martingale proof of {D}obrushin's theorem for
non-homogeneous {M}arkov chains},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {10},
year = {2005},
pages = {no. 36, 1221--1235},
issn = {1083-6489},
mrclass = {60J10 (60F05)},
mrnumber = {2164043},
mrreviewer = {M.\ Iosifescu},
doi = {10.1214/EJP.v10-283},
url = {https://doi.org/10.1214/EJP.v10-283}
}
@Article{ sevillano.rios-insua.ea:12:adversarial,
title = {Adversarial risk analysis: The {Somali} pirates case},
author = {Sevillano, Juan Carlos and Rios Insua, David and Rios,
Jesus},
journal = {Decision Analysis},
volume = {9},
number = {2},
pages = {86--95},
year = {2012},
publisher = {INFORMS}
}
@Article{ shamis.zeitouni:18:curie-weiss,
author = {Shamis, Mira and Zeitouni, Ofer},
title = {The {C}urie-{W}eiss model with complex temperature: phase
transitions},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {172},
year = {2018},
number = {2},
pages = {569--591},
issn = {0022-4715,1572-9613},
mrclass = {82C26},
mrnumber = {3824953},
doi = {10.1007/s10955-017-1812-0},
url = {https://doi.org/10.1007/s10955-017-1812-0}
}
@Article{ shandarin.zel-dovich:89:large-scale,
author = {Shandarin, S. F. and Zel{\cprime}dovich, Ya. B.},
title = {The large-scale structure of the universe: turbulence,
intermittency, structures in a self-gravitating medium},
journal = {Rev. Modern Phys.},
fjournal = {Reviews of Modern Physics},
volume = {61},
year = {1989},
number = {2},
pages = {185--220},
issn = {0034-6861},
mrclass = {85A05 (58C27 58F40)},
mrnumber = {989562},
doi = {10.1103/RevModPhys.61.185},
url = {https://doi.org/10.1103/RevModPhys.61.185}
}
@Article{ shandarin.zeldovich:84:topological,
title = {Topological Mapping Properties of Collisionless Potential
and Vortex Motion},
author = {Shandarin, S. F. and Zeldovich, Ya. B.},
journal = {Phys. Rev. Lett.},
volume = {52},
issue = {17},
pages = {1488--1491},
numpages = {0},
year = {1984},
month = {Apr},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.52.1488},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.52.1488}
}
@Article{ shang.zhai.ea:19:strong,
author = {Shang, Shijie and Zhai, Jianliang and Zhang, Tusheng},
title = {Strong solutions for a stochastic model of two-dimensional
second grade fluids driven by {L}\'{e}vy noise},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {471},
year = {2019},
number = {1-2},
pages = {126--146},
issn = {0022-247X},
mrclass = {76D03 (35D35 35Q35 35R60 60H30 76A05)},
mrnumber = {3906317},
mrreviewer = {Hee Chul Pak},
doi = {10.1016/j.jmaa.2018.10.068},
url = {https://doi.org/10.1016/j.jmaa.2018.10.068}
}
@Article{ shang.zhang:19:talagrand,
author = {Shang, Shijie and Zhang, Tusheng},
title = {Talagrand concentration inequalities for stochastic
heat-type equations under uniform distance},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {24},
year = {2019},
pages = {Paper No. 129, 15},
mrclass = {60H15 (28A33 60E15)},
mrnumber = {4040989},
doi = {10.1214/19-ejp388},
url = {https://doi.org/10.1214/19-ejp388}
}
@Article{ shang.zhang:20:approximations,
author = {Shang, Shijie and Zhang, Tusheng},
title = {Approximations of stochastic {N}avier-{S}tokes equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {130},
year = {2020},
number = {4},
pages = {2407--2432},
issn = {0304-4149},
mrclass = {60H15 (35Q30 35R60)},
mrnumber = {4074707},
mrreviewer = {Dominic Breit},
doi = {10.1016/j.spa.2019.07.007},
url = {https://doi.org/10.1016/j.spa.2019.07.007}
}
@Article{ shang.zhang:21:global,
title = {Global well-posedness to stochastic reaction-diffusion
equations on the real line $\mathbb{R}$ with superlinear
drifts driven by multiplicative space-time white noise},
author = {Shijie Shang and Tusheng Zhang},
year = {2021},
month = {June},
journal = {Preprint arXiv:2106.02879},
url = {http://arXiv.org/abs/2106.02879}
}
@Article{ shang.zhang:22:stochastic,
author = {Shang, Shijie and Zhang, Tusheng},
title = {Stochastic heat equations with logarithmic nonlinearity},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {313},
year = {2022},
pages = {85--121},
issn = {0022-0396},
mrclass = {60H15 (35R60)},
mrnumber = {4362370},
mrreviewer = {Jinlong Wei},
doi = {10.1016/j.jde.2021.12.033},
url = {https://doi.org/10.1016/j.jde.2021.12.033}
}
@Article{ shangerganesh.barani-balan.ea:14:existence,
author = {Shangerganesh, L. and Barani Balan, N. and Balachandran,
K.},
title = {Existence and uniqueness of solutions of degenerate
chemotaxis system},
journal = {Taiwanese J. Math.},
fjournal = {Taiwanese Journal of Mathematics},
volume = {18},
year = {2014},
number = {5},
pages = {1605--1622},
issn = {1027-5487},
mrclass = {35K51 (35A01 35A02 35D30 35K59 35K65 92C17)},
mrnumber = {3265079},
doi = {10.11650/tjm.18.2014.3080},
url = {https://doi.org/10.11650/tjm.18.2014.3080}
}
@Article{ shea.wainger:75:variants,
author = {Shea, Daniel F. and Wainger, Stephen},
title = {Variants of the {W}iener-{L}\'{e}vy theorem, with
applications to stability problems for some {V}olterra
integral equations},
journal = {Amer. J. Math.},
fjournal = {American Journal of Mathematics},
volume = {97},
year = {1975},
pages = {312--343},
issn = {0002-9327},
mrclass = {42A68 (45D05)},
mrnumber = {372521},
mrreviewer = {R. K. Miller},
doi = {10.2307/2373715},
url = {https://doi.org/10.2307/2373715}
}
@Article{ sheffield:05:random,
author = {Sheffield, Scott},
title = {Random surfaces},
journal = {Ast\'{e}risque},
fjournal = {Ast\'{e}risque},
number = {304},
year = {2005},
pages = {vi+175},
issn = {0303-1179},
mrclass = {82B41 (60D05 82-02 82B24)},
mrnumber = {2251117},
mrreviewer = {Richard Kenyon}
}
@Article{ sheffield:07:gaussian,
author = {Sheffield, Scott},
title = {Gaussian free fields for mathematicians},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {139},
year = {2007},
number = {3-4},
pages = {521--541},
issn = {0178-8051},
mrclass = {60K35 (60J65 81T10 82B31)},
mrnumber = {2322706},
mrreviewer = {Ofer Zeitouni},
doi = {10.1007/s00440-006-0050-1},
url = {https://doi.org/10.1007/s00440-006-0050-1}
}
@Article{ sheffield:09:exploration,
author = {Sheffield, Scott},
title = {Exploration trees and conformal loop ensembles},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {147},
year = {2009},
number = {1},
pages = {79--129},
issn = {0012-7094},
mrclass = {60J67 (60D05)},
mrnumber = {2494457},
mrreviewer = {Robert Otto Bauer},
doi = {10.1215/00127094-2009-007},
url = {https://doi.org/10.1215/00127094-2009-007}
}
@Article{ sheffield:16:conformal,
author = {Sheffield, Scott},
title = {Conformal weldings of random surfaces: {SLE} and the
quantum gravity zipper},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {44},
year = {2016},
number = {5},
pages = {3474--3545},
issn = {0091-1798},
mrclass = {60K35 (60D05 60J67)},
mrnumber = {3551203},
doi = {10.1214/15-AOP1055},
url = {https://doi.org/10.1214/15-AOP1055}
}
@Article{ shen.shen.ea:13:asymptotic,
author = {Shen, Wenxian and Shen, Zhongwei and Zhou, Shengfan},
title = {Asymptotic dynamics of a class of coupled oscillators
driven by white noises},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {13},
year = {2013},
number = {4},
pages = {1350002, 23},
issn = {0219-4937,1793-6799},
mrclass = {34F05 (34D45 37H10 60H10)},
mrnumber = {3116923},
mrreviewer = {Zaitang\ Huang},
doi = {10.1142/S0219493713500020},
url = {https://doi.org/10.1142/S0219493713500020}
}
@Article{ shen.shen.ea:22:population,
author = {Shen, Wenxian and Shen, Zhongwei and Xue, Shuwen and Zhou,
Dun},
title = {Population dynamics under climate change: persistence
criterion and effects of fluctuations},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {84},
year = {2022},
number = {4},
pages = {Paper No. 30, 42},
issn = {0303-6812,1432-1416},
mrclass = {92D25 (35C07 35K57 92D40)},
mrnumber = {4392478},
doi = {10.1007/s00285-022-01728-0},
url = {https://doi.org/10.1007/s00285-022-01728-0}
}
@Article{ shen.shen:16:transition,
author = {Shen, Wenxian and Shen, Zhongwei},
title = {Transition fronts in nonlocal {F}isher-{KPP} equations in
time heterogeneous media},
journal = {Commun. Pure Appl. Anal.},
fjournal = {Communications on Pure and Applied Analysis},
volume = {15},
year = {2016},
number = {4},
pages = {1193--1213},
issn = {1534-0392,1553-5258},
mrclass = {35R09 (35B35 35B65 35C07 47J35 92D25)},
mrnumber = {3503652},
doi = {10.3934/cpaa.2016.15.1193},
url = {https://doi.org/10.3934/cpaa.2016.15.1193}
}
@Article{ shen.shen:17:regularity,
author = {Shen, Wenxian and Shen, Zhongwei},
title = {Regularity and stability of transition fronts in nonlocal
equations with time heterogeneous ignition nonlinearity},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {262},
year = {2017},
number = {5},
pages = {3390--3430},
issn = {0022-0396,1090-2732},
mrclass = {35K57 (35B35 35B51 35B65 35C07 35K91 35R09)},
mrnumber = {3584896},
doi = {10.1016/j.jde.2016.11.032},
url = {https://doi.org/10.1016/j.jde.2016.11.032}
}
@Article{ shen.shen:17:regularity*1,
author = {Shen, Wenxian and Shen, Zhongwei},
title = {Regularity of transition fronts in nonlocal dispersal
evolution equations},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {29},
year = {2017},
number = {3},
pages = {1071--1102},
issn = {1040-7294,1572-9222},
mrclass = {35K91 (35A18 35B65 35C07 35K57 92C42)},
mrnumber = {3694821},
doi = {10.1007/s10884-016-9528-4},
url = {https://doi.org/10.1007/s10884-016-9528-4}
}
@Article{ shen.shen:17:stability,
author = {Shen, Wenxian and Shen, Zhongwei},
title = {Stability, uniqueness and recurrence of generalized
traveling waves in time heterogeneous media of ignition
type},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {369},
year = {2017},
number = {4},
pages = {2573--2613},
issn = {0002-9947,1088-6850},
mrclass = {35K58 (35C07 35K57 92D10 92D25)},
mrnumber = {3592521},
mrreviewer = {Thomas\ Giletti},
doi = {10.1090/tran/6726},
url = {https://doi.org/10.1090/tran/6726}
}
@Article{ shen.shen:17:transition,
author = {Shen, Wenxian and Shen, Zhongwei},
title = {Transition fronts in time heterogeneous and random media
of ignition type},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {262},
year = {2017},
number = {1},
pages = {454--485},
issn = {0022-0396,1090-2732},
mrclass = {35K91 (35C07 35K57)},
mrnumber = {3567491},
mrreviewer = {Thomas\ Giletti},
doi = {10.1016/j.jde.2016.09.030},
url = {https://doi.org/10.1016/j.jde.2016.09.030}
}
@Article{ shen.shen:17:transition*1,
author = {Shen, Wenxian and Shen, Zhongwei},
title = {Transition fronts in nonlocal equations with time
heterogeneous ignition nonlinearity},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {37},
year = {2017},
number = {2},
pages = {1013--1037},
issn = {1078-0947,1553-5231},
mrclass = {35K91 (35K57 92D25)},
mrnumber = {3583509},
mrreviewer = {Stefano\ Melchionna},
doi = {10.3934/dcds.2017042},
url = {https://doi.org/10.3934/dcds.2017042}
}
@Article{ shen.shen:20:existence,
author = {Shen, Wenxian and Shen, Zhongwei},
title = {Existence, uniqueness and stability of transition fronts
of non-local equations in time heterogeneous bistable
media},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {31},
year = {2020},
number = {4},
pages = {601--645},
issn = {0956-7925,1469-4425},
mrclass = {35K57 (35C07 35Q92 35R09 92D25)},
mrnumber = {4120254},
mrreviewer = {Guo-Bao\ Zhang},
doi = {10.1017/s0956792519000202},
url = {https://doi.org/10.1017/s0956792519000202}
}
@Article{ shen.tsai:19:stochastic,
author = {Shen, Hao and Tsai, Li-Cheng},
title = {Stochastic telegraph equation limit for the stochastic six
vertex model},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {147},
year = {2019},
number = {6},
pages = {2685--2705},
issn = {0002-9939},
mrclass = {60H15 (82B20)},
mrnumber = {3951443},
doi = {10.1090/proc/14415},
url = {https://doi.org/10.1090/proc/14415}
}
@Article{ shen.van-vleck:94:bifurcation,
author = {Shen, Wen Xian and Van Vleck, Erik S.},
title = {Bifurcation phenomena in a condensed two-phase combustion
model},
journal = {Random Comput. Dynam.},
fjournal = {Random \& Computational Dynamics},
volume = {2},
year = {1994},
number = {2},
pages = {227--245},
issn = {1061-835X},
mrclass = {35B32 (35Q99 80A25)},
mrnumber = {1274637}
}
@Article{ shen.vickers:07:spectral,
author = {Shen, W. and Vickers, G. T.},
title = {Spectral theory for general nonautonomous/random dispersal
evolution operators},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {235},
year = {2007},
number = {1},
pages = {262--297},
issn = {0022-0396,1090-2732},
mrclass = {35K55 (35P15 37H15 39A70 45A05 47B60 47D06 47G20)},
mrnumber = {2309574},
mrreviewer = {Sergey\ G.\ Pyatkov},
doi = {10.1016/j.jde.2006.12.015},
url = {https://doi.org/10.1016/j.jde.2006.12.015}
}
@Article{ shen.wang.ea:16:structure,
author = {Shen, Wenxian and Wang, Yi and Zhou, Dun},
title = {Structure of {$\omega$}-limit sets for almost-periodic
parabolic equations on {$S^1$} with reflection symmetry},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {261},
year = {2016},
number = {12},
pages = {6633--6667},
issn = {0022-0396,1090-2732},
mrclass = {35K59 (35B15 35K57)},
mrnumber = {3562306},
mrreviewer = {Andrea\ Tellini},
doi = {10.1016/j.jde.2016.08.048},
url = {https://doi.org/10.1016/j.jde.2016.08.048}
}
@Article{ shen.wang.ea:19:long-time,
author = {Shen, Wenxian and Wang, Yi and Zhou, Dun},
title = {Long-time behavior of almost periodically forced parabolic
equations on the circle},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {266},
year = {2019},
number = {2-3},
pages = {1377--1413},
issn = {0022-0396,1090-2732},
mrclass = {35K59 (35B15 35B40 35K57)},
mrnumber = {3906218},
mrreviewer = {Christian\ Stinner},
doi = {10.1016/j.jde.2018.07.073},
url = {https://doi.org/10.1016/j.jde.2018.07.073}
}
@Article{ shen.wang.ea:20:almost,
author = {Shen, Wenxian and Wang, Yi and Zhou, Dun},
title = {Almost automorphically and almost periodically forced
circle flows of almost periodic parabolic equations on
{$S^1$}},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {32},
year = {2020},
number = {4},
pages = {1687--1729},
issn = {1040-7294,1572-9222},
mrclass = {58J35},
mrnumber = {4171873},
mrreviewer = {Joseph\ L.\ Shomberg},
doi = {10.1007/s10884-019-09786-7},
url = {https://doi.org/10.1007/s10884-019-09786-7}
}
@Article{ shen.wang.ea:21:non-wandering,
author = {Shen, Wenxian and Wang, Yi and Zhou, Dun},
title = {Non-wandering points for autonomous/periodic parabolic
equations on the circle},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {297},
year = {2021},
pages = {110--143},
issn = {0022-0396,1090-2732},
mrclass = {35K57},
mrnumber = {4278121},
mrreviewer = {Jeffrey\ R.\ Anderson},
doi = {10.1016/j.jde.2021.06.023},
url = {https://doi.org/10.1016/j.jde.2021.06.023}
}
@Article{ shen.wang.ea:22:almost,
author = {Shen, Wenxian and Wang, Yi and Zhou, Dun},
title = {Almost automorphically-forced flows on {$S^{1}$} or
{$\Bbb{R}$} in one-dimensional almost periodic semilinear
heat equations},
journal = {Sci. China Math.},
fjournal = {Science China. Mathematics},
volume = {65},
year = {2022},
number = {9},
pages = {1875--1894},
issn = {1674-7283,1869-1862},
mrclass = {35K58 (35B15 35B40 37C60 37L05)},
mrnumber = {4470357},
mrreviewer = {Mikhail\ B.\ Sevryuk},
doi = {10.1007/s11425-021-1938-2},
url = {https://doi.org/10.1007/s11425-021-1938-2}
}
@Article{ shen.wang:08:carrying,
author = {Shen, Wenxian and Wang, Yi},
title = {Carrying simplices in nonautonomous and random competitive
{K}olmogorov systems},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {245},
year = {2008},
number = {1},
pages = {1--29},
issn = {0022-0396,1090-2732},
mrclass = {37B55 (34C12 34D45 34F05 37H10 37N25 92D25)},
mrnumber = {2422708},
mrreviewer = {Wendi\ Wang},
doi = {10.1016/j.jde.2008.03.024},
url = {https://doi.org/10.1016/j.jde.2008.03.024}
}
@Article{ shen.xie:15:approximations,
author = {Shen, Wenxian and Xie, Xiaoxia},
title = {Approximations of random dispersal operators/equations by
nonlocal dispersal operators/equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {259},
year = {2015},
number = {12},
pages = {7375--7405},
issn = {0022-0396,1090-2732},
mrclass = {35K57 (35A35 35K20 35K91 35R09 45C05 45J05 92D25)},
mrnumber = {3401600},
mrreviewer = {Christopher\ P.\ Grant},
doi = {10.1016/j.jde.2015.08.026},
url = {https://doi.org/10.1016/j.jde.2015.08.026}
}
@Article{ shen.xie:15:on,
author = {Shen, Wenxian and Xie, Xiaoxia},
title = {On principal spectrum points/principal eigenvalues of
nonlocal dispersal operators and applications},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {35},
year = {2015},
number = {4},
pages = {1665--1696},
issn = {1078-0947,1553-5231},
mrclass = {45C05 (45K05 92D25)},
mrnumber = {3285842},
mrreviewer = {Mohamed\ Abdalla\ Darwish},
doi = {10.3934/dcds.2015.35.1665},
url = {https://doi.org/10.3934/dcds.2015.35.1665}
}
@Article{ shen.xie:17:spectral,
author = {Shen, Wenxian and Xie, Xiaoxia},
title = {Spectral theory for nonlocal dispersal operators with time
periodic indefinite weight functions and applications},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {22},
year = {2017},
number = {3},
pages = {1023--1047},
issn = {1531-3492,1553-524X},
mrclass = {35F16 (35P05 35R09 45K05 47B37 92D25)},
mrnumber = {3639154},
mrreviewer = {Eric\ Stachura},
doi = {10.3934/dcdsb.2017051},
url = {https://doi.org/10.3934/dcdsb.2017051}
}
@Article{ shen.xue:20:persistence,
author = {Shen, Wenxian and Xue, Shuwen},
title = {Persistence and spreading speeds of parabolic-elliptic
{K}eller-{S}egel models in shifting environments},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {269},
year = {2020},
number = {7},
pages = {6236--6268},
issn = {0022-0396,1090-2732},
mrclass = {92D40 (35M31 35Q92 92C17)},
mrnumber = {4104955},
mrreviewer = {Lake\ Rylie\ Ritter},
doi = {10.1016/j.jde.2020.04.040},
url = {https://doi.org/10.1016/j.jde.2020.04.040}
}
@Article{ shen.xue:22:forced,
author = {Shen, Wenxian and Xue, Shuwen},
title = {Forced waves of parabolic-elliptic {K}eller-{S}egel models
in shifting environments},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {34},
year = {2022},
number = {4},
pages = {3057--3088},
issn = {1040-7294,1572-9222},
mrclass = {35M10},
mrnumber = {4506792},
doi = {10.1007/s10884-020-09924-6},
url = {https://doi.org/10.1007/s10884-020-09924-6}
}
@Article{ shen.xue:22:persistence,
author = {Shen, Wenxian and Xue, Shuwen},
title = {Persistence and convergence in parabolic-parabolic
chemotaxis system with logistic source on {$\Bbb{R}^N$}},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {42},
year = {2022},
number = {6},
pages = {2893--2925},
issn = {1078-0947,1553-5231},
mrclass = {92C17 (35A01 35B35 35Q92)},
mrnumber = {4421515},
doi = {10.3934/dcds.2022003},
url = {https://doi.org/10.3934/dcds.2022003}
}
@Article{ shen.xue:22:spreading,
author = {Shen, Wenxian and Xue, Shuwen},
title = {Spreading speeds of a parabolic-parabolic chemotaxis model
with logistic source on {$\Bbb{R}^N$}},
journal = {Discrete Contin. Dyn. Syst. Ser. S},
fjournal = {Discrete and Continuous Dynamical Systems. Series S},
volume = {15},
year = {2022},
number = {10},
pages = {2981--3002},
issn = {1937-1632,1937-1179},
mrclass = {35K57 (35B40 35Q92 92C17)},
mrnumber = {4470553},
doi = {10.3934/dcdss.2022074},
url = {https://doi.org/10.3934/dcdss.2022074}
}
@Article{ shen.yi:95:asymptotic,
author = {Shen, Wen Xian and Yi, Yingfei},
title = {Asymptotic almost periodicity of scalar parabolic
equations with almost periodic time dependence},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {122},
year = {1995},
number = {2},
pages = {373--397},
issn = {0022-0396,1090-2732},
mrclass = {35K55 (34G20 35B15 35B40 58F39)},
mrnumber = {1355896},
mrreviewer = {H.\ J.\ Kuiper},
doi = {10.1006/jdeq.1995.1152},
url = {https://doi.org/10.1006/jdeq.1995.1152}
}
@Article{ shen.yi:95:dynamics,
author = {Shen, Wen Xian and Yi, Yingfei},
title = {Dynamics of almost periodic scalar parabolic equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {122},
year = {1995},
number = {1},
pages = {114--136},
issn = {0022-0396,1090-2732},
mrclass = {35K55 (34G20 35B15 35B40 58F39)},
mrnumber = {1356132},
mrreviewer = {H.\ J.\ Kuiper},
doi = {10.1006/jdeq.1995.1141},
url = {https://doi.org/10.1006/jdeq.1995.1141}
}
@Article{ shen.yi:95:on,
author = {Shen, Wen Xian and Yi, Yingfei},
title = {On minimal sets of scalar parabolic equations with
skew-product structures},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {347},
year = {1995},
number = {11},
pages = {4413--4431},
issn = {0002-9947,1088-6850},
mrclass = {58F39 (34C27 35B40 35K55 54H20 58F27)},
mrnumber = {1311916},
mrreviewer = {Janusz\ Mierczy\'{n}ski},
doi = {10.2307/2155044},
url = {https://doi.org/10.2307/2155044}
}
@Article{ shen.yi:96:ergodicity,
author = {Shen, Wenxian and Yi, Yingfei},
title = {Ergodicity of minimal sets in scalar parabolic equations},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {8},
year = {1996},
number = {2},
pages = {299--323},
issn = {1040-7294,1572-9222},
mrclass = {58F39 (35B40 35K60 58F11)},
mrnumber = {1388876},
mrreviewer = {Janusz\ Mierczy\'{n}ski},
doi = {10.1007/BF02218894},
url = {https://doi.org/10.1007/BF02218894}
}
@Article{ shen.yi:98:almost,
author = {Shen, Wenxian and Yi, Yingfei},
title = {Almost automorphic and almost periodic dynamics in
skew-product semiflows},
journal = {Mem. Amer. Math. Soc.},
fjournal = {Memoirs of the American Mathematical Society},
volume = {136},
year = {1998},
number = {647},
pages = {x+93},
issn = {0065-9266,1947-6221},
mrclass = {34D05 (34C27 34C35 35K55 47H20 54H20 58F11)},
mrnumber = {1445493},
mrreviewer = {Russell\ A.\ Johnson},
doi = {10.1090/memo/0647},
url = {https://doi.org/10.1090/memo/0647}
}
@Article{ shen.yi:98:convergence,
author = {Shen, Wenxian and Yi, Yingfei},
title = {Convergence in almost periodic {F}isher and {K}olmogorov
models},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {37},
year = {1998},
number = {1},
pages = {84--102},
issn = {0303-6812,1432-1416},
mrclass = {92D25 (35K57 35Q80 92D40)},
mrnumber = {1636648},
mrreviewer = {Ying\ Guo\ Lei},
doi = {10.1007/s002850050121},
url = {https://doi.org/10.1007/s002850050121}
}
@Article{ shen.zhang:10:spreading,
author = {Shen, Wenxian and Zhang, Aijun},
title = {Spreading speeds for monostable equations with nonlocal
dispersal in space periodic habitats},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {249},
year = {2010},
number = {4},
pages = {747--795},
issn = {0022-0396,1090-2732},
mrclass = {45K05 (35R09 47G10 92D25)},
mrnumber = {2652153},
doi = {10.1016/j.jde.2010.04.012},
url = {https://doi.org/10.1016/j.jde.2010.04.012}
}
@Article{ shen.zhang:12:stationary,
author = {Shen, Wenxian and Zhang, Aijun},
title = {Stationary solutions and spreading speeds of nonlocal
monostable equations in space periodic habitats},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {140},
year = {2012},
number = {5},
pages = {1681--1696},
issn = {0002-9939,1088-6826},
mrclass = {45K05 (45C05 45M20 47G10 92D25 92D40)},
mrnumber = {2869152},
mrreviewer = {Alfredo\ Lorenzi},
doi = {10.1090/S0002-9939-2011-11011-6},
url = {https://doi.org/10.1090/S0002-9939-2011-11011-6}
}
@Article{ shen.zhang:12:traveling,
author = {Shen, Wenxian and Zhang, Aijun},
title = {Traveling wave solutions of spatially periodic nonlocal
monostable equations},
journal = {Comm. Appl. Nonlinear Anal.},
fjournal = {Communications on Applied Nonlinear Analysis},
volume = {19},
year = {2012},
number = {3},
pages = {73--101},
issn = {1074-133X},
mrclass = {35R09 (35C07 45G10 47G20 92D25)},
mrnumber = {2978683}
}
@Article{ shen.zhao:05:convergence,
author = {Shen, Wenxian and Zhao, Xiao-Qiang},
title = {Convergence in almost periodic cooperative systems with a
first integral},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {133},
year = {2005},
number = {1},
pages = {203--212},
issn = {0002-9939,1088-6826},
mrclass = {34C12 (34C27 37B55)},
mrnumber = {2085171},
mrreviewer = {Addolorata\ Salvatore},
doi = {10.1090/S0002-9939-04-07556-2},
url = {https://doi.org/10.1090/S0002-9939-04-07556-2}
}
@Article{ shen.zhou.ea:10:one-dimensional,
author = {Shen, Zhongwei and Zhou, Shengfan and Shen, Wenxian},
title = {One-dimensional random attractor and rotation number of
the stochastic damped sine-{G}ordon equation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {248},
year = {2010},
number = {6},
pages = {1432--1457},
issn = {0022-0396,1090-2732},
mrclass = {60H10},
mrnumber = {2593049},
doi = {10.1016/j.jde.2009.10.007},
url = {https://doi.org/10.1016/j.jde.2009.10.007}
}
@InCollection{ shen:01:dynamical,
author = {Shen, Wenxian},
title = {Dynamical systems and traveling waves in almost periodic
structures},
note = {Special issue in celebration of Jack K. Hale's 70th
birthday, Part 4 (Atlanta, GA/Lisbon, 1998)},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {169},
year = {2001},
number = {2},
pages = {493--548},
issn = {0022-0396,1090-2732},
mrclass = {37L99 (34C27 35B15 35K55)},
mrnumber = {1808473},
mrreviewer = {Stephen\ A.\ Gourley},
doi = {10.1006/jdeq.2000.3906},
url = {https://doi.org/10.1006/jdeq.2000.3906}
}
@Article{ shen:01:global,
author = {Shen, Wenxian},
title = {Global attractor in quasi-periodically forced {J}osephson
junctions},
journal = {Far East J. Dyn. Syst.},
fjournal = {Far East Journal of Dynamical Systems},
volume = {3},
year = {2001},
number = {1},
pages = {51--80},
issn = {0972-1118},
mrclass = {37C70 (34D45 78A99)},
mrnumber = {1848718},
mrreviewer = {Alexandr\ A.\ Zevin}
}
@Article{ shen:03:dynamics,
author = {Shen, Wenxian},
title = {Dynamics in coupled oscillators with recurrent/random
forcing, a {PDE} approach},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {288},
year = {2003},
number = {2},
pages = {586--605},
issn = {0022-247X,1096-0813},
mrclass = {37J45 (34C15 35Q99 37L99 60H15)},
mrnumber = {2020183},
mrreviewer = {Xiao\ Ping\ Yuan},
doi = {10.1016/j.jmaa.2003.09.014},
url = {https://doi.org/10.1016/j.jmaa.2003.09.014}
}
@Article{ shen:03:traveling,
author = {Shen, Wenxian},
title = {Traveling waves in time periodic lattice differential
equations},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {54},
year = {2003},
number = {2},
pages = {319--339},
issn = {0362-546X,1873-5215},
mrclass = {37L60 (34K13 35K55)},
mrnumber = {1979736},
mrreviewer = {Stephen\ A.\ Gourley},
doi = {10.1016/S0362-546X(03)00065-8},
url = {https://doi.org/10.1016/S0362-546X(03)00065-8}
}
@Article{ shen:04:traveling,
author = {Shen, Wenxian},
title = {Traveling waves in diffusive random media},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {16},
year = {2004},
number = {4},
pages = {1011--1060},
issn = {1040-7294,1572-9222},
mrclass = {35K57 (35K15 37H10 37L05)},
mrnumber = {2110054},
mrreviewer = {Bogdan\ A.\ Ka\'{z}mierczak},
doi = {10.1007/s10884-004-7832-x},
url = {https://doi.org/10.1007/s10884-004-7832-x}
}
@Article{ shen:06:traveling,
author = {Shen, Wenxian},
title = {Traveling waves in time dependent bistable equations},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {19},
year = {2006},
number = {3},
pages = {241--278},
issn = {0893-4983},
mrclass = {35K55 (35K15 74N99 92D25)},
mrnumber = {2215558},
mrreviewer = {Mo\ Xun\ Tang}
}
@Article{ shen:07:global,
author = {Shen, Wenxian},
title = {Global attractor and rotation number of a class of
nonlinear noisy oscillators},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {18},
year = {2007},
number = {2-3},
pages = {597--611},
issn = {1078-0947,1553-5231},
mrclass = {37D45 (34D45 37E45 37H10 37N20 60H40 82C31)},
mrnumber = {2291913},
doi = {10.3934/dcds.2007.18.597},
url = {https://doi.org/10.3934/dcds.2007.18.597}
}
@Article{ shen:07:relationship,
author = {Shen, Zhongwei},
title = {A relationship between the {D}irichlet and regularity
problems for elliptic equations},
journal = {Math. Res. Lett.},
fjournal = {Mathematical Research Letters},
volume = {14},
year = {2007},
number = {2},
pages = {205--213},
issn = {1073-2780},
mrclass = {35J25 (35B65)},
mrnumber = {2318619},
doi = {10.4310/MRL.2007.v14.n2.a4},
url = {https://doi.org/10.4310/MRL.2007.v14.n2.a4}
}
@Article{ shen:09:spreading,
author = {Shen, Wenxian},
title = {Spreading and generalized propagating speeds of discrete
{KPP} models in time varying environments},
journal = {Front. Math. China},
fjournal = {Frontiers of Mathematics in China},
volume = {4},
year = {2009},
number = {3},
pages = {523--562},
issn = {1673-3452,1673-3576},
mrclass = {35K55 (35B40 35C07 37L60 37N25 92D40)},
mrnumber = {2525748},
mrreviewer = {Ya.\ \={I}.\ B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1007/s11464-009-0032-6},
url = {https://doi.org/10.1007/s11464-009-0032-6}
}
@Article{ shen:10:variational,
author = {Shen, Wenxian},
title = {Variational principle for spreading speeds and generalized
propagating speeds in time almost periodic and space
periodic {KPP} models},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {362},
year = {2010},
number = {10},
pages = {5125--5168},
issn = {0002-9947,1088-6850},
mrclass = {35K91 (35A15 35B10 35B15 35C07 35K57)},
mrnumber = {2657675},
mrreviewer = {Carlota\ M.\ Cuesta},
doi = {10.1090/S0002-9947-10-04950-0},
url = {https://doi.org/10.1090/S0002-9947-10-04950-0}
}
@Article{ shen:11:existence,
author = {Shen, Wenxian},
title = {Existence, uniqueness, and stability of generalized
traveling waves in time dependent monostable equations},
journal = {J. Dynam. Differential Equations},
fjournal = {Journal of Dynamics and Differential Equations},
volume = {23},
year = {2011},
number = {1},
pages = {1--44},
issn = {1040-7294,1572-9222},
mrclass = {35K58 (35A01 35B15 35B35 35C07 35K57)},
mrnumber = {2772198},
mrreviewer = {Yuzo\ Hosono},
doi = {10.1007/s10884-010-9200-3},
url = {https://doi.org/10.1007/s10884-010-9200-3}
}
@Article{ shen:11:existence*1,
author = {Shen, Wenxian},
title = {Existence of generalized traveling waves in time recurrent
and space periodic monostable equations},
journal = {J. Appl. Anal. Comput.},
fjournal = {The Journal of Applied Analysis and Computation},
volume = {1},
year = {2011},
number = {1},
pages = {69--93},
issn = {2156-907X,2158-5644},
mrclass = {35K57 (35B51 35C07)},
mrnumber = {2881848}
}
@Article{ shen:17:stability,
author = {Shen, Wenxian},
title = {Stability of transition waves and positive entire
solutions of {F}isher-{KPP} equations with time and space
dependence},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {30},
year = {2017},
number = {9},
pages = {3466--3491},
issn = {0951-7715,1361-6544},
mrclass = {35K58 (35B08 35C07 35R09 45K05 58D25 92D25)},
mrnumber = {3694263},
doi = {10.1088/1361-6544/aa7f08},
url = {https://doi.org/10.1088/1361-6544/aa7f08}
}
@Article{ shen:88:horseshoe,
author = {Shen, Wen Xian},
title = {Horseshoe motions and subharmonics of the equation of
{J}-{J} type with small parameters},
journal = {Acta Math. Appl. Sinica (English Ser.)},
fjournal = {Acta Mathematicae Applicatae Sinica. English Series.
Yingyong Shuxue Xuebao},
volume = {4},
year = {1988},
number = {4},
pages = {345--354},
issn = {0168-9673,1618-3932},
mrclass = {58F14 (58F15 58F30 70K40)},
mrnumber = {985115},
mrreviewer = {Jan\ Andres},
doi = {10.1007/BF02007239},
url = {https://doi.org/10.1007/BF02007239}
}
@Article{ shen:89:numerical,
author = {Shen, Wen Xian},
title = {Numerical analysis of the dynamical behavior of the
equation of {J}-{J} type},
journal = {Acta Math. Appl. Sinica (English Ser.)},
fjournal = {Acta Mathematicae Applicatae Sinica. English Series.
Yingyong Shuxue Xuebao},
volume = {5},
year = {1989},
number = {3},
pages = {242--251},
issn = {0168-9673,1618-3932},
mrclass = {58F13 (34A50 34C99 65L99 94C05)},
mrnumber = {1013441},
doi = {10.1007/BF02006007},
url = {https://doi.org/10.1007/BF02006007}
}
@Article{ shen:91:dynamical,
author = {Shen, Wen Xian},
title = {Dynamical behavior in the equation of {J}-{J} type with
large {DC}-current},
note = {A Chinese summary appears in Chinese Ann. Math. Ser. A
{\bf 12} (1991), no. 2, 258},
journal = {Chinese Ann. Math. Ser. B},
fjournal = {Chinese Annals of Mathematics. Series B. Shuxue Niankan. B
Ji},
volume = {12},
year = {1991},
number = {2},
pages = {137--146},
issn = {0252-9599},
mrclass = {34C15 (58F27 78A55)},
mrnumber = {1112247},
mrreviewer = {R.\ Dil\~{a}o}
}
@Book{ shen:92:stability,
author = {Shen, Wenxian},
title = {Stability and bifurcation of traveling wave solutions},
note = {Thesis (Ph.D.)--Georgia Institute of Technology},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1992},
pages = {101},
mrclass = {99-05},
mrnumber = {2688384},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9303143}
}
@Article{ shen:96:lifted,
author = {Shen, Wenxian},
title = {Lifted lattices, hyperbolic structures, and topological
disorders in coupled map lattices},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {56},
year = {1996},
number = {5},
pages = {1379--1399},
issn = {0036-1399},
mrclass = {58F39 (58F13 58F15 82C05)},
mrnumber = {1409125},
mrreviewer = {Volker\ Matthias\ Gundlach},
doi = {10.1137/S0036139995282670},
url = {https://doi.org/10.1137/S0036139995282670}
}
@Article{ shen:99:travelling,
author = {Shen, Wenxian},
title = {Travelling waves in time almost periodic structures
governed by bistable nonlinearities. {I}. {S}tability and
uniqueness},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {159},
year = {1999},
number = {1},
pages = {1--54},
issn = {0022-0396,1090-2732},
mrclass = {35K55 (35B15 35B35 35K15 37L15)},
mrnumber = {1726918},
mrreviewer = {Weiqing\ Xie},
doi = {10.1006/jdeq.1999.3651},
url = {https://doi.org/10.1006/jdeq.1999.3651}
}
@Article{ shen:99:travelling*1,
author = {Shen, Wenxian},
title = {Travelling waves in time almost periodic structures
governed by bistable nonlinearities. {II}. {E}xistence},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {159},
year = {1999},
number = {1},
pages = {55--101},
issn = {0022-0396,1090-2732},
mrclass = {35K55 (35A05 35B15 35K15 37L15)},
mrnumber = {1726919},
mrreviewer = {Weiqing\ Xie},
doi = {10.1006/jdeq.1999.3652},
url = {https://doi.org/10.1006/jdeq.1999.3652}
}
@Article{ shepp.zeitouni:92:note,
author = {Shepp, Larry A. and Zeitouni, Ofer},
title = {A note on conditional exponential moments and
{O}nsager-{M}achlup functionals},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {20},
year = {1992},
number = {2},
pages = {652--654},
issn = {0091-1798,2168-894X},
mrclass = {60G15 (60F10 60J65)},
mrnumber = {1159564},
url = {http://links.jstor.org/sici?sici=0091-1798(199204)20:2<652:ANOCEM>2.0.CO;2-0&origin=MSN}
}
@InCollection{ shepp.zeitouni:93:exponential,
author = {Shepp, L. A. and Zeitouni, O.},
title = {Exponential estimates for convex norms and some
applications},
booktitle = {Barcelona {S}eminar on {S}tochastic {A}nalysis ({S}t.
{F}eliu de {G}u\'{i}xols, 1991)},
series = {Progr. Probab.},
volume = {32},
pages = {203--215},
publisher = {Birkh\"{a}user, Basel},
year = {1993},
isbn = {3-7643-2833-9},
mrclass = {60J60 (60H10 60J65)},
mrnumber = {1265050},
mrreviewer = {H.-J.\ Engelbert}
}
@Article{ sherman:70:general,
author = {Sherman, B.},
title = {A general one-phase {S}tefan problem},
journal = {Quart. Appl. Math.},
fjournal = {Quarterly of Applied Mathematics},
volume = {28},
year = {1970},
pages = {377--382},
issn = {0033-569X},
mrclass = {35.78 (80.00)},
mrnumber = {282082},
mrreviewer = {A. D. Solomon},
doi = {10.1090/qam/282082},
url = {https://doi.org/10.1090/qam/282082}
}
@Article{ sherrington.kirkpatrick:75:solvable,
title = {Solvable Model of a Spin-Glass},
author = {Sherrington, David and Kirkpatrick, Scott},
journal = {Phys. Rev. Lett.},
volume = {35},
issue = {26},
pages = {1792--1796},
numpages = {0},
year = {1975},
month = {Dec},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.35.1792},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.35.1792}
}
@Book{ shi:15:branching,
author = {Shi, Zhan},
title = {Branching random walks},
series = {Lecture Notes in Mathematics},
volume = {2151},
note = {Lecture notes from the 42nd Probability Summer School held
in Saint Flour, 2012, \'{E}cole d'\'{E}t\'{e} de
Probabilit\'{e}s de Saint-Flour. [Saint-Flour Probability
Summer School]},
publisher = {Springer, Cham},
year = {2015},
pages = {x+133},
isbn = {978-3-319-25371-8; 978-3-319-25372-5},
mrclass = {60J80 (60G50 60J85)},
mrnumber = {3444654},
mrreviewer = {Gerold Alsmeyer},
doi = {10.1007/978-3-319-25372-5},
url = {https://doi.org/10.1007/978-3-319-25372-5}
}
@Article{ shi:98:local,
author = {Shi, Zhan},
title = {A local time curiosity in random environment},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {76},
year = {1998},
number = {2},
pages = {231--250},
issn = {0304-4149},
mrclass = {60K35 (60J15 60J55 60J60)},
mrnumber = {1642673},
mrreviewer = {Kiyoshi Kawazu},
doi = {10.1016/S0304-4149(98)00036-2},
url = {https://doi.org/10.1016/S0304-4149(98)00036-2}
}
@Article{ shieh.xiao:06:images,
author = {Shieh, Narn-Rueih and Xiao, Yimin},
title = {Images of {G}aussian random fields: {S}alem sets and
interior points},
journal = {Studia Math.},
fjournal = {Studia Mathematica},
volume = {176},
year = {2006},
number = {1},
pages = {37--60},
issn = {0039-3223,1730-6337},
mrclass = {60G60 (28A80 43A46 60G15 60G17)},
mrnumber = {2263961},
mrreviewer = {Ren\'{e}\ L.\ Schilling},
doi = {10.4064/sm176-1-3},
url = {https://doi.org/10.4064/sm176-1-3}
}
@Article{ shieh.xiao:10:hausdorff,
author = {Shieh, Narn-Rueih and Xiao, Yimin},
title = {Hausdorff and packing dimensions of the images of random
fields},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {16},
year = {2010},
number = {4},
pages = {926--952},
issn = {1350-7265,1573-9759},
mrclass = {60G60 (28A78 62M09)},
mrnumber = {2759163},
mrreviewer = {Marco\ Dozzi},
doi = {10.3150/09-BEJ244},
url = {https://doi.org/10.3150/09-BEJ244}
}
@Article{ shiffman.zelditch.ea:08:overcrowding,
author = {Shiffman, Bernard and Zelditch, Steve and Zrebiec, Scott},
title = {Overcrowding and hole probabilities for random zeros on
complex manifolds},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {57},
year = {2008},
number = {5},
pages = {1977--1997},
issn = {0022-2518},
mrclass = {32L10 (32A60 60F10)},
mrnumber = {2463959},
mrreviewer = {Alberto Parmeggiani},
doi = {10.1512/iumj.2008.57.3700},
url = {https://doi.org/10.1512/iumj.2008.57.3700}
}
@Article{ shiffman.zelditch.ea:11:random,
author = {Shiffman, Bernard and Zelditch, Steve and Zhong, Qi},
title = {Random zeros of complex manifolds: conditional
expectations},
journal = {J. Inst. Math. Jussieu},
fjournal = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
Journal de l'Institut de Math\'{e}matiques de Jussieu},
volume = {10},
year = {2011},
number = {3},
pages = {753--783},
issn = {1474-7480},
mrclass = {32L10 (32A60 58J37 60D99 60G99)},
mrnumber = {2806467},
mrreviewer = {Ahmad Nezakati},
doi = {10.1017/S1474748011000041},
url = {https://doi.org/10.1017/S1474748011000041}
}
@Article{ shiffman.zelditch:08:number,
author = {Shiffman, Bernard and Zelditch, Steve},
title = {Number variance of random zeros on complex manifolds},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {18},
year = {2008},
number = {4},
pages = {1422--1475},
issn = {1016-443X},
mrclass = {32L10 (32A60 60D05)},
mrnumber = {2465693},
mrreviewer = {David Borthwick},
doi = {10.1007/s00039-008-0686-3},
url = {https://doi.org/10.1007/s00039-008-0686-3}
}
@Article{ shiffman.zelditch:10:number,
author = {Shiffman, Bernard and Zelditch, Steve},
title = {Number variance of random zeros on complex manifolds,
{II}: smooth statistics},
journal = {Pure Appl. Math. Q.},
fjournal = {Pure and Applied Mathematics Quarterly},
volume = {6},
year = {2010},
number = {4, Special Issue: In honor of Joseph J. Kohn. Part 2},
pages = {1145--1167},
issn = {1558-8599},
mrclass = {32L10 (32A60 58J37 60D05)},
mrnumber = {2742043},
mrreviewer = {David Borthwick},
doi = {10.4310/PAMQ.2010.v6.n4.a10},
url = {https://doi.org/10.4310/PAMQ.2010.v6.n4.a10}
}
@Article{ shiga.shimizu:80:infinite-dimensional,
author = {Shiga, Tokuzo and Shimizu, Akinobu},
title = {Infinite-dimensional stochastic differential equations and
their applications},
journal = {J. Math. Kyoto Univ.},
fjournal = {Journal of Mathematics of Kyoto University},
volume = {20},
year = {1980},
number = {3},
pages = {395--416},
issn = {0023-608X},
mrclass = {60H10 (60J60 60K35 82A05 92A10)},
mrnumber = {591802},
mrreviewer = {Yu. L. Daletskiu{i}},
doi = {10.1215/kjm/1250522207},
url = {https://doi.org/10.1215/kjm/1250522207}
}
@InCollection{ shiga:88:stepping,
author = {Shiga, Tokuzo},
title = {Stepping stone models in population genetics and
population dynamics},
booktitle = {Stochastic processes in physics and engineering
({B}ielefeld, 1986)},
series = {Math. Appl.},
volume = {42},
pages = {345--355},
publisher = {Reidel, Dordrecht},
year = {1988},
mrclass = {92A10 (92A15)},
mrnumber = {948717},
mrreviewer = {Andris Abakuks}
}
@Article{ shiga:92:ergodic,
author = {Shiga, Tokuzo},
title = {Ergodic theorems and exponential decay of sample paths for
certain interacting diffusion systems},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {29},
year = {1992},
number = {4},
pages = {789--807},
issn = {0030-6126},
mrclass = {60B12 (60J60)},
mrnumber = {1192741},
mrreviewer = {Ingemar Kaj},
url = {http://projecteuclid.org/euclid.ojm/1200784090}
}
@Article{ shiga:94:two,
author = {Shiga, Tokuzo},
title = {Two contrasting properties of solutions for
one-dimensional stochastic partial differential equations},
journal = {Canad. J. Math.},
fjournal = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
volume = {46},
year = {1994},
number = {2},
pages = {415--437},
issn = {0008-414X},
mrclass = {60H15 (35R60)},
mrnumber = {1271224},
mrreviewer = {Ralf Manthey},
doi = {10.4153/CJM-1994-022-8},
url = {https://doi.org/10.4153/CJM-1994-022-8}
}
@Book{ shigekawa:04:stochastic,
author = {Shigekawa, Ichiro},
title = {Stochastic analysis},
series = {Translations of Mathematical Monographs},
volume = {224},
note = {Translated from the 1998 Japanese original by the author,
Iwanami Series in Modern Mathematics},
publisher = {American Mathematical Society, Providence, RI},
year = {2004},
pages = {xii+182},
isbn = {0-8218-2626-3},
mrclass = {60-01 (46E30 47D07 60H05 60H07 60H10)},
mrnumber = {2060917},
mrreviewer = {Rimas Norvai\v{s}a},
doi = {10.1090/mmono/224},
url = {https://doi.org/10.1090/mmono/224}
}
@Article{ shigesada.kawasaki.ea:79:spatial,
author = {Shigesada, Nanako and Kawasaki, Kohkichi and Teramoto,
Ei},
title = {Spatial segregation of interacting species},
journal = {J. Theoret. Biol.},
fjournal = {Journal of Theoretical Biology},
volume = {79},
year = {1979},
number = {1},
pages = {83--99},
issn = {0022-5193,1095-8541},
mrclass = {92A15},
mrnumber = {540951},
doi = {10.1016/0022-5193(79)90258-3},
url = {https://doi.org/10.1016/0022-5193(79)90258-3}
}
@Article{ shinault.tracy:11:asymptotics,
author = {Shinault, Gregory and Tracy, Craig A.},
title = {Asymptotics for the covariance of the {$\rm Airy_2$}
process},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {143},
year = {2011},
number = {1},
pages = {60--71},
issn = {0022-4715},
mrclass = {60K35 (60B20)},
mrnumber = {2787973},
mrreviewer = {Florent Benaych-Georges},
doi = {10.1007/s10955-011-0155-5},
url = {https://doi.org/10.1007/s10955-011-0155-5}
}
@Article{ shirai.takahashi:03:random,
author = {Shirai, Tomoyuki and Takahashi, Yoichiro},
title = {Random point fields associated with certain {F}redholm
determinants. {II}. {F}ermion shifts and their ergodic and
{G}ibbs properties},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {3},
pages = {1533--1564},
issn = {0091-1798},
mrclass = {60G60 (28D20 60G55 82B05 82B10)},
mrnumber = {1989442},
mrreviewer = {Martin Jacobsen},
doi = {10.1214/aop/1055425789},
url = {https://doi.org/10.1214/aop/1055425789}
}
@Article{ shirai.takahashi:03:random*1,
author = {Shirai, Tomoyuki and Takahashi, Yoichiro},
title = {Random point fields associated with certain {F}redholm
determinants. {I}. {F}ermion, {P}oisson and boson point
processes},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {205},
year = {2003},
number = {2},
pages = {414--463},
issn = {0022-1236},
mrclass = {60G55 (15A52 81S25 82B05 82B44)},
mrnumber = {2018415},
mrreviewer = {Oleksiy Khorunzhiy},
doi = {10.1016/S0022-1236(03)00171-X},
url = {https://doi.org/10.1016/S0022-1236(03)00171-X}
}
@Article{ shogenov.kumykova.ea:97:generalized,
author = {Shogenov, V. Kh. and Kumykova, S. K. and
Shkhanukov-Lafishev, M. Kh.},
title = {The generalized transport equation and fractional
derivatives},
journal = {Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki},
fjournal = {Dopov\={i}d\={i} Nats\={i}onal{\cprime}no\"{i}
Akadem\={i}\"{i} Nauk Ukra\"{i}ni. Matematika.
Prirodoznavstvo. Tekhn\={i}chn\={i} Nauki},
year = {1997},
number = {12},
pages = {47--54},
issn = {1025-6415},
mrclass = {35Q99 (26A33 82C70)},
mrnumber = {1697166}
}
@Book{ shorack.wellner:86:empirical,
author = {Shorack, Galen R. and Wellner, Jon A.},
title = {Empirical processes with applications to statistics},
series = {Wiley Series in Probability and Mathematical Statistics:
Probability and Mathematical Statistics},
publisher = {John Wiley \& Sons, Inc., New York},
year = {1986},
pages = {xxxviii+938},
isbn = {0-471-86725-X},
mrclass = {60-02 (60F17 62-02 62G10 62G30)},
mrnumber = {838963},
mrreviewer = {S\'{a}ndor Cs\"{o}rg\H{o}}
}
@InCollection{ sierocinski.zabczyk:89:on,
author = {Sieroci\'{n}ski, Andrzej and Zabczyk, Jerzy},
title = {On a packing problem},
booktitle = {Stochastic systems and optimization ({W}arsaw, 1988)},
series = {Lect. Notes Control Inf. Sci.},
volume = {136},
pages = {356--359},
publisher = {Springer, Berlin},
year = {1989},
mrclass = {93E20 (90C15)},
mrnumber = {1180793},
doi = {10.1007/BFb0002695},
url = {https://doi.org/10.1007/BFb0002695}
}
@Article{ sierocinski.zabczyk:89:on*1,
author = {Sieroci\'{n}ski, Andrzej and Zabczyk, Jerzy},
title = {On a packing problem},
journal = {Bull. Polish Acad. Sci. Math.},
fjournal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {37},
year = {1989},
number = {1-6},
pages = {305--313 (1990)},
issn = {0239-7269},
mrclass = {90C39 (90B99)},
mrnumber = {1101484}
}
@Article{ silverstein.bai:95:on,
author = {Silverstein, Jack W. and Bai, Z. D.},
title = {On the empirical distribution of eigenvalues of a class of
large-dimensional random matrices},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {54},
year = {1995},
number = {2},
pages = {175--192},
issn = {0047-259X},
mrclass = {60F15 (62H99)},
mrnumber = {1345534},
mrreviewer = {A. K. Gupta},
doi = {10.1006/jmva.1995.1051},
url = {https://doi.org/10.1006/jmva.1995.1051}
}
@Article{ silverstein:67:new,
author = {Silverstein, M. L.},
title = {A new approach to local times},
journal = {J. Math. Mech.},
volume = {17},
year = {1967/1968},
pages = {1023--1054},
mrclass = {60.62},
mrnumber = {0226734},
mrreviewer = {N. C. Jain}
}
@Article{ silverstein:85:smallest,
author = {Silverstein, Jack W.},
title = {The smallest eigenvalue of a large-dimensional {W}ishart
matrix},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {13},
year = {1985},
number = {4},
pages = {1364--1368},
issn = {0091-1798},
mrclass = {60F15 (62H10)},
mrnumber = {806232},
mrreviewer = {Eric V. Slud},
url = {http://links.jstor.org/sici?sici=0091-1798(198511)13:4<1364:TSEOAL>2.0.CO;2-L&origin=MSN}
}
@Article{ simon.derrida:08:quasi-stationary,
author = {Simon, Damien and Derrida, Bernard},
title = {Quasi-stationary regime of a branching random walk in
presence of an absorbing wall},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {131},
year = {2008},
number = {2},
pages = {203--233},
issn = {0022-4715,1572-9613},
mrclass = {82B41 (60G10 60J80)},
mrnumber = {2386578},
doi = {10.1007/s10955-008-9504-4},
url = {https://doi.org/10.1007/s10955-008-9504-4}
}
@Article{ simon.wolff:86:singular,
author = {Simon, Barry and Wolff, Tom},
title = {Singular continuous spectrum under rank one perturbations
and localization for random {H}amiltonians},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {39},
year = {1986},
number = {1},
pages = {75--90},
issn = {0010-3640,1097-0312},
mrclass = {47A55 (47B25 81C10 82A05)},
mrnumber = {820340},
doi = {10.1002/cpa.3160390105},
url = {https://doi.org/10.1002/cpa.3160390105}
}
@Book{ simon:05:functional,
author = {Simon, Barry},
title = {Functional integration and quantum physics},
edition = {Second},
publisher = {AMS Chelsea Publishing, Providence, RI},
year = {2005},
pages = {xiv+306},
isbn = {0-8218-3582-3},
mrclass = {81-02 (58D30 60H05 60J65 81T40)},
mrnumber = {2105995},
doi = {10.1090/chel/351},
url = {https://doi.org/10.1090/chel/351}
}
@Book{ simon:05:orthogonal,
author = {Simon, Barry},
title = {Orthogonal polynomials on the unit circle. {P}art 2},
series = {American Mathematical Society Colloquium Publications},
volume = {54, Part 2},
note = {Spectral theory},
publisher = {American Mathematical Society, Providence, RI},
year = {2005},
pages = {i--xxii and 467--1044},
isbn = {0-8218-3675-7},
mrclass = {42-02 (30C85 33C45 42C05 47B36 47N50)},
mrnumber = {2105089},
mrreviewer = {P.\ L.\ Duren},
doi = {10.1090/coll/054.2/01},
url = {https://doi.org/10.1090/coll/054.2/01}
}
@Book{ simon:05:orthogonal*1,
author = {Simon, Barry},
title = {Orthogonal polynomials on the unit circle. {P}art 1},
series = {American Mathematical Society Colloquium Publications},
volume = {54, Part 1},
note = {Classical theory},
publisher = {American Mathematical Society, Providence, RI},
year = {2005},
pages = {xxvi+466},
isbn = {0-8218-3446-0},
mrclass = {42-02 (30C85 33C45 42C05 47B36 47N50)},
mrnumber = {2105088},
mrreviewer = {P.\ L.\ Duren},
doi = {10.1090/coll054.1},
url = {https://doi.org/10.1090/coll054.1}
}
@Book{ simon:05:trace,
author = {Simon, Barry},
title = {Trace ideals and their applications},
series = {Mathematical Surveys and Monographs},
volume = {120},
edition = {Second},
publisher = {American Mathematical Society, Providence, RI},
year = {2005},
pages = {viii+150},
isbn = {0-8218-3581-5},
mrclass = {47L20 (47A40 47A55 47B10 47B36 47E05 81Q15 81U99)},
mrnumber = {2154153},
mrreviewer = {Pavel B. Kurasov},
doi = {10.1090/surv/120},
url = {https://doi.org/10.1090/surv/120}
}
@Article{ simon:07:cmv,
author = {Simon, Barry},
title = {C{MV} matrices: five years after},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {208},
year = {2007},
number = {1},
pages = {120--154},
issn = {0377-0427,1879-1778},
mrclass = {47B36 (15A52)},
mrnumber = {2347741},
mrreviewer = {Petru\ A.\ Cojuhari},
doi = {10.1016/j.cam.2006.10.033},
url = {https://doi.org/10.1016/j.cam.2006.10.033}
}
@Book{ simon:11:szeg,
author = {Simon, Barry},
title = {Szeg\H o's theorem and its descendants},
series = {M. B. Porter Lectures},
note = {Spectral theory for $L^2$ perturbations of orthogonal
polynomials},
publisher = {Princeton University Press, Princeton, NJ},
year = {2011},
pages = {xii+650},
isbn = {978-0-691-14704-8},
mrclass = {47B36 (37K15 37K60 42-02 42C05 47A10 47B35)},
mrnumber = {2743058},
mrreviewer = {Harry\ Dym}
}
@Article{ simon:14:comparing,
author = {Simon, Thomas},
title = {Comparing {F}r\'{e}chet and positive stable laws},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
pages = {no. 16, 25},
mrclass = {60E05 (33E12 60E15 60G52 62E15)},
mrnumber = {3164769},
doi = {10.1214/EJP.v19-3058},
url = {https://doi.org/10.1214/EJP.v19-3058}
}
@Book{ simon:15:operator,
author = {Simon, Barry},
title = {Operator theory},
series = {A Comprehensive Course in Analysis},
volume = {Part 4},
publisher = {American Mathematical Society, Providence, RI},
year = {2015},
pages = {xviii+749},
isbn = {978-1-4704-1103-9},
mrclass = {47-01 (34-01 35-01 42B35 42B37 43-01 46-01 81-01)},
mrnumber = {3364494},
mrreviewer = {Fritz\ Gesztesy},
doi = {10.1090/simon/004},
url = {https://doi.org/10.1090/simon/004}
}
@Book{ simon:71:quantum,
author = {Simon, Barry},
title = {Quantum mechanics for {H}amiltonians defined as quadratic
forms},
series = {Princeton Series in Physics},
publisher = {Princeton University Press, Princeton, NJ},
year = {1971},
pages = {xv+244},
mrclass = {81.00},
mrnumber = {455975},
mrreviewer = {Thomas\ Spencer}
}
@Book{ simon:74:p-2,
author = {Simon, Barry},
title = {The {$P(\phi )_{2}$} {E}uclidean (quantum) field theory},
series = {Princeton Series in Physics},
publisher = {Princeton University Press, Princeton, NJ},
year = {1974},
pages = {xx+392},
mrclass = {81.60},
mrnumber = {489552},
mrreviewer = {Raymond Streater}
}
@Article{ simon:76:bound,
author = {Simon, Barry},
title = {The bound state of weakly coupled {S}chr\"odinger
operators in one and two dimensions},
journal = {Ann. Physics},
fjournal = {Annals of Physics},
volume = {97},
year = {1976},
number = {2},
pages = {279--288},
issn = {0003-4916,1096-035X},
mrclass = {35J10},
mrnumber = {404846},
mrreviewer = {M.\ S. P. Eastham},
doi = {10.1016/0003-4916(76)90038-5},
url = {https://doi.org/10.1016/0003-4916(76)90038-5}
}
@Article{ simon:77:notes,
author = {Simon, Barry},
title = {Notes on infinite determinants of {H}ilbert space
operators},
journal = {Advances in Math.},
fjournal = {Advances in Mathematics},
volume = {24},
year = {1977},
number = {3},
pages = {244--273},
issn = {0001-8708},
mrclass = {47B10},
mrnumber = {482328},
doi = {10.1016/0001-8708(77)90057-3},
url = {https://doi.org/10.1016/0001-8708(77)90057-3}
}
@Article{ simon:78:canonical,
author = {Simon, Barry},
title = {A canonical decomposition for quadratic forms with
applications to monotone convergence theorems},
journal = {J. Functional Analysis},
fjournal = {Journal of Functional Analysis},
volume = {28},
year = {1978},
number = {3},
pages = {377--385},
issn = {0022-1236},
mrclass = {47B25},
mrnumber = {500266},
mrreviewer = {Tosio\ Kato},
doi = {10.1016/0022-1236(78)90094-0},
url = {https://doi.org/10.1016/0022-1236(78)90094-0}
}
@Book{ simon:79:functional,
author = {Simon, Barry},
title = {Functional integration and quantum physics},
series = {Pure and Applied Mathematics},
volume = {86},
publisher = {Academic Press, Inc. [Harcourt Brace Jovanovich,
Publishers], New York-London},
year = {1979},
pages = {ix+296},
isbn = {0-12-644250-9},
mrclass = {81C35 (58D30 60J65 81-02)},
mrnumber = {544188},
mrreviewer = {V. A. Malyshev}
}
@Article{ simon:79:maximal,
author = {Simon, Barry},
title = {Maximal and minimal {S}chr\"odinger forms},
journal = {J. Operator Theory},
fjournal = {Journal of Operator Theory},
volume = {1},
year = {1979},
number = {1},
pages = {37--47},
issn = {0379-4024},
mrclass = {35P05 (81C10)},
mrnumber = {526289},
mrreviewer = {Woodford\ W.\ Zachary}
}
@Book{ simon:79:trace,
author = {Simon, Barry},
title = {Trace ideals and their applications},
series = {London Mathematical Society Lecture Note Series},
volume = {35},
publisher = {Cambridge University Press, Cambridge-New York},
year = {1979},
pages = {viii+134},
isbn = {0-521-22286-9},
mrclass = {47D25 (47A40 81F99)},
mrnumber = {541149},
mrreviewer = {M.\ Demuth}
}
@Article{ simon:82:schrodinger,
author = {Simon, Barry},
title = {Schr\"{o}dinger semigroups},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {7},
year = {1982},
number = {3},
pages = {447--526},
issn = {0273-0979},
mrclass = {81-02 (35-02 35P05 47D05 47F05 81C10)},
mrnumber = {670130},
mrreviewer = {Ren\'{e} Carmona},
doi = {10.1090/S0273-0979-1982-15041-8},
url = {https://doi.org/10.1090/S0273-0979-1982-15041-8}
}
@Article{ simon:83:holonomy,
author = {Simon, Barry},
title = {Holonomy, the quantum adiabatic theorem, and {B}erry's
phase},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {51},
year = {1983},
number = {24},
pages = {2167--2170},
issn = {0031-9007},
mrclass = {81C10 (53C05 53C80 58F13 58G25)},
mrnumber = {726866},
doi = {10.1103/PhysRevLett.51.2167},
url = {https://doi.org/10.1103/PhysRevLett.51.2167}
}
@Article{ simon:83:semiclassical,
author = {Simon, Barry},
title = {Semiclassical analysis of low lying eigenvalues. {I}.
{N}ondegenerate minima: asymptotic expansions},
journal = {Ann. Inst. H. Poincar\'e{} Sect. A (N.S.)},
fjournal = {Annales de l'Institut Henri Poincar\'e. Section A.
Physique Th\'eorique. Nouvelle S\'erie},
volume = {38},
year = {1983},
number = {3},
pages = {295--308},
issn = {0246-0211},
mrclass = {81C12 (35P20)},
mrnumber = {708966},
mrreviewer = {Jean\ Michel\ Combes}
}
@Article{ simon:87:compact,
author = {Simon, Jacques},
title = {Compact sets in the space {$L^p(0,T;B)$}},
journal = {Ann. Mat. Pura Appl. (4)},
fjournal = {Annali di Matematica Pura ed Applicata. Serie Quarta},
volume = {146},
year = {1987},
pages = {65--96},
issn = {0003-4622},
mrclass = {46E40 (46E30)},
mrnumber = {916688},
mrreviewer = {James Bell Cooper},
doi = {10.1007/BF01762360},
url = {https://doi.org/10.1007/BF01762360}
}
@Book{ simon:93:statistical,
author = {Simon, Barry},
title = {The statistical mechanics of lattice gases. {V}ol. {I}},
series = {Princeton Series in Physics},
publisher = {Princeton University Press, Princeton, NJ},
year = {1993},
pages = {x+522},
isbn = {0-691-08779-2},
mrclass = {82-02 (46L60 46N55 47N55 82B20)},
mrnumber = {1239893},
mrreviewer = {H.\ Araki},
doi = {10.1515/9781400863433},
url = {https://doi.org/10.1515/9781400863433}
}
@InCollection{ simon:95:spectral,
author = {Simon, Barry},
title = {Spectral analysis of rank one perturbations and
applications},
booktitle = {Mathematical quantum theory. {II}. {S}chr\"odinger
operators ({V}ancouver, {BC}, 1993)},
series = {CRM Proc. Lecture Notes},
volume = {8},
pages = {109--149},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1995},
isbn = {0-8218-0366-2},
mrclass = {47A40 (47N50 81Q10 82B10)},
mrnumber = {1332038},
mrreviewer = {Alexei\ Yu.\ Konstantinov},
doi = {10.1090/crmp/008/04},
url = {https://doi.org/10.1090/crmp/008/04}
}
@Book{ simon:96:representations,
author = {Simon, Barry},
title = {Representations of finite and compact groups},
series = {Graduate Studies in Mathematics},
volume = {10},
publisher = {American Mathematical Society, Providence, RI},
year = {1996},
pages = {xii+266},
isbn = {0-8218-0453-7},
mrclass = {22-01 (20C05 20C15 22E15)},
mrnumber = {1363490},
mrreviewer = {Antoni\ Wawrzy\'nczyk},
doi = {10.1090/gsm/010},
url = {https://doi.org/10.1090/gsm/010}
}
@Article{ simon:98:classical,
author = {Simon, Barry},
title = {The classical moment problem as a self-adjoint finite
difference operator},
journal = {Adv. Math.},
fjournal = {Advances in Mathematics},
volume = {137},
year = {1998},
number = {1},
pages = {82--203},
issn = {0001-8708},
mrclass = {47A57 (39A70 44A60 47B39)},
mrnumber = {1627806},
doi = {10.1006/aima.1998.1728},
url = {https://doi.org/10.1006/aima.1998.1728}
}
@Article{ simon:99:new,
author = {Simon, Barry},
title = {A new approach to inverse spectral theory. {I}.
