% --------------------------- % Bibliography Reference Bank % --- SPDEs-Bib % --------------------------- % Author: Le Chen (Le Chen) % Emails: 62814508+chenle02 AT users.noreply.github.com % le.chen AT auburn.edu % Github: git AT github.com:chenle02/SPDEs-Bib.git % Commit: 30ab629064acfe6adc0b99235a36a9aec857f85c % Zenodo: https://zenodo.org/records/10143431 % DOI: 10.5281/zenodo.10143431 % Date: 2024-04-05 % --------------------------- % --------------------------- % % 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} } @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: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} } @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} } @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{aggarwal.corwin.ea:23:asep, author = {Aggarwal, Amol and Corwin, Ivan and Ghosal, Promit}, title = {The {ASEP} speed process}, journal = {Adv. 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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{aguirre.escobedo:86:cauchy, author = {Aguirre, J. and Escobedo, M.}, title = {A {C}auchy problem for {$u_t-\Delta u=u^p$} with {$02.0.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. 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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{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. 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Appl.}, fjournal = {Stochastic Processes and their Applications}, volume = {47}, year = {1993}, number = {2}, pages = {197--213}, issn = {0304-4149}, mrclass = {60F17 (60G50 60J55)}, mrnumber = {1239837}, mrreviewer = {Endre Cs\'{a}ki}, doi = {10.1016/0304-4149(93)90014-U}, url = {https://doi.org/10.1016/0304-4149(93)90014-U} } @incollection{bass.khoshnevisan:93:strong, author = {Bass, Richard F. and Khoshnevisan, Davar}, title = {Strong approximations to {B}rownian local time}, booktitle = {Seminar on {S}tochastic {P}rocesses, 1992 ({S}eattle, {WA}, 1992)}, series = {Progr. Probab.}, volume = {33}, pages = {43--65}, publisher = {Birkh\"{a}user Boston, Boston, MA}, year = {1993}, mrclass = {60F17 (60F15 60J15 60J75)}, mrnumber = {1278076}, mrreviewer = {M. Cs\"{o}rg\H{o}} } @article{bass.khoshnevisan:95:laws, author = {Bass, Richard F. and Khoshnevisan, Davar}, title = {Laws of the iterated logarithm for local times of the empirical process}, journal = {Ann. 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Series S}, volume = {16}, year = {2023}, number = {3-4}, pages = {i--ii}, issn = {1937-1632,1937-1179}, mrclass = {35-03 (01A70)}, mrnumber = {4567431}, doi = {10.3934/dcdss.2023060}, url = {https://doi.org/10.3934/dcdss.2023060} } @article{baudoin.chen:22:dirichlet, title = {Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations}, author = {Fabrice Baudoin and Li Chen}, year = {2022}, month = {January}, journal = {preprint arXiv:2201.03970}, url = {https://www.arxiv.org/abs/2201.03970} } @article{baudoin.feng.ea:20:density, author = {Baudoin, Fabrice and Feng, Qi and Ouyang, Cheng}, title = {Density of the signature process of {FBM}}, journal = {Trans. Amer. Math. Soc.}, fjournal = {Transactions of the American Mathematical Society}, volume = {373}, year = {2020}, number = {12}, pages = {8583--8610}, issn = {0002-9947}, mrclass = {60H10 (58J65 60D05 60H07 60L10)}, mrnumber = {4177269}, mrreviewer = {Evelina Shamarova}, doi = {10.1090/tran/8165}, url = {https://doi.org/10.1090/tran/8165} } @article{baudoin.hairer.ea:08:ornstein-uhlenbeck, author = {Baudoin, Fabrice and Hairer, Martin and Teichmann, Josef}, title = {Ornstein-{U}hlenbeck processes on {L}ie groups}, journal = {J. Funct. Anal.}, fjournal = {Journal of Functional Analysis}, volume = {255}, year = {2008}, number = {4}, pages = {877--890}, issn = {0022-1236}, mrclass = {58J65 (35A30 35H10 43A85 60B15 60H15)}, mrnumber = {2433956}, mrreviewer = {Feng-Yu Wang}, doi = {10.1016/j.jfa.2008.05.004}, url = {https://doi.org/10.1016/j.jfa.2008.05.004} } @article{baudoin.hairer:07:version, author = {Baudoin, Fabrice and Hairer, Martin}, title = {A version of {H}\"{o}rmander's theorem for the fractional {B}rownian motion}, journal = {Probab. 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Appl.}, fjournal = {Stochastic Processes and their Applications}, volume = {107}, year = {2003}, number = {2}, pages = {327--350}, issn = {0304-4149}, mrclass = {60G15 (47B34 47N30 60H05)}, mrnumber = {1999794}, mrreviewer = {Ireneusz Szyszkowski}, doi = {10.1016/S0304-4149(03)00088-7}, url = {https://doi.org/10.1016/S0304-4149(03)00088-7} } @article{baudoin.nualart:05:corrigendum, author = {Baudoin, Fabrice and Nualart, David}, title = {Corrigendum to: ``{E}quivalence of {V}olterra processes'' [{S}tochastic {P}rocess. {A}ppl. {\bf 107} (2003), no. 2, 327--350; MR1999794]}, journal = {Stochastic Process. 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(JEMS)}, fjournal = {Journal of the European Mathematical Society (JEMS)}, volume = {16}, year = {2014}, number = {6}, pages = {1289--1325}, issn = {1435-9855,1435-9863}, mrclass = {35Q55 (35B30 37K05 37L50 82B10)}, mrnumber = {3226743}, mrreviewer = {Thierry\ Cazenave}, doi = {10.4171/JEMS/461}, url = {https://doi.org/10.4171/JEMS/461} } @article{bourgain.bulut:14:almost*1, author = {Bourgain, Jean and Bulut, Aynur}, title = {Almost sure global well posedness for the radial nonlinear {S}chr\"{o}dinger equation on the unit ball {I}: the 2{D} case}, 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 = {6}, pages = {1267--1288}, issn = {0294-1449,1873-1430}, mrclass = {35Q55 (35B30 37K05 37L50 60G15 82B10)}, mrnumber = {3280067}, mrreviewer = {Thierry\ Cazenave}, doi = {10.1016/j.anihpc.2013.09.002}, url = {https://doi.org/10.1016/j.anihpc.2013.09.002} } @article{bourgain.bulut:14:invariant, author = {Bourgain, Jean and Bulut, Aynur}, title = {Invariant {G}ibbs measure evolution for the radial nonlinear wave equation on the 3d ball}, journal = {J. Funct. Anal.}, fjournal = {Journal of Functional Analysis}, volume = {266}, year = {2014}, number = {4}, pages = {2319--2340}, issn = {0022-1236,1096-0783}, mrclass = {35L71 (35B30 35L20 35R11 35S05 37L05 74G10)}, mrnumber = {3150162}, mrreviewer = {Flank\ D. M. Bezerra}, doi = {10.1016/j.jfa.2013.06.002}, url = {https://doi.org/10.1016/j.jfa.2013.06.002} } @article{bourgain.burq.ea:13:control, author = {Bourgain, Jean and Burq, Nicolas and Zworski, Maciej}, title = {Control for {S}chr\"{o}dinger operators on 2-tori: rough potentials}, journal = {J. Eur. Math. Soc. (JEMS)}, fjournal = {Journal of the European Mathematical Society (JEMS)}, volume = {15}, year = {2013}, number = {5}, pages = {1597--1628}, issn = {1435-9855,1435-9863}, mrclass = {35Q41 (35B45 35J15 42B37 58J05 93B07)}, mrnumber = {3082239}, mrreviewer = {Alberto\ Enciso}, doi = {10.4171/JEMS/399}, url = {https://doi.org/10.4171/JEMS/399} } @article{bourgain.casazza.ea:85:banach, author = {Bourgain, J. and Casazza, P. G. and Lindenstrauss, J. and Tzafriri, L.}, title = {Banach spaces with a unique unconditional basis, up to permutation}, journal = {Mem. Amer. Math. Soc.}, fjournal = {Memoirs of the American Mathematical Society}, volume = {54}, year = {1985}, number = {322}, pages = {iv+111}, issn = {0065-9266,1947-6221}, mrclass = {46B15}, mrnumber = {782647}, mrreviewer = {M.\ I.\ Kadets}, doi = {10.1090/memo/0322}, url = {https://doi.org/10.1090/memo/0322} } @article{bourgain.chang:03:on, author = {Bourgain, Jean and Chang, Mei-Chu}, title = {On multiple sum and product sets of finite sets of integers}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {337}, year = {2003}, number = {8}, pages = {499--503}, issn = {1631-073X,1778-3569}, mrclass = {11B75}, mrnumber = {2017126}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1016/j.crma.2003.08.010}, url = {https://doi.org/10.1016/j.crma.2003.08.010} } @article{bourgain.chang:04:on, author = {Bourgain, Jean and Chang, Mei-Chu}, title = {On the size of {$k$}-fold sum and product sets of integers}, journal = {J. Amer. Math. Soc.}, fjournal = {Journal of the American Mathematical Society}, volume = {17}, year = {2004}, number = {2}, pages = {473--497}, issn = {0894-0347,1088-6834}, mrclass = {11B75}, mrnumber = {2051619}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1090/S0894-0347-03-00446-6}, url = {https://doi.org/10.1090/S0894-0347-03-00446-6} } @article{bourgain.chang:04:sum-product, author = {Bourgain, Jean and Chang, Mei-Chu}, title = {Sum-product theorem and exponential sum estimates in residue classes with modulus involving few prime factors}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {339}, year = {2004}, number = {7}, pages = {463--466}, issn = {1631-073X,1778-3569}, mrclass = {11L07 (11B75)}, mrnumber = {2099542}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1016/j.crma.2004.08.007}, url = {https://doi.org/10.1016/j.crma.2004.08.007} } @article{bourgain.chang:06:exponential, author = {Bourgain, J. and Chang, M.-C.}, title = {Exponential sum estimates over subgroups and almost subgroups of {$\Bbb Z_Q^*$}, where {$Q$} is composite with few prime factors}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {16}, year = {2006}, number = {2}, pages = {327--366}, issn = {1016-443X,1420-8970}, mrclass = {11L07 (11L05)}, mrnumber = {2231466}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1007/s00039-006-0558-7}, url = {https://doi.org/10.1007/s00039-006-0558-7} } @article{bourgain.chang:06:gauss, author = {Bourgain, Jean and Chang, Mei-Chu}, title = {A {G}auss sum estimate in arbitrary finite fields}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {342}, year = {2006}, number = {9}, pages = {643--646}, issn = {1631-073X,1778-3569}, mrclass = {11T24}, mrnumber = {2225868}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1016/j.crma.2006.01.022}, url = {https://doi.org/10.1016/j.crma.2006.01.022} } @article{bourgain.chang:07:on, author = {Bourgain, Jean and Chang, Mei-Chu}, title = {On the minimum norm of representatives of residue classes in number fields}, journal = {Duke Math. J.}, fjournal = {Duke Mathematical Journal}, volume = {138}, year = {2007}, number = {2}, pages = {263--280}, issn = {0012-7094,1547-7398}, mrclass = {11L07 (11L40 11R04 11R27)}, mrnumber = {2318285}, mrreviewer = {Jerzy\ Kaczorowski}, doi = {10.1215/S0012-7094-07-13824-9}, url = {https://doi.org/10.1215/S0012-7094-07-13824-9} } @article{bourgain.chang:09:sum-product, author = {Bourgain, Jean and Chang, Mei-Chu}, title = {Sum-product theorems in algebraic number fields}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {109}, year = {2009}, pages = {253--277}, issn = {0021-7670,1565-8538}, mrclass = {11B30 (11B13)}, mrnumber = {2585396}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1007/s11854-009-0033-0}, url = {https://doi.org/10.1007/s11854-009-0033-0} } @article{bourgain.chang:10:on, author = {Bourgain, Jean and Chang, Mei-Chu}, title = {On a multilinear character sum of {B}urgess}, 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 = {115--120}, issn = {1631-073X,1778-3569}, mrclass = {11L40}, mrnumber = {2600059}, doi = {10.1016/j.crma.2009.12.013}, url = {https://doi.org/10.1016/j.crma.2009.12.013} } @article{bourgain.chang:17:nonlinear, author = {Bourgain, J. and Chang, M.-C.}, title = {Nonlinear {R}oth type theorems in finite fields}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {221}, year = {2017}, number = {2}, pages = {853--867}, issn = {0021-2172,1565-8511}, mrclass = {11B30 (37A45)}, mrnumber = {3704938}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s11856-017-1577-9}, url = {https://doi.org/10.1007/s11856-017-1577-9} } @article{bourgain.chang:18:on, author = {Bourgain, J. and Chang, Mei-Chu}, title = {On a paper of {E}rd\"{o}s and {S}zekeres}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {136}, year = {2018}, number = {1}, pages = {253--271}, issn = {0021-7670,1565-8538}, mrclass = {11B75}, mrnumber = {3892474}, mrreviewer = {Art\={u}ras\ Dubickas}, doi = {10.1007/s11854-018-0060-9}, url = {https://doi.org/10.1007/s11854-018-0060-9} } @article{bourgain.clozel.ea:10:principe, author = {Bourgain, Jean and Clozel, Laurent and Kahane, Jean-Pierre}, title = {Principe d'{H}eisenberg et fonctions positives}, journal = {Ann. Inst. Fourier (Grenoble)}, fjournal = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier}, volume = {60}, year = {2010}, number = {4}, pages = {1215--1232}, issn = {0373-0956,1777-5310}, mrclass = {42A38 (11R42 42B10)}, mrnumber = {2722239}, mrreviewer = {Juan\ Luis\ Varona}, url = {http://aif.cedram.org/item?id=AIF_2010__60_4_1215_0} } @article{bourgain.cochrane.ea:09:decimations, author = {Bourgain, Jean and Cochrane, Todd and Paulhus, Jennifer and Pinner, Christopher}, title = {Decimations of {$l$}-sequences and permutations of even residues mod {$p$}}, journal = {SIAM J. Discrete Math.}, fjournal = {SIAM Journal on Discrete Mathematics}, volume = {23}, year = {2009}, number = {2}, pages = {842--857}, issn = {0895-4801,1095-7146}, mrclass = {11A07 (11A15 11B50 11L07 94A55)}, mrnumber = {2496921}, mrreviewer = {Igor\ E.\ Shparlinski}, doi = {10.1137/080737678}, url = {https://doi.org/10.1137/080737678} } @article{bourgain.cochrane.ea:11:on, author = {Bourgain, Jean and Cochrane, Todd and Paulhus, Jennifer and Pinner, Christopher}, title = {On the parity of {$k$}-th powers modulo {$p$}. {A} generalization of a problem of {L}ehmer}, journal = {Acta Arith.}, fjournal = {Acta Arithmetica}, volume = {147}, year = {2011}, number = {2}, pages = {173--203}, issn = {0065-1036,1730-6264}, mrclass = {11N69 (11K36 11K38 11L07)}, mrnumber = {2771661}, mrreviewer = {Igor\ E.\ Shparlinski}, doi = {10.4064/aa147-2-6}, url = {https://doi.org/10.4064/aa147-2-6} } @article{bourgain.colliander:96:on, author = {Bourgain, J. and Colliander, J.}, title = {On wellposedness of the {Z}akharov system}, journal = {Internat. Math. Res. Notices}, fjournal = {International Mathematics Research Notices}, year = {1996}, number = {11}, pages = {515--546}, issn = {1073-7928,1687-0247}, mrclass = {35Q55}, mrnumber = {1405972}, mrreviewer = {Nakao\ Hayashi}, doi = {10.1155/S1073792896000359}, url = {https://doi.org/10.1155/S1073792896000359} } @article{bourgain.davis:86:martingale, author = {Bourgain, J. and Davis, W. J.}, title = {Martingale transforms and complex uniform convexity}, journal = {Trans. Amer. Math. Soc.}, fjournal = {Transactions of the American Mathematical Society}, volume = {294}, year = {1986}, number = {2}, pages = {501--515}, issn = {0002-9947,1088-6850}, mrclass = {46E40 (42B20 46B99 60G46)}, mrnumber = {825718}, mrreviewer = {Gilles\ Pisier}, doi = {10.2307/2000196}, url = {https://doi.org/10.2307/2000196} } @article{bourgain.delbaen:78:quotient, author = {Bourgain, J. and Delbaen, F.}, title = {Quotient maps onto {$c(K)$}}, journal = {Bull. Soc. Math. Belg.}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique Belgique}, volume = {30}, year = {1978}, number = {2}, pages = {111--119}, issn = {0373-2053}, mrclass = {46E15 (46B25)}, mrnumber = {582661}, mrreviewer = {K.\ Sundaresan} } @article{bourgain.delbaen:80:class, author = {Bourgain, J. and Delbaen, F.}, title = {A class of special {${\cal L}\sb{infty }$} spaces}, journal = {Acta Math.}, fjournal = {Acta Mathematica}, volume = {145}, year = {1980}, number = {3-4}, pages = {155--176}, issn = {0001-5962,1871-2509}, mrclass = {46B20}, mrnumber = {590288}, mrreviewer = {G.\ J. O. Jameson}, doi = {10.1007/BF02414188}, url = {https://doi.org/10.1007/BF02414188} } @article{bourgain.demeter.ea:16:proof, author = {Bourgain, Jean and Demeter, Ciprian and Guth, Larry}, title = {Proof of the main conjecture in {V}inogradov's mean value theorem for degrees higher than three}, journal = {Ann. of Math. (2)}, fjournal = {Annals of Mathematics. Second Series}, volume = {184}, year = {2016}, number = {2}, pages = {633--682}, issn = {0003-486X,1939-8980}, mrclass = {11P05 (11N25)}, mrnumber = {3548534}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.4007/annals.2016.184.2.7}, url = {https://doi.org/10.4007/annals.2016.184.2.7} } @article{bourgain.demeter.ea:17:sharp, author = {Bourgain, Jean and Demeter, Ciprian and Guo, Shaoming}, title = {Sharp bounds for the cubic {P}arsell-{V}inogradov system in two dimensions}, journal = {Adv. Math.}, fjournal = {Advances in Mathematics}, volume = {320}, year = {2017}, pages = {827--875}, issn = {0001-8708,1090-2082}, mrclass = {11L07 (42A45)}, mrnumber = {3709122}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1016/j.aim.2017.09.008}, url = {https://doi.org/10.1016/j.aim.2017.09.008} } @incollection{bourgain.demeter.ea:20:decouplings, author = {Bourgain, Jean and Demeter, Ciprian and Kemp, Dominique}, title = {Decouplings for real analytic surfaces of revolution}, booktitle = {Geometric aspects of functional analysis. {V}ol. {I}}, series = {Lecture Notes in Math.}, volume = {2256}, pages = {113--125}, publisher = {Springer, Cham}, year = {[2020] \copyright 2020}, isbn = {978-3-030-36020-7; 978-3-030-36019-1}, mrclass = {42B10 (53A05)}, mrnumber = {4175746}, mrreviewer = {Bochen\ Liu}, doi = {10.1007/978-3-030-36020-7\_7}, url = {https://doi.org/10.1007/978-3-030-36020-7_7} } @article{bourgain.demeter:13:improved, author = {Bourgain, Jean and Demeter, Ciprian}, title = {Improved estimates for the discrete {F}ourier restriction to the higher dimensional sphere}, journal = {Illinois J. Math.}, fjournal = {Illinois Journal of Mathematics}, volume = {57}, year = {2013}, number = {1}, pages = {213--227}, issn = {0019-2082,1945-6581}, mrclass = {11L07 (11L05 42A16)}, mrnumber = {3224568}, mrreviewer = {Matthew\ P.\ Young}, url = {http://projecteuclid.org/euclid.ijm/1403534493} } @article{bourgain.demeter:15:new, author = {Bourgain, Jean and Demeter, Ciprian}, title = {New bounds for the discrete {F}ourier restriction to the sphere in 4{D} and 5{D}}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2015}, number = {11}, pages = {3150--3184}, issn = {1073-7928,1687-0247}, mrclass = {42B10 (11E04)}, mrnumber = {3373047}, mrreviewer = {Juan\ Luis\ Varona}, doi = {10.1093/imrn/rnu036}, url = {https://doi.org/10.1093/imrn/rnu036} } @article{bourgain.demeter:15:proof, author = {Bourgain, Jean and Demeter, Ciprian}, title = {The proof of the {$l^2$} decoupling conjecture}, journal = {Ann. of Math. (2)}, fjournal = {Annals of Mathematics. Second Series}, volume = {182}, year = {2015}, number = {1}, pages = {351--389}, issn = {0003-486X,1939-8980}, mrclass = {42B37 (11E76 46E30 53C40)}, mrnumber = {3374964}, mrreviewer = {G.\ V.\ Rozenblum}, doi = {10.4007/annals.2015.182.1.9}, url = {https://doi.org/10.4007/annals.2015.182.1.9} } @article{bourgain.demeter:16:decouplings, author = {Bourgain, Jean and Demeter, Ciprian}, title = {Decouplings for surfaces in {$\Bbb{R}^4$}}, journal = {J. Funct. Anal.}, fjournal = {Journal of Functional Analysis}, volume = {270}, year = {2016}, number = {4}, pages = {1299--1318}, issn = {0022-1236,1096-0783}, mrclass = {42B37 (11L03 53A05)}, mrnumber = {3447712}, mrreviewer = {Juan\ Luis\ Varona}, doi = {10.1016/j.jfa.2015.11.008}, url = {https://doi.org/10.1016/j.jfa.2015.11.008} } @article{bourgain.demeter:16:mean, author = {Bourgain, Jean and Demeter, Ciprian}, title = {Mean value estimates for {W}eyl sums in two dimensions}, journal = {J. Lond. Math. Soc. (2)}, fjournal = {Journal of the London Mathematical Society. Second Series}, volume = {94}, year = {2016}, number = {3}, pages = {814--838}, issn = {0024-6107,1469-7750}, mrclass = {11L07 (42A45)}, mrnumber = {3614930}, mrreviewer = {Timothy\ D.\ Browning}, doi = {10.1112/jlms/jdw063}, url = {https://doi.org/10.1112/jlms/jdw063} } @article{bourgain.demeter:17:decouplings, author = {Bourgain, Jean and Demeter, Ciprian}, title = {Decouplings for curves and hypersurfaces with nonzero {G}aussian curvature}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {133}, year = {2017}, pages = {279--311}, issn = {0021-7670,1565-8538}, mrclass = {11E76}, mrnumber = {3736493}, mrreviewer = {Rainer\ Dietmann}, doi = {10.1007/s11854-017-0034-3}, url = {https://doi.org/10.1007/s11854-017-0034-3} } @article{bourgain.demeter:17:study, author = {Bourgain, Jean and Demeter, Ciprian}, title = {A study guide for the {$l^2$} decoupling theorem}, journal = {Chinese Ann. Math. Ser. B}, fjournal = {Chinese Annals of Mathematics. Series B}, volume = {38}, year = {2017}, number = {1}, pages = {173--200}, issn = {0252-9599,1860-6261}, mrclass = {42B37}, mrnumber = {3592159}, mrreviewer = {Juha\ K.\ Kinnunen}, doi = {10.1007/s11401-016-1066-1}, url = {https://doi.org/10.1007/s11401-016-1066-1} } @incollection{bourgain.demeter:20:three, author = {Bourgain, Jean and Demeter, Ciprian}, title = {Three applications of the {S}iegel mass formula}, booktitle = {Geometric aspects of functional analysis. {V}ol. {I}}, series = {Lecture Notes in Math.}, volume = {2256}, pages = {99--111}, publisher = {Springer, Cham}, year = {[2020] \copyright 2020}, isbn = {978-3-030-36020-7; 978-3-030-36019-1}, mrclass = {11E45 (11L07)}, mrnumber = {4175745}, mrreviewer = {Anton\ Deitmar}, doi = {10.1007/978-3-030-36020-7\_6}, url = {https://doi.org/10.1007/978-3-030-36020-7_6} } @article{bourgain.diestel:84:limited, author = {Bourgain, Jean and Diestel, Joe}, title = {Limited operators and strict cosingularity}, journal = {Math. Nachr.}, fjournal = {Mathematische Nachrichten}, volume = {119}, year = {1984}, pages = {55--58}, issn = {0025-584X,1522-2616}, mrclass = {47B05 (46B05 47A99 47D30)}, mrnumber = {774176}, mrreviewer = {R.\ W.\ Cross}, doi = {10.1002/mana.19841190105}, url = {https://doi.org/10.1002/mana.19841190105} } @inproceedings{bourgain.dilworth.ea:11:breaking, author = {Bourgain, Jean and Dilworth, S. J. and Ford, Kevin and Konyagin, Sergei V. and Kutzarova, Denka}, title = {Breaking the {$k^2$} barrier for explicit {RIP} matrices [extended abstract]}, booktitle = {S{TOC}'11---{P}roceedings of the 43rd {ACM} {S}ymposium on {T}heory of {C}omputing}, pages = {637--644}, publisher = {ACM, New York}, year = {2011}, isbn = {978-1-4503-0691-1}, mrclass = {94A20}, mrnumber = {2932014}, doi = {10.1145/1993636.1993721}, url = {https://doi.org/10.1145/1993636.1993721} } @article{bourgain.dilworth.ea:11:explicit, author = {Bourgain, Jean and Dilworth, Stephen and Ford, Kevin and Konyagin, Sergei and Kutzarova, Denka}, title = {Explicit constructions of {RIP} matrices and related problems}, journal = {Duke Math. J.}, fjournal = {Duke Mathematical Journal}, volume = {159}, year = {2011}, number = {1}, pages = {145--185}, issn = {0012-7094,1547-7398}, mrclass = {11B30 (11B13 11T23 41A46 94A12)}, mrnumber = {2817651}, mrreviewer = {Moubariz\ Z.