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Soc.}, volume = {502}, number = {3}, pages = {4048--4063}, year = {2021}, } @ARTICLE{Hoekstra:2021plm, author = {Hoekstra, Henk}, title = {{A} fully data-driven algorithm for accurate shear estimation}, eprint = {2108.10057}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1051/0004-6361/202141670}, journal = {Astron. Astrophys.}, volume = {656}, pages = {A135}, year = {2021}, } @ARTICLE{Evans:2021gyd, author = {Evans, Matthew and others}, title = {{A} {H}orizon {S}tudy for {C}osmic {E}xplorer: {S}cience, {O}bservatories, and {C}ommunity}, eprint = {2109.09882}, archiveprefix = {arXiv}, primaryclass = {astro-ph.IM}, reportnumber = {CE-P2100003-v7, Cosmic Explorer technical report CE-P2100003-v6}, month = {9}, year = {2021}, journal = {}, } @ARTICLE{Jani:2020gnz, author = {Jani, Karan and Loeb, Abraham}, title = {{G}ravitational-{W}ave {L}unar {O}bservatory for {C}osmology}, eprint = {2007.08550}, archiveprefix = {arXiv}, primaryclass = {gr-qc}, doi = {10.1088/1475-7516/2021/06/044}, month = {7}, year = {2020}, journal = {}, } @ARTICLE{Fabre:2013wia, author = {{Fabre}, Oph{\'e}lia and {Prunet}, Simon and {Uzan}, Jean-Philippe}, title = {{T}opology beyond the horizon: {H}ow far can it be probed?}, journal = {Phys. Rev. D}, keywords = {98.80.-k, 12.60.-i, 98.80.Jk, Cosmology, Models beyond the standard model, Mathematical and relativistic aspects of cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics}, year = {2015}, month = {August}, volume = {92}, number = {4}, eid = {043003}, pages = {043003}, doi = {10.1103/PhysRevD.92.043003}, archiveprefix = {arXiv}, eprint = {1311.3509}, primaryclass = {astro-ph.CO}, adsurl = {https://ui.adsabs.harvard.edu/abs/2015PhRvD..92d3003F}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, } @ARTICLE{Petersen:2023a, author = {{Petersen}, Pip and {Akrami}, Yashar and {Copi}, Craig J. and {Jaffe}, Andrew H. and {Kosowsky}, Arthur and {Starkman}, Glenn D. and {Tamosiunas}, Andrius and {Eskilt}, Johannes R. and {G{\"u}ng{\"o}r}, {\"O}zen{\c{c}} and {Saha}, Samanta and {Taylor}, Quinn and {Compact Collaboration}}, title = {{C}osmic topology. {P}art {I}. {L}imits on orientable {E}uclidean manifolds from circle searches}, journal = {JCAP}, keywords = {CMBR theory, cosmological parameters from {CMB}R, cosmology of theories beyond the SM, physics of the early universe, Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology, High Energy Physics - Theory}, year = {2023}, month = {January}, volume = {2023}, number = {1}, eid = {030}, pages = {030}, doi = {10.1088/1475-7516/2023/01/030}, archiveprefix = {arXiv}, eprint = {2211.02603}, primaryclass = {astro-ph.CO}, adsurl = {https://ui.adsabs.harvard.edu/abs/2023JCAP...01..030P}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, } @UNPUBLISHED{Petersen:2023b, author = {Petersen, Pip and the COMPACT collaboration}, title = {{C}osmic topology. {P}art {I}. {L}imits on non-orientable {E}uclidean manifolds from circle searches}, year = {2023}, note = {in preparation}, journal = {}, } @UNPUBLISHED{Eskilt:2023, author = {Eskilt, Johannes R. and the COMPACT collaboration}, title = {{E}igenmodes and correlation matrices of orientable {E}uclidean manifolds}, year = {2023}, note = {in preparation}, journal = {}, } @UNPUBLISHED{Anselmi:2023, author = {Anselmi, Stefano and the COMPACT collaboration}, title = {{T}opological {C}orrelations from {O}bservations of {L}arge-{S}cale {S}tructure}, year = {2023}, note = {in preparation}, journal = {}, } @ARTICLE{Cornish:1996kv, author = {Cornish, Neil J. and Spergel, David N. and Starkman, Glenn D.}, title = {{C}ircles in the {S}ky: {F}inding {T}opology with the {M}icrowave {B}ackground {R}adiation}, eprint = {gr-qc/9602039}, archiveprefix = {arXiv}, reportnumber = {CWRU-P1-96}, journal = {}, month = {2}, year = {1996}, } @ARTICLE{Cornish:1997hz, author = {Cornish, Neil J. and Spergel, David and Starkman, Glenn}, title = {{C}an {COBE} see the shape of the universe?}, eprint = {astro-ph/9708225}, archiveprefix = {arXiv}, reportnumber = {DAMTP-R-97-12}, doi = {10.1103/PhysRevD.57.5982}, journal = {Phys. Rev. D}, volume = {57}, pages = {5982--5996}, year = {1998}, } @ARTICLE{Cornish:1997rp, author = {Cornish, Neil J. and Spergel, David N. and Starkman, Glenn D.}, title = {{M}easuring the topology of the universe}, eprint = {astro-ph/9708083}, archiveprefix = {arXiv}, doi = {10.1073/pnas.95.1.82}, journal = {Proc. Nat. Acad. Sci.}, volume = {95}, pages = {82}, year = {1998}, } @MISC{Starkman_Priv_Comm, author = {Vaudrevange, Pascal M. and Starkman, Glenn D. and Cornish, Neil J. and Spergel, David N.}, howpublished = {Private Communication}, year = {2013}, comment = {no significant improvement on WMAP results}, title = {{M}easuring the topology of the universe}, } @MISC{arthive, title = {{F}lying fish (no. 73), 1949 by {M}aurits {C}ornelis {E}scher: {H}istory, {A}nalysis \& {F}acts}, url = {https://arthive.com/escher/works/200144~Flying_Fish_No_73}, journal = {Arthive}, } @ARTICLE{Lehoucq:1996qe, author = {Lehoucq, R. and Lachieze-Rey, M. and Luminet, J. P.