{F}undamental formalism},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {150},
year = {1999},
number = {3},
pages = {1029--1057},
issn = {0003-486X,1939-8980},
mrclass = {34L05 (34A55 34B24 47E05)},
mrnumber = {1740987},
mrreviewer = {Paul\ E.\ Sacks},
doi = {10.2307/121061},
url = {https://doi.org/10.2307/121061}
}
@Article{ sina:92:statistics,
author = {Sina\u{\i}, Ya. G.},
title = {Statistics of shocks in solutions of inviscid {B}urgers
equation},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {148},
year = {1992},
number = {3},
pages = {601--621},
issn = {0010-3616},
mrclass = {35Q53 (60H15 76B15 76L05)},
mrnumber = {1181071},
mrreviewer = {Cun-Zheng Wang},
url = {http://projecteuclid.org/euclid.cmp/1104251046}
}
@Article{ sinai.soshnikov:98:central,
author = {Sinai, Ya. and Soshnikov, A.},
title = {Central limit theorem for traces of large random symmetric
matrices with independent matrix elements},
journal = {Bol. Soc. Brasil. Mat. (N.S.)},
fjournal = {Boletim da Sociedade Brasileira de Matem\'{a}tica. Nova
S\'{e}rie},
volume = {29},
year = {1998},
number = {1},
pages = {1--24},
issn = {0100-3569},
mrclass = {60F05 (15A52 60F99)},
mrnumber = {1620151},
mrreviewer = {Oleksiy Khorunzhiy},
doi = {10.1007/BF01245866},
url = {https://doi.org/10.1007/BF01245866}
}
@Article{ sinai:95:remark,
author = {Sinai, Yakov G.},
title = {A remark concerning random walks with random potentials},
journal = {Fund. Math.},
fjournal = {Fundamenta Mathematicae},
volume = {147},
year = {1995},
number = {2},
pages = {173--180},
issn = {0016-2736},
mrclass = {60J15 (82B41 82B44 82D30)},
mrnumber = {1341729},
mrreviewer = {Aernout C. D. van Enter},
doi = {10.4064/fm-147-2-173-180},
url = {https://doi.org/10.4064/fm-147-2-173-180}
}
@Article{ sinaui.soshnikov:98:refinement,
author = {Sinau{i}, Ya. G. and Soshnikov, A. B.},
title = {A refinement of {W}igner's semicircle law in a
neighborhood of the spectrum edge for random symmetric
matrices},
journal = {Funktsional. Anal. i Prilozhen.},
fjournal = {Funktsional{\cprime}nyu{i} Analiz i ego Prilozheniya},
volume = {32},
year = {1998},
number = {2},
pages = {56--79, 96},
issn = {0374-1990},
mrclass = {82B41 (15A52 60F99)},
mrnumber = {1647832},
mrreviewer = {Boris A. Khoruzhenko},
doi = {10.1007/BF02482597},
url = {https://doi.org/10.1007/BF02482597}
}
@Article{ sinaui:82:limit,
author = {Sinau{i}, Ya. G.},
title = {The limit behavior of a one-dimensional random walk in a
random environment},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Akademiya Nauk SSSR. Teoriya Veroyatnosteu{i} i ee
Primeneniya},
volume = {27},
year = {1982},
number = {2},
pages = {247--258},
issn = {0040-361X},
mrclass = {60J15 (58F11 60K35 82A42 82A70)},
mrnumber = {657919},
mrreviewer = {F. L. Spitzer}
}
@Article{ sivashinsky:77:nonlinear,
author = {Sivashinsky, G. I.},
title = {Nonlinear analysis of hydrodynamic instability in laminar
flames. {I}. {D}erivation of basic equations},
journal = {Acta Astronaut.},
fjournal = {Acta Astronautica. Journal of the International Academy of
Astronautics},
volume = {4},
year = {1977},
number = {11-12, 11},
pages = {1177--1206},
issn = {0094-5765},
mrclass = {76.35},
mrnumber = {502829},
mrreviewer = {Salvatore Rionero},
doi = {10.1016/0094-5765(77)90096-0},
url = {https://doi.org/10.1016/0094-5765(77)90096-0}
}
@Article{ skorohod:56:limit,
author = {Skorohod, A. V.},
title = {Limit theorems for stochastic processes},
journal = {Teor. Veroyatnost. i Primenen.},
fjournal = {Akademija Nauk SSSR. Teorija Verojatnosteu{i} i ee
Primenenija},
volume = {1},
year = {1956},
pages = {289--319},
issn = {0040-361x},
mrclass = {60.0X},
mrnumber = {0084897},
mrreviewer = {J. L. Doob}
}
@Article{ skorohod:75:on,
author = {Skorohod, A. V.},
title = {On a generalization of the stochastic integral},
journal = {Teor. Verojatnost. i Primenen.},
fjournal = {Akademija Nauk SSSR. Teorija Verojatnosteu{i} i ee
Primenenija},
volume = {20},
year = {1975},
number = {2},
pages = {223--238},
issn = {0040-361x},
mrclass = {60H05},
mrnumber = {391258},
mrreviewer = {M. P. Er\v{s}ov}
}
@Article{ skoulakis.adler:01:superprocesses,
author = {Skoulakis, Georgios and Adler, Robert J.},
title = {Superprocesses over a stochastic flow},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {11},
year = {2001},
number = {2},
pages = {488--543},
issn = {1050-5164},
mrclass = {60G57 (60F05 60H15 60J80)},
mrnumber = {1843056},
mrreviewer = {Achim Klenke},
doi = {10.1214/aoap/1015345302},
url = {https://doi.org/10.1214/aoap/1015345302}
}
@Article{ slade.tomberg:16:critical,
author = {Slade, Gordon and Tomberg, Alexandre},
title = {Critical correlation functions for the 4-dimensional
weakly self-avoiding walk and {$n$}-component
{$|\varphi|^4$} model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {342},
year = {2016},
number = {2},
pages = {675--737},
issn = {0010-3616},
mrclass = {82C41},
mrnumber = {3459163},
mrreviewer = {Uwe C. T\"{a}uber},
doi = {10.1007/s00220-015-2488-4},
url = {https://doi.org/10.1007/s00220-015-2488-4}
}
@Book{ slade:06:lace,
author = {Slade, G.},
title = {The lace expansion and its applications},
series = {Lecture Notes in Mathematics},
volume = {1879},
note = {Lectures from the 34th Summer School on Probability Theory
held in Saint-Flour, July 6--24, 2004, Edited and with a
foreword by Jean Picard},
publisher = {Springer-Verlag, Berlin},
year = {2006},
pages = {xiv+228},
isbn = {978-3-540-31189-8; 3-540-31189-0},
mrclass = {60K35 (82B27)},
mrnumber = {2239599},
mrreviewer = {Akira Sakai}
}
@Article{ slade:18:critical,
author = {Slade, Gordon},
title = {Critical exponents for long-range {$O(n)$} models below
the upper critical dimension},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {358},
year = {2018},
number = {1},
pages = {343--436},
issn = {0010-3616},
mrclass = {82C22 (82C28)},
mrnumber = {3772040},
mrreviewer = {B. L. Granovsky},
doi = {10.1007/s00220-017-3024-5},
url = {https://doi.org/10.1007/s00220-017-3024-5}
}
@Article{ slade:19:self-avoiding,
author = {Slade, Gordon},
title = {Self-avoiding walk, spin systems and renormalization},
journal = {Proc. A.},
fjournal = {Proceedings A},
volume = {475},
year = {2019},
number = {2221},
pages = {20180549, 21},
issn = {1364-5021},
mrclass = {82B41},
mrnumber = {3917528},
doi = {10.1098/rspa.2018.0549},
url = {https://doi.org/10.1098/rspa.2018.0549}
}
@Article{ slaoui.tudor:18:limit,
author = {Slaoui, M. and Tudor, C. A.},
title = {Limit behavior of the {R}osenblatt {O}rnstein-{U}hlenbeck
process with respect to the {H}urst index},
journal = {Teor. \u Imov\=\i r. Mat. Stat.},
fjournal = {Teor\=\i ya \u Imov\=\i rnoste\u i\ ta Matematichna
Statistika. Ki\"ivs{\cprime}ki\u i\ Un\=\i versitet \=\i
meni Tarasa Shevchenka},
year = {2018},
number = {98},
pages = {173--187},
issn = {0868-6904},
mrclass = {60H05 (60G22 60H15)},
mrnumber = {3824686},
mrreviewer = {Omar\ Mellah},
doi = {10.1090/tpms/1070},
url = {https://doi.org/10.1090/tpms/1070}
}
@Article{ slaoui.tudor:19:linear,
author = {Slaoui, Meryem and Tudor, C. A.},
title = {The linear stochastic heat equation with {H}ermite noise},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {22},
year = {2019},
number = {3},
pages = {1950022, 23},
issn = {0219-0257,1793-6306},
mrclass = {60H05 (60G22 60H15)},
mrnumber = {4064931},
mrreviewer = {Hua\ Zhang},
doi = {10.1142/S021902571950022X},
url = {https://doi.org/10.1142/S021902571950022X}
}
@Book{ slavik:07:product,
author = {Slav\'{i}k, Anton\'{i}n},
title = {Product integration, its history and applications},
series = {Neu{c}as Center for Mathematical Modeling},
volume = {1},
note = {Corrected translation of the Czech original, D\v{e}jiny
Matematiky/History of Mathematics, 29},
publisher = {Matfyzpress, Prague},
year = {2007},
pages = {iv+147},
isbn = {80-7378-006-2},
mrclass = {28-01 (01A55 01A60 26A42 28-03)},
mrnumber = {2917851},
mrreviewer = {C. W. Swartz}
}
@Article{ slavnov:07:algebraic,
author = {Slavnov, N. A.},
title = {The algebraic {B}ethe ansatz and quantum integrable
systems},
journal = {Uspekhi Mat. Nauk},
fjournal = {Uspekhi Matematicheskikh Nauk},
volume = {62},
year = {2007},
number = {4(376)},
pages = {91--132},
issn = {0042-1316},
mrclass = {82B23 (81R12)},
mrnumber = {2358738},
mrreviewer = {Alexander N. Manashov},
doi = {10.1070/RM2007v062n04ABEH004430},
url = {https://doi.org/10.1070/RM2007v062n04ABEH004430}
}
@InCollection{ sleeman.kuznetsov:10:heun,
author = {Sleeman, B. D. and Kuznetsov, V. B.},
title = {Heun functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {709--721},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33E30 (34A05)},
mrnumber = {2655371}
}
@Article{ slepian:62:one-sided,
author = {Slepian, David},
title = {The one-sided barrier problem for {G}aussian noise},
journal = {Bell System Tech. J.},
fjournal = {The Bell System Technical Journal},
volume = {41},
year = {1962},
pages = {463--501},
issn = {0005-8580},
mrclass = {60.40},
mrnumber = {133183},
mrreviewer = {G. Newell},
doi = {10.1002/j.1538-7305.1962.tb02419.x},
url = {https://doi.org/10.1002/j.1538-7305.1962.tb02419.x}
}
@Article{ smirnov.khavin:98:approximation,
author = {Smirnov, S. K. and Khavin, V. P.},
title = {Approximation and extension problems for some classes of
vector fields},
journal = {Algebra i Analiz},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Algebra i Analiz},
volume = {10},
year = {1998},
number = {3},
pages = {133--162},
issn = {0234-0852},
mrclass = {41A65 (49Q15 58A10)},
mrnumber = {1628034},
mrreviewer = {Andrew\ Bucki}
}
@Article{ smirnov.werner:01:critical,
author = {Smirnov, Stanislav and Werner, Wendelin},
title = {Critical exponents for two-dimensional percolation},
journal = {Math. Res. Lett.},
fjournal = {Mathematical Research Letters},
volume = {8},
year = {2001},
number = {5-6},
pages = {729--744},
issn = {1073-2780},
mrclass = {60K35},
mrnumber = {1879816},
doi = {10.4310/MRL.2001.v8.n6.a4},
url = {https://doi.org/10.4310/MRL.2001.v8.n6.a4}
}
@Article{ smirnov:00:symbolic,
author = {Smirnov, Stanislav},
title = {Symbolic dynamics and {C}ollet-{E}ckmann conditions},
journal = {Internat. Math. Res. Notices},
fjournal = {International Mathematics Research Notices},
year = {2000},
number = {7},
pages = {333--351},
issn = {1073-7928,1687-0247},
mrclass = {37F45 (37F15)},
mrnumber = {1749741},
mrreviewer = {Feliks\ Przytycki},
doi = {10.1155/S1073792800000192},
url = {https://doi.org/10.1155/S1073792800000192}
}
@Article{ smirnov:01:critical,
author = {Smirnov, Stanislav},
title = {Critical percolation in the plane: conformal invariance,
{C}ardy's formula, scaling limits},
journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
fjournal = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie
I. Math\'{e}matique},
volume = {333},
year = {2001},
number = {3},
pages = {239--244},
issn = {0764-4442},
mrclass = {60K35 (82B43)},
mrnumber = {1851632},
doi = {10.1016/S0764-4442(01)01991-7},
url = {https://doi.org/10.1016/S0764-4442(01)01991-7}
}
@Article{ smirnov:01:on,
author = {Smirnov, Stanislav K.},
title = {On supports of dynamical laminations and biaccessible
points in polynomial {J}ulia sets},
journal = {Colloq. Math.},
fjournal = {Colloquium Mathematicum},
volume = {87},
year = {2001},
number = {2},
pages = {287--295},
issn = {0010-1354,1730-6302},
mrclass = {37F50 (30D05)},
mrnumber = {1814670},
mrreviewer = {Peter\ Ha\"{i}ssinsky},
doi = {10.4064/cm87-2-11},
url = {https://doi.org/10.4064/cm87-2-11}
}
@InCollection{ smirnov:05:critical,
author = {Smirnov, Stanislav},
title = {Critical percolation and conformal invariance},
booktitle = {X{IV}th {I}nternational {C}ongress on {M}athematical
{P}hysics},
pages = {99--112},
publisher = {World Sci. Publ., Hackensack, NJ},
year = {2005},
isbn = {981-256-201-X},
mrclass = {82B43 (60K35 81T27 82-02)},
mrnumber = {2227824},
mrreviewer = {Almut\ Burchard}
}
@InCollection{ smirnov:06:towards,
author = {Smirnov, Stanislav},
title = {Towards conformal invariance of 2{D} lattice models},
booktitle = {International {C}ongress of {M}athematicians. {V}ol.
{II}},
pages = {1421--1451},
publisher = {Eur. Math. Soc., Z\"{u}rich},
year = {2006},
isbn = {978-3-03719-022-7},
mrclass = {82B20 (30C35 60K35 81T40 82B43)},
mrnumber = {2275653},
mrreviewer = {Roland\ M.\ Friedrich}
}
@Article{ smirnov:10:conformal,
author = {Smirnov, Stanislav},
title = {Conformal invariance in random cluster models. {I}.
{H}olomorphic fermions in the {I}sing model},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {172},
year = {2010},
number = {2},
pages = {1435--1467},
issn = {0003-486X,1939-8980},
mrclass = {60K35 (30G25 60J67 81T40 82B20)},
mrnumber = {2680496},
mrreviewer = {Roland\ M.\ Friedrich},
doi = {10.4007/annals.2010.172.1441},
url = {https://doi.org/10.4007/annals.2010.172.1441}
}
@Article{ smirnov:10:dimension,
author = {Smirnov, Stanislav},
title = {Dimension of quasicircles},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {205},
year = {2010},
number = {1},
pages = {189--197},
issn = {0001-5962,1871-2509},
mrclass = {30C62},
mrnumber = {2736155},
mrreviewer = {Christopher\ Bishop},
doi = {10.1007/s11511-010-0053-8},
url = {https://doi.org/10.1007/s11511-010-0053-8}
}
@InProceedings{ smirnov:10:discrete,
author = {Smirnov, Stanislav},
title = {Discrete complex analysis and probability},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians. {V}olume {I}},
pages = {595--621},
publisher = {Hindustan Book Agency, New Delhi},
year = {2010},
isbn = {978-81-85931-08-3; 978-981-4324-31-1; 981-4324-31-0},
mrclass = {60J67 (30G25 60K35)},
mrnumber = {2827906},
mrreviewer = {Dmitry\ Beliaev}
}
@Article{ smirnov:93:decomposition,
author = {Smirnov, S. K.},
title = {Decomposition of solenoidal vector charges into elementary
solenoids, and the structure of normal one-dimensional
flows},
journal = {Algebra i Analiz},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Algebra i Analiz},
volume = {5},
year = {1993},
number = {4},
pages = {206--238},
issn = {0234-0852},
mrclass = {49Q15 (49Q20 58A25 58C35)},
mrnumber = {1246427},
mrreviewer = {Andrew\ Bucki}
}
@Book{ smirnov:96:spectral,
author = {Smirnov, Stanislav K.},
title = {Spectral analysis of {J}ulia sets},
note = {Thesis (Ph.D.)--California Institute of Technology},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1996},
pages = {137},
mrclass = {99-05},
mrnumber = {2694232},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9629194}
}
@Book{ smoller:83:shock,
author = {Smoller, Joel},
title = {Shock waves and reaction-diffusion equations},
series = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {258},
publisher = {Springer-Verlag, New York-Berlin},
year = {1983},
pages = {xxi+581},
isbn = {0-387-90752-1},
mrclass = {35-02 (58E07 58G10 92A15)},
mrnumber = {688146},
mrreviewer = {Ronald DiPerna}
}
@Book{ smoller:94:shock,
author = {Smoller, Joel},
title = {Shock waves and reaction-diffusion equations},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {258},
edition = {Second},
publisher = {Springer-Verlag, New York},
year = {1994},
pages = {xxiv+632},
isbn = {0-387-94259-9},
mrclass = {35-02 (35K57 35L67 58E07)},
mrnumber = {1301779},
doi = {10.1007/978-1-4612-0873-0},
url = {https://doi.org/10.1007/978-1-4612-0873-0}
}
@Article{ smoluchowski:06:zur,
author = {von Smoluchowski, M.},
title = {Zur kinetischen Theorie der Brownschen Molekularbewegung
und der Suspensionen},
journal = {Annalen der Physik},
volume = {326},
number = {14},
pages = {756--780},
doi = {https://doi.org/10.1002/andp.19063261405},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.19063261405},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/andp.19063261405},
year = {1906}
}
@PhDThesis{ smula:15:information,
author = {Jasmin Smula},
title = {Information content of online problems: advice versus
determinism and randomization},
year = {2015},
school = {{ETH} Zurich, Switzerland}
}
@Book{ smythe.wierman:78:first-passage,
author = {Smythe, R. T. and Wierman, John C.},
title = {First-passage percolation on the square lattice},
series = {Lecture Notes in Mathematics},
volume = {671},
publisher = {Springer, Berlin},
year = {1978},
pages = {viii+196},
isbn = {3-540-08928-4},
mrclass = {60K99},
mrnumber = {513421},
mrreviewer = {G. R. Grimmett}
}
@Article{ soboleff:45:sur,
author = {Soboleff, S. L.},
title = {Sur la presque p\'{e}riodicit\'{e} des solutions de
l'\'{e}quation des ondes. {II}},
journal = {C. R. (Doklady) Acad. Sci. URSS (N. S.)},
volume = {48},
year = {1945},
pages = {618--620},
mrclass = {36.0X},
mrnumber = {0016859},
mrreviewer = {S. Bochner}
}
@Book{ sobolev.dawson:64:partial,
author = {Sobolev, S. L. and Dawson, E. R.},
title = {Partial differential equations of mathematical physics},
note = {Translated from the third Russian edition by E. R. Dawson;
English translation edited by T. A. A. Broadbent},
publisher = {Pergamon Press, Oxford-Edinburgh-New York-Paris-Frankfurt;
Addison-Wesley Publishing Co., Inc., Reading,
Mass.-London},
year = {1964},
pages = {x+427},
mrclass = {35.00},
mrnumber = {178220},
mrreviewer = {R. P. Gilbert}
}
@Article{ sobolevskiui:61:equations,
author = {Sobolevskiu{i}, P. E.},
title = {Equations of parabolic type in a {B}anach space},
journal = {Trudy Moskov. Mat. Ob\v{s}\v{c}.},
fjournal = {Trudy Moskovskogo Matemati\v{c}eskogo Ob\v{s}\v{c}estva},
volume = {10},
year = {1961},
pages = {297--350},
issn = {0134-8663},
mrclass = {34.99 (47.50)},
mrnumber = {0141900},
mrreviewer = {K. Rektorys}
}
@Article{ sodin.tsirelson:04:random,
author = {Sodin, Mikhail and Tsirelson, Boris},
title = {Random complex zeroes. {I}. {A}symptotic normality},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {144},
year = {2004},
pages = {125--149},
issn = {0021-2172},
mrclass = {60F05 (60D05 60G15)},
mrnumber = {2121537},
mrreviewer = {M. Iosifescu},
doi = {10.1007/BF02984409},
url = {https://doi.org/10.1007/BF02984409}
}
@Article{ sodin.tsirelson:05:random,
author = {Sodin, Mikhail and Tsirelson, Boris},
title = {Random complex zeroes. {III}. {D}ecay of the hole
probability},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {147},
year = {2005},
pages = {371--379},
issn = {0021-2172},
mrclass = {60G15 (30D20 60D05)},
mrnumber = {2166369},
mrreviewer = {M. Iosifescu},
doi = {10.1007/BF02785373},
url = {https://doi.org/10.1007/BF02785373}
}
@Article{ sodin.tsirelson:06:random,
author = {Sodin, Mikhail and Tsirelson, Boris},
title = {Random complex zeroes. {II}. {P}erturbed lattice},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {152},
year = {2006},
pages = {105--124},
issn = {0021-2172},
mrclass = {60G15 (30D20 60D05)},
mrnumber = {2214455},
mrreviewer = {M. Iosifescu},
doi = {10.1007/BF02771978},
url = {https://doi.org/10.1007/BF02771978}
}
@Article{ sodin:00:zeros,
author = {Sodin, M.},
title = {Zeros of {G}aussian analytic functions},
journal = {Math. Res. Lett.},
fjournal = {Mathematical Research Letters},
volume = {7},
year = {2000},
number = {4},
pages = {371--381},
issn = {1073-2780},
mrclass = {32H99 (30C15 60G99)},
mrnumber = {1783614},
mrreviewer = {Lev Sergeevich Maergoiz},
doi = {10.4310/MRL.2000.v7.n4.a2},
url = {https://doi.org/10.4310/MRL.2000.v7.n4.a2}
}
@Article{ sohinger:22:microscopic,
author = {Sohinger, Vedran},
title = {A microscopic derivation of {G}ibbs measures for nonlinear
{S}chr\"{o}dinger equations with unbounded interaction
potentials},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2022},
number = {19},
pages = {14964--15063},
issn = {1073-7928},
mrclass = {35Q55 (81V70 82B10)},
mrnumber = {4490946},
doi = {10.1093/imrn/rnab132},
url = {https://doi.org/10.1093/imrn/rnab132}
}
@Article{ sokolov.klafter:05:from,
author = {Sokolov, I. M. and Klafter, J.},
title = {From diffusion to anomalous diffusion: a century after
{E}instein's {B}rownian motion},
journal = {Chaos},
fjournal = {Chaos. An Interdisciplinary Journal of Nonlinear Science},
volume = {15},
year = {2005},
number = {2},
pages = {026103, 7},
issn = {1054-1500},
mrclass = {82C31 (82C70)},
mrnumber = {2150232},
doi = {10.1063/1.1860472},
url = {https://doi.org/10.1063/1.1860472}
}
@Article{ soner.souganidis:93:singularities,
author = {Soner, H. M. and Souganidis, P. E.},
title = {Singularities and uniqueness of cylindrically symmetric
surfaces moving by mean curvature},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {18},
year = {1993},
number = {5-6},
pages = {859--894},
issn = {0360-5302},
mrclass = {53A10 (35K15)},
mrnumber = {1218522},
mrreviewer = {Li Ma},
doi = {10.1080/03605309308820954},
url = {https://doi.org/10.1080/03605309308820954}
}
@Article{ song.song.ea:20:fractional,
author = {Song, Jian and Song, Xiaoming and Xu, Fangjun},
title = {Fractional stochastic wave equation driven by a {G}aussian
noise rough in space},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {26},
year = {2020},
number = {4},
pages = {2699--2726},
issn = {1350-7265},
mrclass = {60H15 (60G22 60H07)},
mrnumber = {4140526},
doi = {10.3150/20-BEJ1204},
url = {https://doi.org/10.3150/20-BEJ1204}
}
@Article{ song.tindel:22:skorohod,
author = {Song, Jian and Tindel, Samy},
title = {Skorohod and {S}tratonovich integrals for controlled
processes},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {150},
year = {2022},
pages = {569--595},
issn = {0304-4149,1879-209X},
mrclass = {60H05 (60H07 60L20)},
mrnumber = {4426165},
mrreviewer = {Maria\ Jolis},
doi = {10.1016/j.spa.2022.05.002},
url = {https://doi.org/10.1016/j.spa.2022.05.002}
}
@Article{ song.vondracek:03:potential,
author = {Song, Renming and Vondra\v{c}ek, Zoran},
title = {Potential theory of subordinate killed {B}rownian motion
in a domain},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {125},
year = {2003},
number = {4},
pages = {578--592},
issn = {0178-8051},
mrclass = {60J45 (31C25 60J75)},
mrnumber = {1974415},
mrreviewer = {Zhen-Qing Chen},
doi = {10.1007/s00440-002-0251-1},
url = {https://doi.org/10.1007/s00440-002-0251-1}
}
@Article{ song.xiao.ea:18:uniform,
author = {Song, Renming and Xiao, Yimin and Yang, Xiaochuan},
title = {Uniform {H}ausdorff dimension result for the inverse
images of stable {L}\'{e}vy processes},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {23},
year = {2018},
pages = {Paper No. 75, 10},
issn = {1083-589X},
mrclass = {60J75 (28A80 60G17 60G52)},
mrnumber = {3873782},
mrreviewer = {Benjamin\ Arras},
doi = {10.1214/18-ECP180},
url = {https://doi.org/10.1214/18-ECP180}
}
@Article{ song.xiao.ea:21:on,
author = {Song, Jian and Xiao, Yimin and Yuan, Wangjun},
title = {On collision of multiple eigenvalues for matrix-valued
{G}aussian processes},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {502},
year = {2021},
number = {2},
pages = {Paper No. 125261, 22},
issn = {0022-247X,1096-0813},
mrclass = {60G15 (60B20 60G17 60G60)},
mrnumber = {4252156},
mrreviewer = {David\ Nualart},
doi = {10.1016/j.jmaa.2021.125261},
url = {https://doi.org/10.1016/j.jmaa.2021.125261}
}
@Article{ song.xiao.ea:23:on,
author = {Song, Jian and Xiao, Yimin and Yuan, Wangjun},
title = {On eigenvalues of the {B}rownian sheet matrix},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {166},
year = {2023},
pages = {Paper No. 104231, 38},
issn = {0304-4149,1879-209X},
mrclass = {60B20 (60B10 60G15 60G60 60H15)},
mrnumber = {4654811},
doi = {10.1016/j.spa.2023.104231},
url = {https://doi.org/10.1016/j.spa.2023.104231}
}
@Article{ song.zhou:96:remark,
author = {Song, Renming and Zhou, Xian Yin},
title = {A remark on diffusion of directed polymers in random
environments},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {85},
year = {1996},
number = {1-2},
pages = {277--289},
issn = {0022-4715},
mrclass = {82C41},
mrnumber = {1413246},
mrreviewer = {Wei-Shih Yang},
doi = {10.1007/BF02175566},
url = {https://doi.org/10.1007/BF02175566}
}
@Article{ song:12:asymptotic,
author = {Song, Jian},
title = {Asymptotic behavior of the solution of heat equation
driven by fractional white noise},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {82},
year = {2012},
number = {3},
pages = {614--620},
issn = {0167-7152},
mrclass = {60H15 (60G22)},
mrnumber = {2887479},
doi = {10.1016/j.spl.2011.11.017},
url = {https://doi.org/10.1016/j.spl.2011.11.017}
}
@Article{ song:17:on,
author = {Song, Jian},
title = {On a class of stochastic partial differential equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {127},
year = {2017},
number = {1},
pages = {37--79},
issn = {0304-4149},
mrclass = {60H15 (60H07)},
mrnumber = {3575535},
mrreviewer = {Jingyu Huang},
doi = {10.1016/j.spa.2016.05.008},
url = {https://doi.org/10.1016/j.spa.2016.05.008}
}
@Article{ sonoda:87:functional,
author = {Sonoda, Hidenori},
title = {Functional determinants on punctured {R}iemann surfaces
and their application to string theory},
journal = {Nuclear Phys. B},
fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and
Experimental High Energy Physics. Quantum Field Theory and
Statistical Systems},
volume = {294},
year = {1987},
number = {1},
pages = {157--192},
issn = {0550-3213},
mrclass = {81E99 (14H15 32G15 58G25 81E30)},
mrnumber = {909430},
mrreviewer = {Akira Asada},
doi = {10.1016/0550-3213(87)90578-5},
url = {https://doi.org/10.1016/0550-3213(87)90578-5}
}
@Article{ soshnikov:00:determinantal,
author = {Soshnikov, A.},
title = {Determinantal random point fields},
journal = {Uspekhi Mat. Nauk},
fjournal = {Uspekhi Matematicheskikh Nauk},
volume = {55},
year = {2000},
number = {5(335)},
pages = {107--160},
issn = {0042-1316},
mrclass = {60G55 (60F05 60K05)},
mrnumber = {1799012},
mrreviewer = {Boris A. Khoruzhenko},
doi = {10.1070/rm2000v055n05ABEH000321},
url = {https://doi.org/10.1070/rm2000v055n05ABEH000321}
}
@InCollection{ soshnikov:02:note,
author = {Soshnikov, Alexander},
title = {A note on universality of the distribution of the largest
eigenvalues in certain sample covariance matrices},
note = {Dedicated to David Ruelle and Yasha Sinai on the occasion
of their 65th birthdays},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {108},
year = {2002},
number = {5-6},
pages = {1033--1056},
issn = {0022-4715},
mrclass = {62J10},
mrnumber = {1933444},
mrreviewer = {D. V. Chopra},
doi = {10.1023/A:1019739414239},
url = {https://doi.org/10.1023/A:1019739414239}
}
@Article{ soshnikov:98:level,
author = {Soshnikov, Alexander},
title = {Level spacings distribution for large random matrices:
{G}aussian fluctuations},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {148},
year = {1998},
number = {2},
pages = {573--617},
issn = {0003-486X},
mrclass = {15A52 (60F99)},
mrnumber = {1668559},
mrreviewer = {Oleksiy Khorunzhiy},
doi = {10.2307/121004},
url = {https://doi.org/10.2307/121004}
}
@Article{ soshnikov:99:universality,
author = {Soshnikov, Alexander},
title = {Universality at the edge of the spectrum in {W}igner
random matrices},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {207},
year = {1999},
number = {3},
pages = {697--733},
issn = {0010-3616},
mrclass = {82B41 (15A52 60F99 82B44)},
mrnumber = {1727234},
mrreviewer = {Boris A. Khoruzhenko},
doi = {10.1007/s002200050743},
url = {https://doi.org/10.1007/s002200050743}
}
@Article{ souplet.winkler:19:blow-up,
author = {Souplet, Philippe and Winkler, Michael},
title = {Blow-up profiles for the parabolic-elliptic
{K}eller-{S}egel system in dimensions {$n\geq 3$}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {367},
year = {2019},
number = {2},
pages = {665--681},
issn = {0010-3616},
mrclass = {35M33 (35A01 35B07 35B40 35B44)},
mrnumber = {3936129},
mrreviewer = {Philippe Lauren\c{c}ot},
doi = {10.1007/s00220-018-3238-1},
url = {https://doi.org/10.1007/s00220-018-3238-1}
}
@Article{ souplet:99:uniform,
author = {Souplet, Philippe},
title = {Uniform blow-up profiles and boundary behavior for
diffusion equations with nonlocal nonlinear source},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {153},
year = {1999},
number = {2},
pages = {374--406},
issn = {0022-0396},
mrclass = {35K57 (35B40)},
mrnumber = {1683627},
mrreviewer = {Thomas Wanner},
doi = {10.1006/jdeq.1998.3535},
url = {https://doi.org/10.1006/jdeq.1998.3535}
}
@Article{ sowers:92:large,
author = {Sowers, Richard},
title = {Large deviations for the invariant measure of a
reaction-diffusion equation with non-{G}aussian
perturbations},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {92},
year = {1992},
number = {3},
pages = {393--421},
issn = {0178-8051,1432-2064},
mrclass = {60F10},
mrnumber = {1165518},
mrreviewer = {Jerzy\ Zabczyk},
doi = {10.1007/BF01300562},
url = {https://doi.org/10.1007/BF01300562}
}
@Article{ sowers:92:large*1,
author = {Sowers, Richard B.},
title = {Large deviations for a reaction-diffusion equation with
non-{G}aussian perturbations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {20},
year = {1992},
number = {1},
pages = {504--537},
issn = {0091-1798},
mrclass = {60H15 (35K55 60G60)},
mrnumber = {1143433},
mrreviewer = {Ralf Manthey},
url = {http://links.jstor.org/sici?sici=0091-1798(199201)20:1<504:LDFARE>2.0.CO;2-W&origin=MSN}
}
@InCollection{ spaan:12:partially,
title = {Partially observable {Markov} decision processes},
author = {Spaan, Matthijs TJ},
booktitle = {Reinforcement Learning},
pages = {387--414},
year = {2012},
publisher = {Springer}
}
@Book{ spielman:12:spectral,
title = {Spectral graph theory},
author = {Spielman, Daniel A},
year = {2012},
publisher = {American Mathematical Soc.}
}
@Article{ spitzer.stone:60:class,
author = {Spitzer, F. L. and Stone, C. J.},
title = {A class of {T}oeplitz forms and their application to
probability theory},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {4},
year = {1960},
pages = {253--277},
issn = {0019-2082},
mrclass = {60.00},
mrnumber = {117773},
mrreviewer = {U.\ Grenander},
url = {http://projecteuclid.org/euclid.ijm/1255455868}
}
@Article{ spitzer.wan:76:characterization,
author = {Spitzer, Frank and Wan, Jr., Henry},
title = {The characterization of optimal saving programs in a
quadratic model},
journal = {J. Math. Econom.},
fjournal = {Journal of Mathematical Economics},
volume = {3},
year = {1976},
number = {1},
pages = {43--79},
issn = {0304-4068,1873-1538},
mrclass = {90A15},
mrnumber = {401103},
mrreviewer = {Mukul\ Majumdar},
doi = {10.1016/0304-4068(76)90006-9},
url = {https://doi.org/10.1016/0304-4068(76)90006-9}
}
@Article{ spitzer.widom:61:circumference,
author = {Spitzer, F. and Widom, H.},
title = {The circumference of a convex polygon},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {12},
year = {1961},
pages = {506--509},
issn = {0002-9939,1088-6826},
mrclass = {52.10},
mrnumber = {130616},
mrreviewer = {A.\ Dvoretzky},
doi = {10.2307/2034228},
url = {https://doi.org/10.2307/2034228}
}
@Book{ spitzer:53:on,
author = {Spitzer, Frank Ludvig},
title = {O{N} {THE} {THEORY} {OF} {THE} {STOCHASTIC} {PROCESSES}
{WHICH} {APPEAR} {IN} {THE} {DESCRIPTIONOF} {TWO}
{DIMENSIONAL} {BROWNIAN} {MOTION} {BY} {POLAR}
{COORDINATES}},
note = {Thesis (Ph.D.)--University of Michigan},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1953},
pages = {41},
mrclass = {99-05},
mrnumber = {2612045},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0005099}
}
@Article{ spitzer:55:on,
author = {Spitzer, Frank},
title = {On a class of random variables},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {6},
year = {1955},
pages = {494--505},
issn = {0002-9939,1088-6826},
mrclass = {60.0X},
mrnumber = {68768},
mrreviewer = {H.\ P.\ McKean, Jr.},
doi = {10.2307/2032795},
url = {https://doi.org/10.2307/2032795}
}
@Article{ spitzer:56:combinatorial,
author = {Spitzer, Frank},
title = {A combinatorial lemma and its application to probability
theory},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {82},
year = {1956},
pages = {323--339},
issn = {0002-9947,1088-6850},
mrclass = {60.0X},
mrnumber = {79851},
mrreviewer = {J.\ L.\ Snell},
doi = {10.2307/1993051},
url = {https://doi.org/10.2307/1993051}
}
@Article{ spitzer:56:on,
author = {Spitzer, Frank},
title = {On interval recurrent sums of independent random
variables},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {7},
year = {1956},
pages = {164--171},
issn = {0002-9939,1088-6826},
mrclass = {60.0X},
mrnumber = {90915},
mrreviewer = {G.\ Kallianpur},
doi = {10.2307/2033263},
url = {https://doi.org/10.2307/2033263}
}
@Article{ spitzer:57:wiener-hopf,
author = {Spitzer, Frank},
title = {The {W}iener-{H}opf equation whose kernel is a probability
density},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {24},
year = {1957},
pages = {327--343},
issn = {0012-7094,1547-7398},
mrclass = {60.0X},
mrnumber = {90917},
mrreviewer = {J.\ Kiefer},
url = {http://projecteuclid.org/euclid.dmj/1077467479}
}
@Article{ spitzer:58:some,
author = {Spitzer, Frank},
title = {Some theorems concerning {$2$}-dimensional {B}rownian
motion},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {87},
year = {1958},
pages = {187--197},
issn = {0002-9947,1088-6850},
mrclass = {60.00},
mrnumber = {104296},
mrreviewer = {S.\ K.\ Zaremba},
doi = {10.2307/1993096},
url = {https://doi.org/10.2307/1993096}
}
@Article{ spitzer:59:some,
author = {Spitzer, Frank},
title = {Some probability limit theorems},
journal = {Bull. Amer. Math. Soc.},
fjournal = {Bulletin of the American Mathematical Society},
volume = {65},
year = {1959},
pages = {117--119},
issn = {0002-9904},
mrclass = {60.00},
mrnumber = {105739},
mrreviewer = {J.\ Kiefer},
doi = {10.1090/S0002-9904-1959-10284-6},
url = {https://doi.org/10.1090/S0002-9904-1959-10284-6}
}
@InCollection{ spitzer:60:recurrent,
author = {Spitzer, Frank},
title = {Recurrent random walk and logarithmic potential},
booktitle = {Proc. 4th {B}erkeley {S}ympos. {M}ath. {S}tatist. and
{P}rob., {V}ol. {II}},
pages = {515--534},
publisher = {Univ. California Press, Berkeley-Los Angeles, Calif.},
year = {1960},
mrclass = {60.66},
mrnumber = {142159},
mrreviewer = {W.\ Wasow}
}
@Article{ spitzer:60:tauberian,
author = {Spitzer, Frank},
title = {A {T}auberian theorem and its probability interpretation},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {94},
year = {1960},
pages = {150--169},
issn = {0002-9947,1088-6850},
mrclass = {60.00},
mrnumber = {111066},
mrreviewer = {J.\ L.\ Snell},
doi = {10.2307/1993283},
url = {https://doi.org/10.2307/1993283}
}
@Article{ spitzer:60:wiener-hopf,
author = {Spitzer, Frank},
title = {The {W}iener-{H}opf equation whose kernel is a probability
density. {II}},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {27},
year = {1960},
pages = {363--372},
issn = {0012-7094,1547-7398},
mrclass = {60.00},
mrnumber = {121829},
mrreviewer = {J.\ Kiefer},
url = {http://projecteuclid.org/euclid.dmj/1077469167}
}
@Article{ spitzer:61:some,
author = {Spitzer, Frank},
title = {Some properties of recurrent random walk},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {5},
year = {1961},
pages = {234--245},
issn = {0019-2082},
mrclass = {60.66},
mrnumber = {123369},
mrreviewer = {J.\ L.\ Snell},
url = {http://projecteuclid.org/euclid.ijm/1255629823}
}
@Article{ spitzer:62:hitting,
author = {Spitzer, Frank},
title = {Hitting probabilities},
journal = {J. Math. Mech.},
fjournal = {J. Math. Mech.},
volume = {11},
year = {1962},
pages = {593--614},
mrclass = {60.66},
mrnumber = {139219},
mrreviewer = {J.\ Gillis}
}
@Article{ spitzer:64:electrostatic,
author = {Spitzer, Frank},
title = {Electrostatic capacity, heat flow, and {B}rownian motion},
journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {3},
year = {1964},
pages = {110--121},
mrclass = {60.62},
mrnumber = {172343},
mrreviewer = {H.\ P.\ McKean, Jr.},
doi = {10.1007/BF00535970},
url = {https://doi.org/10.1007/BF00535970}
}
@Book{ spitzer:64:principles,
author = {Spitzer, Frank},
title = {Principles of random walk},
series = {The University Series in Higher Mathematics},
publisher = {D. Van Nostrand Co., Inc., Princeton,
N.J.-Toronto-London},
year = {1964},
pages = {xi+406},
mrclass = {60.66},
mrnumber = {171290},
mrreviewer = {T.\ Watanabe}
}
@InCollection{ spitzer:67:renewal,
author = {Spitzer, F.},
title = {Renewal theorems for {M}arkov chains},
booktitle = {Proc. {F}ifth {B}erkeley {S}ympos. {M}ath. {S}tatist. and
{P}robability ({B}erkeley, {C}alif., 1965/66), {V}ol. {II}:
{C}ontributions to {P}robability {T}heory, {P}art 2},
pages = {311--320},
publisher = {Univ. California Press, Berkeley, CA},
year = {1967},
mrclass = {60.65 (60.70)},
mrnumber = {214144},
mrreviewer = {J.\ Wolfowitz}
}
@InCollection{ spitzer:67:two,
author = {Spitzer, F.},
title = {Two explicit {M}artin boundary constructions},
booktitle = {Symposium on {P}robability {M}ethods in {A}nalysis
({L}outraki, 1966)},
series = {Lecture Notes in Math.},
volume = {No. 31},
pages = {296--298},
publisher = {Springer, Berlin-New York},
year = {1967},
mrclass = {60.65},
mrnumber = {224165},
mrreviewer = {J.\ L.\ Snell}
}
@Article{ spitzer:68:uniform,
author = {Spitzer, Frank},
title = {Uniform motion with elastic collision of an infinite
particle system},
journal = {J. Math. Mech.},
fjournal = {J. Math. Mech.},
volume = {18},
year = {1968/69},
pages = {973--989},
mrclass = {60.90 (82.00)},
mrnumber = {243646},
mrreviewer = {H.\ P.\ McKean, Jr.}
}
@InCollection{ spitzer:69:random,
author = {Spitzer, Frank},
title = {Random processes defined through the interaction of an
infinite particle system},
booktitle = {Probability and {I}nformation {T}heory ({P}roc.
{I}nternat. {S}ympos., {M}c{M}aster {U}niv., {H}amilton,
{O}nt., 1968)},
series = {Lecture Notes in Math.},
volume = {Vol. 89},
pages = {201--223},
publisher = {Springer, Berlin-New York},
year = {1969},
mrclass = {60.62},
mrnumber = {268964},
mrreviewer = {D.\ W.\ Stroock}
}
@Article{ spitzer:70:interaction,
author = {Spitzer, Frank},
title = {Interaction of {M}arkov processes},
journal = {Advances in Math.},
fjournal = {Advances in Mathematics},
volume = {5},
year = {1970},
pages = {246--290 (1970)},
issn = {0001-8708},
mrclass = {60.60},
mrnumber = {268959},
mrreviewer = {B. Weiss},
doi = {10.1016/0001-8708(70)90034-4},
url = {https://doi.org/10.1016/0001-8708(70)90034-4}
}
@Book{ spitzer:70:principes,
author = {Spitzer, F.},
title = {Principes des cheminements al\'{e}atoires},
series = {Centre Interarm\'{e}s de Recherche Op\'{e}rationnelle},
volume = {2},
note = {Traduit de l'anglais par E. Baverez et J.-L. Guignard},
publisher = {Dunod, Paris},
year = {1970},
pages = {xi+411},
mrclass = {60.66},
mrnumber = {260039}
}
@Article{ spitzer:71:markov,
author = {Spitzer, Frank},
title = {Markov random fields and {G}ibbs ensembles},
journal = {Amer. Math. Monthly},
fjournal = {American Mathematical Monthly},
volume = {78},
year = {1971},
pages = {142--154},
issn = {0002-9890,1930-0972},
mrclass = {60.60 (82.00)},
mrnumber = {277036},
mrreviewer = {S.\ J.\ Taylor},
doi = {10.2307/2317621},
url = {https://doi.org/10.2307/2317621}
}
@Book{ spitzer:71:random,
author = {Spitzer, F.},
title = {Random fields and interacting particle systems},
note = {Notes on lectures given at the 1971 MAA Summer Seminar,
Williams College, Williamstown, Mass},
publisher = {Mathematical Association of America, Washington, DC},
year = {1971},
pages = {i+126 pp. (not consecutively paged)},
mrclass = {60K35},
mrnumber = {381041},
mrreviewer = {Donald\ A.\ Dawson}
}
@Article{ spitzer:72:variational,
author = {Spitzer, Frank},
title = {A variational characterization of finite {M}arkov chains},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {43},
year = {1972},
pages = {303--307},
issn = {0003-4851},
mrclass = {60J10},
mrnumber = {300346},
mrreviewer = {B.\ Kronfeld},
doi = {10.1214/aoms/1177692723},
url = {https://doi.org/10.1214/aoms/1177692723}
}
@InCollection{ spitzer:74:introduction,
author = {Spitzer, Frank L.},
title = {Introduction aux processus de {M}arkov \`a parametre dans
{$Z\sb{\nu }$}},
booktitle = {\'{E}cole d'\'{E}t\'{e} de {P}robabilit\'{e}s de
{S}aint-{F}lour, {III}--1973},
series = {Lecture Notes in Math.},
volume = {Vol. 390},
pages = {114--189},
publisher = {Springer, Berlin-New York},
year = {1974},
mrclass = {60K35},
mrnumber = {436388},
mrreviewer = {Hans-Otto\ Georgii}
}
@Article{ spitzer:74:recurrent,
author = {Spitzer, Frank},
title = {Recurrent random walk of an infinite particle system},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {198},
year = {1974},
pages = {191--199},
issn = {0002-9947,1088-6850},
mrclass = {60K35},
mrnumber = {375533},
mrreviewer = {T.\ M.\ Liggett},
doi = {10.2307/1996754},
url = {https://doi.org/10.2307/1996754}
}
@Article{ spitzer:75:markov,
author = {Spitzer, Frank},
title = {Markov random fields on an infinite tree},
journal = {Ann. Probability},
fjournal = {The Annals of Probability},
volume = {3},
year = {1975},
number = {3},
pages = {387--398},
issn = {0091-1798},
mrclass = {60K35},
mrnumber = {378152},
mrreviewer = {T.\ M.\ Liggett},
doi = {10.1214/aop/1176996347},
url = {https://doi.org/10.1214/aop/1176996347}
}
@Article{ spitzer:75:phase,
author = {Spitzer, Frank},
title = {Phase transition in one-dimensional nearest-neighbor
systems},
journal = {J. Functional Analysis},
fjournal = {Journal of Functional Analysis},
volume = {20},
year = {1975},
number = {3},
pages = {240--255},
issn = {0022-1236},
mrclass = {60K35},
mrnumber = {388583},
mrreviewer = {Richard\ Holley},
doi = {10.1016/0022-1236(75)90043-9},
url = {https://doi.org/10.1016/0022-1236(75)90043-9}
}
@InProceedings{ spitzer:75:random,
author = {Spitzer, Frank},
title = {Random time evolution of infinite particle systems},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians ({V}ancouver, {B}.{C}., 1974), {V}ol. 2},
pages = {169--171},
publisher = {Canad. Math. Congr., Montreal, QC},
year = {1975},
mrclass = {60K35},
mrnumber = {415810}
}
@Article{ spitzer:75:random*1,
author = {Spitzer, Frank},
title = {Random time evolution of infinite particle systems},
journal = {Advances in Math.},
fjournal = {Advances in Mathematics},
volume = {16},
year = {1975},
pages = {139--143},
issn = {0001-8708},
mrclass = {60K35},
mrnumber = {365776},
mrreviewer = {T.\ M.\ Liggett},
doi = {10.1016/0001-8708(75)90146-2},
url = {https://doi.org/10.1016/0001-8708(75)90146-2}
}
@Book{ spitzer:76:principles,
author = {Spitzer, Frank},
title = {Principles of random walk},
series = {Graduate Texts in Mathematics},
volume = {Vol. 34},
edition = {Second},
publisher = {Springer-Verlag, New York-Heidelberg},
year = {1976},
pages = {xiii+408},
mrclass = {60J15},
mrnumber = {388547}
}
@InCollection{ spitzer:76:random,
author = {Spitzer, Frank},
title = {Random time evolution of infinite particle systems},
booktitle = {Surveys in applied mathematics ({P}roc. {F}irst {L}os
{A}lamos {S}ympos. {M}ath. in {N}atural {S}ci., {L}os
{A}lamos, {N}.{M}., 1974)},
pages = {123--127},
publisher = {Academic Press, New York-London},
year = {1976},
mrclass = {60K35},
mrnumber = {652304}
}
@Article{ spitzer:77:stochastic,
author = {Spitzer, Frank},
title = {Stochastic time evolution of one dimensional infinite
particle systems},
journal = {Bull. Amer. Math. Soc.},
fjournal = {Bulletin of the American Mathematical Society},
volume = {83},
year = {1977},
number = {5},
pages = {880--890},
issn = {0002-9904},
mrclass = {60K35 (60J25)},
mrnumber = {448632},
mrreviewer = {T.\ M.\ Liggett},
doi = {10.1090/S0002-9904-1977-14322-X},
url = {https://doi.org/10.1090/S0002-9904-1977-14322-X}
}
@Article{ spitzer:81:infinite,
author = {Spitzer, Frank},
title = {Infinite systems with locally interacting components},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {9},
year = {1981},
number = {3},
pages = {349--364},
issn = {0091-1798},
mrclass = {60K35 (82A05)},
mrnumber = {614623},
mrreviewer = {M. Roussignol},
url = {http://links.jstor.org/sici?sici=0091-1798(198106)9:3<349:ISWLIC>2.0.CO;2-P&origin=MSN}
}
@InCollection{ spitzer:86:multidimensional,
author = {Spitzer, Frank},
title = {A multidimensional renewal theorem},
booktitle = {Probability, statistical mechanics, and number theory},
series = {Adv. Math. Suppl. Stud.},
volume = {9},
pages = {147--155},
publisher = {Academic Press, Orlando, FL},
year = {1986},
isbn = {0-12-598543-6},
mrclass = {60K15},
mrnumber = {875451},
mrreviewer = {T.\ M.\ Liggett}
}
@Article{ spohn:06:exact,
author = {Spohn, Herbert},
title = {Exact solutions for {KPZ}-type growth processes, random
matrices, and equilibrium shapes of crystals},
journal = {Phys. A},
fjournal = {Physica A. Statistical Mechanics and its Applications},
volume = {369},
year = {2006},
number = {1},
pages = {71--99},
issn = {0378-4371},
mrclass = {82C31 (82-02 82B31 82D25)},
mrnumber = {2246567},
mrreviewer = {Rapha\"{e}l Cerf},
doi = {10.1016/j.physa.2006.04.006},
url = {https://doi.org/10.1016/j.physa.2006.04.006}
}
@Book{ spohn:12:large,
title = {Large scale dynamics of interacting particles},
author = {Spohn, H.},
isbn = {9783642843716},
series = {Theoretical and Mathematical Physics},
year = {2012},
publisher = {Springer Berlin Heidelberg}
}
@Article{ sritharan.sundar:06:large,
author = {Sritharan, S. S. and Sundar, P.},
title = {Large deviations for the two-dimensional {N}avier-{S}tokes
equations with multiplicative noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {116},
year = {2006},
number = {11},
pages = {1636--1659},
issn = {0304-4149},
mrclass = {60H15 (35Q30 37L55 60F10 76D06 76M35 93E15)},
mrnumber = {2269220},
mrreviewer = {Marek Capi\'{n}ski},
doi = {10.1016/j.spa.2006.04.001},
url = {https://doi.org/10.1016/j.spa.2006.04.001}
}
@Book{ srivastava.choi:01:series,
author = {Srivastava, H. M. and Choi, Junesang},
title = {Series associated with the zeta and related functions},
publisher = {Kluwer Academic Publishers, Dordrecht},
year = {2001},
pages = {x+388},
isbn = {0-7923-7054-6},
mrclass = {11Mxx (11Y60)},
mrnumber = {1849375},
mrreviewer = {Richard B. Paris},
doi = {10.1007/978-94-015-9672-5},
url = {https://doi.org/10.1007/978-94-015-9672-5}
}
@Article{ stahl-ii.wilson:94:experimental,
title = {Experimental evidence on players' models of other
players},
author = {Stahl II, Dale O and Wilson, Paul W},
journal = {Journal of Economic Behavior \& Organization},
volume = {25},
number = {3},
pages = {309--327},
year = {1994},
publisher = {Elsevier}
}
@Article{ stahl.wilson:95:on,
title = {On players' models of other players: Theory and
experimental evidence},
author = {Stahl, Dale O and Wilson, Paul W},
journal = {Games and Economic Behavior},
volume = {10},
number = {1},
pages = {218--254},
year = {1995},
publisher = {Elsevier}
}
@Article{ stanislavsky.weron.ea:08:diffusion,
author = {Stanislavsky, Aleksander and Weron, Karina and Weron,
Aleksander},
title = {Diffusion and relaxation controlled by tempered
{$\alpha$}-stable processes},
journal = {Phys. Rev. E (3)},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
volume = {78},
year = {2008},
number = {5},
pages = {051106, 6},
issn = {1539-3755},
mrclass = {82C31 (82C70)},
mrnumber = {2551366},
doi = {10.1103/PhysRevE.78.051106},
url = {https://doi.org/10.1103/PhysRevE.78.051106}
}
@Article{ stankovic:70:on,
author = {Stankovi\'{c}, B.},
title = {On the function of {E}. {M}. {W}right},
journal = {Publ. Inst. Math. (Beograd) (N.S.)},
fjournal = {Institut Math\'{e}matique. Publications. Nouvelle
S\'{e}rie},
volume = {10(24)},
year = {1970},
pages = {113--124},
issn = {0350-1302},
mrclass = {33.45},
mrnumber = {280762},
mrreviewer = {Naresh C. Jain}
}
@Book{ stanley:12:enumerative,
author = {Stanley, Richard P.},
title = {Enumerative combinatorics. {V}olume 1},
series = {Cambridge Studies in Advanced Mathematics},
volume = {49},
edition = {Second},
publisher = {Cambridge University Press, Cambridge},
year = {2012},
pages = {xiv+626},
isbn = {978-1-107-60262-5},
mrclass = {05-02 (05A15 06-02)},
mrnumber = {2868112}
}
@Book{ stanley:97:enumerative,
author = {Stanley, Richard P.},
title = {Enumerative combinatorics. {V}ol. 1},
series = {Cambridge Studies in Advanced Mathematics},
volume = {49},
note = {With a foreword by Gian-Carlo Rota, Corrected reprint of
the 1986 original},
publisher = {Cambridge University Press, Cambridge},
year = {1997},
pages = {xii+325},
isbn = {0-521-55309-1; 0-521-66351-2},
mrclass = {05-02 (05A15 06-02 11-02)},
mrnumber = {1442260},
mrreviewer = {Wayne M. Dymacek},
doi = {10.1017/CBO9780511805967},
url = {https://doi.org/10.1017/CBO9780511805967}
}
@Article{ stannat:99:nonsymmetric,
author = {Stannat, Wilhelm},
title = {({N}onsymmetric) {D}irichlet operators on {$L^1$}:
existence, uniqueness and associated {M}arkov processes},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie IV},
volume = {28},
year = {1999},
number = {1},
pages = {99--140},
issn = {0391-173X},
mrclass = {31C25 (35K99 35R15 47B44 47D07 60J60)},
mrnumber = {1679079},
mrreviewer = {Zhi Ming Ma},
url = {http://www.numdam.org/item?id=ASNSP_1999_4_28_1_99_0}
}
@InCollection{ starke.reichert.ea:07:stochastic,
author = {Starke, J. and Reichert, C. and Eiswirth, M. and
Oelschl\"{a}ger, K.},
title = {Stochastic modeling and deterministic limit of catalytic
surface processes},
booktitle = {Reactive flows, diffusion and transport},
pages = {341--370},
publisher = {Springer, Berlin},
year = {2007},
isbn = {978-3-540-28379-9; 3-540-28379-X},
mrclass = {92E20 (37N20 60K35 60K40)},
mrnumber = {2275766},
doi = {10.1007/978-3-540-28396-6\_13},
url = {https://doi.org/10.1007/978-3-540-28396-6_13}
}
@Article{ stefanov.tindel:23:sampling,
author = {Stefanov, Plamen and Tindel, Samy},
title = {Sampling linear inverse problems with noise},
journal = {Asymptot. Anal.},
fjournal = {Asymptotic Analysis},
volume = {132},
year = {2023},
number = {3-4},
pages = {331--382},
issn = {0921-7134,1875-8576},
mrclass = {15A29 (15A06 94A20)},
mrnumber = {4569904}
}
@Book{ stein.shakarchi:03:complex,
author = {Stein, Elias M. and Shakarchi, Rami},
title = {Complex analysis},
series = {Princeton Lectures in Analysis},
volume = {2},
publisher = {Princeton University Press, Princeton, NJ},
year = {2003},
pages = {xviii+379},
isbn = {0-691-11385-8},
mrclass = {30-01},
mrnumber = {1976398},
mrreviewer = {Heinrich Begehr}
}
@Book{ stein.shakarchi:03:fourier,
author = {Stein, Elias M. and Shakarchi, Rami},
title = {Fourier analysis},
series = {Princeton Lectures in Analysis},
volume = {1},
note = {An introduction},
publisher = {Princeton University Press, Princeton, NJ},
year = {2003},
pages = {xvi+311},
isbn = {0-691-11384-X},
mrclass = {42-01},
mrnumber = {1970295},
mrreviewer = {Steven George Krantz}
}
@Book{ stein.weiss:71:introduction,
author = {Stein, Elias M. and Weiss, Guido},
title = {Introduction to {F}ourier analysis on {E}uclidean spaces},
series = {Princeton Mathematical Series, No. 32},
publisher = {Princeton University Press, Princeton, N.J.},
year = {1971},
pages = {x+297},
mrclass = {42A92 (31B99 32A99 46F99 47G05)},
mrnumber = {0304972},
mrreviewer = {Edwin Hewitt}
}
@Book{ stein:70:singular,
author = {Stein, Elias M.},
title = {Singular integrals and differentiability properties of
functions},
series = {Princeton Mathematical Series, No. 30},
publisher = {Princeton University Press, Princeton, N.J.},
year = {1970},
pages = {xiv+290},
mrclass = {46.38 (26.00)},
mrnumber = {0290095},
mrreviewer = {R. E. Edwards}
}
@InProceedings{ stein:72:bound,
author = {Stein, Charles},
title = {A bound for the error in the normal approximation to the
distribution of a sum of dependent random variables},
booktitle = {Proceedings of the {S}ixth {B}erkeley {S}ymposium on
{M}athematical {S}tatistics and {P}robability ({U}niv.
{C}alifornia, {B}erkeley, {C}alif., 1970/1971), {V}ol.
{II}: {P}robability theory},
pages = {583--602},
publisher = {Univ. California Press, Berkeley, CA},
year = {1972},
mrclass = {60F05},
mrnumber = {402873},
mrreviewer = {A. K. Ale\v{s}kevi\v{c}ien\.{e}}
}
@Book{ stein:86:approximate,
author = {Stein, Charles},
title = {Approximate computation of expectations},
series = {Institute of Mathematical Statistics Lecture
Notes---Monograph Series},
volume = {7},
publisher = {Institute of Mathematical Statistics, Hayward, CA},
year = {1986},
pages = {iv+164},
isbn = {0-940600-08-0},
mrclass = {60F05 (60C05 62E20)},
mrnumber = {882007},
mrreviewer = {M. B. Woodroofe}
}
@Book{ stein:93:harmonic,
author = {Stein, Elias M.},
title = {Harmonic analysis: real-variable methods, orthogonality,
and oscillatory integrals},
series = {Princeton Mathematical Series},
volume = {43},
note = {With the assistance of Timothy S. Murphy, Monographs in
Harmonic Analysis, III},
publisher = {Princeton University Press, Princeton, NJ},
year = {1993},
pages = {xiv+695},
isbn = {0-691-03216-5},
mrclass = {42-02 (35Sxx 43-02 47G30)},
mrnumber = {1232192},
mrreviewer = {Michael Cowling}
}
@Book{ stein:99:interpolation,
author = {Stein, Michael L.},
title = {Interpolation of spatial data},
series = {Springer Series in Statistics},
note = {Some theory for Kriging},
publisher = {Springer-Verlag, New York},
year = {1999},
pages = {xviii+247},
isbn = {0-387-98629-4},
mrclass = {62M30 (62-02 62M40)},
mrnumber = {1697409},
mrreviewer = {Dietrich Stoyan},
doi = {10.1007/978-1-4612-1494-6},
url = {https://doi.org/10.1007/978-1-4612-1494-6}
}
@Article{ steinberg.zeitouni:92:on,
author = {Steinberg, Y. and Zeitouni, O.},
title = {On tests for normality},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {38},
year = {1992},
number = {6},
pages = {1779--1787},
issn = {0018-9448,1557-9654},
mrclass = {62M40 (62F03 94A17)},
mrnumber = {1187819},
mrreviewer = {Marek\ Ka\l uszka},
doi = {10.1109/18.165450},
url = {https://doi.org/10.1109/18.165450}
}
@InCollection{ stettner.zabczyk:80:stochastic,
author = {Stettner, \L . and Zabczyk, J.},
title = {Stochastic version of a penalty method},
booktitle = {Optimization techniques ({P}roc. {N}inth {IFIP} {C}onf.,
{W}arsaw, 1979), {P}art 1},
series = {Lect. Notes Control Inf. Sci.},
volume = {22},
pages = {179--183},
publisher = {Springer, Berlin-New York},
year = {1980},
isbn = {3-540-10080-6},
mrclass = {49D30},
mrnumber = {588530},
mrreviewer = {Bension\ Kurtaran}
}
@Article{ stettner.zabczyk:80:strong,
author = {Stettner, \L . and Zabczyk, J.},
title = {Strong envelopes of stochastic processes and a penalty
method},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {4},
year = {1980/81},
number = {4},
pages = {267--280},
issn = {0090-9491},
mrclass = {60G44 (60J35 62L15)},
mrnumber = {609689},
mrreviewer = {F.\ B.\ Knight},
doi = {10.1080/17442508108833167},
url = {https://doi.org/10.1080/17442508108833167}
}
@Article{ stevens:00:derivation,
author = {Stevens, Angela},
title = {The derivation of chemotaxis equations as limit dynamics
of moderately interacting stochastic many-particle
systems},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {61},
year = {2000},
number = {1},
pages = {183--212},
issn = {0036-1399},
mrclass = {92C17 (60K99 92D50)},
mrnumber = {1776393},
mrreviewer = {John G. Milton},
doi = {10.1137/S0036139998342065},
url = {https://doi.org/10.1137/S0036139998342065}
}
@Article{ stewartson.stuart:71:non-linear,
author = {Stewartson, K. and Stuart, J. T.},
title = {A non-linear instability theory for a wave system in plane
{P}oiseuille flow},
journal = {J. Fluid Mech.},
fjournal = {Journal of Fluid Mechanics},
volume = {48},
year = {1971},
pages = {529--545},
issn = {0022-1120},
mrclass = {76.35},
mrnumber = {309420},
mrreviewer = {R. Ballabh},
doi = {10.1017/S0022112071001733},
url = {https://doi.org/10.1017/S0022112071001733}
}
@Article{ stinner.winkler:11:global,
author = {Stinner, Christian and Winkler, Michael},
title = {Global weak solutions in a chemotaxis system with large
singular sensitivity},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {12},
year = {2011},
number = {6},
pages = {3727--3740},
issn = {1468-1218},
mrclass = {35K51 (35A20 35K91 92C17)},
mrnumber = {2833007},
doi = {10.1016/j.nonrwa.2011.07.006},
url = {https://doi.org/10.1016/j.nonrwa.2011.07.006}
}
@Article{ stocke:84:differentiability,
author = {Stocke, Britt-Marie},
title = {Differentiability properties of {B}essel potentials and
{B}esov functions},
journal = {Ark. Mat.},
fjournal = {Arkiv f\"{o}r Matematik},
volume = {22},
year = {1984},
number = {2},
pages = {269--286},
issn = {0004-2080},
mrclass = {46E35 (26A24 31B15)},
mrnumber = {765414},
mrreviewer = {Takahide Kurokawa},
doi = {10.1007/BF02384383},
url = {https://doi.org/10.1007/BF02384383}
}
@Book{ stoyan:83:comparison,
author = {Stoyan, Dietrich},
title = {Comparison methods for queues and other stochastic
models},
series = {Wiley Series in Probability and Mathematical Statistics:
Applied Probability and Statistics},
note = {Translation from the German edited by Daryl J. Daley},
publisher = {John Wiley \& Sons, Ltd., Chichester},
year = {1983},
pages = {xiii+217},
isbn = {0-471-10122-2},
mrclass = {60K25 (60E15 60F05 90B22)},
mrnumber = {754339}
}
@Book{ stoyanov:13:counterexamples,
author = {Stoyanov, Jordan M.},
title = {Counterexamples in probability},
note = {Third edition of [ MR0930671], Revised, corrected and
amended reprint of the second edition [ MR3444842]},
publisher = {Dover Publications, Inc., Mineola, NY},
year = {2013},
pages = {xxx+368},
isbn = {978-0-486-49998-7; 0-486-49998-7},
mrclass = {60-01 (60-02 60Axx 60Fxx 60Gxx 60Jxx)},
mrnumber = {3837562},
mrreviewer = {Anthony G. Pakes}
}
@Article{ strassen:65:existence,
author = {Strassen, V.},
title = {The existence of probability measures with given
marginals},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {36},
year = {1965},
pages = {423--439},
issn = {0003-4851},
mrclass = {60.05 (60.20)},
mrnumber = {177430},
mrreviewer = {J. Wolfowitz},
doi = {10.1214/aoms/1177700153},
url = {https://doi.org/10.1214/aoms/1177700153}
}
@Book{ stratonovich:63:topics,
author = {Stratonovich, R. L.},
title = {Topics in the theory of random noise. {V}ol. {I}:
{G}eneral theory of random processes. {N}onlinear
transformations of signals and noise},
edition = {English},
note = {Translated from the Russian by Richard A. Silverman},
publisher = {Gordon and Breach Science Publishers, New York-London},
year = {1963},
pages = {xiii+292},
mrclass = {60.90 (94.10)},
mrnumber = {158437},
mrreviewer = {A. T. Bharucha-Reid}
}
@Book{ strauss:08:partial,
author = {Strauss, Walter A.},
title = {Partial differential equations},
edition = {Second},
note = {An introduction},
publisher = {John Wiley \& Sons, Ltd., Chichester},
year = {2008},
pages = {x+454},
isbn = {978-0-470-05456-7},
mrclass = {35-01},
mrnumber = {2398759}
}
@Article{ strehl.sokolov.ea:12:efficient,
author = {Strehl, Robert and Sokolov, Andriy and Turek, Stefan},
title = {Efficient, accurate and flexible finite element solvers
for chemotaxis problems},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications. An
International Journal},
volume = {64},
year = {2012},
number = {3},
pages = {175--189},
issn = {0898-1221},
mrclass = {92C17 (65M60)},
mrnumber = {2944801},
doi = {10.1016/j.camwa.2011.12.040},
url = {https://doi.org/10.1016/j.camwa.2011.12.040}
}
@Article{ strehl.sokolov.ea:13:positivity-preserving,
author = {Strehl, Robert and Sokolov, Andriy and Kuzmin, Dmitri and
Horstmann, Dirk and Turek, Stefan},
title = {A positivity-preserving finite element method for
chemotaxis problems in 3{D}},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {239},
year = {2013},
pages = {290--303},
issn = {0377-0427},
mrclass = {65M60 (92C17)},
mrnumber = {2991973},
mrreviewer = {Beny Neta},
doi = {10.1016/j.cam.2012.09.041},
url = {https://doi.org/10.1016/j.cam.2012.09.041}
}
@Article{ strichartz:67:multipliers,
author = {Strichartz, Robert S.},
title = {Multipliers on fractional {S}obolev spaces},
journal = {J. Math. Mech.},
volume = {16},
year = {1967},
pages = {1031--1060},
mrclass = {46.38},
mrnumber = {0215084},
mrreviewer = {W. Littman}
}
@Article{ strick.mainardi:82:on,
author = {Strick, E. and Mainardi, F.},
title = {On a general class of constant-Q solids},
journal = {Geophysical Journal of the Royal Astronomical Society},
volume = {69},
number = {2},
pages = {415--429},
doi = {https://doi.org/10.1111/j.1365-246X.1982.tb04958.x},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1365-246X.1982.tb04958.x},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1365-246X.1982.tb04958.x},
year = {1982}
}
@Article{ strick:70:predicted,
author = {E. Strick},
title = {A PREDICTED PEDESTAL EFFECT FOR PULSE PROPAGATION IN
CONSTANT-Q SOLIDS},
journal = {GEOPHYSICS},
volume = {35},
number = {3},
pages = {387--403},
year = {1970},
doi = {10.1190/1.1440101},
url = {https://doi.org/10.1190/1.1440101},
eprint = {https://doi.org/10.1190/1.1440101}
}
@Article{ stricker.yor:78:calcul,
author = {Stricker, C. and Yor, M.},
title = {Calcul stochastique d\'{e}pendant d'un param\`etre},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {45},
year = {1978},
number = {2},
pages = {109--133},
issn = {0044-3719},
mrclass = {60G44 (60H05)},
mrnumber = {510530},
mrreviewer = {Dominique L\'{e}pingle},
doi = {10.1007/BF00715187},
url = {https://doi.org/10.1007/BF00715187}
}
@Book{ stroock.varadhan:06:multidimensional,
author = {Stroock, Daniel W. and Varadhan, S. R. Srinivasa},
title = {Multidimensional diffusion processes},
series = {Classics in Mathematics},
note = {Reprint of the 1997 edition},
publisher = {Springer-Verlag, Berlin},
year = {2006},
pages = {xii+338},
isbn = {978-3-540-28998-2; 3-540-28998-4},
mrclass = {60-02 (60H05 60J25 60J60 60J65)},
mrnumber = {2190038}
}
@Article{ stroock.varadhan:69:diffusion,
author = {Stroock, Daniel W. and Varadhan, S. R. S.},
title = {Diffusion processes with continuous coefficients. {I}},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {22},
year = {1969},
pages = {345--400},
issn = {0010-3640,1097-0312},
mrclass = {60.62 (35.00)},
mrnumber = {253426},
mrreviewer = {H.\ P.\ McKean, Jr.},
doi = {10.1002/cpa.3160220304},
url = {https://doi.org/10.1002/cpa.3160220304}
}
@Article{ stroock.varadhan:69:diffusion*1,
author = {Stroock, Daniel W. and Varadhan, S. R. S.},
title = {Diffusion processes with continuous coefficients. {II}},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {22},
year = {1969},
pages = {479--530},
issn = {0010-3640,1097-0312},
mrclass = {60.62},
mrnumber = {254923},
mrreviewer = {H.\ P.\ McKean, Jr.},
doi = {10.1002/cpa.3160220404},
url = {https://doi.org/10.1002/cpa.3160220404}
}
@Article{ stroock.varadhan:71:diffusion,
author = {Stroock, Daniel W. and Varadhan, S. R. S.},
title = {Diffusion processes with boundary conditions},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {24},
year = {1971},
pages = {147--225},
issn = {0010-3640,1097-0312},
mrclass = {60.62},
mrnumber = {277037},
mrreviewer = {J.\ A.\ Beekman},
doi = {10.1002/cpa.3160240206},
url = {https://doi.org/10.1002/cpa.3160240206}
}
@Article{ stroock.varadhan:72:on,
author = {Stroock, D. and Varadhan, S. R. S.},
title = {On degenerate elliptic-parabolic operators of second order
and their associated diffusions},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {25},
year = {1972},
pages = {651--713},
issn = {0010-3640,1097-0312},
mrclass = {35J70 (35K10 60J45)},
mrnumber = {387812},
mrreviewer = {M.\ Biroli},
doi = {10.1002/cpa.3160250603},
url = {https://doi.org/10.1002/cpa.3160250603}
}
@InProceedings{ stroock.varadhan:72:on*1,
author = {Stroock, Daniel W. and Varadhan, S. R. S.},
title = {On the support of diffusion processes with applications to
the strong maximum principle},
booktitle = {Proceedings of the {S}ixth {B}erkeley {S}ymposium on
{M}athematical {S}tatistics and {P}robability ({U}niv.
{C}alifornia, {B}erkeley, {C}alif., 1970/1971), {V}ol.