\ Garaev}, doi = {10.1215/00127094-1384809}, url = {https://doi.org/10.1215/00127094-1384809} } @inproceedings{bourgain.dirksen.ea:15:toward, author = {Bourgain, Jean and Dirksen, Sjoerd and Nelson, Jelani}, title = {Toward a unified theory of sparse dimensionality reduction in {E}uclidean space}, booktitle = {S{TOC}'15---{P}roceedings of the 2015 {ACM} {S}ymposium on {T}heory of {C}omputing}, pages = {499--508}, publisher = {ACM, New York}, year = {2015}, isbn = {978-1-4503-3536-2}, mrclass = {62H30 (47B49 60E15 60F05 94A12)}, mrnumber = {3388229}, mrreviewer = {Santiago\ Velilla} } @article{bourgain.dirksen.ea:15:toward*1, author = {Bourgain, Jean and Dirksen, Sjoerd and Nelson, Jelani}, title = {Toward a unified theory of sparse dimensionality reduction in {E}uclidean space}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {25}, year = {2015}, number = {4}, pages = {1009--1088}, issn = {1016-443X,1420-8970}, mrclass = {62H30 (60E15 62J07 65J05 94A12)}, mrnumber = {3385629}, mrreviewer = {Santiago\ Velilla}, doi = {10.1007/s00039-015-0332-9}, url = {https://doi.org/10.1007/s00039-015-0332-9} } @article{bourgain.dvir.ea:16:affine, author = {Bourgain, Jean and Dvir, Zeev and Leeman, Ethan}, title = {Affine extractors over large fields with exponential error}, journal = {Comput. Complexity}, fjournal = {Computational Complexity}, volume = {25}, year = {2016}, number = {4}, pages = {921--931}, issn = {1016-3328,1420-8954}, mrclass = {68W20 (68W30)}, mrnumber = {3566209}, mrreviewer = {Colton\ Magnant}, doi = {10.1007/s00037-015-0108-5}, url = {https://doi.org/10.1007/s00037-015-0108-5} } @article{bourgain.dyatlov:17:fourier, author = {Bourgain, Jean and Dyatlov, Semyon}, title = {Fourier dimension and spectral gaps for hyperbolic surfaces}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {27}, year = {2017}, number = {4}, pages = {744--771}, issn = {1016-443X,1420-8970}, mrclass = {37C30 (11B30 37F30)}, mrnumber = {3678500}, mrreviewer = {Shu\ Shen}, doi = {10.1007/s00039-017-0412-0}, url = {https://doi.org/10.1007/s00039-017-0412-0} } @article{bourgain.dyatlov:18:spectral, author = {Bourgain, Jean and Dyatlov, Semyon}, title = {Spectral gaps without the pressure condition}, journal = {Ann. of Math. (2)}, fjournal = {Annals of Mathematics. Second Series}, volume = {187}, year = {2018}, number = {3}, pages = {825--867}, issn = {0003-486X,1939-8980}, mrclass = {43A85 (30D60 35B34 35P05 35R01 58J50)}, mrnumber = {3779959}, mrreviewer = {Anton\ Deitmar}, doi = {10.4007/annals.2018.187.3.5}, url = {https://doi.org/10.4007/annals.2018.187.3.5} } @article{bourgain.figiel.ea:86:on, author = {Bourgain, J. and Figiel, T. and Milman, V.}, title = {On {H}ilbertian subsets of finite metric spaces}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {55}, year = {1986}, number = {2}, pages = {147--152}, issn = {0021-2172}, mrclass = {46C05 (46B20 54E35)}, mrnumber = {868175}, mrreviewer = {M.\ I.\ Kadets}, doi = {10.1007/BF02801990}, url = {https://doi.org/10.1007/BF02801990} } @article{bourgain.ford.ea:10:on, author = {Bourgain, Jean and Ford, Kevin and Konyagin, Sergei V. and Shparlinski, Igor E.}, title = {On the divisibility of {F}ermat quotients}, journal = {Michigan Math. J.}, fjournal = {Michigan Mathematical Journal}, volume = {59}, year = {2010}, number = {2}, pages = {313--328}, issn = {0026-2285,1945-2365}, mrclass = {11N69 (11A07 11N36)}, mrnumber = {2677624}, mrreviewer = {D.\ R.\ Heath-Brown}, doi = {10.1307/mmj/1281531459}, url = {https://doi.org/10.1307/mmj/1281531459} } @article{bourgain.fremlin.ea:78:pointwise, author = {Bourgain, J. and Fremlin, D. H. and Talagrand, M.}, title = {Pointwise compact sets of {B}aire-measurable functions}, journal = {Amer. J. Math.}, fjournal = {American Journal of Mathematics}, volume = {100}, year = {1978}, number = {4}, pages = {845--886}, issn = {0002-9327,1080-6377}, mrclass = {54C50}, mrnumber = {509077}, mrreviewer = {James\ Chew}, doi = {10.2307/2373913}, url = {https://doi.org/10.2307/2373913} } @article{bourgain.fuchs:11:proof, author = {Bourgain, Jean and Fuchs, Elena}, title = {A proof of the positive density conjecture for integer {A}pollonian circle packings}, journal = {J. Amer. Math. Soc.}, fjournal = {Journal of the American Mathematical Society}, volume = {24}, year = {2011}, number = {4}, pages = {945--967}, issn = {0894-0347,1088-6834}, mrclass = {11D09 (11E16 11E20 52C15)}, mrnumber = {2813334}, mrreviewer = {Matthias\ Beck}, doi = {10.1090/S0894-0347-2011-00707-8}, url = {https://doi.org/10.1090/S0894-0347-2011-00707-8} } @article{bourgain.fuchs:12:on, author = {Bourgain, Jean and Fuchs, Elena}, title = {On representation of integers by binary quadratic forms}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2012}, number = {24}, pages = {5505--5553}, issn = {1073-7928,1687-0247}, mrclass = {11E10 (11N64)}, mrnumber = {3006169}, mrreviewer = {Valentin\ Blomer}, doi = {10.1093/imrn/rnr253}, url = {https://doi.org/10.1093/imrn/rnr253} } @article{bourgain.furman.ea:07:invariant, author = {Bourgain, Jean and Furman, Alex and Lindenstrauss, Elon and Mozes, Shahar}, title = {Invariant measures and stiffness for non-abelian groups of toral automorphisms}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {344}, year = {2007}, number = {12}, pages = {737--742}, issn = {1631-073X,1778-3569}, mrclass = {37A15 (22F10 28D15)}, mrnumber = {2340439}, mrreviewer = {Bryna\ Kra}, doi = {10.1016/j.crma.2007.04.017}, url = {https://doi.org/10.1016/j.crma.2007.04.017} } @article{bourgain.furman.ea:11:stationary, author = {Bourgain, Jean and Furman, Alex and Lindenstrauss, Elon and Mozes, Shahar}, title = {Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus}, journal = {J. Amer. Math. Soc.}, fjournal = {Journal of the American Mathematical Society}, volume = {24}, year = {2011}, number = {1}, pages = {231--280}, issn = {0894-0347,1088-6834}, mrclass = {37A45 (11L07 22F10 37A17)}, mrnumber = {2726604}, mrreviewer = {Thomas\ Ward}, doi = {10.1090/S0894-0347-2010-00674-1}, url = {https://doi.org/10.1090/S0894-0347-2010-00674-1} } @article{bourgain.gamburd.ea:06:sieving, author = {Bourgain, Jean and Gamburd, Alex and Sarnak, Peter}, title = {Sieving and expanders}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {343}, year = {2006}, number = {3}, pages = {155--159}, issn = {1631-073X,1778-3569}, mrclass = {11N35 (11E57 11N32)}, mrnumber = {2246331}, doi = {10.1016/j.crma.2006.05.023}, url = {https://doi.org/10.1016/j.crma.2006.05.023} } @article{bourgain.gamburd.ea:10:affine, author = {Bourgain, Jean and Gamburd, Alex and Sarnak, Peter}, title = {Affine linear sieve, expanders, and sum-product}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {179}, year = {2010}, number = {3}, pages = {559--644}, issn = {0020-9910,1432-1297}, mrclass = {11B30 (11B13 11N35)}, mrnumber = {2587341}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s00222-009-0225-3}, url = {https://doi.org/10.1007/s00222-009-0225-3} } @article{bourgain.gamburd.ea:11:generalization, author = {Bourgain, Jean and Gamburd, Alex and Sarnak, Peter}, title = {Generalization of {S}elberg's {$\frac{3}{16}$} theorem and affine sieve}, journal = {Acta Math.}, fjournal = {Acta Mathematica}, volume = {207}, year = {2011}, number = {2}, pages = {255--290}, issn = {0001-5962,1871-2509}, mrclass = {11F72 (11N36)}, mrnumber = {2892611}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s11511-012-0070-x}, url = {https://doi.org/10.1007/s11511-012-0070-x} } @article{bourgain.gamburd.ea:16:markoff, author = {Bourgain, Jean and Gamburd, Alexander and Sarnak, Peter}, title = {Markoff triples and strong approximation}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {354}, year = {2016}, number = {2}, pages = {131--135}, issn = {1631-073X,1778-3569}, mrclass = {11G05 (14G15)}, mrnumber = {3456887}, mrreviewer = {John\ L.\ Boxall}, doi = {10.1016/j.crma.2015.12.006}, url = {https://doi.org/10.1016/j.crma.2015.12.006} } @article{bourgain.gamburd:06:new, author = {Bourgain, Jean and Gamburd, Alex}, title = {New results on expanders}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {342}, year = {2006}, number = {10}, pages = {717--721}, issn = {1631-073X,1778-3569}, mrclass = {20G40 (11B75)}, mrnumber = {2227746}, mrreviewer = {Alexander\ Lubotzky}, doi = {10.1016/j.crma.2006.02.032}, url = {https://doi.org/10.1016/j.crma.2006.02.032} } @article{bourgain.gamburd:08:expansion, author = {Bourgain, Jean and Gamburd, Alex}, title = {Expansion and random walks in {${\rm SL}_d(\Bbb Z/p^n\Bbb Z)$}. {I}}, journal = {J. Eur. Math. Soc. (JEMS)}, fjournal = {Journal of the European Mathematical Society (JEMS)}, volume = {10}, year = {2008}, number = {4}, pages = {987--1011}, issn = {1435-9855,1435-9863}, mrclass = {05C25}, mrnumber = {2443926}, mrreviewer = {Harald\ A.\ Helfgott}, doi = {10.4171/JEMS/137}, url = {https://doi.org/10.4171/JEMS/137} } @article{bourgain.gamburd:08:on, author = {Bourgain, Jean and Gamburd, Alex}, title = {On the spectral gap for finitely-generated subgroups of {$\rm SU(2)$}}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {171}, year = {2008}, number = {1}, pages = {83--121}, issn = {0020-9910,1432-1297}, mrclass = {22E30 (11B75 43A75)}, mrnumber = {2358056}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s00222-007-0072-z}, url = {https://doi.org/10.1007/s00222-007-0072-z} } @article{bourgain.gamburd:08:random, author = {Bourgain, Jean and Gamburd, Alex}, title = {Random walks and expansion in {${\rm SL}_d(\Bbb Z/p^n\Bbb Z)$}}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {346}, year = {2008}, number = {11-12}, pages = {619--623}, issn = {1631-073X,1778-3569}, mrclass = {20F65 (05C25 20G40)}, mrnumber = {2423265}, mrreviewer = {Tullio\ G.\ Ceccherini-Silberstein}, doi = {10.1016/j.crma.2008.04.006}, url = {https://doi.org/10.1016/j.crma.2008.04.006} } @article{bourgain.gamburd:08:uniform, author = {Bourgain, Jean and Gamburd, Alex}, title = {Uniform expansion bounds for {C}ayley graphs of {${\rm SL}_2(\Bbb F_p)$}}, journal = {Ann. of Math. (2)}, fjournal = {Annals of Mathematics. Second Series}, volume = {167}, year = {2008}, number = {2}, pages = {625--642}, issn = {0003-486X,1939-8980}, mrclass = {20F65 (05C25 05E15 11B30 20G40)}, mrnumber = {2415383}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.4007/annals.2008.167.625}, url = {https://doi.org/10.4007/annals.2008.167.625} } @article{bourgain.gamburd:09:expansion, author = {Bourgain, Jean and Gamburd, Alex}, title = {Expansion and random walks in {${\rm SL}_d(\Bbb Z/p^n\Bbb Z)$}. {II}}, note = {With an appendix by Bourgain}, journal = {J. Eur. Math. Soc. (JEMS)}, fjournal = {Journal of the European Mathematical Society (JEMS)}, volume = {11}, year = {2009}, number = {5}, pages = {1057--1103}, issn = {1435-9855,1435-9863}, mrclass = {60B15 (05C25 20G40 60G50)}, mrnumber = {2538500}, mrreviewer = {Wolfgang\ Woess}, doi = {10.4171/JEMS/175}, url = {https://doi.org/10.4171/JEMS/175} } @article{bourgain.gamburd:10:spectral, author = {Bourgain, Jean and Gamburd, Alexander}, title = {Spectral gaps in {${\rm SU}(d)$}}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {348}, year = {2010}, number = {11-12}, pages = {609--611}, issn = {1631-073X,1778-3569}, mrclass = {11B30}, mrnumber = {2652483}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1016/j.crma.2010.04.024}, url = {https://doi.org/10.1016/j.crma.2010.04.024} } @article{bourgain.gamburd:12:spectral, author = {Bourgain, J. and Gamburd, A.}, title = {A spectral gap theorem in {${\rm SU}(d)$}}, journal = {J. Eur. Math. Soc. (JEMS)}, fjournal = {Journal of the European Mathematical Society (JEMS)}, volume = {14}, year = {2012}, number = {5}, pages = {1455--1511}, issn = {1435-9855,1435-9863}, mrclass = {22E30 (11B30)}, mrnumber = {2966656}, mrreviewer = {B.\ Sury}, doi = {10.4171/JEMS/337}, url = {https://doi.org/10.4171/JEMS/337} } @article{bourgain.garaev.ea:12:on, author = {Bourgain, Jean and Garaev, Moubariz Z. and Konyagin, Sergei V. and Shparlinski, Igor E.}, title = {On the hidden shifted power problem}, journal = {SIAM J. Comput.}, fjournal = {SIAM Journal on Computing}, volume = {41}, year = {2012}, number = {6}, pages = {1524--1557}, issn = {0097-5397,1095-7111}, mrclass = {11T06 (11Y16 68Q25 94A60)}, mrnumber = {3023803}, mrreviewer = {Tom\ Sanders}, doi = {10.1137/110850414}, url = {https://doi.org/10.1137/110850414} } @article{bourgain.garaev.ea:13:on, author = {Bourgain, Jean and Garaev, Moubariz Z. and Konyagin, Sergei V. and Shparlinski, Igor E.}, title = {On congruences with products of variables from short intervals and applications}, journal = {Tr. Mat. Inst. Steklova}, fjournal = {Trudy Matematicheskogo Instituta Imeni V. A. Steklova}, volume = {280}, year = {2013}, pages = {67--96}, issn = {0371-9685}, isbn = {5-7846-0125-3; 978-5-7846-0125-4}, mrclass = {11A07 (11L05)}, mrnumber = {3241837}, mrreviewer = {Ronald\ J.\ Evans}, doi = {10.1134/s0081543813010057}, url = {https://doi.org/10.1134/s0081543813010057} } @article{bourgain.garaev.ea:14:multiplicative, author = {Bourgain, Jean and Garaev, Moubariz Z. and Konyagin, Sergei V. and Shparlinski, Igor E.}, title = {Multiplicative congruences with variables from short intervals}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {124}, year = {2014}, pages = {117--147}, issn = {0021-7670,1565-8538}, mrclass = {11A07 (11L05)}, mrnumber = {3286051}, mrreviewer = {C\'{e}cile\ Dartyge}, doi = {10.1007/s11854-014-0029-2}, url = {https://doi.org/10.1007/s11854-014-0029-2} } @article{bourgain.garaev:09:on, author = {Bourgain, J. and Garaev, M. Z.}, title = {On a variant of sum-product estimates and explicit exponential sum bounds in prime fields}, journal = {Math. Proc. Cambridge Philos. Soc.}, fjournal = {Mathematical Proceedings of the Cambridge Philosophical Society}, volume = {146}, year = {2009}, number = {1}, pages = {1--21}, issn = {0305-0041,1469-8064}, mrclass = {11B13 (11B75 11L07)}, mrnumber = {2461864}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1017/S0305004108001230}, url = {https://doi.org/10.1017/S0305004108001230} } @article{bourgain.garaev:14:kloosterman, author = {Bourgain, J. and Garaev, M. Z.}, title = {Kloosterman sums in residue rings}, journal = {Acta Arith.}, fjournal = {Acta Arithmetica}, volume = {164}, year = {2014}, number = {1}, pages = {43--64}, issn = {0065-1036,1730-6264}, mrclass = {11L05}, mrnumber = {3223318}, mrreviewer = {Michelle\ R.\ DeDeo}, doi = {10.4064/aa164-1-4}, url = {https://doi.org/10.4064/aa164-1-4} } @article{bourgain.glibichuk.ea:06:estimates, author = {Bourgain, J. and Glibichuk, A. A. and Konyagin, S. V.}, title = {Estimates for the number of sums and products and for exponential sums in fields of prime order}, journal = {J. London Math. Soc. (2)}, fjournal = {Journal of the London Mathematical Society. Second Series}, volume = {73}, year = {2006}, number = {2}, pages = {380--398}, issn = {0024-6107,1469-7750}, mrclass = {11L07 (11B75 11L05 11T23)}, mrnumber = {2225493}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1112/S0024610706022721}, url = {https://doi.org/10.1112/S0024610706022721} } @article{bourgain.glibichuk:11:exponential, author = {Bourgain, J. and Glibichuk, A.}, title = {Exponential sum estimates over a subgroup in an arbitrary finite field}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {115}, year = {2011}, pages = {51--70}, issn = {0021-7670,1565-8538}, mrclass = {11L07 (11B30 11T23)}, mrnumber = {2855033}, mrreviewer = {Antonio\ Rojas Le\'{o}n}, doi = {10.1007/s11854-011-0023-x}, url = {https://doi.org/10.1007/s11854-011-0023-x} } @article{bourgain.goldstein.ea:01:anderson, author = {Bourgain, Jean and Goldstein, Michael and Schlag, Wilhelm}, title = {Anderson localization for {S}chr\"{o}dinger operators on {$\Bbb Z$} with potentials given by the skew-shift}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {220}, year = {2001}, number = {3}, pages = {583--621}, issn = {0010-3616,1432-0916}, mrclass = {81Q10 (47B39 47N50 82B44)}, mrnumber = {1843776}, mrreviewer = {Jean-Michel\ Ghez}, doi = {10.1007/PL00005570}, url = {https://doi.org/10.1007/PL00005570} } @article{bourgain.goldstein.ea:02:anderson, author = {Bourgain, Jean and Goldstein, Michael and Schlag, Wilhelm}, title = {Anderson localization for {S}chr\"{o}dinger operators on {$\bold Z^2$} with quasi-periodic potential}, journal = {Acta Math.}, fjournal = {Acta Mathematica}, volume = {188}, year = {2002}, number = {1}, pages = {41--86}, issn = {0001-5962,1871-2509}, mrclass = {81Q10 (47B80 47N50 60J45 82B44)}, mrnumber = {1947458}, mrreviewer = {Svetlana\ Jitomirskaya}, doi = {10.1007/BF02392795}, url = {https://doi.org/10.1007/BF02392795} } @article{bourgain.goldstein:00:on, author = {Bourgain, J. and Goldstein, M.}, title = {On nonperturbative localization with quasi-periodic potential}, journal = {Ann. of Math. (2)}, fjournal = {Annals of Mathematics. Second Series}, volume = {152}, year = {2000}, number = {3}, pages = {835--879}, issn = {0003-486X,1939-8980}, mrclass = {39A70 (35J10 47N20 60F10 60H25 82B05)}, mrnumber = {1815703}, mrreviewer = {Kalyan\ B.\ Sinha}, doi = {10.2307/2661356}, url = {https://doi.org/10.2307/2661356} } @article{bourgain.golse.ea:98:on, author = {Bourgain, Jean and Golse, Fran\c{c}ois and Wennberg, Bernt}, title = {On the distribution of free path lengths for the periodic {L}orentz gas}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {190}, year = {1998}, number = {3}, pages = {491--508}, issn = {0010-3616,1432-0916}, mrclass = {82C40 (58F40)}, mrnumber = {1600299}, mrreviewer = {Nikolai\ Chernov}, doi = {10.1007/s002200050249}, url = {https://doi.org/10.1007/s002200050249} } @incollection{bourgain.gromov:89:estimates, author = {Bourgain, J. and Gromov, M.}, title = {Estimates of {B}ernstein widths of {S}obolev spaces}, booktitle = {Geometric aspects of functional analysis (1987--88)}, series = {Lecture Notes in Math.}, volume = {1376}, pages = {176--185}, publisher = {Springer, Berlin}, year = {1989}, isbn = {3-540-51303-5}, mrclass = {41A46 (46E35)}, mrnumber = {1008722}, mrreviewer = {Allan\ Pinkus}, doi = {10.1007/BFb0090054}, url = {https://doi.org/10.1007/BFb0090054} } @article{bourgain.grunbaum.ea:14:quantum, author = {Bourgain, J. and Gr\"{u}nbaum, F. A. and Vel\'{a}zquez, L. and Wilkening, J.}, title = {Quantum recurrence of a subspace and operator-valued {S}chur functions}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {329}, year = {2014}, number = {3}, pages = {1031--1067}, issn = {0010-3616,1432-0916}, mrclass = {81Q10 (81P15)}, mrnumber = {3212879}, mrreviewer = {Francisco\ Marcell\'{a}n}, doi = {10.1007/s00220-014-1929-9}, url = {https://doi.org/10.1007/s00220-014-1929-9} } @article{bourgain.guth:11:bounds, author = {Bourgain, Jean and Guth, Lawrence}, title = {Bounds on oscillatory integral operators}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {349}, year = {2011}, number = {3-4}, pages = {137--141}, issn = {1631-073X,1778-3569}, mrclass = {42B20 (42B10 42B15)}, mrnumber = {2769895}, mrreviewer = {Dashan\ Fan}, doi = {10.1016/j.crma.2010.12.004}, url = {https://doi.org/10.1016/j.crma.2010.12.004} } @article{bourgain.guth:11:bounds*1, author = {Bourgain, Jean and Guth, Larry}, title = {Bounds on oscillatory integral operators based on multilinear estimates}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {21}, year = {2011}, number = {6}, pages = {1239--1295}, issn = {1016-443X,1420-8970}, mrclass = {42B20}, mrnumber = {2860188}, mrreviewer = {Andrei\ K.\ Lerner}, doi = {10.1007/s00039-011-0140-9}, url = {https://doi.org/10.1007/s00039-011-0140-9} } @incollection{bourgain.jitomirskaya:00:anderson, author = {Bourgain, J. and Jitomirskaya, S.}, title = {Anderson localization for the band model}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {1745}, pages = {67--79}, publisher = {Springer, Berlin}, year = {2000}, isbn = {3-540-41070-8}, mrclass = {81Q10 (39A70 47B39 47N50 82B44)}, mrnumber = {1796713}, mrreviewer = {Jean-Michel\ Ghez}, doi = {10.1007/BFb0107208}, url = {https://doi.org/10.1007/BFb0107208} } @article{bourgain.jitomirskaya:02:absolutely, author = {Bourgain, J. and Jitomirskaya, S.}, title = {Absolutely continuous spectrum for 1{D} quasiperiodic operators}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {148}, year = {2002}, number = {3}, pages = {453--463}, issn = {0020-9910,1432-1297}, mrclass = {47B39 (39A70 47A10 47N50 81Q10)}, mrnumber = {1908056}, mrreviewer = {Fr\'{e}d\'{e}ric\ Klopp}, doi = {10.1007/s002220100196}, url = {https://doi.org/10.1007/s002220100196} } @incollection{bourgain.jitomirskaya:02:continuity, author = {Bourgain, J. and Jitomirskaya, S.}, title = {Continuity of the {L}yapunov exponent for quasiperiodic operators with analytic potential}, 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 = {1203--1218}, issn = {0022-4715,1572-9613}, mrclass = {47B39 (47B36 47N50 81Q10 82B44)}, mrnumber = {1933451}, doi = {10.1023/A:1019751801035}, url = {https://doi.org/10.1023/A:1019751801035} } @article{bourgain.kachkovskiy:19:anderson, author = {Bourgain, Jean and Kachkovskiy, Ilya}, title = {Anderson localization for two interacting quasiperiodic particles}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {29}, year = {2019}, number = {1}, pages = {3--43}, issn = {1016-443X,1420-8970}, mrclass = {82C22 (47F05)}, mrnumber = {3925103}, doi = {10.1007/s00039-019-00478-4}, url = {https://doi.org/10.1007/s00039-019-00478-4} } @article{bourgain.kahane:10:sur, author = {Bourgain, Jean and Kahane, Jean-Pierre}, title = {Sur les s\'{e}ries de {F}ourier des fonctions continues unimodulaires}, journal = {Ann. Inst. Fourier (Grenoble)}, fjournal = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier}, volume = {60}, year = {2010}, number = {4}, pages = {1201--1214}, issn = {0373-0956,1777-5310}, mrclass = {42A16 (30B50)}, mrnumber = {2722238}, mrreviewer = {P.\ L.\ Duren}, url = {http://aif.cedram.org/item?id=AIF_2010__60_4_1201_0} } @article{bourgain.kahn.ea:92:influence, author = {Bourgain, Jean and Kahn, Jeff and Kalai, Gil and Katznelson, Yitzhak and Linial, Nathan}, title = {The influence of variables in product spaces}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {77}, year = {1992}, number = {1-2}, pages = {55--64}, issn = {0021-2172,1565-8511}, mrclass = {05D05 (05A20 28A35 60B15 60F15)}, mrnumber = {1194785}, mrreviewer = {Wolfgang\ Lusky}, doi = {10.1007/BF02808010}, url = {https://doi.org/10.1007/BF02808010} } @article{bourgain.kalai:97:influences, author = {Bourgain, J. and Kalai, G.}, title = {Influences of variables and threshold intervals under group symmetries}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {7}, year = {1997}, number = {3}, pages = {438--461}, issn = {1016-443X,1420-8970}, mrclass = {20B35 (05C80 20B15)}, mrnumber = {1466334}, mrreviewer = {Wolfgang\ Lusky}, doi = {10.1007/s000390050015}, url = {https://doi.org/10.1007/s000390050015} } @incollection{bourgain.kalai:99:threshold, author = {Bourgain, Jean and Kalai, Gil}, title = {Threshold intervals under group symmetries}, booktitle = {Convex geometric analysis ({B}erkeley, {CA}, 1996)}, series = {Math. Sci. Res. Inst. Publ.}, volume = {34}, pages = {59--63}, publisher = {Cambridge Univ. Press, Cambridge}, year = {1999}, isbn = {0-521-64259-0}, mrclass = {05C80}, mrnumber = {1665577} } @article{bourgain.kaloshin:05:on, author = {Bourgain, Jean and Kaloshin, Vadim}, title = {On diffusion in high-dimensional {H}amiltonian systems}, journal = {J. Funct. Anal.}, fjournal = {Journal of Functional Analysis}, volume = {229}, year = {2005}, number = {1}, pages = {1--61}, issn = {0022-1236,1096-0783}, mrclass = {37J40 (35B25 35F20 37J35)}, mrnumber = {2180073}, mrreviewer = {Maria\ E.\ Saprykina}, doi = {10.1016/j.jfa.2004.09.006}, url = {https://doi.org/10.1016/j.jfa.2004.09.006} } @incollection{bourgain.kalton.ea:89:geometry, author = {Bourgain, J. and Kalton, N. J. and Tzafriri, L.}, title = {Geometry of finite-dimensional subspaces and quotients of {$L_p$}}, booktitle = {Geometric aspects of functional analysis (1987--88)}, series = {Lecture Notes in Math.}, volume = {1376}, pages = {138--175}, publisher = {Springer, Berlin}, year = {1989}, isbn = {3-540-51303-5}, mrclass = {46B25}, mrnumber = {1008721}, mrreviewer = {H.\ E.\ Lacey}, doi = {10.1007/BFb0090053}, url = {https://doi.org/10.1007/BFb0090053} } @article{bourgain.katz.ea:04:sum-product, author = {Bourgain, J. and Katz, N. and Tao, T.