}, title = {{C}osmic crystallography}, eprint = {gr-qc/9604050}, archiveprefix = {arXiv}, reportnumber = {FPRINT-95-21}, journal = {Astron. Astrophys.}, volume = {313}, pages = {339--346}, year = {1996}, } @ARTICLE{Fujii:2013xsa, author = {Fujii, Hirokazu and Yoshii, Yuzuru}, title = {{A} search for nontoroidal topological lensing in the {S}loan {D}igital {S}ky {S}urvey quasar catalog}, eprint = {1306.2737}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1088/0004-637X/773/2/152}, journal = {Astrophys. J.}, volume = {773}, pages = {152}, year = {2013}, } @ARTICLE{Fujii:2011ga, author = {Fujii, Hirokazu and Yoshii, Yuzuru}, title = {{A}n improved cosmic crystallography method to detect holonomies in flat spaces}, eprint = {1103.1466}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1051/0004-6361/201116521}, journal = {Astron. Astrophys.}, volume = {529}, pages = {A121}, year = {2011}, } @UNPUBLISHED{Eskilt:2022tbd, author = {Eskilt, J. R. and the COMPACT collaboration}, title = {{E}igenmodes and correlation matrices of {E}uclidean manifolds}, year = {2022}, note = {in preparation}, journal = {}, } @ARTICLE{COMPACT:2023rkp, author = {Eskilt, Johannes R. and others}, collaboration = {COMPACT}, title = {{C}osmic topology. {P}art~{II}a. {E}igenmodes, correlation matrices, and detectability of orientable~{E}uclidean manifolds}, eprint = {2306.17112}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, reportnumber = {IFT-UAM/CSIC-23-75}, doi = {10.1088/1475-7516/2024/03/036}, journal = {JCAP}, volume = {03}, pages = {036}, year = {2024}, } @ARTICLE{Thurston1982ThreeDM, author = {Thurston, William P.}, title = {{T}hree dimensional manifolds, {K}leinian groups and hyperbolic geometry}, journal = {Bulletin of the American Mathematical Society}, year = {1982}, volume = {6}, pages = {357-381}, } @ARTICLE{HAWKING1978349, author = {Hawking, S.W.}, title = {{S}pacetime foam}, journal = {Nuclear Physics B}, volume = {144}, number = {2}, pages = {349-362}, year = {1978}, issn = {0550-3213}, doi = {https://doi.org/10.1016/0550-3213(78)90375-9}, url = {https://www.sciencedirect.com/science/article/pii/0550321378903759}, abstract = {The Einstein Lagrangian allows large fluctuations of the metric and topology of spacetime on scales of order of the Planck length. This foam-like structure can be described by introducing a Λ term as a Lagrange multiplier for the 4-volume. The dominant contribution to the path integral seems to come from metrics which have about one unit of topology per Planck volume.}, } @ARTICLE{Petersen_2023, author = {Petersen, Pip and Akrami, Yashar and Copi, Craig J. and Jaffe, Andrew H. and Kosowsky, Arthur and Starkman, Glenn D. and Tamosiunas, Andrius and Eskilt, Johannes R. and G\"{u}ng\"{o}r, \"{O}. and Saha, Samanta and Taylor, Quinn and collaboration, The COMPACT}, doi = {10.1088/1475-7516/2023/01/030}, url = {https://dx.doi.org/10.1088/1475-7516/2023/01/030}, year = {2023}, month = {jan}, publisher = {IOP Publishing}, volume = {2023}, number = {01}, pages = {030}, title = {{C}osmic topology. {P}art {I}. {L}imits on orientable {E}uclidean manifolds from circle searches}, journal = {Journal of Cosmology and Astroparticle Physics}, abstract = {The Einstein field equations of general relativity constrain the local curvature at every point in spacetime, but say nothing about the global topology of the Universe. Cosmic microwave background anisotropies have proven to be the most powerful probe of non-trivial topology since, within ΛCDM, these anisotropies have well-characterized statistical properties, the signal is principally from a thin spherical shell centered on the observer (the last scattering surface), and space-based observations nearly cover the full sky. The most generic signature of cosmic topology in the microwave background is pairs of circles with matching temperature and polarization patterns. No such circle pairs have been seen above noise in the WMAP or Planck temperature data, implying that the shortest non-contractible loop around the Universe through our location is longer than 98.5% of the comoving diameter of the last scattering surface. We translate this generic constraint into limits on the parameters that characterize manifolds with each of the nine possible non-trivial orientable Euclidean topologies, and provide a code which computes these constraints. In all but the simplest cases, the shortest non-contractible loop in the space can avoid us, and be shorter than the diameter of the last scattering surface by a factor ranging from 2 to at least 6. This result implies that a broader range of manifolds is observationally allowed than widely appreciated. Probing these manifolds will require more subtle statistical signatures than matched circles, such as off-diagonal correlations of harmonic coefficients.