{III}: {P}robability theory},
pages = {333--359},
year = {1972},
mrclass = {60J60},
mrnumber = {0400425},
mrreviewer = {A. D. Wentzell (Fentcel)}
}
@Article{ stroock.varadhan:73:limit,
author = {Stroock, Daniel W. and Varadhan, S. R. S.},
title = {Limit theorems for random walks on {L}ie groups},
journal = {Sankhy\=a{} Ser. A},
fjournal = {Sankhy\=a{} (Statistics). The Indian Journal of
Statistics. Series A},
volume = {35},
year = {1973},
number = {3},
pages = {277--294},
issn = {0581-572X},
mrclass = {60B15 (60J15)},
mrnumber = {517406}
}
@Book{ stroock.varadhan:79:multidimensional,
author = {Stroock, Daniel W. and Varadhan, S. R. Srinivasa},
title = {Multidimensional diffusion processes},
series = {Grundlehren der Mathematischen Wissenschaften},
volume = {233},
publisher = {Springer-Verlag, Berlin-New York},
year = {1979},
pages = {xii+338},
isbn = {3-540-90353-4},
mrclass = {60J60},
mrnumber = {532498},
mrreviewer = {A. D. Wentzell (Venttsel{\cprime})}
}
@InCollection{ stroock.zeitouni:91:microcanonical,
author = {Stroock, Daniel W. and Zeitouni, Ofer},
title = {Microcanonical distributions, {G}ibbs states, and the
equivalence of ensembles},
booktitle = {Random walks, {B}rownian motion, and interacting particle
systems},
series = {Progr. Probab.},
volume = {28},
pages = {399--424},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1991},
isbn = {0-8176-3509-2},
mrclass = {82B03 (60F10 60F17 82B05)},
mrnumber = {1146461},
mrreviewer = {Christian\ Maes}
}
@InCollection{ stroock.zeitouni:96:variations,
author = {Stroock, D. W. and Zeitouni, O.},
title = {Variations on a theme by {B}ismut},
note = {Hommage \`a P. A. Meyer et J. Neveu},
journal = {Ast\'{e}risque},
fjournal = {Ast\'{e}risque},
number = {236},
year = {1996},
pages = {291--301},
issn = {0303-1179,2492-5926},
mrclass = {58G32},
mrnumber = {1417989},
mrreviewer = {Ming\ Liao}
}
@Book{ stroock:11:probability,
author = {Stroock, Daniel W.},
title = {Probability theory},
edition = {Second},
note = {An analytic view},
publisher = {Cambridge University Press, Cambridge},
year = {2011},
pages = {xxii+527},
isbn = {978-0-521-13250-3},
mrclass = {60-02 (60B11 60F05 60G44 60G51 60J35)},
mrnumber = {2760872},
mrreviewer = {Ofer Zeitouni}
}
@Book{ stroock:14:introduction,
author = {Stroock, Daniel W.},
title = {An introduction to {M}arkov processes},
series = {Graduate Texts in Mathematics},
volume = {230},
edition = {Second},
publisher = {Springer, Heidelberg},
year = {2014},
pages = {xviii+203},
isbn = {978-3-642-40522-8; 978-3-642-40523-5},
mrclass = {60-01 (60J10 60J27)},
mrnumber = {3137424},
doi = {10.1007/978-3-642-40523-5},
url = {https://doi.org/10.1007/978-3-642-40523-5}
}
@InCollection{ stroock:83:some,
author = {Stroock, Daniel W.},
title = {Some applications of stochastic calculus to partial
differential equations},
booktitle = {Eleventh {S}aint {F}lour probability summer school---1981
({S}aint {F}lour, 1981)},
series = {Lecture Notes in Math.},
volume = {976},
pages = {267--382},
publisher = {Springer, Berlin},
year = {1983},
mrclass = {60H15 (35K99 35R60 60J60)},
mrnumber = {722984},
mrreviewer = {Kazuaki Taira},
doi = {10.1007/BFb0067987},
url = {https://doi.org/10.1007/BFb0067987}
}
@Book{ stroock:84:introduction,
author = {Stroock, D. W.},
title = {An introduction to the theory of large deviations},
series = {Universitext},
publisher = {Springer-Verlag, New York},
year = {1984},
pages = {vii+196},
isbn = {0-387-96021-X},
mrclass = {60F10 (60J25)},
mrnumber = {755154},
mrreviewer = {Fran\c{c}ois Bronner},
doi = {10.1007/978-1-4613-8514-1},
url = {https://doi.org/10.1007/978-1-4613-8514-1}
}
@InCollection{ stroock:87:homogeneous,
author = {Stroock, Daniel W.},
title = {Homogeneous chaos revisited},
booktitle = {S\'{e}minaire de {P}robabilit\'{e}s, {XXI}},
series = {Lecture Notes in Math.},
volume = {1247},
pages = {1--7},
publisher = {Springer, Berlin},
year = {1987},
mrclass = {60H99 (28C20 60J65)},
mrnumber = {941972},
mrreviewer = {T. Hida},
doi = {10.1007/BFb0077624},
url = {https://doi.org/10.1007/BFb0077624}
}
@Article{ sturm:03:on,
author = {Sturm, Anja},
title = {On convergence of population processes in random
environments to the stochastic heat equation with colored
noise},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {8},
year = {2003},
pages = {no. 6, 39},
issn = {1083-6489},
mrclass = {60K37 (60H15 60J80)},
mrnumber = {1986838},
mrreviewer = {Utkir Rozikov},
doi = {10.1214/EJP.v8-129},
url = {https://doi.org/10.1214/EJP.v8-129}
}
@Article{ su.lei.ea:21:tracy-widom,
author = {Su, Zhong-gen and Lei, Yu-huan and Shen, Tian},
title = {Tracy-{W}idom distribution, {${\rm Airy}_2$} process and
its sample path properties},
journal = {Appl. Math. J. Chinese Univ. Ser. B},
fjournal = {Applied Mathematics. A Journal of Chinese Universities.
Ser. B},
volume = {36},
year = {2021},
number = {1},
pages = {128--158},
issn = {1005-1031},
mrclass = {60K35 (60B20)},
mrnumber = {4228470},
doi = {10.1007/s11766-021-4251-2},
url = {https://doi.org/10.1007/s11766-021-4251-2}
}
@Article{ subag.zeitouni:15:freezing,
author = {Subag, Eliran and Zeitouni, Ofer},
title = {Freezing and decorated {P}oisson point processes},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {337},
year = {2015},
number = {1},
pages = {55--92},
issn = {0010-3616,1432-0916},
mrclass = {60K35 (60G55)},
mrnumber = {3324155},
mrreviewer = {Christoph\ Th\"{a}le},
doi = {10.1007/s00220-015-2303-2},
url = {https://doi.org/10.1007/s00220-015-2303-2}
}
@Article{ subag.zeitouni:17:extremal,
author = {Subag, Eliran and Zeitouni, Ofer},
title = {The extremal process of critical points of the pure
{$p$}-spin spherical spin glass model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {168},
year = {2017},
number = {3-4},
pages = {773--820},
issn = {0178-8051,1432-2064},
mrclass = {60G55 (15B52 60B20 60G60 60G70 82D30)},
mrnumber = {3663631},
doi = {10.1007/s00440-016-0724-2},
url = {https://doi.org/10.1007/s00440-016-0724-2}
}
@Article{ subag.zeitouni:21:concentration,
author = {Subag, Eliran and Zeitouni, Ofer},
title = {Concentration of the complexity of spherical pure
{$p$}-spin models at arbitrary energies},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {62},
year = {2021},
number = {12},
pages = {Paper No. 123301, 15},
issn = {0022-2488,1089-7658},
mrclass = {82D30 (82B27)},
mrnumber = {4346481},
doi = {10.1063/5.0070582},
url = {https://doi.org/10.1063/5.0070582}
}
@Article{ sudakov.cirel-son:74:extremal,
author = {Sudakov, V. N. and Cirel{\cprime}son, B. S.},
title = {Extremal properties of half-spaces for spherically
invariant measures},
note = {Problems in the theory of probability distributions, II},
journal = {Zap. Nau\v{c}n. Sem. Leningrad. Otdel. Mat. Inst. Steklov.
(LOMI)},
fjournal = {Zapiski Nau\v{c}nyh Seminarov Leningradskogo Otdelenija
Matemati\v{c}eskogo Instituta im. V. A. Steklova Akademii
Nauk SSSR (LOMI)},
volume = {41},
year = {1974},
pages = {14--24, 165},
mrclass = {60G15},
mrnumber = {0365680},
mrreviewer = {R. M. Dudley}
}
@Article{ sugino.tsuchiya:94:critical,
author = {Sugino, Fumihiko and Tsuchiya, Osamu},
title = {Critical behavior in {$c=1$} matrix model with branching
interactions},
journal = {Modern Phys. Lett. A},
fjournal = {Modern Physics Letters A. Particles and Fields,
Gravitation, Cosmology, Nuclear Physics},
volume = {9},
year = {1994},
number = {34},
pages = {3149--3162},
issn = {0217-7323},
mrclass = {81T40},
mrnumber = {1306193},
mrreviewer = {Yolanda Lozano},
doi = {10.1142/S0217732394002975},
url = {https://doi.org/10.1142/S0217732394002975}
}
@Article{ sugitani:89:some,
author = {Sugitani, Sadao},
title = {Some properties for the measure-valued branching diffusion
processes},
journal = {J. Math. Soc. Japan},
fjournal = {Journal of the Mathematical Society of Japan},
volume = {41},
year = {1989},
number = {3},
pages = {437--462},
issn = {0025-5645},
mrclass = {60J80 (60G57 60J55)},
mrnumber = {999507},
mrreviewer = {Klaus Fleischmann},
doi = {10.2969/jmsj/04130437},
url = {https://doi.org/10.2969/jmsj/04130437}
}
@Article{ sugiyama.kunii:06:global,
author = {Sugiyama, Yoshie and Kunii, Hiroko},
title = {Global existence and decay properties for a degenerate
{K}eller-{S}egel model with a power factor in drift term},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {227},
year = {2006},
number = {1},
pages = {333--364},
issn = {0022-0396},
mrclass = {35K57 (35B33 35K50 35K65 35Q80)},
mrnumber = {2235324},
mrreviewer = {Adrien Blanchet},
doi = {10.1016/j.jde.2006.03.003},
url = {https://doi.org/10.1016/j.jde.2006.03.003}
}
@Article{ sugiyama.tsutsui.ea:14:global,
author = {Sugiyama, Y. and Tsutsui, Y. and Vel\'{a}zquez, J. J. L.},
title = {Global solutions to a chemotaxis system with non-diffusive
memory},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {410},
year = {2014},
number = {2},
pages = {908--917},
issn = {0022-247X},
mrclass = {92C17},
mrnumber = {3111877},
doi = {10.1016/j.jmaa.2013.08.065},
url = {https://doi.org/10.1016/j.jmaa.2013.08.065}
}
@Article{ sugiyama:06:global,
author = {Sugiyama, Yoshie},
title = {Global existence in sub-critical cases and finite time
blow-up in super-critical cases to degenerate
{K}eller-{S}egel systems},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {19},
year = {2006},
number = {8},
pages = {841--876},
issn = {0893-4983},
mrclass = {35K45 (35B40 35K57 92C17)},
mrnumber = {2263432}
}
@Article{ sugiyama:07:time,
author = {Sugiyama, Yoshie},
title = {Time global existence and asymptotic behavior of solutions
to degenerate quasi-linear parabolic systems of
chemotaxis},
journal = {Differential Integral Equations},
fjournal = {Differential and Integral Equations. An International
Journal for Theory \& Applications},
volume = {20},
year = {2007},
number = {2},
pages = {133--180},
issn = {0893-4983},
mrclass = {35K57 (35B30 35B45 35B65 35D05 35Q80 92C17)},
mrnumber = {2294463},
mrreviewer = {Adrien Blanchet}
}
@Article{ sun.xiao.ea:18:uniform,
author = {Sun, Xiaobin and Xiao, Yimin and Xu, Lihu and Zhai,
Jianliang},
title = {Uniform dimension results for a family of {M}arkov
processes},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {24},
year = {2018},
number = {4B},
pages = {3924--3951},
issn = {1350-7265,1573-9759},
mrclass = {60G17 (28A80 60G18 60G51 60J25)},
mrnumber = {3788192},
mrreviewer = {Marta\ Tyran-Kami\'{n}ska},
doi = {10.3150/17-BEJ994},
url = {https://doi.org/10.3150/17-BEJ994}
}
@Book{ sutherland:04:beautiful,
author = {Sutherland, Bill},
title = {Beautiful models},
note = {70 years of exactly solved quantum many-body problems},
publisher = {World Scientific Publishing Co., Inc., River Edge, NJ},
year = {2004},
pages = {xvi+381},
isbn = {981-238-859-1; 981-238-897-4},
mrclass = {82B23 (82-02 82B20 82B21)},
mrnumber = {2076670},
mrreviewer = {Anatoliy Yu. Zakharov},
doi = {10.1142/5552},
url = {https://doi.org/10.1142/5552}
}
@Book{ sutton:05:stochastic,
author = {Sutton, Brian D.},
title = {The stochastic operator approach to random matrix theory},
note = {Thesis (Ph.D.)--Massachusetts Institute of Technology},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2005},
pages = {(no paging)},
mrclass = {Thesis},
mrnumber = {2717319},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0808691}
}
@Book{ suzuki.senba:11:applied,
author = {Suzuki, Takashi and Senba, Takasi},
title = {Applied analysis},
edition = {Second},
note = {Mathematical methods in natural science},
publisher = {Published by Imperial College Press, London; Distributed
by World Scientific Publishing Co. Pte. Ltd., Hackensack,
NJ},
year = {2011},
pages = {xvi+515},
isbn = {978-1-84816-652-3; 1-84816-652-4},
mrclass = {00A69 (35K91 35P25 46N20 47N20 49-02)},
mrnumber = {2790860},
doi = {10.1142/p753},
url = {https://doi.org/10.1142/p753}
}
@Book{ suzuki:05:free,
author = {Suzuki, Takashi},
title = {Free energy and self-interacting particles},
series = {Progress in Nonlinear Differential Equations and their
Applications},
volume = {62},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {2005},
pages = {xiv+366},
isbn = {978-0-8176-4302-7; 0-8176-4302-8},
mrclass = {35-02 (35J60 35K55 47J30 80A30 82C21)},
mrnumber = {2135150},
mrreviewer = {Gary M. Lieberman},
doi = {10.1007/0-8176-4436-9},
url = {https://doi.org/10.1007/0-8176-4436-9}
}
@Book{ swanson:04:variations,
author = {Swanson, Jason},
title = {Variations of stochastic processes: {A}lternative
approaches},
note = {Thesis (Ph.D.)--University of Washington},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2004},
pages = {121},
isbn = {978-0496-86690-8},
mrclass = {99-05},
mrnumber = {2706228},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3139549}
}
@Article{ swanson:07:variations,
author = {Swanson, Jason},
title = {Variations of the solution to a stochastic heat equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {35},
year = {2007},
number = {6},
pages = {2122--2159},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (60F17 60G15 60G18 60H05)},
mrnumber = {2353385},
mrreviewer = {Anna\ Talarczyk},
doi = {10.1214/009117907000000196},
url = {https://doi.org/10.1214/009117907000000196}
}
@Article{ swanson:07:weak,
author = {Swanson, Jason},
title = {Weak convergence of the scaled median of independent
{B}rownian motions},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {138},
year = {2007},
number = {1-2},
pages = {269--304},
issn = {0178-8051,1432-2064},
mrclass = {60F17 (60G15)},
mrnumber = {2288071},
mrreviewer = {Xavier\ Bardina},
doi = {10.1007/s00440-006-0024-3},
url = {https://doi.org/10.1007/s00440-006-0024-3}
}
@Article{ swanson:11:fluctuations,
author = {Swanson, Jason},
title = {Fluctuations of the empirical quantiles of independent
{B}rownian motions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {3},
pages = {479--514},
issn = {0304-4149,1879-209X},
mrclass = {60F17 (60G15 60G17 60G18 60J65 62G30)},
mrnumber = {2763093},
mrreviewer = {Anatoliy\ Malyarenko},
doi = {10.1016/j.spa.2010.11.012},
url = {https://doi.org/10.1016/j.spa.2010.11.012}
}
@Article{ swi-ech.zabczyk:13:uniqueness,
author = {\'{S}wi\polhk ech, Andrzej and Zabczyk, Jerzy},
title = {Uniqueness for integro-{PDE} in {H}ilbert spaces},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {38},
year = {2013},
number = {1},
pages = {233--259},
issn = {0926-2601},
mrclass = {35K55 (35D40 35R60 49L25 60G51 60H15)},
mrnumber = {3010779},
doi = {10.1007/s11118-011-9271-8},
url = {https://doi.org/10.1007/s11118-011-9271-8}
}
@Article{ swi-ech.zabczyk:16:integro-pde,
author = {\'{S}wi\polhk ech, Andrzej and Zabczyk, Jerzy},
title = {Integro-{PDE} in {H}ilbert spaces: existence of viscosity
solutions},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {45},
year = {2016},
number = {4},
pages = {703--736},
issn = {0926-2601},
mrclass = {49L25 (35D40 35K60 35R09 60H15 93E20)},
mrnumber = {3558357},
mrreviewer = {Naoki Yamada},
doi = {10.1007/s11118-016-9563-0},
url = {https://doi.org/10.1007/s11118-016-9563-0}
}
@Article{ swiech.zabczyk:11:large,
author = {\'{S}wi\c{e}ch, Andrzej and Zabczyk, Jerzy},
title = {Large deviations for stochastic {PDE} with {L}\'{e}vy
noise},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {260},
year = {2011},
number = {3},
pages = {674--723},
issn = {0022-1236},
mrclass = {60H15 (60F10 60G51)},
mrnumber = {2737394},
mrreviewer = {Hendrik Weber},
doi = {10.1016/j.jfa.2010.09.016},
url = {https://doi.org/10.1016/j.jfa.2010.09.016}
}
@Article{ symanzik:69:euclidean,
author = {Symanzik, Kurt},
title = {Euclidean quantum field theory},
journal = {Rend. Scuola Int. Fis. Enrico Fermi},
fjournal = {Rendiconti della Scuola Internazionale di Fisica ``Enrico
Fermi''},
volume = {45},
year = {1969},
pages = {152--226},
note = {Lecture notes from the International School of Physics
``Enrico Fermi'', Course XLV, Varenna, 1968},
url = {https://www.osti.gov/biblio/4117149}
}
@InProceedings{ symanzik:77:regularized,
author = {Symanzik, K.},
title = {Regularized quantum field theory},
booktitle = {New developments in quantum field theory and statistical
mechanics ({P}roc. {C}arg\`ese {S}ummer {I}nst.,
{C}arg\`ese, 1976)},
series = {NATO Adv. Study Inst. Ser. B: Physics},
volume = {26},
pages = {265--279},
publisher = {Plenum, New York-London},
year = {1977},
mrclass = {81B05 (81E10)},
mrnumber = {508196}
}
@Article{ sznitman.zeitouni:04:on,
author = {Sznitman, Alain-Sol and Zeitouni, Ofer},
title = {On the diffusive behavior of isotropic diffusions in a
random environment},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {339},
year = {2004},
number = {6},
pages = {429--434},
issn = {1631-073X,1778-3569},
mrclass = {60K37 (60J60)},
mrnumber = {2092758},
mrreviewer = {Fabio\ P.\ Machado},
doi = {10.1016/j.crma.2004.07.012},
url = {https://doi.org/10.1016/j.crma.2004.07.012}
}
@Article{ sznitman.zeitouni:06:invariance,
author = {Sznitman, Alain-Sol and Zeitouni, Ofer},
title = {An invariance principle for isotropic diffusions in random
environment},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {164},
year = {2006},
number = {3},
pages = {455--567},
issn = {0020-9910,1432-1297},
mrclass = {60F17 (60K37 82B44)},
mrnumber = {2221130},
mrreviewer = {Zhong\ Gen\ Su},
doi = {10.1007/s00222-005-0477-5},
url = {https://doi.org/10.1007/s00222-005-0477-5}
}
@InCollection{ sznitman:91:topics,
author = {Sznitman, Alain-Sol},
title = {Topics in propagation of chaos},
booktitle = {\'{E}cole d'\'{E}t\'{e} de {P}robabilit\'{e}s de
{S}aint-{F}lour {XIX}---1989},
series = {Lecture Notes in Math.},
volume = {1464},
pages = {165--251},
publisher = {Springer, Berlin},
year = {1991},
mrclass = {60J60 (60K35 82C40)},
mrnumber = {1108185},
mrreviewer = {Maria E. Vares},
doi = {10.1007/BFb0085169},
url = {https://doi.org/10.1007/BFb0085169}
}
@Article{ sznitman:93:brownian,
author = {Sznitman, Alain-Sol},
title = {Brownian asymptotics in a {P}oissonian environment},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {95},
year = {1993},
number = {2},
pages = {155--174},
issn = {0178-8051},
mrclass = {60K35 (60J65 82D30)},
mrnumber = {1214085},
mrreviewer = {Francis Comets},
doi = {10.1007/BF01192268},
url = {https://doi.org/10.1007/BF01192268}
}
@Article{ sznitman:93:brownian*1,
author = {Sznitman, Alain-Sol},
title = {Brownian survival among {G}ibbsian traps},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {21},
year = {1993},
number = {1},
pages = {490--508},
issn = {0091-1798},
mrclass = {60K35 (60J65 82D30)},
mrnumber = {1207235},
mrreviewer = {Ingemar Kaj},
url = {http://links.jstor.org/sici?sici=0091-1798(199301)21:1<490:BSAGT>2.0.CO;2-9&origin=MSN}
}
@Book{ sznitman:98:brownian,
author = {Sznitman, Alain-Sol},
title = {Brownian motion, obstacles and random media},
series = {Springer Monographs in Mathematics},
publisher = {Springer-Verlag, Berlin},
year = {1998},
pages = {xvi+353},
isbn = {3-540-64554-3},
mrclass = {60J65 (60K35 82B41 82B44 82D30)},
mrnumber = {1717054},
mrreviewer = {Ingemar Kaj},
doi = {10.1007/978-3-662-11281-6},
url = {https://doi.org/10.1007/978-3-662-11281-6}
}
@Article{ takahashi:11:replica,
author = {Takahashi, Kazutaka},
title = {Replica analysis of partition-function zeros in spin-glass
models},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {44},
year = {2011},
number = {23},
pages = {235001, 23},
issn = {1751-8113},
mrclass = {82B27 (82B44)},
mrnumber = {2800842},
mrreviewer = {Nikolai B. Melnikov},
doi = {10.1088/1751-8113/44/23/235001},
url = {https://doi.org/10.1088/1751-8113/44/23/235001}
}
@Article{ takano.narita:74:on,
author = {Takano, Masaru and Narita, Kiyomasa},
title = {On the solutions of stochastic differential equations with
jumps from the boundary},
journal = {Sci. Rep. Tokyo Kyoiku Daigaku Sect. A},
fjournal = {Science Reports of the Tokyo Kyoiku Daigaku. Section A},
volume = {12},
year = {1974},
pages = {174--177},
issn = {0371-3539},
mrclass = {60J60 (60H20)},
mrnumber = {362518},
mrreviewer = {H. P. McKean, Jr.}
}
@Article{ takeuchi.sano.ea:11:growing,
title = {Growing interfaces uncover universal fluctuations behind
scale invariance},
author = {Takeuchi, Kazumasa A and Sano, Masaki and Sasamoto,
Tomohiro and Spohn, Herbert},
journal = {Sci. Rep.},
fjournal = {Scientific Reports},
volume = {1},
number = {1},
pages = {1--5},
year = {2011},
publisher = {Nature Publishing Group}
}
@Article{ takeuchi.sano:10:universal,
title = {Universal Fluctuations of Growing Interfaces: Evidence in
Turbulent Liquid Crystals},
author = {Takeuchi, Kazumasa A. and Sano, Masaki},
journal = {Phys. Rev. Lett.},
volume = {104},
issue = {23},
pages = {230601},
numpages = {4},
year = {2010},
month = {Jun},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.104.230601},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.104.230601}
}
@Article{ takeuchi.sano:12:evidence,
author = "Takeuchi, Kazumasa A. and Sano, Masaki",
title = "Evidence for Geometry-Dependent Universal Fluctuations of
the Kardar-Parisi-Zhang Interfaces in Liquid-Crystal
Turbulence",
journal = "Journal of Statistical Physics",
year = "2012",
month = "Jun",
day = "01",
volume = "147",
number = "5",
pages = "853--890",
issn = "1572-9613",
doi = "10.1007/s10955-012-0503-0",
url = "https://doi.org/10.1007/s10955-012-0503-0"
}
@Article{ talagrand.xiao:96:fractional,
author = {Talagrand, Michel and Xiao, Yimin},
title = {Fractional {B}rownian motion and packing dimension},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {9},
year = {1996},
number = {3},
pages = {579--593},
issn = {0894-9840,1572-9230},
mrclass = {60J65 (28A78 60G17)},
mrnumber = {1400588},
doi = {10.1007/BF02214076},
url = {https://doi.org/10.1007/BF02214076}
}
@InCollection{ talagrand:02:gaussian,
author = {Talagrand, Michel},
title = {Gaussian averages, {B}ernoulli averages, and {G}ibbs'
measures},
note = {Random structures and algorithms (Poznan, 2001)},
journal = {Random Structures Algorithms},
fjournal = {Random Structures \& Algorithms},
volume = {21},
year = {2002},
number = {3-4},
pages = {197--204},
issn = {1042-9832},
mrclass = {60G50 (60G15 60K35)},
mrnumber = {1945366},
mrreviewer = {Dimitri Petritis},
doi = {10.1002/rsa.10059},
url = {https://doi.org/10.1002/rsa.10059}
}
@Article{ talagrand:03:on,
author = {Talagrand, Michel},
title = {On {G}uerra's broken replica-symmetry bound},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {337},
year = {2003},
number = {7},
pages = {477--480},
issn = {1631-073X},
mrclass = {82B44 (60E15 60K35)},
mrnumber = {2023757},
doi = {10.1016/j.crma.2003.09.001},
url = {https://doi.org/10.1016/j.crma.2003.09.001}
}
@Book{ talagrand:03:spin,
author = {Talagrand, Michel},
title = {Spin glasses: a challenge for mathematicians},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3.
Folge. A Series of Modern Surveys in Mathematics [Results
in Mathematics and Related Areas. 3rd Series. A Series of
Modern Surveys in Mathematics]},
volume = {46},
note = {Cavity and mean field models},
publisher = {Springer-Verlag, Berlin},
year = {2003},
pages = {x+586},
isbn = {3-540-00356-8},
mrclass = {82B44 (60K35 82-02 82B20 82D30)},
mrnumber = {1993891},
mrreviewer = {Anton Bovier}
}
@Article{ talagrand:06:parisi,
author = {Talagrand, Michel},
title = {Parisi measures},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {231},
year = {2006},
number = {2},
pages = {269--286},
issn = {0022-1236},
mrclass = {82B44 (28A33 82D30)},
mrnumber = {2195333},
doi = {10.1016/j.jfa.2005.03.001},
url = {https://doi.org/10.1016/j.jfa.2005.03.001}
}
@Article{ talagrand:06:parisi*1,
author = {Talagrand, Michel},
title = {The {P}arisi formula},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {163},
year = {2006},
number = {1},
pages = {221--263},
issn = {0003-486X},
mrclass = {82B44 (82D30)},
mrnumber = {2195134},
mrreviewer = {Fran\c{c}ois Germinet},
doi = {10.4007/annals.2006.163.221},
url = {https://doi.org/10.4007/annals.2006.163.221}
}
@Article{ talagrand:10:construction,
author = {Talagrand, Michel},
title = {Construction of pure states in mean field models for spin
glasses},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {148},
year = {2010},
number = {3-4},
pages = {601--643},
issn = {0178-8051},
mrclass = {82B44 (82D30)},
mrnumber = {2678900},
mrreviewer = {Nicoletta Cancrini},
doi = {10.1007/s00440-009-0242-6},
url = {https://doi.org/10.1007/s00440-009-0242-6}
}
@Book{ talagrand:11:mean,
author = {Talagrand, Michel},
title = {Mean field models for spin glasses. {V}olume {I}},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3.
Folge. A Series of Modern Surveys in Mathematics [Results
in Mathematics and Related Areas. 3rd Series. A Series of
Modern Surveys in Mathematics]},
volume = {54},
note = {Basic examples},
publisher = {Springer-Verlag, Berlin},
year = {2011},
pages = {xviii+485},
isbn = {978-3-642-15201-6},
mrclass = {82B44 (60K35 60K37 82-02 82C32 82C44 82D30 92B20)},
mrnumber = {2731561},
mrreviewer = {Francis Comets},
doi = {10.1007/978-3-642-15202-3},
url = {https://doi.org/10.1007/978-3-642-15202-3}
}
@Book{ talagrand:11:mean*1,
author = {Talagrand, Michel},
title = {Mean field models for spin glasses. {V}olume {II}},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3.
Folge. A Series of Modern Surveys in Mathematics [Results
in Mathematics and Related Areas. 3rd Series. A Series of
Modern Surveys in Mathematics]},
volume = {55},
note = {Advanced replica-symmetry and low temperature},
publisher = {Springer, Heidelberg},
year = {2011},
pages = {xii+629},
isbn = {978-3-642-22252-8; 978-3-642-22253-5},
mrclass = {60F10 (60G15 60K35 82B44 82C32 92E10)},
mrnumber = {3024566},
mrreviewer = {Francis Comets}
}
@Article{ talagrand:94:sharper,
author = {Talagrand, M.},
title = {Sharper bounds for {G}aussian and empirical processes},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {1},
pages = {28--76},
issn = {0091-1798},
mrclass = {60G50 (60E99 60G17 62E99)},
mrnumber = {1258865},
mrreviewer = {Evarist Gin\'{e}},
url = {http://links.jstor.org/sici?sici=0091-1798(199401)22:1<28:SBFGAE>2.0.CO;2-W&origin=MSN}
}
@Article{ talagrand:94:small,
author = {Talagrand, Michel},
title = {The small ball problem for the {B}rownian sheet},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {22},
year = {1994},
number = {3},
pages = {1331--1354},
issn = {0091-1798},
mrclass = {60E15 (28C20 60B11 60G17)},
mrnumber = {1303647},
mrreviewer = {Wenbo V. Li},
url = {http://links.jstor.org/sici?sici=0091-1798(199407)22:3<1331:TSBPFT>2.0.CO;2-4&origin=MSN}
}
@Article{ talagrand:95:concentration,
author = {Talagrand, Michel},
title = {Concentration of measure and isoperimetric inequalities in
product spaces},
journal = {Inst. Hautes \'{E}tudes Sci. Publ. Math.},
fjournal = {Institut des Hautes \'{E}tudes Scientifiques. Publications
Math\'{e}matiques},
number = {81},
year = {1995},
pages = {73--205},
issn = {0073-8301},
mrclass = {60E15 (60D05)},
mrnumber = {1361756},
mrreviewer = {G. Schechtman},
url = {http://www.numdam.org/item?id=PMIHES_1995__81__73_0}
}
@Article{ talagrand:95:hausdorff,
author = {Talagrand, Michel},
title = {Hausdorff measure of trajectories of multiparameter
fractional {B}rownian motion},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {2},
pages = {767--775},
issn = {0091-1798},
mrclass = {60G15 (60J65)},
mrnumber = {1334170},
mrreviewer = {Pierre Vallois},
url = {http://links.jstor.org/sici?sici=0091-1798(199504)23:2<767:HMOTOM>2.0.CO;2-P&origin=MSN}
}
@Article{ talagrand:96:new,
author = {Talagrand, Michel},
title = {New concentration inequalities in product spaces},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {126},
year = {1996},
number = {3},
pages = {505--563},
issn = {0020-9910},
mrclass = {60E15 (46B09 46N30 60F10)},
mrnumber = {1419006},
mrreviewer = {G. Schechtman},
doi = {10.1007/s002220050108},
url = {https://doi.org/10.1007/s002220050108}
}
@Article{ talagrand:96:transportation,
author = {Talagrand, M.},
title = {Transportation cost for {G}aussian and other product
measures},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {6},
year = {1996},
number = {3},
pages = {587--600},
issn = {1016-443X},
mrclass = {60E99},
mrnumber = {1392331},
mrreviewer = {Juan A. Cuesta-Albertos},
doi = {10.1007/BF02249265},
url = {https://doi.org/10.1007/BF02249265}
}
@Article{ talagrand:98:sherrington-kirkpatrick,
author = {Talagrand, Michel},
title = {The {S}herrington-{K}irkpatrick model: a challenge for
mathematicians},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {110},
year = {1998},
number = {2},
pages = {109--176},
issn = {0178-8051},
mrclass = {60K35 (60E15 82B44 82D30)},
mrnumber = {1609019},
mrreviewer = {Barbara Gentz},
doi = {10.1007/s004400050147},
url = {https://doi.org/10.1007/s004400050147}
}
@Article{ talenti:65:sopra,
author = {Talenti, Giorgio},
title = {Sopra una classe di equazioni ellittiche a coefficienti
misurabili},
journal = {Ann. Mat. Pura Appl. (4)},
fjournal = {Annali di Matematica Pura ed Applicata. Serie Quarta},
volume = {69},
year = {1965},
pages = {285--304},
issn = {0003-4622},
mrclass = {35.42},
mrnumber = {201816},
mrreviewer = {G. Geymonat},
doi = {10.1007/BF02414375},
url = {https://doi.org/10.1007/BF02414375}
}
@Article{ talvila:01:necessary,
author = {Talvila, Erik},
title = {Necessary and sufficient conditions for differentiating
under the integral sign},
journal = {Amer. Math. Monthly},
fjournal = {American Mathematical Monthly},
volume = {108},
year = {2001},
number = {6},
pages = {544--548},
issn = {0002-9890},
mrclass = {26A39 (26A24)},
mrnumber = {1840661},
mrreviewer = {\v{S}. Schwabik},
doi = {10.2307/2695709},
url = {https://doi.org/10.2307/2695709}
}
@Article{ tamborenea.das-sarma:93:surface-diffusion-driven,
title = {Surface-diffusion-driven kinetic growth on one-dimensional
substrates},
author = {Tamborenea, P. I. and Das Sarma, S.},
journal = {Phys. Rev. E},
volume = {48},
issue = {4},
pages = {2575--2594},
numpages = {0},
year = {1993},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.48.2575},
url = {https://link.aps.org/doi/10.1103/PhysRevE.48.2575}
}
@Article{ tan.zhou:19:global,
author = {Tan, Zhong and Zhou, Jianfeng},
title = {Global existence and time decay estimate of solutions to
the {K}eller-{S}egel system},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {42},
year = {2019},
number = {1},
pages = {375--402},
issn = {0170-4214},
mrclass = {35Q35 (35A01 35B40 35Q92)},
mrnumber = {3905793},
doi = {10.1002/mma.5352},
url = {https://doi.org/10.1002/mma.5352}
}
@Article{ tanaka.yokota:20:blow-up,
author = {Tanaka, Yuya and Yokota, Tomomi},
title = {Blow-up in a parabolic-elliptic {K}eller-{S}egel system
with density-dependent sublinear sensitivity and logistic
source},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {43},
year = {2020},
number = {12},
pages = {7372--7396},
issn = {0170-4214,1099-1476},
mrclass = {35Q92 (35B44 35K65 35M33 92C17)},
mrnumber = {4124201},
doi = {10.1002/mma.6475},
url = {https://doi.org/10.1002/mma.6475}
}
@Article{ tang.tsai:18:optimal,
author = {Tang, Wenpin and Tsai, Li-Cheng},
title = {Optimal surviving strategy for drifted {B}rownian motions
with absorption},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {46},
year = {2018},
number = {3},
pages = {1597--1650},
issn = {0091-1798},
mrclass = {60K35 (35R35 35R37 82C22)},
mrnumber = {3785596},
doi = {10.1214/17-AOP1211},
url = {https://doi.org/10.1214/17-AOP1211}
}
@Article{ tang.yang:23:noise,
author = {Tang, Hao and Yang, Anita},
title = {Noise effects in some stochastic evolution equations:
global existence and dependence on initial data},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {59},
year = {2023},
number = {1},
pages = {378--410},
issn = {0246-0203},
mrclass = {60H15 (35Q51)},
mrnumber = {4533734},
doi = {10.1214/21-aihp1241},
url = {https://doi.org/10.1214/21-aihp1241}
}
@Book{ tanner:00:engineering,
title = {Engineering Rheology},
author = {Tanner, R.I.},
isbn = {9780191590160},
series = {Oxford Engineering Science Series},
year = {2000},
publisher = {OUP Oxford}
}
@Book{ tao.vu:06:additive,
author = {Tao, Terence and Vu, Van},
title = {Additive combinatorics},
series = {Cambridge Studies in Advanced Mathematics},
volume = {105},
publisher = {Cambridge University Press, Cambridge},
year = {2006},
pages = {xviii+512},
isbn = {978-0-521-85386-6; 0-521-85386-9},
mrclass = {11-02 (05-02 05D10 11B13 11P70 11P82 28D05 37A45)},
mrnumber = {2289012},
mrreviewer = {Sergeu{i} V. Konyagin},
doi = {10.1017/CBO9780511755149},
url = {https://doi.org/10.1017/CBO9780511755149}
}
@Article{ tao.vu:06:on,
author = {Tao, Terence and Vu, Van},
title = {On random {$\pm1$} matrices: singularity and determinant},
journal = {Random Structures Algorithms},
fjournal = {Random Structures \& Algorithms},
volume = {28},
year = {2006},
number = {1},
pages = {1--23},
issn = {1042-9832},
mrclass = {15A52 (60C05)},
mrnumber = {2187480},
mrreviewer = {Hsien-Kuei Hwang},
doi = {10.1002/rsa.20109},
url = {https://doi.org/10.1002/rsa.20109}
}
@InProceedings{ tao.vu:07:condition,
author = {Tao, Terence and Vu, Van},
title = {The condition number of a randomly perturbed matrix},
booktitle = {S{TOC}'07---{P}roceedings of the 39th {A}nnual {ACM}
{S}ymposium on {T}heory of {C}omputing},
pages = {248--255},
publisher = {ACM, New York},
year = {2007},
mrclass = {65F35 (60E15)},
mrnumber = {2402448},
doi = {10.1145/1250790.1250828},
url = {https://doi.org/10.1145/1250790.1250828}
}
@Article{ tao.vu:08:random,
author = {Tao, Terence and Vu, Van},
title = {Random matrices: the circular law},
journal = {Commun. Contemp. Math.},
fjournal = {Communications in Contemporary Mathematics},
volume = {10},
year = {2008},
number = {2},
pages = {261--307},
issn = {0219-1997},
mrclass = {60F15 (11P70 15A52 60F05)},
mrnumber = {2409368},
mrreviewer = {Ben Joseph Green},
doi = {10.1142/S0219199708002788},
url = {https://doi.org/10.1142/S0219199708002788}
}
@Article{ tao.vu:09:inverse,
author = {Tao, Terence and Vu, Van H.},
title = {Inverse {L}ittlewood-{O}fford theorems and the condition
number of random discrete matrices},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {169},
year = {2009},
number = {2},
pages = {595--632},
issn = {0003-486X},
mrclass = {60G50 (15B52 60E15 60F05)},
mrnumber = {2480613},
mrreviewer = {Michael Stolz},
doi = {10.4007/annals.2009.169.595},
url = {https://doi.org/10.4007/annals.2009.169.595}
}
@Article{ tao.vu:10:random,
author = {Tao, Terence and Vu, Van},
title = {Random matrices: the distribution of the smallest singular
values},
journal = {Geom. Funct. Anal.},
fjournal = {Geometric and Functional Analysis},
volume = {20},
year = {2010},
number = {1},
pages = {260--297},
issn = {1016-443X},
mrclass = {60B20},
mrnumber = {2647142},
mrreviewer = {Steven Joel Miller},
doi = {10.1007/s00039-010-0057-8},
url = {https://doi.org/10.1007/s00039-010-0057-8}
}
@Article{ tao.vu:10:random*1,
author = {Tao, Terence and Vu, Van},
title = {Random matrices: universality of {ESD}s and the circular
law},
note = {With an appendix by Manjunath Krishnapur},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {5},
pages = {2023--2065},
issn = {0091-1798},
mrclass = {60B20 (60F15 60F17)},
mrnumber = {2722794},
mrreviewer = {Sasha Sodin},
doi = {10.1214/10-AOP534},
url = {https://doi.org/10.1214/10-AOP534}
}
@Article{ tao.wang.ea:13:large-time,
author = {Tao, Youshan and Wang, Lihe and Wang, Zhi-An},
title = {Large-time behavior of a parabolic-parabolic chemotaxis
model with logarithmic sensitivity in one dimension},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {18},
year = {2013},
number = {3},
pages = {821--845},
issn = {1531-3492},
mrclass = {35K51 (35-04 35B40 35K57 35Q92 92C15 92C17)},
mrnumber = {3007757},
mrreviewer = {Etsushi Nakaguchi},
doi = {10.3934/dcdsb.2013.18.821},
url = {https://doi.org/10.3934/dcdsb.2013.18.821}
}
@Article{ tao.winkler:12:boundedness,
author = {Tao, Youshan and Winkler, Michael},
title = {Boundedness in a quasilinear parabolic-parabolic
{K}eller-{S}egel system with subcritical sensitivity},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {252},
year = {2012},
number = {1},
pages = {692--715},
issn = {0022-0396},
mrclass = {35K51 (35A09 35B35 35B40 92C17)},
mrnumber = {2852223},
doi = {10.1016/j.jde.2011.08.019},
url = {https://doi.org/10.1016/j.jde.2011.08.019}
}
@Article{ tao.winkler:15:boundedness,
author = {Tao, Youshan and Winkler, Michael},
title = {Boundedness and decay enforced by quadratic degradation in
a three-dimensional chemotaxis-fluid system},
journal = {Z. Angew. Math. Phys.},
fjournal = {Zeitschrift f\"{u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics. Journal
de Math\'{e}matiques et de Physique Appliqu\'{e}es},
volume = {66},
year = {2015},
number = {5},
pages = {2555--2573},
issn = {0044-2275},
mrclass = {35Q35 (35A09 35B30 35B40 35B45 35Q92 92C17)},
mrnumber = {3412312},
mrreviewer = {Nicolas Vauchelet},
doi = {10.1007/s00033-015-0541-y},
url = {https://doi.org/10.1007/s00033-015-0541-y}
}
@Article{ tao.winkler:15:persistence,
author = {Tao, Youshan and Winkler, Michael},
title = {Persistence of mass in a chemotaxis system with logistic
source},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {259},
year = {2015},
number = {11},
pages = {6142--6161},
issn = {0022-0396},
mrclass = {35K51 (35B40 35K57 35Q92 92C17)},
mrnumber = {3397319},
mrreviewer = {Etsushi Nakaguchi},
doi = {10.1016/j.jde.2015.07.019},
url = {https://doi.org/10.1016/j.jde.2015.07.019}
}
@Article{ tao.winkler:17:critical,
author = {Tao, Youshan and Winkler, Michael},
title = {Critical mass for infinite-time aggregation in a
chemotaxis model with indirect signal production},
journal = {J. Eur. Math. Soc. (JEMS)},
fjournal = {Journal of the European Mathematical Society (JEMS)},
volume = {19},
year = {2017},
number = {12},
pages = {3641--3678},
issn = {1435-9855,1435-9863},
mrclass = {35Q92 (35A09 35B44 35B51 35K59 35M33 92C17)},
mrnumber = {3730510},
mrreviewer = {Christian\ Stinner},
doi = {10.4171/JEMS/749},
url = {https://doi.org/10.4171/JEMS/749}
}
@Article{ tao.winkler:17:effects,
author = {Tao, Youshan and Winkler, Michael},
title = {Effects of signal-dependent motilities in a
{K}eller-{S}egel-type reaction-diffusion system},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {27},
year = {2017},
number = {9},
pages = {1645--1683},
issn = {0218-2025},
mrclass = {35K51 (35A01 35B40 35B65 35K59 35Q92 92C17)},
mrnumber = {3669835},
mrreviewer = {Si Ning Zheng},
doi = {10.1142/S0218202517500282},
url = {https://doi.org/10.1142/S0218202517500282}
}
@Article{ tao.winkler:19:global,
author = {Tao, Youshan and Winkler, Michael},
title = {Global smooth solvability of a parabolic-elliptic nutrient
taxis system in domains of arbitrary dimension},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {267},
year = {2019},
number = {1},
pages = {388--406},
issn = {0022-0396},
mrclass = {35M33 (35B40 35K51 35Q92 92C17)},
mrnumber = {3944275},
mrreviewer = {Doron Levy},
doi = {10.1016/j.jde.2019.01.014},
url = {https://doi.org/10.1016/j.jde.2019.01.014}
}
@Article{ tao.zhou.ea:19:boundedness,
author = {Tao, Xueyan and Zhou, Shulin and Ding, Mengyao},
title = {Boundedness of solutions to a quasilinear
parabolic-parabolic chemotaxis model with nonlinear signal
production},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {474},
year = {2019},
number = {1},
pages = {733--747},
issn = {0022-247X},
mrclass = {35K51 (35B45 35Q92 92C17)},
mrnumber = {3912925},
doi = {10.1016/j.jmaa.2019.01.076},
url = {https://doi.org/10.1016/j.jmaa.2019.01.076}
}
@Book{ tao:06:nonlinear,
author = {Tao, Terence},
title = {Nonlinear dispersive equations},
series = {CBMS Regional Conference Series in Mathematics},
volume = {106},
note = {Local and global analysis},
publisher = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC; by the American Mathematical
Society, Providence, RI},
year = {2006},
pages = {xvi+373},
isbn = {0-8218-4143-2},
mrclass = {35Q53 (35B35 35P25 35Q55 37K10)},
mrnumber = {2233925},
mrreviewer = {Sebastian Herr},
doi = {10.1090/cbms/106},
url = {https://doi.org/10.1090/cbms/106}
}
@Book{ tao:12:topics,
title = {Topics in Random Matrix Theory},
author = {Tao, Terence},
year = {2012},
publisher = {American Mathematical Society}
}
@Article{ tao:16:finite,
author = {Tao, Terence},
title = {Finite time blowup for an averaged three-dimensional
{N}avier-{S}tokes equation},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {29},
year = {2016},
number = {3},
pages = {601--674},
issn = {0894-0347},
mrclass = {35Q30 (35B44)},
mrnumber = {3486169},
mrreviewer = {Lorenzo Brandolese},
doi = {10.1090/jams/838},
url = {https://doi.org/10.1090/jams/838}
}
@Article{ tao:24:gaussian,
author = {Tao, Ran},
title = {Gaussian fluctuations of a nonlinear stochastic heat
equation in dimension two},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {12},
year = {2024},
number = {1},
pages = {220--246},
issn = {2194-0401},
mrclass = {60H15 (35K05 35R60 60F05 60H07)},
mrnumber = {4709542},
doi = {10.1007/s40072-022-00282-6},
url = {https://doi.org/10.1007/s40072-022-00282-6}
}
@Article{ tao:85:analyticity,
author = {Tao, L. N.},
title = {The analyticity of solutions of the heat equation with
nonlinear boundary conditions},
journal = {Quart. J. Mech. Appl. Math.},
fjournal = {The Quarterly Journal of Mechanics and Applied
Mathematics},
volume = {38},
year = {1985},
number = {3},
pages = {447--459},
issn = {0033-5614},
mrclass = {35K05 (35C10 80A20)},
mrnumber = {800774},
mrreviewer = {B. R. Bhonsle},
doi = {10.1093/qjmam/38.3.447},
url = {https://doi.org/10.1093/qjmam/38.3.447}
}
@Article{ tapia.zambotti:20:geometry,
author = {Tapia, Nikolas and Zambotti, Lorenzo},
title = {The geometry of the space of branched rough paths},
journal = {Proc. Lond. Math. Soc. (3)},
fjournal = {Proceedings of the London Mathematical Society. Third
Series},
volume = {121},
year = {2020},
number = {2},
pages = {220--251},
issn = {0024-6115,1460-244X},
mrclass = {60L20 (16T05 60H10 60L30)},
mrnumber = {4093955},
mrreviewer = {Keisuke\ Hara},
doi = {10.1112/plms.12311},
url = {https://doi.org/10.1112/plms.12311}
}
@Article{ taqqu:79:convergence,
author = {Taqqu, Murad S.},
title = {Convergence of integrated processes of arbitrary {H}ermite
rank},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {50},
year = {1979},
number = {1},
pages = {53--83},
issn = {0044-3719},
mrclass = {60F05 (60G15 60K35)},
mrnumber = {550123},
mrreviewer = {B. S. Nahapetian},
doi = {10.1007/BF00535674},
url = {https://doi.org/10.1007/BF00535674}
}
@Article{ tartar:72:interpolation,
author = {Tartar, L.},
title = {Interpolation non lin\'{e}aire et r\'{e}gularit\'{e}},
journal = {J. Functional Analysis},
volume = {9},
year = {1972},
pages = {469--489},
mrclass = {46E35},
mrnumber = {0310619},
mrreviewer = {C. Goulaouic},
doi = {10.1016/0022-1236(72)90022-5},
url = {https://doi.org/10.1016/0022-1236(72)90022-5}
}
@Article{ taylor.mitrea.ea:05:lipschitz,
author = {Taylor, Michael and Mitrea, Marius and Vasy, Andr\'{a}s},
title = {Lipschitz domains, domains with corners, and the {H}odge
{L}aplacian},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {30},
year = {2005},
number = {10-12},
pages = {1445--1462},
issn = {0360-5302},
mrclass = {58J32 (31C12 35B65 35J25 42B20)},
mrnumber = {2182300},
mrreviewer = {Elena A. Mazepa},
doi = {10.1080/03605300500299547},
url = {https://doi.org/10.1080/03605300500299547}
}
@Article{ taylor:61:on,
author = {Taylor, S. J.},
title = {On the connexion between {H}ausdorff measures and
generalized capacity},
journal = {Proc. Cambridge Philos. Soc.},
fjournal = {Proceedings of the Cambridge Philosophical Society},
volume = {57},
year = {1961},
pages = {524--531},
issn = {0008-1981},
mrclass = {28.80},
mrnumber = {133420},
mrreviewer = {F. W. Gehring},
doi = {10.1017/s0305004100035581},
url = {https://doi.org/10.1017/s0305004100035581}
}
@Book{ taylor:96:partial,
author = {Taylor, Michael E.},
title = {Partial differential equations. {II}},
series = {Applied Mathematical Sciences},
volume = {116},
note = {Qualitative studies of linear equations},
publisher = {Springer-Verlag, New York},
year = {1996},
pages = {xxii+528},
isbn = {0-387-94651-9},
mrclass = {35-01 (46N20 47N20 58Gxx)},
mrnumber = {1395149},
mrreviewer = {Luigi Rodino},
doi = {10.1007/978-1-4757-4187-2},
url = {https://doi.org/10.1007/978-1-4757-4187-2}
}
@Article{ teichmann:11:another,
author = {Teichmann, Josef},
title = {Another approach to some rough and stochastic partial
differential equations},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {11},
year = {2011},
number = {2-3},
pages = {535--550},
issn = {0219-4937},
mrclass = {35R60 (60H15)},
mrnumber = {2836540},
mrreviewer = {Nikolaos Halidias},
doi = {10.1142/S0219493711003437},
url = {https://doi.org/10.1142/S0219493711003437}
}
@Article{ telatar:99:capacity,
author = {Telatar, Emre},
title = {Capacity of multi-antenna {G}aussian channels},
journal = {Eur. Trans. Telecommun.},
fjournal = {European Transactions on Telecommunications},
volume = {10},
year = {1999},
number = {6},
pages = {585--595},
issn = {1124-318X},
mrclass = {94A12 (94A05)},
mrnumber = {2436654},
doi = {10.1002/ett.4460100604},
url = {https://doi.org/10.1002/ett.4460100604}
}
@Article{ tello.winkler:07:chemotaxis,
author = {Tello, J. Ignacio and Winkler, Michael},
title = {A chemotaxis system with logistic source},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {32},
year = {2007},
number = {4-6},
pages = {849--877},
issn = {0360-5302},
mrclass = {92C17 (35K57)},
mrnumber = {2334836},
doi = {10.1080/03605300701319003},
url = {https://doi.org/10.1080/03605300701319003}
}
@Article{ tello:04:mathematical,
author = {Tello, J. Ignacio},
title = {Mathematical analysis and stability of a chemotaxis model
with logistic term},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {27},
year = {2004},
number = {16},
pages = {1865--1880},
issn = {0170-4214},
mrclass = {35K57 (35B35 35Q80 92C17)},
mrnumber = {2092826},
mrreviewer = {Dirk Horstmann},
doi = {10.1002/mma.528},
url = {https://doi.org/10.1002/mma.528}
}
@Article{ temam:69:sur,
author = {Temam, R.},
title = {Sur un probl\`eme non lin\'{e}aire},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {48},
year = {1969},
pages = {159--172},
issn = {0021-7824},
mrclass = {35.79},
mrnumber = {261183},
mrreviewer = {G. Prodi}
}
@Book{ temam:79:navier-stokes,
author = {Temam, Roger},
title = {Navier-{S}tokes equations},
series = {Studies in Mathematics and its Applications},
volume = {2},
edition = {Revised},
note = {Theory and numerical analysis, With an appendix by F.
Thomasset},
publisher = {North-Holland Publishing Co., Amsterdam-New York},
year = {1979},
pages = {x+519},
isbn = {0-444-85307-3},
mrclass = {35Q10 (49D99 65P05 76D05)},
mrnumber = {603444}
}
@InCollection{ temme:10:error,
author = {Temme, N. M.},
title = {Error functions, {D}awson's and {F}resnel integrals},
booktitle = {N{IST} handbook of mathematical functions},
pages = {159--171},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33B20 (65D20)},
mrnumber = {2655347}
}
@InCollection{ temme:10:exponential,
author = {Temme, N. M.},
title = {Exponential, logarithmic, sine, and cosine integrals},
booktitle = {N{IST} handbook of mathematical functions},
pages = {149--157},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33E20},
mrnumber = {2655346}
}
@InCollection{ temme:10:numerical,
author = {Temme, N. M.},
title = {Numerical methods},
booktitle = {N{IST} handbook of mathematical functions},
pages = {71--101},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33F05 (65-01)},
mrnumber = {2655343}
}
@InCollection{ temme:10:parabolic,
author = {Temme, N. M.},
title = {Parabolic cylinder functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {303--319},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33C15},
mrnumber = {2655352}
}
@Article{ temple.tracy:92:from,
author = {Temple, Blake and Tracy, Craig A.},
title = {From {N}ewton to {E}instein},
journal = {Amer. Math. Monthly},
fjournal = {American Mathematical Monthly},
volume = {99},
year = {1992},
number = {6},
pages = {507--521},
issn = {0002-9890},
mrclass = {01A05 (70D05 83-03)},
mrnumber = {1166000},
mrreviewer = {H. Treder},
doi = {10.2307/2324058},
url = {https://doi.org/10.2307/2324058}
}
@Book{ tenenbaum:15:introduction,
author = {Tenenbaum, G\'{e}rald},
title = {Introduction to analytic and probabilistic number theory},
series = {Graduate Studies in Mathematics},
volume = {163},
edition = {Third},
note = {Translated from the 2008 French edition by Patrick D. F.