}, title = {A sum-product estimate in finite fields, and applications}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {14}, year = {2004}, number = {1}, pages = {27--57}, issn = {1016-443X,1420-8970}, mrclass = {11B75 (11T30)}, mrnumber = {2053599}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s00039-004-0451-1}, url = {https://doi.org/10.1007/s00039-004-0451-1} } @article{bourgain.kenig:05:on, author = {Bourgain, Jean and Kenig, Carlos E.}, title = {On localization in the continuous {A}nderson-{B}ernoulli model in higher dimension}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {161}, year = {2005}, number = {2}, pages = {389--426}, issn = {0020-9910,1432-1297}, mrclass = {82B44 (60H25 81Q10 82B10)}, mrnumber = {2180453}, mrreviewer = {David\ Damanik}, doi = {10.1007/s00222-004-0435-7}, url = {https://doi.org/10.1007/s00222-004-0435-7} } @article{bourgain.klartag.ea:03:reduction, author = {Bourgain, Jean and Klartag, Bo'az and Milman, Vitali}, title = {A reduction of the slicing problem to finite volume ratio bodies}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {336}, year = {2003}, number = {4}, pages = {331--334}, issn = {1631-073X,1778-3569}, mrclass = {52A20 (46B20)}, mrnumber = {1976313}, mrreviewer = {Shlomo\ Reisner}, doi = {10.1016/S1631-073X(03)00041-4}, url = {https://doi.org/10.1016/S1631-073X(03)00041-4} } @incollection{bourgain.klartag.ea:04:symmetrization, author = {Bourgain, J. and Klartag, B. and Milman, V.}, title = {Symmetrization and isotropic constants of convex bodies}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {1850}, pages = {101--115}, publisher = {Springer, Berlin}, year = {2004}, isbn = {3-540-22360-6}, mrclass = {52A20}, mrnumber = {2087154}, mrreviewer = {Shlomo\ Reisner}, doi = {10.1007/978-3-540-44489-3\_10}, url = {https://doi.org/10.1007/978-3-540-44489-3_10} } @article{bourgain.klein:13:bounds, author = {Bourgain, Jean and Klein, Abel}, title = {Bounds on the density of states for {S}chr\"{o}dinger operators}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {194}, year = {2013}, number = {1}, pages = {41--72}, issn = {0020-9910,1432-1297}, mrclass = {35J10 (35B65)}, mrnumber = {3103255}, mrreviewer = {Kenichi\ Ito}, doi = {10.1007/s00222-012-0440-1}, url = {https://doi.org/10.1007/s00222-012-0440-1} } @article{bourgain.kontorovich.ea:10:sector, author = {Bourgain, Jean and Kontorovich, Alex and Sarnak, Peter}, title = {Sector estimates for hyperbolic isometries}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {20}, year = {2010}, number = {5}, pages = {1175--1200}, issn = {1016-443X,1420-8970}, mrclass = {11F72 (22F30 37A17 37A25)}, mrnumber = {2746950}, doi = {10.1007/s00039-010-0092-5}, url = {https://doi.org/10.1007/s00039-010-0092-5} } @article{bourgain.kontorovich:10:erratum, author = {Bourgain, Jean and Kontorovich, Alex}, title = {Erratum to: {O}n representations of integers in thin subgroups of {${\rm SL}_2(\Bbb Z)$} [MR2746949]}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {20}, year = {2010}, number = {6}, pages = {1548--1549}, issn = {1016-443X,1420-8970}, mrclass = {11F12 (11L07)}, mrnumber = {2739002}, doi = {10.1007/s00039-010-0104-5}, url = {https://doi.org/10.1007/s00039-010-0104-5} } @article{bourgain.kontorovich:10:on, author = {Bourgain, Jean and Kontorovich, Alex}, title = {On a theorem of {F}riedlander and {I}waniec}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {348}, year = {2010}, number = {17-18}, pages = {947--950}, issn = {1631-073X,1778-3569}, mrclass = {11N05 (11E12)}, mrnumber = {2721776}, doi = {10.1016/j.crma.2010.08.004}, url = {https://doi.org/10.1016/j.crma.2010.08.004} } @article{bourgain.kontorovich:10:on*1, author = {Bourgain, Jean and Kontorovich, Alex}, title = {On representations of integers in thin subgroups of {${\rm SL}_2(\Bbb Z)$}}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {20}, year = {2010}, number = {5}, pages = {1144--1174}, issn = {1016-443X,1420-8970}, mrclass = {11B30 (11B05 11L07 11P55)}, mrnumber = {2746949}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s00039-010-0093-4}, url = {https://doi.org/10.1007/s00039-010-0093-4} } @article{bourgain.kontorovich:11:on, author = {Bourgain, Jean and Kontorovich, Alex}, title = {On {Z}aremba's conjecture}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {349}, year = {2011}, number = {9-10}, pages = {493--495}, issn = {1631-073X,1778-3569}, mrclass = {11B05 (11K50)}, mrnumber = {2802911}, doi = {10.1016/j.crma.2011.03.023}, url = {https://doi.org/10.1016/j.crma.2011.03.023} } @article{bourgain.kontorovich:14:on, author = {Bourgain, Jean and Kontorovich, Alex}, title = {On {Z}aremba's conjecture}, journal = {Ann. of Math. (2)}, fjournal = {Annals of Mathematics. Second Series}, volume = {180}, year = {2014}, number = {1}, pages = {137--196}, issn = {0003-486X,1939-8980}, mrclass = {11J70 (11A55)}, mrnumber = {3194813}, mrreviewer = {Oto\ Strauch}, doi = {10.4007/annals.2014.180.1.3}, url = {https://doi.org/10.4007/annals.2014.180.1.3} } @article{bourgain.kontorovich:14:on*1, author = {Bourgain, Jean and Kontorovich, Alex}, title = {On the local-global conjecture for integral {A}pollonian gaskets}, note = {With an appendix by P\'{e}ter P. Varj\'{u}}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {196}, year = {2014}, number = {3}, pages = {589--650}, issn = {0020-9910,1432-1297}, mrclass = {11F03 (52C26)}, mrnumber = {3211042}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s00222-013-0475-y}, url = {https://doi.org/10.1007/s00222-013-0475-y} } @article{bourgain.kontorovich:15:affine, author = {Bourgain, Jean and Kontorovich, Alex}, title = {The affine sieve beyond expansion {I}: {T}hin hypotenuses}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2015}, number = {19}, pages = {9175--9205}, issn = {1073-7928,1687-0247}, mrclass = {11N35 (11N36 20H25)}, mrnumber = {3431590}, mrreviewer = {B.\ Sury}, doi = {10.1093/imrn/rnu222}, url = {https://doi.org/10.1093/imrn/rnu222} } @article{bourgain.kontorovich:17:beyond, author = {Bourgain, Jean and Kontorovich, Alex}, title = {Beyond expansion {II}: low-lying fundamental geodesics}, journal = {J. Eur. Math. Soc. (JEMS)}, fjournal = {Journal of the European Mathematical Society (JEMS)}, volume = {19}, year = {2017}, number = {5}, pages = {1331--1359}, issn = {1435-9855,1435-9863}, mrclass = {11J70 (11N36 37A45)}, mrnumber = {3635355}, mrreviewer = {B.\ Sury}, doi = {10.4171/JEMS/694}, url = {https://doi.org/10.4171/JEMS/694} } @article{bourgain.kontorovich:18:beyond, author = {Bourgain, Jean and Kontorovich, Alex}, title = {Beyond expansion {IV}: {T}races of thin semigroups}, journal = {Discrete Anal.}, fjournal = {Discrete Analysis}, year = {2018}, pages = {Paper No. 6, 27}, issn = {2397-3129}, mrclass = {11J70 (20M10 37D40)}, mrnumber = {3786905}, mrreviewer = {B.\ Sury}, doi = {10.19086/da.3471}, url = {https://doi.org/10.19086/da.3471} } @article{bourgain.kontorovich:19:beyond, author = {Bourgain, Jean and Kontorovich, Alex}, title = {Beyond expansion, {III}: {R}eciprocal geodesics}, journal = {Duke Math. J.}, fjournal = {Duke Mathematical Journal}, volume = {168}, year = {2019}, number = {18}, pages = {3413--3435}, issn = {0012-7094,1547-7398}, mrclass = {11J70 (11N36 37A45)}, mrnumber = {4034890}, mrreviewer = {B.\ Sury}, doi = {10.1215/00127094-2019-0056}, url = {https://doi.org/10.1215/00127094-2019-0056} } @article{bourgain.konyagin.ea:08:product, author = {Bourgain, Jean and Konyagin, Sergei V. and Shparlinski, Igor E.}, title = {Product sets of rationals, multiplicative translates of subgroups in residue rings, and fixed points of the discrete logarithm}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2008}, pages = {Art. ID rnn 090, 29}, issn = {1073-7928,1687-0247}, mrclass = {11A07 (11B57)}, mrnumber = {2439546}, mrreviewer = {Tom\ Sanders}, doi = {10.1093/imrn/rnn090}, url = {https://doi.org/10.1093/imrn/rnn090} } @article{bourgain.konyagin.ea:09:corrigenda, author = {Bourgain, Jean and Konyagin, Sergei V. and Shparlinski, Igor E.}, title = {Corrigenda to: {P}roduct sets of rationals, multiplicative translates of subgroups in residue rings and fixed points of the discrete logarithm [MR2439546]}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2009}, number = {16}, pages = {3146--3147}, issn = {1073-7928,1687-0247}, mrclass = {11A07 (11B57)}, mrnumber = {2533800}, doi = {10.1093/imrn/rnp041}, url = {https://doi.org/10.1093/imrn/rnp041} } @article{bourgain.konyagin.ea:09:on, author = {Bourgain, Jean and Konyagin, Sergei V. and Pomerance, Carl and Shparlinski, Igor E.}, title = {On the smallest pseudopower}, journal = {Acta Arith.}, fjournal = {Acta Arithmetica}, volume = {140}, year = {2009}, number = {1}, pages = {43--55}, issn = {0065-1036,1730-6264}, mrclass = {11L07 (11A07 11A15)}, mrnumber = {2557852}, mrreviewer = {Jeffrey\ O.\ Shallit}, doi = {10.4064/aa140-1-3}, url = {https://doi.org/10.4064/aa140-1-3} } @article{bourgain.konyagin.ea:12:distribution, author = {Bourgain, Jean and Konyagin, Sergei V. and Shparlinski, Igor E.}, title = {Distribution of elements of cosets of small subgroups and applications}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2012}, number = {9}, pages = {1968--2009}, issn = {1073-7928,1687-0247}, mrclass = {11B30}, mrnumber = {2920821}, mrreviewer = {Tom\ Sanders}, doi = {10.1093/imrn/rnr097}, url = {https://doi.org/10.1093/imrn/rnr097} } @article{bourgain.konyagin.ea:15:character, author = {Bourgain, Jean and Konyagin, Sergei V. and Shparlinski, Igor E.}, title = {Character sums and deterministic polynomial root finding in finite fields}, journal = {Math. Comp.}, fjournal = {Mathematics of Computation}, volume = {84}, year = {2015}, number = {296}, pages = {2969--2977}, issn = {0025-5718,1088-6842}, mrclass = {11T06 (11L40 11Y16 68Q25)}, mrnumber = {3378857}, mrreviewer = {Alina\ Ostafe}, doi = {10.1090/mcom/2946}, url = {https://doi.org/10.1090/mcom/2946} } @article{bourgain.konyagin:03:estimates, author = {Bourgain, Jean and Konyagin, S. V.}, title = {Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {337}, year = {2003}, number = {2}, pages = {75--80}, issn = {1631-073X,1778-3569}, mrclass = {11L07 (11T23)}, mrnumber = {1998834}, mrreviewer = {Olivier\ Robert}, doi = {10.1016/S1631-073X(03)00281-4}, url = {https://doi.org/10.1016/S1631-073X(03)00281-4} } @article{bourgain.korobkov.ea:13:on, author = {Bourgain, Jean and Korobkov, Mikhail and Kristensen, Jan}, title = {On the {M}orse-{S}ard property and level sets of {S}obolev and {BV} functions}, journal = {Rev. Mat. Iberoam.}, fjournal = {Revista Matem\'{a}tica Iberoamericana}, volume = {29}, year = {2013}, number = {1}, pages = {1--23}, issn = {0213-2230,2235-0616}, mrclass = {58K05 (46E35)}, mrnumber = {3010119}, mrreviewer = {P.\ P.\ Zabreu{i}ko}, doi = {10.4171/RMI/710}, url = {https://doi.org/10.4171/RMI/710} } @article{bourgain.korobkov.ea:15:on, author = {Bourgain, Jean and Korobkov, Mikhail V. and Kristensen, Jan}, title = {On the {M}orse-{S}ard property and level sets of {${\rm W}^{n,1}$} {S}obolev functions on {$\Bbb{R}^n$}}, journal = {J. Reine Angew. Math.}, fjournal = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's Journal]}, volume = {700}, year = {2015}, pages = {93--112}, issn = {0075-4102,1435-5345}, mrclass = {58C25 (46E35)}, mrnumber = {3318511}, mrreviewer = {Hossein\ Movahedi-Lankarani}, doi = {10.1515/crelle-2013-0002}, url = {https://doi.org/10.1515/crelle-2013-0002} } @article{bourgain.kostyukovsky.ea:00:remark, author = {Bourgain, J. and Kostyukovsky, S. and Olevskiu{i}, A.}, title = {A remark on a maximal operator for {F}ourier multipliers}, journal = {Real Anal. Exchange}, fjournal = {Real Analysis Exchange}, volume = {26}, year = {2000/01}, number = {2}, pages = {901--904}, issn = {0147-1937,1930-1219}, mrclass = {42A05 (42A45)}, mrnumber = {1844404}, mrreviewer = {Eduard\ Belinskii} } @article{bourgain.kozma:07:one, author = {Bourgain, Jean and Kozma, Gady}, title = {One cannot hear the winding number}, journal = {J. Eur. Math. Soc. (JEMS)}, fjournal = {Journal of the European Mathematical Society (JEMS)}, volume = {9}, year = {2007}, number = {4}, pages = {637--658}, issn = {1435-9855,1435-9863}, mrclass = {42A16 (42A61)}, mrnumber = {2341826}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.4171/JEMS/91}, url = {https://doi.org/10.4171/JEMS/91} } @article{bourgain.lewko:17:sidonicity, author = {Bourgain, Jean and Lewko, Mark}, title = {Sidonicity and variants of {K}aczmarz's problem}, journal = {Ann. Inst. Fourier (Grenoble)}, fjournal = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier}, volume = {67}, year = {2017}, number = {3}, pages = {1321--1352}, issn = {0373-0956,1777-5310}, mrclass = {43A46 (42C05)}, mrnumber = {3668774}, mrreviewer = {D.\ L.\ Salinger}, url = {http://aif.cedram.org/item?id=AIF_2017__67_3_1321_0} } @article{bourgain.li:14:on, author = {Bourgain, Jean and Li, Dong}, title = {On an endpoint {K}ato-{P}once inequality}, journal = {Differential Integral Equations}, fjournal = {Differential and Integral Equations. An International Journal for Theory \& Applications}, volume = {27}, year = {2014}, number = {11-12}, pages = {1037--1072}, issn = {0893-4983}, mrclass = {42B20 (46E35)}, mrnumber = {3263081}, mrreviewer = {Juha\ K.\ Kinnunen}, url = {http://projecteuclid.org/euclid.die/1408366784} } @article{bourgain.li:15:strong, author = {Bourgain, Jean and Li, Dong}, title = {Strong illposedness of the incompressible {E}uler equation in integer {$C^m$} spaces}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {25}, year = {2015}, number = {1}, pages = {1--86}, issn = {1016-443X,1420-8970}, mrclass = {35Q31 (35B30 35R25)}, mrnumber = {3320889}, mrreviewer = {Franck\ Sueur}, doi = {10.1007/s00039-015-0311-1}, url = {https://doi.org/10.1007/s00039-015-0311-1} } @article{bourgain.li:15:strong*1, author = {Bourgain, Jean and Li, Dong}, title = {Strong ill-posedness of the incompressible {E}uler equation in borderline {S}obolev spaces}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {201}, year = {2015}, number = {1}, pages = {97--157}, issn = {0020-9910,1432-1297}, mrclass = {35Q31 (35B30)}, mrnumber = {3359050}, mrreviewer = {Emil\ Wiedemann}, doi = {10.1007/s00222-014-0548-6}, url = {https://doi.org/10.1007/s00222-014-0548-6} } @article{bourgain.li:19:galilean, author = {Bourgain, Jean and Li, Dong}, title = {Galilean boost and non-uniform continuity for incompressible {E}uler}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {372}, year = {2019}, number = {1}, pages = {261--280}, issn = {0010-3616,1432-0916}, mrclass = {35Q31}, mrnumber = {4031801}, mrreviewer = {Xinyu\ He}, doi = {10.1007/s00220-019-03373-z}, url = {https://doi.org/10.1007/s00220-019-03373-z} } @article{bourgain.li:21:strong, author = {Bourgain, Jean and Li, Dong}, title = {Strong ill-posedness of the 3{D} incompressible {E}uler equation in borderline spaces}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2021}, number = {16}, pages = {12155--12264}, issn = {1073-7928,1687-0247}, mrclass = {35Q30}, mrnumber = {4300224}, mrreviewer = {Jean\ C.\ Cortissoz}, doi = {10.1093/imrn/rnz158}, url = {https://doi.org/10.1093/imrn/rnz158} } @article{bourgain.lindenstrauss.ea:09:some, author = {Bourgain, Jean and Lindenstrauss, Elon and Michel, Philippe and Venkatesh, Akshay}, title = {Some effective results for {$\times a\times b$}}, journal = {Ergodic Theory Dynam. Systems}, fjournal = {Ergodic Theory and Dynamical Systems}, volume = {29}, year = {2009}, number = {6}, pages = {1705--1722}, issn = {0143-3857,1469-4417}, mrclass = {37A45 (11K06 28D20 37A35)}, mrnumber = {2563089}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1017/S0143385708000898}, url = {https://doi.org/10.1017/S0143385708000898} } @article{bourgain.lindenstrauss.ea:86:sur, author = {Bourgain, Jean and Lindenstrauss, Joram and Milman, Vitali}, title = {Sur l'approximation de zono\"{i}des par des zonot\^{o}pes}, 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 = {303}, year = {1986}, number = {20}, pages = {987--988}, issn = {0249-6291}, mrclass = {46E30 (46B20)}, mrnumber = {877187}, mrreviewer = {Gunnar\ Hans\ Olsen} } @incollection{bourgain.lindenstrauss.ea:88:minkowski, author = {Bourgain, J. and Lindenstrauss, J. and Milman, V. D.}, title = {Minkowski sums and symmetrizations}, booktitle = {Geometric aspects of functional analysis (1986/87)}, series = {Lecture Notes in Math.}, volume = {1317}, pages = {44--66}, publisher = {Springer, Berlin}, year = {1988}, isbn = {3-540-19353-7}, mrclass = {46B20 (46E99 52A20 52A22)}, mrnumber = {950975}, mrreviewer = {G.\ Schechtman}, doi = {10.1007/BFb0081735}, url = {https://doi.org/10.1007/BFb0081735} } @article{bourgain.lindenstrauss.ea:89:approximation, author = {Bourgain, J. and Lindenstrauss, J. and Milman, V.}, title = {Approximation of zonoids by zonotopes}, journal = {Acta Math.}, fjournal = {Acta Mathematica}, volume = {162}, year = {1989}, number = {1-2}, pages = {73--141}, issn = {0001-5962,1871-2509}, mrclass = {46B20 (52A25 52A45)}, mrnumber = {981200}, mrreviewer = {T.\ Figiel}, doi = {10.1007/BF02392835}, url = {https://doi.org/10.1007/BF02392835} } @incollection{bourgain.lindenstrauss.ea:89:estimates, author = {Bourgain, J. and Lindenstrauss, J. and Milman, V.}, title = {Estimates related to {S}teiner symmetrizations}, booktitle = {Geometric aspects of functional analysis (1987--88)}, series = {Lecture Notes in Math.}, volume = {1376}, pages = {264--273}, publisher = {Springer, Berlin}, year = {1989}, isbn = {3-540-51303-5}, mrclass = {52A20}, mrnumber = {1008728}, mrreviewer = {A.\ Florian}, doi = {10.1007/BFb0090060}, url = {https://doi.org/10.1007/BFb0090060} } @article{bourgain.lindenstrauss:03:entropy, author = {Bourgain, Jean and Lindenstrauss, Elon}, title = {Entropy of quantum limits}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {233}, year = {2003}, number = {1}, pages = {153--171}, issn = {0010-3616,1432-0916}, mrclass = {11F72 (11F37 58J50 81Q50)}, mrnumber = {1957735}, mrreviewer = {Boris\ Hasselblatt}, doi = {10.1007/s00220-002-0770-8}, url = {https://doi.org/10.1007/s00220-002-0770-8} } @article{bourgain.lindenstrauss:88:distribution, author = {Bourgain, J. and Lindenstrauss, J.}, title = {Distribution of points on spheres and approximation by zonotopes}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {64}, year = {1988}, number = {1}, pages = {25--31}, issn = {0021-2172}, mrclass = {46B20 (52A25 52A45)}, mrnumber = {981745}, mrreviewer = {T.\ Figiel}, doi = {10.1007/BF02767366}, url = {https://doi.org/10.1007/BF02767366} } @article{bourgain.lindenstrauss:88:nouveaux, author = {Bourgain, Jean and Lindenstrauss, Joram}, title = {Nouveaux r\'{e}sultats sur les zono\"{i}des et les corps de projection}, 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 = {306}, year = {1988}, number = {8}, pages = {377--380}, issn = {0249-6291}, mrclass = {52A20}, mrnumber = {934623}, mrreviewer = {P.\ McMullen} } @incollection{bourgain.lindenstrauss:88:projection, author = {Bourgain, J. and Lindenstrauss, J.}, title = {Projection bodies}, booktitle = {Geometric aspects of functional analysis (1986/87)}, series = {Lecture Notes in Math.}, volume = {1317}, pages = {250--270}, publisher = {Springer, Berlin}, year = {1988}, isbn = {3-540-19353-7}, mrclass = {46B20 (52A20)}, mrnumber = {950986}, mrreviewer = {G.\ Schechtman}, doi = {10.1007/BFb0081746}, url = {https://doi.org/10.1007/BFb0081746} } @incollection{bourgain.lindenstrauss:89:almost, author = {Bourgain, J. and Lindenstrauss, J.}, title = {Almost {E}uclidean sections in spaces with a symmetric basis}, booktitle = {Geometric aspects of functional analysis (1987--88)}, series = {Lecture Notes in Math.}, volume = {1376}, pages = {278--288}, publisher = {Springer, Berlin}, year = {1989}, isbn = {3-540-51303-5}, mrclass = {46B20 (52A20)}, mrnumber = {1008730}, mrreviewer = {Stephen\ J.\ Dilworth}, doi = {10.1007/BFb0090062}, url = {https://doi.org/10.1007/BFb0090062} } @incollection{bourgain.lindenstrauss:91:on, author = {Bourgain, J. and Lindenstrauss, J.}, title = {On covering a set in {${\bf R}^N$} by balls of the same diameter}, booktitle = {Geometric aspects of functional analysis (1989--90)}, series = {Lecture Notes in Math.}, volume = {1469}, pages = {138--144}, publisher = {Springer, Berlin}, year = {1991}, isbn = {3-540-54024-5}, mrclass = {52C17}, mrnumber = {1122618}, mrreviewer = {Keith\ Ball}, doi = {10.1007/BFb0089220}, url = {https://doi.org/10.1007/BFb0089220} } @article{bourgain.lindenstrauss:93:approximating, author = {Bourgain, Jean and Lindenstrauss, Joram}, title = {Approximating the ball by a {M}inkowski sum of segments with equal length}, journal = {Discrete Comput. Geom.}, fjournal = {Discrete \& Computational Geometry. An International Journal of Mathematics and Computer Science}, volume = {9}, year = {1993}, number = {2}, pages = {131--144}, issn = {0179-5376,1432-0444}, mrclass = {52A21 (46B20)}, mrnumber = {1194031}, mrreviewer = {W.\ J.\ Firey}, doi = {10.1007/BF02189313}, url = {https://doi.org/10.1007/BF02189313} } @incollection{bourgain.meyer.ea:88:on, author = {Bourgain, J. and Meyer, M. and Milman, V. and Pajor, A.}, title = {On a geometric inequality}, booktitle = {Geometric aspects of functional analysis (1986/87)}, series = {Lecture Notes in Math.}, volume = {1317}, pages = {271--282}, publisher = {Springer, Berlin}, year = {1988}, isbn = {3-540-19353-7}, mrclass = {46B05 (46B20)}, mrnumber = {950987}, mrreviewer = {Yehoram\ Gordon}, doi = {10.1007/BFb0081747}, url = {https://doi.org/10.1007/BFb0081747} } @article{bourgain.milman.ea:86:on, author = {Bourgain, J. and Milman, V. and Wolfson, H.}, title = {On type of metric spaces}, journal = {Trans. Amer. Math. Soc.}, fjournal = {Transactions of the American Mathematical Society}, volume = {294}, year = {1986}, number = {1}, pages = {295--317}, issn = {0002-9947,1088-6850}, mrclass = {46B99 (46G99 54E35 58C99)}, mrnumber = {819949}, mrreviewer = {Gilles\ Pisier}, doi = {10.2307/2000132}, url = {https://doi.org/10.2307/2000132} } @article{bourgain.milman:85:dichotomie, author = {Bourgain, Jean and Milman, Vitali}, title = {Dichotomie du cotype pour les espaces invariants}, 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 = {300}, year = {1985}, number = {9}, pages = {263--266}, issn = {0249-6291}, mrclass = {43A46 (46B99)}, mrnumber = {785065}, mrreviewer = {Fran\c{c}oise\ Lust-Piquard} } @article{bourgain.milman:85:sections, author = {Bourgain, Jean and Milman, Vitali D.}, title = {Sections euclidiennes et volume des corps sym\'{e}triques convexes dans {${\bf R}^n$}}, journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.}, fjournal = {Comptes Rendus des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}rie I. Math\'{e}matique}, volume = {300}, year = {1985}, number = {13}, pages = {435--438}, issn = {0249-6291}, mrclass = {52A40 (46B99 52A20)}, mrnumber = {794017} } @article{bourgain.milman:86:distances, author = {Bourgain, J. and Milman, V. D.}, title = {Distances between normed spaces, their subspaces and quotient spaces}, journal = {Integral Equations Operator Theory}, fjournal = {Integral Equations and Operator Theory}, volume = {9}, year = {1986}, number = {1}, pages = {31--46}, issn = {0378-620X,1420-8989}, mrclass = {46B20 (46B25)}, mrnumber = {824618}, mrreviewer = {David\ Yost}, doi = {10.1007/BF01257060}, url = {https://doi.org/10.1007/BF01257060} } @article{bourgain.milman:87:new, author = {Bourgain, J. and Milman, V. D.