}, } @ARTICLE{akrami2023search, author = {Akrami, Yashar and Anselmi, Stefano and Copi, Craig J. and Eskilt, Johannes R. and Jaffe, Andrew H. and Kosowsky, Arthur and Petersen, Pip and Starkman, Glenn D. and Gonz\'{a}lez-Quesada, Kevin and G\"{u}ng\"{o}r, \"{O}. and Saha, Samanta and Tamosiunas, Andrius and Taylor, Quinn and Vardanyan, Valeri}, title = {{T}he {S}earch for the {T}opology of the {U}niverse {H}as {J}ust {B}egun}, year = {2023}, eprint = {2210.11426}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, } @ARTICLE{Einstein:1916vd, author = {Einstein, Albert}, editor = {Hsu, Jong-Ping and Fine, D.}, title = {{T}he {F}oundation of the {G}eneral {T}heory of {R}elativity}, doi = {10.1002/andp.19163540702}, journal = {Annalen Phys.}, volume = {49}, number = {7}, pages = {769--822}, year = {1916}, } @ARTICLE{Einstein:1917ce, author = {Einstein, Albert}, title = {{C}osmological {C}onsiderations in the {G}eneral {T}heory of {R}elativity}, journal = {Sitzungsber. 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D}, keywords = {98.80.-k, 07.05.Kf, 98.70.Vc, Cosmology, Data analysis: algorithms and implementation, data management, Background radiations, Astrophysics - Cosmology and Extragalactic Astrophysics}, year = {2012}, month = {October}, volume = {86}, number = {7}, eid = {076005}, pages = {076005}, doi = {10.1103/PhysRevD.86.076005}, archiveprefix = {arXiv}, eprint = {1207.5344}, primaryclass = {astro-ph.CO}, adsurl = {https://ui.adsabs.harvard.edu/abs/2012PhRvD..86g6005G}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, } @BOOK{Weinberg:2008, author = {Weinberg, Steven}, title = {{C}osmology}, isbn = {978-0-19-852682-7}, year = {2008}, publisher = {OUP Oxford}, } @ARTICLE{aghanim2020planck, author = {Aghanim, Nabila and Akrami, Yashar and Ashdown, Mark and Aumont, Jonathan and Baccigalupi, Carlo and Ballardini, Mario and Banday, Anthony J and Barreiro, RB and Bartolo, N and Basak, S and others}, title = {{P}lanck 2018 results-{VI}. {C}osmological parameters}, journal = {Astronomy \& Astrophysics}, volume = {641}, pages = {A6}, year = {2020}, publisher = {EDP sciences}, } @ARTICLE{Cai:2016ihp, author = {Cai, Yong and Wang, Yu-Tong and Piao, Yun-Song}, title = {{C}hirality oscillation of primordial gravitational waves during inflation}, eprint = {1608.06508}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1007/JHEP03(2017)024}, journal = {JHEP}, volume = {03}, pages = {024}, year = {2017}, } @ARTICLE{Takahashi:2009wc, author = {Takahashi, Tomohiro and Soda, Jiro}, title = {{C}hiral {P}rimordial {G}ravitational {W}aves from a {L}ifshitz {P}oint}, eprint = {0904.0554}, archiveprefix = {arXiv}, primaryclass = {hep-th}, doi = {10.1103/PhysRevLett.102.231301}, journal = {Phys. Rev. Lett.}, volume = {102}, pages = {231301}, year = {2009}, } @ARTICLE{Fujita:2022qlk, author = {Fujita, Tomohiro and Minami, Yuto and Shiraishi, Maresuke and Yokoyama, Shuichiro}, title = {{C}an primordial parity violation explain the observed cosmic birefringence?}, eprint = {2208.08101}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1103/PhysRevD.106.103529}, journal = {Phys. Rev. D}, volume = {106}, number = {10}, pages = {103529}, year = {2022}, } @ARTICLE{Eskilt:2022cff, author = {Eskilt, Johannes R. and Komatsu, Eiichiro}, title = {{I}mproved constraints on cosmic birefringence from the {WMAP} and {P}lanck cosmic microwave background polarization data}, eprint = {2205.13962}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1103/PhysRevD.106.063503}, journal = {Phys. Rev. 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Brent}, title = {{A}nalysing the large-scale bulk flow using cosmicflows4: increasing tension with the standard cosmological model}, eprint = {2302.02028}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1093/mnras/stad1984}, journal = {Mon. Not. Roy. Astron. Soc.}, volume = {524}, number = {2}, pages = {1885--1892}, year = {2023}, } @ARTICLE{Hu:2000ee, author = {Hu, Wayne}, title = {{W}eak lensing of the {CMB}: {A} harmonic approach}, eprint = {astro-ph/0001303}, archiveprefix = {arXiv}, doi = {10.1103/PhysRevD.62.043007}, journal = {Phys. Rev. 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D}, volume = {77}, pages = {023525}, year = {2008}, } @ARTICLE{Kitajima2022, author = {Kitajima, Naoya and Kozai, Fumiaki and Takahashi, Fuminobu and Yin, Wen}, doi = {10.1088/1475-7516/2022/10/043}, url = {https://dx.doi.org/10.1088/1475-7516/2022/10/043}, year = {2022}, month = {oct}, publisher = {IOP Publishing}, volume = {2022}, number = {10}, pages = {043}, title = {{P}ower spectrum of domain-wall network, and its implications for isotropic and anisotropic cosmic birefringence}, journal = {Journal of Cosmology and Astroparticle Physics}, abstract = {Recently, based on a novel analysis of the Planck satellite data, a hint of a uniform rotation of the polarization of cosmic microwave background photons, called isotropic cosmic birefringence, has been reported. The suggested rotation angle of polarization of about 0.2–0.4 degrees is close to the fine-structure constant, α ≃ 1/137 rad ≃ 0.42 deg. Interestingly, this coincidence can be naturally explained over a very wide parameter range by the