Ion},
publisher = {American Mathematical Society, Providence, RI},
year = {2015},
pages = {xxiv+629},
isbn = {978-0-8218-9854-3},
mrclass = {11-02 (11Kxx 11Mxx 11Nxx)},
mrnumber = {3363366},
doi = {10.1090/gsm/163},
url = {https://doi.org/10.1090/gsm/163}
}
@Book{ teschl:14:mathematical,
author = {Teschl, Gerald},
title = {Mathematical methods in quantum mechanics},
series = {Graduate Studies in Mathematics},
volume = {157},
edition = {Second},
note = {With applications to Schr\"{o}dinger operators},
publisher = {American Mathematical Society, Providence, RI},
year = {2014},
pages = {xiv+358},
isbn = {978-1-4704-1704-8},
mrclass = {81-02 (47N50 81Q10 81Q12 81U10)},
mrnumber = {3243083},
mrreviewer = {Rupert L. Frank},
doi = {10.1090/gsm/157},
url = {https://doi.org/10.1090/gsm/157}
}
@Article{ tessitore.zabczyk:01:trotters,
author = {Tessitore, G. and Zabczyk, J.},
title = {Trotter's formula for transition semigroups},
journal = {Semigroup Forum},
fjournal = {Semigroup Forum},
volume = {63},
year = {2001},
number = {2},
pages = {114--126},
issn = {0037-1912},
mrclass = {60J35 (47D06 60H15)},
mrnumber = {1830678},
mrreviewer = {Sandra Cerrai},
doi = {10.1007/s002330010047},
url = {https://doi.org/10.1007/s002330010047}
}
@InCollection{ tessitore.zabczyk:02:pricing,
author = {Tessitore, Gianmario and Zabczyk, Jerzy},
title = {Pricing options for {M}arkovian models},
booktitle = {Stochastic processes and related topics ({S}iegmundsburg,
2000)},
series = {Stochastics Monogr.},
volume = {12},
pages = {249--268},
publisher = {Taylor \& Francis, London},
year = {2002},
mrclass = {91B28 (60G40 60G42)},
mrnumber = {1987320}
}
@Article{ tessitore.zabczyk:06:wong-zakai,
author = {Tessitore, Gianmario and Zabczyk, Jerzy},
title = {Wong-{Z}akai approximations of stochastic evolution
equations},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {6},
year = {2006},
number = {4},
pages = {621--655},
issn = {1424-3199},
mrclass = {60H35 (47D06 47N30 60H10)},
mrnumber = {2267702},
mrreviewer = {Nicholas Frangos},
doi = {10.1007/s00028-006-0280-9},
url = {https://doi.org/10.1007/s00028-006-0280-9}
}
@Article{ tessitore.zabczyk:96:pricing,
author = {Tessitore, Gianmario and Zabczyk, Jerzy},
title = {Pricing options for multinomial models},
journal = {Bull. Polish Acad. Sci. Math.},
fjournal = {Polish Academy of Sciences. Bulletin. Mathematics},
volume = {44},
year = {1996},
number = {3},
pages = {363--380},
issn = {0239-7269},
mrclass = {90A09},
mrnumber = {1419409}
}
@Article{ tessitore.zabczyk:98:invariant,
author = {Tessitore, Gianmario and Zabczyk, Jerzy},
title = {Invariant measures for stochastic heat equations},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {18},
year = {1998},
number = {2, Acta Univ. Wratislav. No. 2111},
pages = {271--287},
issn = {0208-4147},
mrclass = {60H15 (35K05 35R60)},
mrnumber = {1671596},
mrreviewer = {Giambattista Giacomin}
}
@Article{ tessitore.zabczyk:98:strict,
author = {Tessitore, Gianmario and Zabczyk, Jerzy},
title = {Strict positivity for stochastic heat equations},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {77},
year = {1998},
number = {1},
pages = {83--98},
issn = {0304-4149},
mrclass = {60H15},
mrnumber = {1644618},
mrreviewer = {Ralf Manthey},
doi = {10.1016/S0304-4149(98)00024-6},
url = {https://doi.org/10.1016/S0304-4149(98)00024-6}
}
@Article{ thomann.tzvetkov:10:gibbs,
author = {Thomann, Laurent and Tzvetkov, Nikolay},
title = {Gibbs measure for the periodic derivative nonlinear
{S}chr\"{o}dinger equation},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {23},
year = {2010},
number = {11},
pages = {2771--2791},
issn = {0951-7715},
mrclass = {35Q55 (35B10 37K05 37L50)},
mrnumber = {2727169},
mrreviewer = {Luiz Gustavo Farah},
doi = {10.1088/0951-7715/23/11/003},
url = {https://doi.org/10.1088/0951-7715/23/11/003}
}
@Book{ thomee:06:galerkin,
author = {Thom\'{e}e, Vidar},
title = {Galerkin finite element methods for parabolic problems},
series = {Springer Series in Computational Mathematics},
volume = {25},
edition = {Second},
publisher = {Springer-Verlag, Berlin},
year = {2006},
pages = {xii+370},
isbn = {978-3-540-33121-6; 3-540-33121-2},
mrclass = {65-02 (65M15 65M60)},
mrnumber = {2249024}
}
@InCollection{ thompson:10:coulomb,
author = {Thompson, I. J.},
title = {Coulomb functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {741--756},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33E20},
mrnumber = {2655373}
}
@Book{ thompson:79:mathematical,
author = {Thompson, Colin J.},
title = {Mathematical statistical mechanics},
note = {Reprinting of the 1972 original},
publisher = {Princeton University Press, Princeton, N.J.},
year = {1979},
pages = {x+278},
isbn = {0-691-08219-7; 0-691-08220-0},
mrclass = {82-01},
mrnumber = {548873}
}
@Article{ thomson:87:xxxiv,
author = {William Thomson},
title = {XXXIV. Stability of motion (continued from the May, June,
and August Numbers).--Broad river flowing down an inclined
plane bed},
journal = {The London, Edinburgh, and Dublin Philosophical Magazine
and Journal of Science},
volume = {24},
number = {148},
pages = {272--278},
year = {1887},
publisher = {Taylor \& Francis},
doi = {10.1080/14786448708628094},
url = {https://doi.org/10.1080/14786448708628094},
eprint = {https://doi.org/10.1080/14786448708628094}
}
@Article{ thouless:10:anderson,
title = {Anderson localization in the seventies and beyond},
author = {Thouless, David},
journal = {Int. J. Mod. Phys. B},
fjournal = {International Journal of Modern Physics B},
volume = {24},
number = {12n13},
pages = {1507--1525},
year = {2010},
publisher = {World Scientific}
}
@Article{ tihonov:52:systems,
author = {Tihonov, A. N.},
title = {Systems of differential equations containing small
parameters in the derivatives},
journal = {Mat. Sbornik N.S.},
fjournal = {Mat. Sbornik N.S.},
volume = {31(73)},
year = {1952},
pages = {575--586},
mrclass = {36.0X},
mrnumber = {55515},
mrreviewer = {J. L. Massera}
}
@Article{ tindel.chouk:15:skorohod,
author = {Tindel, Samy and Chouk, Khalil},
title = {Skorohod and {S}tratonovich integration in the plane},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {20},
year = {2015},
pages = {no. 39, 39},
mrclass = {60H05 (60G05 60G60 60H07)},
mrnumber = {3335830},
mrreviewer = {Llu\'{i}s Quer-Sardanyons},
doi = {10.1214/ejp.v20-3041},
url = {https://doi.org/10.1214/ejp.v20-3041}
}
@Article{ tindel.liu.ea:21:on,
author = {Tindel, Samy and Liu, Yanghui and Lin, Guang},
title = {On the anticipative nonlinear filtering problem and its
stability},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {84},
year = {2021},
number = {1},
pages = {399--423},
issn = {0095-4616},
mrclass = {93E11 (45F05 60G35 94A12)},
mrnumber = {4283932},
mrreviewer = {Gennady Y. Kulikov},
doi = {10.1007/s00245-019-09649-z},
url = {https://doi.org/10.1007/s00245-019-09649-z}
}
@InCollection{ tindel.torrecilla:12:some,
author = {Tindel, Samy and Torrecilla, Iv\'{a}n},
title = {Some differential systems driven by a f{B}m with {H}urst
parameter greater than 1/4},
booktitle = {Stochastic analysis and related topics},
series = {Springer Proc. Math. Stat.},
volume = {22},
pages = {169--202},
publisher = {Springer, Heidelberg},
year = {2012},
mrclass = {60H05 (60G15 60G22 60H07)},
mrnumber = {3236092},
doi = {10.1007/978-3-642-29982-7\_8},
url = {https://doi.org/10.1007/978-3-642-29982-7_8}
}
@Article{ tindel.tudor.ea:03:stochastic,
author = {Tindel, S. and Tudor, C. A. and Viens, F.},
title = {Stochastic evolution equations with fractional {B}rownian
motion},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {127},
year = {2003},
number = {2},
pages = {186--204},
issn = {0178-8051},
mrclass = {60H15 (60G15)},
mrnumber = {2013981},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1007/s00440-003-0282-2},
url = {https://doi.org/10.1007/s00440-003-0282-2}
}
@Article{ tindel.tudor.ea:04:sharp,
author = {Tindel, S. and Tudor, C. A. and Viens, F.},
title = {Sharp {G}aussian regularity on the circle, and
applications to the fractional stochastic heat equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {217},
year = {2004},
number = {2},
pages = {280--313},
issn = {0022-1236},
mrclass = {60G15 (42A16 60G17 60H15)},
mrnumber = {2102569},
mrreviewer = {Ali S\"{u}leyman \"{U}st\"{u}nel},
doi = {10.1016/j.jfa.2003.12.002},
url = {https://doi.org/10.1016/j.jfa.2003.12.002}
}
@Article{ tindel.unterberger:11:rough,
author = {Tindel, Samy and Unterberger, J\'{e}r\'{e}mie},
title = {The rough path associated to the multidimensional analytic
f{B}m with any {H}urst parameter},
journal = {Collect. Math.},
fjournal = {Collectanea Mathematica},
volume = {62},
year = {2011},
number = {2},
pages = {197--223},
issn = {0010-0757},
mrclass = {60H05 (60G17 60G22 60H10)},
mrnumber = {2792522},
mrreviewer = {Hendrik Weber},
doi = {10.1007/s13348-010-0021-9},
url = {https://doi.org/10.1007/s13348-010-0021-9}
}
@Article{ tindel.viens:02:almost,
author = {Tindel, Samy and Viens, Frederi},
title = {Almost sure exponential behaviour for a parabolic {SPDE}
on a manifold},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {100},
year = {2002},
pages = {53--74},
issn = {0304-4149},
mrclass = {60H15 (58J65)},
mrnumber = {1919608},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka},
doi = {10.1016/S0304-4149(02)00102-3},
url = {https://doi.org/10.1016/S0304-4149(02)00102-3}
}
@InCollection{ tindel.viens:02:regularity,
author = {Tindel, S. and Viens, F.},
title = {Regularity conditions for parabolic {SPDE}s on {L}ie
groups},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications, {III} ({A}scona, 1999)},
series = {Progr. Probab.},
volume = {52},
pages = {269--291},
publisher = {Birkh\"{a}user, Basel},
year = {2002},
mrclass = {60H15 (22E30 35A30 35R60)},
mrnumber = {1958823},
mrreviewer = {Sandra Cerrai}
}
@Article{ tindel.viens:04:convergence,
author = {Tindel, Samy and Viens, Frederi},
title = {Convergence of a branching and interacting particle system
to the solution of a nonlinear stochastic {PDE}},
journal = {Random Oper. Stochastic Equations},
fjournal = {Random Operators and Stochastic Equations},
volume = {12},
year = {2004},
number = {2},
pages = {129--144},
issn = {0926-6364},
mrclass = {60K35 (60H15)},
mrnumber = {2065167},
mrreviewer = {Maria E. Vares},
doi = {10.1163/156939704323074692},
url = {https://doi.org/10.1163/156939704323074692}
}
@Article{ tindel.viens:05:relating,
author = {Tindel, Samy and Viens, Frederi},
title = {Relating the almost-sure {L}yapunov exponent of a
parabolic {SPDE} and its coefficients' spatial regularity},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {22},
year = {2005},
number = {2},
pages = {101--125},
issn = {0926-2601},
mrclass = {60H15 (60G15)},
mrnumber = {2137056},
mrreviewer = {Hisao Watanabe},
doi = {10.1007/s11118-004-0576-8},
url = {https://doi.org/10.1007/s11118-004-0576-8}
}
@Article{ tindel.viens:99:on,
author = {Tindel, Samy and Viens, Frederi},
title = {On space-time regularity for the stochastic heat equation
on {L}ie groups},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {169},
year = {1999},
number = {2},
pages = {559--603},
issn = {0022-1236},
mrclass = {58J65 (22E30 35R60 60H15)},
mrnumber = {1730556},
mrreviewer = {Habib Ouerdiane},
doi = {10.1006/jfan.1999.3486},
url = {https://doi.org/10.1006/jfan.1999.3486}
}
@Article{ tindel:00:spdes,
author = {Tindel, S.},
title = {S{PDE}s with pseudodifferential generators: the existence
of a density},
journal = {Appl. Math. (Warsaw)},
fjournal = {Applicationes Mathematicae},
volume = {27},
year = {2000},
number = {3},
pages = {287--308},
issn = {1233-7234},
mrclass = {60H07 (60H15)},
mrnumber = {1783784},
mrreviewer = {George Stoica},
doi = {10.4064/am-27-3-287-308},
url = {https://doi.org/10.4064/am-27-3-287-308}
}
@Article{ tindel:02:on,
author = {Tindel, Samy},
title = {On forward stochastic integrals over the loop space},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {20},
year = {2002},
number = {1},
pages = {221--241},
issn = {0736-2994},
mrclass = {58J65 (60H05)},
mrnumber = {1891486},
mrreviewer = {Anne Estrade},
doi = {10.1081/SAP-120002429},
url = {https://doi.org/10.1081/SAP-120002429}
}
@Article{ tindel:03:quenched,
author = {Tindel, Samy},
title = {Quenched large deviation principle for the overlap of a
{$p$}-spins system},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {110},
year = {2003},
number = {1-2},
pages = {51--72},
issn = {0022-4715},
mrclass = {82B20 (60F10 82B44)},
mrnumber = {1966323},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1023/A:1021062510565},
url = {https://doi.org/10.1023/A:1021062510565}
}
@Article{ tindel:05:on,
author = {Tindel, Samy},
title = {On the stochastic calculus method for spins systems},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {33},
year = {2005},
number = {2},
pages = {561--581},
issn = {0091-1798},
mrclass = {60G15 (60H10)},
mrnumber = {2123201},
mrreviewer = {Ingo Fahrner},
doi = {10.1214/009117904000000919},
url = {https://doi.org/10.1214/009117904000000919}
}
@InCollection{ tindel:09:on,
author = {Tindel, Samy},
title = {On fractional diffusion processes},
booktitle = {Journ\'{e}es \'{E}lie {C}artan 2006, 2007 et 2008},
series = {Inst. \'{E}lie Cartan},
volume = {19},
pages = {219--232},
publisher = {Univ. Nancy, Nancy},
year = {2009},
mrclass = {60H05 (60G17 60G22 60H07 60J60)},
mrnumber = {2792043},
mrreviewer = {Ciprian A. Tudor}
}
@InCollection{ tindel:96:diffusion,
author = {Tindel, Samy},
title = {Diffusion approximation for elliptic stochastic
differential equations},
booktitle = {Stochastic analysis and related topics, {V} ({S}ilivri,
1994)},
series = {Progr. Probab.},
volume = {38},
pages = {255--268},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {1996},
mrclass = {60H15 (35R60)},
mrnumber = {1396335},
mrreviewer = {Fred Espen Benth}
}
@Article{ tindel:97:stochastic,
author = {Tindel, Samy},
title = {Stochastic parabolic equations with anticipative initial
condition},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {62},
year = {1997},
number = {1-2},
pages = {1--20},
issn = {1045-1129},
mrclass = {60H15 (60H07)},
mrnumber = {1489179},
doi = {10.1080/17442509708834125},
url = {https://doi.org/10.1080/17442509708834125}
}
@Article{ tindel:98:quasilinear,
author = {Tindel, Samy},
title = {Quasilinear stochastic elliptic equations with reflection:
the existence of a density},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {4},
year = {1998},
number = {4},
pages = {445--459},
issn = {1350-7265},
mrclass = {60H15 (60H07)},
mrnumber = {1679792},
mrreviewer = {Fred Espen Benth},
doi = {10.2307/3318660},
url = {https://doi.org/10.2307/3318660}
}
@Book{ titchmarsh:58:theory,
author = {Titchmarsh, E. C.},
title = {The theory of functions},
note = {Reprint of the second (1939) edition},
publisher = {Oxford University Press, Oxford},
year = {1958},
pages = {x+454},
mrclass = {30-01 (26-01 28-01)},
mrnumber = {3155290}
}
@Book{ titchmarsh:86:theory,
author = {Titchmarsh, E. C.},
title = {The theory of the {R}iemann zeta-function},
edition = {Second},
note = {Edited and with a preface by D. R. Heath-Brown},
publisher = {The Clarendon Press, Oxford University Press, New York},
year = {1986},
pages = {x+412},
isbn = {0-19-853369-1},
mrclass = {11M06},
mrnumber = {882550},
mrreviewer = {Matti Jutila}
}
@Article{ tkocz.smaczynski.ea:12:tensor,
author = {Tkocz, Tomasz and Smaczy\'{n}ski, Marek and Ku\'{s}, Marek
and Zeitouni, Ofer and \.{Z}yczkowski, Karol},
title = {Tensor products of random unitary matrices},
journal = {Random Matrices Theory Appl.},
fjournal = {Random Matrices. Theory and Applications},
volume = {1},
year = {2012},
number = {4},
pages = {1250009, 26},
issn = {2010-3263,2010-3271},
mrclass = {60B20 (15B52)},
mrnumber = {3039370},
mrreviewer = {Sasha\ Sodin},
doi = {10.1142/S2010326312500098},
url = {https://doi.org/10.1142/S2010326312500098}
}
@Article{ todorov.tauchen:06:simulation,
author = {Todorov, Viktor and Tauchen, George},
title = {Simulation methods for {L}\'{e}vy-driven continuous-time
autoregressive moving average ({CARMA}) stochastic
volatility models},
journal = {J. Bus. Econom. Statist.},
fjournal = {Journal of Business \& Economic Statistics},
volume = {24},
year = {2006},
number = {4},
pages = {455--469},
issn = {0735-0015},
mrclass = {Expansion},
mrnumber = {2328465},
doi = {10.1198/073500106000000260},
url = {https://doi.org/10.1198/073500106000000260}
}
@Article{ toivonen.onelli.ea:18:anomalous-diffusion-assisted,
title = {Anomalous-Diffusion-Assisted Brightness in White Cellulose
Nanofibril Membranes},
volume = {30},
issn = {1521-4095},
url = {http://dx.doi.org/10.1002/adma.201704050},
doi = {10.1002/adma.201704050},
number = {16},
journal = {Advanced Materials},
publisher = {Wiley},
author = {Toivonen, Matti S. and Onelli, Olimpia D. and Jacucci,
Gianni and Lovikka, Ville and Rojas, Orlando J. and Ikkala,
Olli and Vignolini, Silvia},
year = {2018},
month = {Mar}
}
@Article{ tolle:20:stochastic,
author = {T\"{o}lle, Jonas M.},
title = {Stochastic evolution equations with singular drift and
gradient noise via curvature and commutation conditions},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {130},
year = {2020},
number = {5},
pages = {3220--3248},
issn = {0304-4149,1879-209X},
mrclass = {35R60 (35B30 35K55 35K92 35R70 49J40 58J65 60H15)},
mrnumber = {4080744},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.spa.2019.09.011},
url = {https://doi.org/10.1016/j.spa.2019.09.011}
}
@Article{ tolomeo:20:unique,
author = {Tolomeo, Leonardo},
title = {Unique ergodicity for a class of stochastic hyperbolic
equations with additive space-time white noise},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {377},
year = {2020},
number = {2},
pages = {1311--1347},
issn = {0010-3616},
mrclass = {58J51 (35R11 35R60 60H15)},
mrnumber = {4115018},
mrreviewer = {Renhai Wang},
doi = {10.1007/s00220-020-03752-x},
url = {https://doi.org/10.1007/s00220-020-03752-x}
}
@Article{ tolomeo:21:global,
author = {Tolomeo, Leonardo},
title = {Global well posedness of the two-dimensional stochastic
nonlinear wave equation on an unbounded domain},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {49},
year = {2021},
number = {3},
pages = {1402--1426},
issn = {0091-1798},
mrclass = {60H15},
mrnumber = {4255148},
mrreviewer = {Milica \v{Z}igi\'{c}},
doi = {10.1214/20-aop1484},
url = {https://doi.org/10.1214/20-aop1484}
}
@Article{ toninelli:08:replica-coupling,
author = {Toninelli, Fabio Lucio},
title = {A replica-coupling approach to disordered pinning models},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {280},
year = {2008},
number = {2},
pages = {389--401},
issn = {0010-3616},
mrclass = {82B44 (60K05 82B27)},
mrnumber = {2395475},
mrreviewer = {Agnieszka Jurlewicz},
doi = {10.1007/s00220-008-0469-6},
url = {https://doi.org/10.1007/s00220-008-0469-6}
}
@Article{ topaz.bertozzi.ea:06:nonlocal,
author = {Topaz, Chad M. and Bertozzi, Andrea L. and Lewis, Mark
A.},
title = {A nonlocal continuum model for biological aggregation},
journal = {Bull. Math. Biol.},
fjournal = {Bulletin of Mathematical Biology. A Journal Devoted to
Research at the Interface of the Life and Mathematical
Sciences},
volume = {68},
year = {2006},
number = {7},
pages = {1601--1623},
issn = {0092-8240},
mrclass = {92D50 (34K30 37N25 45K05 92C15)},
mrnumber = {2257718},
doi = {10.1007/s11538-006-9088-6},
url = {https://doi.org/10.1007/s11538-006-9088-6}
}
@Article{ topaz.bertozzi:04:swarming,
author = {Topaz, Chad M. and Bertozzi, Andrea L.},
title = {Swarming patterns in a two-dimensional kinematic model for
biological groups},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {65},
year = {2004},
number = {1},
pages = {152--174},
issn = {0036-1399},
mrclass = {92D50 (35K57 76Z10)},
mrnumber = {2111591},
doi = {10.1137/S0036139903437424},
url = {https://doi.org/10.1137/S0036139903437424}
}
@Article{ torres.tudor.ea:14:quadratic,
author = {Torres, Soledad and Tudor, Ciprian A. and Viens, Frederi
G.},
title = {Quadratic variations for the fractional-colored stochastic
heat equation},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
pages = {no. 76, 51},
issn = {1083-6489},
mrclass = {60H15 (60G18)},
mrnumber = {3256876},
mrreviewer = {No\`elia\ Viles},
doi = {10.1214/EJP.v19-2698},
url = {https://doi.org/10.1214/EJP.v19-2698}
}
@Article{ torres.tudor:09:donsker,
author = {Torres, Soledad and Tudor, Ciprian A.},
title = {Donsker type theorem for the {R}osenblatt process and a
binary market model},
journal = {Stoch. Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {27},
year = {2009},
number = {3},
pages = {555--573},
issn = {0736-2994,1532-9356},
mrclass = {60F17 (60G18 91B70)},
mrnumber = {2523182},
mrreviewer = {Ivan\ Nourdin},
doi = {10.1080/07362990902844371},
url = {https://doi.org/10.1080/07362990902844371}
}
@Article{ toscani:00:one-dimensional,
author = {Toscani, Giuseppe},
title = {One-dimensional kinetic models of granular flows},
journal = {M2AN Math. Model. Numer. Anal.},
fjournal = {M2AN. Mathematical Modelling and Numerical Analysis},
volume = {34},
year = {2000},
number = {6},
pages = {1277--1291},
issn = {0764-583X},
mrclass = {82C40 (76P05)},
mrnumber = {1812737},
mrreviewer = {Christian Dogbe},
doi = {10.1051/m2an:2000127},
url = {https://doi.org/10.1051/m2an:2000127}
}
@Article{ tracy.grove.ea:87:modular,
author = {Tracy, Craig A. and Grove, Larry and Newman, M. F.},
title = {Modular properties of the hard hexagon model},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {48},
year = {1987},
number = {3-4},
pages = {477--502},
issn = {0022-4715},
mrclass = {82A68 (82A69)},
mrnumber = {914893},
mrreviewer = {Peter J. Forrester},
doi = {10.1007/BF01019683},
url = {https://doi.org/10.1007/BF01019683}
}
@InCollection{ tracy.widom:00:distribution,
author = {Tracy, Craig A. and Widom, Harold},
title = {The distribution of the largest eigenvalue in the
{G}aussian ensembles: {$\beta=1,2,4$}},
booktitle = {Calogero-{M}oser-{S}utherland models ({M}ontr\'{e}al,
{QC}, 1997)},
series = {CRM Ser. Math. Phys.},
pages = {461--472},
publisher = {Springer, New York},
year = {2000},
mrclass = {82B41 (15A52 60F99)},
mrnumber = {1844228},
mrreviewer = {Oleksiy Khorunzhiy}
}
@InCollection{ tracy.widom:00:universality,
author = {Tracy, Craig A. and Widom, Harold},
title = {Universality of the distribution functions of random
matrix theory},
booktitle = {Integrable systems: from classical to quantum
({M}ontr\'{e}al, {QC}, 1999)},
series = {CRM Proc. Lecture Notes},
volume = {26},
pages = {251--264},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2000},
mrclass = {15A52 (34M55 47B99 60G55 60G70 82B44)},
mrnumber = {1791893},
mrreviewer = {Boris A. Khoruzhenko},
doi = {10.1090/crmp/026/12},
url = {https://doi.org/10.1090/crmp/026/12}
}
@Article{ tracy.widom:01:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On the distributions of the lengths of the longest
monotone subsequences in random words},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {119},
year = {2001},
number = {3},
pages = {350--380},
issn = {0178-8051},
mrclass = {60C05 (05A15 68R05)},
mrnumber = {1821139},
mrreviewer = {David J. Aldous},
doi = {10.1007/PL00008763},
url = {https://doi.org/10.1007/PL00008763}
}
@InCollection{ tracy.widom:02:airy,
author = {Tracy, Craig A. and Widom, Harold},
title = {Airy kernel and {P}ainlev\'{e} {II}},
booktitle = {Isomonodromic deformations and applications in physics
({M}ontr\'{e}al, {QC}, 2000)},
series = {CRM Proc. Lecture Notes},
volume = {31},
pages = {85--96},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2002},
mrclass = {82B41 (15A52 33E17 34M55 60K35 82-02)},
mrnumber = {1887350},
doi = {10.1090/crmp/031/07},
url = {https://doi.org/10.1090/crmp/031/07}
}
@InProceedings{ tracy.widom:02:distribution,
author = {Tracy, Craig A. and Widom, Harold},
title = {Distribution functions for largest eigenvalues and their
applications},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians, {V}ol. {I} ({B}eijing, 2002)},
pages = {587--596},
publisher = {Higher Ed. Press, Beijing},
year = {2002},
mrclass = {82B44 (60K37 82-02 82D30)},
mrnumber = {1989209}
}
@InCollection{ tracy.widom:02:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On a distribution function arising in computational
biology},
booktitle = {Math{P}hys odyssey, 2001},
series = {Prog. Math. Phys.},
volume = {23},
pages = {467--474},
publisher = {Birkh\"{a}user Boston, Boston, MA},
year = {2002},
mrclass = {62E10 (33E99 62P10 92D20)},
mrnumber = {1903987}
}
@Article{ tracy.widom:02:on*1,
author = {Tracy, Craig A. and Widom, Harold},
title = {On the limit of some {T}oeplitz-like determinants},
journal = {SIAM J. Matrix Anal. Appl.},
fjournal = {SIAM Journal on Matrix Analysis and Applications},
volume = {23},
year = {2002},
number = {4},
pages = {1194--1196},
issn = {0895-4798},
mrclass = {47B35},
mrnumber = {1920941},
mrreviewer = {A. B\"{o}ttcher},
doi = {10.1137/S0895479801395367},
url = {https://doi.org/10.1137/S0895479801395367}
}
@Article{ tracy.widom:03:system,
author = {Tracy, Craig A. and Widom, Harold},
title = {A system of differential equations for the {A}iry
process},
journal = {Electron. Comm. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {8},
year = {2003},
pages = {93--98},
issn = {1083-589X},
mrclass = {82B44 (33E17)},
mrnumber = {1987098},
mrreviewer = {Dimitri Petritis},
doi = {10.1214/ECP.v8-1074},
url = {https://doi.org/10.1214/ECP.v8-1074}
}
@Article{ tracy.widom:04:differential,
author = {Tracy, Craig A. and Widom, Harold},
title = {Differential equations for {D}yson processes},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {252},
year = {2004},
number = {1-3},
pages = {7--41},
issn = {0010-3616},
mrclass = {82B41 (47N20 60J60)},
mrnumber = {2103903},
doi = {10.1007/s00220-004-1182-8},
url = {https://doi.org/10.1007/s00220-004-1182-8}
}
@Article{ tracy.widom:04:limit,
author = {Tracy, Craig A. and Widom, Harold},
title = {A limit theorem for shifted {S}chur measures},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {123},
year = {2004},
number = {1},
pages = {171--208},
issn = {0012-7094},
mrclass = {60F05 (05E05 05E10 33E17 47B35 47N30)},
mrnumber = {2060026},
mrreviewer = {Werner Linde},
doi = {10.1215/S0012-7094-04-12316-4},
url = {https://doi.org/10.1215/S0012-7094-04-12316-4}
}
@Article{ tracy.widom:05:matrix,
author = {Tracy, Craig A. and Widom, Harold},
title = {Matrix kernels for the {G}aussian orthogonal and
symplectic ensembles},
journal = {Ann. Inst. Fourier (Grenoble)},
fjournal = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
volume = {55},
year = {2005},
number = {6},
pages = {2197--2207},
issn = {0373-0956},
mrclass = {82C31 (47B34 47N30 60F99 82C22)},
mrnumber = {2187952},
mrreviewer = {Bruce A. Watson},
url = {http://aif.cedram.org/item?id=AIF_2005__55_6_2197_0}
}
@Article{ tracy.widom:06:pearcey,
author = {Tracy, Craig A. and Widom, Harold},
title = {The {P}earcey process},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {263},
year = {2006},
number = {2},
pages = {381--400},
issn = {0010-3616},
mrclass = {82C31 (15A52 60G55 60J65 82C41)},
mrnumber = {2207649},
mrreviewer = {Arno B. J. Kuijlaars},
doi = {10.1007/s00220-005-1506-3},
url = {https://doi.org/10.1007/s00220-005-1506-3}
}
@Article{ tracy.widom:07:nonintersecting,
author = {Tracy, Craig A. and Widom, Harold},
title = {Nonintersecting {B}rownian excursions},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {17},
year = {2007},
number = {3},
pages = {953--979},
issn = {1050-5164},
mrclass = {60K35 (33E17 60J65)},
mrnumber = {2326237},
mrreviewer = {Olivier Raimond},
doi = {10.1214/105051607000000041},
url = {https://doi.org/10.1214/105051607000000041}
}
@Article{ tracy.widom:08:dynamics,
author = {Tracy, Craig A. and Widom, Harold},
title = {The dynamics of the one-dimensional delta-function {B}ose
gas},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {41},
year = {2008},
number = {48},
pages = {485204, 6},
issn = {1751-8113},
mrclass = {82C10},
mrnumber = {2515881},
doi = {10.1088/1751-8113/41/48/485204},
url = {https://doi.org/10.1088/1751-8113/41/48/485204}
}
@Article{ tracy.widom:08:fredholm,
author = {Tracy, Craig A. and Widom, Harold},
title = {A {F}redholm determinant representation in {ASEP}},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {132},
year = {2008},
number = {2},
pages = {291--300},
issn = {0022-4715},
mrclass = {82C22 (47B35 47N30 60K35)},
mrnumber = {2415104},
mrreviewer = {M\'{a}rton Bal\'{a}zs},
doi = {10.1007/s10955-008-9562-7},
url = {https://doi.org/10.1007/s10955-008-9562-7}
}
@Article{ tracy.widom:08:integral,
author = {Tracy, Craig A. and Widom, Harold},
title = {Integral formulas for the asymmetric simple exclusion
process},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {279},
year = {2008},
number = {3},
pages = {815--844},
issn = {0010-3616},
mrclass = {60K35 (05A17 82B23 82C22)},
mrnumber = {2386729},
mrreviewer = {C\'{e}dric Bernardin},
doi = {10.1007/s00220-008-0443-3},
url = {https://doi.org/10.1007/s00220-008-0443-3}
}
@Article{ tracy.widom:09:asymptotics,
author = {Tracy, Craig A. and Widom, Harold},
title = {Asymptotics in {ASEP} with step initial condition},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {290},
year = {2009},
number = {1},
pages = {129--154},
issn = {0010-3616},
mrclass = {60K35 (47N30 82C22)},
mrnumber = {2520510},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1007/s00220-009-0761-0},
url = {https://doi.org/10.1007/s00220-009-0761-0}
}
@Article{ tracy.widom:09:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On {ASEP} with step {B}ernoulli initial condition},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {137},
year = {2009},
number = {5-6},
pages = {825--838},
issn = {0022-4715},
mrclass = {60K35 (82C22)},
mrnumber = {2570751},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.1007/s10955-009-9867-1},
url = {https://doi.org/10.1007/s10955-009-9867-1}
}
@Article{ tracy.widom:09:on*1,
author = {Tracy, Craig A. and Widom, Harold},
title = {On the distribution of a second-class particle in the
asymmetric simple exclusion process},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {42},
year = {2009},
number = {42},
pages = {425002, 6},
issn = {1751-8113},
mrclass = {60K35 (82C22)},
mrnumber = {2546037},
mrreviewer = {Pablo A. Ferrari},
doi = {10.1088/1751-8113/42/42/425002},
url = {https://doi.org/10.1088/1751-8113/42/42/425002}
}
@Article{ tracy.widom:09:total,
author = {Tracy, Craig A. and Widom, Harold},
title = {Total current fluctuations in the asymmetric simple
exclusion process},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {50},
year = {2009},
number = {9},
pages = {095204, 4},
issn = {0022-2488},
mrclass = {82C22 (60F05 60K35)},
mrnumber = {2566884},
mrreviewer = {Anton Klimovsky},
doi = {10.1063/1.3136630},
url = {https://doi.org/10.1063/1.3136630}
}
@Article{ tracy.widom:10:formulas,
author = {Tracy, Craig A. and Widom, Harold},
title = {Formulas for joint probabilities for the asymmetric simple
exclusion process},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {51},
year = {2010},
number = {6},
pages = {063302, 10},
issn = {0022-2488},
mrclass = {82C22},
mrnumber = {2675194},
doi = {10.1063/1.3431977},
url = {https://doi.org/10.1063/1.3431977}
}
@Article{ tracy.widom:10:formulas*1,
author = {Tracy, Craig A. and Widom, Harold},
title = {Formulas for {ASEP} with two-sided {B}ernoulli initial
condition},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {140},
year = {2010},
number = {4},
pages = {619--634},
issn = {0022-4715},
mrclass = {60K35},
mrnumber = {2670733},
mrreviewer = {Dimitri Petritis},
doi = {10.1007/s10955-010-0013-x},
url = {https://doi.org/10.1007/s10955-010-0013-x}
}
@Article{ tracy.widom:11:erratum,
author = {Tracy, Craig A. and Widom, Harold},
title = {Erratum to: {I}ntegral formulas for the asymmetric simple
exclusion process [MR2386729]},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {304},
year = {2011},
number = {3},
pages = {875--878},
issn = {0010-3616},
mrclass = {60K35 (05A17 82B23 82C22)},
mrnumber = {2794549},
doi = {10.1007/s00220-011-1249-2},
url = {https://doi.org/10.1007/s00220-011-1249-2}
}
@Article{ tracy.widom:11:formulas,
author = {Tracy, Craig A. and Widom, Harold},
title = {Formulas and asymptotics for the asymmetric simple
exclusion process},
journal = {Math. Phys. Anal. Geom.},
fjournal = {Mathematical Physics, Analysis and Geometry. An
International Journal Devoted to the Theory and
Applications of Analysis and Geometry to Physics},
volume = {14},
year = {2011},
number = {3},
pages = {211--235},
issn = {1385-0172},
mrclass = {60K35},
mrnumber = {2824604},
mrreviewer = {Ingemar Kaj},
doi = {10.1007/s11040-011-9095-1},
url = {https://doi.org/10.1007/s11040-011-9095-1}
}
@Article{ tracy.widom:11:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On asymmetric simple exclusion process with periodic step
{B}ernoulli initial condition},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {52},
year = {2011},
number = {2},
pages = {023303, 6},
issn = {0022-2488},
mrclass = {60K35 (82C22)},
mrnumber = {2798398},
mrreviewer = {Marina Vachkovskaia},
doi = {10.1063/1.3552139},
url = {https://doi.org/10.1063/1.3552139}
}
@Article{ tracy.widom:11:painleve,
author = {Tracy, Craig A. and Widom, Harold},
title = {Painlev\'{e} functions in statistical physics},
journal = {Publ. Res. Inst. Math. Sci.},
fjournal = {Publications of the Research Institute for Mathematical
Sciences},
volume = {47},
year = {2011},
number = {1},
pages = {361--374},
issn = {0034-5318},
mrclass = {60K35 (34M55 82B23)},
mrnumber = {2827730},
mrreviewer = {Timo Sepp\"{a}l\"{a}inen},
doi = {10.2977/PRIMS/38},
url = {https://doi.org/10.2977/PRIMS/38}
}
@Article{ tracy.widom:13:asymmetric,
author = {Tracy, Craig A. and Widom, Harold},
title = {The asymmetric simple exclusion process with an open
boundary},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {54},
year = {2013},
number = {10},
pages = {103301, 16},
issn = {0022-2488},
mrclass = {60K35 (82B23 82B40)},
mrnumber = {3134598},
mrreviewer = {Pablo A. Ferrari},
doi = {10.1063/1.4822418},
url = {https://doi.org/10.1063/1.4822418}
}
@Article{ tracy.widom:13:bose,
author = {Tracy, Craig A. and Widom, Harold},
title = {The {B}ose gas and asymmetric simple exclusion process on
the half-line},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {150},
year = {2013},
number = {1},
pages = {1--12},
issn = {0022-4715},
mrclass = {60K35 (82B23 82B40)},
mrnumber = {3018876},
mrreviewer = {Ivan Corwin},
doi = {10.1007/s10955-012-0686-4},
url = {https://doi.org/10.1007/s10955-012-0686-4}
}
@Article{ tracy.widom:13:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On the asymmetric simple exclusion process with multiple
species},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {150},
year = {2013},
number = {3},
pages = {457--470},
issn = {0022-4715},
mrclass = {60K35 (82C22 82C44)},
mrnumber = {3024137},
mrreviewer = {Anja Vo\ss -B\"{o}hme},
doi = {10.1007/s10955-012-0531-9},
url = {https://doi.org/10.1007/s10955-012-0531-9}
}
@Article{ tracy.widom:13:on*1,
author = {Tracy, Craig A. and Widom, Harold},
title = {On the diagonal susceptibility of the two-dimensional
{I}sing model},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {54},
year = {2013},
number = {12},
pages = {123302, 9},
issn = {0022-2488},
mrclass = {81V35 (81R12)},
mrnumber = {3156118},
mrreviewer = {Anja Vo\ss -B\"{o}hme},
doi = {10.1063/1.4836779},
url = {https://doi.org/10.1063/1.4836779}
}
@Article{ tracy.widom:14:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On the singularities in the susceptibility expansion for
the two-dimensional {I}sing model},
journal = {J. Stat. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {156},
year = {2014},
number = {6},
pages = {1125--1135},
issn = {0022-4715},
mrclass = {82B20 (82B26)},
mrnumber = {3240873},
doi = {10.1007/s10955-014-1061-4},
url = {https://doi.org/10.1007/s10955-014-1061-4}
}
@Article{ tracy.widom:16:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On the ground state energy of the {$\delta$}-function
{B}ose gas},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
volume = {49},
year = {2016},
number = {29},
pages = {294001, 17},
issn = {1751-8113},
mrclass = {82D05},
mrnumber = {3512121},
doi = {10.1088/1751-8113/49/29/294001},
url = {https://doi.org/10.1088/1751-8113/49/29/294001}
}
@Article{ tracy.widom:16:on*1,
author = {Tracy, Craig A. and Widom, Harold},
title = {On the ground state energy of the delta-function {F}ermi
gas},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {57},
year = {2016},
number = {10},
pages = {103301, 14},
issn = {0022-2488},
mrclass = {76Y05 (81V70 82D05)},
mrnumber = {3555152},
mrreviewer = {Reinhard Redlinger},
doi = {10.1063/1.4964252},
url = {https://doi.org/10.1063/1.4964252}
}
@Article{ tracy.widom:17:blocks,
author = {Tracy, Craig A. and Widom, Harold},
title = {Blocks in the asymmetric simple exclusion process},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {58},
year = {2017},
number = {12},
pages = {123302, 11},
issn = {0022-2488},
mrclass = {60K35 (82C22)},
mrnumber = {3738542},
mrreviewer = {B. M. Gurevich},
doi = {10.1063/1.4996345},
url = {https://doi.org/10.1063/1.4996345}
}
@InCollection{ tracy.widom:17:natural,
author = {Tracy, Craig A. and Widom, Harold},
title = {Natural boundary for a sum involving {T}oeplitz
determinants},
booktitle = {Large truncated {T}oeplitz matrices, {T}oeplitz operators,
and related topics},
series = {Oper. Theory Adv. Appl.},
volume = {259},
pages = {703--718},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2017},
mrclass = {47B35 (30E15 82B20)},
mrnumber = {3674645},
mrreviewer = {Hari Bercovici}
}
@Article{ tracy.widom:18:blocks,
author = {Tracy, Craig A. and Widom, Harold},
title = {Blocks and gaps in the asymmetric simple exclusion
process: asymptotics},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {59},
year = {2018},
number = {9},
pages = {091401, 13},
issn = {0022-2488},
mrclass = {60K35 (81R12)},
mrnumber = {3816452},
mrreviewer = {Eunghyun Lee},
doi = {10.1063/1.5021353},
url = {https://doi.org/10.1063/1.5021353}
}
@InCollection{ tracy.widom:18:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On the ground state energy of the delta-function {F}ermi
gas {II}: further asymptotics},
booktitle = {Geometric methods in physics {XXXV}},
series = {Trends Math.},
pages = {201--212},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2018},
mrclass = {81V80 (47B35)},
mrnumber = {3803638},
mrreviewer = {Dimitri Petritis}
}
@InCollection{ tracy.widom:93:introduction,
author = {Tracy, Craig A. and Widom, Harold},
title = {Introduction to random matrices},
booktitle = {Geometric and quantum aspects of integrable systems
({S}cheveningen, 1992)},
series = {Lecture Notes in Phys.},
volume = {424},
pages = {103--130},
publisher = {Springer, Berlin},
year = {1993},
mrclass = {82B41},
mrnumber = {1253763},
doi = {10.1007/BFb0021444},
url = {https://doi.org/10.1007/BFb0021444}
}
@Article{ tracy.widom:93:level-spacing,
author = {Tracy, Craig A. and Widom, Harold},
title = {Level-spacing distributions and the {A}iry kernel},
journal = {Phys. Lett. B},
fjournal = {Physics Letters. B. Particle Physics, Nuclear Physics and
Cosmology},
volume = {305},
year = {1993},
number = {1-2},
pages = {115--118},
issn = {0370-2693},
mrclass = {82B41 (82B20)},
mrnumber = {1215903},
doi = {10.1016/0370-2693(93)91114-3},
url = {https://doi.org/10.1016/0370-2693(93)91114-3}
}
@Article{ tracy.widom:94:fredholm,
author = {Tracy, Craig A. and Widom, Harold},
title = {Fredholm determinants, differential equations and matrix
models},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {163},
year = {1994},
number = {1},
pages = {33--72},
issn = {0010-3616},
mrclass = {82B05 (33C90 47A75 47G10 47N55 82B10)},
mrnumber = {1277933},
mrreviewer = {Peter J. Forrester},
url = {http://projecteuclid.org/euclid.cmp/1104270379}
}
@Article{ tracy.widom:94:level,
author = {Tracy, Craig A. and Widom, Harold},
title = {Level spacing distributions and the {B}essel kernel},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {161},
year = {1994},
number = {2},
pages = {289--309},
issn = {0010-3616},
mrclass = {82B05 (33C90 47A75 47G10 47N55 82B10)},
mrnumber = {1266485},
mrreviewer = {Estelle L. Basor},
url = {http://projecteuclid.org/euclid.cmp/1104269903}
}
@Article{ tracy.widom:94:level-spacing,
author = {Tracy, Craig A. and Widom, Harold},
title = {Level-spacing distributions and the {A}iry kernel},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {159},
year = {1994},
number = {1},
pages = {151--174},
issn = {0010-3616},
mrclass = {82B05 (33C90 47A75 47G10 47N55 82B10)},
mrnumber = {1257246},
mrreviewer = {Estelle L. Basor},
url = {http://projecteuclid.org/euclid.cmp/1104254495}
}
@InCollection{ tracy.widom:95:systems,
author = {Tracy, C. A. and Widom, H.},
title = {Systems of partial differential equations for a class of
operator determinants},
booktitle = {Partial differential operators and mathematical physics
({H}olzhau, 1994)},
series = {Oper. Theory Adv. Appl.},
volume = {78},
pages = {381--388},
publisher = {Birkh\"{a}user, Basel},
year = {1995},
mrclass = {47G10 (35Q99 82B05)},
mrnumber = {1365352},
mrreviewer = {Peter J. Forrester}
}
@Article{ tracy.widom:96:fredholm,
author = {Tracy, Craig A. and Widom, Harold},
title = {Fredholm determinants and the m{K}d{V}/sinh-{G}ordon
hierarchies},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {179},
year = {1996},
number = {1},
pages = {1--9},
issn = {0010-3616},
mrclass = {58F07 (35Q53)},
mrnumber = {1395215},
mrreviewer = {Alexander V. Shapovalov},
url = {http://projecteuclid.org/euclid.cmp/1104286868}
}
@Article{ tracy.widom:96:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On orthogonal and symplectic matrix ensembles},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {177},
year = {1996},
number = {3},
pages = {727--754},
issn = {0010-3616},
mrclass = {82B44 (15A52 47N55 60H25)},
mrnumber = {1385083},
mrreviewer = {Oleksiy Khorunzhiy},
url = {http://projecteuclid.org/euclid.cmp/1104286442}
}
@Article{ tracy.widom:96:proofs,
author = {Tracy, C. A. and Widom, H.},
title = {Proofs of two conjectures related to the thermodynamic
{B}ethe ansatz},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {179},
year = {1996},
number = {3},
pages = {667--680},
issn = {0010-3616},
mrclass = {82B23 (45P05 81T40)},
mrnumber = {1400757},
mrreviewer = {Rinat M. Kashaev},
url = {http://projecteuclid.org/euclid.cmp/1104287120}
}
@Article{ tracy.widom:97:on,
author = {Tracy, Craig A. and Widom, Harold},
title = {On exact solutions to the cylindrical
{P}oisson-{B}oltzmann equation with applications to
polyelectrolytes},
journal = {Phys. A},
fjournal = {Physica A},
volume = {244},
year = {1997},
number = {1-4},
pages = {402--413},
issn = {0378-4371},
mrclass = {82D99 (58F40 81V55)},
mrnumber = {1612163},
mrreviewer = {Vitor R. Vieira},
doi = {10.1016/S0378-4371(97)00229-X},
url = {https://doi.org/10.1016/S0378-4371(97)00229-X}
}
@InProceedings{ tracy.widom:97:thermodynamic,
author = {Tracy, Craig A. and Widom, Harold},
title = {The thermodynamic {B}ethe ansatz and a connection with
{P}ainlev\'{e} equations},
booktitle = {Proceedings of the {C}onference on {E}xactly {S}oluble
{M}odels in {S}tatistical {M}echanics: {H}istorical
{P}erspectives and {C}urrent {S}tatus ({B}oston, {MA},
1996)},
journal = {Internat. J. Modern Phys. B},
fjournal = {International Journal of Modern Physics B},
volume = {11},
year = {1997},
number = {1-2},
pages = {69--74},
issn = {0217-9792},
mrclass = {82B23 (45A05 45G10)},
mrnumber = {1435056},
doi = {10.1142/S0217979297000095},
url = {https://doi.org/10.1142/S0217979297000095}
}
@Article{ tracy.widom:98:asymptotics,
author = {Tracy, Craig A. and Widom, Harold},
title = {Asymptotics of a class of solutions to the cylindrical
{T}oda equations},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {190},
year = {1998},
number = {3},
pages = {697--721},
issn = {0010-3616},
mrclass = {35Q99 (47G10 47N20 58F19)},
mrnumber = {1600492},
mrreviewer = {Spyridon Kamvissis},
doi = {10.1007/s002200050257},
url = {https://doi.org/10.1007/s002200050257}
}
@Article{ tracy.widom:98:correlation,
author = {Tracy, Craig A. and Widom, Harold},
title = {Correlation functions, cluster functions, and spacing
distributions for random matrices},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {92},
year = {1998},
number = {5-6},
pages = {809--835},
issn = {0022-4715},
mrclass = {82B44 (82B41)},
mrnumber = {1657844},
mrreviewer = {Estelle L. Basor},
doi = {10.1023/A:1023084324803},
url = {https://doi.org/10.1023/A:1023084324803}
}
@InCollection{ tracy.widom:99:asymptotics,
author = {Tracy, Craig A. and Widom, Harold},
title = {Asymptotics of a class of {F}redholm determinants},
booktitle = {Spectral problems in geometry and arithmetic ({I}owa
{C}ity, {IA}, 1997)},
series = {Contemp. Math.},
volume = {237},
pages = {167--174},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1999},
mrclass = {47G10 (34E05 37K60 47B35 82B41)},
mrnumber = {1710795},
doi = {10.1090/conm/237/1710795},
url = {https://doi.org/10.1090/conm/237/1710795}
}
@Article{ tracy.widom:99:random,
author = {Tracy, Craig A. and Widom, Harold},
title = {Random unitary matrices, permutations and {P}ainlev\'{e}},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {207},
year = {1999},
number = {3},
pages = {665--685},
issn = {0010-3616},
mrclass = {15A52 (33E17 34M55 60C05 60F99)},
mrnumber = {1727236},
doi = {10.1007/s002200050741},
url = {https://doi.org/10.1007/s002200050741}
}
@InCollection{ tracy.widom:99:universality,
author = {Tracy, Craig A. and Widom, Harold},
title = {Universality of the distribution functions of random
matrix theory},
booktitle = {Statistical physics on the eve of the 21st century},
series = {Ser. Adv. Statist. Mech.},
volume = {14},
pages = {230--239},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1999},
mrclass = {82B41 (82-02)},
mrnumber = {1704004}
}
@Article{ tracy:85:complete,
author = {Tracy, Craig A.},
title = {Complete integrability in statistical mechanics and the
{Y}ang-{B}axter equations},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {14},
year = {1985},
number = {2},
pages = {253--264},
issn = {0167-2789},
mrclass = {82A05 (58F07 82A68)},
mrnumber = {784957},
mrreviewer = {Anatoliy Prykarpatsky},
doi = {10.1016/0167-2789(85)90183-6},
url = {https://doi.org/10.1016/0167-2789(85)90183-6}
}
@Article{ tracy:85:embedded,
author = {Tracy, Craig A.},
title = {Embedded elliptic curves and the {Y}ang-{B}axter
equations},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {16},
year = {1985},
number = {2},
pages = {203--220},
issn = {0167-2789},
mrclass = {58F07 (14K25 82A05 82A68)},
mrnumber = {796270},
mrreviewer = {L. A. Takhtajan (Takhtadzhyan)},
doi = {10.1016/0167-2789(85)90058-2},
url = {https://doi.org/10.1016/0167-2789(85)90058-2}
}
@Article{ tracy:86:zn,
author = {Tracy, Craig A.},
title = {{$Z_n$} {B}axter model: critical behavior},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {44},
year = {1986},
number = {1-2},
pages = {183--191},
issn = {0022-4715},
mrclass = {82A67 (82A25 82A68)},
mrnumber = {854403},
mrreviewer = {Paul A. Pearce},
doi = {10.1007/BF01010910},
url = {https://doi.org/10.1007/BF01010910}
}
@Article{ tracy:87:emerging,
author = {Tracy, Craig A.},
title = {The emerging role of number theory in exactly solvable
models in lattice statistical mechanics},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {25},
year = {1987},
number = {1-3},
pages = {1--19},
issn = {0167-2789},
mrclass = {82A68 (11F03 11F27 58F40 58G40 82-02 82A69)},
mrnumber = {887458},
mrreviewer = {L. A. Takhtajan (Takhtadzhyan)},
doi = {10.1016/0167-2789(87)90094-7},
url = {https://doi.org/10.1016/0167-2789(87)90094-7}
}
@Article{ tracy:88:universality,
author = {Tracy, Craig A.},
title = {Universality classes of some aperiodic {I}sing models},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {21},
year = {1988},
number = {11},
pages = {L603--L605},
issn = {0305-4470},
mrclass = {82A68 (82-04 82A25)},
mrnumber = {953188},
url = {http://stacks.iop.org/0305-4470/21/L603}
}
@Article{ tracy:88:universality*1,
author = {Tracy, Craig A.},
title = {Universality class of a {F}ibonacci {I}sing model},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {51},
year = {1988},
number = {3-4},
pages = {481--490},
issn = {0022-4715},
mrclass = {82A68},
mrnumber = {952944},
mrreviewer = {Peter J. Forrester},
doi = {10.1007/BF01028467},
url = {https://doi.org/10.1007/BF01028467}
}
@InCollection{ tracy:89:introduction,
author = {Tracy, Craig A.},
title = {Introduction to exactly solvable models in statistical
mechanics},
booktitle = {Theta functions---{B}owdoin 1987, {P}art 1 ({B}runswick,
{ME}, 1987)},
series = {Proc. Sympos. Pure Math.},
volume = {49},
pages = {355--375},
publisher = {Amer. Math. Soc., Providence, RI},
year = {1989},
mrclass = {82A05 (11P57 58F07 82A68 82A69)},
mrnumber = {1013141}
}
@Article{ tracy:89:monodromy,
author = {Tracy, Craig A.},
title = {Monodromy preserving deformation theory of the
{K}lein-{G}ordon equation in the hyperbolic plane},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {34},
year = {1989},
number = {3},
pages = {347--365},
issn = {0167-2789},
mrclass = {35Q20 (58F19 58G25 81E99)},
mrnumber = {991293},
mrreviewer = {Anatoliy Prykarpatsky},
doi = {10.1016/0167-2789(89)90260-1},
url = {https://doi.org/10.1016/0167-2789(89)90260-1}
}
@InCollection{ tracy:90:monodromy,
author = {Tracy, Craig A.},
title = {Monodromy preserving deformation of linear ordinary and
partial differential equations},
booktitle = {Solitons in physics, mathematics, and nonlinear optics
({M}inneapolis, {MN}, 1988--89)},
series = {IMA Vol. Math. Appl.},
volume = {25},
pages = {165--174},
publisher = {Springer, New York},
year = {1990},
mrclass = {58F07 (34A30 35Q51)},
mrnumber = {1060544},
mrreviewer = {Allan P. Fordy},
doi = {10.1007/978-1-4613-9033-6\_9},
url = {https://doi.org/10.1007/978-1-4613-9033-6_9}
}
@Article{ tracy:91:asymptotics,
author = {Tracy, Craig A.},
title = {Asymptotics of a {$\tau$}-function arising in the
two-dimensional {I}sing model},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {142},
year = {1991},
number = {2},
pages = {297--311},
issn = {0010-3616},
mrclass = {82B20 (82B23)},
mrnumber = {1137066},
mrreviewer = {Edward P. Osipov},
url = {http://projecteuclid.org/euclid.cmp/1104248587}
}
@Book{ tran:21:hamilton-jacobi,
author = {Tran, Hung Vinh},
title = {Hamilton-{J}acobi equations---theory and applications},
series = {Graduate Studies in Mathematics},
volume = {213},
publisher = {American Mathematical Society, Providence, RI},
year = {[2021] \copyright 2021},
pages = {xiv+322},
isbn = {978-1-4704-6511-7},
mrclass = {35-02 (35F21 37Jxx 49L12 49L25)},
mrnumber = {4328923},
mrreviewer = {Diogo\ Lu\'{\i}s Aguiar Gomes},
doi = {10.1090/gsm/213},
url = {https://doi.org/10.1090/gsm/213}
}
@Article{ trauthwein:22:quantitative,
title = {Quantitative CLTs on the Poisson space via Skorohod
estimates and $p$-Poincar\'e inequalities},
author = {Tara Trauthwein},
year = {2022},
month = {December},
journal = {Preprint arXiv:2212.03782},
url = {http://arXiv.org/abs/2212.03782}
}
@Article{ treeby.cox:10:modeling,
author = {Treeby, Bradley E. and Cox, B. T.},
title = {Modeling power law absorption and dispersion for acoustic
propagation using the fractional Laplacian},
journal = {The Journal of the Acoustical Society of America},
volume = {127},
number = {5},
pages = {2741--2748},
year = {2010},
month = {05},
issn = {0001-4966},
doi = {10.1121/1.3377056},
url = {https://doi.org/10.1121/1.3377056},
eprint = {https://pubs.aip.org/asa/jasa/article-pdf/127/5/2741/14776711/2741\_1\_online.pdf}
}
@Book{ treves:22:analytic,
author = {Treves, Fran\c{c}ois},
title = {Analytic partial differential equations},
series = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {359},
publisher = {Springer, Cham},
year = {[2022] \copyright 2022},
pages = {xiii+1228},
isbn = {978-3-030-94054-6; 978-3-030-94055-3},
mrclass = {35-02 (35A01 35A09 35A10 46-02)},
mrnumber = {4436039},
doi = {10.1007/978-3-030-94055-3},
url = {https://doi.org/10.1007/978-3-030-94055-3}
}
@Book{ treves:75:basic,
author = {Tr\`eves, Fran\c{c}ois},
title = {Basic linear partial differential equations},
series = {Pure and Applied Mathematics, Vol. 62},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
New York-London},
year = {1975},
pages = {xvii+470},
mrclass = {35-02},
mrnumber = {0447753},
mrreviewer = {Jeffrey Rauch}
}
@Article{ tribe:95:large,
author = {Tribe, Roger},
title = {Large time behavior of interface solutions to the heat
equation with {F}isher-{W}right white noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {102},
year = {1995},
number = {3},
pages = {289--311},
issn = {0178-8051},
mrclass = {60H15 (60G60)},
mrnumber = {1339735},
mrreviewer = {Robert C. Dalang},
doi = {10.1007/BF01192463},
url = {https://doi.org/10.1007/BF01192463}
}
@Article{ tribe:96:travelling,
author = {Tribe, Roger},
title = {A travelling wave solution to the {K}olmogorov equation
with noise},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {56},
year = {1996},
number = {3-4},
pages = {317--340},
issn = {1045-1129},
mrclass = {60H15 (35K55 35R60)},
mrnumber = {1396765},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1080/17442509608834047},
url = {https://doi.org/10.1080/17442509608834047}
}
@Book{ tricomi:85:integral,
author = {Tricomi, F. G.},
title = {Integral equations},
note = {Reprint of the 1957 original},
publisher = {Dover Publications, Inc., New York},
year = {1985},
pages = {viii+238},
isbn = {0-486-64828-1},
mrclass = {45-01},
mrnumber = {809184}
}
@Article{ triebel:02:function,
author = {Triebel, Hans},
title = {Function spaces in {L}ipschitz domains and on {L}ipschitz
manifolds. {C}haracteristic functions as pointwise
multipliers},
journal = {Rev. Mat. Complut.},
fjournal = {Revista Matem\'{a}tica Complutense},
volume = {15},
year = {2002},
number = {2},
pages = {475--524},
issn = {1139-1138},
mrclass = {46E35 (58D15)},
mrnumber = {1951822},
mrreviewer = {Gilles Carron},
doi = {10.5209/rev\_REMA.2002.v15.n2.16910},
url = {https://doi.org/10.5209/rev_REMA.2002.v15.n2.16910}
}
@Book{ triebel:06:theory,
author = {Triebel, Hans},
title = {Theory of function spaces. {III}},
series = {Monographs in Mathematics},
volume = {100},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {2006},
pages = {xii+426},
isbn = {978-3-7643-7581-2; 3-7643-7581-7},
mrclass = {46E35 (46-02)},
mrnumber = {2250142},
mrreviewer = {Lubo\v{s} Pick}
}
@Book{ triebel:83:theory,
author = {Triebel, Hans},
title = {Theory of function spaces},
series = {Monographs in Mathematics},
volume = {78},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {1983},
pages = {284},
isbn = {3-7643-1381-1},
mrclass = {46Exx},
mrnumber = {781540},
doi = {10.1007/978-3-0346-0416-1},
url = {https://doi.org/10.1007/978-3-0346-0416-1}
}
@Book{ triebel:92:theory,
author = {Triebel, Hans},
title = {Theory of function spaces. {II}},
series = {Monographs in Mathematics},
volume = {84},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {1992},
pages = {viii+370},
isbn = {3-7643-2639-5},
mrclass = {46Exx (46-02)},
mrnumber = {1163193},
mrreviewer = {P. Szeptycki},
doi = {10.1007/978-3-0346-0419-2},
url = {https://doi.org/10.1007/978-3-0346-0419-2}
}
@Book{ triebel:95:interpolation,
author = {Triebel, Hans},
title = {Interpolation theory, function spaces, differential
operators},
edition = {Second},
publisher = {Johann Ambrosius Barth, Heidelberg},
year = {1995},
pages = {532},
isbn = {3-335-00420-5},
mrclass = {46-02 (35Jxx 46E10 46E35 46M35)},
mrnumber = {1328645}
}
@Book{ trogdon.olver:16:riemann-hilbert,
author = {Trogdon, Thomas and Olver, Sheehan},
title = {Riemann-{H}ilbert problems, their numerical solution, and
the computation of nonlinear special functions},
publisher = {Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, PA},
year = {2016},
pages = {xviii+373},
isbn = {978-1-611974-19-5},
mrclass = {30-02 (30E25 35Q15 35Q53 35Q55)},
mrnumber = {3450072},
mrreviewer = {Kuzman Adzievski}
}
@Article{ trotter:84:eigenvalue,
author = {Trotter, Hale F.},
title = {Eigenvalue distributions of large {H}ermitian matrices;
{W}igner's semicircle law and a theorem of {K}ac,
{M}urdock, and {S}zeg\H{o}},
journal = {Adv. in Math.},
fjournal = {Advances in Mathematics},
volume = {54},
year = {1984},
number = {1},
pages = {67--82},
issn = {0001-8708},
mrclass = {60F99 (15A52 15A57 82A05)},
mrnumber = {761763},
mrreviewer = {M. L. Mehta},
doi = {10.1016/0001-8708(84)90037-9},
url = {https://doi.org/10.1016/0001-8708(84)90037-9}
}
@Article{ truszczynski:84:graceful,
author = {Truszczynski, Miroslaw},
title = {Graceful unicyclic graphs},
journal = {Demonstatio Mathematica},
year = {1984},
volume = {17},
pages = {377--387}
}
@Article{ tsai:11:viscous,
author = {Tsai, Li-Cheng},
title = {Viscous shock propagation with boundary effect},
journal = {Bull. Inst. Math. Acad. Sin. (N.S.)},
fjournal = {Bulletin of the Institute of Mathematics. Academia Sinica.
New Series},
volume = {6},
year = {2011},
number = {1},
pages = {1--25},
issn = {2304-7909},
mrclass = {35L65 (35C07 35L67 76L05 76N10)},
mrnumber = {2850085},
mrreviewer = {Kayyunnapara Thomas Joseph}
}
@InCollection{ tsai:16:infinite,
author = {Tsai, Li-Cheng},
title = {Infinite dimensional stochastic differential equations by
{D}yson's model},
booktitle = {Stochastic analysis on large scale interacting systems},
series = {RIMS K\^{o}ky\^{u}roku Bessatsu, B59},
pages = {175--201},
publisher = {Res. Inst. Math. Sci. (RIMS), Kyoto},
year = {2016},
mrclass = {60K35 (60J60 82C22)},
mrnumber = {3675932}
}
@Article{ tsai:16:infinite*1,
author = {Tsai, Li-Cheng},
title = {Infinite dimensional stochastic differential equations for
{D}yson's model},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {166},
year = {2016},
number = {3-4},
pages = {801--850},
issn = {0178-8051},
mrclass = {60K35 (60G55 60J60)},
mrnumber = {3568040},
mrreviewer = {Hirofumi Osada},
doi = {10.1007/s00440-015-0672-2},
url = {https://doi.org/10.1007/s00440-015-0672-2}
}
@Article{ tsai:18:stationary,
author = {Tsai, Li-Cheng},
title = {Stationary distributions of the {A}tlas model},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {23},
year = {2018},
pages = {Paper No. 10, 10},
mrclass = {60J60 (60H10)},
mrnumber = {3771768},
mrreviewer = {Tomoyuki Ichiba},
doi = {10.1214/18-ECP112},
url = {https://doi.org/10.1214/18-ECP112}
}
@InCollection{ tsai:21:large,
author = {Tsai, Li-Cheng},
title = {Large deviations of the {KPZ} equation via the stochastic
{A}iry operator},
booktitle = {Stochastic analysis, random fields and integrable
probability---{F}ukuoka 2019},
series = {Adv. Stud. Pure Math.},
volume = {87},
pages = {415--429},
publisher = {Math. Soc. Japan, Tokyo},
year = {[2021] \copyright 2021},
mrclass = {60F10 (60H25)},
mrnumber = {4397433}
}
@Article{ tsai:22:exact,
author = {Tsai, Li-Cheng},
title = {Exact lower-tail large deviations of the {KPZ} equation},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {171},
year = {2022},
number = {9},
pages = {1879--1922},
issn = {0012-7094},
mrclass = {60F10 (60G55 60H15 60H25)},
mrnumber = {4484218},
doi = {10.1215/00127094-2022-0008},
url = {https://doi.org/10.1215/00127094-2022-0008}
}
@Article{ tsatsoulis.weber:18:spectral,
author = {Tsatsoulis, Pavlos and Weber, Hendrik},
title = {Spectral gap for the stochastic quantization equation on
the 2-dimensional torus},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {54},
year = {2018},
number = {3},
pages = {1204--1249},
issn = {0246-0203},
mrclass = {60H15 (47A10 81T08)},
mrnumber = {3825880},
mrreviewer = {Jiang Lun Wu},
doi = {10.1214/17-AIHP837},
url = {https://doi.org/10.1214/17-AIHP837}
}
@Article{ tsatsoulis.weber:20:exponential,
author = {Tsatsoulis, Pavlos and Weber, Hendrik},
title = {Exponential loss of memory for the 2-dimensional
{A}llen-{C}ahn equation with small noise},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {177},
year = {2020},
number = {1-2},
pages = {257--322},
issn = {0178-8051},
mrclass = {60H17 (35K57 60H50)},
mrnumber = {4095014},
doi = {10.1007/s00440-019-00945-x},
url = {https://doi.org/10.1007/s00440-019-00945-x}
}
@Book{ tschoegl:89:phenomenological,
title = {The Phenomenological Theory of Linear Viscoelastic
Behavior: An Introduction},
author = {Nichoas W. Tschoegl},
isbn = {9783642736025},
year = {1989},
publisher = {Springer Berlin Heidelberg}
}
@Book{ tsuji:75:potential,
author = {Tsuji, M.},
title = {Potential theory in modern function theory},
note = {Reprinting of the 1959 original},
publisher = {Chelsea Publishing Co., New York},
year = {1975},
pages = {x+590},
mrclass = {31-02},
mrnumber = {0414898}
}
@InCollection{ tsujikawa:97:stability,
author = {Tsujikawa, Tohru},
title = {Stability of aggregating patterns in a chemotaxis model
including growth},
booktitle = {China-{J}apan {S}ymposium on {R}eaction-{D}iffusion
{E}quations and their {A}pplications and {C}omputational
{A}spects ({S}hanghai, 1994)},
pages = {159--165},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1997},
mrclass = {35Q80 (35B35 92C15 92C35)},
mrnumber = {1654389}
}
@Article{ tsutsumi.mukasa:71:parabolic,
author = {Tsutsumi, Masayoshi and Mukasa, Toshio},
title = {Parabolic regularizations for the generalized
{K}orteweg-de {V}ries equation},
journal = {Funkcial. Ekvac.},
fjournal = {Funkcialaj Ekvacioj. Serio Internacia},
volume = {14},
year = {1971},
pages = {89--110},
issn = {0532-8721},
mrclass = {35Q99},
mrnumber = {312097},
mrreviewer = {A. Elcrat},
url = {http://www.math.kobe-u.ac.jp/~fe/xml/mr0312097.xml}
}
@Article{ tsutsumi:72:existence,
author = {Tsutsumi, Masayoshi},
title = {Existence and nonexistence of global solutions for
nonlinear parabolic equations},
journal = {Publ. Res. Inst. Math. Sci.},
fjournal = {Kyoto University. Research Institute for Mathematical
Sciences. Publications},
volume = {8},
year = {1972},
pages = {211--229},
issn = {0034-5318},
mrclass = {35K55},
mrnumber = {0312079},
mrreviewer = {G. W. Hedstrom},
doi = {10.2977/prims/1195193108},
url = {https://doi.org/10.2977/prims/1195193108}
}
@Article{ tu.mu.ea:18:global,
author = {Tu, Xinyu and Mu, Chunlai and Zheng, Pan and Lin, Ke},
title = {Global dynamics in a two-species chemotaxis-competition
system with two signals},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems},
volume = {38},
year = {2018},
number = {7},
pages = {3617--3636},
issn = {1078-0947},
mrclass = {92C17 (35B34 35B35 35M33 35Q92)},
mrnumber = {3809095},
mrreviewer = {Robert Willie},
doi = {10.3934/dcds.2018156},
url = {https://doi.org/10.3934/dcds.2018156}
}
@Article{ tuan.lesnic.ea:22:regularization,
author = {Tuan, Nguyen Huy and Lesnic, Daniel and Thach, Tran Ngoc
and Ngoc, Tran Bao},
title = {Regularization of the backward stochastic heat conduction
problem},
journal = {J. Inverse Ill-Posed Probl.},
fjournal = {Journal of Inverse and Ill-Posed Problems},
volume = {30},
year = {2022},
number = {3},
pages = {351--362},
issn = {0928-0219,1569-3945},
mrclass = {35R60 (26A33 35B65 35R11)},
mrnumber = {4431341},
mrreviewer = {Le\ Chen},
doi = {10.1515/jiip-2020-0013},
url = {https://doi.org/10.1515/jiip-2020-0013}
}
@Article{ tuan.nane.ea:20:approximation,
author = {Tuan, Nguyen Huy and Nane, Erkan and O'Regan, Donal and
Phuong, Nguyen Duc},
title = {Approximation of mild solutions of a semilinear fractional
differential equation with random noise},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {148},
year = {2020},
number = {8},
pages = {3339--3357},
issn = {0002-9939},
mrclass = {35R11 (26A33 45A05 65J08)},
mrnumber = {4108842},
mrreviewer = {Andrey I. Zahariev},
doi = {10.1090/proc/15029},
url = {https://doi.org/10.1090/proc/15029}
}
@Article{ tuan.nane:17:inverse,
author = {Tuan, Nguyen Huy and Nane, Erkan},
title = {Inverse source problem for time-fractional diffusion with
discrete random noise},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {120},
year = {2017},
pages = {126--134},
issn = {0167-7152},
mrclass = {35R11 (35R30 62G08)},
mrnumber = {3567931},
doi = {10.1016/j.spl.2016.09.026},
url = {https://doi.org/10.1016/j.spl.2016.09.026}
}
@Article{ tubaro:88:some,
author = {Tubaro, Luciano},
title = {Some results on stochastic partial differential equations
by the stochastic characteristics method},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {6},
year = {1988},
number = {2},
pages = {217--230},
issn = {0736-2994},
mrclass = {60H15},
mrnumber = {940902},
mrreviewer = {Constantin Tudor},
doi = {10.1080/07362998808809144},
url = {https://doi.org/10.1080/07362998808809144}
}
@Article{ tudor.tudor:99:pseudo,
author = {Tudor, C. A. and Tudor, M.},
title = {Pseudo almost periodic solutions of some stochastic
differential equations},
journal = {Math. Rep. (Bucur.)},
fjournal = {Mathematical Reports (Bucure\c sti)},
volume = {1(51)},
year = {1999},
number = {2},
pages = {305--314},
issn = {1582-3067,2285-3898},
mrclass = {60H10},
mrnumber = {1825773}
}
@Article{ tudor.viens:03:ito,
author = {Tudor, Ciprian A. and Viens, Frederi G.},
title = {It\^o{} formula and local time for the fractional
{B}rownian sheet},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {8},
year = {2003},
pages = {no. 14, 31},
issn = {1083-6489},
mrclass = {60H07 (60G15)},
mrnumber = {1998763},
mrreviewer = {David\ Nualart},
doi = {10.1214/EJP.v8-155},
url = {https://doi.org/10.1214/EJP.v8-155}
}
@Article{ tudor.viens:07:statistical,
author = {Tudor, Ciprian A. and Viens, Frederi G.},
title = {Statistical aspects of the fractional stochastic
calculus},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {35},
year = {2007},
number = {3},
pages = {1183--1212},
issn = {0090-5364,2168-8966},
mrclass = {62M09 (60G18 60H07 60H10)},
mrnumber = {2341703},
mrreviewer = {Ross\ S.\ McVinish},
doi = {10.1214/009053606000001541},
url = {https://doi.org/10.1214/009053606000001541}
}
@Article{ tudor.viens:09:variations,
author = {Tudor, Ciprian A. and Viens, Frederi G.},
title = {Variations and estimators for self-similarity parameters
via {M}alliavin calculus},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {37},
year = {2009},
number = {6},
pages = {2093--2134},
issn = {0091-1798,2168-894X},
mrclass = {60G18 (60F05 60G22 60H05 60H07 62F12)},
mrnumber = {2573552},
mrreviewer = {Anthony\ R\'eveillac},
doi = {10.1214/09-AOP459},
url = {https://doi.org/10.1214/09-AOP459}
}
@Article{ tudor.xiao:07:sample,
author = {Tudor, Ciprian A. and Xiao, Yimin},
title = {Sample path properties of bifractional {B}rownian motion},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {13},
year = {2007},
number = {4},
pages = {1023--1052},
issn = {1350-7265,1573-9759},
mrclass = {60G17 (60G15 60J55)},
mrnumber = {2364225},
mrreviewer = {Erick\ Herbin},
doi = {10.3150/07-BEJ6110},
url = {https://doi.org/10.3150/07-BEJ6110}
}
@Article{ tudor.xiao:17:sample,
author = {Tudor, Ciprian A. and Xiao, Yimin},
title = {Sample paths of the solution to the fractional-colored
stochastic heat equation},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {17},
year = {2017},
number = {1},
pages = {1750004, 20},
issn = {0219-4937},
mrclass = {60H15 (60G17 60G22 91G70)},
mrnumber = {3583991},
mrreviewer = {Raluca M. Balan},
doi = {10.1142/S0219493717500046},
url = {https://doi.org/10.1142/S0219493717500046}
}
@Article{ tudor:04:fractional,
author = {Tudor, Constantin},
title = {Fractional bilinear stochastic equations with the drift in
the first fractional chaos},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {22},
year = {2004},
number = {5},
pages = {1209--1233},
issn = {0736-2994},
mrclass = {60H07 (60H20)},
mrnumber = {2089065},
mrreviewer = {Rainer Buckdahn},
doi = {10.1081/SAP-200026448},
url = {https://doi.org/10.1081/SAP-200026448}
}
@Article{ tudor:08:analysis,
author = {Tudor, Ciprian A.},
title = {Analysis of the {R}osenblatt process},
journal = {ESAIM Probab. Stat.},
fjournal = {ESAIM. Probability and Statistics},
volume = {12},
year = {2008},
pages = {230--257},
issn = {1292-8100,1262-3318},
mrclass = {60G18 (60G15 60H05 60H07)},
mrnumber = {2374640},
mrreviewer = {Ivan\ Nourdin},
doi = {10.1051/ps:2007037},
url = {https://doi.org/10.1051/ps:2007037}
}
@Book{ tudor:13:analysis,
author = {Tudor, Ciprian A.},
title = {Analysis of variations for self-similar processes},
series = {Probability and its Applications (New York)},
note = {A stochastic calculus approach},
publisher = {Springer, Cham},
year = {2013},
pages = {xii+268},
isbn = {978-3-319-00935-3; 978-3-319-00936-0},
mrclass = {60G18 (60F05 60H05 60H07)},
mrnumber = {3112799},
mrreviewer = {Anthony\ R\'eveillac},
doi = {10.1007/978-3-319-00936-0},
url = {https://doi.org/10.1007/978-3-319-00936-0}
}
@Article{ tudor:13:determinant,
author = {Tudor, Ciprian A.},
title = {The determinant of the {M}alliavin matrix and the
determinant of the covariance matrix for multiple
integrals},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {10},
year = {2013},
number = {2},
pages = {681--692},
mrclass = {60H07 (60H05)},
mrnumber = {3108810},
mrreviewer = {David Nualart}
}
@Article{ tudor:25:multidimensional,
author = {Tudor, Ciprian A.},
title = {Multidimensional {S}tein method and quantitative
asymptotic independence},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {378},
year = {2025},
number = {2},
pages = {1127--1165},
issn = {0002-9947},
mrclass = {60F05 (60G15 60H05 60H07)},
mrnumber = {4850436},
doi = {10.1090/tran/9284},
url = {https://doi.org/10.1090/tran/9284}
}
@InCollection{ tulino.verdu:11:asymptotic,
author = {Tulino, A. M. and Verd\'{u}, S.},
title = {Asymptotic singular value distributions in information
theory},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {851--872},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60B20 (15B52 94A15)},
mrnumber = {2932661}
}
@Article{ twardowska.zabczyk:04:note,
author = {Twardowska, Krystyna and Zabczyk, Jerzy},
title = {A note on stochastic {B}urgers' system of equations},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {22},
year = {2004},
number = {6},
pages = {1641--1670},
issn = {0736-2994},
mrclass = {35R60 (35Q53 76F55 76M35)},
mrnumber = {2095074},
doi = {10.1081/SAP-200029505},
url = {https://doi.org/10.1081/SAP-200029505}
}
@InCollection{ twardowska.zabczyk:06:qualitative,
author = {Twardowska, Krystyna and Zabczyk, Jerzy},
title = {Qualitative properties of solutions to stochastic
{B}urgers' system of equations},
booktitle = {Stochastic partial differential equations and
applications---{VII}},
series = {Lect. Notes Pure Appl. Math.},
volume = {245},
pages = {311--322},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
mrclass = {60H15 (76M35)},
mrnumber = {2227238},
mrreviewer = {Nicholas Frangos},
doi = {10.1201/9781420028720.ch25},
url = {https://doi.org/10.1201/9781420028720.ch25}
}
@Article{ tyson.lubkin.ea:99:model,
author = {Tyson, Rebecca and Lubkin, S. R. and Murray, J. D.},
title = {Model and analysis of chemotactic bacterial patterns in a
liquid medium},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {38},
year = {1999},
number = {4},
pages = {359--375},
issn = {0303-6812},
mrclass = {92D25},
mrnumber = {1687391},
doi = {10.1007/s002850050153},
url = {https://doi.org/10.1007/s002850050153}
}
@Article{ tzanetis:96:asymptotic,
author = {Tzanetis, D. E.},
title = {Asymptotic behaviour and blow-up of some unbounded
solutions for a semilinear heat equation},
journal = {Proc. Edinburgh Math. Soc. (2)},
fjournal = {Proceedings of the Edinburgh Mathematical Society. Series
II},
volume = {39},
year = {1996},
number = {1},
pages = {81--96},
issn = {0013-0915},
mrclass = {35B40 (35K60)},
mrnumber = {1375669},
doi = {10.1017/S001309150002280X},
url = {https://doi.org/10.1017/S001309150002280X}
}
@Article{ tzvetkov.visciglia:14:invariant,
author = {Tzvetkov, Nikolay and Visciglia, Nicola},
title = {Invariant measures and long-time behavior for the
{B}enjamin-{O}no equation},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2014},
number = {17},
pages = {4679--4714},
issn = {1073-7928},
mrclass = {35Q53 (35A30 35B40)},
mrnumber = {3257548},
mrreviewer = {V. Oproiu},
doi = {10.1093/imrn/rnt094},
url = {https://doi.org/10.1093/imrn/rnt094}
}
@Article{ tzvetkov.visciglia:15:invariant,
author = {Tzvetkov, Nikolay and Visciglia, Nicola},
title = {Invariant measures and long time behaviour for the
{B}enjamin-{O}no equation {II}},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {103},
year = {2015},
number = {1},
pages = {102--141},
issn = {0021-7824},
mrclass = {37L40 (37K10)},
mrnumber = {3281949},
mrreviewer = {Naoyuki Ishimura},
doi = {10.1016/j.matpur.2014.03.009},
url = {https://doi.org/10.1016/j.matpur.2014.03.009}
}
@Article{ tzvetkov:08:invariant,
author = {Tzvetkov, Nikolay},
title = {Invariant measures for the defocusing nonlinear
{S}chr\"{o}dinger equation},
journal = {Ann. Inst. Fourier (Grenoble)},
fjournal = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
volume = {58},
year = {2008},
number = {7},
pages = {2543--2604},
issn = {0373-0956},
mrclass = {35Q55 (37K05 37L50)},
mrnumber = {2498359},
mrreviewer = {Enrique G. Reyes},
doi = {10.5802/aif.2422},
url = {https://doi.org/10.5802/aif.2422}
}
@Article{ tzvetkov:10:construction,
author = {Tzvetkov, N.},
title = {Construction of a {G}ibbs measure associated to the
periodic {B}enjamin-{O}no equation},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {146},
year = {2010},
number = {3-4},
pages = {481--514},
issn = {0178-8051},
mrclass = {35Q53 (35B10 37K10 60G15 76M35 82B05)},
mrnumber = {2574736},
mrreviewer = {Muthusamy Lakshmanan},
doi = {10.1007/s00440-008-0197-z},
url = {https://doi.org/10.1007/s00440-008-0197-z}
}
@Article{ u:60:new,
author = {U, Hou-sin{\cprime}},
title = {A new class of parabolic systems of equations},
journal = {Soviet Math. Dokl.},
fjournal = {Soviet Mathematics. Doklady},
volume = {1},
year = {1960},
pages = {945--948},
issn = {0197-6788},
mrclass = {35.63},
mrnumber = {0133600},
mrreviewer = {J. Douglas, Jr.}
}
@Book{ uchaikin.zolotarev:99:chance,
author = {Uchaikin, Vladimir V. and Zolotarev, Vladimir M.},
title = {Chance and stability},
series = {Modern Probability and Statistics},
note = {Stable distributions and their applications, With a
foreword by V. Yu. Korolev and Zolotarev},
publisher = {VSP, Utrecht},
year = {1999},
pages = {xxii+570},
isbn = {90-6764-301-7},
mrclass = {60-02 (60E07 60E10 60F05 60G15 60G50 60G52 62P99)},
mrnumber = {1745764},
mrreviewer = {Tomasz J. Kozubowski},
doi = {10.1515/9783110935974},
url = {https://doi.org/10.1515/9783110935974}
}
@Book{ uchaikin:13:fractional,
author = {Uchaikin, Vladimir V.},
title = {Fractional derivatives for physicists and engineers.