}, title = {New volume ratio properties for convex symmetric bodies in {${\bf R}^n$}}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {88}, year = {1987}, number = {2}, pages = {319--340}, issn = {0020-9910,1432-1297}, mrclass = {52A40 (52A20)}, mrnumber = {880954}, mrreviewer = {W.\ J.\ Firey}, doi = {10.1007/BF01388911}, url = {https://doi.org/10.1007/BF01388911} } @article{bourgain.mirek.ea:18:on, author = {Bourgain, Jean and Mirek, Mariusz and Stein, Elias M. and Wr\'{o}bel, B\l a\.{z}ej}, title = {On dimension-free variational inequalities for averaging operators in {$\Bbb R^d$}}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {28}, year = {2018}, number = {1}, pages = {58--99}, issn = {1016-443X,1420-8970}, mrclass = {42B25 (47J20 52A20)}, mrnumber = {3777413}, mrreviewer = {Dmitry\ Ryabogin}, doi = {10.1007/s00039-018-0433-3}, url = {https://doi.org/10.1007/s00039-018-0433-3} } @article{bourgain.mirek.ea:19:dimension-free, author = {Bourgain, Jean and Mirek, Mariusz and Stein, Elias M. and Wr\'{o}bel, B\l a\.{z}ej}, title = {Dimension-free estimates for discrete {H}ardy-{L}ittlewood averaging operators over the cubes in {$\Bbb Z^d$}}, journal = {Amer. J. Math.}, fjournal = {American Journal of Mathematics}, volume = {141}, year = {2019}, number = {4}, pages = {857--905}, issn = {0002-9327,1080-6377}, mrclass = {42B25}, mrnumber = {3992568}, mrreviewer = {Kenneth\ F.\ Andersen}, doi = {10.1353/ajm.2019.0023}, url = {https://doi.org/10.1353/ajm.2019.0023} } @incollection{bourgain.mirek.ea:20:on, author = {Bourgain, Jean and Mirek, Mariusz and Stein, Elias M. and Wr\'{o}bel, B\l a\.{z}ej}, title = {On discrete {H}ardy-{L}ittlewood maximal functions over the balls in {$\Bbb Z^d$}: dimension-free estimates}, booktitle = {Geometric aspects of functional analysis. {V}ol. {I}}, series = {Lecture Notes in Math.}, volume = {2256}, pages = {127--169}, publisher = {Springer, Cham}, year = {[2020] \copyright 2020}, isbn = {978-3-030-36020-7; 978-3-030-36019-1}, mrclass = {42B25}, mrnumber = {4175747}, mrreviewer = {Wilfredo\ O.\ Urbina}, doi = {10.1007/978-3-030-36020-7\_8}, url = {https://doi.org/10.1007/978-3-030-36020-7_8} } @incollection{bourgain.mirek.ea:21:on, author = {Bourgain, Jean and Mirek, Mariusz and Stein, Elias M. and Wr\'{o}bel, B\l a\.{z}ej}, title = {On the {H}ardy-{L}ittlewood maximal functions in high dimensions: continuous and discrete perspective}, booktitle = {Geometric aspects of harmonic analysis}, series = {Springer INdAM Ser.}, volume = {45}, pages = {107--148}, publisher = {Springer, Cham}, year = {[2021] \copyright 2021}, isbn = {978-3-030-72057-5; 978-3-030-72058-2}, mrclass = {42B25}, mrnumber = {4390223}, doi = {10.1007/978-3-030-72058-2\_3}, url = {https://doi.org/10.1007/978-3-030-72058-2_3} } @article{bourgain.nguyen:06:new, author = {Bourgain, Jean and Nguyen, Hoai-Minh}, title = {A new characterization of {S}obolev spaces}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {343}, year = {2006}, number = {2}, pages = {75--80}, issn = {1631-073X,1778-3569}, mrclass = {46E35}, mrnumber = {2242035}, mrreviewer = {Dorothee\ D.\ Haroske}, doi = {10.1016/j.crma.2006.05.021}, url = {https://doi.org/10.1016/j.crma.2006.05.021} } @incollection{bourgain.pajor.ea:89:on, author = {Bourgain, J. and Pajor, A. and Szarek, S. J. and Tomczak-Jaegermann, N.}, title = {On the duality problem for entropy numbers of operators}, booktitle = {Geometric aspects of functional analysis (1987--88)}, series = {Lecture Notes in Math.}, volume = {1376}, pages = {50--63}, publisher = {Springer, Berlin}, year = {1989}, isbn = {3-540-51303-5}, mrclass = {47B10 (46B10)}, mrnumber = {1008716}, mrreviewer = {Bernd\ Carl}, doi = {10.1007/BFb0090048}, url = {https://doi.org/10.1007/BFb0090048} } @article{bourgain.pavlovic:08:ill-posedness, author = {Bourgain, Jean and Pavlovi\'{c}, Nata\v{s}a}, title = {Ill-posedness of the {N}avier-{S}tokes equations in a critical space in 3{D}}, journal = {J. Funct. Anal.}, fjournal = {Journal of Functional Analysis}, volume = {255}, year = {2008}, number = {9}, pages = {2233--2247}, issn = {0022-1236,1096-0783}, mrclass = {35Q30 (35B35 76D05)}, mrnumber = {2473255}, mrreviewer = {Christopher\ C.\ Hallstrom}, doi = {10.1016/j.jfa.2008.07.008}, url = {https://doi.org/10.1016/j.jfa.2008.07.008} } @article{bourgain.pisier:83:construction, author = {Bourgain, Jean and Pisier, Gilles}, title = {A construction of {$\mathscr{L}_{infty}$}-spaces and related {B}anach spaces}, journal = {Bol. Soc. Brasil. Mat.}, fjournal = {Boletim da Sociedade Brasileira de Matem\'{a}tica}, volume = {14}, year = {1983}, number = {2}, pages = {109--123}, issn = {0100-3569}, mrclass = {46B20 (46B22)}, mrnumber = {756904}, mrreviewer = {S.\ V.\ Kislyakov}, doi = {10.1007/BF02584862}, url = {https://doi.org/10.1007/BF02584862} } @article{bourgain.reinov:85:on, author = {Bourgain, Jean and Reinov, Oleg}, title = {On the approximation properties for the space {$H^infty$}}, journal = {Math. Nachr.}, fjournal = {Mathematische Nachrichten}, volume = {122}, year = {1985}, pages = {19--27}, issn = {0025-584X,1522-2616}, mrclass = {46E15 (46J15)}, mrnumber = {871186}, mrreviewer = {P.\ Saphar}, doi = {10.1002/mana.19851220103}, url = {https://doi.org/10.1002/mana.19851220103} } @article{bourgain.rosenthal.ea:81:ordinal, author = {Bourgain, J. and Rosenthal, H. P. and Schechtman, G.}, title = {An ordinal {$L\sp{p}$}-index for {B}anach spaces, with application to complemented subspaces of {$L\sp{p}$}}, journal = {Ann. of Math. (2)}, fjournal = {Annals of Mathematics. Second Series}, volume = {114}, year = {1981}, number = {2}, pages = {193--228}, issn = {0003-486X}, mrclass = {46B25 (46E30)}, mrnumber = {632839}, mrreviewer = {Gilles\ Pisier}, doi = {10.2307/1971293}, url = {https://doi.org/10.2307/1971293} } @article{bourgain.rosenthal:80:geometrical, author = {Bourgain, J. and Rosenthal, H. P.}, title = {Geometrical implications of certain finite-dimensional decompositions}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {32}, year = {1980}, number = {1}, pages = {57--82}, issn = {0037-9476}, mrclass = {46B22}, mrnumber = {682992}, mrreviewer = {James\ Hagler} } @article{bourgain.rosenthal:80:martingales, author = {Bourgain, J. and Rosenthal, H. P.}, title = {Martingales valued in certain subspaces of {$L\sp{1}$}}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {37}, year = {1980}, number = {1-2}, pages = {54--75}, issn = {0021-2172}, mrclass = {46B22 (60G44)}, mrnumber = {599302}, mrreviewer = {Gilles\ Pisier}, doi = {10.1007/BF02762868}, url = {https://doi.org/10.1007/BF02762868} } @article{bourgain.rosenthal:83:applications, author = {Bourgain, J. and Rosenthal, H. P.}, title = {Applications of the theory of semi-embeddings to {B}anach space theory}, journal = {J. Funct. Anal.}, fjournal = {Journal of Functional Analysis}, volume = {52}, year = {1983}, number = {2}, pages = {149--188}, issn = {0022-1236}, mrclass = {46B20}, mrnumber = {707202}, mrreviewer = {Y.\ Benyamini}, doi = {10.1016/0022-1236(83)90080-0}, url = {https://doi.org/10.1016/0022-1236(83)90080-0} } @article{bourgain.rudnick.ea:17:spatial, author = {Bourgain, J. and Rudnick, Z. and Sarnak, P.}, title = {Spatial statistics for lattice points on the sphere {I}: {I}ndividual results}, journal = {Bull. Iranian Math. Soc.}, fjournal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, year = {2017}, number = {4}, pages = {361--386}, issn = {1017-060X,1735-8515}, mrclass = {11K36 (11E12 11E25)}, mrnumber = {3711836}, mrreviewer = {Su\ Hu} } @article{bourgain.rudnick:09:restriction, author = {Bourgain, Jean and Rudnick, Ze\'{e}v}, title = {Restriction of toral eigenfunctions to hypersurfaces}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {347}, year = {2009}, number = {21-22}, pages = {1249--1253}, issn = {1631-073X,1778-3569}, mrclass = {35R01 (35P15)}, mrnumber = {2561032}, doi = {10.1016/j.crma.2009.08.008}, url = {https://doi.org/10.1016/j.crma.2009.08.008} } @article{bourgain.rudnick:11:on, author = {Bourgain, Jean and Rudnick, Ze\'{e}v}, title = {On the nodal sets of toral eigenfunctions}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {185}, year = {2011}, number = {1}, pages = {199--237}, issn = {0020-9910,1432-1297}, mrclass = {58J51 (11P21)}, mrnumber = {2810800}, mrreviewer = {Igor\ Wigman}, doi = {10.1007/s00222-010-0307-2}, url = {https://doi.org/10.1007/s00222-010-0307-2} } @article{bourgain.rudnick:11:on*1, author = {Bourgain, Jean and Rudnick, Ze\'{e}v}, title = {On the geometry of the nodal lines of eigenfunctions of the two-dimensional torus}, journal = {Ann. Henri Poincar\'{e}}, fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and Mathematical Physics}, volume = {12}, year = {2011}, number = {6}, pages = {1027--1053}, issn = {1424-0637,1424-0661}, mrclass = {58J51 (37D20)}, mrnumber = {2823207}, mrreviewer = {Dieter\ H.\ Mayer}, doi = {10.1007/s00023-011-0098-z}, url = {https://doi.org/10.1007/s00023-011-0098-z} } @article{bourgain.rudnick:12:restriction, author = {Bourgain, Jean and Rudnick, Ze\'{e}v}, title = {Restriction of toral eigenfunctions to hypersurfaces and nodal sets}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {22}, year = {2012}, number = {4}, pages = {878--937}, issn = {1016-443X,1420-8970}, mrclass = {58J50 (11P21 35P15 35R01)}, mrnumber = {2984120}, mrreviewer = {Tanya\ J.\ Christiansen}, doi = {10.1007/s00039-012-0186-3}, url = {https://doi.org/10.1007/s00039-012-0186-3} } @article{bourgain.rudnick:15:nodal, author = {Bourgain, Jean and Rudnick, Ze\'{e}v}, title = {Nodal intersections and {$L^p$} restriction theorems on the torus}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {207}, year = {2015}, number = {1}, pages = {479--505}, issn = {0021-2172,1565-8511}, mrclass = {58J50 (11H06)}, mrnumber = {3358055}, mrreviewer = {Veronica\ Felli}, doi = {10.1007/s11856-015-1183-7}, url = {https://doi.org/10.1007/s11856-015-1183-7} } @incollection{bourgain.sarnak.ea:13:disjointness, author = {Bourgain, J. and Sarnak, P. and Ziegler, T.}, title = {Disjointness of {M}oebius from horocycle flows}, booktitle = {From {F}ourier analysis and number theory to {R}adon transforms and geometry}, series = {Dev. Math.}, volume = {28}, pages = {67--83}, publisher = {Springer, New York}, year = {2013}, isbn = {978-1-4614-4074-1; 978-1-4614-4075-8}, mrclass = {37D40 (11L20 11N37)}, mrnumber = {2986954}, mrreviewer = {Moubariz\ Z.\ Garaev}, doi = {10.1007/978-1-4614-4075-8\_5}, url = {https://doi.org/10.1007/978-1-4614-4075-8_5} } @incollection{bourgain.sarnak.ea:16:local, author = {Bourgain, Jean and Sarnak, Peter and Rudnick, Ze\'{e}v}, title = {Local statistics of lattice points on the sphere}, booktitle = {Modern trends in constructive function theory}, series = {Contemp. Math.}, volume = {661}, pages = {269--282}, publisher = {Amer. Math. Soc., Providence, RI}, year = {2016}, isbn = {978-1-4704-2534-0}, mrclass = {11K36 (11E12 11E25)}, mrnumber = {3489563}, mrreviewer = {Gediminas\ Stepanauskas}, doi = {10.1090/conm/661/13287}, url = {https://doi.org/10.1090/conm/661/13287} } @article{bourgain.sato:86:direct, author = {Bourgain, J. and Sato, H.}, title = {A direct proof of van der {V}aart's theorem}, journal = {Studia Math.}, fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica}, volume = {84}, year = {1986}, number = {2}, pages = {125--131}, issn = {0039-3223,1730-6337}, mrclass = {42B10 (60E10)}, mrnumber = {871852}, mrreviewer = {Colin\ C.\ Graham}, doi = {10.4064/sm-84-2-125-131}, url = {https://doi.org/10.4064/sm-84-2-125-131} } @article{bourgain.schlag:00:anderson, author = {Bourgain, Jean and Schlag, Wilhelm}, title = {Anderson localization for {S}chr\"{o}dinger operators on {$\bf Z$} with strongly mixing potentials}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {215}, year = {2000}, number = {1}, pages = {143--175}, issn = {0010-3616,1432-0916}, mrclass = {81Q10 (39A70 47B39 47N50 82B44)}, mrnumber = {1800921}, mrreviewer = {Jean-Michel\ Ghez}, doi = {10.1007/PL00005538}, url = {https://doi.org/10.1007/PL00005538} } @article{bourgain.shao.ea:15:on, author = {Bourgain, Jean and Shao, Peng and Sogge, Christopher D. and Yao, Xiaohua}, title = {On {$L^p$}-resolvent estimates and the density of eigenvalues for compact {R}iemannian manifolds}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {333}, year = {2015}, number = {3}, pages = {1483--1527}, issn = {0010-3616,1432-0916}, mrclass = {58J50 (47A10)}, mrnumber = {3302640}, mrreviewer = {G.\ V.\ Rozenblum}, doi = {10.1007/s00220-014-2077-y}, url = {https://doi.org/10.1007/s00220-014-2077-y} } @article{bourgain.shparlinski:08:distribution, author = {Bourgain, Jean and Shparlinski, Igor E.}, title = {Distribution of consecutive modular roots of an integer}, journal = {Acta Arith.}, fjournal = {Acta Arithmetica}, volume = {134}, year = {2008}, number = {1}, pages = {83--91}, issn = {0065-1036,1730-6264}, mrclass = {11L07 (11L20 11T23)}, mrnumber = {2429637}, mrreviewer = {Moubariz\ Z.\ Garaev}, doi = {10.4064/aa134-1-6}, url = {https://doi.org/10.4064/aa134-1-6} } @article{bourgain.szarek:88:banach-mazur, author = {Bourgain, J. and Szarek, S. J.}, title = {The {B}anach-{M}azur distance to the cube and the {D}voretzky-{R}ogers factorization}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {62}, year = {1988}, number = {2}, pages = {169--180}, issn = {0021-2172}, mrclass = {46B20 (52A20)}, mrnumber = {947820}, mrreviewer = {H.\ E.\ Lacey}, doi = {10.1007/BF02787120}, url = {https://doi.org/10.1007/BF02787120} } @article{bourgain.talagrand:80:compacite, author = {Bourgain, Jean and Talagrand, Michel}, title = {Compacit\'{e} extr\'{e}male}, journal = {Proc. Amer. Math. Soc.}, fjournal = {Proceedings of the American Mathematical Society}, volume = {80}, year = {1980}, number = {1}, pages = {68--70}, issn = {0002-9939,1088-6826}, mrclass = {46B10 (46A50)}, mrnumber = {574510}, mrreviewer = {M.\ M.\ Day}, doi = {10.2307/2042147}, url = {https://doi.org/10.2307/2042147} } @article{bourgain.talagrand:81:dans, author = {Bourgain, Jean and Talagrand, Michel}, title = {Dans un espace de {B}anach reticul\'{e} solide, la propri\'{e}t\'{e} de {R}adon-{N}ikod\'{y}m et celle de {K}reu{i}n-{M}il{\cprime}man sont \'{e}quivalentes}, journal = {Proc. Amer. Math. Soc.}, fjournal = {Proceedings of the American Mathematical Society}, volume = {81}, year = {1981}, number = {1}, pages = {93--96}, issn = {0002-9939,1088-6826}, mrclass = {46B22 (46B30)}, mrnumber = {589144}, mrreviewer = {P.\ D.\ Morris}, doi = {10.2307/2043994}, url = {https://doi.org/10.2307/2043994} } @incollection{bourgain.tzafriri:87:complements, author = {Bourgain, J. and Tzafriri, L.}, title = {Complements of subspaces of {$l^n_p$}, {$p\geq 1$}, which are uniquely determined}, booktitle = {Geometrical aspects of functional analysis (1985/86)}, series = {Lecture Notes in Math.}, volume = {1267}, pages = {39--52}, publisher = {Springer, Berlin}, year = {1987}, isbn = {3-540-18103-2}, mrclass = {46B20}, mrnumber = {907684}, mrreviewer = {M.\ I.\ Kadets}, doi = {10.1007/BFb0078135}, url = {https://doi.org/10.1007/BFb0078135} } @article{bourgain.tzafriri:87:invertibility, author = {Bourgain, J. and Tzafriri, L.}, title = {Invertibility of ``large'' submatrices with applications to the geometry of {B}anach spaces and harmonic analysis}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {57}, year = {1987}, number = {2}, pages = {137--224}, issn = {0021-2172}, mrclass = {46B20 (15A60 43A46 47A99 47B38)}, mrnumber = {890420}, mrreviewer = {T.\ Figiel}, doi = {10.1007/BF02772174}, url = {https://doi.org/10.1007/BF02772174} } @incollection{bourgain.tzafriri:89:restricted, author = {Bourgain, J. and Tzafriri, L.}, title = {Restricted invertibility of matrices and applications}, booktitle = {Analysis at {U}rbana, {V}ol. {II} ({U}rbana, {IL}, 1986--1987)}, series = {London Math. Soc. Lecture Note Ser.}, volume = {138}, pages = {61--107}, publisher = {Cambridge Univ. Press, Cambridge}, year = {1989}, isbn = {0-521-36437-X}, mrclass = {47B37 (15A09 46B20 46L30)}, mrnumber = {1009186}, mrreviewer = {T.\ Figiel} } @article{bourgain.tzafriri:90:embedding, author = {Bourgain, J. and Tzafriri, L.}, title = {Embedding {$l^k_p$} in subspaces of {$L\_p$} for {$p>2$}}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {72}, year = {1990}, number = {3}, pages = {321--340}, issn = {0021-2172}, mrclass = {46B20 (46B25 46E30)}, mrnumber = {1120225}, mrreviewer = {Stephen\ J.\ Dilworth}, doi = {10.1007/BF02773788}, url = {https://doi.org/10.1007/BF02773788} } @article{bourgain.tzafriri:91:on, author = {Bourgain, J. and Tzafriri, L.}, title = {On a problem of {K}adison and {S}inger}, journal = {J. Reine Angew. Math.}, fjournal = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's Journal]}, volume = {420}, year = {1991}, pages = {1--43}, issn = {0075-4102,1435-5345}, mrclass = {46L05 (46L30 47B35 47D25)}, mrnumber = {1124564}, mrreviewer = {H.\ Halpern}, doi = {10.1515/crll.1991.420.1}, url = {https://doi.org/10.1515/crll.1991.420.1} } @article{bourgain.varju:12:expansion, author = {Bourgain, Jean and Varj\'{u}, P\'{e}ter P.}, title = {Expansion in {$SL_d({\bf Z}/q{\bf Z}),\,q$} arbitrary}, journal = {Invent. Math.}, fjournal = {Inventiones Mathematicae}, volume = {188}, year = {2012}, number = {1}, pages = {151--173}, issn = {0020-9910,1432-1297}, mrclass = {11B05 (11B75)}, mrnumber = {2897695}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s00222-011-0345-4}, url = {https://doi.org/10.1007/s00222-011-0345-4} } @incollection{bourgain.voiculescu:16:essential, author = {Bourgain, Jean and Voiculescu, Dan-Virgil}, title = {The essential centre of the mod a diagonalization ideal commutant of an {$n$}-tuple of commuting {H}ermitian operators}, booktitle = {Noncommutative analysis, operator theory and applications}, series = {Oper. Theory Adv. Appl.}, volume = {252}, pages = {77--80}, publisher = {Birkh\"{a}user/Springer, [Cham]}, year = {2016}, isbn = {978-3-319-29114-7; 978-3-319-29116-1}, mrclass = {47A55 (47B47 47L20 47L30)}, mrnumber = {3526952}, mrreviewer = {Lawrence\ R.\ Williams}, doi = {10.1007/978-3-319-29116-1\_4}, url = {https://doi.org/10.1007/978-3-319-29116-1_4} } @article{bourgain.vu.ea:10:on, author = {Bourgain, Jean and Vu, Van H. and Wood, Philip Matchett}, title = {On the singularity probability of discrete random matrices}, journal = {J. Funct. Anal.}, fjournal = {Journal of Functional Analysis}, volume = {258}, year = {2010}, number = {2}, pages = {559--603}, issn = {0022-1236,1096-0783}, mrclass = {60B20}, mrnumber = {2557947}, mrreviewer = {Guangyu\ Yang}, doi = {10.1016/j.jfa.2009.04.016}, url = {https://doi.org/10.1016/j.jfa.2009.04.016} } @article{bourgain.wang:04:anderson, author = {Bourgain, Jean and Wang, Wei-Min}, title = {Anderson localization for time quasi-periodic random {S}chr\"{o}dinger and wave equations}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {248}, year = {2004}, number = {3}, pages = {429--466}, issn = {0010-3616,1432-0916}, mrclass = {82B44 (35B15 35R60 47B80 47N50)}, mrnumber = {2076917}, mrreviewer = {Fran\c{c}ois\ Germinet}, doi = {10.1007/s00220-004-1099-2}, url = {https://doi.org/10.1007/s00220-004-1099-2} } @incollection{bourgain.wang:07:diffusion, author = {Bourgain, J. and Wang, W.-M.}, title = {Diffusion bound for a nonlinear {S}chr\"{o}dinger equation}, booktitle = {Mathematical aspects of nonlinear dispersive equations}, series = {Ann. of Math. Stud.}, volume = {163}, pages = {21--42}, publisher = {Princeton Univ. Press, Princeton, NJ}, year = {2007}, isbn = {978-0-691-12955-6; 0-691-12955-X}, mrclass = {37L60 (35Q55 37K55 82C10 82C44)}, mrnumber = {2333206}, mrreviewer = {C.\ Eugene\ Wayne} } @article{bourgain.wang:08:quasi-periodic, author = {Bourgain, J. and Wang, W.-M.}, title = {Quasi-periodic solutions of nonlinear random {S}chr\"{o}dinger equations}, journal = {J. Eur. Math. Soc. (JEMS)}, fjournal = {Journal of the European Mathematical Society (JEMS)}, volume = {10}, year = {2008}, number = {1}, pages = {1--45}, issn = {1435-9855,1435-9863}, mrclass = {35R60 (35B15 35B25 60H15 82B44)}, mrnumber = {2349895}, mrreviewer = {Nikita\ Y.\ Ratanov}, doi = {10.4171/JEMS/102}, url = {https://doi.org/10.4171/JEMS/102} } @incollection{bourgain.wang:97:construction, author = {Bourgain, Jean and Wang, W.}, title = {Construction of blowup solutions for the nonlinear {S}chr\"{o}dinger equation with critical nonlinearity}, note = {Dedicated to Ennio De Giorgi}, journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)}, fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV}, volume = {25}, year = {1997}, number = {1-2}, pages = {197--215}, issn = {0391-173X,2036-2145}, mrclass = {35Q55 (35B99 35C99)}, mrnumber = {1655515}, mrreviewer = {Marcel\ Oliver}, url = {http://www.numdam.org/item?id=ASNSP_1997_4_25_1-2_197_0} } @article{bourgain.watt:18:decoupling, author = {Bourgain, Jean and Watt, Nigel}, title = {Decoupling for perturbed cones and the mean square of {$|\zeta (\frac 12+it)|$}}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2018}, number = {17}, pages = {5219--5296}, issn = {1073-7928,1687-0247}, mrclass = {11N37 (11A25 11M06)}, mrnumber = {3862121}, mrreviewer = {Olivier\ Bordell\`es}, doi = {10.1093/imrn/rnx009}, url = {https://doi.org/10.1093/imrn/rnx009} } @article{bourgain.wolff:90:remark, author = {Bourgain, J. and Wolff, T.}, title = {A remark on gradients of harmonic functions in dimension {$\geq 3$}}, journal = {Colloq. Math.}, fjournal = {Colloquium Mathematicum}, volume = {60/61}, year = {1990}, number = {1}, pages = {253--260}, issn = {0010-1354,1730-6302}, mrclass = {31B20 (35J67)}, mrnumber = {1096375}, mrreviewer = {V.\ M.\ Isakov}, doi = {10.4064/cm-60-61-1-253-260}, url = {https://doi.org/10.4064/cm-60-61-1-253-260} } @inproceedings{bourgain.yehudayoff:12:monotone, author = {Bourgain, Jean and Yehudayoff, Amir}, title = {Monotone expansion}, booktitle = {S{TOC}'12---{P}roceedings of the 2012 {ACM} {S}ymposium on {T}heory of {C}omputing}, pages = {1061--1078}, publisher = {ACM, New York}, year = {2012}, isbn = {978-1-4503-1245-5}, mrclass = {68R10 (05C40 68Q05)}, mrnumber = {2961565}, doi = {10.1145/2213977.2214073}, url = {https://doi.org/10.1145/2213977.2214073} } @article{bourgain.yehudayoff:13:expansion, author = {Bourgain, Jean and Yehudayoff, Amir}, title = {Expansion in {${\rm SL}_2(\Bbb{R})$} and monotone expanders}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {23}, year = {2013}, number = {1}, pages = {1--41}, issn = {1016-443X,1420-8970}, mrclass = {05C25 (20F65)}, mrnumber = {3037896}, mrreviewer = {Mikhail\ Ostrovskii}, doi = {10.1007/s00039-012-0200-9}, url = {https://doi.org/10.1007/s00039-012-0200-9} } @incollection{bourgain.zhang:99:on, author = {Bourgain, Jean and Zhang, Gaoyong}, title = {On a generalization of the {B}usemann-{P}etty problem}, booktitle = {Convex geometric analysis ({B}erkeley, {CA}, 1996)}, series = {Math. Sci. Res. Inst. Publ.}, volume = {34}, pages = {65--76}, publisher = {Cambridge Univ. Press, Cambridge}, year = {1999}, isbn = {0-521-64259-0}, mrclass = {52A40 (52A20 52A38)}, mrnumber = {1665578}, doi = {10.2977/prims/1195144828}, url = {https://doi.org/10.2977/prims/1195144828} } @incollection{bourgain:00:harmonic, author = {Bourgain, J.}, title = {Harmonic analysis and combinatorics: how much may they contribute to each other?}, booktitle = {Mathematics: frontiers and perspectives}, pages = {13--32}, publisher = {Amer. Math. Soc., Providence, RI}, year = {2000}, isbn = {0-8218-2070-2}, mrclass = {42B20 (05D10 28A78 30B50)}, mrnumber = {1754764}, doi = {10.1007/bf02791532}, url = {https://doi.org/10.1007/bf02791532} } @article{bourgain:00:holder, author = {Bourgain, J.