domain walls of axion-like particles. Furthermore, the axion-like particle domain walls predict not only isotropic cosmic birefringence but also anisotropic one that reflects the spatial distribution of the axion-like particle field on the last scattering surface. In this paper, we perform lattice simulations of the formation and evolution of domain walls in the expanding universe and obtain for the first time the two-point correlation function and power spectrum of the scalar field that constitutes the domain walls. We find that for initial fluctuations at subhorizon scales, the power spectrum is roughly consistent with analytical predictions based on random wall distributions. However, there is some excess at scales corresponding to the Hubble radius. Applying our results to the anisotropic cosmic birefringence, we predict the power spectrum of the rotation angles induced by the axion-like particle domain walls for the similar initial condition, and show that it is within reach of future observations of the cosmic microwave background.}, } @MISC{namikawa2024, author = {Namikawa, Toshiya}, title = {{E}xact {CMB} {B}-mode power spectrum from anisotropic cosmic birefringence}, year = {2024}, eprint = {2404.13771}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, url = {https://arxiv.org/abs/2404.13771}, } @ARTICLE{nakatsuka2022, author = {Nakatsuka, Hiromasa and Namikawa, Toshiya and Komatsu, Eiichiro}, title = {{I}s cosmic birefringence due to dark energy or dark matter? {A} tomographic approach}, journal = {Phys. Rev. D}, volume = {105}, issue = {12}, pages = {123509}, numpages = {11}, year = {2022}, month = {Jun}, publisher = {American Physical Society}, doi = {10.1103/PhysRevD.105.123509}, url = {https://link.aps.org/doi/10.1103/PhysRevD.105.123509}, } @ARTICLE{Guandalin:2022tyl, author = {Guandalin, Caroline and Piat, Jade and Clarkson, Chris and Maartens, Roy}, title = {{T}heoretical {S}ystematics in {T}esting the {C}osmological {P}rinciple with the {K}inematic {Q}uasar {D}ipole}, eprint = {2212.04925}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.3847/1538-4357/acdf46}, journal = {Astrophys. J.}, volume = {953}, number = {2}, pages = {144}, year = {2023}, } @ARTICLE{vonHausegger:2024jan, author = {von Hausegger, Sebastian}, title = {{T}he expected kinematic matter dipole is robust against source evolution}, eprint = {2404.07929}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, month = {4}, year = {2024}, } @ARTICLE{Zagatti:2024jxm, author = {Zagatti, G. and Bortolami, M. and Gruppuso, A. and Natoli, P. and Pagano, L. and Fabbian, G.}, title = {{P}lanck constraints on cosmic birefringence and its cross-correlation with the {CMB}}, eprint = {2401.11973}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1088/1475-7516/2024/05/034}, journal = {JCAP}, volume = {05}, pages = {034}, year = {2024}, } @ARTICLE{Tsagas:2007yx, author = {Tsagas, Christos G. and Challinor, Anthony and Maartens, Roy}, title = {{R}elativistic cosmology and large-scale structure}, eprint = {0705.4397}, archiveprefix = {arXiv}, primaryclass = {astro-ph}, doi = {10.1016/j.physrep.2008.03.003}, journal = {Phys. Rept.}, volume = {465}, pages = {61--147}, year = {2008}, } @ARTICLE{Brechet:2009fa, author = {Brechet, Sylvain D. and Hobson, Michael P. and Lasenby, Anthony N.}, title = {{F}irst-order adiabatic perturbations of a perfect fluid about a general {FLRW} background using the 1+3 covariant and gauge-invariant formalism}, eprint = {0909.5384}, archiveprefix = {arXiv}, primaryclass = {gr-qc}, month = {9}, year = {2009}, } @ARTICLE{COMPACT:2024dqe, author = {Tamosiunas, Andrius and others}, collaboration = {COMPACT}, title = {{C}osmic topology. {P}art~{IV}a. {C}lassification of manifolds using machine learning: a case study with small toroidal universes}, eprint = {2404.01236}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, reportnumber = {IFT-UAM/CSIC-24-47}, doi = {10.1088/1475-7516/2024/09/057}, journal = {JCAP}, volume = {09}, pages = {057}, year = {2024}, } @ARTICLE{COMPACT:2024qni, author = {Saha, Samanta and others}, collaboration = {COMPACT}, title = {{C}osmic topology. {P}art {I}c. {L}imits on lens spaces from circle searches}, eprint = {2409.02226}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, reportnumber = {IFT-UAM/CSIC-24-118}, doi = {10.1088/1475-7516/2025/01/004}, journal = {JCAP}, volume = {01}, pages = {004}, year = {2025}, } @UNPUBLISHED{COMPACT3c, author = {Samandar, Amirhossein and others}, collaboration = {COMPACT}, title = {{C}osmic topology. {P}art {III}c. {C}orrelation matrices of microwave background observables and detectability of orientable {E}uclidean manifolds}, note = {In preparation}, } @ARTICLE{Jones:2023ncn, author = {Jones, Joann and Copi, Craig J. and Starkman, Glenn D. and Akrami, Yashar}, title = {{T}he {U}niverse is not statistically isotropic}, eprint = {2310.12859}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, month = {10}, year = {2023}, } @ARTICLE{schwarzschild1900ueber, author = {Schwarzschild, K}, title = {{U}eber das zul{\"a}ssige {K}r{\"u}mmunsmass des {R}aumes. {V}ierteljahrssch. {A}str. {G}es}, year = {1900}, } @ARTICLE{schwarzschild1998permissible, author = {Schwarzschild, Karl}, title = {{O}n the permissible curvature of space}, journal = {Classical and Quantum Gravity}, volume = {15}, number = {9}, pages = {2539--2544}, year = {1998}, publisher = {Bristol, England: Institute of Physics, 1984-}, } @ARTICLE{COMPACT:2024cud, author = {Samandar, Amirhossein and others}, collaboration = {COMPACT}, title = {{C}osmic topology. {P}art {III}a. {M}icrowave background parity violation without parity-violating microphysics}, eprint = {2407.09400}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, reportnumber = {IFT-UAM/CSIC-24-104}, doi = {10.1088/1475-7516/2024/11/020}, journal = {JCAP}, volume = {11}, pages = {020}, year = {2024}, } @ARTICLE{Bessada:2009np, author = {Bessada, Dennis and Miranda, Oswaldo D.}, title = {{CMB} anisotropies induced by tensor modes in massive gravity}, eprint = {0908.1360}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1088/1475-7516/2009/08/033}, journal = {JCAP}, volume = {08}, pages = {033}, year = {2009}, } @ARTICLE{Taurus:2024dyi, author = {May, Jared L. and others}, collaboration = {Taurus}, title = {{I}nstrument overview of {T}aurus: a balloon-borne {CMB} and dust polarization experiment}, eprint = {2407.01438}, archiveprefix = {arXiv}, primaryclass = {astro-ph.IM}, doi = {10.1117/12.3019051}, journal = {Proc. SPIE Int. Soc. Opt. Eng.}, volume = {13094}, pages = {1309432}, year = {2024}, } @ARTICLE{Kosowsky:1994cy, author = {Kosowsky, Arthur}, title = {{C}osmic microwave background polarization}, eprint = {astro-ph/9501045}, archiveprefix = {arXiv}, reportnumber = {FERMILAB-PUB-94-206-A}, doi = {10.1006/aphy.1996.0020}, journal = {Annals Phys.}, volume = {246}, pages = {49--85}, year = {1996}, } @UNPUBLISHED{COMPACT:2023tbd, author = {Mihaylov, Deyan P. and others}, collaboration = {COMPACT}, title = {{C}osmic topology. {P}art~{I}b. {L}imits on flat {E}uclidean manifolds from circle searches}, year = {2024}, note = {In preparation}, } @ARTICLE{Brian_Pitts_2012, author = {Brian Pitts, J.}, title = {{T}he nontriviality of trivial general covariance: {H}ow electrons restrict time coordinates, spinors (almost) fit into tensor calculus, and of a tetrad is surplus structure}, volume = {43}, number = {1}, journal = {Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics}, publisher = {Elsevier BV}, year = {2012}, month = {February}, pages = {1-24}, } @ARTICLE{EuclidTheoryWorkingGroup:2012gxx, author = {Amendola, Luca and others}, collaboration = {Euclid Theory Working Group}, title = {{C}osmology and fundamental physics with the {E}uclid satellite}, eprint = {1206.1225}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.12942/lrr-2013-6}, journal = {Living Rev. Rel.}, volume = {16}, pages = {6}, year = {2013}, } @ARTICLE{Amendola:2016saw, author = {Amendola, Luca and others}, title = {{C}osmology and fundamental physics with the {E}uclid satellite}, eprint = {1606.00180}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1007/s41114-017-0010-3}, journal = {Living Rev. Rel.}, volume = {21}, number = {1}, pages = {2}, year = {2018}, } @ARTICLE{Linde:2004nz, author = {Linde, Andrei D.}, title = {{C}reation of a compact topologically nontrivial inflationary universe}, eprint = {hep-th/0408164}, archiveprefix = {arXiv}, doi = {10.1088/1475-7516/2004/10/004}, journal = {JCAP}, volume = {10}, pages = {004}, year = {2004}, } @UNPUBLISHED{Copi:2023, author = {Copi, Craig J. and the COMPACT collaboration}, title = {{E}igenmodes and correlation matrices of non-orientable {E}uclidean manifolds}, year = {2023}, note = {in preparation}, journal = {}, } @ARTICLE{2007A&A...463..861R, author = {{Roukema}, B. F. and {Bajtlik}, S. and {Biesiada}, M. and {Szaniewska}, A. and {Jurkiewicz}, H.}, title = {{A} weak acceleration effect due to residual gravity in a multiply connected universe}, journal = {A.\&A.}, keywords = {gravitation, cosmology: theory, cosmology: cosmological parameters, Astrophysics, General Relativity and Quantum Cosmology}, year = {2007}, month = {March}, volume = {463}, number = {3}, pages = {861-871}, doi = {10.1051/0004-6361:20064979}, archiveprefix = {arXiv}, eprint = {astro-ph/0602159}, primaryclass = {astro-ph}, adsurl = {https://ui.adsabs.harvard.edu/abs/2007A&A...463..861R}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, } @ARTICLE{2023PhRvD.107f3545V, author = {{Vigneron}, Quentin and {Roukema}, Boudewijn F.}, title = {{G}ravitational potential in spherical topologies}, journal = {Phys. Rev. D}, keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology}, year = {2023}, month = {March}, volume = {107}, number = {6}, eid = {063545}, pages = {063545}, doi = {10.1103/PhysRevD.107.063545}, archiveprefix = {arXiv}, eprint = {2201.09102}, primaryclass = {astro-ph.CO}, adsurl = {https://ui.adsabs.harvard.edu/abs/2023PhRvD.107f3545V}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, } @ARTICLE{1946PhRv...70..410I, author = {{Infeld}, L. and {Schild}, A. 