{V}olume {I}},
series = {Nonlinear Physical Science},
note = {Background and theory},
publisher = {Higher Education Press, Beijing; Springer, Heidelberg},
year = {2013},
pages = {xxii+385},
isbn = {978-7-04-032235-4; 978-3-642-33910-3; 978-3-642-33911-0},
mrclass = {26-01 (26A33 34A08 35R11 60G22)},
mrnumber = {3051754},
mrreviewer = {Paulius Mi\v{s}kinis},
doi = {10.1007/978-3-642-33911-0},
url = {https://doi.org/10.1007/978-3-642-33911-0}
}
@Article{ umarov.sauidamatov:07:generalization,
author = {Umarov, S. R. and Sau{i}damatov, \`E. M.},
title = {Generalization of the {D}uhamel principle for
fractional-order differential equations},
journal = {Dokl. Akad. Nauk},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Doklady Akademii Nauk},
volume = {412},
year = {2007},
number = {4},
pages = {463--465},
issn = {0869-5652},
mrclass = {35G10 (26A33 35A25)},
mrnumber = {2451337},
doi = {10.1134/S1064562407010267},
url = {https://doi.org/10.1134/S1064562407010267}
}
@Article{ umarov.saydamatov:06:fractional,
author = {Umarov, Sabir and Saydamatov, Erkin},
title = {A fractional analog of the {D}uhamel principle},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus \& Applied Analysis. An International
Journal for Theory and Applications},
volume = {9},
year = {2006},
number = {1},
pages = {57--70},
issn = {1311-0454},
mrclass = {26A33 (35S10)},
mrnumber = {2268228}
}
@Article{ umarov:12:on,
author = {Umarov, Sabir},
title = {On fractional {D}uhamel's principle and its applications},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {252},
year = {2012},
number = {10},
pages = {5217--5234},
issn = {0022-0396},
mrclass = {35R11},
mrnumber = {2902115},
mrreviewer = {Erwin Topp},
doi = {10.1016/j.jde.2012.01.029},
url = {https://doi.org/10.1016/j.jde.2012.01.029}
}
@Book{ ustunel.zakai:00:transformation,
author = {\"{U}st\"{u}nel, A. S\"{u}leyman and Zakai, Moshe},
title = {Transformation of measure on {W}iener space},
series = {Springer Monographs in Mathematics},
publisher = {Springer-Verlag, Berlin},
year = {2000},
pages = {xiv+296},
isbn = {3-540-66455-6},
mrclass = {60H07 (60H05)},
mrnumber = {1736980},
mrreviewer = {David Nualart},
doi = {10.1007/978-3-662-13225-8},
url = {https://doi.org/10.1007/978-3-662-13225-8}
}
@Article{ ustunel.zakai:89:on,
author = {\"{U}st\"{u}nel, Ali S\"{u}leyman and Zakai, Moshe},
title = {On independence and conditioning on {W}iener space},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {17},
year = {1989},
number = {4},
pages = {1441--1453},
issn = {0091-1798},
mrclass = {60H07},
mrnumber = {1048936},
mrreviewer = {David Nualart},
url = {http://links.jstor.org/sici?sici=0091-1798(198910)17:4<1441:OIACOW>2.0.CO;2-5&origin=MSN}
}
@InCollection{ ustunel:12:transportation,
author = {\"{U}st\"{u}nel, Ali Suleyman},
title = {Transportation cost inequalities for diffusions under
uniform distance},
booktitle = {Stochastic analysis and related topics},
series = {Springer Proc. Math. Stat.},
volume = {22},
pages = {203--214},
publisher = {Springer, Heidelberg},
year = {2012},
mrclass = {60J60 (60E15)},
mrnumber = {3236093},
doi = {10.1007/978-3-642-29982-7\_9},
url = {https://doi.org/10.1007/978-3-642-29982-7_9}
}
@Article{ ustunel:14:variational,
author = {\"{U}st\"{u}nel, Ali S\"{u}leyman},
title = {Variational calculation of {L}aplace transforms via
entropy on {W}iener space and applications},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {267},
year = {2014},
number = {8},
pages = {3058--3083},
issn = {0022-1236},
mrclass = {60H07 (49J55 58E50)},
mrnumber = {3255483},
mrreviewer = {Shi Zan Fang},
doi = {10.1016/j.jfa.2014.07.006},
url = {https://doi.org/10.1016/j.jfa.2014.07.006}
}
@Book{ ustunel:95:introduction,
author = {\"{U}st\"{u}nel, Ali S\"{u}leyman},
title = {An introduction to analysis on {W}iener space},
series = {Lecture Notes in Mathematics},
volume = {1610},
publisher = {Springer-Verlag, Berlin},
year = {1995},
pages = {x+95},
isbn = {3-540-60170-8},
mrclass = {60H07 (46F25 46G12 60H05)},
mrnumber = {1439752},
mrreviewer = {Daniel Ocone},
doi = {10.1007/BFb0096328},
url = {https://doi.org/10.1007/BFb0096328}
}
@Book{ vaart.wellner:96:weak,
author = {van der Vaart, Aad W. and Wellner, Jon A.},
title = {Weak convergence and empirical processes},
series = {Springer Series in Statistics},
note = {With applications to statistics},
publisher = {Springer-Verlag, New York},
year = {1996},
pages = {xvi+508},
isbn = {0-387-94640-3},
mrclass = {60F05 (60B12 62G30)},
mrnumber = {1385671},
mrreviewer = {Miguel A. Arcones},
doi = {10.1007/978-1-4757-2545-2},
url = {https://doi.org/10.1007/978-1-4757-2545-2}
}
@Article{ vaidya.tracy:78:crossover,
author = {Vaidya, H. G. and Tracy, C. A.},
title = {Crossover scaling function for the one-dimensional {$XY$}
model at zero temperature},
journal = {Phys. Lett. A},
fjournal = {Physics Letters. A},
volume = {68},
year = {1978},
number = {3-4},
pages = {378--380},
issn = {0375-9601},
mrclass = {82A68 (82A25)},
mrnumber = {603045},
doi = {10.1016/0375-9601(78)90537-6},
url = {https://doi.org/10.1016/0375-9601(78)90537-6}
}
@Article{ vaidya.tracy:78:transverse,
author = {Vaidya, Hemant G. and Tracy, Craig A.},
title = {Transverse time-dependent spin correlation functions for
the one-dimensional {$XY$} model at zero temperature},
journal = {Phys. A},
fjournal = {Physica A},
volume = {92},
year = {1978},
number = {1-2},
pages = {1--41},
issn = {0378-4371},
mrclass = {81.60},
mrnumber = {496182},
doi = {10.1016/0378-4371(78)90019-5},
url = {https://doi.org/10.1016/0378-4371(78)90019-5}
}
@Book{ val-kov:75:lektsii-po-osnovam-geometricheskogo-modelirovaniya,
author = {Val{\cprime}kov, K. I.},
title = {{\cyr Lektsii po osnovam geometricheskogo modelirovaniya}},
publisher = {Izdat. Leningrad. Univ., Leningrad},
year = {1975},
pages = {179 pp. (loose errata)},
mrclass = {50D15},
mrnumber = {461276},
mrreviewer = {L. Bitay}
}
@Article{ valizadeh.hamzehpour.ea:23:edwards-wilkinson,
author = "Valizadeh, N. and Hamzehpour, H. and Samadpour, M. and
Najafi, M. N.",
title = "Edwards--Wilkinson depinning transition in fractional
Brownian motion background",
journal = "Scientific Reports",
year = "2023",
month = "Jul",
day = "29",
volume = "13",
number = "1",
pages = "12300",
issn = "2045-2322",
doi = "10.1038/s41598-023-39191-6",
url = "https://doi.org/10.1038/s41598-023-39191-6"
}
@Article{ valko.virag:09:continuum,
author = {Valk\'{o}, Benedek and Vir\'{a}g, B\'{a}lint},
title = {Continuum limits of random matrices and the {B}rownian
carousel},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {177},
year = {2009},
number = {3},
pages = {463--508},
issn = {0020-9910},
mrclass = {60B20 (60G99)},
mrnumber = {2534097},
mrreviewer = {Ricardo Restrepo},
doi = {10.1007/s00222-009-0180-z},
url = {https://doi.org/10.1007/s00222-009-0180-z}
}
@Article{ valko.virag:10:large,
author = {Valk\'{o}, Benedek and Vir\'{a}g, B\'{a}lint},
title = {Large gaps between random eigenvalues},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {38},
year = {2010},
number = {3},
pages = {1263--1279},
issn = {0091-1798},
mrclass = {60B20 (15B52 60F10)},
mrnumber = {2674999},
mrreviewer = {Myl\`ene Ma\"{i}da},
doi = {10.1214/09-AOP508},
url = {https://doi.org/10.1214/09-AOP508}
}
@Book{ van-der-vaart:00:asymptotic,
title = {Asymptotic Statistics},
author = {Van der Vaart, Aad W},
year = {2000},
publisher = {Cambridge University Press}
}
@InCollection{ van-otterlo.wiering:12:reinforcement,
title = {Reinforcement learning and {Markov} decision processes},
author = {Van Otterlo, Martijn and Wiering, Marco},
booktitle = {Reinforcement Learning},
pages = {3--42},
year = {2012},
publisher = {Springer}
}
@Article{ varadarajan.dalang:18:srishti,
author = {Varadarajan, V. S. and Dalang, Robert C.},
title = {Srishti {D}har {C}hatterji (1935--2017): in memoriam},
journal = {Expo. Math.},
fjournal = {Expositiones Mathematicae},
volume = {36},
year = {2018},
number = {3-4},
pages = {231--252},
issn = {0723-0869},
mrclass = {01A70},
mrnumber = {3907329},
doi = {10.1016/j.exmath.2018.09.005},
url = {https://doi.org/10.1016/j.exmath.2018.09.005}
}
@Article{ varadhan.williams:85:brownian,
author = {Varadhan, S. R. S. and Williams, R. J.},
title = {Brownian motion in a wedge with oblique reflection},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {38},
year = {1985},
number = {4},
pages = {405--443},
issn = {0010-3640,1097-0312},
mrclass = {60J60},
mrnumber = {792398},
mrreviewer = {Naresh\ C.\ Jain},
doi = {10.1002/cpa.3160380405},
url = {https://doi.org/10.1002/cpa.3160380405}
}
@Article{ varadhan.yau:97:diffusive,
author = {Varadhan, S. R. S. and Yau, Horng-Tzer},
title = {Diffusive limit of lattice gas with mixing conditions},
journal = {Asian J. Math.},
fjournal = {Asian Journal of Mathematics},
volume = {1},
year = {1997},
number = {4},
pages = {623--678},
issn = {1093-6106,1945-0036},
mrclass = {60K35 (82C22)},
mrnumber = {1621569},
mrreviewer = {Claudio\ Landim},
doi = {10.4310/AJM.1997.v1.n4.a1},
url = {https://doi.org/10.4310/AJM.1997.v1.n4.a1}
}
@Book{ varadhan:01:probability,
author = {Varadhan, S. R. S.},
title = {Probability theory},
series = {Courant Lecture Notes in Mathematics},
volume = {7},
publisher = {New York University, Courant Institute of Mathematical
Sciences, New York; American Mathematical Society,
Providence, RI},
year = {2001},
pages = {viii+167},
isbn = {0-8218-2852-5},
mrclass = {60-01},
mrnumber = {1852999},
mrreviewer = {F.\ B.\ Knight},
doi = {10.1090/cln/007},
url = {https://doi.org/10.1090/cln/007}
}
@InCollection{ varadhan:03:large,
author = {Varadhan, S. R. S.},
title = {Large deviations for random walks in a random
environment},
note = {Dedicated to the memory of J\"{u}rgen K. Moser},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {56},
year = {2003},
number = {8},
pages = {1222--1245},
issn = {0010-3640},
mrclass = {60F10 (60K37)},
mrnumber = {1989232},
mrreviewer = {Ofer Zeitouni},
doi = {10.1002/cpa.10093},
url = {https://doi.org/10.1002/cpa.10093}
}
@InCollection{ varadhan:03:large*1,
author = {Varadhan, S. R. S.},
title = {Large deviations and entropy},
booktitle = {Entropy},
series = {Princeton Ser. Appl. Math.},
pages = {199--214},
publisher = {Princeton Univ. Press, Princeton, NJ},
year = {2003},
isbn = {0-691-11338-6},
mrclass = {60F10 (94A17)},
mrnumber = {2035822},
mrreviewer = {Rita\ Giuliano Antonini}
}
@InCollection{ varadhan:04:large,
author = {Varadhan, Srinivasa R. S.},
title = {Large deviations for the asymmetric simple exclusion
process},
booktitle = {Stochastic analysis on large scale interacting systems},
series = {Adv. Stud. Pure Math.},
volume = {39},
pages = {1--27},
publisher = {Math. Soc. Japan, Tokyo},
year = {2004},
mrclass = {60F10 (60K35 82C22 82C31)},
mrnumber = {2073328},
mrreviewer = {Boualem Djehiche},
doi = {10.2969/aspm/03910001},
url = {https://doi.org/10.2969/aspm/03910001}
}
@Book{ varadhan:07:stochastic,
author = {Varadhan, S. R. S.},
title = {Stochastic processes},
series = {Courant Lecture Notes in Mathematics},
volume = {16},
publisher = {Courant Institute of Mathematical Sciences, New York;
American Mathematical Society, Providence, RI},
year = {2007},
pages = {x+126},
isbn = {978-0-8218-4085-6},
mrclass = {60J25 (60-02 60H05 60J60 60J65)},
mrnumber = {2354349},
mrreviewer = {Isamu D\^{o}ku},
doi = {10.1090/cln/016},
url = {https://doi.org/10.1090/cln/016}
}
@Article{ varadhan:08:large,
author = {Varadhan, S. R. S.},
title = {Large deviations},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {36},
year = {2008},
number = {2},
pages = {397--419},
issn = {0091-1798,2168-894X},
mrclass = {60F10 (60K35 60K37 82B31 82C22)},
mrnumber = {2393987},
mrreviewer = {Dominique\ L\'epingle},
doi = {10.1214/07-AOP348},
url = {https://doi.org/10.1214/07-AOP348}
}
@Article{ varadhan:66:asymptotic,
author = {Varadhan, S. R. S.},
title = {Asymptotic probabilities and differential equations},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {19},
year = {1966},
pages = {261--286},
issn = {0010-3640,1097-0312},
mrclass = {35.06 (60.75)},
mrnumber = {203230},
mrreviewer = {H.\ P.\ McKean, Jr.},
doi = {10.1002/cpa.3160190303},
url = {https://doi.org/10.1002/cpa.3160190303}
}
@Article{ varadhan:67:diffusion,
author = {Varadhan, S. R. S.},
title = {Diffusion processes in a small time interval},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {20},
year = {1967},
pages = {659--685},
issn = {0010-3640,1097-0312},
mrclass = {60.62 (35.00)},
mrnumber = {217881},
mrreviewer = {H.\ P.\ McKean, Jr.},
doi = {10.1002/cpa.3160200404},
url = {https://doi.org/10.1002/cpa.3160200404}
}
@Article{ varadhan:67:on,
author = {Varadhan, S. R. S.},
title = {On the behavior of the fundamental solution of the heat
equation with variable coefficients},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {20},
year = {1967},
pages = {431--455},
issn = {0010-3640,1097-0312},
mrclass = {35.78},
mrnumber = {208191},
mrreviewer = {J.\ Cohen},
doi = {10.1002/cpa.3160200210},
url = {https://doi.org/10.1002/cpa.3160200210}
}
@Book{ varadhan:80:lectures,
author = {Varadhan, S. R. S.},
title = {Lectures on diffusion problems and partial differential
equations},
series = {Tata Institute of Fundamental Research Lectures on
Mathematics and Physics},
volume = {64},
note = {With notes by Pl. Muthuramalingam and Tara R. Nanda},
publisher = {Tata Institute of Fundamental Research, Bombay},
year = {1980},
pages = {iii+315},
isbn = {3-540-08773-7},
mrclass = {60J60 (60H10)},
mrnumber = {607678}
}
@Book{ varadhan:84:large,
author = {Varadhan, S. R. S.},
title = {Large deviations and applications},
series = {CBMS-NSF Regional Conference Series in Applied
Mathematics},
volume = {46},
publisher = {Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, PA},
year = {1984},
pages = {v+75},
isbn = {0-89871-189-4},
mrclass = {60F10 (60J25)},
mrnumber = {758258},
mrreviewer = {Fran\c cois\ Bronner},
doi = {10.1137/1.9781611970241.bm},
url = {https://doi.org/10.1137/1.9781611970241.bm}
}
@InCollection{ varadhan:88:large,
author = {Varadhan, Srinivasa R. S.},
title = {Large deviations and applications},
booktitle = {\'Ecole d'\'Et\'e{} de {P}robabilit\'es de {S}aint-{F}lour
{XV}--{XVII}, 1985--87},
series = {Lecture Notes in Math.},
volume = {1362},
pages = {1--49},
publisher = {Springer, Berlin},
year = {1988},
isbn = {3-540-50549-0},
mrclass = {60F10},
mrnumber = {983371},
mrreviewer = {Esa\ Nummelin},
doi = {10.1007/BFb0086178},
url = {https://doi.org/10.1007/BFb0086178}
}
@Article{ varadhan:91:scaling,
author = {Varadhan, S. R. S.},
title = {Scaling limits for interacting diffusions},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {135},
year = {1991},
number = {2},
pages = {313--353},
issn = {0010-3616,1432-0916},
mrclass = {60K35 (60J60 82C22)},
mrnumber = {1087387},
mrreviewer = {D.\ W.\ Stroock},
url = {http://projecteuclid.org/euclid.cmp/1104202029}
}
@InCollection{ varadhan:93:nonlinear,
author = {Varadhan, S. R. S.},
title = {Nonlinear diffusion limit for a system with nearest
neighbor interactions. {II}},
booktitle = {Asymptotic problems in probability theory: stochastic
models and diffusions on fractals ({S}anda/{K}yoto, 1990)},
series = {Pitman Res. Notes Math. Ser.},
volume = {283},
pages = {75--128},
publisher = {Longman Sci. Tech., Harlow},
year = {1993},
isbn = {0-582-08656-6},
mrclass = {60K35 (60J60)},
mrnumber = {1354152},
mrreviewer = {Ingemar\ Kaj}
}
@Article{ varadhan:95:self-diffusion,
author = {Varadhan, S. R. S.},
title = {Self-diffusion of a tagged particle in equilibrium for
asymmetric mean zero random walk with simple exclusion},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {31},
year = {1995},
number = {1},
pages = {273--285},
issn = {0246-0203},
mrclass = {60K35},
mrnumber = {1340041},
mrreviewer = {T. M. Liggett},
url = {http://www.numdam.org/item?id=AIHPB_1995__31_1_273_0}
}
@Article{ vargas.dao.ea:15:skew,
author = {Vargas, Vincent and Dao, Tung-Lam and Bouchaud,
Jean-Philippe},
title = {Skew and implied leverage effect: smile dynamics
revisited},
journal = {Int. J. Theor. Appl. Finance},
fjournal = {International Journal of Theoretical and Applied Finance},
volume = {18},
year = {2015},
number = {4},
pages = {1550022, 15},
issn = {0219-0249,1793-6322},
mrclass = {91G20},
mrnumber = {3358103},
mrreviewer = {George\ Stoica},
doi = {10.1142/S0219024915500223},
url = {https://doi.org/10.1142/S0219024915500223}
}
@Article{ vargas:06:local,
author = {Vargas, Vincent},
title = {A local limit theorem for directed polymers in random
media: the continuous and the discrete case},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {42},
year = {2006},
number = {5},
pages = {521--534},
issn = {0246-0203},
mrclass = {60K37 (60F05 82B44 82D60)},
mrnumber = {2259972},
mrreviewer = {Dimitris Cheliotis},
doi = {10.1016/j.anihpb.2005.08.002},
url = {https://doi.org/10.1016/j.anihpb.2005.08.002}
}
@Article{ vargas:07:strong,
author = {Vargas, Vincent},
title = {Strong localization and macroscopic atoms for directed
polymers},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {138},
year = {2007},
number = {3-4},
pages = {391--410},
issn = {0178-8051,1432-2064},
mrclass = {60K37},
mrnumber = {2299713},
mrreviewer = {Rongfeng\ Sun},
doi = {10.1007/s00440-006-0030-5},
url = {https://doi.org/10.1007/s00440-006-0030-5}
}
@InCollection{ vazquez:96:free,
author = {Vazquez, J. L.},
title = {The free boundary problem for the heat equation with fixed
gradient condition},
booktitle = {Free boundary problems, theory and applications
({Z}akopane, 1995)},
series = {Pitman Res. Notes Math. Ser.},
volume = {363},
pages = {277--302},
publisher = {Longman, Harlow},
year = {1996},
mrclass = {35R35 (76N10 76S05 80A20)},
mrnumber = {1462990},
mrreviewer = {Peter G. Danilaev}
}
@Article{ vazquez:99:domain,
author = {Vazquez, Juan Luis},
title = {Domain of existence and blowup for the exponential
reaction-diffusion equation},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {48},
year = {1999},
number = {2},
pages = {677--709},
issn = {0022-2518},
mrclass = {35K57 (34A12 35B05)},
mrnumber = {1722813},
mrreviewer = {L. Hsiao},
doi = {10.1512/iumj.1999.48.1581},
url = {https://doi.org/10.1512/iumj.1999.48.1581}
}
@Article{ velazquez.galaktionov.ea:91:space,
author = {Vel\'{a}zquez, J. J. L. and Galaktionov, V. A. and
Herrero, M. A.},
title = {The space structure near a blow-up point for semilinear
heat equations: a formal approach},
journal = {Zh. Vychisl. Mat. i Mat. Fiz.},
fjournal = {Akademiya Nauk SSSR. Zhurnal Vychislitel{\cprime}nou{i}
Matematiki i Matematicheskou{i} Fiziki},
volume = {31},
year = {1991},
number = {3},
pages = {399--411},
issn = {0044-4669},
mrclass = {35K55 (35B05)},
mrnumber = {1107061},
mrreviewer = {Zhen Chao Cao}
}
@Article{ velazquez:02:stability,
author = {Vel\'{a}zquez, J. J. L.},
title = {Stability of some mechanisms of chemotactic aggregation},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {62},
year = {2002},
number = {5},
pages = {1581--1633},
issn = {0036-1399},
mrclass = {35K57 (35B35 35B40 92B05)},
mrnumber = {1918569},
doi = {10.1137/S0036139900380049},
url = {https://doi.org/10.1137/S0036139900380049}
}
@Article{ velazquez:04:point,
author = {Vel\'{a}zquez, J. J. L.},
title = {Point dynamics in a singular limit of the {K}eller-{S}egel
model. {II}. {F}ormation of the concentration regions},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {64},
year = {2004},
number = {4},
pages = {1224--1248},
issn = {0036-1399},
mrclass = {35K45 (35B25 35B40 35Q80 92B05)},
mrnumber = {2068668},
mrreviewer = {Thomas P. Witelski},
doi = {10.1137/S003613990343389X},
url = {https://doi.org/10.1137/S003613990343389X}
}
@Article{ velazquez:04:point*1,
author = {Vel\'{a}zquez, J. J. L.},
title = {Point dynamics in a singular limit of the {K}eller-{S}egel
model. {I}. {M}otion of the concentration regions},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {64},
year = {2004},
number = {4},
pages = {1198--1223},
issn = {0036-1399},
mrclass = {35K45 (35B25 35B40 35Q80 92B05)},
mrnumber = {2068667},
mrreviewer = {Thomas P. Witelski},
doi = {10.1137/S0036139903433888},
url = {https://doi.org/10.1137/S0036139903433888}
}
@Article{ velazquez:93:classification,
author = {Vel\'{a}zquez, J. J. L.},
title = {Classification of singularities for blowing up solutions
in higher dimensions},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {338},
year = {1993},
number = {1},
pages = {441--464},
issn = {0002-9947},
mrclass = {35K60 (35A20 35B05)},
mrnumber = {1134760},
mrreviewer = {Song Mu Zheng},
doi = {10.2307/2154464},
url = {https://doi.org/10.2307/2154464}
}
@Article{ velazquez:93:estimates,
author = {Vel\'{a}zquez, J. J. L.},
title = {Estimates on the {$(n-1)$}-dimensional {H}ausdorff measure
of the blow-up set for a semilinear heat equation},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {42},
year = {1993},
number = {2},
pages = {445--476},
issn = {0022-2518},
mrclass = {35B40 (35K55)},
mrnumber = {1237055},
mrreviewer = {Song Mu Zheng},
doi = {10.1512/iumj.1993.42.42021},
url = {https://doi.org/10.1512/iumj.1993.42.42021}
}
@Article{ velazquez:97:cusp,
author = {Vel\'{a}zquez, Juan J. L.},
title = {Cusp formation for the undercooled {S}tefan problem in two
and three dimensions},
journal = {European J. Appl. Math.},
fjournal = {European Journal of Applied Mathematics},
volume = {8},
year = {1997},
number = {1},
pages = {1--21},
issn = {0956-7925},
mrclass = {80A22},
mrnumber = {1431410},
mrreviewer = {Weiqing Xie},
doi = {10.1017/S0956792596002902},
url = {https://doi.org/10.1017/S0956792596002902}
}
@Article{ venakides.deift.ea:91:toda,
author = {Venakides, Stephanos and Deift, Percy and Oba, Roger},
title = {The {T}oda shock problem},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {44},
year = {1991},
number = {8-9},
pages = {1171--1242},
issn = {0010-3640,1097-0312},
mrclass = {35Q53 (34K25 34K99 70K99)},
mrnumber = {1127056},
mrreviewer = {C.\ Tomei},
doi = {10.1002/cpa.3160440823},
url = {https://doi.org/10.1002/cpa.3160440823}
}
@Article{ veraar.weis:11:note,
author = {Veraar, Mark and Weis, Lutz},
title = {A note on maximal estimates for stochastic convolutions},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {61(136)},
year = {2011},
number = {3},
pages = {743--758},
issn = {0011-4642,1572-9141},
mrclass = {60H15 (35B65 35R60 46B09 47D06)},
mrnumber = {2853088},
mrreviewer = {Feng-Yu\ Wang},
doi = {10.1007/s10587-011-0023-0},
url = {https://doi.org/10.1007/s10587-011-0023-0}
}
@Article{ veraar.yaroslavtsev:16:cylindrical,
author = {Veraar, Mark and Yaroslavtsev, Ivan},
title = {Cylindrical continuous martingales and stochastic
integration in infinite dimensions},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {21},
year = {2016},
pages = {Paper No. 59, 53},
issn = {1083-6489},
mrclass = {60H05 (60B11 60G44 60H15)},
mrnumber = {3563887},
mrreviewer = {Martin\ Ondrej\'at},
doi = {10.1214/16-EJP7},
url = {https://doi.org/10.1214/16-EJP7}
}
@Article{ veraar.zimmerschied:08:non-autonomous,
author = {Veraar, Mark and Zimmerschied, Jan},
title = {Non-autonomous stochastic {C}auchy problems in {B}anach
spaces},
journal = {Studia Math.},
fjournal = {Studia Mathematica},
volume = {185},
year = {2008},
number = {1},
pages = {1--34},
issn = {0039-3223,1730-6337},
mrclass = {60H15 (34A60 34F05 35R60 47D06 47N20)},
mrnumber = {2379996},
mrreviewer = {Bernhard\ H.\ Haak},
doi = {10.4064/sm185-1-1},
url = {https://doi.org/10.4064/sm185-1-1}
}
@Article{ veraar:09:correlation,
author = {Veraar, Mark},
title = {Correlation inequalities and applications to vector-valued
{G}aussian random variables and fractional {B}rownian
motion},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {30},
year = {2009},
number = {4},
pages = {341--370},
issn = {0926-2601,1572-929X},
mrclass = {60G15 (60B11 60B12 60E15)},
mrnumber = {2491457},
doi = {10.1007/s11118-009-9118-8},
url = {https://doi.org/10.1007/s11118-009-9118-8}
}
@Article{ veraar:10:non-autonomous,
author = {Veraar, Mark C.},
title = {Non-autonomous stochastic evolution equations and
applications to stochastic partial differential equations},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {10},
year = {2010},
number = {1},
pages = {85--127},
issn = {1424-3199,1424-3202},
mrclass = {60H15 (35R60 47D06 47N20)},
mrnumber = {2602928},
doi = {10.1007/s00028-009-0041-7},
url = {https://doi.org/10.1007/s00028-009-0041-7}
}
@InCollection{ veraar:11:regularity,
author = {Veraar, Mark C.},
title = {Regularity of {G}aussian white noise on the
{$d$}-dimensional torus},
booktitle = {Marcinkiewicz centenary volume},
series = {Banach Center Publ.},
volume = {95},
pages = {385--398},
publisher = {Polish Acad. Sci. Inst. Math., Warsaw},
year = {2011},
isbn = {978-83-86806-14-0},
mrclass = {60G15 (46E35 60G17 60H40)},
mrnumber = {2918350},
mrreviewer = {David\ Applebaum},
doi = {10.4064/bc95-0-24},
url = {https://doi.org/10.4064/bc95-0-24}
}
@Article{ veraar:12:stochastic,
author = {Veraar, Mark},
title = {The stochastic {F}ubini theorem revisited},
journal = {Stochastics},
fjournal = {Stochastics. An International Journal of Probability and
Stochastic Processes},
volume = {84},
year = {2012},
number = {4},
pages = {543--551},
issn = {1744-2508,1744-2516},
mrclass = {60H05},
mrnumber = {2966093},
mrreviewer = {Maria\ Jolis},
doi = {10.1080/17442508.2011.618883},
url = {https://doi.org/10.1080/17442508.2011.618883}
}
@InCollection{ verbaarschot:11:quantum,
author = {Verbaarschot, J. J. M.},
title = {Quantum chromodynamics},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {661--682},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {81V05 (15B52 60B20)},
mrnumber = {2932652},
mrreviewer = {Marco Frasca}
}
@Article{ verchota:84:layer,
author = {Verchota, Gregory},
title = {Layer potentials and regularity for the {D}irichlet
problem for {L}aplace's equation in {L}ipschitz domains},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {59},
year = {1984},
number = {3},
pages = {572--611},
issn = {0022-1236},
mrclass = {35J05 (31A25)},
mrnumber = {769382},
mrreviewer = {Yves Meyer},
doi = {10.1016/0022-1236(84)90066-1},
url = {https://doi.org/10.1016/0022-1236(84)90066-1}
}
@InCollection{ vernizzi.orland:11:random,
author = {Vernizzi, Graziano and Orland, Henri},
title = {Random matrix theory and ribonucleic acid ({RNA})
folding},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {873--897},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {15B52 (60B20 92D20)},
mrnumber = {2932662}
}
@Article{ vershik.bourgain.ea:07:mathematical,
author = {Vershik, A. M. and Bourgain, Jean and Kesten, Harry and
Reshetikhin, Nicolai},
title = {The mathematical work of the 2006 {F}ields medalists},
journal = {Notices Amer. Math. Soc.},
fjournal = {Notices of the American Mathematical Society},
volume = {54},
year = {2007},
number = {3},
pages = {388--404},
issn = {0002-9920,1088-9477},
mrclass = {00A99},
mrnumber = {2292144}
}
@Article{ vershik.zeitouni:99:large,
author = {Vershik, A. and Zeitouni, O.},
title = {Large deviations in the geometry of convex lattice
polygons},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {109},
year = {1999},
pages = {13--27},
issn = {0021-2172,1565-8511},
mrclass = {52A22 (60F10)},
mrnumber = {1679585},
mrreviewer = {Charles\ M.\ Goldie},
doi = {10.1007/BF02775023},
url = {https://doi.org/10.1007/BF02775023}
}
@Book{ vershynin:18:high-dimensional,
author = {Vershynin, Roman},
title = {High-dimensional probability},
series = {Cambridge Series in Statistical and Probabilistic
Mathematics},
volume = {47},
note = {An introduction with applications in data science, With a
foreword by Sara van de Geer},
publisher = {Cambridge University Press, Cambridge},
year = {2018},
pages = {xiv+284},
isbn = {978-1-108-41519-4},
mrclass = {60-01 (60B05 60B20 60E15 60Fxx 62H25)},
mrnumber = {3837109},
mrreviewer = {Sasha Sodin},
doi = {10.1017/9781108231596},
url = {https://doi.org/10.1017/9781108231596}
}
@Article{ vicsek.czirok.ea:95:novel,
author = {Vicsek, Tam\'{a}s and Czir\'{o}k, Andr\'{a}s and
Ben-Jacob, Eshel and Cohen, Inon and Shochet, Ofer},
title = {Novel type of phase transition in a system of self-driven
particles},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {75},
year = {1995},
number = {6},
pages = {1226--1229},
issn = {0031-9007},
mrclass = {82C22 (39A60 82C26 82C27 82C70 92D50)},
mrnumber = {3363421},
doi = {10.1103/PhysRevLett.75.1226},
url = {https://doi.org/10.1103/PhysRevLett.75.1226}
}
@Article{ viens.zhang:08:almost,
author = {Viens, Frederi G. and Zhang, Tao},
title = {Almost sure exponential behavior of a directed polymer in
a fractional {B}rownian environment},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {255},
year = {2008},
number = {10},
pages = {2810--2860},
issn = {0022-1236},
mrclass = {60K37 (82D60)},
mrnumber = {2464192},
doi = {10.1016/j.jfa.2008.06.020},
url = {https://doi.org/10.1016/j.jfa.2008.06.020}
}
@Article{ viens:09:steins,
author = {Viens, Frederi G.},
title = {Stein's lemma, {M}alliavin calculus, and tail bounds, with
application to polymer fluctuation exponent},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {10},
pages = {3671--3698},
issn = {0304-4149},
mrclass = {60H07 (60G15 60K37 82D60)},
mrnumber = {2568291},
doi = {10.1016/j.spa.2009.07.002},
url = {https://doi.org/10.1016/j.spa.2009.07.002}
}
@Article{ viglialoro.woolley:18:boundedness,
author = {Viglialoro, Giuseppe and Woolley, Thomas E.},
title = {Boundedness in a parabolic-elliptic chemotaxis system with
nonlinear diffusion and sensitivity and logistic source},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {41},
year = {2018},
number = {5},
pages = {1809--1824},
issn = {0170-4214},
mrclass = {92C17 (35A01 35B40 35K59 35M33 35Q92)},
mrnumber = {3778089},
mrreviewer = {Si Ning Zheng},
doi = {10.1002/mma.4707},
url = {https://doi.org/10.1002/mma.4707}
}
@Article{ viglialoro.woolley:20:solvability,
author = {Viglialoro, Giuseppe and Woolley, Thomas E.},
title = {Solvability of a {K}eller-{S}egel system with
signal-dependent sensitivity and essentially sublinear
production},
journal = {Appl. Anal.},
fjournal = {Applicable Analysis. An International Journal},
volume = {99},
year = {2020},
number = {14},
pages = {2507--2525},
issn = {0003-6811},
mrclass = {35Q92 (35A01 35K55 35M33 92C17)},
mrnumber = {4151490},
mrreviewer = {Corina-\c{S}tefania Drapaca},
doi = {10.1080/00036811.2019.1569227},
url = {https://doi.org/10.1080/00036811.2019.1569227}
}
@Article{ viglialoro:16:very,
author = {Viglialoro, G.},
title = {Very weak global solutions to a parabolic-parabolic
chemotaxis-system with logistic source},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {439},
year = {2016},
number = {1},
pages = {197--212},
issn = {0022-247X},
mrclass = {35K51 (35D30 35Q92 92C17)},
mrnumber = {3474358},
mrreviewer = {Marcone C. Pereira},
doi = {10.1016/j.jmaa.2016.02.069},
url = {https://doi.org/10.1016/j.jmaa.2016.02.069}
}
@Book{ vilenkin:68:special,
author = {Vilenkin, N. Ja.},
title = {Special functions and the theory of group
representations},
series = {Translations of Mathematical Monographs, Vol. 22},
note = {Translated from the Russian by V. N. Singh},
publisher = {American Mathematical Society, Providence, RI},
year = {1968},
pages = {x+613},
mrclass = {33.00 (22.00)},
mrnumber = {229863}
}
@Article{ vincent.mason:69:disconnected,
author = {Vincent, Thomas L. and Mason, Joseph D.},
title = {Disconnected optimal trajectories},
journal = {J. Optim. Theory Appl.},
fjournal = {Journal of Optimization Theory and Applications},
volume = {3},
year = {1969},
pages = {263--281},
issn = {0022-3239},
mrclass = {49.20},
mrnumber = {246185},
mrreviewer = {G. M. Ewing},
doi = {10.1007/BF00926527},
url = {https://doi.org/10.1007/BF00926527}
}
@Article{ vinckenbosch.lacaux.ea:15:monte,
author = {Vinckenbosch, Laura and Lacaux, C\'{e}line and Tindel,
Samy and Thomassin, Magalie and Obara, Tiphaine},
title = {Monte {C}arlo methods for light propagation in biological
tissues},
journal = {Math. Biosci.},
fjournal = {Mathematical Biosciences},
volume = {269},
year = {2015},
pages = {48--60},
issn = {0025-5564},
mrclass = {78M31 (60J20 65C05)},
mrnumber = {3407545},
doi = {10.1016/j.mbs.2015.08.017},
url = {https://doi.org/10.1016/j.mbs.2015.08.017}
}
@InCollection{ viot:75:equations,
author = {Viot, Michel},
title = {\'{E}quations aux d\'{e}riv\'{e}es partielles
stochastiques: formulation faible},
booktitle = {S\'{e}minaire sur les \'{E}quations aux {D}\'{e}riv\'{e}es
{P}artielles (1974--1975), {III}, {E}xp. {N}o. 1},
pages = {16},
publisher = {Coll\`ege de France, Paris},
year = {1975},
mrclass = {35R99 (60H15)},
mrnumber = {0610619}
}
@Article{ virag:20:heat,
title = {The heat and the landscape I},
author = {Balint Virag},
year = {2020},
month = {August},
journal = {Preprint arXiv:2008.07241},
url = {http://arXiv.org/abs/2008.07241}
}
@Article{ visan:07:defocusing,
author = {Visan, Monica},
title = {The defocusing energy-critical nonlinear {S}chr\"{o}dinger
equation in higher dimensions},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {138},
year = {2007},
number = {2},
pages = {281--374},
issn = {0012-7094},
mrclass = {35Q55 (35B30 35P25)},
mrnumber = {2318286},
mrreviewer = {Tohru Ozawa},
doi = {10.1215/S0012-7094-07-13825-0},
url = {https://doi.org/10.1215/S0012-7094-07-13825-0}
}
@Article{ vogel.zeitouni:21:deterministic,
author = {Vogel, Martin and Zeitouni, Ofer},
title = {Deterministic equivalence for noisy perturbations},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {149},
year = {2021},
number = {9},
pages = {3905--3911},
issn = {0002-9939,1088-6826},
mrclass = {35P20 (60B20)},
mrnumber = {4291588},
doi = {10.1090/proc/15499},
url = {https://doi.org/10.1090/proc/15499}
}
@Article{ voiculescu:91:limit,
author = {Voiculescu, Dan},
title = {Limit laws for random matrices and free products},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {104},
year = {1991},
number = {1},
pages = {201--220},
issn = {0020-9910},
mrclass = {46L50 (60F99)},
mrnumber = {1094052},
mrreviewer = {Sh. A. Ayupov},
doi = {10.1007/BF01245072},
url = {https://doi.org/10.1007/BF01245072}
}
@Book{ volkenshtein:63:configurational,
title = {Configurational statistics of polymeric chains},
author = {Volkenshtein, Mikhail Vladimirovich},
volume = {17},
year = {1963},
publisher = {Interscience Publishers}
}
@InCollection{ volkmer:10:lame,
author = {Volkmer, H.},
title = {Lam\'{e} functions},
booktitle = {N{IST} handbook of mathematical functions},
pages = {683--695},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33E10},
mrnumber = {2655369}
}
@Article{ volkonskiui.rozanov:59:some,
author = {Volkonskiu{i}, V. A. and Rozanov, Yu. A.},
title = {Some limit theorems for random functions. {I}},
journal = {Theor. Probability Appl.},
fjournal = {Theory of Probability and its Applications},
volume = {4},
year = {1959},
pages = {178--197},
issn = {0040-585X},
mrclass = {60.00},
mrnumber = {121856},
doi = {10.1137/1104015},
url = {https://doi.org/10.1137/1104015}
}
@Article{ volpert.vougalter:14:existence,
author = {Volpert, Vitaly and Vougalter, Vitali},
title = {Existence of stationary pulses for nonlocal
reaction-diffusion equations},
journal = {Doc. Math.},
fjournal = {Documenta Mathematica},
volume = {19},
year = {2014},
pages = {1141--1153},
issn = {1431-0635},
mrclass = {35K57 (35A16 35B32 35R10 92D15 92D25)},
mrnumber = {3291644},
mrreviewer = {Peter L. Simon}
}
@Book{ volpert:14:elliptic,
author = {Volpert, Vitaly},
title = {Elliptic partial differential equations. {V}ol. 2},
series = {Monographs in Mathematics},
volume = {104},
note = {Reaction-diffusion equations},
publisher = {Birkh\"{a}user/Springer Basel AG, Basel},
year = {2014},
pages = {xviii+784},
isbn = {978-3-0348-0812-5; 978-3-0348-0813-2},
mrclass = {35-02 (35Jxx 35K57 46Exx 47A53 92C30 92D25 92E20)},
mrnumber = {3308135},
mrreviewer = {Vicen\c{t}iu D. Ru{a}dulescu},
doi = {10.1007/978-3-0348-0813-2},
url = {https://doi.org/10.1007/978-3-0348-0813-2}
}
@Article{ voroshilov.kilbas:06:cauchy,
author = {Voroshilov, A. A. and Kilbas, A. A.},
title = {The {C}auchy problem for a diffusion-wave equation with
the {C}aputo partial derivative},
journal = {Differ. Uravn.},
fjournal = {Differentsial{\cprime}nye Uravneniya},
volume = {42},
year = {2006},
number = {5},
pages = {599--609, 717},
issn = {0374-0641},
mrclass = {35L15 (26A33 35-04 35C05 65M99)},
mrnumber = {2292158},
doi = {10.1134/S0012266106050041},
url = {https://doi.org/10.1134/S0012266106050041}
}
@Article{ voroshilov.kilbas:06:cauchy-type,
author = {Voroshilov, A. A. and Kilbas, A. A.},
title = {A {C}auchy-type problem for a diffusion-wave equation with
a {R}iemann-{L}iouville partial derivative},
journal = {Dokl. Akad. Nauk},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Doklady Akademii Nauk},
volume = {406},
year = {2006},
number = {1},
pages = {12--16},
issn = {0869-5652},
mrclass = {35L15 (26A33)},
mrnumber = {2256848}
}
@Article{ wachter:78:strong,
author = {Wachter, Kenneth W.},
title = {The strong limits of random matrix spectra for sample
matrices of independent elements},
journal = {Ann. Probability},
fjournal = {The Annals of Probability},
volume = {6},
year = {1978},
number = {1},
pages = {1--18},
issn = {0091-1798},
mrclass = {60F15},
mrnumber = {467894},
mrreviewer = {V. L. Girko},
doi = {10.1214/aop/1176995607},
url = {https://doi.org/10.1214/aop/1176995607}
}
@InProceedings{ wagner.willhalm:03:geometric,
title = {Geometric speed-up techniques for finding shortest paths
in large sparse graphs},
author = {Wagner, Dorothea and Willhalm, Thomas},
booktitle = {European Symposium on Algorithms},
pages = {776--787},
year = {2003},
organization = {Springer}
}
@Book{ wainwright:19:high-dimensional,
author = {Wainwright, Martin J.},
title = {High-dimensional statistics},
series = {Cambridge Series in Statistical and Probabilistic
Mathematics},
volume = {48},
note = {A non-asymptotic viewpoint},
publisher = {Cambridge University Press, Cambridge},
year = {2019},
pages = {xvii+552},
isbn = {978-1-108-49802-9},
mrclass = {62-01 (60B20 60E15 60Fxx 62Gxx 62Hxx 62Jxx)},
mrnumber = {3967104},
mrreviewer = {Pierre Alquier},
doi = {10.1017/9781108627771},
url = {https://doi.org/10.1017/9781108627771}
}
@Book{ walker:96:elliptic,
author = {Walker, Peter L.},
title = {Elliptic functions},
note = {A constructive approach},
publisher = {John Wiley \& Sons, Ltd., Chichester},
year = {1996},
pages = {xvi+214},
isbn = {0-471-96531-6},
mrclass = {33E05 (11F11 11F20 11G05)},
mrnumber = {1435743},
mrreviewer = {Glenn Stevens}
}
@Article{ walsh:74:exact,
author = {Walsh, John E.},
title = {Exact investigation of all effects for extensions of
one-way {ANOVA} model with random effects},
journal = {Ann. Inst. Statist. Math.},
fjournal = {Annals of the Institute of Statistical Mathematics},
volume = {26},
year = {1974},
pages = {147--152},
issn = {0020-3157},
mrclass = {62J10},
mrnumber = {353589},
mrreviewer = {D. V. Chopra},
doi = {10.1007/BF02479810},
url = {https://doi.org/10.1007/BF02479810}
}
@InCollection{ walsh:86:introduction,
author = {Walsh, John B.},
title = {An introduction to stochastic partial differential
equations},
booktitle = {\'{E}cole d'\'{e}t\'{e} de probabilit\'{e}s de
{S}aint-{F}lour, {XIV}---1984},
series = {Lecture Notes in Math.},
volume = {1180},
pages = {265--439},
publisher = {Springer, Berlin},
year = {1986},
mrclass = {60H15 (35R60 60G20 60J80)},
mrnumber = {876085},
mrreviewer = {Luis G. Gorostiza},
doi = {10.1007/BFb0074920},
url = {https://doi.org/10.1007/BFb0074920}
}
@Book{ walter:64:differential-,
author = {Walter, Wolfgang},
title = {Differential- und {I}ntegral-{U}ngleichungen und ihre
{A}nwendung bei {A}bsch\"{a}tzungs- und
{E}indeutigkeits-problemen},
series = {Springer Tracts in Natural Philosophy, Vol. 2},
publisher = {Springer-Verlag, Berlin-New York},
year = {1964},
pages = {xiii+269},
mrclass = {45.00},
mrnumber = {172076},
mrreviewer = {C. Corduneanu}
}
@Book{ walter:70:differential,
author = {Walter, Wolfgang},
title = {Differential and integral inequalities},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band
55},
note = {Translated from the German by Lisa Rosenblatt and Lawrence
Shampine},
publisher = {Springer-Verlag, New York-Berlin},
year = {1970},
pages = {x+352},
mrclass = {34.90 (35.00)},
mrnumber = {0271508}
}
@Book{ walters:82:introduction,
author = {Walters, Peter},
title = {An introduction to ergodic theory},
series = {Graduate Texts in Mathematics},
volume = {79},
publisher = {Springer-Verlag, New York-Berlin},
year = {1982},
pages = {ix+250},
isbn = {0-387-90599-5},
mrclass = {28Dxx (54H20 58F11)},
mrnumber = {648108},
mrreviewer = {M. A. Akcoglu}
}
@Article{ wang.banks:11:network,
title = {Network routing for insurgency: An adversarial risk
analysis framework},
author = {Wang, Shouqiang and Banks, David},
journal = {Naval Research Logistics (NRL)},
volume = {58},
number = {6},
pages = {595--607},
year = {2011},
publisher = {Wiley Online Library}
}
@Article{ wang.hillen:07:classical,
author = {Wang, Zhian and Hillen, Thomas},
title = {Classical solutions and pattern formation for a volume
filling chemotaxis model},
journal = {Chaos},
fjournal = {Chaos. An Interdisciplinary Journal of Nonlinear Science},
volume = {17},
year = {2007},
number = {3},
pages = {037108, 13},
issn = {1054-1500},
mrclass = {35K57 (35K45 37L10 37N25 92C17)},
mrnumber = {2356982},
doi = {10.1063/1.2766864},
url = {https://doi.org/10.1063/1.2766864}
}
@Article{ wang.hillen:08:shock,
author = {Wang, Zhian and Hillen, Thomas},
title = {Shock formation in a chemotaxis model},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {31},
year = {2008},
number = {1},
pages = {45--70},
issn = {0170-4214},
mrclass = {35L67 (35B40 35K57 35L70 35Q51 92C17)},
mrnumber = {2373922},
mrreviewer = {Narcisa C. Apreutesei},
doi = {10.1002/mma.898},
url = {https://doi.org/10.1002/mma.898}
}
@Article{ wang.li.ea:14:boundedness,
author = {Wang, Liangchen and Li, Yuhuan and Mu, Chunlai},
title = {Boundedness in a parabolic-parabolic quasilinear
chemotaxis system with logistic source},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {34},
year = {2014},
number = {2},
pages = {789--802},
issn = {1078-0947},
mrclass = {35K51 (35A01 35A02 35A09 92C17)},
mrnumber = {3094606},
doi = {10.3934/dcds.2014.34.789},
url = {https://doi.org/10.3934/dcds.2014.34.789}
}
@Article{ wang.li.ea:19:supercritical,
author = {Wang, Jinhuan and Li, Yue and Chen, Li},
title = {Supercritical degenerate parabolic--parabolic
{K}eller-{S}egel system: existence criterion given by the
best constant in {S}obolev's inequality},
journal = {Z. Angew. Math. Phys.},
fjournal = {Zeitschrift f\"{u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics. Journal
de Math\'{e}matiques et de Physique Appliqu\'{e}es},
volume = {70},
year = {2019},
number = {3},
pages = {Paper No. 71, 18},
issn = {0044-2275},
mrclass = {35K45 (35B44 35K59 35K65)},
mrnumber = {3937932},
mrreviewer = {Hongwei Chen},
doi = {10.1007/s00033-019-1115-1},
url = {https://doi.org/10.1007/s00033-019-1115-1}
}
@Article{ wang.mu.ea:14:on,
author = {Wang, Liangchen and Mu, Chunlai and Zheng, Pan},
title = {On a quasilinear parabolic-elliptic chemotaxis system with
logistic source},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {256},
year = {2014},
number = {5},
pages = {1847--1872},
issn = {0022-0396},
mrclass = {35M33 (35A01 35A02 35A09 35B40 35Q92 92C17)},
mrnumber = {3147229},
mrreviewer = {Piotr Biler},
doi = {10.1016/j.jde.2013.12.007},
url = {https://doi.org/10.1016/j.jde.2013.12.007}
}
@Article{ wang.su.ea:20:moduli,
author = {Wang, Wensheng and Su, Zhonggen and Xiao, Yimin},
title = {The moduli of non-differentiability for {G}aussian random
fields with stationary increments},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {26},
year = {2020},
number = {2},
pages = {1410--1430},
issn = {1350-7265,1573-9759},
mrclass = {60G15 (60G17 60G22 60G60)},
mrnumber = {4058372},
mrreviewer = {Anatoliy\ Malyarenko},
doi = {10.3150/19-BEJ1162},
url = {https://doi.org/10.3150/19-BEJ1162}
}
@Article{ wang.su.ea:20:on,
author = {Wang, Wen Sheng and Su, Zhong Gen and Xiao, Yi Min},
title = {On global and local properties of the trajectories of
{G}aussian random fields---a look through the set of limit
points},
journal = {Acta Math. Sin. (Engl. Ser.)},
fjournal = {Acta Mathematica Sinica (English Series)},
volume = {36},
year = {2020},
number = {2},
pages = {137--152},
issn = {1439-8516,1439-7617},
mrclass = {60F10 (60F15 60G15 60G17 60G22 60G60)},
mrnumber = {4046997},
mrreviewer = {Anatoliy\ Malyarenko},
doi = {10.1007/s10114-020-9083-0},
url = {https://doi.org/10.1007/s10114-020-9083-0}
}
@Article{ wang.wang:19:boundedness,
author = {Wang, Jianping and Wang, Mingxin},
title = {Boundedness in the higher-dimensional {K}eller-{S}egel
model with signal-dependent motility and logistic growth},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {60},
year = {2019},
number = {1},
pages = {011507, 14},
issn = {0022-2488},
mrclass = {35K51 (35A01 35B44 35K59)},
mrnumber = {3899907},
doi = {10.1063/1.5061738},
url = {https://doi.org/10.1063/1.5061738}
}
@Article{ wang.winkler.ea:18:global,
author = {Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin},
title = {Global classical solutions in a two-dimensional
chemotaxis-{N}avier-{S}tokes system with subcritical
sensitivity},
journal = {Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie V},
volume = {18},
year = {2018},
number = {2},
pages = {421--466},
issn = {0391-173X},
mrclass = {92C17 (35B65 35Q35)},
mrnumber = {3801284},
mrreviewer = {Tomasz Cie\'{s}lak},
doi = {10.2422/2036-2145.201603\_004},
url = {https://doi.org/10.2422/2036-2145.201603_004}
}
@Article{ wang.winkler.ea:19:fast,
author = {Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin},
title = {The fast signal diffusion limit in
{K}eller-{S}egel(-fluid) systems},
journal = {Calc. Var. Partial Differential Equations},
fjournal = {Calculus of Variations and Partial Differential
Equations},
volume = {58},
year = {2019},
number = {6},
pages = {Paper No. 196, 40},
issn = {0944-2669},
mrclass = {92C17 (35K51 35Q35 76D05)},
mrnumber = {4029724},
doi = {10.1007/s00526-019-1656-3},
url = {https://doi.org/10.1007/s00526-019-1656-3}
}
@Article{ wang.xiang:16:global,
author = {Wang, Yulan and Xiang, Zhaoyin},
title = {Global existence and boundedness in a
{K}eller-{S}egel-{S}tokes system involving a tensor-valued
sensitivity with saturation: the 3{D} case},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {261},
year = {2016},
number = {9},
pages = {4944--4973},
issn = {0022-0396},
mrclass = {35Q35 (35A01 35B45 35Q92 92C17)},
mrnumber = {3542964},
doi = {10.1016/j.jde.2016.07.010},
url = {https://doi.org/10.1016/j.jde.2016.07.010}
}
@Article{ wang.xiao:19:csorgo-revesz,
author = {Wang, Wensheng and Xiao, Yimin},
title = {The {C}s\"{o}rg\H{o}-{R}\'{e}v\'{e}sz moduli of
non-differentiability of fractional {B}rownian motion},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {150},
year = {2019},
pages = {81--87},
issn = {0167-7152,1879-2103},
mrclass = {60G15 (60F10 60F15 60G17)},
mrnumber = {3924525},
mrreviewer = {M.\ Cs\"{o}rg\H{o}},
doi = {10.1016/j.spl.2019.02.016},
url = {https://doi.org/10.1016/j.spl.2019.02.016}
}
@Article{ wang.xiao:22:exact,
author = {Wang, Ran and Xiao, Yimin},
title = {Exact uniform modulus of continuity and {C}hung's {LIL}
for the generalized fractional {B}rownian motion},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {35},
year = {2022},
number = {4},
pages = {2442--2479},
issn = {0894-9840,1572-9230},
mrclass = {60G15 (60F15 60G17 60G18 60G22)},
mrnumber = {4509074},
mrreviewer = {Mikhail\ A.\ Lifshits},
doi = {10.1007/s10959-021-01148-8},
url = {https://doi.org/10.1007/s10959-021-01148-8}
}
@Article{ wang.xiao:22:lower,
author = {Wang, Ran and Xiao, Yimin},
title = {Lower functions and {C}hung's {LIL}s of the generalized
fractional {B}rownian motion},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {514},
year = {2022},
number = {2},
pages = {Paper No. 126320, 31},
issn = {0022-247X,1096-0813},
mrclass = {60G22 (60G15)},
mrnumber = {4426115},
mrreviewer = {Mounir\ Zili},
doi = {10.1016/j.jmaa.2022.126320},
url = {https://doi.org/10.1016/j.jmaa.2022.126320}
}
@Article{ wang.yang.ea:21:reflected,
author = {Wang, Chen and Yang, Saisai and Zhang, Tusheng},
title = {Reflected {B}rownian motion with singular drift},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {27},
year = {2021},
number = {2},
pages = {866--898},
issn = {1350-7265},
mrclass = {60J65 (60H10)},
mrnumber = {4255219},
doi = {10.3150/20-bej1258},
url = {https://doi.org/10.3150/20-bej1258}
}
@Article{ wang.zhai.ea:15:moderate,
author = {Wang, Ran and Zhai, Jianliang and Zhang, Tusheng},
title = {A moderate deviation principle for 2-{D} stochastic
{N}avier-{S}tokes equations},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {258},
year = {2015},
number = {10},
pages = {3363--3390},
issn = {0022-0396},
mrclass = {60H15 (35Q30 35R60 60F05 60F10)},
mrnumber = {3319423},
mrreviewer = {Kumarasamy Sakthivel},
doi = {10.1016/j.jde.2015.01.008},
url = {https://doi.org/10.1016/j.jde.2015.01.008}
}
@Article{ wang.zhai.ea:16:exponential,
author = {Wang, Ran and Zhai, Jianliang and Zhang, Tusheng},
title = {Exponential mixing for stochastic model of two-dimensional
second grade fluids},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {132},
year = {2016},
pages = {196--213},
issn = {0362-546X},
mrclass = {60H15 (35Q35 35R60 37L55)},
mrnumber = {3433962},
doi = {10.1016/j.na.2015.11.009},
url = {https://doi.org/10.1016/j.na.2015.11.009}
}
@Article{ wang.zhang:10:gradient,
author = {Wang, Feng-Yu and Zhang, Tu-Sheng},
title = {Gradient estimates for stochastic evolution equations with
non-{L}ipschitz coefficients},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {365},
year = {2010},
number = {1},
pages = {1--11},
issn = {0022-247X},
mrclass = {60H10 (34K30 34K50 35R60)},
mrnumber = {2585069},
mrreviewer = {Mark A. McKibben},
doi = {10.1016/j.jmaa.2009.09.008},
url = {https://doi.org/10.1016/j.jmaa.2009.09.008}
}
@Article{ wang.zhang:14:log-harnack,
author = {Wang, Feng-Yu and Zhang, Tusheng},
title = {Log-{H}arnack inequality for mild solutions of {SPDE}s
with multiplicative noise},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {3},
pages = {1261--1274},
issn = {0304-4149},
mrclass = {60H15},
mrnumber = {3148013},
mrreviewer = {Michael A. Salins},
doi = {10.1016/j.spa.2013.11.002},
url = {https://doi.org/10.1016/j.spa.2013.11.002}
}
@Article{ wang.zhang:15:moderate,
author = {Wang, Ran and Zhang, Tusheng},
title = {Moderate deviations for stochastic reaction-diffusion
equations with multiplicative noise},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {42},
year = {2015},
number = {1},
pages = {99--113},
issn = {0926-2601},
mrclass = {60H15 (60F05 60F10)},
mrnumber = {3297988},
mrreviewer = {Toussaint Joseph Rabeherimanana},
doi = {10.1007/s11118-014-9425-6},
url = {https://doi.org/10.1007/s11118-014-9425-6}
}
@Article{ wang.zhang:19:pathwise,
author = {Wang, Chen and Zhang, Tusheng},
title = {Pathwise uniqueness and non-explosion of {SDE}s driven by
compensated {P}oisson random measures},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {150},
year = {2019},
pages = {61--67},
issn = {0167-7152},
mrclass = {60H10 (34A12 34A40 60J60)},
mrnumber = {3922489},
doi = {10.1016/j.spl.2019.02.010},
url = {https://doi.org/10.1016/j.spl.2019.02.010}
}
@Article{ wang.zhang:20:talagrand,
author = {Wang, Feng-yu and Zhang, Tu-sheng},
title = {Talagrand inequality on free path space and application to
stochastic reaction diffusion equations},
journal = {Acta Math. Appl. Sin. Engl. Ser.},
fjournal = {Acta Mathematicae Applicatae Sinica. English Series},
volume = {36},
year = {2020},
number = {2},
pages = {253--261},
issn = {0168-9673},
mrclass = {60J25 (60G30 60H15)},
mrnumber = {4083440},
doi = {10.1007/s10255-020-0926-3},
url = {https://doi.org/10.1007/s10255-020-0926-3}
}
@Article{ wang.zheng.ea:03:universality,
title = {The universality classes in growth of iron nitride thin
films deposited by magnetron sputtering},
journal = {Materials Chemistry and Physics},
volume = {82},
number = {2},
pages = {254--257},
year = {2003},
issn = {0254-0584},
doi = {https://doi.org/10.1016/S0254-0584(03)00217-7},
url = {https://www.sciencedirect.com/science/article/pii/S0254058403002177},
author = {Xin Wang and Weitao Zheng and Lijuan Gao}
}
@Article{ wang.zhu.ea:23:long,
author = {Wang, Chang-Jian and Zhu, Ya-Jie and Zhu, Xin-Cai},
title = {Long time behavior of the solution to a chemotaxis system
with nonlinear indirect signal production and logistic
source},
journal = {Electron. J. Qual. Theory Differ. Equ.},
fjournal = {Electronic Journal of Qualitative Theory of Differential
Equations},
year = {2023},
pages = {Paper No. 11, 21},
mrclass = {92C17 (35M30 35Q92)},
mrnumber = {4577527},
mrreviewer = {Yilong Wang}
}
@Article{ wang:00:qualitative,
author = {Wang, Xuefeng},
title = {Qualitative behavior of solutions of chemotactic diffusion
systems: effects of motility and chemotaxis and dynamics},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {31},
year = {2000},
number = {3},
pages = {535--560},
issn = {0036-1410},
mrclass = {35K57 (35B35 35Q80 92C17)},
mrnumber = {1740723},
mrreviewer = {Yuzo Hosono},
doi = {10.1137/S0036141098339897},
url = {https://doi.org/10.1137/S0036141098339897}
}
@Article{ wang:08:existence,
author = {Wang, Zhidong},
title = {Existence and uniqueness of solutions to stochastic
{V}olterra equations with singular kernels and
non-{L}ipschitz coefficients},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {78},
year = {2008},
number = {9},
pages = {1062--1071},
issn = {0167-7152},
mrclass = {60H20 (45D05)},
mrnumber = {2422961},
mrreviewer = {Anna Karczewska},
doi = {10.1016/j.spl.2007.10.007},
url = {https://doi.org/10.1016/j.spl.2007.10.007}
}
@Book{ wang:08:spiked,
author = {Wang, Dong},
title = {Spiked models in {W}ishart ensemble},
note = {Thesis (Ph.D.)--Brandeis University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {2008},
pages = {143},
isbn = {978-0549-53984-1},
mrclass = {Thesis},
mrnumber = {2711517},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3306459}
}
@Article{ wang:16:global,
author = {Wang, Yilong},
title = {Global bounded weak solutions to a degenerate quasilinear
chemotaxis system with rotation},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {39},
year = {2016},
number = {5},
pages = {1159--1175},
issn = {0170-4214},
mrclass = {92C17 (35A01 35D30 35K51 35K59 35K65 35Q92)},
mrnumber = {3474152},
doi = {10.1002/mma.3561},
url = {https://doi.org/10.1002/mma.3561}
}
@Article{ wang:16:quasilinear,
author = {Wang, Yilong},
title = {A quasilinear attraction-repulsion chemotaxis system of
parabolic-elliptic type with logistic source},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {441},
year = {2016},
number = {1},
pages = {259--292},
issn = {0022-247X},
mrclass = {35M33 (35A01 35A02 35B40 35C09 35Q92)},
mrnumber = {3488057},
doi = {10.1016/j.jmaa.2016.03.061},
url = {https://doi.org/10.1016/j.jmaa.2016.03.061}
}
@Article{ wang:22:large,
author = {Wang, Yilin},
title = {Large deviations of {S}chramm-{L}oewner evolutions: a
survey},
journal = {Probab. Surv.},
fjournal = {Probability Surveys},
volume = {19},
year = {2022},
pages = {351--403},
mrclass = {60-02 (30C55 60F10 60J67)},
mrnumber = {4417203},
doi = {10.1214/22-ps9},
url = {https://doi.org/10.1214/22-ps9}
}
@Article{ wang:97:state,
author = {Wang, H.},
title = {State classification for a class of measure-valued
branching diffusions in a {B}rownian medium},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {109},
year = {1997},
number = {1},
pages = {39--55},
issn = {0178-8051},
mrclass = {60J55},
mrnumber = {1469919},
mrreviewer = {Srikanth K. Iyer},
doi = {10.1007/s004400050124},
url = {https://doi.org/10.1007/s004400050124}
}
@Article{ wang:98:class,
author = {Wang, H.},
title = {A class of measure-valued branching diffusions in a random
medium},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {16},
year = {1998},
number = {4},
pages = {753--786},
issn = {0736-2994},
mrclass = {60J80 (60F17 60K35)},
mrnumber = {1632574},
mrreviewer = {Alexander Schied},
doi = {10.1080/07362999808809560},
url = {https://doi.org/10.1080/07362999808809560}
}
@Book{ wasow:87:asymptotic,
author = {Wasow, Wolfgang},
title = {Asymptotic expansions for ordinary differential
equations},
note = {Reprint of the 1976 edition},
publisher = {Dover Publications, Inc., New York},
year = {1987},
pages = {x+374},
isbn = {0-486-65456-7},
mrclass = {34-02 (34E05)},
mrnumber = {919406}
}
@Article{ watanabe:68:limit,
author = {Watanabe, Shinzo},
title = {A limit theorem of branching processes and continuous
state branching processes},
journal = {J. Math. Kyoto Univ.},
fjournal = {Journal of Mathematics of Kyoto University},
volume = {8},
year = {1968},
pages = {141--167},
issn = {0023-608X},
mrclass = {60.67},
mrnumber = {237008},
mrreviewer = {P. E. Ney},
doi = {10.1215/kjm/1250524180},
url = {https://doi.org/10.1215/kjm/1250524180}
}
@Article{ watanabe:89:block,
author = {Watanabe, Hiroshi},
title = {Block spin approach to {$\phi^4_3$} field theory},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {54},
year = {1989},
number = {1-2},
pages = {171--190},
issn = {0022-4715},
mrclass = {81E08 (82A15)},
mrnumber = {984254},
doi = {10.1007/BF01023477},
url = {https://doi.org/10.1007/BF01023477}
}
@Book{ watson:44:treatise,
author = {Watson, G. N.},
title = {A {T}reatise on the {T}heory of {B}essel {F}unctions},
publisher = {Cambridge University Press, Cambridge, England; Macmillan
Company, New York},
year = {1944},
pages = {vi+804},
mrclass = {33.0X},
mrnumber = {0010746},
mrreviewer = {G. Szeg\"{o}}
}
@Book{ watson:95:treatise,
author = {Watson, G. N.},
title = {A treatise on the theory of {B}essel functions},
series = {Cambridge Mathematical Library},
note = {Reprint of the second (1944) edition},
publisher = {Cambridge University Press, Cambridge},
year = {1995},
pages = {viii+804},
isbn = {0-521-48391-3},
mrclass = {33C10 (01A75 33-01 33-02)},
mrnumber = {1349110},
mrreviewer = {R. A. Askey}
}
@Article{ wei:18:global,
author = {Wei, Dongyi},
title = {Global well-posedness and blow-up for the 2-{D}
{P}atlak-{K}eller-{S}egel equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {274},
year = {2018},
number = {2},
pages = {388--401},
issn = {0022-1236},
mrclass = {35M31 (35B30 35B44 35Q92 92C17)},
mrnumber = {3724143},
mrreviewer = {Yongqian Zhang},
doi = {10.1016/j.jfa.2017.10.019},
url = {https://doi.org/10.1016/j.jfa.2017.10.019}
}
@Book{ weidmann:87:spectral,
author = {Weidmann, Joachim},
title = {Spectral theory of ordinary differential operators},
series = {Lecture Notes in Mathematics},
volume = {1258},
publisher = {Springer-Verlag, Berlin},
year = {1987},
pages = {vi+303},
isbn = {3-540-17902-X},
mrclass = {47E05 (34-02 34B25)},
mrnumber = {923320},
mrreviewer = {Tuncay Aktosun},
doi = {10.1007/BFb0077960},
url = {https://doi.org/10.1007/BFb0077960}
}
@Article{ weidmann:97:strong,
author = {Weidmann, Joachim},
title = {Strong operator convergence and spectral theory of
ordinary differential operators},
journal = {Univ. Iagel. Acta Math.},
fjournal = {Universitatis Iagellonicae. Acta Mathematica},
number = {34},
year = {1997},
pages = {153--163},
issn = {0083-4386},
mrclass = {47B25 (34L05 34L40 47A10 47E05)},
mrnumber = {1458041},
mrreviewer = {Alexei Yu. Konstantinov}
}
@Article{ weigel.simon.ea:11:ergodic,
author = {Aubrey V. Weigel and Blair Simon and Michael M. Tamkun and
Diego Krapf},
title = {Ergodic and nonergodic processes coexist in the plasma
membrane as observed by single-molecule tracking},
journal = {Proceedings of the National Academy of Sciences},
volume = {108},
number = {16},
pages = {6438--6443},
year = {2011},
doi = {10.1073/pnas.1016325108},
url = {https://www.pnas.org/doi/abs/10.1073/pnas.1016325108},
eprint = {https://www.pnas.org/doi/pdf/10.1073/pnas.1016325108}
}
@Article{ weinberger:02:on,
author = {Weinberger, Hans F.},
title = {On spreading speeds and traveling waves for growth and
migration models in a periodic habitat},
journal = {J. Math. Biol.},
fjournal = {Journal of Mathematical Biology},
volume = {45},
year = {2002},
number = {6},
pages = {511--548},
issn = {0303-6812},
mrclass = {92D40 (35K57 92D25)},
mrnumber = {1943224},
doi = {10.1007/s00285-002-0169-3},
url = {https://doi.org/10.1007/s00285-002-0169-3}
}
@Article{ weinberger:82:long-time,
author = {Weinberger, H. F.},
title = {Long-time behavior of a class of biological models},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {13},
year = {1982},
number = {3},
pages = {353--396},
issn = {0036-1410},
mrclass = {35B40 (35K55 92A10)},
mrnumber = {653463},
mrreviewer = {O. Diekmann},
doi = {10.1137/0513028},
url = {https://doi.org/10.1137/0513028}
}
@Article{ weissler:84:single,
author = {Weissler, Fred B.},
title = {Single point blow-up for a semilinear initial value
problem},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {55},
year = {1984},
number = {2},
pages = {204--224},
issn = {0022-0396},
mrclass = {35K55 (35B40)},
mrnumber = {764124},
mrreviewer = {R. Glassey},
doi = {10.1016/0022-0396(84)90081-0},
url = {https://doi.org/10.1016/0022-0396(84)90081-0}
}
@Article{ wen.zhang:09:rectangular,
author = {Wen, C. H. and Zhang, T. S.},
title = {Rectangular method on stochastic {V}olterra equations},
journal = {Int. J. Appl. Math. Stat.},
fjournal = {International Journal of Applied Mathematics \&
Statistics},
volume = {14},
year = {2009},
number = {J09},
pages = {12--26},
issn = {0973-1377},
mrclass = {60H20 (65C30)},
mrnumber = {2524870},
mrreviewer = {Roger Pettersson}
}
@Article{ wen.zhang:11:improved,
author = {Wen, C. H. and Zhang, T. S.},
title = {Improved rectangular method on stochastic {V}olterra
equations},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {235},
year = {2011},
number = {8},
pages = {2492--2501},
issn = {0377-0427},
mrclass = {45R05 (60H20 65R20)},
mrnumber = {2763162},
doi = {10.1016/j.cam.2010.11.002},
url = {https://doi.org/10.1016/j.cam.2010.11.002}
}
@Misc{ wermelinger:14:graph,
title = {Graph Exploration},
author = {Felix Wermelinger},
month = {jan},
year = {2014}
}
@InCollection{ werner:04:random,
author = {Werner, Wendelin},
title = {Random planar curves and {S}chramm-{L}oewner evolutions},
booktitle = {Lectures on probability theory and statistics},
series = {Lecture Notes in Math.},
volume = {1840},
pages = {107--195},
publisher = {Springer, Berlin},
year = {2004},
mrclass = {60D05 (28A80 60J65 60K35 82B20 82B27 82B41)},
mrnumber = {2079672},
mrreviewer = {Almut Burchard},
doi = {10.1007/978-3-540-39982-7\_2},
url = {https://doi.org/10.1007/978-3-540-39982-7_2}
}
@Article{ weso-owski.m-aczynski:75:stability,
author = {Weso\l owski, Zbigniew and M\polhk aczy\'{n}ski, Jacek},
title = {The stability of an initially prestressed elastic strip},
journal = {Rozprawy In\.{z}.},
fjournal = {Polska Akademia Nauk. Instytut Podstawowych Problem\'{o}w
Techniki. Rozprawy In\.{z}ynierskie},
volume = {23},
year = {1975},
number = {4},
pages = {687--696},
issn = {0035-9408},
mrclass = {73.65},
mrnumber = {452030}
}
@Article{ westwater:80:on,
author = {Westwater, M. J.},
title = {On {E}dwards' model for long polymer chains},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {72},
year = {1980},
number = {2},
pages = {131--174},
issn = {0010-3616},
mrclass = {82A51 (60J99)},
mrnumber = {573702},
url = {http://projecteuclid.org/euclid.cmp/1103907655}
}
@Book{ whittaker.watson:96:course,
author = {Whittaker, E. T. and Watson, G. N.},
title = {A course of modern analysis},
series = {Cambridge Mathematical Library},
note = {An introduction to the general theory of infinite
processes and of analytic functions; with an account of the
principal transcendental functions, Reprint of the fourth
(1927) edition},
publisher = {Cambridge University Press, Cambridge},
year = {1996},
pages = {vi+608},
isbn = {0-521-58807-3},
mrclass = {01A75 (30-01 33-01)},
mrnumber = {1424469},
doi = {10.1017/CBO9780511608759},
url = {https://doi.org/10.1017/CBO9780511608759}
}
@Article{ whittle:54:on,
author = {Whittle, P.},
title = {On stationary processes in the plane},
journal = {Biometrika},
fjournal = {Biometrika},
volume = {41},
year = {1954},
pages = {434--449},
issn = {0006-3444},
mrclass = {62.0X},
mrnumber = {67450},
mrreviewer = {D. G. Kendall},
doi = {10.1093/biomet/41.3-4.434},
url = {https://doi.org/10.1093/biomet/41.3-4.434}
}
@Book{ widder:41:laplace,
author = {Widder, David Vernon},
title = {The {L}aplace {T}ransform},
series = {Princeton Mathematical Series, vol. 6},
publisher = {Princeton University Press, Princeton, N. J.},
year = {1941},
pages = {x+406},
mrclass = {42.4X},
mrnumber = {0005923},
mrreviewer = {J. D. Tamarkin}
}
@Book{ widder:75:heat,
author = {Widder, D. V.},
title = {The heat equation},
series = {Pure and Applied Mathematics, Vol. 67},
publisher = {Academic Press [Harcourt Brace Jovanovich, Publishers],
New York-London},
year = {1975},
pages = {xiv+267},
mrclass = {35K05},
mrnumber = {0466967},
mrreviewer = {Gerald G. Bilodeau}
}
@Article{ widom:99:on,
author = {Widom, Harold},
title = {On the relation between orthogonal, symplectic and unitary
matrix ensembles},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {94},
year = {1999},
number = {3-4},
pages = {347--363},
issn = {0022-4715},
mrclass = {82B41 (47G10 47N55 82B10 82B44)},
mrnumber = {1675356},
mrreviewer = {Estelle L. Basor},
doi = {10.1023/A:1004516918143},
url = {https://doi.org/10.1023/A:1004516918143}
}
@Article{ wierman.reh:78:on,
author = {Wierman, John C. and Reh, Wolfgang},
title = {On conjectures in first passage percolation theory},
journal = {Ann. Probability},
fjournal = {The Annals of Probability},
volume = {6},
year = {1978},
number = {3},
pages = {388--397},
issn = {0091-1798},
mrclass = {60K05},
mrnumber = {478390},
mrreviewer = {G. R. Grimmett},
doi = {10.1214/aop/1176995525},
url = {https://doi.org/10.1214/aop/1176995525}
}
@Article{ wigner:55:characteristic,
author = {Wigner, Eugene P.},
title = {Characteristic vectors of bordered matrices with infinite
dimensions},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {62},
year = {1955},
pages = {548--564},
issn = {0003-486X},
mrclass = {60.0X},
mrnumber = {77805},
mrreviewer = {J. G. Wendel},
doi = {10.2307/1970079},
url = {https://doi.org/10.2307/1970079}
}
@Article{ wigner:58:on,
title = {On the distribution of the roots of certain symmetric
matrices},
author = {Wigner, Eugene P},
journal = {Annals of Mathematics},
pages = {325--327},
year = {1958},
publisher = {JSTOR}
}
@Article{ wigner:58:on*1,
author = {Wigner, Eugene P.},
title = {On the distribution of the roots of certain symmetric
matrices},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {67},
year = {1958},
pages = {325--327},
issn = {0003-486X},
mrclass = {60.00 (15.00)},
mrnumber = {95527},
mrreviewer = {J. G. Wendel},
doi = {10.2307/1970008},
url = {https://doi.org/10.2307/1970008}
}
@Article{ wild:51:on,
author = {Wild, E.},
title = {On {B}oltzmann's equation in the kinetic theory of gases},
journal = {Proc. Cambridge Philos. Soc.},
fjournal = {Proceedings of the Cambridge Philosophical Society},
volume = {47},
year = {1951},
pages = {602--609},
issn = {0008-1981},
mrclass = {80.1X},
mrnumber = {42999},
mrreviewer = {C. A. Truesdell},
doi = {10.1017/s0305004100026992},
url = {https://doi.org/10.1017/s0305004100026992}
}
@Article{ wilkinson.edwards:82:spontaneous,
author = {Wilkinson, D. R. and Edwards, S. F.},
title = {Spontaneous interparticle percolation},
journal = {Proc. Roy. Soc. London Ser. A},
fjournal = {Proceedings of the Royal Society. London. Series A.