}, title = {H\"{o}lder regularity of integrated density of states for the almost {M}athieu operator in a perturbative regime}, journal = {Lett. Math. Phys.}, fjournal = {Letters in Mathematical Physics}, volume = {51}, year = {2000}, number = {2}, pages = {83--118}, issn = {0377-9017,1573-0530}, mrclass = {47B39 (39A12 47N50 82B44)}, mrnumber = {1774640}, mrreviewer = {David\ Damanik}, doi = {10.1023/A:1007641323456}, url = {https://doi.org/10.1023/A:1007641323456} } @article{bourgain:00:invariant, author = {Bourgain, J.}, title = {Invariant measures for {NLS} in infinite volume}, journal = {Comm. Math. Phys.}, fjournal = {Communications in Mathematical Physics}, volume = {210}, year = {2000}, number = {3}, pages = {605--620}, issn = {0010-3616,1432-0916}, mrclass = {37K05 (35Q55 82C05)}, mrnumber = {1777342}, mrreviewer = {Kirill\ L.\ Vaninsky}, doi = {10.1007/s002200050792}, url = {https://doi.org/10.1007/s002200050792} } @article{bourgain:00:on, author = {Bourgain, Jean}, title = {On large values estimates for {D}irichlet polynomials and the density hypothesis for the {R}iemann zeta function}, journal = {Internat. Math. Res. Notices}, fjournal = {International Mathematics Research Notices}, year = {2000}, number = {3}, pages = {133--146}, issn = {1073-7928,1687-0247}, mrclass = {11M26}, mrnumber = {1741611}, mrreviewer = {D.\ R.\ Heath-Brown}, doi = {10.1155/S107379280000009X}, url = {https://doi.org/10.1155/S107379280000009X} } @article{bourgain:00:on*1, author = {Bourgain, J.}, title = {On diffusion in high-dimensional {H}amiltonian systems and {PDE}}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {80}, year = {2000}, pages = {1--35}, issn = {0021-7670,1565-8538}, mrclass = {35K55 (35B45 35B65 35Q55)}, mrnumber = {1771522}, mrreviewer = {Dario\ Bambusi}, doi = {10.1007/BF02791532}, url = {https://doi.org/10.1007/BF02791532} } @incollection{bourgain:00:positive, author = {Bourgain, J.}, title = {Positive {L}yapounov exponents for most energies}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {1745}, pages = {37--66}, publisher = {Springer, Berlin}, year = {2000}, isbn = {3-540-41070-8}, mrclass = {81Q10 (39A70 47B39 47N50)}, mrnumber = {1796712}, mrreviewer = {Jean-Michel\ Ghez}, doi = {10.1007/BFb0107207}, url = {https://doi.org/10.1007/BFb0107207} } @incollection{bourgain:00:problems, author = {Bourgain, J.}, title = {Problems in {H}amiltonian {PDE}'s}, note = {GAFA 2000 (Tel Aviv, 1999)}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, year = {2000}, pages = {32--56}, issn = {1016-443X,1420-8970}, mrclass = {35F20 (35B30 35B40 35Q55)}, mrnumber = {1826248}, mrreviewer = {Paola\ Loreti}, doi = {10.1007/978-3-0346-0422-2\_2}, url = {https://doi.org/10.1007/978-3-0346-0422-2_2} } @incollection{bourgain:01:p-sets, author = {Bourgain, Jean}, title = {{$\Lambda_p$}-sets in analysis: results, problems and related aspects}, booktitle = {Handbook of the geometry of {B}anach spaces, {V}ol. {I}}, pages = {195--232}, publisher = {North-Holland, Amsterdam}, year = {2001}, isbn = {0-444-82842-7}, mrclass = {43A46 (11K99 42B25 46N99)}, mrnumber = {1863693}, mrreviewer = {Kathryn\ Hare}, doi = {10.1016/S1874-5849(01)80007-3}, url = {https://doi.org/10.1016/S1874-5849(01)80007-3} } @article{bourgain:02:estimates, author = {Bourgain, J.}, title = {Estimates on {G}reen's functions, localization and the quantum kicked rotor model}, journal = {Ann. of Math. (2)}, fjournal = {Annals of Mathematics. Second Series}, volume = {156}, year = {2002}, number = {1}, pages = {249--294}, issn = {0003-486X,1939-8980}, mrclass = {82C10 (35A08 35Q40 81Q10)}, mrnumber = {1935847}, mrreviewer = {David\ Damanik}, doi = {10.2307/3597190}, url = {https://doi.org/10.2307/3597190} } @article{bourgain:02:exposants, author = {Bourgain, Jean}, title = {Exposants de {L}yapounov pour op\'{e}rateurs de {S}chr\"{o}dinger discr\`etes quasi-p\'{e}riodiques}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {335}, year = {2002}, number = {6}, pages = {529--531}, issn = {1631-073X,1778-3569}, mrclass = {39A70 (37N20 47B39 47N50 81Q99)}, mrnumber = {1936825}, doi = {10.1016/S1631-073X(02)02525-6}, url = {https://doi.org/10.1016/S1631-073X(02)02525-6} } @incollection{bourgain:02:new, author = {Bourgain, Jean}, title = {New results on the spectrum of lattice {S}chr\"{o}dinger operators and applications}, booktitle = {Mathematical results in quantum mechanics ({T}axco, 2001)}, series = {Contemp. Math.}, volume = {307}, pages = {27--38}, publisher = {Amer. Math. Soc., Providence, RI}, year = {2002}, isbn = {0-8218-2900-9}, mrclass = {81Q10 (35P05 39A70 47B39 47N50 81-02 82B44)}, mrnumber = {1946014}, mrreviewer = {Fran\c{c}ois\ Germinet}, doi = {10.1090/conm/307/05265}, url = {https://doi.org/10.1090/conm/307/05265} } @article{bourgain:02:on, author = {Bourgain, Jean}, title = {On random {S}chr\"{o}dinger operators on {$\Bbb Z^2$}}, journal = {Discrete Contin. Dyn. Syst.}, fjournal = {Discrete and Continuous Dynamical Systems. Series A}, volume = {8}, year = {2002}, number = {1}, pages = {1--15}, issn = {1078-0947,1553-5231}, mrclass = {47B80 (35J10 35R60 47A10 47B39 47N55 82B44)}, mrnumber = {1877824}, mrreviewer = {Vadim\ V.\ Kostrykin}, doi = {10.3934/dcds.2002.8.1}, url = {https://doi.org/10.3934/dcds.2002.8.1} } @incollection{bourgain:02:on*1, author = {Bourgain, J.}, title = {On the spectrum of lattice {S}chr\"{o}dinger operators with deterministic potential. {II}}, note = {Dedicated to the memory of Tom Wolff}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {88}, year = {2002}, pages = {221--254}, issn = {0021-7670,1565-8538}, mrclass = {47B39 (47A10 47N55 81Q10 82B44)}, mrnumber = {1984594}, mrreviewer = {David\ Damanik}, doi = {10.1007/BF02786578}, url = {https://doi.org/10.1007/BF02786578} } @article{bourgain:02:on*2, author = {Bourgain, Jean}, title = {On the global {C}auchy problem for the nonlinear {S}chr\"{o}dinger equation}, journal = {Proc. Natl. Acad. Sci. USA}, fjournal = {Proceedings of the National Academy of Sciences of the United States of America}, volume = {99}, year = {2002}, number = {24}, pages = {15262--15268}, issn = {0027-8424,1091-6490}, mrclass = {35Q55 (35G25)}, mrnumber = {1946761}, mrreviewer = {Victor\ V.\ Zharinov}, doi = {10.1073/pnas.222494399}, url = {https://doi.org/10.1073/pnas.222494399} } @incollection{bourgain:02:on*3, author = {Bourgain, J.}, title = {On the spectrum of lattice {S}chr\"{o}dinger operators with deterministic potential}, note = {Dedicated to the memory of Thomas H. Wolff}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {87}, year = {2002}, pages = {37--75}, issn = {0021-7670,1565-8538}, mrclass = {47B39 (35P20 47A10 47N50 81Q10)}, mrnumber = {1945277}, mrreviewer = {David\ Damanik}, doi = {10.1007/BF02868469}, url = {https://doi.org/10.1007/BF02868469} } @article{bourgain:02:on*4, author = {Bourgain, J.}, title = {On the distributions of the {F}ourier spectrum of {B}oolean functions}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {131}, year = {2002}, pages = {269--276}, issn = {0021-2172,1565-8511}, mrclass = {43A75 (42A38)}, mrnumber = {1942312}, mrreviewer = {Colin\ C.\ Graham}, doi = {10.1007/BF02785861}, url = {https://doi.org/10.1007/BF02785861} } @incollection{bourgain:02:on*5, author = {Bourgain, J.}, title = {On the distribution of {D}irichlet sums. {II}}, booktitle = {Number theory for the millennium, {I} ({U}rbana, {IL}, 2000)}, pages = {87--109}, publisher = {A K Peters, Natick, MA}, year = {2002}, isbn = {1-56881-126-8}, mrclass = {11M26}, mrnumber = {1956220}, mrreviewer = {Jerzy\ Kaczorowski} } @incollection{bourgain:03:on, author = {Bourgain, J.}, title = {On long-time behaviour of solutions of linear {S}chr\"{o}dinger equations with smooth time-dependent potential}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {1807}, pages = {99--113}, publisher = {Springer, Berlin}, year = {2003}, isbn = {3-540-00485-8}, mrclass = {35Q40 (35B40)}, mrnumber = {2083390}, mrreviewer = {Woodford\ W.\ Zachary}, doi = {10.1007/978-3-540-36428-3\_8}, url = {https://doi.org/10.1007/978-3-540-36428-3_8} } @article{bourgain:03:on*1, author = {Bourgain, J.}, title = {On the {E}rd\H{o}s-{V}olkmann and {K}atz-{T}ao ring conjectures}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {13}, year = {2003}, number = {2}, pages = {334--365}, issn = {1016-443X,1420-8970}, mrclass = {11K55 (28A80)}, mrnumber = {1982147}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s000390300008}, url = {https://doi.org/10.1007/s000390300008} } @incollection{bourgain:03:on*2, author = {Bourgain, J.}, title = {On the isotropy-constant problem for ``{PSI}-2''-bodies}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {1807}, pages = {114--121}, publisher = {Springer, Berlin}, year = {2003}, isbn = {3-540-00485-8}, mrclass = {46B07 (46B20 52A20 60G15)}, mrnumber = {2083391}, mrreviewer = {Apostolos\ A.\ Giannopoulos}, doi = {10.1007/978-3-540-36428-3\_9}, url = {https://doi.org/10.1007/978-3-540-36428-3_9} } @incollection{bourgain:03:random, author = {Bourgain, J.}, title = {Random lattice {S}chr\"{o}dinger operators with decaying potential: some higher dimensional phenomena}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {1807}, pages = {70--98}, publisher = {Springer, Berlin}, year = {2003}, isbn = {3-540-00485-8}, mrclass = {47B80 (39A70 47B39 47N50 81Q10 82B44)}, mrnumber = {2083389}, mrreviewer = {Fran\c{c}ois\ Germinet}, doi = {10.1007/978-3-540-36428-3\_7}, url = {https://doi.org/10.1007/978-3-540-36428-3_7} } @article{bourgain:04:mordell, author = {Bourgain, Jean}, title = {Mordell type exponential sum estimates in fields of prime order}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {339}, year = {2004}, number = {5}, pages = {321--325}, issn = {1631-073X,1778-3569}, mrclass = {11L07 (11L05)}, mrnumber = {2092056}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1016/j.crma.2004.06.013}, url = {https://doi.org/10.1016/j.crma.2004.06.013} } @article{bourgain:04:new, author = {Bourgain, Jean}, title = {New bounds on exponential sums related to the {D}iffie-{H}ellman distributions}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {338}, year = {2004}, number = {11}, pages = {825--830}, issn = {1631-073X,1778-3569}, mrclass = {11L07 (94A60)}, mrnumber = {2059656}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1016/j.crma.2004.03.027}, url = {https://doi.org/10.1016/j.crma.2004.03.027} } @incollection{bourgain:04:on, author = {Bourgain, J.}, title = {On localization for lattice {S}chr\"{o}dinger operators involving {B}ernoulli variables}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {1850}, pages = {77--99}, publisher = {Springer, Berlin}, year = {2004}, isbn = {3-540-22360-6}, mrclass = {82B44 (47B39 47B80 47N55)}, mrnumber = {2087153}, mrreviewer = {David\ Damanik}, doi = {10.1007/978-3-540-44489-3\_9}, url = {https://doi.org/10.1007/978-3-540-44489-3_9} } @incollection{bourgain:04:on*1, author = {Bourgain, Jean}, title = {On quasi-periodic lattice {S}chr\"{o}dinger operators}, note = {Partial differential equations and applications}, journal = {Discrete Contin. Dyn. Syst.}, fjournal = {Discrete and Continuous Dynamical Systems. Series A}, volume = {10}, year = {2004}, number = {1-2}, pages = {75--88}, issn = {1078-0947,1553-5231}, mrclass = {47B80 (35P20 35Q40 37J40 37K55 81Q10)}, mrnumber = {2026184}, doi = {10.3934/dcds.2004.10.75}, url = {https://doi.org/10.3934/dcds.2004.10.75} } @article{bourgain:04:remark, author = {Bourgain, Jean}, title = {A remark on normal forms and the ``{$I$}-method'' for periodic {NLS}}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {94}, year = {2004}, pages = {125--157}, issn = {0021-7670,1565-8538}, mrclass = {37K55 (35L60 35Q55)}, mrnumber = {2124457}, mrreviewer = {Dario\ Bambusi}, doi = {10.1007/BF02789044}, url = {https://doi.org/10.1007/BF02789044} } @article{bourgain:04:remarks, author = {Bourgain, Jean}, title = {Remarks on stability and diffusion in high-dimensional {H}amiltonian systems and partial differential equations}, journal = {Ergodic Theory Dynam. Systems}, fjournal = {Ergodic Theory and Dynamical Systems}, volume = {24}, year = {2004}, number = {5}, pages = {1331--1357}, issn = {0143-3857,1469-4417}, mrclass = {37K55 (35B35 35Q55 37K60)}, mrnumber = {2104588}, mrreviewer = {C.\ Eugene\ Wayne}, doi = {10.1017/S0143385703000750}, url = {https://doi.org/10.1017/S0143385703000750} } @article{bourgain:05:anderson-bernoulli, author = {Bourgain, J.}, title = {Anderson-{B}ernoulli models}, journal = {Mosc. Math. J.}, fjournal = {Moscow Mathematical Journal}, volume = {5}, year = {2005}, number = {3}, pages = {523--536, 742}, issn = {1609-3321,1609-4514}, mrclass = {82B44 (60H25 81Q10 82-02 82B10)}, mrnumber = {2241811}, mrreviewer = {David\ Damanik}, doi = {10.17323/1609-4514-2005-5-3-523-536}, url = {https://doi.org/10.17323/1609-4514-2005-5-3-523-536} } @article{bourgain:05:estimates, author = {Bourgain, J.}, title = {Estimates on exponential sums related to the {D}iffie-{H}ellman distributions}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {15}, year = {2005}, number = {1}, pages = {1--34}, issn = {1016-443X,1420-8970}, mrclass = {11L07}, mrnumber = {2140627}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s00039-005-0500-4}, url = {https://doi.org/10.1007/s00039-005-0500-4} } @article{bourgain:05:estimation, author = {Bourgain, Jean}, title = {Estimation of certain exponential sums arising in complexity theory}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {340}, year = {2005}, number = {9}, pages = {627--631}, issn = {1631-073X,1778-3569}, mrclass = {11L07 (68Q15 94C10)}, mrnumber = {2139268}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1016/j.crma.2005.03.008}, url = {https://doi.org/10.1016/j.crma.2005.03.008} } @article{bourgain:05:exponential, author = {Bourgain, J.}, title = {Exponential sum estimates over subgroups of {${\Bbb Z}^*_q$}, {$q$} arbitrary}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {97}, year = {2005}, pages = {317--355}, issn = {0021-7670,1565-8538}, mrclass = {11L07}, mrnumber = {2274981}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/BF02807410}, url = {https://doi.org/10.1007/BF02807410} } @book{bourgain:05:greens, author = {Bourgain, J.}, title = {Green's function estimates for lattice {S}chr\"{o}dinger operators and applications}, series = {Annals of Mathematics Studies}, volume = {158}, publisher = {Princeton University Press, Princeton, NJ}, year = {2005}, pages = {x+173}, isbn = {0-691-12098-6}, mrclass = {35Q40 (35A08 35Q55 37N20 47B80 47N50 81Q10 82B44)}, mrnumber = {2100420}, mrreviewer = {David\ Damanik}, doi = {10.1515/9781400837144}, url = {https://doi.org/10.1515/9781400837144} } @article{bourgain:05:mordells, author = {Bourgain, J.}, title = {Mordell's exponential sum estimate revisited}, journal = {J. Amer. Math. Soc.}, fjournal = {Journal of the American Mathematical Society}, volume = {18}, year = {2005}, number = {2}, pages = {477--499}, issn = {0894-0347,1088-6834}, mrclass = {11L07 (11L05)}, mrnumber = {2137982}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1090/S0894-0347-05-00476-5}, url = {https://doi.org/10.1090/S0894-0347-05-00476-5} } @article{bourgain:05:more, author = {Bourgain, J.}, title = {More on the sum-product phenomenon in prime fields and its applications}, journal = {Int. J. Number Theory}, fjournal = {International Journal of Number Theory}, volume = {1}, year = {2005}, number = {1}, pages = {1--32}, issn = {1793-0421,1793-7310}, mrclass = {11B75 (11L05)}, mrnumber = {2172328}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1142/S1793042105000108}, url = {https://doi.org/10.1142/S1793042105000108} } @incollection{bourgain:05:new, author = {Bourgain, J.}, title = {New encounters in combinatorial number theory: from the {K}akeya problem to cryptography}, booktitle = {Perspectives in analysis}, series = {Math. Phys. Stud.}, volume = {27}, pages = {17--26}, publisher = {Springer, Berlin}, year = {2005}, isbn = {978-3-540-30432-6; 3-540-30432-0}, mrclass = {11B75 (28A75 28A80 94A60)}, mrnumber = {2206765}, mrreviewer = {Samuel\ S.\ Wagstaff, Jr.}, doi = {10.1007/3-540-30434-7\_2}, url = {https://doi.org/10.1007/3-540-30434-7_2} } @article{bourgain:05:on, author = {Bourgain, J.}, title = {On invariant tori of full dimension for 1{D} periodic {NLS}}, journal = {J. Funct. Anal.}, fjournal = {Journal of Functional Analysis}, volume = {229}, year = {2005}, number = {1}, pages = {62--94}, issn = {0022-1236,1096-0783}, mrclass = {37K55 (35B15 35B20 35Q55 37L25)}, mrnumber = {2180074}, mrreviewer = {Dario\ Bambusi}, doi = {10.1016/j.jfa.2004.10.019}, url = {https://doi.org/10.1016/j.jfa.2004.10.019} } @article{bourgain:05:positivity, author = {Bourgain, J.}, title = {Positivity and continuity of the {L}yapounov exponent for shifts on {$\Bbb T^d$} with arbitrary frequency vector and real analytic potential}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {96}, year = {2005}, pages = {313--355}, issn = {0021-7670,1565-8538}, mrclass = {47B39 (47A10 47B80 47N55 81Q10 82B41)}, mrnumber = {2177191}, mrreviewer = {David\ Damanik}, doi = {10.1007/BF02787834}, url = {https://doi.org/10.1007/BF02787834} } @article{bourgain:06:nonlinear, author = {Bourgain, Jean}, title = {Nonlinear {S}chr\"{o}dinger equation with a random potential}, journal = {Illinois J. Math.}, fjournal = {Illinois Journal of Mathematics}, volume = {50}, year = {2006}, number = {1-4}, pages = {183--188}, issn = {0019-2082,1945-6581}, isbn = {0-9746986-1-X}, mrclass = {35Q53 (35-02 35B15 35R60 37L55 37L60 47B80 82B44)}, mrnumber = {2247828}, mrreviewer = {Yu.\ E.\ Gliklikh}, url = {http://projecteuclid.org/euclid.ijm/1258059474} } @article{bourgain:06:on, author = {Bourgain, Jean}, title = {On an exponential sum related to the {D}iffie-{H}ellman cryptosystem}, journal = {Int. Math. Res. Not.}, fjournal = {International Mathematics Research Notices}, year = {2006}, pages = {Art. ID 61271, 15}, issn = {1073-7928,1687-0247}, mrclass = {11T23 (11T71 94A60)}, mrnumber = {2276345}, mrreviewer = {Xiang-dong\ Hou}, doi = {10.1155/IMRN/2006/61271}, url = {https://doi.org/10.1155/IMRN/2006/61271} } @article{bourgain:07:anderson, author = {Bourgain, Jean}, title = {Anderson localization for quasi-periodic lattice {S}chr\"{o}dinger operators on {$\Bbb Z^d$}, {$d$} arbitrary}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {17}, year = {2007}, number = {3}, pages = {682--706}, issn = {1016-443X,1420-8970}, mrclass = {81Q10 (47B39 47B80 47N50 82B44)}, mrnumber = {2346272}, mrreviewer = {David\ Damanik}, doi = {10.1007/s00039-007-0610-2}, url = {https://doi.org/10.1007/s00039-007-0610-2} } @article{bourgain:07:exponential, author = {Bourgain, J.}, title = {Exponential sum estimates in finite commutative rings and applications}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {101}, year = {2007}, pages = {325--355}, issn = {0021-7670,1565-8538}, mrclass = {11L07 (11B75)}, mrnumber = {2346549}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1007/s11854-007-0012-2}, url = {https://doi.org/10.1007/s11854-007-0012-2} } @incollection{bourgain:07:new, author = {Bourgain, Jean}, title = {A new approach to spectral graph problems}, booktitle = {Spectral theory and mathematical physics: a {F}estschrift in honor of {B}arry {S}imon's 60th birthday}, series = {Proc. Sympos. Pure Math.}, volume = {76, Part 2}, pages = {499--504}, publisher = {Amer. Math. Soc., Providence, RI}, year = {2007}, isbn = {978-0-8218-4249-2}, mrclass = {43A75 (11T30 22E30 54H15 81Q10)}, mrnumber = {2307745}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1090/pspum/076.2/2307745}, url = {https://doi.org/10.1090/pspum/076.2/2307745} } @incollection{bourgain:07:normal, author = {Bourgain, J.}, title = {Normal forms and the nonlinear {S}chr\"{o}dinger equation}, booktitle = {Perspectives in nonlinear partial differential equations}, series = {Contemp. Math.}, volume = {446}, pages = {153--157}, publisher = {Amer. Math. Soc., Providence, RI}, year = {2007}, isbn = {978-0-8218-4190-7}, mrclass = {35Q55 (35B15)}, mrnumber = {2373728}, mrreviewer = {Peter\ E.\ Zhidkov}, doi = {10.1090/conm/446/08629}, url = {https://doi.org/10.1090/conm/446/08629} } @incollection{bourgain:07:on, author = {Bourgain, J.}, title = {On {S}trichartz's inequalities and the nonlinear {S}chr\"{o}dinger equation on irrational tori}, booktitle = {Mathematical aspects of nonlinear dispersive equations}, series = {Ann. of Math. Stud.}, volume = {163}, pages = {1--20}, publisher = {Princeton Univ. Press, Princeton, NJ}, year = {2007}, isbn = {978-0-691-12955-6; 0-691-12955-X}, mrclass = {35Q55 (35B30 35B45 37K55)}, mrnumber = {2331676}, mrreviewer = {Pascal\ B\'{e}gout} } @article{bourgain:07:on*1, author = {Bourgain, Jean}, title = {On the construction of affine extractors}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {17}, year = {2007}, number = {1}, pages = {33--57}, issn = {1016-443X,1420-8970}, mrclass = {68R10 (11L07 60C05 68W20)}, mrnumber = {2306652}, mrreviewer = {Alessandro\ Conflitti}, doi = {10.1007/s00039-007-0593-z}, url = {https://doi.org/10.1007/s00039-007-0593-z} } @incollection{bourgain:07:remark, author = {Bourgain, J.}, title = {A remark on quantum ergodicity for {CAT} maps}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {1910}, pages = {89--98}, publisher = {Springer, Berlin}, year = {2007}, isbn = {978-3-540-72052-2; 3-540-72052-9}, mrclass = {58J90 (11L07 81Q50)}, mrnumber = {2347042}, mrreviewer = {Dieter\ H.\ Mayer}, doi = {10.1007/978-3-540-72053-9\_5}, url = {https://doi.org/10.1007/978-3-540-72053-9_5} } @incollection{bourgain:07:some, author = {Bourgain, J.}, title = {Some arithmetical applications of the sum-product theorems in finite fields}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {1910}, pages = {99--116}, publisher = {Springer, Berlin}, year = {2007}, isbn = {978-3-540-72052-2; 3-540-72052-9}, mrclass = {11L05 (11B75 11L07 11P05)}, mrnumber = {2347043}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1007/978-3-540-72053-9\_6}, url = {https://doi.org/10.1007/978-3-540-72053-9_6} } @article{bourgain:07:sum-product, author = {Bourgain, Jean}, title = {Sum-product theorems and exponential sum bounds in residue classes for general modulus}, 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 = {349--352}, issn = {1631-073X,1778-3569}, mrclass = {11B75 (11L07)}, mrnumber = {2310668}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1016/j.crma.2007.01.019}, url = {https://doi.org/10.1016/j.crma.2007.01.019} } @incollection{bourgain:08:on, author = {Bourgain, Jean}, title = {On the absence of dynamical localization in higher dimensional random {S}chr\"{o}dinger operators}, booktitle = {Perspectives in partial differential equations, harmonic analysis and applications}, series = {Proc. Sympos. Pure Math.}, volume = {79}, pages = {21--32}, publisher = {Amer. Math. Soc., Providence, RI}, year = {2008}, isbn = {978-0-8218-4424-3}, mrclass = {82B44 (35J10 35P20 35R60 47B80 47N50 60H25)}, mrnumber = {2500487}, doi = {10.1090/pspum/079/2500487}, url = {https://doi.org/10.1090/pspum/079/2500487} } @article{bourgain:08:roths, author = {Bourgain, Jean}, title = {Roth's theorem on progressions revisited}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {104}, year = {2008}, pages = {155--192}, issn = {0021-7670,1565-8538}, mrclass = {11B25 (11N64 11P55)}, mrnumber = {2403433}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1007/s11854-008-0020-x}, url = {https://doi.org/10.1007/s11854-008-0020-x} } @article{bourgain:08:sum-product, author = {Bourgain, Jean}, title = {The sum-product theorem in {$\Bbb Z_q$} with {$q$} arbitrary}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {106}, year = {2008}, pages = {1--93}, issn = {0021-7670,1565-8538}, mrclass = {11B13 (11B75)}, mrnumber = {2448982}, mrreviewer = {Tom\ Sanders}, doi = {10.1007/s11854-008-0044-2}, url = {https://doi.org/10.1007/s11854-008-0044-2} } @article{bourgain:09:approach, author = {Bourgain, Jean}, title = {An approach to {W}egner's estimate using subharmonicity}, journal = {J. Stat. Phys.