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A.}, title = {{N}ew restrictions on spatial topology of the universe from microwave background temperature fluctuations.}, journal = {Soviet Journal of Experimental and Theoretical Physics Letters}, keywords = {General Relativity and Quantum Cosmology, Astrophysics}, year = {1993}, month = {May}, volume = {57}, number = {10}, pages = {622-625}, doi = {10.48550/arXiv.gr-qc/9305019}, archiveprefix = {arXiv}, eprint = {gr-qc/9305019}, primaryclass = {gr-qc}, adsurl = {https://ui.adsabs.harvard.edu/abs/1993JETPL..57..622S}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, } @ARTICLE{Barrow:1976rda, author = {Barrow, J.}, title = {{L}ight elements and the isotropy of the {U}niverse}, journal = {Mon. Not. Roy. Astron. Soc.}, volume = {175}, pages = {359--370}, year = {1976}, } @ARTICLE{Bridges:2006mt, author = {Bridges, Michael and McEwen, J. D. and Lasenby, A. N. and Hobson, M. P.}, title = {{M}arkov chain {M}onte {C}arlo analysis of {B}ianchi {VII}(h) models}, eprint = {astro-ph/0605325}, archiveprefix = {arXiv}, doi = {10.1111/j.1365-2966.2007.11616.x}, journal = {Mon. Not. Roy. Astron. Soc.}, volume = {377}, pages = {1473--1480}, year = {2007}, } @ARTICLE{COMPACT:2023_paper2A, author = {Eskilt, Johannes R. and others}, collaboration = {COMPACT}, title = {{C}osmic topology. {P}art~{II}a. {E}igenmodes, correlation matrices, and detectability of orientable~{E}uclidean manifolds}, eprint = {2306.17112}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, reportnumber = {IFT-UAM/CSIC-23-75}, doi = {10.1088/1475-7516/2024/03/036}, journal = {JCAP}, volume = {03}, pages = {036}, year = {2024}, } @MISC{ResNet-50, author = {Mukherjee, Suvaditya}, title = {{T}he {A}nnotated {R}es{N}et-50}, howpublished = {\url{https://towardsdatascience.com/the-annotated-resnet-50-a6c536034758}}, note = {Accessed: \today}, } @MISC{ResNet-50-diagram, author = {Gorla, Praveen}, title = {{R}es{N}et-50 {D}iagram}, howpublished = {\url{https://commons.wikimedia.org/wiki/File:ResNet50.png}}, note = {Accessed: \today}, } @UNPUBLISHED{COMPACT3b, author = {Samandar, Amirhossein and others}, collaboration = {COMPACT}, title = {{C}osmic topology. {P}art {III}b. {T}ensor eigenmodes and correlation matrices of orientable {E}uclidean manifolds}, note = {In preparation}, } @ARTICLE{deSitter:1917zz, author = {de Sitter, W.}, title = {{O}n {E}instein's {T}heory of {G}ravitation and its {A}stronomical {C}onsequences. {T}hird {P}aper.}, doi = {10.1093/mnras/78.1.3}, journal = {Mon. Not. Roy. Astron. Soc.}, volume = {78}, number = {1}, pages = {3--28}, year = {1917}, } @ARTICLE{Kunz:2005wh, author = {Kunz, Martin and Aghanim, N. and Cayon, L. and Forni, O. and Riazuelo, A. and Uzan, J. P.}, title = {{C}onstraining topology in harmonic space}, eprint = {astro-ph/0510164}, archiveprefix = {arXiv}, doi = {10.1103/PhysRevD.73.023511}, journal = {Phys. Rev. D}, volume = {73}, pages = {023511}, year = {2006}, } @ARTICLE{Gausmann:2001aa, author = {Gausmann, Evelise and Lehoucq, Roland and Luminet, Jean-Pierre and Uzan, Jean-Philippe and Weeks, Jeffrey}, title = {{T}opological lensing in spherical spaces}, eprint = {gr-qc/0106033}, archiveprefix = {arXiv}, doi = {10.1088/0264-9381/18/23/311}, journal = {Class. Quant. Grav.}, volume = {18}, pages = {5155--5186}, year = {2001}, } @ARTICLE{Gomero:2001gq, author = {Gomero, G. I. and Reboucas, M. J. and Tavakol, Reza K.}, title = {{D}etectability of cosmic topology in almost flat universes}, eprint = {gr-qc/0105002}, archiveprefix = {arXiv}, reportnumber = {ICEN-PS-01-12, CBPF-NF-031-01}, doi = {10.1088/0264-9381/18/21/306}, journal = {Class. Quant. Grav.}, volume = {18}, pages = {4461--4476}, year = {2001}, } @ARTICLE{Uzan:2003ea, author = {Uzan, Jean-Philippe and Riazuelo, Alain and Lehoucq, Roland and Weeks, Jeffrey}, title = {{C}osmic microwave background constraints on lens spaces}, eprint = {astro-ph/0303580}, archiveprefix = {arXiv}, doi = {10.1103/PhysRevD.69.043003}, journal = {Phys. Rev. D}, volume = {69}, pages = {043003}, year = {2004}, } @ARTICLE{Aurich:2011wb, author = {Aurich, R. and Kramer, P. and Lustig, S.}, title = {{CMB} radiation in an inhomogeneous spherical space}, eprint = {1107.5214}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1088/0031-8949/84/05/055901}, journal = {Phys. Scripta}, volume = {84}, pages = {055901}, year = {2011}, } @ARTICLE{Aurich:2012aa, author = {Aurich, R. and Lustig, S.}, title = {{H}ow well-proportioned are lens and prism spaces?}, eprint = {1201.6490}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1088/0264-9381/29/17/175003}, journal = {Class. Quant. Grav.}, volume = {29}, pages = {175003}, year = {2012}, } @ARTICLE{Aurich:2012sp, author = {Aurich, Ralf and Lustig, Sven}, title = {{A} survey of lens spaces and large scale {CMB} anisotropy}, eprint = {1203.4086}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, doi = {10.1111/j.1365-2966.2012.21363.x}, journal = {Mon. Not. Roy. Astron. Soc.