Mathematical, Physical and Engineering Sciences},
volume = {381},
year = {1982},
number = {1780},
pages = {33--51},
issn = {0962-8444},
mrclass = {82A43},
mrnumber = {661715},
doi = {10.1098/rspa.1982.0057},
url = {https://doi.org/10.1098/rspa.1982.0057}
}
@Book{ wilks:62:mathematical,
author = {Wilks, Samuel S.},
title = {Mathematical statistics},
series = {A Wiley Publication in Mathematical Statistics},
publisher = {John Wiley \& Sons, Inc., New York-London},
year = {1962},
pages = {xvi+644},
mrclass = {62.00},
mrnumber = {144404},
mrreviewer = {G. Elfving}
}
@Article{ wilson:85:on,
author = {Wilson, J. Michael},
title = {On the atomic decomposition for {H}ardy spaces},
journal = {Pacific J. Math.},
fjournal = {Pacific Journal of Mathematics},
volume = {116},
year = {1985},
number = {1},
pages = {201--207},
issn = {0030-8730},
mrclass = {42B30},
mrnumber = {769832},
mrreviewer = {A. B. Aleksandrov},
url = {http://projecteuclid.org/euclid.pjm/1102707257}
}
@Article{ winkel:05:electronic,
author = {Winkel, Matthias},
title = {Electronic foreign-exchange markets and passage events of
independent subordinators},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {42},
year = {2005},
number = {1},
pages = {138--152},
issn = {0021-9002},
mrclass = {60G51 (91B26 91B70)},
mrnumber = {2144899},
mrreviewer = {Sergio Ortobelli Lozza},
doi = {10.1017/s0021900200000115},
url = {https://doi.org/10.1017/s0021900200000115}
}
@Article{ winkler.djie:10:boundedness,
author = {Winkler, Michael and Djie, Kianhwa C.},
title = {Boundedness and finite-time collapse in a chemotaxis
system with volume-filling effect},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {72},
year = {2010},
number = {2},
pages = {1044--1064},
issn = {0362-546X},
mrclass = {35M33 (35B35 35B40 92C17)},
mrnumber = {2579368},
doi = {10.1016/j.na.2009.07.045},
url = {https://doi.org/10.1016/j.na.2009.07.045}
}
@Article{ winkler.yokota:18:stabilization,
author = {Winkler, Michael and Yokota, Tomomi},
title = {Stabilization in the logarithmic {K}eller-{S}egel system},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {170},
year = {2018},
pages = {123--141},
issn = {0362-546X},
mrclass = {35K51 (35B40 35K59 35K65 35K67 92C17)},
mrnumber = {3765558},
doi = {10.1016/j.na.2018.01.002},
url = {https://doi.org/10.1016/j.na.2018.01.002}
}
@Article{ winkler:08:chemotaxis,
author = {Winkler, Michael},
title = {Chemotaxis with logistic source: very weak global
solutions and their boundedness properties},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {348},
year = {2008},
number = {2},
pages = {708--729},
issn = {0022-247X},
mrclass = {35K57 (35D05 35K50 92C17)},
mrnumber = {2445771},
mrreviewer = {Gabriela Marinoschi},
doi = {10.1016/j.jmaa.2008.07.071},
url = {https://doi.org/10.1016/j.jmaa.2008.07.071}
}
@Article{ winkler:10:absence,
author = {Winkler, Michael},
title = {Absence of collapse in a parabolic chemotaxis system with
signal-dependent sensitivity},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {283},
year = {2010},
number = {11},
pages = {1664--1673},
issn = {0025-584X},
mrclass = {35K51 (35A01 35A02 35B45 35Q92 92C17)},
mrnumber = {2759803},
mrreviewer = {Narcisa C. Apreutesei},
doi = {10.1002/mana.200810838},
url = {https://doi.org/10.1002/mana.200810838}
}
@Article{ winkler:10:aggregation,
author = {Winkler, Michael},
title = {Aggregation vs. global diffusive behavior in the
higher-dimensional {K}eller-{S}egel model},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {248},
year = {2010},
number = {12},
pages = {2889--2905},
issn = {0022-0396},
mrclass = {35K51 (35B35 35B40 92C17)},
mrnumber = {2644137},
mrreviewer = {Bisso Saley},
doi = {10.1016/j.jde.2010.02.008},
url = {https://doi.org/10.1016/j.jde.2010.02.008}
}
@Article{ winkler:10:boundedness,
author = {Winkler, Michael},
title = {Boundedness in the higher-dimensional parabolic-parabolic
chemotaxis system with logistic source},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {35},
year = {2010},
number = {8},
pages = {1516--1537},
issn = {0360-5302},
mrclass = {35K51 (35A01 35A02 35A09 92C17)},
mrnumber = {2754053},
mrreviewer = {Narcisa C. Apreutesei},
doi = {10.1080/03605300903473426},
url = {https://doi.org/10.1080/03605300903473426}
}
@Article{ winkler:10:does,
author = {Winkler, Michael},
title = {Does a `volume-filling effect' always prevent chemotactic
collapse?},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {33},
year = {2010},
number = {1},
pages = {12--24},
issn = {0170-4214},
mrclass = {35K51 (35B40 92C17)},
mrnumber = {2591220},
doi = {10.1002/mma.1146},
url = {https://doi.org/10.1002/mma.1146}
}
@Article{ winkler:11:blow-up,
author = {Winkler, Michael},
title = {Blow-up in a higher-dimensional chemotaxis system despite
logistic growth restriction},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {384},
year = {2011},
number = {2},
pages = {261--272},
issn = {0022-247X},
mrclass = {35Q92 (35A09 35B07 35B44 35K59 35M33 92C17)},
mrnumber = {2825180},
mrreviewer = {Youshan Tao},
doi = {10.1016/j.jmaa.2011.05.057},
url = {https://doi.org/10.1016/j.jmaa.2011.05.057}
}
@Article{ winkler:11:global,
author = {Winkler, Michael},
title = {Global solutions in a fully parabolic chemotaxis system
with singular sensitivity},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {34},
year = {2011},
number = {2},
pages = {176--190},
issn = {0170-4214},
mrclass = {35K51 (35A01 35A09 35D30 92C17)},
mrnumber = {2778870},
mrreviewer = {Temur Jangveladze},
doi = {10.1002/mma.1346},
url = {https://doi.org/10.1002/mma.1346}
}
@Article{ winkler:13:finite-time,
author = {Winkler, Michael},
title = {Finite-time blow-up in the higher-dimensional
parabolic-parabolic {K}eller-{S}egel system},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {100},
year = {2013},
number = {5},
pages = {748--767},
issn = {0021-7824},
mrclass = {35K57 (35B44 35B45)},
mrnumber = {3115832},
mrreviewer = {Daniela Giachetti},
doi = {10.1016/j.matpur.2013.01.020},
url = {https://doi.org/10.1016/j.matpur.2013.01.020}
}
@Article{ winkler:14:global,
author = {Winkler, Michael},
title = {Global asymptotic stability of constant equilibria in a
fully parabolic chemotaxis system with strong logistic
dampening},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {257},
year = {2014},
number = {4},
pages = {1056--1077},
issn = {0022-0396},
mrclass = {35K51 (35B35 35B40 35Q92 92C17)},
mrnumber = {3210023},
mrreviewer = {Philippe Lauren\c{c}ot},
doi = {10.1016/j.jde.2014.04.023},
url = {https://doi.org/10.1016/j.jde.2014.04.023}
}
@Article{ winkler:14:how,
author = {Winkler, Michael},
title = {How far can chemotactic cross-diffusion enforce exceeding
carrying capacities?},
journal = {J. Nonlinear Sci.},
fjournal = {Journal of Nonlinear Science},
volume = {24},
year = {2014},
number = {5},
pages = {809--855},
issn = {0938-8974},
mrclass = {35M33 (35B09 35B25 35B40 35B44 35K59 92C17)},
mrnumber = {3265198},
mrreviewer = {Christopher P. Grant},
doi = {10.1007/s00332-014-9205-x},
url = {https://doi.org/10.1007/s00332-014-9205-x}
}
@Article{ winkler:15:boundedness,
author = {Winkler, Michael},
title = {Boundedness and large time behavior in a three-dimensional
chemotaxis-{S}tokes system with nonlinear diffusion and
general sensitivity},
journal = {Calc. Var. Partial Differential Equations},
fjournal = {Calculus of Variations and Partial Differential
Equations},
volume = {54},
year = {2015},
number = {4},
pages = {3789--3828},
issn = {0944-2669},
mrclass = {35Q35 (35B40 35B45 35D30 35K55 35K65 35Q92 92C17)},
mrnumber = {3426095},
mrreviewer = {Reinhard Redlinger},
doi = {10.1007/s00526-015-0922-2},
url = {https://doi.org/10.1007/s00526-015-0922-2}
}
@Article{ winkler:16:global,
author = {Winkler, Michael},
title = {Global weak solutions in a three-dimensional
chemotaxis--{N}avier-{S}tokes system},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {33},
year = {2016},
number = {5},
pages = {1329--1352},
issn = {0294-1449},
mrclass = {35Q35 (35A01 35D30 35Q30 35Q92 92C17)},
mrnumber = {3542616},
mrreviewer = {Emil Wiedemann},
doi = {10.1016/j.anihpc.2015.05.002},
url = {https://doi.org/10.1016/j.anihpc.2015.05.002}
}
@Article{ winkler:16:two-dimensional,
author = {Winkler, Michael},
title = {The two-dimensional {K}eller-{S}egel system with singular
sensitivity and signal absorption: global large-data
solutions and their relaxation properties},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {26},
year = {2016},
number = {5},
pages = {987--1024},
issn = {0218-2025},
mrclass = {35K40 (35B40 35B65 35D30 35K59 35Q92 92C17)},
mrnumber = {3464427},
mrreviewer = {Youshan Tao},
doi = {10.1142/S0218202516500238},
url = {https://doi.org/10.1142/S0218202516500238}
}
@Article{ winkler:17:emergence,
author = {Winkler, Michael},
title = {Emergence of large population densities despite logistic
growth restrictions in fully parabolic chemotaxis systems},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {22},
year = {2017},
number = {7},
pages = {2777--2793},
issn = {1531-3492},
mrclass = {92C17 (35B44 35K51 35K59)},
mrnumber = {3651259},
doi = {10.3934/dcdsb.2017135},
url = {https://doi.org/10.3934/dcdsb.2017135}
}
@Article{ winkler:17:how,
author = {Winkler, Michael},
title = {How far do chemotaxis-driven forces influence regularity
in the {N}avier-{S}tokes system?},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {369},
year = {2017},
number = {5},
pages = {3067--3125},
issn = {0002-9947},
mrclass = {35Q35 (35B40 35B65 35K55 35Q30 35Q92 92C17)},
mrnumber = {3605965},
mrreviewer = {J\"{u}rgen Socolowsky},
doi = {10.1090/tran/6733},
url = {https://doi.org/10.1090/tran/6733}
}
@Article{ winkler:18:critical,
author = {Winkler, Michael},
title = {A critical blow-up exponent in a chemotaxis system with
nonlinear signal production},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {31},
year = {2018},
number = {5},
pages = {2031--2056},
issn = {0951-7715,1361-6544},
mrclass = {35M33 (35B33 35B44 35K51 35K65 92C17)},
mrnumber = {3816663},
mrreviewer = {Doron\ Levy},
doi = {10.1088/1361-6544/aaaa0e},
url = {https://doi.org/10.1088/1361-6544/aaaa0e}
}
@Article{ winkler:18:does,
author = {Winkler, Michael},
title = {Does fluid interaction affect regularity in the
three-dimensional {K}eller-{S}egel system with saturated
sensitivity?},
journal = {J. Math. Fluid Mech.},
fjournal = {Journal of Mathematical Fluid Mechanics},
volume = {20},
year = {2018},
number = {4},
pages = {1889--1909},
issn = {1422-6928},
mrclass = {35Q35 (35B65 35Q92 92C17)},
mrnumber = {3877500},
doi = {10.1007/s00021-018-0395-0},
url = {https://doi.org/10.1007/s00021-018-0395-0}
}
@Article{ winkler:18:finite-time,
author = {Winkler, Michael},
title = {Finite-time blow-up in low-dimensional {K}eller-{S}egel
systems with logistic-type superlinear degradation},
journal = {Z. Angew. Math. Phys.},
fjournal = {Zeitschrift f\"{u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics. Journal
de Math\'{e}matiques et de Physique Appliqu\'{e}es},
volume = {69},
year = {2018},
number = {2},
pages = {Paper No. 69, 40},
issn = {0044-2275},
mrclass = {35M33 (35A01 35B44 35K65 92C17)},
mrnumber = {3772030},
doi = {10.1007/s00033-018-0935-8},
url = {https://doi.org/10.1007/s00033-018-0935-8}
}
@Article{ winkler:18:global,
author = {Winkler, Michael},
title = {Global mass-preserving solutions in a two-dimensional
chemotaxis-{S}tokes system with rotational flux
components},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {18},
year = {2018},
number = {3},
pages = {1267--1289},
issn = {1424-3199},
mrclass = {35Q35 (35D30 35K55 35Q92 92C17)},
mrnumber = {3859449},
mrreviewer = {Doron Levy},
doi = {10.1007/s00028-018-0440-8},
url = {https://doi.org/10.1007/s00028-018-0440-8}
}
@Article{ winkler:18:renormalized,
author = {Winkler, Michael},
title = {Renormalized radial large-data solutions to the
higher-dimensional {K}eller-{S}egel system with singular
sensitivity and signal absorption},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {264},
year = {2018},
number = {3},
pages = {2310--2350},
issn = {0022-0396},
mrclass = {35K51 (35B65 35D30 35K59 35Q92 92C17)},
mrnumber = {3721430},
mrreviewer = {Philippe Lauren\c{c}ot},
doi = {10.1016/j.jde.2017.10.029},
url = {https://doi.org/10.1016/j.jde.2017.10.029}
}
@Article{ winkler:19:does,
author = {Winkler, Michael},
title = {Does repulsion-type directional preference in chemotactic
migration continue to regularize {K}eller-{S}egel systems
when coupled to the {N}avier-{S}tokes equations?},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {26},
year = {2019},
number = {6},
pages = {Paper No. 48, 22},
issn = {1021-9722},
mrclass = {92C17 (35Q35 35Q92)},
mrnumber = {4029527},
doi = {10.1007/s00030-019-0600-8},
url = {https://doi.org/10.1007/s00030-019-0600-8}
}
@Article{ winkler:19:global,
author = {Winkler, Michael},
title = {Global classical solvability and generic infinite-time
blow-up in quasilinear {K}eller-{S}egel systems with
bounded sensitivities},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {266},
year = {2019},
number = {12},
pages = {8034--8066},
issn = {0022-0396},
mrclass = {35K51 (35B33 35B40 35B44 35K65 35Q92 92C17)},
mrnumber = {3944248},
mrreviewer = {Yifu Wang},
doi = {10.1016/j.jde.2018.12.019},
url = {https://doi.org/10.1016/j.jde.2018.12.019}
}
@Article{ winkler:19:global*1,
author = {Winkler, Michael},
title = {Global solvability and stabilization in a two-dimensional
cross-diffusion system modeling urban crime propagation},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {36},
year = {2019},
number = {6},
pages = {1747--1790},
issn = {0294-1449},
mrclass = {35Q91 (35B40 35D30 35K51 35K59)},
mrnumber = {4002172},
mrreviewer = {Giuseppe Viglialoro},
doi = {10.1016/j.anihpc.2019.02.004},
url = {https://doi.org/10.1016/j.anihpc.2019.02.004}
}
@Article{ winkler:19:how,
author = {Winkler, Michael},
title = {How unstable is spatial homogeneity in {K}eller-{S}egel
systems? {A} new critical mass phenomenon in two- and
higher-dimensional parabolic-elliptic cases},
journal = {Math. Ann.},
fjournal = {Mathematische Annalen},
volume = {373},
year = {2019},
number = {3-4},
pages = {1237--1282},
issn = {0025-5831},
mrclass = {35M33 (35B33 35B40 35B44 35K65 92C17)},
mrnumber = {3953127},
mrreviewer = {Si Ning Zheng},
doi = {10.1007/s00208-018-1722-8},
url = {https://doi.org/10.1007/s00208-018-1722-8}
}
@Article{ winkler:19:instantaneous,
author = {Winkler, Michael},
title = {Instantaneous regularization of distributions from
{$(C^0)^\star\times L^2$} in the one-dimensional parabolic
{K}eller-{S}egel system},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {183},
year = {2019},
pages = {102--116},
issn = {0362-546X},
mrclass = {35K51 (35B40 35B65 35K59 35Q92 92C17)},
mrnumber = {3905266},
doi = {10.1016/j.na.2019.01.017},
url = {https://doi.org/10.1016/j.na.2019.01.017}
}
@Article{ winkler:19:three-dimensional,
author = {Winkler, Michael},
title = {A three-dimensional {K}eller-{S}egel-{N}avier-{S}tokes
system with logistic source: global weak solutions and
asymptotic stabilization},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {276},
year = {2019},
number = {5},
pages = {1339--1401},
issn = {0022-1236},
mrclass = {35Q35 (35B40 35D30 35K55 92C17)},
mrnumber = {3912779},
mrreviewer = {Christian Stinner},
doi = {10.1016/j.jfa.2018.12.009},
url = {https://doi.org/10.1016/j.jfa.2018.12.009}
}
@Article{ winkler:20:blow-up,
author = {Winkler, Michael},
title = {Blow-up profiles and life beyond blow-up in the fully
parabolic {K}eller-{S}egel system},
journal = {J. Anal. Math.},
fjournal = {Journal d'Analyse Math\'{e}matique},
volume = {141},
year = {2020},
number = {2},
pages = {585--624},
issn = {0021-7670},
mrclass = {35K40},
mrnumber = {4179771},
mrreviewer = {Lech Slawik},
doi = {10.1007/s11854-020-0109-4},
url = {https://doi.org/10.1007/s11854-020-0109-4}
}
@Article{ winkler:20:boundedness,
author = {Winkler, Michael},
title = {Boundedness in a two-dimensional
{K}eller-{S}egel-{N}avier-{S}tokes system involving a
rapidly diffusing repulsive signal},
journal = {Z. Angew. Math. Phys.},
fjournal = {Zeitschrift f\"{u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics. Journal
de Math\'{e}matiques et de Physique Appliqu\'{e}es},
volume = {71},
year = {2020},
number = {1},
pages = {Paper No. 10, 20},
issn = {0044-2275},
mrclass = {76R50 (35Q35 92C17)},
mrnumber = {4045130},
mrreviewer = {Vladimir Mityushev},
doi = {10.1007/s00033-019-1232-x},
url = {https://doi.org/10.1007/s00033-019-1232-x}
}
@Article{ winkler:20:role,
author = {Winkler, Michael},
title = {The role of superlinear damping in the construction of
solutions to drift-diffusion problems with initial data in
{$L^1$}},
journal = {Adv. Nonlinear Anal.},
fjournal = {Advances in Nonlinear Analysis},
volume = {9},
year = {2020},
number = {1},
pages = {526--566},
issn = {2191-9496,2191-950X},
mrclass = {35K58 (35D30 35K20 35Q92 35R05 92C17)},
mrnumber = {3969152},
doi = {10.1515/anona-2020-0013},
url = {https://doi.org/10.1515/anona-2020-0013}
}
@Article{ winter.xu.ea:16:dynamics,
author = {Winter, Matthias and Xu, Lihu and Zhai, Jianliang and
Zhang, Tusheng},
title = {The dynamics of the stochastic shadow {G}ierer-{M}einhardt
system},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {260},
year = {2016},
number = {1},
pages = {84--114},
issn = {0022-0396},
mrclass = {60H05 (35K51 35R60 60F10 60H15 60H30)},
mrnumber = {3411665},
mrreviewer = {Martin Ondrej\'{a}t},
doi = {10.1016/j.jde.2015.08.047},
url = {https://doi.org/10.1016/j.jde.2015.08.047}
}
@Article{ witherspoon.holloway.ea:95:coastal-battlefield-reconnaissance-and-analysis-cobra,
author = "Witherspoon, N.H. and Holloway, J.H. and Davis, K.S. and
Miller, R.W. and Dubey, A.C.",
title = "The {Coastal Battlefield Reconnaissance and Analysis
(COBRA)} Program for Minefield Detection",
journal = "SPIE: Detection Technologies for Mines and Minelike
Targets",
year = 1995,
volume = 2496,
pages = {500--508}
}
@Article{ witten.sander:81:diffusion-limited,
title = {Diffusion-Limited Aggregation, a Kinetic Critical
Phenomenon},
author = {Witten, T. A. and Sander, L. M.},
journal = {Phys. Rev. Lett.},
volume = {47},
issue = {19},
pages = {1400--1403},
numpages = {0},
year = {1981},
month = {Nov},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.47.1400},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.47.1400}
}
@Book{ woess:00:random,
author = {Woess, Wolfgang},
title = {Random walks on infinite graphs and groups},
series = {Cambridge Tracts in Mathematics},
volume = {138},
publisher = {Cambridge University Press, Cambridge},
year = {2000},
pages = {xii+334},
isbn = {0-521-55292-3},
mrclass = {60B15 (60G50 60J10)},
mrnumber = {1743100},
mrreviewer = {Donald I. Cartwright},
doi = {10.1017/CBO9780511470967},
url = {https://doi.org/10.1017/CBO9780511470967}
}
@Article{ wolchover:16:at,
title = {At the Far Ends of a New Universal Law},
author = {Wolchover, Natalie},
journal = {The Best Writing on Mathematics 2015},
volume = {15},
pages = {99},
year = {2016},
publisher = {Princeton University Press}
}
@InCollection{ wolf:10:mathieu,
author = {Wolf, G.},
title = {Mathieu functions and {H}ill's equation},
booktitle = {N{IST} handbook of mathematical functions},
pages = {651--681},
publisher = {U.S. Dept. Commerce, Washington, DC},
year = {2010},
mrclass = {33E10 (34B30)},
mrnumber = {2655368}
}
@Article{ wolfersdorf:94:on,
author = {von Wolfersdorf, L.},
title = {On identification of memory kernels in linear theory of
heat conduction},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {17},
year = {1994},
number = {12},
pages = {919--932},
issn = {0170-4214},
mrclass = {45K05 (49J10 65K10)},
mrnumber = {1293675},
mrreviewer = {Alfredo Lorenzi},
doi = {10.1002/mma.1670171202},
url = {https://doi.org/10.1002/mma.1670171202}
}
@Article{ wolibner:33:theoreme,
author = {Wolibner, W.},
title = {Un theor\`eme sur l'existence du mouvement plan d'un
fluide parfait, homog\`ene, incompressible, pendant un
temps infiniment long},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {37},
year = {1933},
number = {1},
pages = {698--726},
issn = {0025-5874},
mrclass = {DML},
mrnumber = {1545430},
doi = {10.1007/BF01474610},
url = {https://doi.org/10.1007/BF01474610}
}
@Article{ wong.zakai:65:on,
author = {Wong, Eugene and Zakai, Moshe},
title = {On the convergence of ordinary integrals to stochastic
integrals},
journal = {Ann. Math. Statist.},
fjournal = {Annals of Mathematical Statistics},
volume = {36},
year = {1965},
pages = {1560--1564},
issn = {0003-4851},
mrclass = {60.75},
mrnumber = {195142},
mrreviewer = {T. Watanabe},
doi = {10.1214/aoms/1177699916},
url = {https://doi.org/10.1214/aoms/1177699916}
}
@Article{ wong.zhao:02:exponential,
author = {Wong, R. and Zhao, Yu-Qiu},
title = {Exponential asymptotics of the {M}ittag-{L}effler
function},
journal = {Constr. Approx.},
fjournal = {Constructive Approximation. An International Journal for
Approximations and Expansions},
volume = {18},
year = {2002},
number = {3},
pages = {355--385},
issn = {0176-4276},
mrclass = {41A60 (33E12)},
mrnumber = {1906764},
doi = {10.1007/s00365-001-0019-3},
url = {https://doi.org/10.1007/s00365-001-0019-3}
}
@Book{ wong:01:asymptotic,
author = {Wong, R.},
title = {Asymptotic approximations of integrals},
series = {Classics in Applied Mathematics},
volume = {34},
note = {Corrected reprint of the 1989 original},
publisher = {Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, PA},
year = {2001},
pages = {xviii+543},
isbn = {0-89871-497-4},
mrclass = {41A60 (44A15 46F10)},
mrnumber = {1851050},
doi = {10.1137/1.9780898719260},
url = {https://doi.org/10.1137/1.9780898719260}
}
@Article{ wood:69:table,
author = {Wood, Van E.},
title = {Table errata: {it {T}ables of integral transforms, {V}ol.
{I}, {II}} ({M}c{G}raw-{H}ill, {N}ew {Y}ork, 1954) by {A}.
{E}rd\'{e}lyi, {W}. {M}agnus, {F}. {O}berhettinger and {F}.
{G}. {T}ricomi},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {23},
year = {1969},
number = {106},
pages = {468},
issn = {0025-5718},
mrclass = {65A05 (33-XX)},
mrnumber = {415977},
url = {http://links.jstor.org/sici?sici=0025-5718(196904)23:106<467:TE>2.0.CO;2-C&origin=MSN}
}
@Article{ wright:33:on,
author = {Wright, E. Maitland},
title = {On the {C}oefficients of {P}ower {S}eries {H}aving
{E}xponential {S}ingularities},
journal = {J. London Math. Soc.},
fjournal = {The Journal of the London Mathematical Society},
volume = {8},
year = {1933},
number = {1},
pages = {71--79},
issn = {0024-6107},
mrclass = {DML},
mrnumber = {1574787},
doi = {10.1112/jlms/s1-8.1.71},
url = {https://doi.org/10.1112/jlms/s1-8.1.71}
}
@Article{ wright:35:asymptotic,
author = {Wright, E. Maitland},
title = {The {A}symptotic {E}xpansion of the {G}eneralized {B}essel
{F}unction},
journal = {Proc. London Math. Soc. (2)},
fjournal = {Proceedings of the London Mathematical Society. Second
Series},
volume = {38},
year = {1935},
pages = {257--270},
issn = {0024-6115},
mrclass = {DML},
mrnumber = {1576315},
doi = {10.1112/plms/s2-38.1.257},
url = {https://doi.org/10.1112/plms/s2-38.1.257}
}
@Article{ wright:40:asymptotic,
author = {Wright, E. M.},
title = {The asymptotic expansion of integral functions defined by
{T}aylor series},
journal = {Philos. Trans. Roy. Soc. London Ser. A},
fjournal = {Philosophical Transactions of the Royal Society of London.
Series A. Mathematical and Physical Sciences},
volume = {238},
year = {1940},
pages = {423--451},
issn = {0080-4614},
mrclass = {30.0X},
mrnumber = {0001296},
mrreviewer = {G. Valiron},
doi = {10.1098/rsta.1940.0002},
url = {https://doi.org/10.1098/rsta.1940.0002}
}
@Article{ wright:40:generalized,
author = {Wright, E. M.},
title = {The generalized {B}essel function of order greater than
one},
journal = {Quart. J. Math. Oxford Ser.},
fjournal = {The Quarterly Journal of Mathematics. Oxford Series},
volume = {11},
year = {1940},
pages = {36--48},
issn = {0033-5606},
mrclass = {33.0X},
mrnumber = {3875},
mrreviewer = {M. C. Gray},
doi = {10.1093/qmath/os-11.1.36},
url = {https://doi.org/10.1093/qmath/os-11.1.36}
}
@Article{ wrzosek:04:global,
author = {Wrzosek, Dariusz},
title = {Global attractor for a chemotaxis model with prevention of
overcrowding},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {59},
year = {2004},
number = {8},
pages = {1293--1310},
issn = {0362-546X},
mrclass = {35K50 (35B41 37L30 92C17)},
mrnumber = {2101646},
doi = {10.1016/j.na.2004.08.015},
url = {https://doi.org/10.1016/j.na.2004.08.015}
}
@Article{ wrzosek:06:long-time,
author = {Wrzosek, Dariusz},
title = {Long-time behaviour of solutions to a chemotaxis model
with volume-filling effect},
journal = {Proc. Roy. Soc. Edinburgh Sect. A},
fjournal = {Proceedings of the Royal Society of Edinburgh. Section A.
Mathematics},
volume = {136},
year = {2006},
number = {2},
pages = {431--444},
issn = {0308-2105},
mrclass = {35K50 (35B40 35K57 92C17)},
mrnumber = {2218162},
mrreviewer = {Dirk Horstmann},
doi = {10.1017/S0308210500004649},
url = {https://doi.org/10.1017/S0308210500004649}
}
@Article{ wu.lim.ea:13:tail,
author = {Wu, Wei-Ying and Lim, Chae Young and Xiao, Yimin},
title = {Tail estimation of the spectral density for a stationary
{G}aussian random field},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {116},
year = {2013},
pages = {74--91},
issn = {0047-259X,1095-7243},
mrclass = {62M40 (62H11 62H12 62M15 62M30)},
mrnumber = {3049893},
doi = {10.1016/j.jmva.2012.11.014},
url = {https://doi.org/10.1016/j.jmva.2012.11.014}
}
@Article{ wu.xiao:02:exact,
author = {Wu, Jun and Xiao, Yimin},
title = {Exact {H}ausdorff measure of the graph of {B}rownian
motion on the {S}ierpi\'{n}ski gasket},
journal = {Acta Sci. Math. (Szeged)},
fjournal = {Acta Universitatis Szegediensis. Acta Scientiarum
Mathematicarum},
volume = {68},
year = {2002},
number = {3-4},
pages = {849--871},
issn = {0001-6969,2064-8316},
mrclass = {60G17 (28A78 60J60 60J65)},
mrnumber = {1954551},
mrreviewer = {M.\ Cs\"{o}rg\H{o}}
}
@InCollection{ wu.xiao:06:fractal,
author = {Wu, Dongsheng and Xiao, Yimin},
title = {Fractal properties of the random string processes},
booktitle = {High dimensional probability},
series = {IMS Lecture Notes Monogr. Ser.},
volume = {51},
pages = {128--147},
publisher = {Inst. Math. Statist., Beachwood, OH},
year = {2006},
isbn = {978-0-940600-67-6; 0-940600-67-6},
mrclass = {60H15 (28A80 60G15 60G17 60H40)},
mrnumber = {2387765},
mrreviewer = {Pedro\ Mar\'{i}n Rubio},
doi = {10.1214/074921706000000806},
url = {https://doi.org/10.1214/074921706000000806}
}
@Article{ wu.xiao:07:dimensional,
author = {Wu, Dong Sheng and Xiao, Yi Min},
title = {Dimensional properties of fractional {B}rownian motion},
journal = {Acta Math. Sin. (Engl. Ser.)},
fjournal = {Acta Mathematica Sinica (English Series)},
volume = {23},
year = {2007},
number = {4},
pages = {613--622},
issn = {1439-8516,1439-7617},
mrclass = {60G17 (28A80 60G15)},
mrnumber = {2308095},
mrreviewer = {Marta\ Tyran-Kami\'{n}ska},
doi = {10.1007/s10114-005-0928-3},
url = {https://doi.org/10.1007/s10114-005-0928-3}
}
@Article{ wu.xiao:07:geometric,
author = {Wu, Dongsheng and Xiao, Yimin},
title = {Geometric properties of fractional {B}rownian sheets},
journal = {J. Fourier Anal. Appl.},
fjournal = {The Journal of Fourier Analysis and Applications},
volume = {13},
year = {2007},
number = {1},
pages = {1--37},
issn = {1069-5869,1531-5851},
mrclass = {60G15 (42B10 43A46)},
mrnumber = {2296726},
mrreviewer = {Michal\ Vyoral},
doi = {10.1007/s00041-005-5078-y},
url = {https://doi.org/10.1007/s00041-005-5078-y}
}
@Article{ wu.xiao:09:continuity,
author = {Wu, Dongsheng and Xiao, Yimin},
title = {Continuity in the {H}urst index of the local times of
anisotropic {G}aussian random fields},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {6},
pages = {1823--1844},
issn = {0304-4149,1879-209X},
mrclass = {60J55 (60G15 60G17 60G60)},
mrnumber = {2519346},
mrreviewer = {Marco\ Dozzi},
doi = {10.1016/j.spa.2008.09.001},
url = {https://doi.org/10.1016/j.spa.2008.09.001}
}
@Article{ wu.xiao:09:uniform,
author = {Wu, DongSheng and Xiao, YiMin},
title = {Uniform dimension results for {G}aussian random fields},
journal = {Sci. China Ser. A},
fjournal = {Science in China. Series A. Mathematics},
volume = {52},
year = {2009},
number = {7},
pages = {1478--1496},
issn = {1006-9283,1862-2763},
mrclass = {60G15 (28A78 28A80 43A46 60G17 60G60)},
mrnumber = {2520589},
mrreviewer = {Ren\'{e}\ L.\ Schilling},
doi = {10.1007/s11425-009-0103-x},
url = {https://doi.org/10.1007/s11425-009-0103-x}
}
@Article{ wu.xiao:10:regularity,
author = {Wu, Dongsheng and Xiao, Yimin},
title = {Regularity of intersection local times of fractional
{B}rownian motions},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {23},
year = {2010},
number = {4},
pages = {972--1001},
issn = {0894-9840,1572-9230},
mrclass = {60G22 (28A80 60F25 60J55)},
mrnumber = {2735733},
mrreviewer = {Ivan\ Nourdin},
doi = {10.1007/s10959-009-0221-y},
url = {https://doi.org/10.1007/s10959-009-0221-y}
}
@Article{ wu.xiao:11:on,
author = {Wu, Dongsheng and Xiao, Yimin},
title = {On local times of anisotropic {G}aussian random fields},
journal = {Commun. Stoch. Anal.},
fjournal = {Communications on Stochastic Analysis},
volume = {5},
year = {2011},
number = {1},
pages = {15--39},
issn = {2688-6669},
mrclass = {60G15 (28A80 60F25 60G18 60G60 60J55)},
mrnumber = {2808534},
mrreviewer = {Jos\'{e}\ Rafael\ Le\'{o}n},
doi = {10.31390/cosa.5.1.03},
url = {https://doi.org/10.31390/cosa.5.1.03}
}
@Article{ wu.xiao:95:some,
author = {Wu, Jun and Xiao, Yi Min},
title = {Some geometric properties of {B}rownian motion on
{S}ierpi\'{n}ski gasket},
note = {A Chinese summary appears in Chinese Ann. Math. Ser. A
{\bf 16} (1995), no. 2, 260},
journal = {Chinese Ann. Math. Ser. B},
fjournal = {Chinese Annals of Mathematics. Series B},
volume = {16},
year = {1995},
number = {2},
pages = {191--202},
issn = {0252-9599,1860-6261},
mrclass = {60G17 (60J65)},
mrnumber = {1342142},
mrreviewer = {S.\ J.\ Taylor}
}
@Article{ wu.zeitouni:19:subsequential,
author = {Wu, Wei and Zeitouni, Ofer},
title = {Subsequential tightness of the maximum of two dimensional
{G}inzburg-{L}andau fields},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {24},
year = {2019},
pages = {Paper No. 19, 12},
issn = {1083-589X},
mrclass = {60G60 (60K35)},
mrnumber = {3933043},
mrreviewer = {Xinyi\ Li},
doi = {10.1214/19-ECP215},
url = {https://doi.org/10.1214/19-ECP215}
}
@Article{ wu.zhang:06:talagrands,
author = {Wu, Liming and Zhang, Zhengliang},
title = {Talagrand's {$T_2$}-transportation inequality and
log-{S}obolev inequality for dissipative {SPDE}s and
applications to reaction-diffusion equations},
journal = {Chinese Ann. Math. Ser. B},
fjournal = {Chinese Annals of Mathematics. Series B},
volume = {27},
year = {2006},
number = {3},
pages = {243--262},
issn = {0252-9599},
mrclass = {60H15 (35K57 35R60 37L40)},
mrnumber = {2239826},
mrreviewer = {Pedro Mar\'{i}n Rubio},
doi = {10.1007/s11401-005-0176-y},
url = {https://doi.org/10.1007/s11401-005-0176-y}
}
@Article{ wu.zheng:11:on,
author = {Wu, Gang and Zheng, Xiaoxin},
title = {On the well-posedness for {K}eller-{S}egel system with
fractional diffusion},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {34},
year = {2011},
number = {14},
pages = {1739--1750},
issn = {0170-4214},
mrclass = {35R11 (35B30 35G55 42B25 92C17)},
mrnumber = {2833827},
doi = {10.1002/mma.1480},
url = {https://doi.org/10.1002/mma.1480}
}
@Article{ wu:17:new,
author = {Wu, Qiong},
title = {A new type of the {G}ronwall-{B}ellman inequality and its
application to fractional stochastic differential
equations},
journal = {Cogent Math.},
fjournal = {Cogent Mathematics},
volume = {4},
year = {2017},
pages = {Art. ID 1279781, 13},
issn = {2331-1835},
mrclass = {26D15 (26A33 34A08 34F05 60G22 60H10)},
mrnumber = {3772221},
doi = {10.1080/23311835.2017.1279781},
url = {https://doi.org/10.1080/23311835.2017.1279781}
}
@Article{ wuthrich:98:fluctuation,
author = {W\"{u}thrich, Mario V.},
title = {Fluctuation results for {B}rownian motion in a
{P}oissonian potential},
journal = {Ann. Inst. H. Poincar\'{e} Probab. Statist.},
fjournal = {Annales de l'Institut Henri Poincar\'{e}. Probabilit\'{e}s
et Statistiques},
volume = {34},
year = {1998},
number = {3},
pages = {279--308},
issn = {0246-0203},
mrclass = {60J65 (60K35)},
mrnumber = {1625875},
mrreviewer = {Ingemar Kaj},
doi = {10.1016/S0246-0203(98)80013-7},
url = {https://doi.org/10.1016/S0246-0203(98)80013-7}
}
@Article{ wuthrich:98:superdiffusive,
author = {W\"{u}thrich, Mario V.},
title = {Superdiffusive behavior of two-dimensional {B}rownian
motion in a {P}oissonian potential},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {26},
year = {1998},
number = {3},
pages = {1000--1015},
issn = {0091-1798},
mrclass = {60K35 (82B44)},
mrnumber = {1634412},
mrreviewer = {Anton Bovier},
doi = {10.1214/aop/1022855742},
url = {https://doi.org/10.1214/aop/1022855742}
}
@Article{ wyss:86:fractional,
author = {Wyss, Walter},
title = {The fractional diffusion equation},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {27},
year = {1986},
number = {11},
pages = {2782--2785},
issn = {0022-2488},
mrclass = {44A15 (33A30 35Q20)},
mrnumber = {861345},
mrreviewer = {C. L. Koul},
doi = {10.1063/1.527251},
url = {https://doi.org/10.1063/1.527251}
}
@Article{ xiang.zhang:05:small,
author = {Xiang, Kai-Nan and Zhang, Tu-Sheng},
title = {Small time asymptotics for {F}leming-{V}iot processes},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {8},
year = {2005},
number = {4},
pages = {605--630},
issn = {0219-0257},
mrclass = {60F10 (60G57 60J60)},
mrnumber = {2184086},
mrreviewer = {Wolfgang K\"{o}nig},
doi = {10.1142/S0219025705002177},
url = {https://doi.org/10.1142/S0219025705002177}
}
@Article{ xiang:15:boundedness,
author = {Xiang, Tian},
title = {Boundedness and global existence in the higher-dimensional
parabolic-parabolic chemotaxis system with/without growth
source},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {258},
year = {2015},
number = {12},
pages = {4275--4323},
issn = {0022-0396},
mrclass = {35K51 (35A01 35B44 35K59 92C17)},
mrnumber = {3327554},
mrreviewer = {Daniela Giachetti},
doi = {10.1016/j.jde.2015.01.032},
url = {https://doi.org/10.1016/j.jde.2015.01.032}
}
@Article{ xiang:18:chemotactic,
author = {Xiang, Tian},
title = {Chemotactic aggregation versus logistic damping on
boundedness in the 3{D} minimal {K}eller-{S}egel model},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {78},
year = {2018},
number = {5},
pages = {2420--2438},
issn = {0036-1399},
mrclass = {35K51 (35A01 35B30 35B44 35K57 92C17)},
mrnumber = {3852723},
mrreviewer = {Jingyu Li},
doi = {10.1137/17M1150475},
url = {https://doi.org/10.1137/17M1150475}
}
@Article{ xiang:18:how,
author = {Xiang, Tian},
title = {How strong a logistic damping can prevent blow-up for the
minimal {K}eller-{S}egel chemotaxis system?},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {459},
year = {2018},
number = {2},
pages = {1172--1200},
issn = {0022-247X},
mrclass = {92C17 (35B40 35B44 35K51 35K59)},
mrnumber = {3732580},
doi = {10.1016/j.jmaa.2017.11.022},
url = {https://doi.org/10.1016/j.jmaa.2017.11.022}
}
@Article{ xiang:18:sub-logistic,
author = {Xiang, Tian},
title = {Sub-logistic source can prevent blow-up in the 2{D}
minimal {K}eller-{S}egel chemotaxis system},
journal = {J. Math. Phys.},
fjournal = {Journal of Mathematical Physics},
volume = {59},
year = {2018},
number = {8},
pages = {081502, 11},
issn = {0022-2488},
mrclass = {92C17 (35B44 35K51)},
mrnumber = {3840745},
doi = {10.1063/1.5018861},
url = {https://doi.org/10.1063/1.5018861}
}
@Article{ xiang:19:dynamics,
author = {Xiang, Tian},
title = {Dynamics in a parabolic-elliptic chemotaxis system with
growth source and nonlinear secretion},
journal = {Commun. Pure Appl. Anal.},
fjournal = {Communications on Pure and Applied Analysis},
volume = {18},
year = {2019},
number = {1},
pages = {255--284},
issn = {1534-0392},
mrclass = {35M33 (35K57 35Q92 92C17)},
mrnumber = {3845565},
doi = {10.3934/cpaa.2019014},
url = {https://doi.org/10.3934/cpaa.2019014}
}
@Article{ xiao.lin:94:dimension,
author = {Xiao, Yimin and Lin, Huonan},
title = {Dimension properties of sample paths of self-similar
processes},
note = {A Chinese summary appears in Acta Math. Sinica {\bf 38}
(1995), no. 4, 576},
journal = {Acta Math. Sinica (N.S.)},
fjournal = {Acta Mathematica Sinica. New Series},
volume = {10},
year = {1994},
number = {3},
pages = {289--300},
issn = {1000-9574},
mrclass = {60G18 (60G17)},
mrnumber = {1415699},
mrreviewer = {Makoto\ Maejima},
doi = {10.1007/BF02560719},
url = {https://doi.org/10.1007/BF02560719}
}
@Article{ xiao.liu:96:packing,
author = {Xiao, Yimin and Liu, Luqin},
title = {Packing dimension results for certain {L}evy processes and
self-similar {M}arkov processes},
journal = {Chinese J. Contemp. Math.},
fjournal = {Chinese Journal of Contemporary Mathematics},
volume = {17},
year = {1996},
number = {3},
pages = {201--209},
issn = {0898-5111,1941-1146},
mrclass = {60J30 (60G18)},
mrnumber = {1432501}
}
@Article{ xiao.liu:96:results,
author = {Xiao, Yi Min and Liu, Lu Qin},
title = {Results on the packing dimension for a class of {L}\'{e}vy
processes and self-similar {M}arkov processes},
journal = {Chinese Ann. Math. Ser. A},
fjournal = {Chinese Annals of Mathematics. Series A. Shuxue Niankan. A
Ji},
volume = {17},
year = {1996},
number = {4},
pages = {389--396},
issn = {1000-8314},
mrclass = {60J30 (60G17 60G18)},
mrnumber = {1414805}
}
@Article{ xiao.zhang:02:local,
author = {Xiao, Yimin and Zhang, Tusheng},
title = {Local times of fractional {B}rownian sheets},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {124},
year = {2002},
number = {2},
pages = {204--226},
issn = {0178-8051,1432-2064},
mrclass = {60G15 (60G17)},
mrnumber = {1936017},
mrreviewer = {H.\ Vishnu\ Hebbar},
doi = {10.1007/s004400200210},
url = {https://doi.org/10.1007/s004400200210}
}
@Article{ xiao.zheng:13:discrete,
author = {Xiao, Yimin and Zheng, Xinghua},
title = {Discrete fractal dimensions of the ranges of random walks
in {${\Bbb Z}^d$} associate with random conductances},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {156},
year = {2013},
number = {1-2},
pages = {1--26},
issn = {0178-8051,1432-2064},
mrclass = {60K37 (60F17 60G50 82C41)},
mrnumber = {3055250},
mrreviewer = {Elena\ A.\ Zhizhina},
doi = {10.1007/s00440-012-0418-3},
url = {https://doi.org/10.1007/s00440-012-0418-3}
}
@Article{ xiao:03:packing,
author = {Xiao, Yimin},
title = {The packing measure of the trajectories of multiparameter
fractional {B}rownian motion},
journal = {Math. Proc. Cambridge Philos. Soc.},
fjournal = {Mathematical Proceedings of the Cambridge Philosophical
Society},
volume = {135},
year = {2003},
number = {2},
pages = {349--373},
issn = {0305-0041,1469-8064},
mrclass = {60J65 (28A78)},
mrnumber = {2006069},
mrreviewer = {Hac\`ene\ Boutabia},
doi = {10.1017/S0305004103006753},
url = {https://doi.org/10.1017/S0305004103006753}
}
@InCollection{ xiao:04:random,
author = {Xiao, Yimin},
title = {Random fractals and {M}arkov processes},
booktitle = {Fractal geometry and applications: a jubilee of
{B}eno\^{i}t {M}andelbrot, {P}art 2},
series = {Proc. Sympos. Pure Math.},
volume = {72, Part 2},
pages = {261--338},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2004},
isbn = {0-8218-3638-2},
mrclass = {60G17 (28A78 28A80 60J25 60J60)},
mrnumber = {2112126},
mrreviewer = {Marta\ Tyran-Kami\'{n}ska},
doi = {10.1090/pspum/072.2/2112126},
url = {https://doi.org/10.1090/pspum/072.2/2112126}
}
@Article{ xiao:06:properties,
author = {Xiao, Yimin},
title = {Properties of local-nondeterminism of {G}aussian and
stable random fields and their applications},
journal = {Ann. Fac. Sci. Toulouse Math. (6)},
fjournal = {Annales de la Facult\'{e} des Sciences de Toulouse.
Math\'{e}matiques. S\'{e}rie 6},
volume = {15},
year = {2006},
number = {1},
pages = {157--193},
issn = {0240-2963,2258-7519},
mrclass = {60G60 (60G17)},
mrnumber = {2225751},
mrreviewer = {Randall\ James\ Swift},
url = {http://afst.cedram.org/item?id=AFST_2006_6_15_1_157_0}
}
@InCollection{ xiao:08:strong,
author = {Xiao, Yimin},
title = {Strong local nondeterminism and sample path properties of
{G}aussian random fields},
booktitle = {Asymptotic theory in probability and statistics with
applications},
series = {Adv. Lect. Math. (ALM)},
volume = {2},
pages = {136--176},
publisher = {Int. Press, Somerville, MA},
year = {2008},
mrclass = {60G60 (37A50 60G15 60G17)},
mrnumber = {2466984},
mrreviewer = {Dongsheng Wu}
}
@Article{ xiao:09:packing,
author = {Xiao, Yimin},
title = {A packing dimension theorem for {G}aussian random fields},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {79},
year = {2009},
number = {1},
pages = {88--97},
issn = {0167-7152,1879-2103},
mrclass = {60G60 (28A78 28A80)},
mrnumber = {2483400},
mrreviewer = {Jiang\ Lun\ Wu},
doi = {10.1016/j.spl.2008.07.022},
url = {https://doi.org/10.1016/j.spl.2008.07.022}
}
@InCollection{ xiao:09:sample,
author = {Xiao, Yimin},
title = {Sample path properties of anisotropic {G}aussian random
fields},
booktitle = {A minicourse on stochastic partial differential
equations},
series = {Lecture Notes in Math.},
volume = {1962},
pages = {145--212},
publisher = {Springer, Berlin},
year = {2009},
mrclass = {60G60 (60D05 60G15 60G17 60G18)},
mrnumber = {2508776},
mrreviewer = {Anne Estrade},
doi = {10.1007/978-3-540-85994-9\_5},
url = {https://doi.org/10.1007/978-3-540-85994-9_5}
}
@Article{ xiao:10:uniform,
author = {Xiao, Yimin},
title = {Uniform modulus of continuity of random fields},
journal = {Monatsh. Math.},
fjournal = {Monatshefte f\"{u}r Mathematik},
volume = {159},
year = {2010},
number = {1-2},
pages = {163--184},
issn = {0026-9255,1436-5081},
mrclass = {60G60 (60G17 60G18 60G52)},
mrnumber = {2564392},
mrreviewer = {Hong\ Xue},
doi = {10.1007/s00605-009-0133-z},
url = {https://doi.org/10.1007/s00605-009-0133-z}
}
@InCollection{ xiao:11:properties,
author = {Xiao, Yimin},
title = {Properties of strong local nondeterminism and local times
of stable random fields},
booktitle = {Seminar on {S}tochastic {A}nalysis, {R}andom {F}ields and
{A}pplications {VI}},
series = {Progr. Probab.},
volume = {63},
pages = {279--308},
publisher = {Birkh\"{a}user/Springer Basel AG, Basel},
year = {2011},
isbn = {978-3-0348-0020-4},
mrclass = {60G52 (60G17 60G18 60G60)},
mrnumber = {2857032},
mrreviewer = {Robert\ C.\ Dalang},
doi = {10.1007/978-3-0348-0021-1\_18},
url = {https://doi.org/10.1007/978-3-0348-0021-1_18}
}
@InCollection{ xiao:13:recent,
author = {Xiao, Yimin},
title = {Recent developments on fractal properties of {G}aussian
random fields},
booktitle = {Further developments in fractals and related fields},
series = {Trends Math.},
pages = {255--288},
publisher = {Birkh\"{a}user/Springer, New York},
year = {2013},
isbn = {978-0-8176-8399-3; 978-0-8176-8400-6},
mrclass = {60G60 (60-02 60G15 60G17)},
mrnumber = {3184196},
mrreviewer = {Anatoliy\ Malyarenko},
doi = {10.1007/978-0-8176-8400-6\_13},
url = {https://doi.org/10.1007/978-0-8176-8400-6_13}
}
@Article{ xiao:88:equivalence,
author = {Xiao, Yi Min},
title = {The equivalence problem for classes of almost periodic
functions of two variables},
journal = {J. Wuhan Univ. Natur. Sci. Ed.},
fjournal = {Journal of Wuhan University. Natural Science Edition.
Wuhan Daxue Xuebao. Lixue Ban},
year = {1988},
number = {1},
pages = {1--8},
issn = {1671-8836},
mrclass = {42B99 (42A75)},
mrnumber = {965670},
mrreviewer = {Weiyi\ Su}
}
@Article{ xiao:88:random,
author = {Xiao, Yi Min},
title = {Random power series and {$\alpha$}-{B}loch functions},
journal = {J. Math. (Wuhan)},
fjournal = {Journal of Mathematics. Shuxue Zazhi},
volume = {8},
year = {1988},
number = {1},
pages = {61--66},
issn = {0255-7797},
mrclass = {30B20 (30D60)},
mrnumber = {963379},
mrreviewer = {Ai\ Hua\ Fan}
}
@Article{ xiao:89:decomposition,
author = {Xiao, Yi Min},
title = {A decomposition theorem for infinitely differentiable
functions of two variables},
journal = {Chinese Ann. Math. Ser. A},
fjournal = {Chinese Annals of Mathematics. Series A. Shuxue Niankan. A
Ji},
volume = {10},
year = {1989},
number = {1},
pages = {18--22},
issn = {1000-8314},
mrclass = {26E10 (26B05)},
mrnumber = {1000228}
}
@Article{ xiao:89:some,
author = {Xiao, Yi Min},
title = {Some properties of random {L}egendre series},
journal = {Acta Math. Sinica},
fjournal = {Acta Mathematica Sinica. Shuxue Xuebao},
volume = {32},
year = {1989},
number = {2},
pages = {145--153},
issn = {0583-1431},
mrclass = {33C45 (60F99 60G99)},
mrnumber = {1025134}
}
@Article{ xiao:90:hausdorff,
author = {Xiao, Yi Min},
title = {The {H}ausdorff dimensions of the image, graph, and level
sets of a {G}aussian random field},
journal = {J. Wuhan Univ. Natur. Sci. Ed.},
fjournal = {Journal of Wuhan University. Natural Science Edition.