}, fjournal = {Journal of Statistical Physics}, volume = {134}, year = {2009}, number = {5-6}, pages = {969--978}, issn = {0022-4715,1572-9613}, mrclass = {82B44 (47B80)}, mrnumber = {2518977}, mrreviewer = {David\ Damanik}, doi = {10.1007/s10955-009-9729-x}, url = {https://doi.org/10.1007/s10955-009-9729-x} } @article{bourgain:09:expanders, author = {Bourgain, Jean}, title = {Expanders and dimensional expansion}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {347}, year = {2009}, number = {7-8}, pages = {357--362}, issn = {1631-073X,1778-3569}, mrclass = {11B30 (05E99 68Q25)}, mrnumber = {2537230}, mrreviewer = {Ben\ Joseph\ Green}, doi = {10.1016/j.crma.2009.02.009}, url = {https://doi.org/10.1016/j.crma.2009.02.009} } @incollection{bourgain:09:geodesic, author = {Bourgain, J.}, title = {Geodesic restrictions and {$L^p$}-estimates for eigenfunctions of {R}iemannian surfaces}, booktitle = {Linear and complex analysis}, series = {Amer. Math. Soc. Transl. Ser. 2}, volume = {226}, pages = {27--35}, publisher = {Amer. Math. Soc., Providence, RI}, year = {2009}, isbn = {978-0-8218-4801-2; 0-8218-4801-1}, mrclass = {58J50 (58J37)}, mrnumber = {2500507}, mrreviewer = {Julie\ Rowlett}, doi = {10.1090/trans2/226/03}, url = {https://doi.org/10.1090/trans2/226/03} } @article{bourgain:09:multilinear, author = {Bourgain, Jean}, title = {Multilinear exponential sums in prime fields under optimal entropy condition on the sources}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {18}, year = {2009}, number = {5}, pages = {1477--1502}, issn = {1016-443X,1420-8970}, mrclass = {11L07 (11B30 11L05 11T23)}, mrnumber = {2481734}, mrreviewer = {Antonio\ Rojas Le\'{o}n}, doi = {10.1007/s00039-008-0691-6}, url = {https://doi.org/10.1007/s00039-008-0691-6} } @article{bourgain:09:on, author = {Bourgain, J.}, title = {On the distribution of the residues of small multiplicative subgroups of {$\Bbb F_p$}}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {172}, year = {2009}, pages = {61--74}, issn = {0021-2172,1565-8511}, mrclass = {11B30 (11B05 11B50)}, mrnumber = {2534239}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1007/s11856-009-0063-4}, url = {https://doi.org/10.1007/s11856-009-0063-4} } @incollection{bourgain:09:sum-product, author = {Bourgain, J.}, title = {The sum-product phenomenon and some of its applications}, booktitle = {Analytic number theory}, pages = {62--74}, publisher = {Cambridge Univ. Press, Cambridge}, year = {2009}, isbn = {978-0-521-51538-2}, mrclass = {11B75 (11L07)}, mrnumber = {2508637}, mrreviewer = {Tom\ Sanders} } @article{bourgain:10:discretized, author = {Bourgain, Jean}, title = {The discretized sum-product and projection theorems}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {112}, year = {2010}, pages = {193--236}, issn = {0021-7670,1565-8538}, mrclass = {11B30}, mrnumber = {2763000}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1007/s11854-010-0028-x}, url = {https://doi.org/10.1007/s11854-010-0028-x} } @article{bourgain:10:estimates, author = {Bourgain, J.}, title = {Estimates on polynomial exponential sums}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {176}, year = {2010}, pages = {221--240}, issn = {0021-2172,1565-8511}, mrclass = {11L07}, mrnumber = {2653193}, mrreviewer = {Nicolas\ P.\ Templier}, doi = {10.1007/s11856-010-0027-8}, url = {https://doi.org/10.1007/s11856-010-0027-8} } @incollection{bourgain:10:new, author = {Bourgain, Jean}, title = {New developments in combinatorial number theory and applications}, booktitle = {European {C}ongress of {M}athematics}, pages = {233--251}, publisher = {Eur. Math. Soc., Z\"{u}rich}, year = {2010}, isbn = {978-3-03719-077-7}, mrclass = {11B30 (11L07)}, mrnumber = {2648328}, doi = {10.4171/077-1/11}, url = {https://doi.org/10.4171/077-1/11} } @incollection{bourgain:10:on, author = {Bourgain, Jean}, title = {On exponential sums in finite fields}, booktitle = {An irregular mind}, series = {Bolyai Soc. Math. Stud.}, volume = {21}, pages = {219--242}, publisher = {J\'{a}nos Bolyai Math. Soc., Budapest}, year = {2010}, isbn = {978-963-9453-14-2; 978-3-642-14443-1}, mrclass = {11T23 (11L07)}, mrnumber = {2815603}, mrreviewer = {Antonio\ Rojas Le\'{o}n}, doi = {10.1007/978-3-642-14444-8\_4}, url = {https://doi.org/10.1007/978-3-642-14444-8_4} } @incollection{bourgain:10:sum-product, author = {Bourgain, Jean}, title = {Sum-product theorems and applications}, booktitle = {Additive number theory}, pages = {9--38}, publisher = {Springer, New York}, year = {2010}, isbn = {978-0-387-37029-3}, mrclass = {11L07 (11B30 11L05 11T23)}, mrnumber = {2744741}, mrreviewer = {Sergeu{i}\ V.\ Konyagin}, doi = {10.1007/978-0-387-68361-4\_2}, url = {https://doi.org/10.1007/978-0-387-68361-4_2} } @incollection{bourgain:12:finitely, author = {Bourgain, Jean}, title = {Finitely supported measures on {$SL_2(\Bbb R)$} which are absolutely continuous at infinity}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {2050}, pages = {133--141}, publisher = {Springer, Heidelberg}, year = {2012}, isbn = {978-3-642-29848-6; 978-3-642-29849-3}, mrclass = {60B15}, mrnumber = {2985129}, mrreviewer = {Christophe\ Cuny}, doi = {10.1007/978-3-642-29849-3\_7}, url = {https://doi.org/10.1007/978-3-642-29849-3_7} } @article{bourgain:12:integral, author = {Bourgain, J.}, title = {Integral {A}pollonian circle packings and prime curvatures}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {118}, year = {2012}, number = {1}, pages = {221--249}, issn = {0021-7670,1565-8538}, mrclass = {52C26}, mrnumber = {2993027}, mrreviewer = {Egon\ Schulte}, doi = {10.1007/s11854-012-0034-2}, url = {https://doi.org/10.1007/s11854-012-0034-2} } @article{bourgain:12:modular, author = {Bourgain, Jean}, title = {A modular {S}zemer\'{e}di-{T}rotter theorem for hyperbolas}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {350}, year = {2012}, number = {17-18}, pages = {793--796}, issn = {1631-073X,1778-3569}, mrclass = {11B30}, mrnumber = {2989378}, doi = {10.1016/j.crma.2012.09.011}, url = {https://doi.org/10.1016/j.crma.2012.09.011} } @incollection{bourgain:12:moebius, author = {Bourgain, Jean}, title = {Moebius {S}chr\"{o}dinger}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {2050}, pages = {143--150}, publisher = {Springer, Heidelberg}, year = {2012}, isbn = {978-3-642-29848-6; 978-3-642-29849-3}, mrclass = {39A12 (39A70 47B99 81Q05 82B44)}, mrnumber = {2985130}, mrreviewer = {Illya\ M.\ Karabash}, doi = {10.1007/978-3-642-29849-3\_8}, url = {https://doi.org/10.1007/978-3-642-29849-3_8} } @article{bourgain:12:on, author = {Bourgain, J.}, title = {On the {F}urstenberg measure and density of states for the {A}nderson-{B}ernoulli model at small disorder}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {117}, year = {2012}, pages = {273--295}, issn = {0021-7670,1565-8538}, mrclass = {82B44 (35R02 60B15)}, mrnumber = {2944098}, mrreviewer = {Sasha\ Sodin}, doi = {10.1007/s11854-012-0022-6}, url = {https://doi.org/10.1007/s11854-012-0022-6} } @article{bourgain:12:partial, author = {Bourgain, Jean}, title = {Partial quotients and representation of rational numbers}, journal = {C. R. Math. Acad. Sci. Paris}, fjournal = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, volume = {350}, year = {2012}, number = {15-16}, pages = {727--730}, issn = {1631-073X,1778-3569}, mrclass = {11A55 (11L03 11P55)}, mrnumber = {2981341}, mrreviewer = {Ping\ Ding}, doi = {10.1016/j.crma.2012.09.002}, url = {https://doi.org/10.1016/j.crma.2012.09.002} } @incollection{bourgain:13:around, author = {Bourgain, Jean}, title = {Around the sum-product phenomenon}, booktitle = {Erd\"{o}s centennial}, series = {Bolyai Soc. Math. Stud.}, volume = {25}, pages = {111--128}, publisher = {J\'{a}nos Bolyai Math. Soc., Budapest}, year = {2013}, isbn = {978-963-9453-18-0; 978-3-642-39285-6}, mrclass = {11B30 (01A70 11T23 20K01 22C05)}, mrnumber = {3203595}, mrreviewer = {Wolfgang\ A.\ Schmid}, doi = {10.1007/978-3-642-39286-3\_4}, url = {https://doi.org/10.1007/978-3-642-39286-3_4} } @article{bourgain:13:corrigendum, author = {Bourgain, J.}, title = {Corrigendum to ``{A}pollonian circle packings and prime curvatures'' [MR2993027]}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {120}, year = {2013}, pages = {393}, issn = {0021-7670,1565-8538}, mrclass = {52C26}, mrnumber = {3095159}, doi = {10.1007/s11854-013-0025-y}, url = {https://doi.org/10.1007/s11854-013-0025-y} } @article{bourgain:13:lower, author = {Bourgain, J.}, title = {A lower bound for the {L}yapunov exponents of the random {S}chr\"{o}dinger operator on a strip}, journal = {J. Stat. Phys.}, fjournal = {Journal of Statistical Physics}, volume = {153}, year = {2013}, number = {1}, pages = {1--9}, issn = {0022-4715,1572-9613}, mrclass = {60H25 (82B44)}, mrnumber = {3100812}, mrreviewer = {Constanza\ Rojas-Molina}, doi = {10.1007/s10955-013-0821-x}, url = {https://doi.org/10.1007/s10955-013-0821-x} } @article{bourgain:13:mobius-walsh, author = {Bourgain, J.}, title = {M\"{o}bius-{W}alsh correlation bounds and an estimate of {M}auduit and {R}ivat}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {119}, year = {2013}, pages = {147--163}, issn = {0021-7670,1565-8538}, mrclass = {11N37}, mrnumber = {3043150}, mrreviewer = {Dominic\ Klyve}, doi = {10.1007/s11854-013-0005-2}, url = {https://doi.org/10.1007/s11854-013-0005-2} } @article{bourgain:13:moment, author = {Bourgain, J.}, title = {Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {193}, year = {2013}, number = {1}, pages = {441--458}, issn = {0021-2172,1565-8511}, mrclass = {42B08 (42B05)}, mrnumber = {3038558}, mrreviewer = {F.\ M\'{o}ricz}, doi = {10.1007/s11856-012-0077-1}, url = {https://doi.org/10.1007/s11856-012-0077-1} } @article{bourgain:13:on, author = {Bourgain, J.}, title = {On the correlation of the {M}oebius function with rank-one systems}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {120}, year = {2013}, pages = {105--130}, issn = {0021-7670,1565-8538}, mrclass = {37A30 (11L20 11N37)}, mrnumber = {3095150}, mrreviewer = {Giulio\ Tiozzo}, doi = {10.1007/s11854-013-0016-z}, url = {https://doi.org/10.1007/s11854-013-0016-z} } @article{bourgain:13:on*1, author = {Bourgain, J.}, title = {On the {S}chr\"{o}dinger maximal function in higher dimension}, journal = {Tr. Mat. Inst. Steklova}, fjournal = {Trudy Matematicheskogo Instituta Imeni V. A. Steklova}, volume = {280}, year = {2013}, pages = {53--66}, issn = {0371-9685}, isbn = {5-7846-0125-3; 978-5-7846-0125-4}, mrclass = {42B20 (35J10 35Q41)}, mrnumber = {3241836}, mrreviewer = {Juan\ Luis\ Varona}, doi = {10.1134/s0081543813010045}, url = {https://doi.org/10.1134/s0081543813010045} } @incollection{bourgain:13:on*2, author = {Bourgain, J.}, title = {On the {L}yapunov exponents of {S}chr\"{o}dinger operators associated with the standard map}, booktitle = {Asymptotic geometric analysis}, series = {Fields Inst. Commun.}, volume = {68}, pages = {39--44}, publisher = {Springer, New York}, year = {2013}, isbn = {978-1-4614-6405-1; 978-1-4614-6406-8}, mrclass = {37D50 (37D25)}, mrnumber = {3076146}, mrreviewer = {Boris\ Hasselblatt}, doi = {10.1007/978-1-4614-6406-8\_3}, url = {https://doi.org/10.1007/978-1-4614-6406-8_3} } @article{bourgain:13:on*3, author = {Bourgain, J.}, title = {On the {F}ourier-{W}alsh spectrum of the {M}oebius function}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {197}, year = {2013}, number = {1}, pages = {215--235}, issn = {0021-2172,1565-8511}, mrclass = {11F30}, mrnumber = {3096614}, mrreviewer = {Gergely\ Harcos}, doi = {10.1007/s11856-013-0002-2}, url = {https://doi.org/10.1007/s11856-013-0002-2} } @article{bourgain:13:prescribing, author = {Bourgain, Jean}, title = {Prescribing the binary digits of primes}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {194}, year = {2013}, number = {2}, pages = {935--955}, issn = {0021-2172,1565-8511}, mrclass = {11N05 (11A41 11A63)}, mrnumber = {3047097}, mrreviewer = {Vilius\ Stakenas}, doi = {10.1007/s11856-012-0104-2}, url = {https://doi.org/10.1007/s11856-012-0104-2} } @article{bourgain:14:application, author = {Bourgain, J.}, title = {An application of group expansion to the {A}nderson-{B}ernoulli model}, journal = {Geom. Funct. Anal.}, fjournal = {Geometric and Functional Analysis}, volume = {24}, year = {2014}, number = {1}, pages = {49--62}, issn = {1016-443X,1420-8970}, mrclass = {82B44 (35J10 35P05 35R02 47B39)}, mrnumber = {3177377}, mrreviewer = {Mariza\ S.\ Simsen}, doi = {10.1007/s00039-014-0260-0}, url = {https://doi.org/10.1007/s00039-014-0260-0} } @incollection{bourgain:14:improved, author = {Bourgain, Jean}, title = {An improved estimate in the restricted isometry problem}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {2116}, pages = {65--70}, publisher = {Springer, Cham}, year = {2014}, isbn = {978-3-319-09476-2; 978-3-319-09477-9}, mrclass = {94A12 (15B34)}, mrnumber = {3364679}, doi = {10.1007/978-3-319-09477-9\_5}, url = {https://doi.org/10.1007/978-3-319-09477-9_5} } @article{bourgain:14:monotone, author = {Bourgain, Jean}, title = {Monotone {B}oolean functions capture their primes}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {124}, year = {2014}, pages = {297--307}, issn = {0021-7670,1565-8538}, mrclass = {11N05 (11A41 11A63)}, mrnumber = {3286055}, mrreviewer = {Vilius\ Stakenas}, doi = {10.1007/s11854-014-0033-6}, url = {https://doi.org/10.1007/s11854-014-0033-6} } @article{bourgain:14:on, author = {Bourgain, Jean}, title = {On the {H}ardy-{L}ittlewood maximal function for the cube}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {203}, year = {2014}, number = {1}, pages = {275--293}, issn = {0021-2172,1565-8511}, mrclass = {42B25}, mrnumber = {3273441}, mrreviewer = {Javier\ P\'{e}rez L\'{a}zaro}, doi = {10.1007/s11856-014-1059-2}, url = {https://doi.org/10.1007/s11856-014-1059-2} } @incollection{bourgain:14:on*1, author = {Bourgain, Jean}, title = {On eigenvalue spacings for the 1-{D} {A}nderson model with singular site distribution}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {2116}, pages = {71--83}, publisher = {Springer, Cham}, year = {2014}, isbn = {978-3-319-09476-2; 978-3-319-09477-9}, mrclass = {35P15 (35J10 35P05 47B39 81Q12 82B20 82B44)}, mrnumber = {3364680}, mrreviewer = {Michael\ A.\ Perelmuter}, doi = {10.1007/978-3-319-09477-9\_6}, url = {https://doi.org/10.1007/978-3-319-09477-9_6} } @incollection{bourgain:14:on*2, author = {Bourgain, Jean}, title = {On the control problem for {S}chr\"{o}dinger operators on tori}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {2116}, pages = {97--105}, publisher = {Springer, Cham}, year = {2014}, isbn = {978-3-319-09476-2; 978-3-319-09477-9}, mrclass = {35Q41 (47B39 47N50 81Q05)}, mrnumber = {3364682}, mrreviewer = {G.\ V.\ Rozenblum}, doi = {10.1007/978-3-319-09477-9\_8}, url = {https://doi.org/10.1007/978-3-319-09477-9_8} } @incollection{bourgain:14:on*3, author = {Bourgain, Jean}, title = {On the local eigenvalue spacings for certain {A}nderson-{B}ernoulli {H}amiltonians}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {2116}, pages = {85--96}, publisher = {Springer, Cham}, year = {2014}, isbn = {978-3-319-09476-2; 978-3-319-09477-9}, mrclass = {35P15 (35J10 35P05 81Q12 82B44)}, mrnumber = {3364681}, mrreviewer = {Michael\ A.\ Perelmuter}, doi = {10.1007/978-3-319-09477-9\_7}, url = {https://doi.org/10.1007/978-3-319-09477-9_7} } @incollection{bourgain:14:on*4, author = {Bourgain, Jean}, title = {On oscillatory integral operators in higher dimensions}, booktitle = {Advances in analysis: the legacy of {E}lias {M}. {S}tein}, series = {Princeton Math. Ser.}, volume = {50}, pages = {47--62}, publisher = {Princeton Univ. Press, Princeton, NJ}, year = {2014}, isbn = {978-0-691-15941-6}, mrclass = {42B20 (42B25)}, mrnumber = {3329846}, mrreviewer = {Brett\ D.\ Wick} } @article{bourgain:14:on*5, author = {Bourgain, Jean}, title = {On toral eigenfunctions and the random wave model}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {201}, year = {2014}, number = {2}, pages = {611--630}, issn = {0021-2172,1565-8511}, mrclass = {60G15 (35J05 35P20)}, mrnumber = {3265298}, mrreviewer = {Isamu\ D\^{o}ku}, doi = {10.1007/s11856-014-1037-z}, url = {https://doi.org/10.1007/s11856-014-1037-z} } @incollection{bourgain:14:some, author = {Bourgain, Jean}, title = {Some {D}iophantine applications of the theory of group expansion}, booktitle = {Thin groups and superstrong approximation}, series = {Math. Sci. Res. Inst. Publ.}, volume = {61}, pages = {1--22}, publisher = {Cambridge Univ. Press, Cambridge}, year = {2014}, isbn = {978-1-107-03685-7}, mrclass = {11J70 (11B30)}, mrnumber = {3220882}, mrreviewer = {Ben\ Joseph\ Green} } @article{bourgain:15:on, author = {Bourgain, Jean}, title = {On {P}leijel's nodal domain theorem}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2015}, number = {6}, pages = {1601--1612}, issn = {1073-7928,1687-0247}, mrclass = {58J50 (58J60)}, mrnumber = {3340367}, mrreviewer = {De\ Tang\ Zhou}, doi = {10.1093/imrn/rnt241}, url = {https://doi.org/10.1093/imrn/rnt241} } @article{bourgain:15:prescribing, author = {Bourgain, Jean}, title = {Prescribing the binary digits of primes, {II}}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {206}, year = {2015}, number = {1}, pages = {165--182}, issn = {0021-2172,1565-8511}, mrclass = {11N05 (11A41 11A63)}, mrnumber = {3319636}, mrreviewer = {Vilius\ Stakenas}, doi = {10.1007/s11856-014-1129-5}, url = {https://doi.org/10.1007/s11856-014-1129-5} } @article{bourgain:15:remark, author = {Bourgain, J.}, title = {A remark on solutions of the {P}ell equation}, journal = {Int. Math. Res. Not. IMRN}, fjournal = {International Mathematics Research Notices. IMRN}, year = {2015}, number = {10}, pages = {2841--2855}, issn = {1073-7928,1687-0247}, mrclass = {11D09}, mrnumber = {3352258}, mrreviewer = {Tom\ Sanders}, doi = {10.1093/imrn/rnu023}, url = {https://doi.org/10.1093/imrn/rnu023} } @article{bourgain:16:note, author = {Bourgain, J.}, title = {A note on the {S}chr\"{o}dinger maximal function}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {130}, year = {2016}, pages = {393--396}, issn = {0021-7670,1565-8538}, mrclass = {42B25 (35Q41)}, mrnumber = {3574661}, mrreviewer = {Manuel\ Alejandro\ Sanabria Garc\'{i}a}, doi = {10.1007/s11854-016-0042-8}, url = {https://doi.org/10.1007/s11854-016-0042-8} } @article{bourgain:16:on, author = {Bourgain, Jean}, title = {On uniformly bounded bases in spaces of holomorphic functions}, journal = {Amer. J. Math.}, fjournal = {American Journal of Mathematics}, volume = {138}, year = {2016}, number = {2}, pages = {571--584}, issn = {0002-9327,1080-6377}, mrclass = {32A70}, mrnumber = {3483477}, mrreviewer = {E.\ S.\ Dubtsov}, doi = {10.1353/ajm.2016.0018}, url = {https://doi.org/10.1353/ajm.2016.0018} } @article{bourgain:16:on*1, author = {Bourgain, Jean}, title = {On the {F}ourier-{W}alsh spectrum of the {M}oebius function, {II}}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {128}, year = {2016}, pages = {355--367}, issn = {0021-7670,1565-8538}, mrclass = {11F30}, mrnumber = {3481179}, mrreviewer = {Hidenori\ Katsurada}, doi = {10.1007/s11854-016-0012-1}, url = {https://doi.org/10.1007/s11854-016-0012-1} } @article{bourgain:16:quantitative, author = {Bourgain, Jean}, title = {A quantitative {O}ppenheim theorem for generic diagonal quadratic forms}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {215}, year = {2016}, number = {1}, pages = {503--512}, issn = {0021-2172,1565-8511}, mrclass = {11E20 (22E40 37A17)}, mrnumber = {3551907}, mrreviewer = {B.\ Sury}, doi = {10.1007/s11856-016-1385-7}, url = {https://doi.org/10.1007/s11856-016-1385-7} } @article{bourgain:17:decoupling, author = {Bourgain, J.}, title = {Decoupling, exponential sums and the {R}iemann zeta function}, journal = {J. Amer. Math. Soc.}, fjournal = {Journal of the American Mathematical Society}, volume = {30}, year = {2017}, number = {1}, pages = {205--224}, issn = {0894-0347,1088-6834}, mrclass = {11M06 (11L07)}, mrnumber = {3556291}, mrreviewer = {Kostadinka\ Lapkova}, doi = {10.1090/jams/860}, url = {https://doi.org/10.1090/jams/860} } @article{bourgain:17:decoupling*1, author = {Bourgain, Jean}, title = {Decoupling inequalities and some mean-value theorems}, journal = {J. Anal. Math.}, fjournal = {Journal d'Analyse Math\'{e}matique}, volume = {133}, year = {2017}, pages = {313--334}, issn = {0021-7670,1565-8538}, mrclass = {11P05 (11E76)}, mrnumber = {3736494}, mrreviewer = {Rainer\ Dietmann}, doi = {10.1007/s11854-017-0035-2}, url = {https://doi.org/10.1007/s11854-017-0035-2} } @incollection{bourgain:17:on, author = {Bourgain, Jean}, title = {On a problem of {F}arrell and {V}ershynin in random matrix theory}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {2169}, pages = {65--69}, publisher = {Springer, Cham}, year = {2017}, isbn = {978-3-319-45281-4; 978-3-319-45282-1}, mrclass = {60B20}, mrnumber = {3645115}, mrreviewer = {Tatyana\ Shcherbina} } @incollection{bourgain:17:on*1, author = {Bourgain, Jean}, title = {On random walks in large compact {L}ie groups}, booktitle = {Geometric aspects of functional analysis}, series = {Lecture Notes in Math.}, volume = {2169}, pages = {55--63}, publisher = {Springer, Cham}, year = {2017}, isbn = {978-3-319-45281-4; 978-3-319-45282-1}, mrclass = {22D40 (60G50)}, mrnumber = {3645114}, mrreviewer = {S.\ G.\ Dani} } @article{bourgain:18:on, author = {Bourgain, J.}, title = {On quadratic irrationals with bounded partial quotients}, journal = {Selecta Math. (N.S.)}, fjournal = {Selecta Mathematica. New Series}, volume = {24}, year = {2018}, number = {3}, pages = {2831--2839}, issn = {1022-1824,1420-9020}, mrclass = {11D09 (11K50 11L05)}, mrnumber = {3816517}, mrreviewer = {P.\ Bundschuh}, doi = {10.1007/s00029-017-0380-0}, url = {https://doi.org/10.1007/s00029-017-0380-0} } @article{bourgain:18:on*1, author = {Bourgain, J.}, title = {On a homogenization problem}, journal = {J. Stat. Phys.}, fjournal = {Journal of Statistical Physics}, volume = {172}, year = {2018}, number = {2}, pages = {314--320}, issn = {0022-4715,1572-9613}, mrclass = {35B27 (35J15 35R60 60H25)}, mrnumber = {3824939}, mrreviewer = {Isabelle\ Gruais}, doi = {10.1007/s10955-018-1981-5}, url = {https://doi.org/10.1007/s10955-018-1981-5} } @article{bourgain:76:strongly, author = {Bourgain, J.}, title = {Strongly exposed points in weakly compact convex sets in {B}anach spaces}, journal = {Proc. Amer. Math. Soc.}, fjournal = {Proceedings of the American Mathematical Society}, volume = {58}, year = {1976}, pages = {197--200}, issn = {0002-9939,1088-6826}, mrclass = {46B05}, mrnumber = {415272}, mrreviewer = {I.\ Namioka}, doi = {10.2307/2041384}, url = {https://doi.org/10.2307/2041384} } @article{bourgain:77:compact, author = {Bourgain, J.}, title = {Compact sets of first {B}aire class}, journal = {Bull. Soc. Math. Belg.}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique Belgique}, volume = {29}, year = {1977}, number = {2}, pages = {135--143}, issn = {0373-2053}, mrclass = {54C50}, mrnumber = {470931}, mrreviewer = {J.