}, volume = {424}, pages = {1556--1562}, year = {2012}, } @ARTICLE{Threlfall1931, author = {Threlfall, W. and Seifert, H.}, journal = {Mathematische Annalen}, keywords = {topology}, pages = {1-70}, title = {{T}opologische {U}ntersuchung der {D}iskontinuitätsbereiche endlicher {B}ewegungsgruppen des dreidimensionalen sphärischen {R}aumes}, url = {http://eudml.org/doc/159448}, volume = {104}, year = {1931}, } @ARTICLE{Boyle:2013nka, author = {Boyle, Michael}, title = {{A}ngular velocity of gravitational radiation from precessing binaries and the corotating frame}, eprint = {1302.2919}, archiveprefix = {arXiv}, primaryclass = {gr-qc}, doi = {10.1103/PhysRevD.87.104006}, journal = {Phys. Rev. D}, volume = {87}, number = {10}, pages = {104006}, year = {2013}, } @ARTICLE{Hu_2000, author = {Hu, Wayne}, title = {{W}eak lensing of the {CMB}: {A} harmonic approach}, volume = {62}, issn = {1089-4918}, url = {http://dx.doi.org/10.1103/PhysRevD.62.043007}, doi = {10.1103/physrevd.62.043007}, number = {4}, journal = {Physical Review D}, publisher = {American Physical Society (APS)}, year = {2000}, month = {July}, } @UNPUBLISHED{Copi:2024, author = {Copi, Craig J. and the COMPACT collaboration}, title = {{E}igenmodes and correlation matrices of non-orientable {E}uclidean manifolds}, year = {2024}, note = {in preparation}, journal = {}, } @UNPUBLISHED{Anselmi:2024, author = {Anselmi, Stefano and the COMPACT collaboration}, title = {{T}opological {C}orrelations from {O}bservations of {L}arge-{S}cale {S}tructure}, year = {2024}, note = {in preparation}, journal = {}, } @UNPUBLISHED{Petersen:2024b, author = {Petersen, Pip and the COMPACT collaboration}, title = {{C}osmic topology. {P}art {I}b. {L}imits on non-orientable {E}uclidean manifolds from circle searches}, year = {2024}, note = {in preparation}, journal = {}, } @ARTICLE{PlanckCollaboration2014, author = {Planck Collaboration, P. A. R. Ade et al.}, title = {{P}lanck2013 results. {XXIII}. {I}sotropy and statistics of the {CMB}}, volume = {571}, issn = {1432-0746}, url = {http://dx.doi.org/10.1051/0004-6361/201321534}, doi = {10.1051/0004-6361/201321534}, journal = {Astronomy \& Astrophysics}, publisher = {EDP Sciences}, year = {2014}, month = {October}, pages = {A23}, } @ARTICLE{PlanckCollaboration2016, author = {Planck Collaboration, P. A. R. Ade et al.}, title = {{P}lanck2015 results: {XVI}. {I}sotropy and statistics of the {CMB}}, volume = {594}, issn = {1432-0746}, url = {http://dx.doi.org/10.1051/0004-6361/201526681}, doi = {10.1051/0004-6361/201526681}, journal = {Astronomy \& Astrophysics}, publisher = {EDP Sciences}, year = {2016}, month = {September}, pages = {A16}, } @ARTICLE{PlanckCollaboration2020, author = {Planck Collaboration, Y. Akrami et al.}, title = {{P}lanck2018 results: {VII}. {I}sotropy and statistics of the {CMB}}, volume = {641}, issn = {1432-0746}, url = {http://dx.doi.org/10.1051/0004-6361/201935201}, doi = {10.1051/0004-6361/201935201}, journal = {Astronomy \& Astrophysics}, publisher = {EDP Sciences}, year = {2020}, month = {September}, pages = {A7}, } @ARTICLE{Planck2020, author = {Planck Collaboration, N. Aghanim et al.}, title = {{P}lanck2018 results: {VI}. {C}osmological parameters}, volume = {641}, issn = {1432-0746}, url = {http://dx.doi.org/10.1051/0004-6361/201833910}, doi = {10.1051/0004-6361/201833910}, journal = {Astronomy \& Astrophysics}, publisher = {EDP Sciences}, year = {2020}, month = {September}, pages = {A6}, } @ARTICLE{Schwarz_2016, author = {Schwarz, Dominik J and Copi, Craig J and Huterer, Dragan and Starkman, Glenn D}, title = {{CMB} anomalies after {P}lanck}, volume = {33}, issn = {1361-6382}, url = {http://dx.doi.org/10.1088/0264-9381/33/18/184001}, doi = {10.1088/0264-9381/33/18/184001}, number = {18}, journal = {Classical and Quantum Gravity}, publisher = {IOP Publishing}, year = {2016}, month = {August}, pages = {184001}, } @ARTICLE{Abdalla_2022, author = {et al., E. Abdalla}, title = {{C}osmology intertwined: {A} review of the particle physics, astrophysics, and cosmology associated with the cosmological tensions and anomalies}, volume = {34}, issn = {2214-4048}, url = {http://dx.doi.org/10.1016/j.jheap.2022.04.002}, doi = {10.1016/j.jheap.2022.04.002}, journal = {Journal of High Energy Astrophysics}, publisher = {Elsevier BV}, year = {2022}, month = {June}, pages = {49–211}, } @ARTICLE{Vagnozzi_2021, author = {Vagnozzi, Sunny and Di Valentino, Eleonora and Gariazzo, Stefano and Melchiorri, Alessandro and Mena, Olga and Silk, Joseph}, title = {{T}he galaxy power spectrum take on spatial curvature and cosmic concordance}, volume = {33}, issn = {2212-6864}, url = {http://dx.doi.org/10.1016/j.dark.2021.100851}, doi = {10.1016/j.dark.2021.100851}, journal = {Physics of the Dark Universe}, publisher = {Elsevier BV}, year = {2021}, month = {September}, pages = {100851}, } @ARTICLE{Lachi_ze_Rey_1995, author = {Lachièze-Rey, Marc and Luminet, Jean-Pierre}, title = {{C}osmic topology}, volume = {254}, issn = {0370-1573}, url = {http://dx.doi.org/10.1016/0370-1573(94)00085-H}, doi = {10.1016/0370-1573(94)00085-h}, number = {3}, journal = {Physics Reports}, publisher = {Elsevier BV}, year = {1995}, month = {March}, pages = {135–214}, } @ARTICLE{Lehoucq1996, author = {{Lehoucq}, R. and {Lachieze-Rey}, M. and {Luminet}, J. P.