Wuhan Daxue Xuebao. Lixue Ban},
year = {1990},
number = {4},
pages = {15--24},
issn = {1671-8836},
mrclass = {60G60 (60G15 60G17)},
mrnumber = {1105897}
}
@Article{ xiao:91:fractional,
author = {Xiao, Yi Min},
title = {Fractional {B}rownian motion and {H}ausdorff dimension},
journal = {J. Math. (Wuhan)},
fjournal = {Journal of Mathematics. Shuxue Zazhi},
volume = {11},
year = {1991},
number = {2},
pages = {233--236},
issn = {0255-7797},
mrclass = {60J65 (28A78)},
mrnumber = {1139925}
}
@Article{ xiao:91:multiple,
author = {Xiao, Yi Min},
title = {Multiple points of fractional {B}rownian motion and
{H}ausdorff dimension},
journal = {Chinese Ann. Math. Ser. A},
fjournal = {Chinese Annals of Mathematics. Series A. Shuxue Niankan. A
Ji},
volume = {12},
year = {1991},
number = {5},
pages = {612--618},
issn = {1000-8314},
mrclass = {60J65 (28A78 60G17 60J25)},
mrnumber = {1153948},
mrreviewer = {Xiang\ Qun\ Yang}
}
@Article{ xiao:91:polarity,
author = {Xiao, Yi Min},
title = {Polarity and inverse images of some {G}aussian fields},
journal = {J. Math. (Wuhan)},
fjournal = {Journal of Mathematics. Shuxue Zazhi},
volume = {11},
year = {1991},
number = {1},
pages = {101--108},
issn = {0255-7797},
mrclass = {60G15 (60G60)},
mrnumber = {1139679}
}
@Article{ xiao:92:polar,
author = {Xiao, Yi Min},
title = {Polar functions for fractional {B}rownian motion},
journal = {Chinese Quart. J. Math.},
fjournal = {Chinese Quarterly Journal of Mathematics. Shuxue Jikan},
volume = {7},
year = {1992},
number = {1},
pages = {76--80},
issn = {1002-0462},
mrclass = {60J45 (60J65)},
mrnumber = {1166672}
}
@Article{ xiao:92:some,
author = {Xiao, Yi Min},
title = {Some properties of the image sets of two-parameter
{O}rnstein-{U}hlenbeck processes},
journal = {J. Math. (Wuhan)},
fjournal = {Journal of Mathematics. Shuxue Zazhi},
volume = {12},
year = {1992},
number = {2},
pages = {237--240},
issn = {0255-7797},
mrclass = {60G15 (60G60 60J65)},
mrnumber = {1205076}
}
@Article{ xiao:92:some*1,
author = {Xiao, Yi Min},
title = {Some properties of the algebraic sum of fractional
{B}rownian motions},
journal = {J. Math. (Wuhan)},
fjournal = {Journal of Mathematics. Shuxue Zazhi},
volume = {12},
year = {1992},
number = {1},
pages = {11--19},
issn = {0255-7797},
mrclass = {60J65},
mrnumber = {1204570}
}
@Article{ xiao:95:dimension,
author = {Xiao, Yi Min},
title = {Dimension results for {G}aussian vector fields and
index-{$\alpha$} stable fields},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {23},
year = {1995},
number = {1},
pages = {273--291},
issn = {0091-1798,2168-894X},
mrclass = {60G17 (60G60)},
mrnumber = {1330771},
mrreviewer = {John\ P.\ Nolan},
url = {http://links.jstor.org/sici?sici=0091-1798(199501)23:1<273:DRFGVF>2.0.CO;2-I&origin=MSN}
}
@Article{ xiao:95:self-intersection,
author = {Xiao, Yi Min},
title = {Self-intersection local times and dimensions of
{$k$}-multiple times of two-parameter
{O}rnstein-{U}hlenbeck processes},
journal = {Chinese Ann. Math. Ser. A},
fjournal = {Chinese Annals of Mathematics. Series A. Shuxue Niankan. A
Ji},
volume = {16},
year = {1995},
number = {1},
pages = {8--15},
issn = {1000-8314},
mrclass = {60J60 (60G60)},
mrnumber = {1338908},
mrreviewer = {Guang\ Lu\ Gong}
}
@Book{ xiao:96:fractal,
author = {Xiao, Yimin},
title = {Fractal measures and related properties of {G}aussian
random fields},
note = {Thesis (Ph.D.)--The Ohio State University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1996},
pages = {138},
mrclass = {99-05},
mrnumber = {2694302},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9631009}
}
@Article{ xiao:96:hausdorff,
author = {Xiao, Yimin},
title = {Hausdorff measure of the sample paths of {G}aussian random
fields},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {33},
year = {1996},
number = {4},
pages = {895--913},
issn = {0030-6126},
mrclass = {60G15 (60G18)},
mrnumber = {1435460},
mrreviewer = {Robert\ J.\ Adler},
url = {http://projecteuclid.org/euclid.ojm/1200787223}
}
@Article{ xiao:96:packing,
author = {Xiao, Yimin},
title = {Packing measure of the sample paths of fractional
{B}rownian motion},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {348},
year = {1996},
number = {8},
pages = {3193--3213},
issn = {0002-9947,1088-6850},
mrclass = {60G17 (60J65)},
mrnumber = {1370655},
mrreviewer = {Bert\ Fristedt},
doi = {10.1090/S0002-9947-96-01712-6},
url = {https://doi.org/10.1090/S0002-9947-96-01712-6}
}
@Article{ xiao:96:packing*1,
author = {Xiao, Yimin},
title = {Packing dimension, {H}ausdorff dimension and {C}artesian
product sets},
journal = {Math. Proc. Cambridge Philos. Soc.},
fjournal = {Mathematical Proceedings of the Cambridge Philosophical
Society},
volume = {120},
year = {1996},
number = {3},
pages = {535--546},
issn = {0305-0041,1469-8064},
mrclass = {28A78 (28A80)},
mrnumber = {1388205},
mrreviewer = {Claude\ Tricot},
doi = {10.1017/S030500410007506X},
url = {https://doi.org/10.1017/S030500410007506X}
}
@InCollection{ xiao:97:fractal,
author = {Xiao, Yimin},
title = {Fractal measures of the sets associated to {G}aussian
random fields},
booktitle = {Trends in probability and related analysis ({T}aipei,
1996)},
pages = {311--324},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1997},
isbn = {981-02-3290-X},
mrclass = {60G15 (60G17 60G60)},
mrnumber = {1616297}
}
@Article{ xiao:97:hausdorff,
author = {Xiao, Yimin},
title = {Hausdorff measure of the graph of fractional {B}rownian
motion},
journal = {Math. Proc. Cambridge Philos. Soc.},
fjournal = {Mathematical Proceedings of the Cambridge Philosophical
Society},
volume = {122},
year = {1997},
number = {3},
pages = {565--576},
issn = {0305-0041,1469-8064},
mrclass = {60J65},
mrnumber = {1466658},
mrreviewer = {Andr\'{e}\ Goldman},
doi = {10.1017/S0305004197001783},
url = {https://doi.org/10.1017/S0305004197001783}
}
@Article{ xiao:97:holder,
author = {Xiao, Yimin},
title = {H\"{o}lder conditions for the local times and the
{H}ausdorff measure of the level sets of {G}aussian random
fields},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {109},
year = {1997},
number = {1},
pages = {129--157},
issn = {0178-8051},
mrclass = {60G15 (60G17)},
mrnumber = {1469923},
mrreviewer = {Robert J. Adler},
doi = {10.1007/s004400050128},
url = {https://doi.org/10.1007/s004400050128}
}
@Article{ xiao:97:packing,
author = {Xiao, Yimin},
title = {Packing dimension of the image of fractional {B}rownian
motion},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {33},
year = {1997},
number = {4},
pages = {379--387},
issn = {0167-7152,1879-2103},
mrclass = {60G15 (60G17)},
mrnumber = {1458008},
doi = {10.1016/S0167-7152(96)00151-4},
url = {https://doi.org/10.1016/S0167-7152(96)00151-4}
}
@Article{ xiao:97:weak,
author = {Xiao, Yimin},
title = {Weak variation of {G}aussian processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {10},
year = {1997},
number = {4},
pages = {849--866},
issn = {0894-9840,1572-9230},
mrclass = {60G15 (60G17)},
mrnumber = {1481651},
mrreviewer = {Simeon\ M.\ Berman},
doi = {10.1023/A:1022606431629},
url = {https://doi.org/10.1023/A:1022606431629}
}
@InCollection{ xiao:98:asymptotic,
author = {Xiao, Yimin},
title = {Asymptotic results for self-similar {M}arkov processes},
booktitle = {Asymptotic methods in probability and statistics
({O}ttawa, {ON}, 1997)},
pages = {323--340},
publisher = {North-Holland, Amsterdam},
year = {1998},
isbn = {0-444-50083-9},
mrclass = {60J25 (60G18 60J55)},
mrnumber = {1661490},
mrreviewer = {Juha\ Vuolle-Apiala},
doi = {10.1016/B978-044450083-0/50022-8},
url = {https://doi.org/10.1016/B978-044450083-0/50022-8}
}
@Article{ xiao:98:hausdorff-type,
author = {Xiao, Yimin},
title = {Hausdorff-type measures of the sample paths of fractional
{B}rownian motion},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {74},
year = {1998},
number = {2},
pages = {251--272},
issn = {0304-4149,1879-209X},
mrclass = {60G15 (28A78 28A80 60G17 60G18)},
mrnumber = {1624404},
mrreviewer = {Robert\ J.\ Adler},
doi = {10.1016/S0304-4149(97)00119-1},
url = {https://doi.org/10.1016/S0304-4149(97)00119-1}
}
@Article{ xiao:98:local,
author = {Xiao, Yimin},
title = {Local times and related properties of multidimensional
iterated {B}rownian motion},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {11},
year = {1998},
number = {2},
pages = {383--408},
issn = {0894-9840,1572-9230},
mrclass = {60J55 (60J65)},
mrnumber = {1622577},
mrreviewer = {Endre\ Cs\'{a}ki},
doi = {10.1023/A:1022679721638},
url = {https://doi.org/10.1023/A:1022679721638}
}
@Article{ xiao:99:hausdorff,
author = {Xiao, Yimin},
title = {The {H}ausdorff dimension of the level sets of stable
processes in random scenery},
journal = {Acta Sci. Math. (Szeged)},
fjournal = {Acta Universitatis Szegediensis. Acta Scientiarum
Mathematicarum},
volume = {65},
year = {1999},
number = {1-2},
pages = {385--395},
issn = {0001-6969,2064-8316},
mrclass = {60G17 (60G18 60G52 60K37)},
mrnumber = {1702175},
mrreviewer = {J.\ L.\ Mijnheer}
}
@Article{ xiao:99:hitting,
author = {Xiao, Yimin},
title = {Hitting probabilities and polar sets for fractional
{B}rownian motion},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {66},
year = {1999},
number = {1-2},
pages = {121--151},
issn = {1045-1129},
mrclass = {60G15 (60G17)},
mrnumber = {1687811},
doi = {10.1080/17442509908834189},
url = {https://doi.org/10.1080/17442509908834189}
}
@Article{ xie.yang:22:smoluchowski-kramers,
author = {Xie, Longjie and Yang, Li},
title = {The {S}moluchowski-{K}ramers limits of stochastic
differential equations with irregular coefficients},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {150},
year = {2022},
pages = {91--115},
issn = {0304-4149},
mrclass = {60H10 (60F25 60J60)},
mrnumber = {4419570},
doi = {10.1016/j.spa.2022.04.016},
url = {https://doi.org/10.1016/j.spa.2022.04.016}
}
@Article{ xie:16:some,
author = {Xie, Bin},
title = {Some effects of the noise intensity upon non-linear
stochastic heat equations on {$[0,1]$}},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {126},
year = {2016},
number = {4},
pages = {1184--1205},
issn = {0304-4149},
mrclass = {60H15 (35K58 35R60)},
mrnumber = {3461195},
doi = {10.1016/j.spa.2015.10.014},
url = {https://doi.org/10.1016/j.spa.2015.10.014}
}
@Article{ xie:18:intermittency,
author = {Xie, Bin},
title = {Intermittency for stochastic partial differential
equations driven by strongly inhomogeneous space-time white
noises},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {264},
year = {2018},
number = {2},
pages = {1050--1079},
issn = {0022-0396,1090-2732},
mrclass = {60H15 (35R60 60K37)},
mrnumber = {3720837},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2017.09.028},
url = {https://doi.org/10.1016/j.jde.2017.09.028}
}
@Article{ xin:00:front,
author = {Xin, Jack},
title = {Front propagation in heterogeneous media},
journal = {SIAM Rev.},
fjournal = {SIAM Review},
volume = {42},
year = {2000},
number = {2},
pages = {161--230},
issn = {0036-1445},
mrclass = {35K57 (35F20 41A60 65C20 76S05)},
mrnumber = {1778352},
mrreviewer = {Richard B. Sowers},
doi = {10.1137/S0036144599364296},
url = {https://doi.org/10.1137/S0036144599364296}
}
@Article{ xin:98:blowup,
author = {Xin, Zhouping},
title = {Blowup of smooth solutions to the compressible
{N}avier-{S}tokes equation with compact density},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {51},
year = {1998},
number = {3},
pages = {229--240},
issn = {0010-3640},
mrclass = {35Q30 (35B40 76N10)},
mrnumber = {1488513},
mrreviewer = {Emmanuel Grenier},
doi = {10.1002/(SICI)1097-0312(199803)51:3<229::AID-CPA1>3.3.CO;2-K},
url = {https://doi.org/10.1002/(SICI)1097-0312(199803)51:3<229::AID-CPA1>3.3.CO;2-K}
}
@Article{ xiong:04:stochastic,
author = {Xiong, Jie},
title = {A stochastic log-{L}aplace equation},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {3B},
pages = {2362--2388},
issn = {0091-1798},
mrclass = {60H15 (60G57 60J80)},
mrnumber = {2078543},
mrreviewer = {Achim Klenke},
doi = {10.1214/009117904000000540},
url = {https://doi.org/10.1214/009117904000000540}
}
@Article{ xiong:13:super-brownian,
author = {Xiong, Jie},
title = {Super-{B}rownian motion as the unique strong solution to
an {SPDE}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {41},
year = {2013},
number = {2},
pages = {1030--1054},
issn = {0091-1798},
mrclass = {60H15 (60J68)},
mrnumber = {3077534},
mrreviewer = {Hui He},
doi = {10.1214/12-AOP789},
url = {https://doi.org/10.1214/12-AOP789}
}
@Book{ xiong:13:three,
author = {Xiong, Jie},
title = {Three classes of nonlinear stochastic partial differential
equations},
publisher = {World Scientific Publishing Co. Pte. Ltd., Hackensack,
NJ},
year = {2013},
pages = {xii+164},
isbn = {978-981-4452-35-9},
mrclass = {60H15 (35R60 60G35 60J68 60J80)},
mrnumber = {3235846},
doi = {10.1142/8728},
url = {https://doi.org/10.1142/8728}
}
@Article{ xu.hu.ea:09:canadian,
title = {The {Canadian} traveller problem and its competitive
analysis},
author = {Xu, Yinfeng and Hu, Maolin and Su, Bing and Zhu, Binhai
and Zhu, Zhijun},
journal = {Journal of Combinatorial Optimization},
volume = {18},
number = {2},
pages = {195--205},
year = {2009},
publisher = {Springer}
}
@Article{ xu.liu.ea:07:improved,
title = {An improved {D}ijkstra's shortest path algorithm for
sparse network},
author = {Xu, MH and Liu, YQ and Huang, QL and Zhang, YX and Luan,
GF},
journal = {Applied Mathematics and Computation},
volume = {185},
number = {1},
pages = {247--254},
year = {2007},
publisher = {Elsevier}
}
@Article{ xu.wang.ea:24:change-point,
author = {Xu, Haotian and Wang, Daren and Zhao, Zifeng and Yu, Yi},
title = {Change-point inference in high-dimensional regression
models under temporal dependence},
journal = {Ann. Statist.},
fjournal = {The Annals of Statistics},
volume = {52},
year = {2024},
number = {3},
pages = {999--1026},
issn = {0090-5364},
mrclass = {62J05 (62F30 62F35 91B84)},
mrnumber = {4784067},
mrreviewer = {Ryo Okui},
doi = {10.1214/24-aos2380},
url = {https://doi.org/10.1214/24-aos2380}
}
@Article{ xu.yue.ea:16:smooth,
author = {Xu, Lihu and Yue, Wen and Zhang, Tusheng},
title = {Smooth densities of the laws of perturbed diffusion
processes},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {119},
year = {2016},
pages = {55--62},
issn = {0167-7152},
mrclass = {60H07},
mrnumber = {3555269},
mrreviewer = {Huijie Qiao},
doi = {10.1016/j.spl.2016.07.016},
url = {https://doi.org/10.1016/j.spl.2016.07.016}
}
@Article{ xu.zhang:09:large,
author = {Xu, Tiange and Zhang, Tusheng},
title = {Large deviation principles for 2-{D} stochastic
{N}avier-{S}tokes equations driven by {L}\'{e}vy processes},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {257},
year = {2009},
number = {5},
pages = {1519--1545},
issn = {0022-1236},
mrclass = {60F10 (35Q30 35R60 60G51 76M35)},
mrnumber = {2541279},
doi = {10.1016/j.jfa.2009.05.007},
url = {https://doi.org/10.1016/j.jfa.2009.05.007}
}
@Article{ xu.zhang:09:on,
author = {Xu, Tiange and Zhang, Tusheng},
title = {On the small time asymptotics of the two-dimensional
stochastic {N}avier-{S}tokes equations},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {45},
year = {2009},
number = {4},
pages = {1002--1019},
issn = {0246-0203},
mrclass = {60H15 (35Q30 35R60 60F10)},
mrnumber = {2572161},
mrreviewer = {Alassane Di\'{e}dhiou},
doi = {10.1214/08-AIHP192},
url = {https://doi.org/10.1214/08-AIHP192}
}
@Article{ xu.zhang:09:white,
author = {Xu, Tiange and Zhang, Tusheng},
title = {White noise driven {SPDE}s with reflection: existence,
uniqueness and large deviation principles},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {119},
year = {2009},
number = {10},
pages = {3453--3470},
issn = {0304-4149},
mrclass = {60H15 (60F05 60F10)},
mrnumber = {2568282},
mrreviewer = {Mohamed Mellouk},
doi = {10.1016/j.spa.2009.06.005},
url = {https://doi.org/10.1016/j.spa.2009.06.005}
}
@Article{ xu.zhang:10:large,
author = {Xu, Tiange and Zhang, Tusheng},
title = {Large deviation principles for isotropic stochastic flow
of homeomorphisms on {$S^d$}},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {10},
year = {2010},
number = {4},
pages = {465--495},
issn = {0219-4937},
mrclass = {60F10 (58J65 60H10 60J60)},
mrnumber = {2740698},
mrreviewer = {Zhongmin Qian},
doi = {10.1142/S0219493710003042},
url = {https://doi.org/10.1142/S0219493710003042}
}
@Book{ xu:93:diffusive,
author = {Xu, Lin},
title = {Diffusive scaling limit for mean zero asymmetric simple
exclusion processes},
note = {Thesis (Ph.D.)--New York University},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1993},
pages = {60},
mrclass = {Thesis},
mrnumber = {2690363},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9411154}
}
@Article{ xue.xiao:11:fractal,
author = {Xue, Yun and Xiao, Yimin},
title = {Fractal and smoothness properties of space-time {G}aussian
models},
journal = {Front. Math. China},
fjournal = {Frontiers of Mathematics in China},
volume = {6},
year = {2011},
number = {6},
pages = {1217--1248},
issn = {1673-3452,1673-3576},
mrclass = {62M40 (28A80 60G15 60G17 60G60 62M30)},
mrnumber = {2862654},
mrreviewer = {A.\ Ya.\ Olenko},
doi = {10.1007/s11464-011-0126-9},
url = {https://doi.org/10.1007/s11464-011-0126-9}
}
@Article{ yakir.zeitouni:21:minimum,
author = {Yakir, Oren and Zeitouni, Ofer},
title = {The minimum modulus of {G}aussian trigonometric
polynomials},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {245},
year = {2021},
number = {2},
pages = {543--566},
issn = {0021-2172,1565-8511},
mrclass = {60G15 (30B20 30C10 60G55)},
mrnumber = {4358255},
mrreviewer = {Zipeng\ Wang},
doi = {10.1007/s11856-021-2218-x},
url = {https://doi.org/10.1007/s11856-021-2218-x}
}
@Book{ yakubovich.luchko:94:hypergeometric,
author = {Yakubovich, Semen B. and Luchko, Yurii F.},
title = {The hypergeometric approach to integral transforms and
convolutions},
series = {Mathematics and its Applications},
volume = {287},
publisher = {Kluwer Academic Publishers Group, Dordrecht},
year = {1994},
pages = {xii+324},
isbn = {0-7923-2856-6},
mrclass = {44-02 (33C60 44A15 44A35)},
mrnumber = {1304259},
mrreviewer = {Hans-J\"{u}rgen Glaeske},
doi = {10.1007/978-94-011-1196-6},
url = {https://doi.org/10.1007/978-94-011-1196-6}
}
@Article{ yamada.watanabe:71:on,
author = {Yamada, Toshio and Watanabe, Shinzo},
title = {On the uniqueness of solutions of stochastic differential
equations},
journal = {J. Math. Kyoto Univ.},
fjournal = {Journal of Mathematics of Kyoto University},
volume = {11},
year = {1971},
pages = {155--167},
issn = {0023-608X},
mrclass = {60.75},
mrnumber = {278420},
mrreviewer = {C. P. Tsokos},
doi = {10.1215/kjm/1250523691},
url = {https://doi.org/10.1215/kjm/1250523691}
}
@Article{ yan.fuest:21:when,
author = {Yan, Jianlu and Fuest, Mario},
title = {When do {K}eller-{S}egel systems with heterogeneous
logistic sources admit generalized solutions?},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
fjournal = {Discrete and Continuous Dynamical Systems. Series B. A
Journal Bridging Mathematics and Sciences},
volume = {26},
year = {2021},
number = {8},
pages = {4093--4109},
issn = {1531-3492,1553-524X},
mrclass = {92C17 (35D99 35K55 35Q92)},
mrnumber = {4251871},
doi = {10.3934/dcdsb.2020275},
url = {https://doi.org/10.3934/dcdsb.2020275}
}
@Article{ yan.kessler.ea:90:roughening,
title = {Roughening phase transition in surface growth},
author = {Yan, Hong and Kessler, David and Sander, L. M.},
journal = {Phys. Rev. Lett.},
volume = {64},
issue = {8},
pages = {926--929},
numpages = {0},
year = {1990},
month = {Feb},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.64.926},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.64.926}
}
@Article{ yan.li:18:global,
author = {Yan, Jianlu and Li, Yuxiang},
title = {Global generalized solutions to a {K}eller-{S}egel system
with nonlinear diffusion and singular sensitivity},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {176},
year = {2018},
pages = {288--302},
issn = {0362-546X},
mrclass = {35K51 (35A01 35D30 35K59 35K65 35Q92 92C17)},
mrnumber = {3856729},
doi = {10.1016/j.na.2018.06.016},
url = {https://doi.org/10.1016/j.na.2018.06.016}
}
@Article{ yan.yang.ea:19:white,
author = {Yan, Wei and Yang, Meihua and Duan, Jinqiao},
title = {White noise driven {O}strovsky equation},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {267},
year = {2019},
number = {10},
pages = {5701--5735},
issn = {0022-0396,1090-2732},
mrclass = {35R60 (35B30 35G25 60H15)},
mrnumber = {3996783},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jde.2019.06.003},
url = {https://doi.org/10.1016/j.jde.2019.06.003}
}
@Article{ yan.yang:19:boundedness,
author = {Yan, Lijun and Yang, Zuodong},
title = {Boundedness in a quasilinear attraction--repulsion
chemotaxis system with nonlinear sensitivity and logistic
source},
journal = {Bound. Value Probl.},
fjournal = {Boundary Value Problems},
year = {2019},
pages = {Paper No. 120, 13},
issn = {1687-2762},
mrclass = {35M33 (35B41 35K59 35Q92)},
mrnumber = {3979007},
doi = {10.1186/s13661-019-1232-y},
url = {https://doi.org/10.1186/s13661-019-1232-y}
}
@Article{ yang.lee:52:statistical,
author = {Yang, C. N. and Lee, T. D.},
title = {Statistical theory of equations of state and phase
transitions. {I}. {T}heory of condensation},
journal = {Phys. Rev. (2)},
fjournal = {Physical Review. Series II},
volume = {87},
year = {1952},
pages = {404--409},
issn = {0031-899X},
mrclass = {80.1X},
mrnumber = {53028},
mrreviewer = {L. Van Hove}
}
@Article{ yang.wang.ea:22:elliptic,
author = {Yang, Saisai and Wang, Chen and Zhang, Tusheng},
title = {Elliptic equations associated with {B}rownian motion with
singular drift},
journal = {Commun. Math. Stat.},
fjournal = {Communications in Mathematics and Statistics},
volume = {10},
year = {2022},
number = {1},
pages = {101--122},
issn = {2194-6701},
mrclass = {60H30 (35J15)},
mrnumber = {4386881},
doi = {10.1007/s40304-020-00213-8},
url = {https://doi.org/10.1007/s40304-020-00213-8}
}
@Article{ yang.yang:66:one-dimensional,
author = {Yang, C. N. and Yang, C. P.},
title = {One-dimensional chain of anisotropic spin-spin
interactions},
journal = {Phys. Lett.},
fjournal = {Physics Letters},
volume = {20},
year = {1966},
pages = {9--10},
issn = {0031-9163},
mrclass = {82.99},
mrnumber = {189696}
}
@Article{ yang.zhai.ea:15:large,
author = {Yang, Xue and Zhai, Jianliang and Zhang, Tusheng},
title = {Large deviations for {SPDE}s of jump type},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {15},
year = {2015},
number = {4},
pages = {1550026, 30},
issn = {0219-4937},
mrclass = {60H15 (35R60 37L55 60F10)},
mrnumber = {3411897},
mrreviewer = {Meihua Yang},
doi = {10.1142/S0219493715500264},
url = {https://doi.org/10.1142/S0219493715500264}
}
@Article{ yang.zhai:16:spdes,
author = {Yang, Juan and Zhai, Jianliang},
title = {S{PDE}s with two reflecting walls and two singular
drifts},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {438},
year = {2016},
number = {2},
pages = {991--1009},
issn = {0022-247X,1096-0813},
mrclass = {35R60 (35A01 35A02 60H15)},
mrnumber = {3466075},
mrreviewer = {Le\ Chen},
doi = {10.1016/j.jmaa.2016.02.038},
url = {https://doi.org/10.1016/j.jmaa.2016.02.038}
}
@Article{ yang.zhang.ea:20:reflected,
author = {Yang, Xue and Zhang, Qi and Zhang, Tusheng},
title = {Reflected backward stochastic partial differential
equations in a convex domain},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {130},
year = {2020},
number = {10},
pages = {6038--6063},
issn = {0304-4149},
mrclass = {60H15 (60G46 60H10)},
mrnumber = {4140026},
mrreviewer = {Dominic Breit},
doi = {10.1016/j.spa.2020.05.002},
url = {https://doi.org/10.1016/j.spa.2020.05.002}
}
@Article{ yang.zhang:13:estimates,
author = {Yang, Xue and Zhang, Tusheng},
title = {Estimates of heat kernels with {N}eumann boundary
conditions},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {38},
year = {2013},
number = {2},
pages = {549--572},
issn = {0926-2601},
mrclass = {35K08 (35J75 60J35 60J60)},
mrnumber = {3015364},
doi = {10.1007/s11118-012-9286-9},
url = {https://doi.org/10.1007/s11118-012-9286-9}
}
@Article{ yang.zhang:14:existence,
author = {Yang, Juan and Zhang, Tusheng},
title = {Existence and uniqueness of invariant measures for {SPDE}s
with two reflecting walls},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {27},
year = {2014},
number = {3},
pages = {863--877},
issn = {0894-9840},
mrclass = {60H15 (35R60 60G10 60J25 60J35)},
mrnumber = {3245987},
mrreviewer = {Vivek S. Borkar},
doi = {10.1007/s10959-012-0448-x},
url = {https://doi.org/10.1007/s10959-012-0448-x}
}
@Article{ yang.zhang:14:mixed,
author = {Yang, Xue and Zhang, Tusheng},
title = {Mixed boundary value problems of semilinear elliptic
{PDE}s and {BSDE}s with singular coefficients},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {124},
year = {2014},
number = {7},
pages = {2442--2478},
issn = {0304-4149},
mrclass = {60H30 (35J75 35J91 35R60 60H10 60J25)},
mrnumber = {3192503},
doi = {10.1016/j.spa.2014.02.009},
url = {https://doi.org/10.1016/j.spa.2014.02.009}
}
@Article{ yang.zhang:18:backward,
author = {Yang, Saisai and Zhang, Tusheng},
title = {Backward stochastic differential equations and {D}irichlet
problems of semilinear elliptic operators with singular
coefficients},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {49},
year = {2018},
number = {2},
pages = {225--245},
issn = {0926-2601},
mrclass = {60H30 (31C25 35J25 35J61 60H10 60J60)},
mrnumber = {3824960},
mrreviewer = {Nathaniel Eldredge},
doi = {10.1007/s11118-017-9654-6},
url = {https://doi.org/10.1007/s11118-017-9654-6}
}
@Article{ yang.zhang:21:dirichlet,
author = {Yang, Saisai and Zhang, Tusheng},
title = {Dirichlet boundary value problems for elliptic operators
with measure data},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {303},
year = {2021},
pages = {42--85},
issn = {0022-0396},
mrclass = {35J05 (60H30)},
mrnumber = {4316018},
doi = {10.1016/j.jde.2021.09.010},
url = {https://doi.org/10.1016/j.jde.2021.09.010}
}
@Article{ yastrzhembskiy:21:wong-zakai,
author = {Yastrzhembskiy, Timur},
title = {Wong-{Z}akai approximation and support theorem for
semilinear stochastic partial differential equations with
finite dimensional noise in the whole space},
journal = {Stoch. Partial Differ. Equ. Anal. Comput.},
fjournal = {Stochastic Partial Differential Equations. Analysis and
Computations},
volume = {9},
year = {2021},
number = {1},
pages = {71--104},
issn = {2194-0401,2194-041X},
mrclass = {35R60 (60H15)},
mrnumber = {4218788},
mrreviewer = {Le\ Chen},
doi = {10.1007/s40072-020-00168-5},
url = {https://doi.org/10.1007/s40072-020-00168-5}
}
@Article{ yau:04:t23,
author = {Yau, Horng-Tzer},
title = {{$(\log t)^{2/3}$} law of the two dimensional asymmetric
simple exclusion process},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {159},
year = {2004},
number = {1},
pages = {377--405},
issn = {0003-486X},
mrclass = {60K35 (60J25 60J35)},
mrnumber = {2052358},
mrreviewer = {Laurent Miclo},
doi = {10.4007/annals.2004.159.377},
url = {https://doi.org/10.4007/annals.2004.159.377}
}
@Article{ ye.fishkind.ea:11:sensor,
title = {Sensor information monotonicity in disambiguation
protocols},
author = {Ye, X. and Fishkind, D.E. and Priebe, C.E.},
journal = {Journal of the Operational Research Society},
volume = {62},
pages = {142--151},
year = {2011}
}
@Article{ ye.gao.ea:07:generalized,
author = {Ye, Haiping and Gao, Jianming and Ding, Yongsheng},
title = {A generalized {G}ronwall inequality and its application to
a fractional differential equation},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {328},
year = {2007},
number = {2},
pages = {1075--1081},
issn = {0022-247X},
mrclass = {26D15 (26A33 34A12)},
mrnumber = {2290034},
doi = {10.1016/j.jmaa.2006.05.061},
url = {https://doi.org/10.1016/j.jmaa.2006.05.061}
}
@InCollection{ yezzi.nain.ea:06:on,
author = {Yezzi, A. and Nain, D. and Unal, G. and Zeitouni, O. and
Tannenbaum, A.},
title = {On a stochastic model of geometric snakes},
booktitle = {Handbook of mathematical models in computer vision},
pages = {161--174},
publisher = {Springer, New York},
year = {2006},
isbn = {978-0387-26371-7; 0-387-26371-3},
mrclass = {82C22 (60K35 65C35)},
mrnumber = {2232530},
doi = {10.1007/0-387-28831-7\_10},
url = {https://doi.org/10.1007/0-387-28831-7_10}
}
@Article{ yi.hu.ea:21:positivity,
author = {Yi, Yulian and Hu, Yaozhong and Zhao, Jingjun},
title = {Positivity preserving logarithmic {E}uler-{M}aruyama type
scheme for stochastic differential equations},
journal = {Commun. Nonlinear Sci. Numer. Simul.},
fjournal = {Communications in Nonlinear Science and Numerical
Simulation},
volume = {101},
year = {2021},
pages = {Paper No. 105895, 21},
issn = {1007-5704},
mrclass = {65C30 (60H10)},
mrnumber = {4268206},
doi = {10.1016/j.cnsns.2021.105895},
url = {https://doi.org/10.1016/j.cnsns.2021.105895}
}
@Article{ yilmaz.zeitouni:10:differing,
author = {Yilmaz, Atilla and Zeitouni, Ofer},
title = {Differing averaged and quenched large deviations for
random walks in random environments in dimensions two and
three},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {300},
year = {2010},
number = {1},
pages = {243--271},
issn = {0010-3616,1432-0916},
mrclass = {60F10 (60K37 82B41 82B44)},
mrnumber = {2725188},
mrreviewer = {Jean-Baptiste\ Bardet},
doi = {10.1007/s00220-010-1119-3},
url = {https://doi.org/10.1007/s00220-010-1119-3}
}
@Article{ yilmaz.zeitouni:19:nonconvex,
author = {Yilmaz, Atilla and Zeitouni, Ofer},
title = {Nonconvex homogenization for one-dimensional controlled
random walks in random potential},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {29},
year = {2019},
number = {1},
pages = {36--88},
issn = {1050-5164,2168-8737},
mrclass = {60K37 (35B27 35F20 35F21 93E20)},
mrnumber = {3910000},
doi = {10.1214/18-AAP1395},
url = {https://doi.org/10.1214/18-AAP1395}
}
@Article{ yin.bai.ea:88:on,
author = {Yin, Y. Q. and Bai, Z. D. and Krishnaiah, P. R.},
title = {On the limit of the largest eigenvalue of the
large-dimensional sample covariance matrix},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {78},
year = {1988},
number = {4},
pages = {509--521},
issn = {0178-8051},
mrclass = {60F15 (62H99)},
mrnumber = {950344},
mrreviewer = {S\'{a}ndor Cs\"{o}rg\H{o}},
doi = {10.1007/BF00353874},
url = {https://doi.org/10.1007/BF00353874}
}
@Article{ yoder:75:hausdorff,
author = {Yoder, Lane},
title = {The {H}ausdorff dimensions of the graph and range of
{$N$}-parameter {B}rownian motion in {$d$}-space},
journal = {Ann. Probability},
fjournal = {The Annals of Probability},
volume = {3},
year = {1975},
pages = {169--171},
issn = {0091-1798},
mrclass = {60J65 (60G17)},
mrnumber = {359033},
mrreviewer = {S. J. Taylor},
doi = {10.1214/aop/1176996458},
url = {https://doi.org/10.1214/aop/1176996458}
}
@Article{ yokota.yoshino:14:existence,
author = {Yokota, Tomomi and Yoshino, Noriaki},
title = {Existence of solutions to chemotaxis dynamics with
{L}ipschitz diffusion and superlinear growth},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {419},
year = {2014},
number = {2},
pages = {756--774},
issn = {0022-247X},
mrclass = {92C17 (35A01 35D30 35M33)},
mrnumber = {3225403},
doi = {10.1016/j.jmaa.2014.04.069},
url = {https://doi.org/10.1016/j.jmaa.2014.04.069}
}
@Article{ yokota.yoshino:15:existence,
author = {Yokota, Tomomi and Yoshino, Noriaki},
title = {Existence of solutions to chemotaxis dynamics with
logistic source},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
year = {2015},
number = {Dynamical systems, differential equations and
applications. 10th AIMS Conference. Suppl.},
pages = {1125--1133},
issn = {1078-0947},
mrclass = {92C17 (35D30 35M33 35Q92)},
mrnumber = {3462549},
doi = {10.3934/proc.2015.1125},
url = {https://doi.org/10.3934/proc.2015.1125}
}
@Article{ yoon.kim:17:global,
author = {Yoon, Changwook and Kim, Yong-Jung},
title = {Global existence and aggregation in a {K}eller-{S}egel
model with {F}okker-{P}lanck diffusion},
journal = {Acta Appl. Math.},
fjournal = {Acta Applicandae Mathematicae},
volume = {149},
year = {2017},
pages = {101--123},
issn = {0167-8019},
mrclass = {35K51 (35B35 35Q84)},
mrnumber = {3647034},
doi = {10.1007/s10440-016-0089-7},
url = {https://doi.org/10.1007/s10440-016-0089-7}
}
@Article{ yor.zambotti:04:remark,
author = {Yor, M. and Zambotti, L.},
title = {A remark about the norm of a {B}rownian bridge},
journal = {Statist. Probab. Lett.},
fjournal = {Statistics \& Probability Letters},
volume = {68},
year = {2004},
number = {3},
pages = {297--304},
issn = {0167-7152,1879-2103},
mrclass = {60J65},
mrnumber = {2083898},
mrreviewer = {I.\ Cuculescu},
doi = {10.1016/j.spl.2004.04.001},
url = {https://doi.org/10.1016/j.spl.2004.04.001}
}
@Article{ yor:80:loi,
author = {Yor, Marc},
title = {Loi de l'indice du lacet brownien, et distribution de
{H}artman-{W}atson},
journal = {Z. Wahrsch. Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {53},
year = {1980},
number = {1},
pages = {71--95},
issn = {0044-3719},
mrclass = {60J65},
mrnumber = {576898},
mrreviewer = {Michele Mastrangelo-Dehen},
doi = {10.1007/BF00531612},
url = {https://doi.org/10.1007/BF00531612}
}
@InCollection{ yor:85:renormalisation,
author = {Yor, M.},
title = {Renormalisation et convergence en loi pour les temps
locaux d'intersection du mouvement brownien dans {${\bf
R}^3$}},
booktitle = {S\'{e}minaire de probabilit\'{e}s, {XIX}, 1983/84},
series = {Lecture Notes in Math.},
volume = {1123},
pages = {350--365},
publisher = {Springer, Berlin},
year = {1985},
mrclass = {60J65 (60F17 60J85)},
mrnumber = {889494},
mrreviewer = {Yoichi \^{O}shima},
doi = {10.1007/BFb0075865},
url = {https://doi.org/10.1007/BFb0075865}
}
@Article{ yor:92:on,
author = {Yor, Marc},
title = {On some exponential functionals of {B}rownian motion},
journal = {Adv. in Appl. Probab.},
fjournal = {Advances in Applied Probability},
volume = {24},
year = {1992},
number = {3},
pages = {509--531},
issn = {0001-8678},
mrclass = {60J60 (60J55 90A09)},
mrnumber = {1174378},
mrreviewer = {L. C. G. Rogers},
doi = {10.2307/1427477},
url = {https://doi.org/10.2307/1427477}
}
@Book{ yor:92:some,
author = {Yor, Marc},
title = {Some aspects of {B}rownian motion. {P}art {I}},
series = {Lectures in Mathematics ETH Z\"{u}rich},
note = {Some special functionals},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {1992},
pages = {x+136},
isbn = {3-7643-2807-X},
mrclass = {60J65 (60H99)},
mrnumber = {1193919},
mrreviewer = {Krzysztof Burdzy}
}
@InProceedings{ yoshizawa:75:favards,
author = {Yoshizawa, Taro},
title = {Favard's condition in linear almost periodic systems},
booktitle = {International {C}onference on {D}ifferential {E}quations
({P}roc., {U}niv. {S}outhern {C}alifornia, {L}os {A}ngeles,
{C}alif., 1974)},
pages = {787--799},
publisher = {Academic Press, New York-London},
year = {1975},
mrclass = {34C99},
mrnumber = {430431},
mrreviewer = {A. M. Fink}
}
@Book{ yosida:65:functional,
author = {Yosida, K\^{o}saku},
title = {Functional analysis},
series = {Die Grundlehren der mathematischen Wissenschaften, Band
123},
publisher = {Academic Press, Inc., New York; Springer-Verlag, Berlin},
year = {1965},
pages = {xi+458},
mrclass = {47.00 (46.00)},
mrnumber = {0180824},
mrreviewer = {Ivan Singer}
}
@Book{ yosida:80:functional,
author = {Yosida, K\^{o}saku},
title = {Functional analysis},
series = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
volume = {123},
edition = {Sixth},
publisher = {Springer-Verlag, Berlin-New York},
year = {1980},
pages = {xii+501},
isbn = {3-540-10210-8},
mrclass = {46-01 (47-01)},
mrnumber = {617913}
}
@Book{ yosida:95:functional,
author = {Yosida, K{o}saku},
title = {Functional analysis},
series = {Classics in Mathematics},
note = {Reprint of the sixth (1980) edition},
publisher = {Springer-Verlag, Berlin},
year = {1995},
pages = {xii+501},
isbn = {3-540-58654-7},
mrclass = {46-01 (47-01)},
mrnumber = {1336382},
doi = {10.1007/978-3-642-61859-8},
url = {https://doi.org/10.1007/978-3-642-61859-8}
}
@Article{ young:36:inequality,
author = {Young, L. C.},
title = {An inequality of the {H}\"{o}lder type, connected with
{S}tieltjes integration},
journal = {Acta Math.},
fjournal = {Acta Mathematica},
volume = {67},
year = {1936},
number = {1},
pages = {251--282},
issn = {0001-5962},
mrclass = {DML},
mrnumber = {1555421},
doi = {10.1007/BF02401743},
url = {https://doi.org/10.1007/BF02401743}
}
@Article{ yu.wang.ea:18:global,
author = {Yu, Hao and Wang, Wei and Zheng, Sining},
title = {Global classical solutions to the
{K}eller-{S}egel-{N}avier-{S}tokes system with
matrix-valued sensitivity},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {461},
year = {2018},
number = {2},
pages = {1748--1770},
issn = {0022-247X},
mrclass = {35K51 (35A09 35B40 35K59)},
mrnumber = {3765513},
doi = {10.1016/j.jmaa.2017.12.048},
url = {https://doi.org/10.1016/j.jmaa.2017.12.048}
}
@Article{ yu.wang.ea:18:large,
author = {Yu, Shihang and Wang, Dehui and Chen, Xia},
title = {Large and moderate deviations for the total population
arising from a sub-critical {G}alton-{W}atson process with
immigration},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {31},
year = {2018},
number = {1},
pages = {41--67},
issn = {0894-9840},
mrclass = {60J80 (60F10 62G20 62M10)},
mrnumber = {3769807},
mrreviewer = {Vitali Wachtel},
doi = {10.1007/s10959-016-0706-4},
url = {https://doi.org/10.1007/s10959-016-0706-4}
}
@Article{ yu:96:on,
title = {On the max-min 0-1 knapsack problem with robust
optimization applications},
author = {Yu, Gang},
journal = {Operations Research},
volume = {44},
number = {2},
pages = {407--415},
year = {1996},
publisher = {INFORMS}
}
@InProceedings{ yuan:99:on,
title = {On the extended {Bellman-Ford} algorithm to solve
two-constrained quality of service routing problems},
author = {Yuan, Xin},
booktitle = {Proceedings Eight International Conference on Computer
Communications and Networks (Cat. No. 99EX370)},
pages = {304--310},
year = {1999},
organization = {IEEE}
}
@Article{ yue.zhang:14:elliptic,
author = {Yue, Wen and Zhang, Tusheng},
title = {Elliptic stochastic partial differential equations with
two reflecting walls},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {17},
year = {2014},
number = {4},
pages = {1450025, 16},
issn = {0219-0257},
mrclass = {60H15},
mrnumber = {3281342},
mrreviewer = {Guoli Zhou},
doi = {10.1142/S0219025714500258},
url = {https://doi.org/10.1142/S0219025714500258}
}
@Article{ yue.zhang:15:absolute,
author = {Yue, Wen and Zhang, Tusheng},
title = {Absolute continuity of the laws of perturbed diffusion
processes and perturbed reflected diffusion processes},
journal = {J. Theoret. Probab.},
fjournal = {Journal of Theoretical Probability},
volume = {28},
year = {2015},
number = {2},
pages = {587--618},
issn = {0894-9840},
mrclass = {60H07 (60H10 60J60)},
mrnumber = {3370667},
mrreviewer = {Yong Chen},
doi = {10.1007/s10959-013-0499-7},
url = {https://doi.org/10.1007/s10959-013-0499-7}
}
@Article{ yuskovych:23:on,
author = {Yuskovych, V. K.},
title = {On asymptotic behavior of solutions of stochastic
differential equations in multidimensional space},
journal = {Theory Stoch. Process.},
fjournal = {Theory of Stochastic Processes},
volume = {27},
year = {2023},
number = {1},
pages = {53--66},
issn = {0321-3900},
mrclass = {60H10},
mrnumber = {4671722}
}
@Article{ yuskovych:24:on,
author = {Yuskovych, Viktor},
title = {On the asymptotics of solutions of stochastic differential
equations with jumps},
note = {Translation of Ukra\"{\i}n. Mat. Zh. {{\bf{7}}5} (2023),
no. 11, 1570--1584},
journal = {Ukrainian Math. J.},
fjournal = {Ukrainian Mathematical Journal},
volume = {75},
year = {2024},
number = {11},
pages = {1778--1795},
issn = {0041-5995},
mrclass = {60H10},
mrnumber = {4747122}
}
@Article{ zabarankin:16:analytical,
author = {Zabarankin, Michael},
title = {Analytical solution for spheroidal drop under axisymmetric
linearized boundary conditions},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {76},
year = {2016},
number = {4},
pages = {1606--1632},
issn = {0036-1399},
mrclass = {76D07 (33E10 76D45 76W05)},
mrnumber = {3537893},
mrreviewer = {Giovanni Franco Crosta},
doi = {10.1137/15M1048471},
url = {https://doi.org/10.1137/15M1048471}
}
@Article{ zabczyk:00:stochastic,
author = {Zabczyk, Jerzy},
title = {Stochastic invariance and consistency of financial
models},
journal = {Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend.
Lincei (9) Mat. Appl.},
fjournal = {Atti della Accademia Nazionale dei Lincei. Classe di
Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei.
Serie IX. Matematica e Applicazioni},
volume = {11},
year = {2000},
number = {2},
pages = {67--80},
issn = {1120-6330},
mrclass = {60G35 (91B70)},
mrnumber = {1797512},
mrreviewer = {Monique Pontier}
}
@Article{ zabczyk:01:bellmans,
author = {Zabczyk, J.},
title = {Bellman's inclusions and excessive measures},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {21},
year = {2001},
number = {1, Acta Univ. Wratislav. No. 2298},
pages = {101--122},
issn = {0208-4147},
mrclass = {60J25 (62P20 91B28)},
mrnumber = {1869724},
mrreviewer = {Di He Hu}
}
@InCollection{ zabczyk:01:mini,
author = {Zabczyk, Jerzy},
title = {A mini course on stochastic partial differential
equations},
booktitle = {Stochastic climate models ({C}horin, 1999)},
series = {Progr. Probab.},
volume = {49},
pages = {257--284},
publisher = {Birkh\"{a}user, Basel},
year = {2001},
mrclass = {60H15},
mrnumber = {1948300}
}
@InCollection{ zabczyk:02:classical,
author = {Zabczyk, Jerzy},
title = {Classical control theory},
booktitle = {Mathematical control theory, {P}art 1, 2 ({T}rieste,
2001)},
series = {ICTP Lect. Notes, VIII},
pages = {1--57},
publisher = {Abdus Salam Int. Cent. Theoret. Phys., Trieste},
year = {2002},
mrclass = {93-01 (49-01)},
mrnumber = {1972786}
}
@Article{ zabczyk:04:more,
author = {Zabczyk, J.},
title = {More important events in the theory of stochastic
processes},
journal = {Wiadom. Mat.},
fjournal = {Roczniki Polskiego Towarzystwa Matematycznego. Seria II.
Wiadomo\'{s}ci Matematyczne},
volume = {40},
year = {2004},
pages = {77--95},
issn = {0373-8302},
mrclass = {60-03 (01A60 60Gxx)},
mrnumber = {2337175}
}
@Book{ zabczyk:04:topics,
author = {Zabczyk, Jerzy},
title = {Topics in stochastic processes},
series = {Scuola Normale Superiore di Pisa. Quaderni. [Publications
of the Scuola Normale Superiore of Pisa]},
publisher = {Scuola Normale Superiore, Pisa},
year = {2004},
pages = {x+126},
isbn = {88-7642-131-9},
mrclass = {60-02 (60G07 60G15 60G51 60H05 60J25 60J65)},
mrnumber = {2101945},
mrreviewer = {Larbi Alili}
}
@Article{ zabczyk:07:vita,
author = {Zabczyk, Jerzy},
title = {Vita: {P}rofessor {S}tefan {R}olewicz},
journal = {Control Cybernet.},
fjournal = {Control and Cybernetics},
volume = {36},
year = {2007},
number = {3},
pages = {873--884},
issn = {0324-8569},
mrclass = {01A70},
mrnumber = {2376061}
}
@Book{ zabczyk:08:mathematical,
author = {Zabczyk, Jerzy},
title = {Mathematical control theory},
series = {Modern Birkh\"{a}user Classics},
note = {An introduction, Reprint of the 1995 edition},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {2008},
pages = {x+260},
isbn = {978-0-8176-4732-2},
mrclass = {49-01 (34Dxx 47N70 93-01 93Bxx)},
mrnumber = {2348543},
doi = {10.1007/978-0-8176-4733-9},
url = {https://doi.org/10.1007/978-0-8176-4733-9}
}
@Book{ zabczyk:20:mathematical,
author = {Zabczyk, Jerzy},
title = {Mathematical control theory---an introduction},
series = {Systems \& Control: Foundations \& Applications},
edition = {Second},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {[2020] \copyright 2020},
pages = {xxvi+336},
isbn = {978-3-030-44776-2; 978-3-030-44778-6},
mrclass = {49-01 (34Dxx 47N70 93-01 93Bxx)},
mrnumber = {4211767},
doi = {10.1007/978-3-030-44778-6},
url = {https://doi.org/10.1007/978-3-030-44778-6}
}
@Book{ zabczyk:20:mathematical*1,
author = {Zabczyk, Jerzy},
title = {Mathematical control theory---an introduction},
series = {Systems \& Control: Foundations \& Applications},
note = {Second edition [of 2348543]},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {[2020] \copyright 2020},
pages = {xxvi+336},
isbn = {978-3-030-44776-2; 978-3-030-44778-6},
mrclass = {49-01 (34Dxx 47N70 93-01 93Bxx)},
mrnumber = {4211767},
doi = {10.1007/978-3-030-44778-6},
url = {https://doi.org/10.1007/978-3-030-44778-6}
}
@Article{ zabczyk:21:controllable,
author = {Zabczyk, Jerzy},
title = {Controllable systems with vanishing energy},
journal = {Ann. Polon. Math.},
fjournal = {Annales Polonici Mathematici},
volume = {127},
year = {2021},
number = {1-2},
pages = {87--98},
issn = {0066-2216,1730-6272},
mrclass = {93B05 (47N20 93C25)},
mrnumber = {4358435},
mrreviewer = {Alina\ Ilinca\ Lazu},
doi = {10.4064/ap200421-29-9},
url = {https://doi.org/10.4064/ap200421-29-9}
}
@Article{ zabczyk:21:controllable*1,
author = {Zabczyk, Jerzy},
title = {Controllable systems with vanishing energy},
journal = {Ann. Polon. Math.},
fjournal = {Annales Polonici Mathematici},
volume = {127},
year = {2021},
number = {1-2},
pages = {87--98},
issn = {0066-2216},
mrclass = {93B05 (47N20 93C25)},
mrnumber = {4358435},
doi = {10.4064/ap200421-29-9},
url = {https://doi.org/10.4064/ap200421-29-9}
}
@Article{ zabczyk:69:probabilites,
author = {Zabczyk, J.},
title = {Probabilit\'{e}s d'atteintes d'un ensemble dans les
cha\^{i}nes de {M}arkov},
journal = {Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astronom.
Phys.},
fjournal = {Bulletin de l'Acad\'{e}mie Polonaise des Sciences.
S\'{e}rie des Sciences Math\'{e}matiques, Astronomiques et
Physiques},
volume = {17},
year = {1969},
pages = {827--831},
issn = {0001-4117},
mrclass = {60.65},
mrnumber = {285054},
mrreviewer = {A.\ Fuchs}
}
@Article{ zabczyk:70:sur,
author = {Zabczyk, J.},
title = {Sur la th\'{e}orie semi-classique du potentiel pour les
processus \`a accroissements ind\'{e}pendants},
journal = {Studia Math.},
fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia
Mathematica},
volume = {35},
year = {1970},
pages = {227--247},
issn = {0039-3223,1730-6337},
mrclass = {60.62},
mrnumber = {267643},
mrreviewer = {J.\ A.\ Beekman},
doi = {10.4064/sm-35-3-227-247},
url = {https://doi.org/10.4064/sm-35-3-227-247}
}
@Article{ zabczyk:72:mathematical,
author = {Zabczyk, Jerzy},
title = {A mathematical correction problem},
journal = {Kybernetika (Prague)},
fjournal = {Kybernetika},
volume = {8},
year = {1972},
pages = {317--322},
issn = {0023-5954,1805-949X},
mrclass = {93E20},
mrnumber = {339879},
mrreviewer = {R.\ S.\ Bucy}
}
@Article{ zabczyk:72:on,
author = {Zabczyk, J.},
title = {On some integral equation},
journal = {Colloq. Math.},
fjournal = {Colloquium Mathematicum},
volume = {25},
year = {1972},
pages = {315--318},
issn = {0010-1354,1730-6302},
mrclass = {45A05},
mrnumber = {326321},
mrreviewer = {M.\ Rossler},
doi = {10.4064/cm-25-2-315-318},
url = {https://doi.org/10.4064/cm-25-2-315-318}
}
@Article{ zabczyk:73:optimal,
author = {Zabczyk, J.},
title = {Optimal control by means of switchings},
journal = {Studia Math.},
fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia
Mathematica},
volume = {45},
year = {1973},
pages = {161--171},
issn = {0039-3223,1730-6337},
mrclass = {93E20},
mrnumber = {441528},
doi = {10.4064/sm-45-2-161-171},
url = {https://doi.org/10.4064/sm-45-2-161-171}
}
@Article{ zabczyk:73:remarks,
author = {Zabczyk, J.},
title = {Remarks on stochastic derivation},
journal = {Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astronom.
Phys.},
fjournal = {Bulletin de l'Acad\'{e}mie Polonaise des Sciences.
S\'{e}rie des Sciences Math\'{e}matiques, Astronomiques et
Physiques},
volume = {21},
year = {1973},
pages = {263--269},
issn = {0001-4117},
mrclass = {60H99},
mrnumber = {321182},
mrreviewer = {M.\ Cs\"{o}rg\H{o}}
}
@InCollection{ zabczyk:73:stochastic,
author = {Zabczyk, J.},
title = {Stochastic control with at most denumerable number of
corrections},
booktitle = {Fifth {C}onference on {O}ptimization {T}echniques ({R}ome,
1973), {P}art {I}},
series = {Lecture Notes in Comput. Sci.},
volume = {Vol. 3},
pages = {370--374},
publisher = {Springer, Berlin-New York},
year = {1973},
mrclass = {93E20},
mrnumber = {456882}
}
@Article{ zabczyk:74:remarks,
author = {Zabczyk, J.},
title = {Remarks on the control of discrete-time distributed
parameter systems},
journal = {SIAM J. Control},
fjournal = {SIAM J. Control},
volume = {12},
year = {1974},
pages = {721--735},
mrclass = {49A25 (93C55)},
mrnumber = {410506},
mrreviewer = {R.\ N. P. Singh}
}
@Article{ zabczyk:75:note,
author = {Zabczyk, Jerzy},
title = {A note on the exponential stability of a matrix {R}iccati
equation of stochastic control},
journal = {Kybernetika (Prague)},
fjournal = {Kybernetika},
volume = {11},
year = {1975},
number = {3},
pages = {218--222},
issn = {0023-5954,1805-949X},
mrclass = {34D05 (93E20)},
mrnumber = {393693},
mrreviewer = {Ruth\ Curtain}
}
@Article{ zabczyk:75:note*1,
author = {Zabczyk, J.},
title = {A note on {$C\sb{0}$}-semigroups},
journal = {Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astronom.
Phys.},
fjournal = {Bulletin de l'Acad\'{e}mie Polonaise des Sciences.
S\'{e}rie des Sciences Math\'{e}matiques, Astronomiques et
Physiques},
volume = {23},
year = {1975},
number = {8},
pages = {895--898},
issn = {0001-4117},
mrclass = {47D05},
mrnumber = {383144},
mrreviewer = {Marshall\ Slemrod}
}
@InCollection{ zabczyk:75:note*2,
author = {Zabczyk, J.},
title = {A note on semipolar sets for processes with independent
increments},
booktitle = {Probability---{W}inter {S}chool ({P}roc. {F}ourth {W}inter
{S}chool, {K}arpacz, 1975)},
series = {Lecture Notes in Math.},
volume = {Vol. 472},
pages = {277--283},
publisher = {Springer, Berlin-New York},
year = {1975},
mrclass = {60J30},
mrnumber = {394895},
mrreviewer = {Jacques\ Az\'{e}ma}
}
@Article{ zabczyk:75:on,
author = {Zabczyk, Jerzy},
title = {On optimal stochastic control of discrete-time systems in
{H}ilbert space},
journal = {SIAM J. Control},
fjournal = {SIAM J. Control},
volume = {13},
year = {1975},
number = {6},
pages = {1217--1234},
mrclass = {93E20},
mrnumber = {384291},
mrreviewer = {Ruth\ Curtain}
}
@Article{ zabczyk:75:remarks,
author = {Zabczyk, J.},
title = {Remarks on the algebraic {R}iccati equation in {H}ilbert
space},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {2},
year = {1975/76},
number = {3},
pages = {251--258},
issn = {0095-4616,1432-0606},
mrclass = {93C25 (47A50 49A25 93B05)},
mrnumber = {479550},
doi = {10.1007/BF01464270},
url = {https://doi.org/10.1007/BF01464270}
}
@InCollection{ zabczyk:76:introduction,
author = {Zabczyk, J.},
title = {An introduction to probability theory},
booktitle = {Control theory and topics in functional analysis
({I}nternat. {S}em., {I}nternat. {C}entre {T}heoret.
{P}hys., {T}rieste, 1974), {V}ol. {I}},
pages = {418--462},
publisher = {Internat. Atomic Energy Agency, Vienna},
year = {1976},
mrclass = {60-01 (60G35 93EXX)},
mrnumber = {517120}
}
@InCollection{ zabczyk:76:stochastic,
author = {Zabczyk, J.},
title = {Stochastic control of discrete-time systems},
booktitle = {Control theory and topics in functional analysis
({I}nternat. {S}em., {I}nternat. {C}entre {T}heoret.
{P}hys., {T}rieste, 1974), {V}ol. {III}},
pages = {187--224},
publisher = {Internat. Atomic Energy Agency, Vienna},
year = {1976},
mrclass = {93E20},
mrnumber = {529600}
}
@Article{ zabczyk:77:infinite-dimensional,
author = {Zabczyk, Jerzy},
title = {Infinite-dimensional systems in control theory},
note = {With discussion},
journal = {Bull. Inst. Internat. Statist.},
fjournal = {Bulletin de l'Institut International de Statistique},
volume = {47},
year = {1977},
number = {2},
pages = {286--310, 311--314},
mrclass = {93C25 (93B05 93E20)},
mrnumber = {617581},
mrreviewer = {M.\ H. A. Davis}
}
@InCollection{ zabczyk:77:selection,
author = {Zabczyk, J.},
title = {A selection problem associated to a renewal process},
booktitle = {New trends in systems analysis ({P}roc. {I}nternat.
{S}ympos., {V}ersailles, 1976)},
series = {Lect. Notes Control Inf. Sci.},
volume = {Vol. 2},
pages = {508--515},
publisher = {Springer, Berlin-New York},
year = {1977},
isbn = {3-540-08406-1},
mrclass = {60G40 (62L15)},
mrnumber = {488270},
mrreviewer = {S.\ M.\ Samuels}
}
@Article{ zabczyk:77:stability,
author = {Zabczyk, Jerzy},
title = {Stability properties of the discrete {R}iccati operator
equation},
journal = {Kybernetika (Prague)},
fjournal = {Kybernetika},
volume = {13},
year = {1977},
number = {1},
pages = {1--10},
issn = {0023-5954,1805-949X},
mrclass = {93D99},
mrnumber = {453080},
mrreviewer = {K.\ B.\ Datta}
}
@Article{ zabczyk:78:on,
author = {Zabczyk, Jerzy},
title = {On decomposition of generators},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {16},
year = {1978},
number = {4},
pages = {523--534},
issn = {0363-0129},
mrclass = {47D05 (34G05)},
mrnumber = {512915},
mrreviewer = {H.\ O.\ Fattorini},
doi = {10.1137/0316035},
url = {https://doi.org/10.1137/0316035}
}
@InCollection{ zabczyk:78:semigroup,
author = {Zabczyk, Jerzy},
title = {A semigroup approach to boundary value control},
booktitle = {Control of distributed parameter systems ({P}roc. {S}econd
{IFAC} {S}ympos., {C}oventry, 1977)},
pages = {99--107},
publisher = {IFAC, D\"{u}sseldorf},
year = {1978},
isbn = {0-08-022018-5},
mrclass = {93C99},
mrnumber = {534864},
mrreviewer = {Andrzej\ W.\ Olbrot}
}
@InCollection{ zabczyk:79:introduction,
author = {Zabczyk, J.},
title = {Introduction to the theory of optimal stopping},
booktitle = {Stochastic control theory and stochastic differential
systems ({P}roc. {W}orkshop, {D}eutsch.
{F}orschungsgemeinsch., {U}niv. {B}onn, {B}ad {H}onnef,
1979)},
series = {Lect. Notes Control Inf. Sci.},
volume = {16},
pages = {227--250},
publisher = {Springer, Berlin-New York},
year = {1979},
isbn = {3-540-09480-6},
mrclass = {60G40 (62L15)},
mrnumber = {547474}
}
@InCollection{ zabczyk:79:on,
author = {Zabczyk, Jerzy},
title = {On the stability of infinite-dimensional linear stochastic
systems},
booktitle = {Probability theory ({P}apers, {VII}th {S}emester, {S}tefan
{B}anach {I}nternat. {M}ath. {C}enter, {W}arsaw, 1976)},
series = {Banach Center Publ.},
volume = {5},
pages = {273--281},
publisher = {PWN, Warsaw},
year = {1979},
isbn = {83-01-01492-X},
mrclass = {93E15 (60H10)},
mrnumber = {561486},
mrreviewer = {T.\ K.\ Sirazetdinov}
}
@InCollection{ zabczyk:79:stabilization,
author = {Zabczyk, J.},
title = {Stabilization of boundary control systems},
booktitle = {International {S}ymposium on {S}ystems {O}ptimization and
{A}nalysis ({R}ocquencourt, 1978)},
series = {Lect. Notes Control Inf. Sci.},
volume = {14},
pages = {321--332},
publisher = {Springer, Berlin-New York},
year = {1979},
isbn = {3-540-09447-4},
mrclass = {93D99 (93B05)},
mrnumber = {557355}
}
@Article{ zabczyk:80:erratum,
author = {Zabczyk, Jerzy},
title = {Erratum: ``{O}n decomposition of generators'' [{SIAM} {J}.
{C}ontrol {O}ptim. {\bf 16} (1978), no. 4, 523--534; {MR}
{\bf 58} \#23757]},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {18},
year = {1980},
number = {3},
pages = {325},
issn = {0363-0129},
mrclass = {47D05},
mrnumber = {569022},
doi = {10.1137/0318024},
url = {https://doi.org/10.1137/0318024}
}
@Article{ zabczyk:81:controllability,
author = {Zabczyk, Jerzy},
title = {Controllability of stochastic linear systems},
journal = {Systems Control Lett.},
fjournal = {Systems \& Control Letters},
volume = {1},
year = {1981/82},
number = {1},
pages = {25--31},
issn = {0167-6911,1872-7956},
mrclass = {93E99},
mrnumber = {667324},
doi = {10.1016/S0167-6911(81)80008-4},
url = {https://doi.org/10.1016/S0167-6911(81)80008-4}
}
@InCollection{ zabczyk:82:controllability,
author = {Zabczyk, J.},
title = {Controllability of stochastic systems},
booktitle = {Stochastic differential systems ({B}ad {H}onnef, 1982)},
series = {Lect. Notes Control Inf. Sci.},
volume = {43},
pages = {144--154},
publisher = {Springer, Berlin},
year = {1982},
isbn = {3-540-12061-0},
mrclass = {93E03},
mrnumber = {814113},
doi = {10.1007/BFb0044295},
url = {https://doi.org/10.1007/BFb0044295}
}
@Article{ zabczyk:83:stationary,
author = {Zabczyk, Jerzy},
title = {Stationary distribution for linear equations driven by
general noise},
journal = {Bull. Polish Acad. Sci. Math.},
fjournal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {31},
year = {1983},
number = {3-4},
pages = {197--209},
issn = {0239-7269},
mrclass = {60H10 (60G10)},
mrnumber = {742808},
mrreviewer = {Ludwig\ Arnold}
}
@InCollection{ zabczyk:83:stopping,
author = {Zabczyk, J.},
title = {Stopping games and {D}irichlet spaces},
booktitle = {Control of distributed parameter systems, 1982
({T}oulouse, 1982)},
pages = {413--417},
publisher = {IFAC, Laxenburg},
year = {1983},
isbn = {0-08-029361-1},
mrclass = {90D15 (49A60 60J45)},
mrnumber = {811257}
}
@InProceedings{ zabczyk:84:stopping,
author = {Zabczyk, J.},
title = {Stopping problems in stochastic control},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians, {V}ol. 1, 2 ({W}arsaw, 1983)},
pages = {1425--1437},
publisher = {PWN, Warsaw},
year = {1984},
isbn = {83-01-05523-5},
mrclass = {60G40 (90C40 93E05)},
mrnumber = {804789},
mrreviewer = {P.\ Neumann}
}
@Article{ zabczyk:84:stopping*1,
author = {Zabczyk, J.},
title = {Stopping games for symmetric {M}arkov processes},
journal = {Probab. Math. Statist.},
fjournal = {Probability and Mathematical Statistics},
volume = {4},
year = {1984},
number = {2},
pages = {185--196},
issn = {0208-4147},
mrclass = {49A60 (60J45 93E05)},
mrnumber = {792784},
mrreviewer = {M.\ Fukushima}
}
@Article{ zabczyk:85:exit,
author = {Zabczyk, J.},
title = {Exit problem and control theory},
journal = {Systems Control Lett.},
fjournal = {Systems \& Control Letters},
volume = {6},
year = {1985},
number = {3},
pages = {165--172},
issn = {0167-6911},
mrclass = {93E15},
mrnumber = {801866},
mrreviewer = {Kimio Kanai},
doi = {10.1016/0167-6911(85)90036-2},
url = {https://doi.org/10.1016/0167-6911(85)90036-2}
}
@InCollection{ zabczyk:85:structural,
author = {Zabczyk, J.},
title = {Structural properties and limit behaviour of linear
stochastic systems in {H}ilbert spaces},
booktitle = {Mathematical control theory},
series = {Banach Center Publ.},
volume = {14},
pages = {591--609},
publisher = {PWN, Warsaw},
year = {1985},
mrclass = {93E15 (93C25)},
mrnumber = {851253},
mrreviewer = {Akira Ichikawa}
}
@InCollection{ zabczyk:86:stability,
author = {Zabczyk, J.},
title = {Stability under small perturbations},
booktitle = {Stochastic differential systems ({B}ad {H}onnef, 1985)},
series = {Lect. Notes Control Inf. Sci.},
volume = {78},
pages = {362--367},
publisher = {Springer, Berlin},
year = {1986},
mrclass = {60H10 (58F11 58F30)},
mrnumber = {903058},
mrreviewer = {J. M. Stoyanov},
doi = {10.1007/BFb0041178},
url = {https://doi.org/10.1007/BFb0041178}
}
@InCollection{ zabczyk:87:exit,
author = {Zabczyk, J.},
title = {Exit problem for infinite-dimensional systems},
booktitle = {Stochastic partial differential equations and applications
({T}rento, 1985)},
series = {Lecture Notes in Math.},
volume = {1236},
pages = {239--257},
publisher = {Springer, Berlin},
year = {1987},
mrclass = {60H15 (58F25 58G32 60H10 93C25 93E20)},
mrnumber = {899307},
mrreviewer = {I. Gy\"{o}ngy},
doi = {10.1007/BFb0072894},
url = {https://doi.org/10.1007/BFb0072894}
}
@Article{ zabczyk:87:stable,
author = {Zabczyk, J.},
title = {Stable dynamical systems under small perturbations},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {125},
year = {1987},
number = {2},
pages = {568--588},
issn = {0022-247X},
mrclass = {60H10 (34F05 58G32 60J60 93E03)},
mrnumber = {896181},
mrreviewer = {Ludwig Arnold},
doi = {10.1016/0022-247X(87)90107-7},
url = {https://doi.org/10.1016/0022-247X(87)90107-7}
}
@InCollection{ zabczyk:89:on,
author = {Zabczyk, J.},
title = {On large deviations for stochastic evolution equations},
booktitle = {Stochastic systems and optimization ({W}arsaw, 1988)},
series = {Lect. Notes Control Inf. Sci.},
volume = {136},
pages = {240--253},
publisher = {Springer, Berlin},
year = {1989},
mrclass = {60F10 (34F05 60H10)},
mrnumber = {1180783},
doi = {10.1007/BFb0002685},
url = {https://doi.org/10.1007/BFb0002685}
}
@Article{ zabczyk:89:some,
author = {Zabczyk, J.},
title = {Some comments on stabilizability},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {19},
year = {1989},
number = {1},
pages = {1--9},
issn = {0095-4616},
mrclass = {93D15 (93C15 93D20)},
mrnumber = {955087},
mrreviewer = {Enrique Zuazua},
doi = {10.1007/BF01448189},
url = {https://doi.org/10.1007/BF01448189}
}
@InProceedings{ zabczyk:89:some*1,
author = {Zabczyk, Jerzy},
title = {Some interplays between control theory and stochastic
systems},
booktitle = {Proceedings of the 28th {IEEE} {C}onference on {D}ecision
and {C}ontrol, {V}ol. 1--3 ({T}ampa, {FL}, 1989)},
pages = {229--231},
publisher = {IEEE, New York},
year = {1989},
mrclass = {93E03 (93C25)},
mrnumber = {1038935},
mrreviewer = {Akira Ichikawa}
}
@InCollection{ zabczyk:89:symmetric,
author = {Zabczyk, J.},
title = {Symmetric solutions of semilinear stochastic equations},
booktitle = {Stochastic partial differential equations and
applications, {II} ({T}rento, 1988)},
series = {Lecture Notes in Math.},
volume = {1390},
pages = {237--256},
publisher = {Springer, Berlin},
year = {1989},
mrclass = {60H10 (60F10 60H15 60J25)},
mrnumber = {1019609},
mrreviewer = {Wlodzimierz Smolenski},
doi = {10.1007/BFb0083952},
url = {https://doi.org/10.1007/BFb0083952}
}
@InCollection{ zabczyk:91:law,
author = {Zabczyk, J.},
title = {Law equivalence of {O}rnstein-{U}hlenbeck processes},
booktitle = {Gaussian random fields ({N}agoya, 1990)},
series = {Ser. Probab. Statist.},
volume = {1},
pages = {420--432},
publisher = {World Sci. Publ., River Edge, NJ},
year = {1991},
mrclass = {60G30 (60H05 93E03)},
mrnumber = {1163628},
mrreviewer = {A. F. Gualtierotti}
}
@Book{ zabczyk:92:mathematical,
author = {Zabczyk, Jerzy},
title = {Mathematical control theory: an introduction},
series = {Systems \& Control: Foundations \& Applications},
publisher = {Birkh\"{a}user Boston, Inc., Boston, MA},
year = {1992},
pages = {x+260},
isbn = {0-8176-3645-5},
mrclass = {49-01 (34H05 47N70 49Kxx 93-01 93Bxx)},
mrnumber = {1193920}
}
@InCollection{ zabczyk:93:fractional,
author = {Zabczyk, J.},
title = {The fractional calculus and stochastic evolution
equations},
booktitle = {Barcelona {S}eminar on {S}tochastic {A}nalysis ({S}t.
{F}eliu de {G}u\'{i}xols, 1991)},
series = {Progr. Probab.},
volume = {32},
pages = {222--234},
publisher = {Birkh\"{a}user, Basel},
year = {1993},
mrclass = {60H15},
mrnumber = {1265052},
mrreviewer = {Jan I. Seidler}
}
@Book{ zabczyk:96:chance,
author = {Zabczyk, J.},
title = {Chance and decision},
series = {Scuola Normale Superiore di Pisa. Quaderni. [Publications
of the Scuola Normale Superiore of Pisa]},
note = {Stochastic control in discrete time},
publisher = {Scuola Normale Superiore, Pisa},
year = {1996},
pages = {viii+191},
mrclass = {93E20 (60G35 90A05 93C55)},
mrnumber = {1678432},
mrreviewer = {George Yin}
}
@InCollection{ zabczyk:96:pricing,
author = {Zabczyk, Jerzy},
title = {Pricing options by dynamic programming},
booktitle = {Stochastic processes and related topics ({S}iegmundsberg,
1994)},
series = {Stochastics Monogr.},
volume = {10},
pages = {153--160},
publisher = {Gordon and Breach, Yverdon},
year = {1996},
mrclass = {90A09 (90C39)},
mrnumber = {1393504}
}
@Article{ zabczyk:97:stopping,
author = {Zabczyk, Jerzy},
title = {Stopping problems on {P}olish spaces},
journal = {Ann. Univ. Mariae Curie-Sk\l odowska Sect. A},
fjournal = {Annales Universitatis Mariae Curie-Sk\l odowska. Sectio A.
Mathematica},
volume = {51},
year = {1997},
number = {1},
pages = {181--199},
issn = {0365-1029},
mrclass = {60G40 (90A09)},
mrnumber = {1610181},
mrreviewer = {Jak\v{s}a Cvitani\'{c}}
}
@Article{ zabczyk:99:infinite-dimensional,
author = {Zabczyk, J.},
title = {Infinite-dimensional diffusions in modelling and
analysis},
journal = {Jahresber. Deutsch. Math.-Verein.},
fjournal = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
volume = {101},
year = {1999},
number = {2},
pages = {47--59},
issn = {0012-0456},
mrclass = {35R15 (35R60 60J60)},
mrnumber = {1698550},
mrreviewer = {Ya. \={I}. B\={i}lopol{\cprime}s{\cprime}ka}
}
@InCollection{ zabczyk:99:parabolic,
author = {Zabczyk, J.},
title = {Parabolic equations on {H}ilbert spaces},
booktitle = {Stochastic {PDE}'s and {K}olmogorov equations in infinite
dimensions ({C}etraro, 1998)},
series = {Lecture Notes in Math.},
volume = {1715},
pages = {117--213},
publisher = {Springer, Berlin},
year = {1999},
mrclass = {35R15 (35R60 60H30 93E20)},
mrnumber = {1731796},
mrreviewer = {Andrzej Swiech},
doi = {10.1007/BFb0092419},
url = {https://doi.org/10.1007/BFb0092419}
}
@Article{ zabolitzky.stauffer:86:simulation,
title = {Simulation of large Eden clusters},
author = {Zabolitzky, J. G. and Stauffer, D.},
journal = {Phys. Rev. A},
volume = {34},
issue = {2},
pages = {1523--1530},
numpages = {0},
year = {1986},
month = {Aug},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.34.1523},
url = {https://link.aps.org/doi/10.1103/PhysRevA.34.1523}
}
@InCollection{ zabrodin:11:random,
author = {Zabrodin, A.},
title = {Random matrices and {L}aplacian growth},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {802--823},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {60B20 (30E20 35J25 82B41)},
mrnumber = {2932659}
}
@Article{ zaidi.nualart:99:burgers,
author = {Zaidi, N. Lanjri and Nualart, D.},
title = {Burgers equation driven by a space-time white noise:
absolute continuity of the solution},
journal = {Stochastics Stochastics Rep.},
fjournal = {Stochastics and Stochastics Reports},
volume = {66},
year = {1999},
number = {3-4},
pages = {273--292},
issn = {1045-1129},
mrclass = {60H15 (60H07)},
mrnumber = {1692868},
doi = {10.1080/17442509908834197},
url = {https://doi.org/10.1080/17442509908834197}
}
@Article{ zakai.zeitouni:92:when,
author = {Zakai, M. and Zeitouni, O.},
title = {When does the {R}amer formula look like the {G}irsanov
formula?},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {20},
year = {1992},
number = {3},
pages = {1436--1440},
issn = {0091-1798,2168-894X},
mrclass = {60H07 (47N30)},
mrnumber = {1175269},
mrreviewer = {David\ Nualart},
url = {http://links.jstor.org/sici?sici=0091-1798(199207)20:3<1436:WDTRFL>2.0.CO;2-B&origin=MSN}
}
@Article{ zakai:69:on,
author = {Zakai, Moshe},
title = {On the optimal filtering of diffusion processes},
journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
fjournal = {Zeitschrift f\"{u}r Wahrscheinlichkeitstheorie und
Verwandte Gebiete},
volume = {11},
year = {1969},
pages = {230--243},
mrclass = {93.60 (60.00)},
mrnumber = {242552},
mrreviewer = {R. S. Bucy},
doi = {10.1007/BF00536382},
url = {https://doi.org/10.1007/BF00536382}
}
@Article{ zakany.smirnov.ea:22:lizard,
author = {Zakany, Szabolcs and Smirnov, Stanislav and Milinkovitch,
Michel C.},
title = {Lizard skin patterns and the {I}sing model},
journal = {Phys. Rev. Lett.},
fjournal = {Physical Review Letters},
volume = {128},
year = {2022},
number = {4},
pages = {Paper No. 048102, 6},
issn = {0031-9007,1079-7114},
mrclass = {82C20},
mrnumber = {4375605},
doi = {10.1103/physrevlett.128.048102},
url = {https://doi.org/10.1103/physrevlett.128.048102}
}
@Proceedings{ zakharov:91:wave,
title = {Wave collapses},
booktitle = {Proceedings of the {I}nternational {W}orkshop on {W}ave
{C}ollapse {P}hysics held in {N}ovosibirsk, {M}arch 20--27,
1988},
author = {Zakharov, V. E.},
note = {Phys. D {{\bf{5}}2} (1991), no. 1},
publisher = {Elsevier Science B.V., Amsterdam},
year = {1991},
pages = {i--x and 1--142},
issn = {0167-2789},
mrclass = {76-06 (35-06)},
mrnumber = {1131135}
}
@Article{ zambotti:00:analytic,
author = {Zambotti, Lorenzo},
title = {An analytic approach to existence and uniqueness for
martingale problems in infinite dimensions},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {118},
year = {2000},
number = {2},
pages = {147--168},
issn = {0178-8051,1432-2064},
mrclass = {60H15 (60J60)},
mrnumber = {1790079},
mrreviewer = {Constantin\ Tudor},
doi = {10.1007/s440-000-8012-6},
url = {https://doi.org/10.1007/s440-000-8012-6}
}
@Article{ zambotti:01:reflected,
author = {Zambotti, Lorenzo},
title = {A reflected stochastic heat equation as symmetric dynamics
with respect to the 3-d {B}essel bridge},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {180},
year = {2001},
number = {1},
pages = {195--209},
issn = {0022-1236,1096-0783},
mrclass = {60H15 (35R60 60J65)},
mrnumber = {1814427},
mrreviewer = {David\ Nualart},
doi = {10.1006/jfan.2000.3685},
url = {https://doi.org/10.1006/jfan.2000.3685}
}
@Article{ zambotti:02:integration,
author = {Zambotti, Lorenzo},
title = {Integration by parts on {B}essel bridges and related
stochastic partial differential equations},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des
Sciences. Paris},
volume = {334},
year = {2002},
number = {3},
pages = {209--212},
issn = {1631-073X,1778-3569},
mrclass = {60H07 (35R60 60H15)},
mrnumber = {1891060},
mrreviewer = {Sergey\ V.\ Lototsky},
doi = {10.1016/S1631-073X(02)02254-9},
url = {https://doi.org/10.1016/S1631-073X(02)02254-9}
}
@Article{ zambotti:02:integration*1,
author = {Zambotti, Lorenzo},
title = {Integration by parts formulae on convex sets of paths and
applications to {SPDE}s with reflection},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {123},
year = {2002},
number = {4},
pages = {579--600},
issn = {0178-8051},
mrclass = {60H07 (60H15 60J55)},
mrnumber = {1921014},
mrreviewer = {Catherine Donati-Martin},
doi = {10.1007/s004400200203},
url = {https://doi.org/10.1007/s004400200203}
}
@Article{ zambotti:03:integration,
author = {Zambotti, Lorenzo},
title = {Integration by parts on {$\delta$}-{B}essel bridges,
{$\delta>3$} and related {SPDE}s},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {31},
year = {2003},
number = {1},
pages = {323--348},
issn = {0091-1798},
mrclass = {60H15 (31C25 35R60 37L40 60H07)},
mrnumber = {1959795},
mrreviewer = {Jan I. Seidler},
doi = {10.1214/aop/1046294313},
url = {https://doi.org/10.1214/aop/1046294313}
}
@Article{ zambotti:04:fluctuations,
author = {Zambotti, Lorenzo},
title = {Fluctuations for a {$\nabla\phi$} interface model with
repulsion from a wall},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {129},
year = {2004},
number = {3},
pages = {315--339},
issn = {0178-8051,1432-2064},
mrclass = {60K35 (60H15 82B24 82B41)},
mrnumber = {2128236},
mrreviewer = {Wolfgang\ Freudenberg},
doi = {10.1007/s00440-004-0335-1},
url = {https://doi.org/10.1007/s00440-004-0335-1}
}
@Article{ zambotti:04:occupation,
author = {Zambotti, Lorenzo},
title = {Occupation densities for {SPDE}s with reflection},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {32},
year = {2004},
number = {1A},
pages = {191--215},
issn = {0091-1798,2168-894X},
mrclass = {60H15 (60J55)},
mrnumber = {2040780},
mrreviewer = {Catherine\ Donati-Martin},
doi = {10.1214/aop/1078415833},
url = {https://doi.org/10.1214/aop/1078415833}
}
@Article{ zambotti:05:integration,
author = {Zambotti, Lorenzo},
title = {Integration by parts on the law of the reflecting
{B}rownian motion},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {223},
year = {2005},
number = {1},
pages = {147--178},
issn = {0022-1236,1096-0783},
mrclass = {60H07 (60J65)},
mrnumber = {2139884},
mrreviewer = {Hac\`ene\ Boutabia},
doi = {10.1016/j.jfa.2004.08.001},
url = {https://doi.org/10.1016/j.jfa.2004.08.001}
}
@Article{ zambotti:06:convergence,
author = {Zambotti, Lorenzo},
title = {Convergence of approximations of monotone gradient
systems},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {6},
year = {2006},
number = {4},
pages = {601--619},
issn = {1424-3199,1424-3202},
mrclass = {60H15 (35R60 47D07 47N30 60H10)},
mrnumber = {2267701},
mrreviewer = {Jan\ I.\ Seidler},
doi = {10.1007/s00028-006-0275-6},
url = {https://doi.org/10.1007/s00028-006-0275-6}
}
@InCollection{ zambotti:06:ito-tanakas,
author = {Zambotti, Lorenzo},
title = {It\^{o}-{T}anaka's formula for stochastic partial
differential equations driven by additive space-time white
noise},
booktitle = {Stochastic partial differential equations and
applications---{VII}},
series = {Lect. Notes Pure Appl. Math.},
volume = {245},
pages = {337--347},
publisher = {Chapman \& Hall/CRC, Boca Raton, FL},
year = {2006},
isbn = {978-0-8247-0027-0; 0-8247-0027-9},
mrclass = {60H15 (35K55 35R60 60H07)},
mrnumber = {2227240},
mrreviewer = {Jan\ I.\ Seidler},
doi = {10.1201/9781420028720.ch27},
url = {https://doi.org/10.1201/9781420028720.ch27}
}
@Article{ zambotti:08:conservative,
author = {Zambotti, Lorenzo},
title = {A conservative evolution of the {B}rownian excursion},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
pages = {no. 37, 1096--1119},
issn = {1083-6489},
mrclass = {60J65 (37L40 60G15 60H07 60H15)},
mrnumber = {2424988},
mrreviewer = {Jan\ I.\ Seidler},
doi = {10.1214/EJP.v13-525},
url = {https://doi.org/10.1214/EJP.v13-525}
}
@Article{ zambotti:08:fluctuations,
author = {Zambotti, Lorenzo},
title = {Fluctuations for a conservative interface model on a
wall},
journal = {ALEA Lat. Am. J. Probab. Math. Stat.},
fjournal = {ALEA. Latin American Journal of Probability and
Mathematical Statistics},
volume = {4},
year = {2008},
pages = {167--184},
issn = {1980-0436},
mrclass = {60K35 (60H15)},
mrnumber = {2421180},
mrreviewer = {Glauco\ Valle}
}
@Article{ zambotti:14:lequation,
author = {Zambotti, Lorenzo},
title = {L'\'{e}quation de {K}ardar-{P}arisi-{Z}hang (d'apr\`es
{M}artin {H}airer)},
journal = {Ast\'{e}risque},
fjournal = {Ast\'{e}risque},
number = {361},
year = {2014},
pages = {Exp. No. 1066, viii, 251--269},
issn = {0303-1179,2492-5926},
isbn = {978-285629-785-8},
mrclass = {35R60 (35B10 35B65 35K59 60H15 60H99 60K35)},
mrnumber = {3289283},
mrreviewer = {Wilhelm\ Stannat}
}
@Book{ zambotti:17:random,
author = {Zambotti, Lorenzo},
title = {Random obstacle problems},
series = {Lecture Notes in Mathematics},
volume = {2181},
note = {Lecture notes from the 45th Probability Summer School held
in Saint-Flour, 2015},
publisher = {Springer, Cham},
year = {2017},
pages = {ix+162},
isbn = {978-3-319-52095-7; 978-3-319-52096-4},
mrclass = {60H15 (35K86 35R35 35R60 60J55)},
mrnumber = {3616274},
mrreviewer = {Sergey\ V.\ Lototsky},
doi = {10.1007/978-3-319-52096-4},
url = {https://doi.org/10.1007/978-3-319-52096-4}
}
@InCollection{ zambotti:18:spdes,
author = {Zambotti, Lorenzo},
title = {S{PDE}s and renormalisation},
booktitle = {Stochastic partial differential equations and related
fields},
series = {Springer Proc. Math. Stat.},
volume = {229},
pages = {271--277},
publisher = {Springer, Cham},
year = {2018},
isbn = {978-3-319-74929-7; 978-3-319-74928-0},
mrclass = {60H15 (82C28)},
mrnumber = {3828174},
doi = {10.1007/978-3-319-74929-7\_16},
url = {https://doi.org/10.1007/978-3-319-74929-7_16}
}
@Article{ zambotti:21:brief,
author = {Zambotti, Lorenzo},
title = {A brief and personal history of stochastic partial
differential equations},
journal = {Discrete Contin. Dyn. Syst.},
fjournal = {Discrete and Continuous Dynamical Systems. Series A},
volume = {41},
year = {2021},
number = {1},
pages = {471--487},
issn = {1078-0947,1553-5231},
mrclass = {60H15 (01A60 01A65 60-02 60-03)},
mrnumber = {4182330},
doi = {10.3934/dcds.2020264},
url = {https://doi.org/10.3934/dcds.2020264}
}
@Article{ zambotti:99:infinite-dimensional,
author = {Zambotti, Lorenzo},
title = {Infinite-dimensional elliptic and stochastic equations
with {H}\"{o}lder-continuous coefficients},
journal = {Stochastic Anal. Appl.},
fjournal = {Stochastic Analysis and Applications},
volume = {17},
year = {1999},
number = {3},
pages = {487--508},
issn = {0736-2994,1532-9356},
mrclass = {35R15 (35J15 35R60 60H15)},
mrnumber = {1686963},
mrreviewer = {Stanis\l aw\ W\polhk{e}drychowicz},
doi = {10.1080/07362999908809614},
url = {https://doi.org/10.1080/07362999908809614}
}
@Article{ zanon.derrida:88:weak,
author = {Zanon, N. and Derrida, B.},
title = {Weak disorder expansion of {L}iapunov exponents in a
degenerate case},
journal = {J. Statist. Phys.},
fjournal = {Journal of Statistical Physics},
volume = {50},
year = {1988},
number = {3-4},
pages = {509--528},
issn = {0022-4715,1572-9613},
mrclass = {82A42 (60K99)},
mrnumber = {939499},
mrreviewer = {W.\ Th.\ F.\ den Hollander},
doi = {10.1007/BF01026489},
url = {https://doi.org/10.1007/BF01026489}
}
@Article{ zaporozhets.kabluchko:12:random,
author = {Zaporozhets, D. N. and Kabluchko, Z.},
title = {Random determinants, mixed volumes of ellipsoids, and
zeros of {G}aussian random fields},
journal = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
(POMI)},
fjournal = {Rossiu{i}skaya Akademiya Nauk. Sankt-Peterburgskoe
Otdelenie. Matematicheskiu{i} Institut im. V. A. Steklova.