\ D.\ Baum} } @article{bourgain:77:on, author = {Bourgain, J.}, title = {On dentability and the {B}ishop-{P}helps property}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {28}, year = {1977}, number = {4}, pages = {265--271}, issn = {0021-2172}, mrclass = {46B05}, mrnumber = {482076}, mrreviewer = {Robert\ E.\ Huff}, doi = {10.1007/BF02760634}, url = {https://doi.org/10.1007/BF02760634} } @article{bourgain:78:averaging, author = {Bourgain, J.}, title = {An averaging result for {$c\sb{0}$}-sequences}, journal = {Bull. Soc. Math. Belg.}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique Belgique}, volume = {30}, year = {1978}, number = {1}, pages = {83--87}, issn = {0373-2053}, mrclass = {46A45 (46E30)}, mrnumber = {549653}, mrreviewer = {H.\ E.\ Lacey} } @article{bourgain:78:geometric, author = {Bourgain, J.}, title = {A geometric characterization of the {R}adon-{N}ikod\'{y}m property in {B}anach spaces}, journal = {Compositio Math.}, fjournal = {Compositio Mathematica}, volume = {36}, year = {1978}, number = {1}, pages = {3--6}, issn = {0010-437X,1570-5846}, mrclass = {46B20}, mrnumber = {515034}, mrreviewer = {J.\ Diestel}, url = {http://www.numdam.org/item?id=CM_1978__36_1_3_0} } @article{bourgain:78:note, author = {Bourgain, J.}, title = {A note on extreme points in duals}, journal = {Bull. Soc. Math. Belg.}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique Belgique}, volume = {30}, year = {1978}, number = {1}, pages = {89--91}, issn = {0373-2053}, mrclass = {46A55}, mrnumber = {549654}, mrreviewer = {Benno\ Fuchssteiner}, doi = {10.1016/0315-0860(80)90077-4}, url = {https://doi.org/10.1016/0315-0860(80)90077-4} } @article{bourgain:78:on, author = {Bourgain, J.}, title = {On the representation of two-dimensional unconditional and symmetric norms}, journal = {Bull. Soc. Math. Belg.}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique Belgique}, volume = {30}, year = {1978}, number = {2}, pages = {121--133}, issn = {0373-2053}, mrclass = {46A55}, mrnumber = {582662}, mrreviewer = {Thomas\ E.\ Armstrong} } @article{bourgain:78:some, author = {Bourgain, J.}, title = {Some remarks on compact sets of first {B}aire class}, journal = {Bull. Soc. Math. Belg.}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique Belgique}, volume = {30}, year = {1978}, number = {1}, pages = {3--10}, issn = {0373-2053}, mrclass = {54C50 (54E50)}, mrnumber = {549647}, mrreviewer = {Val\'{e}ry\ Mi\v{s}kin} } @incollection{bourgain:78:stabilization, author = {Bourgain, Jean}, title = {A stabilization property and its applications in the theory of sections}, booktitle = {S\'{e}minaire {C}hoquet, 17e ann\'{e}e (1977/78), {I}nitiation \`a l'analyse, {F}asc. 1}, pages = {Exp. No. 5, 23}, publisher = {Secr\'{e}tariat Math., Paris}, year = {1978}, isbn = {2-85926-267-9}, mrclass = {04A15 (28A05 54H05)}, mrnumber = {522979}, mrreviewer = {A.\ H.\ Stone} } @article{bourgain:79:averaging, author = {Bourgain, J.}, title = {An averaging result for {$l\sp{1}$}-sequences and applications to weakly conditionally compact sets in {$L\sp{1}\sb{X}$}}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {32}, year = {1979}, number = {4}, pages = {289--298}, issn = {0021-2172}, mrclass = {46B20 (28B05)}, mrnumber = {571083}, mrreviewer = {J.\ Diestel}, doi = {10.1007/BF02760458}, url = {https://doi.org/10.1007/BF02760458} } @article{bourgain:79:decompositions, author = {Bourgain, J.}, title = {Decompositions in the product of a measure space and a {P}olish space}, journal = {Fund. Math.}, fjournal = {Polska Akademia Nauk. Fundamenta Mathematicae}, volume = {105}, year = {1979/80}, number = {1}, pages = {61--71}, issn = {0016-2736,1730-6329}, mrclass = {28A05 (04A15)}, mrnumber = {558129}, mrreviewer = {D.\ H.\ Fremlin}, doi = {10.4064/fm-105-1-61-71}, url = {https://doi.org/10.4064/fm-105-1-61-71} } @incollection{bourgain:79:dunford-pettis, author = {Bourgain, J.}, title = {Dunford-{P}ettis operators on {$L\sp{1}$} and the {R}adon-{N}ikod\'{y}m property}, booktitle = {Initiation {S}eminar on {A}nalysis: {G}. {C}hoquet-{M}. {R}ogalski-{J}. {S}aint-{R}aymond, 18th {Y}ear: 1978/1979}, series = {Publ. Math. Univ. Pierre et Marie Curie}, volume = {29}, pages = {Exp. No. 6, 17}, publisher = {Univ. Paris VI, Paris}, year = {1979}, mrclass = {46B22 (47B38)}, mrnumber = {670763} } @incollection{bourgain:79:espace, author = {Bourgain, J.}, title = {Un espace non {R}adon-{N}ikod\'{y}m sans arbre diadique}, booktitle = {S\'{e}minaire d'{A}nalyse {F}onctionnelle (1978--1979)}, pages = {Exp. No. 29, 6}, publisher = {\'{E}cole Polytech., Palaiseau}, year = {1979}, mrclass = {46B22}, mrnumber = {557381}, mrreviewer = {James\ Hagler} } @incollection{bourgain:79:espace*1, author = {Bourgain, J.}, title = {Un espace {${\cal L}\sp{infty }$} jouissant de la propri\'{e}t\'{e} de {S}chur et de la propri\'{e}t\'{e} de {R}adon-{N}ikod\'{y}m}, booktitle = {S\'{e}minaire d'{A}nalyse {F}onctionnelle (1978--1979)}, pages = {Exp. No. 4, 7}, publisher = {\'{E}cole Polytech., Palaiseau}, year = {1979}, mrclass = {46B20 (46B22)}, mrnumber = {557361}, mrreviewer = {W.\ J.\ Davis} } @article{bourgain:79:note, author = {Bourgain, J.}, title = {A note on the {L}ebesgue spaces of vector-valued functions}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {31}, year = {1979}, number = {1}, pages = {45--47}, issn = {0037-9476}, mrclass = {46E30}, mrnumber = {592659}, mrreviewer = {J.\ Diestel} } @incollection{bourgain:79:result, author = {Bourgain, J.}, title = {A result on operators on {$C[0,\,1]$}}, booktitle = {Initiation {S}eminar on {A}nalysis: {G}. {C}hoquet-{M}. {R}ogalski-{J}. {S}aint-{R}aymond, 18th {Y}ear: 1978/1979}, series = {Publ. Math. Univ. Pierre et Marie Curie}, volume = {29}, pages = {Exp. No. 10, 18}, publisher = {Univ. Paris VI, Paris}, year = {1979}, mrclass = {46B25 (47B38)}, mrnumber = {670767}, mrreviewer = {K.\ Sundaresan} } @article{bourgain:79:sets, author = {Bourgain, J.}, title = {Sets with the {R}adon-{N}ikod\'{y}m property in conjugate {B}anach space}, journal = {Studia Math.}, fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica}, volume = {66}, year = {1979/80}, number = {3}, pages = {291--297}, issn = {0039-3223,1730-6337}, mrclass = {46B22 (46B05)}, mrnumber = {579734}, mrreviewer = {John\ M.\ Baker}, doi = {10.4064/sm-66-3-291-297}, url = {https://doi.org/10.4064/sm-66-3-291-297} } @article{bourgain:79:szlenk, author = {Bourgain, J.}, title = {The {S}zlenk index and operators on {$C(K)$}-spaces}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {31}, year = {1979}, number = {1}, pages = {87--117}, issn = {0037-9476}, mrclass = {46B20 (46E99 47B38)}, mrnumber = {592664} } @article{bourgain:80:borel, author = {Bourgain, J.}, title = {Borel sets with {$F\sb{\sigma \delta }$}-sections}, journal = {Fund. Math.}, fjournal = {Polska Akademia Nauk. Fundamenta Mathematicae}, volume = {107}, year = {1980}, number = {2}, pages = {149--159}, issn = {0016-2736,1730-6329}, mrclass = {54H05}, mrnumber = {584668}, mrreviewer = {D.\ W.\ Bressler}, doi = {10.4064/fm-107-2-149-159}, url = {https://doi.org/10.4064/fm-107-2-149-159} } @article{bourgain:80:characterization, author = {Bourgain, J.}, title = {A characterization of non-{D}unford-{P}ettis operators on {$L\sp{1}$}}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {37}, year = {1980}, number = {1-2}, pages = {48--53}, issn = {0021-2172}, mrclass = {47B38 (46B22 47B05 60G48)}, mrnumber = {599301}, mrreviewer = {R.\ W.\ Cross}, doi = {10.1007/BF02762867}, url = {https://doi.org/10.1007/BF02762867} } @incollection{bourgain:80:complementation, author = {Bourgain, J.}, title = {Compl\'{e}mentation de sous-espaces {$L\sp{1}$} dans les espaces {$L\sp{1}$}}, booktitle = {Seminar on {F}unctional {A}nalysis, 1979--1980 ({F}rench)}, pages = {Exp. No. 27, 7}, publisher = {\'{E}cole Polytech., Palaiseau}, year = {1980}, mrclass = {46E30 (46B25)}, mrnumber = {604408}, mrreviewer = {A.\ V.\ Bukhvalov} } @article{bourgain:80:dentability, author = {Bourgain, J.}, title = {Dentability and finite-dimensional decompositions}, journal = {Studia Math.}, fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica}, volume = {67}, year = {1980}, number = {2}, pages = {135--148}, issn = {0039-3223,1730-6337}, mrclass = {46B22}, mrnumber = {583294}, mrreviewer = {Robert\ E.\ Huff}, doi = {10.4064/sm-67-2-135-148}, url = {https://doi.org/10.4064/sm-67-2-135-148} } @article{bourgain:80:dunford-pettis, author = {Bourgain, J.}, title = {Dunford-{P}ettis operators on {$L\sp{1}$} and the {R}adon-{N}ikod\'{y}m property}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {37}, year = {1980}, number = {1-2}, pages = {34--47}, issn = {0021-2172}, mrclass = {47B38 (46B22 47B05 60G48)}, mrnumber = {599300}, mrreviewer = {R.\ W.\ Cross}, doi = {10.1007/BF02762866}, url = {https://doi.org/10.1007/BF02762866} } @article{bourgain:80:espaces, author = {Bourgain, Jean}, title = {Espaces {$L\sp{1}$} ne v\'{e}rifiant pas la propri\'{e}t\'{e} de {R}adon-{N}ikod\'{y}m}, journal = {C. R. Acad. Sci. Paris S\'{e}r. A-B}, fjournal = {Comptes Rendus Hebdomadaires des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}ries A et B}, volume = {291}, year = {1980}, number = {5}, pages = {A343--A345}, issn = {0151-0509}, mrclass = {46B22}, mrnumber = {596064} } @article{bourgain:80:f--sections, author = {Bourgain, J.}, title = {{$F\sb{\sigma \delta }$}-sections of {B}orel sets}, journal = {Fund. Math.}, fjournal = {Polska Akademia Nauk. Fundamenta Mathematicae}, volume = {107}, year = {1980}, number = {2}, pages = {129--133}, issn = {0016-2736,1730-6329}, mrclass = {54H05}, mrnumber = {584665}, mrreviewer = {D.\ W.\ Bressler}, doi = {10.4064/fm-107-2-129-133}, url = {https://doi.org/10.4064/fm-107-2-129-133} } @article{bourgain:80:linfty-c0, author = {Bourgain, J.}, title = {{$l\sp{infty }/c\sb{0}$} has no equivalent strictly convex norm}, journal = {Proc. Amer. Math. Soc.}, fjournal = {Proceedings of the American Mathematical Society}, volume = {78}, year = {1980}, number = {2}, pages = {225--226}, issn = {0002-9939,1088-6826}, mrclass = {46B25 (46A45)}, mrnumber = {550499}, mrreviewer = {S.\ Swaminathan}, doi = {10.2307/2042258}, url = {https://doi.org/10.2307/2042258} } @article{bourgain:80:nondentable, author = {Bourgain, J.}, title = {A nondentable set without the tree property}, journal = {Studia Math.}, fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica}, volume = {68}, year = {1980}, number = {2}, pages = {131--139}, issn = {0039-3223,1730-6337}, mrclass = {46B20}, mrnumber = {599142}, mrreviewer = {Robert\ E.\ Huff}, doi = {10.4064/sm-68-2-131-139}, url = {https://doi.org/10.4064/sm-68-2-131-139} } @incollection{bourgain:80:nouvelle, author = {Bourgain, J.}, title = {Une nouvelle classe d'espaces {${\cal L}\sp{1}$}}, booktitle = {Seminar on {F}unctional {A}nalysis, 1979--1980 ({F}rench)}, pages = {Exp. No. 4B, 6}, publisher = {\'{E}cole Polytech., Palaiseau}, year = {1980}, mrclass = {46B20}, mrnumber = {625846}, mrreviewer = {G.\ Schechtman} } @article{bourgain:80:on, author = {Bourgain, J.}, title = {On separable {B}anach spaces, universal for all separable reflexive spaces}, journal = {Proc. Amer. Math. Soc.}, fjournal = {Proceedings of the American Mathematical Society}, volume = {79}, year = {1980}, number = {2}, pages = {241--246}, issn = {0002-9939,1088-6826}, mrclass = {46B20}, mrnumber = {565347}, mrreviewer = {Zvi\ Altshuler}, doi = {10.2307/2043243}, url = {https://doi.org/10.2307/2043243} } @article{bourgain:80:on*1, author = {Bourgain, J.}, title = {On lacunary sets}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {32}, year = {1980}, number = {1}, pages = {29--32}, issn = {0037-9476}, mrclass = {05A99}, mrnumber = {682989}, mrreviewer = {J.\ Spencer} } @article{bourgain:80:on*2, author = {Bourgain, J.}, title = {On convergent sequences of continuous functions}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {32}, year = {1980}, number = {2}, pages = {235--249}, issn = {0037-9476}, mrclass = {46E15 (46B20 54C30)}, mrnumber = {682645}, mrreviewer = {D.\ H.\ Fremlin} } @article{bourgain:80:proprietes, author = {Bourgain, Jean}, title = {Propri\'{e}t\'{e}s de rel\`evement et projections dans les espaces {$L\sp{1}/H\sp{1}\sb{0}$} et {$H\sp{infty }$}}, journal = {C. R. Acad. Sci. Paris S\'{e}r. A-B}, fjournal = {Comptes Rendus Hebdomadaires des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}ries A et B}, volume = {291}, year = {1980}, number = {11}, pages = {A607--A609}, issn = {0151-0509}, mrclass = {46E15 (46J15)}, mrnumber = {603156} } @article{bourgain:80:remarks, author = {Bourgain, J.}, title = {Remarks on the double dual of a {B}anach space}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {32}, year = {1980}, number = {2}, pages = {171--178}, issn = {0037-9476}, mrclass = {46B20}, mrnumber = {682640}, mrreviewer = {Constantin\ Niculescu} } @article{bourgain:80:result, author = {Bourgain, J.}, title = {A result on operators on {$\mathscr{C}[0,1]$}}, journal = {J. Operator Theory}, fjournal = {Journal of Operator Theory}, volume = {3}, year = {1980}, number = {2}, pages = {275--289}, issn = {0379-4024}, mrclass = {46B25 (47B38)}, mrnumber = {578944}, mrreviewer = {Y.\ Benyamini} } @article{bourgain:80:sous-espaces, author = {Bourgain, Jean}, title = {Sous-espaces {$L\sp{p}$} invariants par translations sur le groupe de {C}antor}, journal = {C. R. Acad. Sci. Paris S\'{e}r. A-B}, fjournal = {Comptes Rendus Hebdomadaires des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}ries A et B}, volume = {291}, year = {1980}, number = {1}, pages = {A39--A40}, issn = {0151-0509}, mrclass = {46E30 (42C10)}, mrnumber = {590984} } @article{bourgain:80:sur, author = {Bourgain, Jean}, title = {Sur les isomorphismes entre espaces {$H\sp{1}$}}, journal = {C. R. Acad. Sci. Paris S\'{e}r. A-B}, fjournal = {Comptes Rendus Hebdomadaires des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}ries A et B}, volume = {291}, year = {1980}, number = {2}, pages = {A111--A112}, issn = {0151-0509}, mrclass = {46E15 (46J15)}, mrnumber = {604994}, mrreviewer = {B.\ Korenblum} } @incollection{bourgain:80:walsh, author = {Bourgain, J.}, title = {Walsh subspaces of {$L\sp{p}$}-product spaces}, booktitle = {Seminar on {F}unctional {A}nalysis, 1979--1980 ({F}rench)}, pages = {Exp. No. 4A, 9}, publisher = {\'{E}cole Polytech., Palaiseau}, year = {1980}, mrclass = {46E30}, mrnumber = {604387}, mrreviewer = {G.\ Schechtman} } @article{bourgain:81:counterexample, author = {Bourgain, J.}, title = {A counterexample to a complementation problem}, journal = {Compositio Math.}, fjournal = {Compositio Mathematica}, volume = {43}, year = {1981}, number = {1}, pages = {133--144}, issn = {0010-437X,1570-5846}, mrclass = {46B25 (46E30)}, mrnumber = {631431}, mrreviewer = {James\ Hagler}, url = {http://www.numdam.org/item?id=CM_1981__43_1_133_0} } @book{bourgain:81:new, author = {Bourgain, Jean}, title = {New classes of {${\cal L}\sp{p}$}-spaces}, series = {Lecture Notes in Mathematics}, volume = {889}, publisher = {Springer-Verlag, Berlin-New York}, year = {1981}, pages = {v+143}, isbn = {3-540-11156-5}, mrclass = {46B20}, mrnumber = {639014}, mrreviewer = {Hermann\ K\"{o}nig} } @article{bourgain:81:new*1, author = {Bourgain, J.}, title = {A new class of {${\cal L}\sp{1}$}-spaces}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {39}, year = {1981}, number = {1-2}, pages = {113--126}, issn = {0021-2172}, mrclass = {46B22}, mrnumber = {617294}, mrreviewer = {G.\ Schechtman}, doi = {10.1007/BF02762857}, url = {https://doi.org/10.1007/BF02762857} } @article{bourgain:81:noncompleteness, author = {Bourgain, Jean}, title = {Noncompleteness of some convergence on {$l\sp{1}$}}, journal = {Colloq. Math.}, fjournal = {Colloquium Mathematicum}, volume = {44}, year = {1981}, number = {1}, pages = {175--178}, issn = {0010-1354,1730-6302}, mrclass = {46A45 (46B99)}, mrnumber = {633114}, mrreviewer = {M.\ S.\ Ramanujan} } @article{bourgain:81:normes, author = {Bourgain, Jean}, title = {Normes absolument sommantes et sous-espaces {$l\sp{infty }$}}, journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.}, fjournal = {Comptes Rendus des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}rie I. Math\'{e}matique}, volume = {292}, year = {1981}, number = {15}, pages = {719--721}, issn = {0249-6291}, mrclass = {47D30 (46B20)}, mrnumber = {618895} } @incollection{bourgain:81:nouvelles, author = {Bourgain, J.}, title = {Nouvelles propri\'{e}t\'{e}s des espaces {$L\sp{1}/H\sb{0}\sp{1}$} et {$H\sp{infty }$}}, booktitle = {Seminar on {F}unctional {A}nalysis, 1980--1981}, pages = {Exp. No. III, 13}, publisher = {\'{E}cole Polytech., Palaiseau}, year = {1981}, isbn = {2-7302-0025-8}, mrclass = {46B25 (46J15)}, mrnumber = {659304} } @article{bourgain:81:on, author = {Bourgain, J.}, title = {On trigonometric sums with prime frequencies}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {33}, year = {1981}, number = {2}, pages = {289--294}, issn = {0037-9476}, mrclass = {10G05 (10H15 42A45)}, mrnumber = {682653}, mrreviewer = {Ekkehard\ Kr\"{a}tzel} } @article{bourgain:81:on*1, author = {Bourgain, J.}, title = {On the {D}unford-{P}ettis property}, journal = {Proc. Amer. Math. Soc.}, fjournal = {Proceedings of the American Mathematical Society}, volume = {81}, year = {1981}, number = {2}, pages = {265--272}, issn = {0002-9939,1088-6826}, mrclass = {46E40 (28B99 46B20)}, mrnumber = {593470}, mrreviewer = {J.\ J.\ Uhl, Jr.}, doi = {10.2307/2044207}, url = {https://doi.org/10.2307/2044207} } @article{bourgain:81:on*2, author = {Bourgain, J.}, title = {On trigonometric series in super reflexive spaces}, journal = {J. London Math. Soc. (2)}, fjournal = {Journal of the London Mathematical Society. Second Series}, volume = {24}, year = {1981}, number = {1}, pages = {165--174}, issn = {0024-6107,1469-7750}, mrclass = {46B20 (42C99)}, mrnumber = {623683}, mrreviewer = {R.\ C.\ James}, doi = {10.1112/jlms/s2-24.1.165}, url = {https://doi.org/10.1112/jlms/s2-24.1.165} } @article{bourgain:81:operateurs, author = {Bourgain, Jean}, title = {Op\'{e}rateurs sommants sur l'alg\`ebre du disque}, 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 = {677--680}, issn = {0249-6291}, mrclass = {47B37 (46J15 47B10)}, mrnumber = {650534} } @article{bourgain:81:stabilization, author = {Bourgain, J.}, title = {A stabilization property and its applications in the theory of sections}, journal = {Fund. Math.}, fjournal = {Polska Akademia Nauk. Fundamenta Mathematicae}, volume = {112}, year = {1981}, number = {1}, pages = {25--44}, issn = {0016-2736,1730-6329}, mrclass = {28A05 (04A15 54H05)}, mrnumber = {616734}, mrreviewer = {J.\ P. R. Christensen}, doi = {10.4064/fm-112-1-25-44}, url = {https://doi.org/10.4064/fm-112-1-25-44} } @article{bourgain:81:sur, author = {Bourgain, Jean}, title = {Sur les projections dans {$H\sp{infty }$} et la propri\'{e}t\'{e} de {G}rothendieck}, journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.}, fjournal = {Comptes Rendus des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}rie I. Math\'{e}matique}, volume = {293}, year = {1981}, number = {1}, pages = {47--49}, issn = {0249-6291}, mrclass = {47B05 (46J15)}, mrnumber = {633560} } @incollection{bourgain:81:unicite, author = {Bourgain, J.}, title = {Unicit\'{e} de certaines bases inconditionnelles}, booktitle = {Seminar on {F}unctional {A}nalysis, 1980--1981}, pages = {Exp. No. IV, 9}, publisher = {\'{E}cole Polytech., Palaiseau}, year = {1981}, isbn = {2-7302-0025-8}, mrclass = {46B15}, mrnumber = {659305}, mrreviewer = {T.\ Figiel} } @article{bourgain:82:hausdorff-young, author = {Bourgain, J.}, title = {A {H}ausdorff-{Y}oung inequality for {$B$}-convex {B}anach spaces}, journal = {Pacific J. Math.}, fjournal = {Pacific Journal of Mathematics}, volume = {101}, year = {1982}, number = {2}, pages = {255--262}, issn = {0030-8730,1945-5844}, mrclass = {46B20 (43A30)}, mrnumber = {675400}, mrreviewer = {R.\ C.\ James}, url = {http://projecteuclid.org/euclid.pjm/1102724774} } @article{bourgain:82:nonisomorphism, author = {Bourgain, J.}, title = {The nonisomorphism of {$H\sp{1}$}-spaces in one and several variables}, journal = {J. Functional Analysis}, fjournal = {Journal of Functional Analysis}, volume = {46}, year = {1982}, number = {1}, pages = {45--57}, issn = {0022-1236}, mrclass = {46J15 (30H05 32A35)}, mrnumber = {654464}, doi = {10.1016/0022-1236(82)90043-X}, url = {https://doi.org/10.1016/0022-1236(82)90043-X} } @article{bourgain:82:on, author = {Bourgain, J.}, title = {On the embedding problem of {$L\sp{1}$} in {$L\sp{1}/H\sp{1}\sb{0}$}}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {34}, year = {1982}, number = {2}, pages = {187--194}, issn = {0037-9476}, mrclass = {46E99 (46B25)}, mrnumber = {682996}, mrreviewer = {Bernard\ Beauzamy} } @article{bourgain:82:plongement, author = {Bourgain, Jean}, title = {Plongement de {$L\sp{1}$} dans l'espace {$L\sp{1}/H\sp{1}$}}, journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.}, fjournal = {Comptes Rendus des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}rie I. Math\'{e}matique}, volume = {294}, year = {1982}, number = {18}, pages = {633--636}, issn = {0249-6291}, mrclass = {60G46 (46E15)}, mrnumber = {664298} } @article{bourgain:82:quelques, author = {Bourgain, Jean}, title = {Quelques propri\'{e}t\'{e}s lin\'{e}aires de l'espace des s\'{e}ries de {F}ourier uniform\'{e}ment convergentes}, journal = {C. R. Acad. Sci. Paris S\'{e}r. I Math.}, fjournal = {Comptes Rendus des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}rie I. Math\'{e}matique}, volume = {295}, year = {1982}, number = {11}, pages = {623--625}, issn = {0249-6291}, mrclass = {46E99 (42A99)}, mrnumber = {686355} } @article{bourgain:82:remark, author = {Bourgain, J.}, title = {A remark on finite-dimensional {$P\sb{\lambda }$}-spaces}, journal = {Studia Math.}, fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica}, volume = {72}, year = {1982}, number = {3}, pages = {285--289}, issn = {0039-3223,1730-6337}, mrclass = {46B20}, mrnumber = {671402}, mrreviewer = {Zvi\ Altshuler}, doi = {10.4064/sm-72-3-285-289}, url = {https://doi.org/10.4064/sm-72-3-285-289} } @article{bourgain:82:translation, author = {Bourgain, J.}, title = {Translation invariant complemented subspaces of {$L\sp{p}$}}, journal = {Studia Math.}, fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica}, volume = {75}, year = {1982}, number = {1}, pages = {95--101}, issn = {0039-3223,1730-6337}, mrclass = {43A15}, mrnumber = {676808}, mrreviewer = {Mario\ Milman}, doi = {10.4064/sm-75-1-95-101}, url = {https://doi.org/10.4064/sm-75-1-95-101} } @article{bourgain:83:embedding, author = {Bourgain, J.}, title = {Embedding {$L\sp{1}$} in {$L\sp{1}/H\sp{1}$}}, journal = {Trans. Amer. Math. Soc.}, fjournal = {Transactions of the American Mathematical Society}, volume = {278}, year = {1983}, number = {2}, pages = {689--702}, issn = {0002-9947,1088-6850}, mrclass = {46E30 (42A99 46B25 60G46)}, mrnumber = {701518}, doi = {10.2307/1999178}, url = {https://doi.org/10.2307/1999178} } @article{bourgain:83:hinfty-, author = {Bourgain, J.}, title = {{$H\sp{infty }$} is a {G}rothendieck space}, journal = {Studia Math.}, fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica}, volume = {75}, year = {1983}, number = {2}, pages = {193--216}, issn = {0039-3223,1730-6337}, mrclass = {46J15 (30D55 46B20 46E15)}, mrnumber = {722264}, mrreviewer = {S.\ V.\ Kislyakov}, doi = {10.4064/sm-75-2-193-216}, url = {https://doi.org/10.4064/sm-75-2-193-216} } @article{bourgain:83:nonisomorphism, author = {Bourgain, J.}, title = {The nonisomorphism of {$H\sp{1}$}-spaces in a different number of variables}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {35}, year = {1983}, number = {2}, pages = {127--136}, issn = {0037-9476}, mrclass = {46E15 (46J15)}, mrnumber = {731801} } @article{bourgain:83:on, author = {Bourgain, J.}, title = {On weak completeness of the dual of spaces of analytic and smooth functions}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {35}, year = {1983}, number = {1}, pages = {111--118}, issn = {0037-9476}, mrclass = {46E15 (46J15)}, mrnumber = {712065}, mrreviewer = {S.\ V.\ Kislyakov} } @article{bourgain:83:on*1, author = {Bourgain, J.}, title = {On the primarity of {$H\sp{infty }$}-spaces}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {45}, year = {1983}, number = {4}, pages = {329--336}, issn = {0021-2172}, mrclass = {46J15 (30H05 46B20)}, mrnumber = {720307}, mrreviewer = {P.\ Wojtaszczyk}, doi = {10.1007/BF02804016}, url = {https://doi.org/10.1007/BF02804016} } @incollection{bourgain:83:operateurs, author = {Bourgain, Jean}, title = {Op\'{e}rateurs sommants sur l'alg\`ebre du disque}, booktitle = {Seminar on the geometry of {B}anach spaces ({P}aris, 1982)}, series = {Publ. Math. Univ. Paris VII}, volume = {16}, pages = {11--17}, publisher = {Univ. Paris VII, Paris}, year = {1983}, mrclass = {47B10 (46J15 47B38)}, mrnumber = {731941}, mrreviewer = {N.\ Tomczak-Jaegermann} } @incollection{bourgain:83:propriete, author = {Bourgain, Jean}, title = {Propri\'{e}t\'{e} de {G}rothendieck de {$H\sp{infty }$}}, booktitle = {Seminar on the geometry of {B}anach spaces ({P}aris, 1982)}, series = {Publ. Math. Univ. Paris VII}, volume = {16}, pages = {19--27}, publisher = {Univ. Paris VII, Paris}, year = {1983}, mrclass = {46J15}, mrnumber = {731942} } @article{bourgain:83:proprietes, author = {Bourgain, J.}, title = {Propri\'{e}t\'{e}s de d\'{e}composition pour les ensembles de {S}idon}, journal = {Bull. Soc. Math. France}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de France}, volume = {111}, year = {1983}, number = {4}, pages = {421--428}, issn = {0037-9484}, mrclass = {43A46 (42A55)}, mrnumber = {763552}, mrreviewer = {Gilles\ Pisier}, url = {http://www.numdam.org/item?id=BSMF_1983__111__421_0} } @incollection{bourgain:83:remarque, author = {Bourgain, Jean}, title = {Une remarque sur les ensembles stationnaires}, booktitle = {Harmonic analysis: study group on translation-invariant {B}anach spaces}, series = {Publ. Math. Orsay 83}, volume = {1}, pages = {Exp. No. 2, 6}, publisher = {Univ. Paris XI, Orsay}, year = {1983}, mrclass = {43A46 (42A55 60G17)}, mrnumber = {697395}, mrreviewer = {Gilles\ Pisier} } @article{bourgain:83:some, author = {Bourgain, J.}, title = {Some remarks on {B}anach spaces in which martingale difference sequences are unconditional}, journal = {Ark. Mat.}, fjournal = {Arkiv f\"{o}r Matematik}, volume = {21}, year = {1983}, number = {2}, pages = {163--168}, issn = {0004-2080,1871-2487}, mrclass = {46B20 (60B11 60G42)}, mrnumber = {727340}, mrreviewer = {D.\ J. H. Garling}, doi = {10.1007/BF02384306}, url = {https://doi.org/10.1007/BF02384306} } @incollection{bourgain:83:sur, author = {Bourgain, Jean}, title = {Sur les sommes de sinus}, booktitle = {Harmonic analysis: study group on translation-invariant {B}anach spaces}, series = {Publ. Math. Orsay 83}, volume = {1}, pages = {Exp. No. 3, 9}, publisher = {Univ. Paris XI, Orsay}, year = {1983}, mrclass = {44A15 (42A50)}, mrnumber = {697396} } @article{bourgain:83:sur*1, author = {Bourgain, Jean}, title = {Sur les ensembles d'interpolation pour les mesures discr\`etes}, 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 = {296}, year = {1983}, number = {3}, pages = {149--151}, issn = {0249-6291}, mrclass = {43A46}, mrnumber = {693188} } @article{bourgain:83:theorem, author = {Bourgain, J.}, title = {A theorem on interpolating sequences in the disc}, journal = {Simon Stevin}, fjournal = {Simon Stevin. A Quarterly Journal of Pure and Applied Mathematics}, volume = {57}, year = {1983}, number = {1-2}, pages = {145--155}, issn = {0037-5454}, mrclass = {30E05 (46J15)}, mrnumber = {702329}, mrreviewer = {Arne\ Stray} } @article{bourgain:84:bilinear, author = {Bourgain, J.}, title = {Bilinear forms on {$H\sp{infty }$} and bounded bianalytic functions}, journal = {Trans. Amer. Math. Soc.}, fjournal = {Transactions of the American Mathematical Society}, volume = {286}, year = {1984}, number = {1}, pages = {313--337}, issn = {0002-9947,1088-6850}, mrclass = {46J15 (46E15 47B10)}, mrnumber = {756042}, mrreviewer = {S.\ V.\ Kislyakov}, doi = {10.2307/1999408}, url = {https://doi.org/10.2307/1999408} } @article{bourgain:84:dimension, author = {Bourgain, J.}, title = {The dimension conjecture for polydisc algebras}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {48}, year = {1984}, number = {4}, pages = {289--304}, issn = {0021-2172}, mrclass = {46J15 (30H05 32A35)}, mrnumber = {776311}, mrreviewer = {P.\ Wojtaszczyk}, doi = {10.1007/BF02760630}, url = {https://doi.org/10.1007/BF02760630} } @article{bourgain:84:dunford-pettis, author = {Bourgain, J.}, title = {The {D}unford-{P}ettis property for the ball-algebras, the polydisc-algebras and the {S}obolev spaces}, journal = {Studia Math.}, fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica}, volume = {77}, year = {1984}, number = {3}, pages = {245--253}, issn = {0039-3223,1730-6337}, mrclass = {46B99 (46E15 46J15)}, mrnumber = {745280}, mrreviewer = {H.\ H.\ McFaden}, doi = {10.4064/sm-77-3-246-253}, url = {https://doi.org/10.4064/sm-77-3-246-253} } @article{bourgain:84:extension, author = {Bourgain, J.}, title = {Extension of a result of {B}enedek, {C}alder\'{o}n and {P}anzone}, journal = {Ark. Mat.}, fjournal = {Arkiv f\"{o}r Matematik}, volume = {22}, year = {1984}, number = {1}, pages = {91--95}, issn = {0004-2080,1871-2487}, mrclass = {47B38 (42B20 46E40)}, mrnumber = {735880}, mrreviewer = {S.\ V.\ Khrushch\"{e}v}, doi = {10.1007/BF02384373}, url = {https://doi.org/10.1007/BF02384373} } @article{bourgain:84:l1, author = {Bourgain, J.}, title = {{$l\sp{1}$} sequences generated by {S}idon sets}, journal = {J. London Math. Soc. (2)}, fjournal = {Journal of the London Mathematical Society. Second Series}, volume = {29}, year = {1984}, number = {2}, pages = {283--288}, issn = {0024-6107,1469-7750}, mrclass = {43A46}, mrnumber = {744099}, doi = {10.1112/jlms/s2-29.2.283}, url = {https://doi.org/10.1112/jlms/s2-29.2.283} } @incollection{bourgain:84:martingale, author = {Bourgain, J.}, title = {Martingale transforms and geometry of {B}anach spaces}, booktitle = {Israel seminar on geometrical aspects of functional analysis (1983/84)}, pages = {XIV, 16}, publisher = {Tel Aviv Univ., Tel Aviv}, year = {1984}, mrclass = {60G46 (46B20)}, mrnumber = {827292}, mrreviewer = {L.\ Egghe} } @article{bourgain:84:new, author = {Bourgain, J.}, title = {New {B}anach space properties of the disc algebra and {$H\sp{infty }$}}, journal = {Acta Math.}, fjournal = {Acta Mathematica}, volume = {152}, year = {1984}, number = {1-2}, pages = {1--48}, issn = {0001-5962,1871-2509}, mrclass = {46J15 (30D55 46B20 46E15)}, mrnumber = {736210}, mrreviewer = {S.\ V.\ Kislyakov}, doi = {10.1007/BF02392189}, url = {https://doi.org/10.1007/BF02392189} } @inproceedings{bourgain:84:new*1, author = {Bourgain, J.}, title = {New {B}anach space properties of certain spaces of analytic functions}, booktitle = {Proceedings of the {I}nternational {C}ongress of {M}athematicians, {V}ol. 1, 2 ({W}arsaw, 1983)}, pages = {945--951}, publisher = {PWN, Warsaw}, year = {1984}, isbn = {83-01-05523-5}, mrclass = {46J15 (46B25 46E15)}, mrnumber = {804748} } @inproceedings{bourgain:84:on, author = {Bourgain, J.}, title = {On nonisomorphisms of algebras of analytic functions}, booktitle = {Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics ({L}eipzig, 1983)}, series = {Teubner-Texte Math.}, volume = {67}, pages = {145--154}, publisher = {Teubner, Leipzig}, year = {1984}, mrclass = {46J15 (32E25)}, mrnumber = {763536} } @article{bourgain:84:on*1, author = {Bourgain, J.}, title = {On martingales transforms in finite-dimensional lattices with an appendix on the {$K$}-convexity constant}, journal = {Math. Nachr.}, fjournal = {Mathematische Nachrichten}, volume = {119}, year = {1984}, pages = {41--53}, issn = {0025-584X,1522-2616}, mrclass = {47B37 (44A15 46B20 60G46)}, mrnumber = {774175}, mrreviewer = {D.\ L.\ Burkholder}, doi = {10.1002/mana.19841190104}, url = {https://doi.org/10.1002/mana.19841190104} } @article{bourgain:84:on*2, author = {Bourgain, J.}, title = {On bases in the disc algebra}, journal = {Trans. Amer. Math. Soc.}, fjournal = {Transactions of the American Mathematical Society}, volume = {285}, year = {1984}, number = {1}, pages = {133--139}, issn = {0002-9947,1088-6850}, mrclass = {46J15 (46B15 46E15)}, mrnumber = {748834}, mrreviewer = {Jacques\ Mayer}, doi = {10.2307/1999476}, url = {https://doi.org/10.2307/1999476} } @incollection{bourgain:84:propriete, author = {Bourgain, Jean}, title = {Propri\'{e}t\'{e} d'{O}rlicz et ensembles de {S}idon}, booktitle = {Harmonic analysis: study group on translation-invariant {B}anach spaces}, series = {Publ. Math. Orsay}, volume = {84-1}, pages = {Exp. No. 3, 10}, publisher = {Univ. Paris XI, Orsay}, year = {1984}, mrclass = {43A46}, mrnumber = {740714} } @article{bourgain:84:some, author = {Bourgain, J.}, title = {Some properties of sets satisfying {$A(E)=B_0(E)$}}, journal = {Bull. Soc. Math. Belg. S\'{e}r. B}, fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de Belgique. S\'{e}rie B}, volume = {36}, year = {1984}, pages = {171--191}, issn = {0037-9476}, mrclass = {43A46}, mrnumber = {777195}, mrreviewer = {Colin\ C.\ Graham} } @incollection{bourgain:84:sur, author = {Bourgain, Jean}, title = {Sur le minimum de certaines sommes de cosinus}, booktitle = {Harmonic analysis: study group on translation-invariant {B}anach spaces}, series = {Publ. Math. Orsay}, volume = {84-1}, pages = {Exp. No. 2, 7}, publisher = {Univ. Paris XI, Orsay}, year = {1984}, mrclass = {11L03 (42A32)}, mrnumber = {740713} } @incollection{bourgain:84:sur*1, author = {Bourgain, J.}, title = {Sur l'approximation dans {$H^infty$}}, booktitle = {Seminar on the geometry of {B}anach spaces, {V}ol. {I}, {II} ({P}aris, 1983)}, series = {Publ. Math. Univ. Paris VII}, volume = {18}, pages = {235--254}, publisher = {Univ. 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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{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. 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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.molchanov:94:parabolic, author = {Carmona, Ren\'{e} A. and Molchanov, S. 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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. 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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. 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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. 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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. 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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{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. 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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.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} } @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: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: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:23:on, title = {On the radius of self-repellent fractional Brownian motion}, author = {Le Chen and Sefika Kuzgun and Carl Mueller and Panqiu Xia}, year = {2023}, month = {August}, journal = {preprint arXiv:2308.10889, to appear in J. Statist. Phys.}, url = {http://arXiv.org/abs/2308.10889} } @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} } @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.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}, url = {http://arXiv.org/abs/2308.10802} } @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.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}, 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.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: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: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. 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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 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:20:stochastic*1, 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: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, 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:16:kardar-parisi-zhang*1, 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: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. 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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. 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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. 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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. 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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} } @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.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{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{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. 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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.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: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.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.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} } @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} } @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{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} } @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. 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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} } @incollection{dalang.leveque:04:second-order, 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:04:second-order*1, 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. 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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. 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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. 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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.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. 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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. 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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. 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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. 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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. 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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. 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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. 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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{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} } @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: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-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} } @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. 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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. 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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.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.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. 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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} } @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.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} } @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} } @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. 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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.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.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:matching, author = {Hu, Yaozhong and Wang, Xiong}, title = {Matching upper and lower moment bounds for a large class of stochastic {PDEs} driven by general space-time {G}aussian noises}, journal = {Stoch. Partial Differ. Equ. Anal. Comput.}, year = {2022}, url = {https://doi.org/10.1007/s40072-022-00278-2} } @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.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 spatially correlated noise}, journal = {Ann. Inst. Henri Poincar\'{e} Probab. 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Borkar}, doi = {10.1007/978-3-642-23280-0}, url = {https://doi.org/10.1007/978-3-642-23280-0} } @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: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.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. 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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. 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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.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. 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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} } @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{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. 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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. 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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 = {http://links.jstor.org/sici?sici=0091-1798(199310)21:4<2189:CAIMFT>2.0.CO;2-L&origin=MSN} } @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} } @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{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{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} } @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}. 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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} } @incollection{nualart.ustunel.ea:90:some, 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.ea:90:some*1, 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} } @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 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}} } @inproceedings{nualart:77:on*1, 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} } @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. 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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{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.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} } @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. 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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.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. 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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. 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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:19:superlinear, author = {Quittner, Pavol and Souplet, Philippe}, title = {Superlinear parabolic problems}, series = {Birkh\"{a}user Advanced Texts: Basler Lehrb\"{u}cher. 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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} } @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} } @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{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. 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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. {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:93:large*1, 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: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{seroussi.zeitouni:22:lower, author = {Seroussi, Inbar and Zeitouni, Ofer}, title = {Lower bounds on the generalization error of nonlinear learning models}, journal = {IEEE Trans. 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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. 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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 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} } @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} } @article{spitzer:75:random, 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} } @inproceedings{spitzer:75:random*1, 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} } @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} } @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} } @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} } @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. 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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{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{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 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:on*1, 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: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 {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:10:formulas*1, 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: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. 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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. 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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. 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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. 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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: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. 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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. 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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. 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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{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}, 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} } @book{zabczyk:20:mathematical*1, 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} } @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} } @incollection{zabczyk:75:note, 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:note*1, 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*2, 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} } @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. 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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. 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