Zapiski Nauchnykh Seminarov (POMI)},
volume = {408},
year = {2012},
number = {Veroyatnost{\cprime}i Statistika. 18},
pages = {187--196, 327},
issn = {0373-2703},
mrclass = {60G60 (60D05 60G15)},
mrnumber = {3032216},
mrreviewer = {Ilya S. Molchanov},
doi = {10.1007/s10958-014-1844-9},
url = {https://doi.org/10.1007/s10958-014-1844-9}
}
@InCollection{ zaslavsky:94:fractional,
author = {Zaslavsky, G. M.},
title = {Fractional kinetic equation for {H}amiltonian chaos},
note = {Chaotic advection, tracer dynamics and turbulent
dispersion (Gavi, 1993)},
journal = {Phys. D},
fjournal = {Physica D. Nonlinear Phenomena},
volume = {76},
year = {1994},
number = {1-3},
pages = {110--122},
issn = {0167-2789},
mrclass = {58F40 (58F13 76F20 76M35)},
mrnumber = {1295881},
mrreviewer = {Helena E. Nusse},
doi = {10.1016/0167-2789(94)90254-2},
url = {https://doi.org/10.1016/0167-2789(94)90254-2}
}
@Article{ zayernouri.matzavinos:16:fractional,
author = {Zayernouri, Mohsen and Matzavinos, Anastasios},
title = {Fractional {A}dams-{B}ashforth/{M}oulton methods: an
application to the fractional {K}eller-{S}egel chemotaxis
system},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {317},
year = {2016},
pages = {1--14},
issn = {0021-9991},
mrclass = {65L06 (34A08 92C17)},
mrnumber = {3498802},
mrreviewer = {Gabriela Schranz-Kirlinger},
doi = {10.1016/j.jcp.2016.04.041},
url = {https://doi.org/10.1016/j.jcp.2016.04.041}
}
@Book{ zeidler:95:applied,
author = {Zeidler, Eberhard},
title = {Applied functional analysis},
series = {Applied Mathematical Sciences},
volume = {109},
note = {Main principles and their applications},
publisher = {Springer-Verlag, New York},
year = {1995},
pages = {xvi+404},
isbn = {0-387-94422-2},
mrclass = {00A05 (35-01 46-01 47-01 49-01 58-01)},
mrnumber = {1347692},
mrreviewer = {Jean Mawhin}
}
@Article{ zeitouni.bobrovsky:86:on,
author = {Zeitouni, O. and Bobrovsky, B. Z.},
title = {On the reference probability approach to the equations of
nonlinear filtering},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {19},
year = {1986},
number = {3},
pages = {133--149},
issn = {0090-9491},
mrclass = {60H15 (60G35)},
mrnumber = {870617},
mrreviewer = {Rajeeva\ L.\ Karandikar},
doi = {10.1080/17442508608833421},
url = {https://doi.org/10.1080/17442508608833421}
}
@Article{ zeitouni.bobrovsky:86:on*1,
author = {Zeitouni, O. and Bobrovsky, B. Z.},
title = {On the joint nonlinear filtering-smoothing of diffusion
processes},
journal = {Systems Control Lett.},
fjournal = {Systems \& Control Letters},
volume = {7},
year = {1986},
number = {4},
pages = {317--321},
issn = {0167-6911,1872-7956},
mrclass = {60G15 (93E11)},
mrnumber = {850446},
mrreviewer = {V\v{e}ra\ L\'{a}nsk\'{a}},
doi = {10.1016/0167-6911(86)90046-0},
url = {https://doi.org/10.1016/0167-6911(86)90046-0}
}
@Article{ zeitouni.dembo:87:erratum,
author = {Zeitouni, O. and Dembo, A.},
title = {Erratum: ``{A} maximum a posteriori estimator for
trajectories of diffusion processes''},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {20},
year = {1987},
number = {4},
pages = {341},
issn = {0090-9491},
mrclass = {93E11 (60G35 60J60)},
mrnumber = {885878},
mrreviewer = {R.\ S.\ Bucy}
}
@Article{ zeitouni.dembo:87:maximum,
author = {Zeitouni, O. and Dembo, A.},
title = {A maximum a posteriori estimator for trajectories of
diffusion processes},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {20},
year = {1987},
number = {3},
pages = {221--246},
issn = {0090-9491},
mrclass = {93E11 (60G35 60J60)},
mrnumber = {878313},
mrreviewer = {R.\ S.\ Bucy},
doi = {10.1080/17442508708833444},
url = {https://doi.org/10.1080/17442508708833444}
}
@Article{ zeitouni.dembo:88:exact,
author = {Zeitouni, O. and Dembo, A.},
title = {Exact filters for the estimation of the number of
transitions of finite-state continuous-time {M}arkov
processes},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {34},
year = {1988},
number = {4},
pages = {890--893},
issn = {0018-9448,1557-9654},
mrclass = {60G35 (60J27 93E10 93E11)},
mrnumber = {966763},
doi = {10.1109/18.9793},
url = {https://doi.org/10.1109/18.9793}
}
@Article{ zeitouni.dembo:88:existence,
author = {Zeitouni, O. and Dembo, A.},
title = {An existence theorem and some properties of maximum a
posteriori estimators of trajectories of diffusions},
journal = {Stochastics},
fjournal = {Stochastics},
volume = {23},
year = {1988},
number = {2},
pages = {197--218},
issn = {0090-9491},
mrclass = {93E11 (60G35 60J60 62M20)},
mrnumber = {928355},
mrreviewer = {V\v{e}ra\ L\'{a}nsk\'{a}},
doi = {10.1080/17442508808833490},
url = {https://doi.org/10.1080/17442508808833490}
}
@Article{ zeitouni.dembo:88:on,
author = {Zeitouni, Ofer and Dembo, Amir},
title = {On the maximal achievable accuracy in nonlinear filtering
problems},
journal = {IEEE Trans. Automat. Control},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Automatic Control},
volume = {33},
year = {1988},
number = {10},
pages = {965--967},
issn = {0018-9286,1558-2523},
mrclass = {93E11},
mrnumber = {959025},
doi = {10.1109/9.7256},
url = {https://doi.org/10.1109/9.7256}
}
@Article{ zeitouni.dembo:90:change,
author = {Zeitouni, O. and Dembo, A.},
title = {A change of variables formula for {S}tratonovich integrals
and existence of solutions for two-point stochastic
boundary value problems},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {84},
year = {1990},
number = {3},
pages = {411--425},
issn = {0178-8051,1432-2064},
mrclass = {60H05},
mrnumber = {1035665},
mrreviewer = {Ali\ S\"{u}leyman\ \"{U}st\"{u}nel},
doi = {10.1007/BF01197893},
url = {https://doi.org/10.1007/BF01197893}
}
@Article{ zeitouni.gutman:91:correction,
author = {Zeitouni, Ofer and Gutman, Michael},
title = {Correction to: ``{O}n universal hypotheses testing via
large deviations''},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {37},
year = {1991},
number = {3},
pages = {698},
issn = {0018-9448,1557-9654},
mrclass = {94A13 (60F10 62G10)},
mrnumber = {1145824},
mrreviewer = {Tamer\ Ba\c{s}ar}
}
@Article{ zeitouni.gutman:91:on,
author = {Zeitouni, Ofer and Gutman, Michael},
title = {On universal hypotheses testing via large deviations},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {37},
year = {1991},
number = {2},
pages = {285--290},
issn = {0018-9448,1557-9654},
mrclass = {94A13 (60F10 62G10)},
mrnumber = {1093743},
mrreviewer = {Tamer\ Ba\c{s}ar},
doi = {10.1109/18.75244},
url = {https://doi.org/10.1109/18.75244}
}
@Article{ zeitouni.zakai:92:on,
author = {Zeitouni, Ofer and Zakai, Moshe},
title = {On the optimal tracking problem},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {30},
year = {1992},
number = {2},
pages = {426--439},
issn = {0363-0129},
mrclass = {93E20 (49K45)},
mrnumber = {1149077},
mrreviewer = {Jean\ Picard},
doi = {10.1137/0330026},
url = {https://doi.org/10.1137/0330026}
}
@Article{ zeitouni.zakai:94:erratum,
author = {Zeitouni, Ofer and Zakai, Moshe},
title = {Erratum: ``{O}n the optimal tracking problem'' [{SIAM}
{J}. {C}ontrol {O}ptim. {\bf 30} (1992), no. 2, 426--439;
{MR}1149077 (92m:93054)]},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {32},
year = {1994},
number = {4},
pages = {1194},
issn = {0363-0129},
mrclass = {93E20 (49K45)},
mrnumber = {1280237},
mrreviewer = {Jean\ Picard},
doi = {10.1137/0332063},
url = {https://doi.org/10.1137/0332063}
}
@Article{ zeitouni.zelditch:10:large,
author = {Zeitouni, Ofer and Zelditch, Steve},
title = {Large deviations of empirical measures of zeros of random
polynomials},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2010},
number = {20},
pages = {3935--3992},
issn = {1073-7928,1687-0247},
mrclass = {32L10 (32A60 60F10)},
mrnumber = {2738347},
mrreviewer = {Norman\ Levenberg},
doi = {10.1093/imrn/rnp233},
url = {https://doi.org/10.1093/imrn/rnp233}
}
@Article{ zeitouni.ziv.ea:92:when,
author = {Zeitouni, Ofer and Ziv, Jacob and Merhav, Neri},
title = {When is the generalized likelihood ratio test optimal?},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {38},
year = {1992},
number = {5},
pages = {1597--1602},
issn = {0018-9448,1557-9654},
mrclass = {62F05},
mrnumber = {1178202},
doi = {10.1109/18.149515},
url = {https://doi.org/10.1109/18.149515}
}
@InCollection{ zeitouni:00:map,
author = {Zeitouni, Ofer},
title = {M{AP} estimation of diffusions---an updated account},
booktitle = {System theory: modeling, analysis and control
({C}ambridge, {MA}, 1999)},
series = {Kluwer Internat. Ser. Engrg. Comput. Sci.},
volume = {518},
pages = {145--154},
publisher = {Kluwer Acad. Publ., Boston, MA},
year = {2000},
isbn = {0-7923-8618-3},
mrclass = {60-02 (60G35 60J60 62M05)},
mrnumber = {1801489},
mrreviewer = {Ornella\ Arcudi},
doi = {10.1007/978-1-4615-5223-9\_11},
url = {https://doi.org/10.1007/978-1-4615-5223-9_11}
}
@InProceedings{ zeitouni:02:random,
author = {Zeitouni, Ofer},
title = {Random walks in random environments},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians, {V}ol. {III} ({B}eijing, 2002)},
pages = {117--127},
publisher = {Higher Ed. Press, Beijing},
year = {2002},
isbn = {7-04-008690-5},
mrclass = {60K37 (82C41 82C44)},
mrnumber = {1957524},
mrreviewer = {Didier\ Piau}
}
@InCollection{ zeitouni:04:random,
author = {Zeitouni, Ofer},
title = {Random walks in random environment},
booktitle = {Lectures on probability theory and statistics},
series = {Lecture Notes in Math.},
volume = {1837},
pages = {189--312},
publisher = {Springer, Berlin},
year = {2004},
isbn = {3-540-20832-1},
mrclass = {60K37 (60F05 60F10 60F15 60G50 82B41 82B44)},
mrnumber = {2071631},
mrreviewer = {Utkir\ Rozikov},
doi = {10.1007/978-3-540-39874-5\_2},
url = {https://doi.org/10.1007/978-3-540-39874-5_2}
}
@Article{ zeitouni:06:random,
author = {Zeitouni, Ofer},
title = {Random walks in random environments},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {39},
year = {2006},
number = {40},
pages = {R433--R464},
issn = {0305-4470,1751-8121},
mrclass = {60K37 (82C41 82C44)},
mrnumber = {2261885},
mrreviewer = {Andrew\ R.\ Wade},
doi = {10.1088/0305-4470/39/40/R01},
url = {https://doi.org/10.1088/0305-4470/39/40/R01}
}
@InCollection{ zeitouni:11:error,
author = {Zeitouni, O.},
title = {Error bounds for the nonlinear filtering of diffusion
processes},
booktitle = {The {O}xford handbook of nonlinear filtering},
pages = {561--571},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
isbn = {978-0-19-953290-2},
mrclass = {60G35 (60J60 62M20 93E11)},
mrnumber = {2884608},
mrreviewer = {George\ Yin}
}
@InCollection{ zeitouni:12:random,
author = {Zeitouni, Ofer},
title = {Random walks in random environment},
booktitle = {Computational complexity. {V}ols. 1--6},
pages = {2564--2577},
publisher = {Springer, New York},
year = {2012},
isbn = {978-1-4614-1799-6; 978-1-4614-1800-9},
mrclass = {99-03},
mrnumber = {3074632},
doi = {10.1007/978-1-4614-1800-9\_157},
url = {https://doi.org/10.1007/978-1-4614-1800-9_157}
}
@InProceedings{ zeitouni:14:work,
author = {Zeitouni, Ofer},
title = {The work of {M}artin {H}airer},
booktitle = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians---{S}eoul 2014. {V}ol. 1},
pages = {65--71},
publisher = {Kyung Moon Sa, Seoul},
year = {2014},
isbn = {978-89-6105-804-9; 978-89-6105-803-2},
mrclass = {01A70 (35R60 60H15)},
mrnumber = {3728461}
}
@InCollection{ zeitouni:16:branching,
author = {Zeitouni, Ofer},
title = {Branching random walks and {G}aussian fields},
booktitle = {Probability and statistical physics in {S}t.
{P}etersburg},
series = {Proc. Sympos. Pure Math.},
volume = {91},
pages = {437--471},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2016},
isbn = {978-1-4704-2248-6},
mrclass = {60G15 (60G70 60J80)},
mrnumber = {3526836},
mrreviewer = {Anna\ Talarczyk},
doi = {10.1090/pspum/091/01544},
url = {https://doi.org/10.1090/pspum/091/01544}
}
@InCollection{ zeitouni:16:filtering,
author = {Zeitouni, Ofer},
title = {Filtering theory: mathematics in engineering, from {G}auss
to particle filters},
booktitle = {Mathematics and society},
pages = {71--80},
publisher = {Eur. Math. Soc., Z\"{u}rich},
year = {2016},
isbn = {978-3-03719-164-4},
mrclass = {93E11 (60G35 93-03)},
mrnumber = {3497589}
}
@Article{ zeitouni:18:conversation,
author = {Zeitouni, Ofer},
title = {A conversation with {S}. {R}. {S}. {V}aradhan},
journal = {Statist. Sci.},
fjournal = {Statistical Science. A Review Journal of the Institute of
Mathematical Statistics},
volume = {33},
year = {2018},
number = {1},
pages = {126--137},
issn = {0883-4237,2168-8745},
mrclass = {60-03 (01A70)},
mrnumber = {3757509},
doi = {10.1214/17-STS634},
url = {https://doi.org/10.1214/17-STS634}
}
@Article{ zeitouni:22:random,
author = {Zeitouni, Ofer},
title = {The random matrix theory of the classical compact groups
[book review of 3971582]},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {59},
year = {2022},
number = {1},
pages = {127--131},
issn = {0273-0979,1088-9485},
mrclass = {00A17},
mrnumber = {4347203},
doi = {10.2307/1970008},
url = {https://doi.org/10.2307/1970008}
}
@Article{ zeitouni:83:on,
author = {Zeitouni, O.},
title = {On the nonexistence of stationary diffusions which satisfy
the {B}ene\v{s} condition},
journal = {Systems Control Lett.},
fjournal = {Systems \& Control Letters},
volume = {3},
year = {1983},
number = {6},
pages = {329--330},
issn = {0167-6911,1872-7956},
mrclass = {93E11},
mrnumber = {729113},
doi = {10.1016/0167-6911(83)90073-7},
url = {https://doi.org/10.1016/0167-6911(83)90073-7}
}
@Article{ zeitouni:84:extension,
author = {Zeitouni, O.},
title = {An extension of the {B}ene\v{s} filter and some
identification problems solved by nonlinear filtering
methods},
journal = {Systems Control Lett.},
fjournal = {Systems \& Control Letters},
volume = {5},
year = {1984},
number = {1},
pages = {9--17},
issn = {0167-6911,1872-7956},
mrclass = {93E11 (93E12)},
mrnumber = {768709},
mrreviewer = {G.\ Banon},
doi = {10.1016/0167-6911(84)90003-3},
url = {https://doi.org/10.1016/0167-6911(84)90003-3}
}
@Article{ zeitouni:84:on,
author = {Zeitouni, O.},
title = {On the tightness of some error bounds for the nonlinear
filtering problem},
journal = {IEEE Trans. Automat. Control},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Automatic Control},
volume = {29},
year = {1984},
number = {9},
pages = {854--857},
issn = {0018-9286,1558-2523},
mrclass = {93E11},
mrnumber = {756940},
doi = {10.1109/TAC.1984.1103661},
url = {https://doi.org/10.1109/TAC.1984.1103661}
}
@Article{ zeitouni:88:on,
author = {Zeitouni, Ofer},
title = {On the filtering of noise-contaminated signals observed
via hard limiters},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {34},
year = {1988},
number = {5},
pages = {1041--1048},
issn = {0018-9448,1557-9654},
mrclass = {93E10 (60G35 93E11 94A05)},
mrnumber = {982814},
mrreviewer = {S.\ Csibi},
doi = {10.1109/18.21227},
url = {https://doi.org/10.1109/18.21227}
}
@Article{ zeitouni:89:class,
author = {Zeitouni, Ofer},
title = {A class of adaptive control problems solved via stochastic
control},
journal = {Systems Control Lett.},
fjournal = {Systems \& Control Letters},
volume = {12},
year = {1989},
number = {1},
pages = {57--62},
issn = {0167-6911,1872-7956},
mrclass = {93C40 (93E20)},
mrnumber = {979727},
mrreviewer = {G.\ N.\ Mil{\cprime}shteu{i}n},
doi = {10.1016/0167-6911(89)90096-0},
url = {https://doi.org/10.1016/0167-6911(89)90096-0}
}
@Article{ zeitouni:89:on,
author = {Zeitouni, Ofer},
title = {On the {O}nsager-{M}achlup functional of diffusion
processes around non-{$C^2$}-curves},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {17},
year = {1989},
number = {3},
pages = {1037--1054},
issn = {0091-1798,2168-894X},
mrclass = {60J60 (60G17)},
mrnumber = {1009443},
mrreviewer = {Yoichiro\ Takahashi},
url = {http://links.jstor.org/sici?sici=0091-1798(198907)17:3<1037:OTOFOD>2.0.CO;2-6&origin=MSN}
}
@InCollection{ zeitouni:91:infinite,
author = {Zeitouni, Ofer},
title = {Infinite dimensionality results for {MAP} estimation},
booktitle = {Stochastic analysis},
pages = {513--532},
publisher = {Academic Press, Boston, MA},
year = {1991},
isbn = {0-12-481005-5},
mrclass = {60G35 (60H07 60H15 62M05 93E10)},
mrnumber = {1119848},
mrreviewer = {Jean\ Picard}
}
@Article{ zeitouni:98:superexponential,
author = {Zeitouni, O.},
title = {Superexponential decay for the {GEM} process},
journal = {J. Appl. Probab.},
fjournal = {Journal of Applied Probability},
volume = {35},
year = {1998},
number = {3},
pages = {776--781},
issn = {0021-9002,1475-6072},
mrclass = {60F10 (60G99)},
mrnumber = {1659505},
mrreviewer = {Bronius\ Riauba},
doi = {10.1017/s0021900200016429},
url = {https://doi.org/10.1017/s0021900200016429}
}
@Book{ zel-dovich.barenblatt.ea:85:mathematical,
author = {Zel{\cprime}dovich, Ya. B. and Barenblatt, G. I. and
Librovich, V. B. and Makhviladze, G. M.},
title = {The mathematical theory of combustion and explosions},
note = {Translated from the Russian by Donald H. McNeill},
publisher = {Consultants Bureau [Plenum], New York},
year = {1985},
pages = {xxi+597},
isbn = {0-306-10974-3},
mrclass = {80A25},
mrnumber = {781350},
doi = {10.1007/978-1-4613-2349-5},
url = {https://doi.org/10.1007/978-1-4613-2349-5}
}
@Article{ zel-dovich.molchanov.ea:87:intermittency,
author = {Zel{\cprime}dovich, Ya. B. and Molchanov, S. A. and
Ruzma\u{\i}kin, A. A. and Sokolov, D. D.},
title = {Intermittency in random media},
journal = {Uspekhi Fiz. Nauk},
fjournal = {Akademiya Nauk SSSR. Uspekhi Fizicheskikh Nauk},
volume = {152},
year = {1987},
number = {1},
pages = {3--32},
mrclass = {82A42 (80A30 92A40)},
mrnumber = {921018},
doi = {10.1070/PU1987v030n05ABEH002867},
url = {https://doi.org/10.1070/PU1987v030n05ABEH002867}
}
@Article{ zel-dovich.molchanov.ea:87:self-excitation,
author = {Zel{\cprime}dovich, Ya. B. and Molchanov, S. A. and
Ruzmau{i}kin, A. A. and Sokoloff, D. D.},
title = {Self-excitation of a nonlinear scalar field in a random
medium},
journal = {Proc. Nat. Acad. Sci. U.S.A.},
fjournal = {Proceedings of the National Academy of Sciences of the
United States of America},
volume = {84},
year = {1987},
number = {18},
pages = {6323--6325},
issn = {0027-8424},
mrclass = {82A42 (80A30)},
mrnumber = {907831},
mrreviewer = {V. Mastrangelo},
doi = {10.1073/pnas.84.18.6323},
url = {https://doi.org/10.1073/pnas.84.18.6323}
}
@InCollection{ zel-dovich.molchanov.ea:88:intermittency,
author = {Zel{\cprime}dovich, Ya. B. and Molchanov, S. A. and
Ruzmau{i}kin, A. A. and Sokoloff, D. D.},
title = {Intermittency, diffusion and generation in a nonstationary
random medium},
booktitle = {Mathematical physics reviews, {V}ol. 7},
series = {Soviet Sci. Rev. Sect. C: Math. Phys. Rev.},
volume = {7},
pages = {3--110},
publisher = {Harwood Academic Publ., Chur},
year = {1988},
mrclass = {82C31 (60H15 60K99 76F99 76M35 82C44 82D30)},
mrnumber = {1128327},
mrreviewer = {A. Comtet}
}
@Book{ zel-dovich.ruzmauikin.ea:90:almighty,
author = {Zel{\cprime}dovich, Ya. B. and Ruzmauikin, A. A. and
Sokoloff, D. D.},
title = {The almighty chance},
series = {World Scientific Lecture Notes in Physics},
volume = {20},
note = {Translated from the Russian by Anvar Shukurov},
publisher = {World Scientific Publishing Co., Inc., River Edge, NJ},
year = {1990},
pages = {xii+316},
isbn = {9971-50-916-4; 9971-50-917-2},
mrclass = {82-01 (00A79 82B43 82C31 82D30)},
mrnumber = {1141627},
mrreviewer = {Yu. P. Virchenko},
doi = {10.1142/9789812799197},
url = {https://doi.org/10.1142/9789812799197}
}
@Article{ zelditch:13:large,
author = {Zelditch, Steve},
title = {Large deviations of empirical measures of zeros on
{R}iemann surfaces},
journal = {Int. Math. Res. Not. IMRN},
fjournal = {International Mathematics Research Notices. IMRN},
year = {2013},
number = {3},
pages = {592--664},
issn = {1073-7928},
mrclass = {32L99 (14J60 46T12 60B10 60F10)},
mrnumber = {3021794},
mrreviewer = {Dieter H. Mayer},
doi = {10.1093/imrn/rnr274},
url = {https://doi.org/10.1093/imrn/rnr274}
}
@Book{ zeldovich.molchanov.ea:14:intermittency,
author = {Zeldovich, Ya. B. and Molchanov, S. A. and Ruzmaikin, A.
A. and Sokoloff, D. D.},
title = {Intermittency, diffusion and generation in a nonstationary
random medium},
series = {Reviews in Mathematics and Mathematical Physics},
volume = {15/1},
note = {Second edition of [ MR1128327]},
publisher = {Cambridge Scientific Publishers, Cambridge},
year = {2014},
pages = {110},
isbn = {978-1-908106-41-4},
mrclass = {76P05 (76R50 76W05)},
mrnumber = {3618897}
}
@Article{ zeldovich.molchanov.ea:87:intermittency,
doi = {10.1070/PU1987v030n05ABEH002867},
url = {https://dx.doi.org/10.1070/PU1987v030n05ABEH002867},
year = {1987},
month = {may},
volume = {30},
number = {5},
pages = {353},
author = {Ya B Zel'dovich and S A Molchanov and A A Ruzmau{i}kin and
Dmitrii D Sokolov},
title = {Intermittency in random media},
journal = {Soviet Physics Uspekhi}
}
@Article{ zhai.zhang.ea:18:moderate,
author = {Zhai, Jianliang and Zhang, Tusheng and Zheng, Wuting},
title = {Moderate deviations for stochastic models of
two-dimensional second grade fluids},
journal = {Stoch. Dyn.},
fjournal = {Stochastics and Dynamics},
volume = {18},
year = {2018},
number = {3},
pages = {1850026, 46},
issn = {0219-4937},
mrclass = {60H15 (35B25 35R60 37L55 60F05 60F10 76A05)},
mrnumber = {3804271},
doi = {10.1142/S0219493718500260},
url = {https://doi.org/10.1142/S0219493718500260}
}
@Article{ zhai.zhang.ea:20:large,
author = {Zhai, Jianliang and Zhang, Tusheng and Zheng, Wuting},
title = {Large deviations for stochastic models of two-dimensional
second grade fluids driven by {L}\'{e}vy noise},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {23},
year = {2020},
number = {4},
pages = {2050026, 34},
issn = {0219-0257},
mrclass = {60H15 (35R60 37L55 60F10 60G51)},
mrnumber = {4201033},
doi = {10.1142/S0219025720500265},
url = {https://doi.org/10.1142/S0219025720500265}
}
@Article{ zhai.zhang:15:large,
author = {Zhai, Jianliang and Zhang, Tusheng},
title = {Large deviations for 2-{D} stochastic {N}avier-{S}tokes
equations driven by multiplicative {L}\'{e}vy noises},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {21},
year = {2015},
number = {4},
pages = {2351--2392},
issn = {1350-7265},
mrclass = {60H15 (35Q30 35R60 60F10)},
mrnumber = {3378470},
mrreviewer = {Jie Xu},
doi = {10.3150/14-BEJ647},
url = {https://doi.org/10.3150/14-BEJ647}
}
@Article{ zhai.zhang:17:large,
author = {Zhai, Jianliang and Zhang, Tusheng},
title = {Large deviations for stochastic models of two-dimensional
second grade fluids},
journal = {Appl. Math. Optim.},
fjournal = {Applied Mathematics and Optimization},
volume = {75},
year = {2017},
number = {3},
pages = {471--498},
issn = {0095-4616},
mrclass = {60H15 (35R60 37L55 60F10)},
mrnumber = {3641901},
mrreviewer = {Leila Setayeshgar},
doi = {10.1007/s00245-016-9338-4},
url = {https://doi.org/10.1007/s00245-016-9338-4}
}
@Article{ zhai.zhang:20:2d,
author = {Zhai, Jianliang and Zhang, Tusheng},
title = {2{D} stochastic chemotaxis-{N}avier-{S}tokes system},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {138},
year = {2020},
pages = {307--355},
issn = {0021-7824},
mrclass = {60H15 (35Q35 35R60 76D06)},
mrnumber = {4098773},
doi = {10.1016/j.matpur.2019.12.009},
url = {https://doi.org/10.1016/j.matpur.2019.12.009}
}
@Article{ zhan:08:duality,
author = {Zhan, Dapeng},
title = {Duality of chordal {SLE}},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {174},
year = {2008},
number = {2},
pages = {309--353},
issn = {0020-9910},
mrclass = {60J67},
mrnumber = {2439609},
doi = {10.1007/s00222-008-0132-z},
url = {https://doi.org/10.1007/s00222-008-0132-z}
}
@Article{ zhan:08:reversibility,
author = {Zhan, Dapeng},
title = {Reversibility of chordal {SLE}},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {36},
year = {2008},
number = {4},
pages = {1472--1494},
issn = {0091-1798},
mrclass = {60J67},
mrnumber = {2435856},
mrreviewer = {Robert Otto Bauer},
doi = {10.1214/07-AOP366},
url = {https://doi.org/10.1214/07-AOP366}
}
@Article{ zhan:10:duality,
author = {Zhan, Dapeng},
title = {Duality of chordal {SLE}, {II}},
journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s
et Statistiques},
volume = {46},
year = {2010},
number = {3},
pages = {740--759},
issn = {0246-0203},
mrclass = {60J67 (60H05)},
mrnumber = {2682265},
doi = {10.1214/09-AIHP340},
url = {https://doi.org/10.1214/09-AIHP340}
}
@Article{ zhang.angst:20:dual-permeability,
author = "Zhang, Zhidong and Angst, Ueli",
title = "A Dual-Permeability Approach to Study Anomalous Moisture
Transport Properties of Cement-Based Materials",
journal = "Transport in Porous Media",
year = "2020",
month = "Oct",
day = "01",
volume = "135",
number = "1",
pages = "59--78",
issn = "1573-1634",
doi = "10.1007/s11242-020-01469-y",
url = "https://doi.org/10.1007/s11242-020-01469-y"
}
@Article{ zhang.li:16:attraction-repulsion,
author = {Zhang, Qingshan and Li, Yuxiang},
title = {An attraction-repulsion chemotaxis system with logistic
source},
journal = {ZAMM Z. Angew. Math. Mech.},
fjournal = {ZAMM. Zeitschrift f\"{u}r Angewandte Mathematik und
Mechanik. Journal of Applied Mathematics and Mechanics},
volume = {96},
year = {2016},
number = {5},
pages = {570--584},
issn = {0044-2267},
mrclass = {35Q92 (35A09 35B40 35D30 35M33 92C17)},
mrnumber = {3502965},
doi = {10.1002/zamm.201400311},
url = {https://doi.org/10.1002/zamm.201400311}
}
@Article{ zhang.lin.ea:22:two-dimensional,
author = {Zhang, Sheng and Lin, Guang and Tindel, Samy},
title = {Two-dimensional signature of images and texture
classification},
journal = {Proc. A.},
fjournal = {Proceedings A},
volume = {478},
year = {2022},
number = {2266},
pages = {Paper No. 20220346, 13},
issn = {1364-5021,1471-2946},
mrclass = {68U10 (60L10 68T10)},
mrnumber = {4505805},
doi = {10.1098/rspa.2022.0346},
url = {https://doi.org/10.1098/rspa.2022.0346}
}
@Article{ zhang.mu.ea:25:global,
author = {Zhang, Jing and Mu, Chunlai and Tu, Xinyu},
title = {Global existence, boundedness and large time behavior for
a chemotaxis model with singular sensitivity and nonlinear
signal production},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {32},
year = {2025},
number = {3},
pages = {Paper No. 54, 27},
issn = {1021-9722},
mrclass = {35K55 (35B45 35K40 35M33 92C17)},
mrnumber = {4902894},
doi = {10.1007/s00030-025-01060-8},
url = {https://doi.org/10.1007/s00030-025-01060-8}
}
@Article{ zhang.ran:11:backward,
author = {Zhang, Tusheng and Ran, Qikang},
title = {Backward {SDE}s and {S}obolev solutions for semilinear
parabolic {PDE}s with singular coefficients},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {14},
year = {2011},
number = {3},
pages = {517--536},
issn = {0219-0257},
mrclass = {60H30 (35K58 35R60 60H10 60J45)},
mrnumber = {2847250},
mrreviewer = {Wei Liu},
doi = {10.1142/S0219025711004481},
url = {https://doi.org/10.1142/S0219025711004481}
}
@Article{ zhang.yang.ea:22:augmented,
author = {Zhang, Sheng and Yang, Xiu and Tindel, Samy and Lin,
Guang},
title = {Augmented {G}aussian random field: theory and
computation},
journal = {Discrete Contin. Dyn. Syst. Ser. S},
fjournal = {Discrete and Continuous Dynamical Systems. Series S},
volume = {15},
year = {2022},
number = {4},
pages = {931--957},
issn = {1937-1632,1937-1179},
mrclass = {60G15 (62D10)},
mrnumber = {4396388},
doi = {10.3934/dcdss.2021098},
url = {https://doi.org/10.3934/dcdss.2021098}
}
@Article{ zhang.yang:11:white,
author = {Zhang, Tusheng and Yang, Juan},
title = {White noise driven {SPDE}s with two reflecting walls},
journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
fjournal = {Infinite Dimensional Analysis, Quantum Probability and
Related Topics},
volume = {14},
year = {2011},
number = {4},
pages = {647--659},
issn = {0219-0257},
mrclass = {60H15 (35K20 35R60)},
mrnumber = {2873834},
doi = {10.1142/S0219025711004523},
url = {https://doi.org/10.1142/S0219025711004523}
}
@Article{ zhang.zhang.ea:92:modeling,
author = {Jun Zhang and Y.-C. Zhang and P. Alstr\o{}m and M.T.
Levinsen},
title = {Modeling forest fire by a paper-burning experiment, a
realization of the interface growth mechanism},
journal = {Phys. A: Stat. Mech. Appl.},
fjournal = {Physica A: Statistical Mechanics and its Applications},
volume = {189},
number = {3},
pages = {383--389},
year = {1992},
issn = {0378--4371},
doi = {https://doi.org/10.1016/0378-4371(92)90050-Z},
url = {https://www.sciencedirect.com/science/article/pii/037843719290050Z}
}
@Article{ zhang.zhang:21:quadratic,
author = {Zhang, Rangrang and Zhang, Tusheng},
title = {Quadratic transportation cost inequality for scalar
stochastic conservation laws},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {502},
year = {2021},
number = {1},
pages = {Paper No. 125230, 26},
issn = {0022-247X},
mrclass = {49Q22 (60H15)},
mrnumber = {4243716},
mrreviewer = {Gabriel Khan},
doi = {10.1016/j.jmaa.2021.125230},
url = {https://doi.org/10.1016/j.jmaa.2021.125230}
}
@Article{ zhang.zhao:07:stationary,
author = {Zhang, Qi and Zhao, Huaizhong},
title = {Stationary solutions of {SPDE}s and infinite horizon
{BDSDE}s},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {252},
year = {2007},
number = {1},
pages = {171--219},
issn = {0022-1236},
mrclass = {60H15 (60G10 60H10)},
mrnumber = {2357354},
mrreviewer = {Fran\c{c}ois Delarue},
doi = {10.1016/j.jfa.2007.06.019},
url = {https://doi.org/10.1016/j.jfa.2007.06.019}
}
@Article{ zhang.zhu.ea:16:characteristic,
author = {Zhang, Jiansong and Zhu, Jiang and Zhang, Rongpei},
title = {Characteristic splitting mixed finite element analysis of
{K}eller-{S}egel chemotaxis models},
journal = {Appl. Math. Comput.},
fjournal = {Applied Mathematics and Computation},
volume = {278},
year = {2016},
pages = {33--44},
issn = {0096-3003},
mrclass = {65M60 (65M12 65M15 92C17)},
mrnumber = {3457640},
doi = {10.1016/j.amc.2016.01.021},
url = {https://doi.org/10.1016/j.amc.2016.01.021}
}
@Article{ zhang.zhu.ea:16:operator,
author = {Zhang, Rongpei and Zhu, Jiang and Loula, Abimael F. D. and
Yu, Xijun},
title = {Operator splitting combined with positivity-preserving
discontinuous {G}alerkin method for the chemotaxis model},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {302},
year = {2016},
pages = {312--326},
issn = {0377-0427},
mrclass = {65M60 (92C17)},
mrnumber = {3475522},
mrreviewer = {Mohammad Asadzadeh},
doi = {10.1016/j.cam.2016.02.018},
url = {https://doi.org/10.1016/j.cam.2016.02.018}
}
@Article{ zhang.zhu.ea:22:singular,
author = {Zhang, Xicheng and Zhu, Rongchan and Zhu, Xiangchan},
title = {Singular {HJB} equations with applications to {KPZ} on the
real line},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {183},
year = {2022},
number = {3-4},
pages = {789--869},
issn = {0178-8051},
mrclass = {60H15 (35R60)},
mrnumber = {4453317},
mrreviewer = {Ya. \={I}. B\={\i}lopol{\cprime}s{\cprime}ka},
doi = {10.1007/s00440-022-01137-w},
url = {https://doi.org/10.1007/s00440-022-01137-w}
}
@Article{ zhang.zlatos:24:quantitative,
author = {Zhang, Yuming Paul and Zlato\v{s}, Andrej},
title = {Quantitative homogenization for combustion in random
media},
journal = {Ann. Inst. H. Poincar\'{e} C Anal. Non Lin\'{e}aire},
fjournal = {Annales de l'Institut Henri Poincar\'{e} C. Analyse Non
Lin\'{e}aire},
volume = {41},
year = {2024},
number = {4},
pages = {853--876},
issn = {0294-1449},
mrclass = {35B27 (35K57 80A25)},
mrnumber = {4755502},
mrreviewer = {Ben W. Schweizer},
doi = {10.4171/aihpc/80},
url = {https://doi.org/10.4171/aihpc/80}
}
@Article{ zhang:06:divergence,
author = {Zhang, Yu},
title = {The divergence of fluctuations for shape in first passage
percolation},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {136},
year = {2006},
number = {2},
pages = {298--320},
issn = {0178-8051},
mrclass = {60K35},
mrnumber = {2240790},
mrreviewer = {Peter T. Otto},
doi = {10.1007/s00440-005-0488-6},
url = {https://doi.org/10.1007/s00440-005-0488-6}
}
@Article{ zhang:06:lp-theory,
author = {Zhang, Xicheng},
title = {{$L^p$}-theory of semi-linear {SPDE}s on general measure
spaces and applications},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {239},
year = {2006},
number = {1},
pages = {44--75},
issn = {0022-1236},
mrclass = {60H15 (35R60)},
mrnumber = {2258216},
mrreviewer = {Bj\"{o}rn Schmalfuss},
doi = {10.1016/j.jfa.2006.01.014},
url = {https://doi.org/10.1016/j.jfa.2006.01.014}
}
@Article{ zhang:07:large,
author = {Zhang, Tusheng},
title = {Large deviations for stochastic nonlinear beam equations},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {248},
year = {2007},
number = {1},
pages = {175--201},
issn = {0022-1236},
mrclass = {60H15 (35Q72 35R60 60F10 74H50 74K10)},
mrnumber = {2329687},
mrreviewer = {Bohdan Maslowski},
doi = {10.1016/j.jfa.2007.03.029},
url = {https://doi.org/10.1016/j.jfa.2007.03.029}
}
@Article{ zhang:07:regularities,
author = {Zhang, Xicheng},
title = {Regularities for semilinear stochastic partial
differential equations},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {249},
year = {2007},
number = {2},
pages = {454--476},
issn = {0022-1236},
mrclass = {60H15 (35R60)},
mrnumber = {2345340},
mrreviewer = {Alexander M. Kolodiu{i}},
doi = {10.1016/j.jfa.2007.03.018},
url = {https://doi.org/10.1016/j.jfa.2007.03.018}
}
@Article{ zhang:08:euler,
author = {Zhang, Xicheng},
title = {Euler schemes and large deviations for stochastic
{V}olterra equations with singular kernels},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {244},
year = {2008},
number = {9},
pages = {2226--2250},
issn = {0022-0396},
mrclass = {60H10 (60H35 65C30)},
mrnumber = {2413840},
mrreviewer = {Daniel Ocone},
doi = {10.1016/j.jde.2008.02.019},
url = {https://doi.org/10.1016/j.jde.2008.02.019}
}
@Article{ zhang:09:variational,
author = {Zhang, Tusheng},
title = {Variational inequalities and optimization for {M}arkov
processes associated with semi-{D}irichlet forms},
journal = {SIAM J. Control Optim.},
fjournal = {SIAM Journal on Control and Optimization},
volume = {48},
year = {2009},
number = {3},
pages = {1743--1755},
issn = {0363-0129},
mrclass = {60J45 (31C25 49J40 60G40 60H99 60J99 93E20)},
mrnumber = {2516186},
mrreviewer = {Arie Leizarowitz},
doi = {10.1137/080737630},
url = {https://doi.org/10.1137/080737630}
}
@Article{ zhang:09:variational*1,
author = {Zhang, Xicheng},
title = {A variational representation for random functionals on
abstract {W}iener spaces},
journal = {J. Math. Kyoto Univ.},
fjournal = {Journal of Mathematics of Kyoto University},
volume = {49},
year = {2009},
number = {3},
pages = {475--490},
issn = {0023-608X},
mrclass = {60H07 (60F10)},
mrnumber = {2583599},
doi = {10.1215/kjm/1260975036},
url = {https://doi.org/10.1215/kjm/1260975036}
}
@Article{ zhang:10:on,
author = {Zhang, Yu},
title = {On the concentration and the convergence rate with a
moment condition in first passage percolation},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {120},
year = {2010},
number = {7},
pages = {1317--1341},
issn = {0304-4149},
mrclass = {60K35},
mrnumber = {2639748},
mrreviewer = {Olivier Garet},
doi = {10.1016/j.spa.2010.03.001},
url = {https://doi.org/10.1016/j.spa.2010.03.001}
}
@Article{ zhang:10:stochastic,
author = {Zhang, Xicheng},
title = {Stochastic {V}olterra equations in {B}anach spaces and
stochastic partial differential equation},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {258},
year = {2010},
number = {4},
pages = {1361--1425},
issn = {0022-1236},
mrclass = {60H15 (60H20)},
mrnumber = {2565842},
mrreviewer = {Constantin Tudor},
doi = {10.1016/j.jfa.2009.11.006},
url = {https://doi.org/10.1016/j.jfa.2009.11.006}
}
@Article{ zhang:10:white,
author = {Zhang, Tusheng},
title = {White noise driven {SPDE}s with reflection: strong
{F}eller properties and {H}arnack inequalities},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {33},
year = {2010},
number = {2},
pages = {137--151},
issn = {0926-2601},
mrclass = {60H15 (31C45)},
mrnumber = {2658979},
mrreviewer = {Nicolas Saintier},
doi = {10.1007/s11118-009-9162-4},
url = {https://doi.org/10.1007/s11118-009-9162-4}
}
@Article{ zhang:11:probabilistic,
author = {Zhang, Tusheng},
title = {A probabilistic approach to {D}irichlet problems of
semilinear elliptic {PDE}s with singular coefficients},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {39},
year = {2011},
number = {4},
pages = {1502--1527},
issn = {0091-1798},
mrclass = {60H30 (31B35 35A01 35A02 35J61 60H10)},
mrnumber = {2857248},
mrreviewer = {Zhongmin Qian},
doi = {10.1214/10-AOP591},
url = {https://doi.org/10.1214/10-AOP591}
}
@Article{ zhang:11:systems,
author = {Zhang, Tusheng},
title = {Systems of stochastic partial differential equations with
reflection: existence and uniqueness},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {121},
year = {2011},
number = {6},
pages = {1356--1372},
issn = {0304-4149},
mrclass = {60H15 (35R60)},
mrnumber = {2794980},
mrreviewer = {Jan I. Seidler},
doi = {10.1016/j.spa.2011.02.003},
url = {https://doi.org/10.1016/j.spa.2011.02.003}
}
@Article{ zhang:12:large,
author = {Zhang, Tusheng},
title = {Large deviations for invariant measures of {SPDE}s with
two reflecting walls},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {122},
year = {2012},
number = {10},
pages = {3425--3444},
issn = {0304-4149},
mrclass = {60H15 (60F10)},
mrnumber = {2956111},
mrreviewer = {Hendrik Weber},
doi = {10.1016/j.spa.2012.06.003},
url = {https://doi.org/10.1016/j.spa.2012.06.003}
}
@Article{ zhang:14:strong,
author = {Zhang, Tusheng},
title = {Strong convergence of {W}ong-{Z}akai approximations of
reflected {SDE}s in a multidimensional general domain},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to
the Interactions between Potential Theory, Probability
Theory, Geometry and Functional Analysis},
volume = {41},
year = {2014},
number = {3},
pages = {783--815},
issn = {0926-2601},
mrclass = {60H10 (60F17 60J55 60J60)},
mrnumber = {3264821},
mrreviewer = {Lijun Bo},
doi = {10.1007/s11118-014-9394-9},
url = {https://doi.org/10.1007/s11118-014-9394-9}
}
@Article{ zhang:16:lattice,
author = {Zhang, Tusheng},
title = {Lattice approximations of reflected stochastic partial
differential equations driven by space-time white noise},
journal = {Ann. Appl. Probab.},
fjournal = {The Annals of Applied Probability},
volume = {26},
year = {2016},
number = {6},
pages = {3602--3629},
issn = {1050-5164},
mrclass = {60H15 (60F05 60H35)},
mrnumber = {3582812},
mrreviewer = {Ciprian A. Tudor},
doi = {10.1214/16-AAP1186},
url = {https://doi.org/10.1214/16-AAP1186}
}
@Article{ zhang:19:stochastic,
author = {Zhang, Tusheng},
title = {Stochastic {B}urgers type equations with reflection:
existence, uniqueness},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {267},
year = {2019},
number = {8},
pages = {4537--4571},
issn = {0022-0396},
mrclass = {60H15 (35Q53 35R60 60J60)},
mrnumber = {3983045},
doi = {10.1016/j.jde.2019.05.008},
url = {https://doi.org/10.1016/j.jde.2019.05.008}
}
@Article{ zhang:90:replica,
title = {Replica scaling analysis of interfaces in random media},
author = {Zhang, Yi-Cheng},
journal = {Phys. Rev. B},
volume = {42},
issue = {7},
pages = {4897--4900},
numpages = {0},
year = {1990},
month = {Sep},
publisher = {American Physical Society},
doi = {10.1103/PhysRevB.42.4897},
url = {https://link.aps.org/doi/10.1103/PhysRevB.42.4897}
}
@Article{ zhao.xiao:24:global,
author = {Zhao, Xiangdong and Xiao, Luhan},
title = {Global boundedness in a parabolic-elliptic chemotaxis
system with singular sensitivity and sublinear production},
journal = {J. Evol. Equ.},
fjournal = {Journal of Evolution Equations},
volume = {24},
year = {2024},
number = {4},
pages = {Paper No. 89, 17},
issn = {1424-3199},
mrclass = {92C17 (35K55 35M33 35Q92)},
mrnumber = {4808944},
mrreviewer = {Zhan Jiao},
doi = {10.1007/s00028-024-01017-x},
url = {https://doi.org/10.1007/s00028-024-01017-x}
}
@Article{ zhao.zheng:18:global,
author = {Zhao, Xiangdong and Zheng, Sining},
title = {Global existence and asymptotic behavior to a
chemotaxis-consumption system with singular sensitivity and
logistic source},
journal = {Nonlinear Anal. Real World Appl.},
fjournal = {Nonlinear Analysis. Real World Applications. An
International Multidisciplinary Journal},
volume = {42},
year = {2018},
pages = {120--139},
issn = {1468-1218},
mrclass = {35K51 (35B40 35K59 35Q92)},
mrnumber = {3773354},
doi = {10.1016/j.nonrwa.2017.12.007},
url = {https://doi.org/10.1016/j.nonrwa.2017.12.007}
}
@Article{ zhao.zheng:19:global,
author = {Zhao, Xiangdong and Zheng, Sining},
title = {Global existence and boundedness of solutions to a
chemotaxis system with singular sensitivity and
logistic-type source},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {267},
year = {2019},
number = {2},
pages = {826--865},
issn = {0022-0396},
mrclass = {92C17 (35B40 35B45 35K51 35K55)},
mrnumber = {3957973},
doi = {10.1016/j.jde.2019.01.026},
url = {https://doi.org/10.1016/j.jde.2019.01.026}
}
@Article{ zhao:18:well-posedness,
author = {Zhao, Jihong},
title = {Well-posedness and {G}evrey analyticity of the generalized
{K}eller-{S}egel system in critical {B}esov spaces},
journal = {Ann. Mat. Pura Appl. (4)},
fjournal = {Annali di Matematica Pura ed Applicata. Series IV},
volume = {197},
year = {2018},
number = {2},
pages = {521--548},
issn = {0373-3114},
mrclass = {35M31 (35B65 35R11 92C17)},
mrnumber = {3772916},
doi = {10.1007/s10231-017-0691-y},
url = {https://doi.org/10.1007/s10231-017-0691-y}
}
@Article{ zhao:23:boundedness,
author = {Zhao, Xiangdong},
title = {Boundedness in a logistic chemotaxis system with weakly
singular sensitivity in dimension two},
journal = {Nonlinearity},
fjournal = {Nonlinearity},
volume = {36},
year = {2023},
number = {7},
pages = {3909--3938},
issn = {0951-7715},
mrclass = {92C17 (35B45 35Q92)},
mrnumber = {4601307},
mrreviewer = {Feng Dai},
doi = {10.1088/1361-6544/acdb3b},
url = {https://doi.org/10.1088/1361-6544/acdb3b}
}
@Article{ zhao:24:global,
author = {Zhao, Xiangdong},
title = {Global solvability in the parabolic-elliptic chemotaxis
system with singular sensitivity and logistic source},
journal = {Czechoslovak Math. J.},
fjournal = {Czechoslovak Mathematical Journal},
volume = {74(149)},
year = {2024},
number = {1},
pages = {127--151},
issn = {0011-4642},
mrclass = {92C17 (35B45 35K51 35M33)},
mrnumber = {4717826},
doi = {10.21136/CMJ.2023.0544-22},
url = {https://doi.org/10.21136/CMJ.2023.0544-22}
}
@Article{ zheng.mu.ea:15:boundedness,
author = {Zheng, Pan and Mu, Chunlai and Hu, Xuegang and Tian, Ya},
title = {Boundedness of solutions in a chemotaxis system with
nonlinear sensitivity and logistic source},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {424},
year = {2015},
number = {1},
pages = {509--522},
issn = {0022-247X},
mrclass = {35M32 (35B45 35K59 92C17)},
mrnumber = {3286576},
doi = {10.1016/j.jmaa.2014.11.031},
url = {https://doi.org/10.1016/j.jmaa.2014.11.031}
}
@Article{ zheng.zhai.ea:18:moderate,
author = {Zheng, Wuting and Zhai, Jianliang and Zhang, Tusheng},
title = {Moderate deviations for stochastic models of
two-dimensional second-grade fluids driven by {L}\'{e}vy
noise},
journal = {Commun. Math. Stat.},
fjournal = {Communications in Mathematics and Statistics},
volume = {6},
year = {2018},
number = {4},
pages = {583--612},
issn = {2194-6701},
mrclass = {60H15 (35B25 35Q35 35R60 37L55 60F99)},
mrnumber = {3877718},
doi = {10.1007/s40304-018-0165-6},
url = {https://doi.org/10.1007/s40304-018-0165-6}
}
@Article{ zheng:15:boundedness,
author = {Zheng, Jiashan},
title = {Boundedness of solutions to a quasilinear
parabolic-elliptic {K}eller-{S}egel system with logistic
source},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {259},
year = {2015},
number = {1},
pages = {120--140},
issn = {0022-0396},
mrclass = {35M33 (35B45 35K59 92C17)},
mrnumber = {3335922},
mrreviewer = {Jingyu Li},
doi = {10.1016/j.jde.2015.02.003},
url = {https://doi.org/10.1016/j.jde.2015.02.003}
}
@Article{ zheng:24:on,
author = {Zheng, Pan},
title = {On a parabolic-elliptic {K}eller-{S}egel system with
nonlinear signal production and nonlocal growth term},
journal = {Dyn. Partial Differ. Equ.},
fjournal = {Dynamics of Partial Differential Equations},
volume = {21},
year = {2024},
number = {1},
pages = {61--76},
issn = {1548-159X},
mrclass = {35M32 (35K15 35K55 92C17)},
mrnumber = {4672992},
doi = {10.4310/dpde.2024.v21.n1.a3},
url = {https://doi.org/10.4310/dpde.2024.v21.n1.a3}
}
@Article{ zhong.jiang:07:globally,
author = {Zhong, Xinhua and Jiang, Song},
title = {Globally bounded in-time solutions to a parabolic-elliptic
system modelling chemotaxis},
journal = {Acta Math. Sci. Ser. B (Engl. Ed.)},
fjournal = {Acta Mathematica Scientia. Series B. English Edition},
volume = {27},
year = {2007},
number = {2},
pages = {421--429},
issn = {0252-9602},
mrclass = {35K50 (35B25 35B40 35B45 35K55)},
mrnumber = {2313241},
doi = {10.1016/S0252-9602(07)60042-3},
url = {https://doi.org/10.1016/S0252-9602(07)60042-3}
}
@Article{ zhong.xiao:95:local,
author = {Zhong, Yu Quan and Xiao, Yi Min},
title = {Local times and multiple points of stable sheet
intersections},
journal = {Acta Math. Sci. (Chinese)},
fjournal = {Acta Mathematica Scientia. Series A. Shuxue Wuli Xuebao.
Chinese Edition},
volume = {15},
year = {1995},
number = {2},
pages = {141--152},
issn = {1003-3998},
mrclass = {60J30 (60J55)},
mrnumber = {1348444},
mrreviewer = {Tu\ Sheng\ Zhang}
}
@Article{ zhou.hu.ea:23:backward,
author = {Zhou, Hao and Hu, Yaozhong and Liu, Yanghui},
title = {Backward {E}uler method for stochastic differential
equations with non-{L}ipschitz coefficients driven by
fractional {B}rownian motion},
journal = {BIT},
fjournal = {BIT. Numerical Mathematics},
volume = {63},
year = {2023},
number = {3},
pages = {Paper No. 40, 37},
issn = {0006-3835,1572-9125},
mrclass = {65L04 (60H10 60H35)},
mrnumber = {4612747},
doi = {10.1007/s10543-023-00981-z},
url = {https://doi.org/10.1007/s10543-023-00981-z}
}
@Article{ zhou.xiao:17:tail,
author = {Zhou, Yuzhen and Xiao, Yimin},
title = {Tail asymptotics for the extremes of bivariate {G}aussian
random fields},
journal = {Bernoulli},
fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
Mathematical Statistics and Probability},
volume = {23},
year = {2017},
number = {3},
pages = {1566--1598},
issn = {1350-7265,1573-9759},
mrclass = {60G15 (60F99 60G60 60G70)},
mrnumber = {3624871},
mrreviewer = {Ou\ Zhao},
doi = {10.3150/15-BEJ788},
url = {https://doi.org/10.3150/15-BEJ788}
}
@Article{ zhou.xiao:18:joint,
author = {Zhou, Yuzhen and Xiao, Yimin},
title = {Joint asymptotics for estimating the fractal indices of
bivariate {G}aussian processes},
journal = {J. Multivariate Anal.},
fjournal = {Journal of Multivariate Analysis},
volume = {165},
year = {2018},
pages = {56--72},
issn = {0047-259X,1095-7243},
mrclass = {62H12 (60G15 62F12)},
mrnumber = {3768752},
mrreviewer = {Viktor\ Skorniakov},
doi = {10.1016/j.jmva.2017.12.001},
url = {https://doi.org/10.1016/j.jmva.2017.12.001}
}
@Article{ zhou:97:uniqueness,
author = {Zhou, Yi},
title = {Uniqueness of weak solution of the {K}d{V} equation},
journal = {Internat. Math. Res. Notices},
fjournal = {International Mathematics Research Notices},
year = {1997},
number = {6},
pages = {271--283},
issn = {1073-7928},
mrclass = {35Q53 (35D05)},
mrnumber = {1440304},
mrreviewer = {Vladislav G. Dubrovsky},
doi = {10.1155/S1073792897000202},
url = {https://doi.org/10.1155/S1073792897000202}
}
@Article{ zhu.harris:14:modeling,
author = {Tieyuan Zhu and Jerry M. Harris},
title = {Modeling acoustic wave propagation in heterogeneous
attenuating media using decoupled fractional {L}aplacians},
fjournal = {GEOPHYSICS},
journal = {GEOPHYSICS},
volume = {79},
number = {3},
pages = {T105--T116},
year = {2014},
doi = {10.1190/geo2013-0245.1},
url = {https://doi.org/10.1190/geo2013-0245.1},
eprint = {https://doi.org/10.1190/geo2013-0245.1}
}
@Article{ zili.zougar:19:exact,
author = {Zili, M. and Zougar, E.},
title = {Exact variations for stochastic heat equations with
piecewise constant coefficients and application to
parameter estimation},
journal = {Teor. \u Imov\=\i r. Mat. Stat.},
fjournal = {Teor\=\i ya \u Imov\=\i rnoste\u i\ ta Matematichna
Statistika. Ki\"ivs{\cprime}ki\u i\ Un\=\i versitet \=\i
meni Tarasa Shevchenka},
year = {2019},
number = {100},
pages = {75--101},
issn = {0868-6904},
mrclass = {60H15 (35K15 35R60 60G15 60G17 60G60 62F10)},
mrnumber = {3992994},
doi = {10.1090/tpms/1099},
url = {https://doi.org/10.1090/tpms/1099}
}
@Article{ zili.zougar:19:one-dimensional,
author = {Zili, Mounir and Zougar, Eya},
title = {One-dimensional stochastic heat equation with
discontinuous conductance},
journal = {Appl. Anal.},
fjournal = {Applicable Analysis. An International Journal},
volume = {98},
year = {2019},
number = {12},
pages = {2178--2191},
issn = {0003-6811,1563-504X},
mrclass = {60H15 (33B20 35K10 35R60 60G15 60G17 60G60)},
mrnumber = {3988829},
doi = {10.1080/00036811.2018.1451642},
url = {https://doi.org/10.1080/00036811.2018.1451642}
}
@Article{ zili.zougar:19:spatial,
author = {Zili, Mounir and Zougar, Eya},
title = {Spatial quadratic variations for the solution to a
stochastic partial differential equation with elliptic
divergence form operator},
journal = {Mod. Stoch. Theory Appl.},
fjournal = {Modern Stochastics. Theory and Applications},
volume = {6},
year = {2019},
number = {3},
pages = {345--375},
issn = {2351-6046,2351-6054},
mrclass = {60H15 (35K15 35R60 60H07)},
mrnumber = {4028081},
mrreviewer = {Jan\ I.\ Seidler},
doi = {10.15559/19-vmsta139},
url = {https://doi.org/10.15559/19-vmsta139}
}
@Article{ zili.zougar:22:mixed,
author = {Zili, Mounir and Zougar, Eya},
title = {Mixed stochastic heat equation with fractional {L}aplacian
and gradient perturbation},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis. An International
Journal for Theory and Applications},
volume = {25},
year = {2022},
number = {2},
pages = {783--802},
issn = {1311-0454,1314-2224},
mrclass = {60H15 (26A33 28A78 35R11)},
mrnumber = {4437302},
doi = {10.1007/s13540-022-00037-z},
url = {https://doi.org/10.1007/s13540-022-00037-z}
}
@Article{ zili:06:on,
author = {Zili, Mounir},
title = {On the mixed fractional {B}rownian motion},
journal = {J. Appl. Math. Stoch. Anal.},
fjournal = {Journal of Applied Mathematics and Stochastic Analysis.
JAMSA},
year = {2006},
pages = {Art. ID 32435, 9},
issn = {1048-9533,1687-2177},
mrclass = {60G15 (60G17)},
mrnumber = {2253522},
mrreviewer = {Anne\ Estrade},
doi = {10.1155/JAMSA/2006/32435},
url = {https://doi.org/10.1155/JAMSA/2006/32435}
}
@Book{ zimmer:84:ergodic,
author = {Zimmer, Robert J.},
title = {Ergodic theory and semisimple groups},
series = {Monographs in Mathematics},
volume = {81},
publisher = {Birkh\"{a}user Verlag, Basel},
year = {1984},
pages = {x+209},
isbn = {3-7643-3184-4},
mrclass = {22E40 (22D40 28D15)},
mrnumber = {776417},
mrreviewer = {S. G. Dani},
doi = {10.1007/978-1-4684-9488-4},
url = {https://doi.org/10.1007/978-1-4684-9488-4}
}
@InCollection{ zinn-justin.zuber:11:knot,
author = {Zinn-Justin, Paul and Zuber, Jean-Bernard},
title = {Knot theory and matrix integrals},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {557--577},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {57M25 (15A99)},
mrnumber = {2932647},
mrreviewer = {Richard Stong}
}
@InCollection{ zirnbauer:11:symmetry,
author = {Zirnbauer, Martin R.},
title = {Symmetry classes},
booktitle = {The {O}xford handbook of random matrix theory},
pages = {43--65},
publisher = {Oxford Univ. Press, Oxford},
year = {2011},
mrclass = {82B44 (60B20 82D55)},
mrnumber = {2932623},
mrreviewer = {Florent Benaych-Georges}
}
@Article{ zlatos:12:transition,
author = {Zlato\v{s}, Andrej},
title = {Transition fronts in inhomogeneous {F}isher-{KPP}
reaction-diffusion equations},
journal = {J. Math. Pures Appl. (9)},
fjournal = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es.
Neuvi\`eme S\'{e}rie},
volume = {98},
year = {2012},
number = {1},
pages = {89--102},
issn = {0021-7824},
mrclass = {35K57 (35A18 35B08 35B45)},
mrnumber = {2935371},
mrreviewer = {Rodica Luca},
doi = {10.1016/j.matpur.2011.11.007},
url = {https://doi.org/10.1016/j.matpur.2011.11.007}
}
@Book{ zolotarev:86:one-dimensional,
author = {Zolotarev, V. M.},
title = {One-dimensional stable distributions},
series = {Translations of Mathematical Monographs},
volume = {65},
note = {Translated from the Russian by H. H. McFaden, Translation
edited by Ben Silver},
publisher = {American Mathematical Society, Providence, RI},
year = {1986},
pages = {x+284},
isbn = {0-8218-4519-5},
mrclass = {60-01 (60E07 60F05)},
mrnumber = {854867},
doi = {10.1090/mmono/065},
url = {https://doi.org/10.1090/mmono/065}
}
@Article{ zou.ash.ea:18:empirical,
author = {Zou, Yajie and Ash, John E. and Park, Byung-Jung and Lord,
Dominique and Wu, Lingtao},
title = {Empirical {B}ayes estimates of finite mixture of negative
binomial regression models and its application to highway
safety},
journal = {J. Appl. Stat.},
fjournal = {Journal of Applied Statistics},
volume = {45},
year = {2018},
number = {9},
pages = {1652--1669},
issn = {0266-4763},
mrclass = {Expansion},
mrnumber = {3800338},
doi = {10.1080/02664763.2017.1389863},
url = {https://doi.org/10.1080/02664763.2017.1389863}
}
@Article{ zuev.sidorenko:85:continuous,
author = {Zuev, S. A. and Sidorenko, A. F.},
title = {Continuous models of percolation theory. {I}},
journal = {Teoret. Mat. Fiz.},
fjournal = {Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya
Fizika},
volume = {62},
year = {1985},
number = {1},
pages = {76--86},
issn = {0564-6162},
mrclass = {82A43 (82A25)},
mrnumber = {782099}
}
@Article{ zuev.sidorenko:85:continuous*1,
author = {Zuev, S. A. and Sidorenko, A. F.},
title = {Continuous models of percolation theory. {II}},
journal = {Teoret. Mat. Fiz.},
fjournal = {Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya
Fizika},
volume = {62},
year = {1985},
number = {2},
pages = {253--262},
issn = {0564-6162},
mrclass = {82A43 (82A25)},
mrnumber = {783056}
}
@Article{ zvonkin:74:transformation,
author = {Zvonkin, A. K.},
title = {A transformation of the phase space of a diffusion process
that will remove the drift},
journal = {Mat. Sb. (N.S.)},
fjournal = {Matematicheskiu{i} Sbornik. Novaya Seriya},
volume = {93(135)},
year = {1974},
pages = {129--149, 152},
issn = {0368-8666},
mrclass = {60H15},
mrnumber = {336813},
mrreviewer = {A. Friedman}
}
@Book{ zygmund:59:trigonometric,
author = {Zygmund, A.},
title = {Trigonometric series. 2nd ed. {V}ols. {I}, {II}},
publisher = {Cambridge University Press, New York},
year = {1959},
pages = {Vol. I. xii+383 pp.; Vol. II. vii+354},
mrclass = {42.00},
mrnumber = {0107776},
mrreviewer = {E. Hewitt}
}
@Book{ zygmund:68:trigonometric,
author = {Zygmund, A.},
title = {Trigonometric series: {V}ols. {I}, {II}},
note = {Second edition, reprinted with corrections and some
additions},
publisher = {Cambridge University Press, London-New York},
year = {1968},
pages = {Vol. I. xiv+383 pp.; Vol. II: vii+364 pp. (two volumes
bound as one)},
mrclass = {42.00},
mrnumber = {0236587},
mrreviewer = {Edwin Hewitt}
}