}, title = {{C}osmic crystallography.}, journal = {Astronomy \& Astrophysics}, keywords = {COSMOLOGY: LARGE SCALE STRUCTURE OF UNIVERSE, MISCELLANEOUS, METHODS: MISCELLANEOUS, General Relativity and Quantum Cosmology, Astrophysics}, year = {1996}, month = {September}, volume = {313}, pages = {339-346}, doi = {10.48550/arXiv.gr-qc/9604050}, archiveprefix = {arXiv}, eprint = {gr-qc/9604050}, primaryclass = {gr-qc}, adsurl = {https://ui.adsabs.harvard.edu/abs/1996A&A...313..339L}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, } @MISC{eskilt2023cosmic, author = {Eskilt, Johannes R. and Akrami, Yashar and Anselmi, Stefano and Copi, Craig J. and Jaffe, Andrew H. and Kosowsky, Arthur and Mihaylov, Deyan P. and Starkman, Glenn D. and Tamosiunas, Andrius and Mertens, James B. and Petersen, Pip and Saha, Samanta and Taylor, Quinn and {G{\"u}ng{\"o}r}, {\"O}zen{\c{c}}}, title = {{C}osmic topology. {P}art {II}. {E}igenmodes, correlation matrices, and detectability of orientable {E}uclidean manifolds}, year = {2023}, eprint = {2306.17112}, archiveprefix = {arXiv}, primaryclass = {astro-ph.CO}, } @ARTICLE{Gausmann_2001, author = {Gausmann, Evelise and Lehoucq, Roland and Luminet, Jean-Pierre and Uzan, Jean-Philippe and Weeks, Jeffrey}, title = {{T}opological lensing in spherical spaces}, volume = {18}, issn = {1361-6382}, url = {http://dx.doi.org/10.1088/0264-9381/18/23/311}, doi = {10.1088/0264-9381/18/23/311}, number = {23}, journal = {Classical and Quantum Gravity}, publisher = {IOP Publishing}, year = {2001}, month = {November}, pages = {5155–5186}, } @ARTICLE{Aurich:2005ij, author = {Aurich, Ralf and Lustig, Sven and Steiner, Frank}, title = {{CMB} anisotropy of spherical spaces}, eprint = {astro-ph/0504656}, archiveprefix = {arXiv}, doi = {10.1088/0264-9381/22/17/006}, journal = {Class. Quant. Grav.}, volume = {22}, pages = {3443--3460}, year = {2005}, } @ARTICLE{Aurich_2012, author = {Aurich, R and Lustig, S}, title = {{H}ow well proportioned are lens and prism spaces?}, volume = {29}, issn = {1361-6382}, url = {http://dx.doi.org/10.1088/0264-9381/29/17/175003}, doi = {10.1088/0264-9381/29/17/175003}, number = {17}, journal = {Classical and Quantum Gravity}, publisher = {IOP Publishing}, year = {2012}, month = {August}, pages = {175003}, } @ARTICLE{Gomero_2001, author = {Gomero, G I and Rebouças, M J and Tavakol, R}, title = {{D}etectability of cosmic topology in almost flat universes}, volume = {18}, issn = {1361-6382}, url = {http://dx.doi.org/10.1088/0264-9381/18/21/306}, doi = {10.1088/0264-9381/18/21/306}, number = {21}, journal = {Classical and Quantum Gravity}, publisher = {IOP Publishing}, year = {2001}, month = {October}, pages = {4461–4476}, } @ARTICLE{Lehoucq_2002, author = {Lehoucq, Roland and Weeks, Jeffrey and Uzan, Jean-Philippe and Gausmann, Evelise and Luminet, Jean-Pierre}, title = {{E}igenmodes of three-dimensional spherical spaces and their application to cosmology}, volume = {19}, issn = {0264-9381}, url = {http://dx.doi.org/10.1088/0264-9381/19/18/305}, doi = {10.1088/0264-9381/19/18/305}, number = {18}, journal = {Classical and Quantum Gravity}, publisher = {IOP Publishing}, year = {2002}, month = {August}, pages = {4683–4708}, } @ARTICLE{Weeks_2006, author = {Weeks, Jeff}, title = {{E}xact polynomial eigenmodes for homogeneous spherical 3-manifolds}, volume = {23}, issn = {1361-6382}, url = {http://dx.doi.org/10.1088/0264-9381/23/23/023}, doi = {10.1088/0264-9381/23/23/023}, number = {23}, journal = {Classical and Quantum Gravity}, publisher = {IOP Publishing}, year = {2006}, month = {October}, pages = {6971–6988}, } @ARTICLE{Planck2018resultsVI, author = {PlanckCollaboration, Aghanim, N. et al}, title = {{P}lanck2018 results: {VI}. {C}osmological parameters}, volume = {641}, issn = {1432-0746}, url = {http://dx.doi.org/10.1051/0004-6361/201833910}, doi = {10.1051/0004-6361/201833910}, journal = {Astronomy \& Astrophysics}, publisher = {EDP Sciences}, year = {2020}, month = {September}, pages = {A6}, } @ARTICLE{Anselmi_2023, author = {Anselmi, Stefano and Carney, Matthew F. and Giblin, John T. and Kumar, Saurabh and Mertens, James B. and O’Dwyer, Marcio and Starkman, Glenn D. and Tian, Chi}, title = {{W}hat is flat {LCDM}, and may we choose it?}, volume = {2023}, issn = {1475-7516}, url = {http://dx.doi.org/10.1088/1475-7516/2023/02/049}, doi = {10.1088/1475-7516/2023/02/049}, number = {02}, journal = {Journal of Cosmology and Astroparticle Physics}, publisher = {IOP Publishing}, year = {2023}, month = {February}, pages = {049}, } @ARTICLE{kunz2006, author = {{Kunz}, M. and {Aghanim}, N. and {Cayon}, L. and {Forni}, O. and {Riazuelo}, A. and {Uzan}, J. P.}, title = {{C}onstraining topology in harmonic space}, journal = {Phys. Rev. D}, keywords = {98.80.Es, 04.20.Gz, 98.70.Vc, 98.80.Bp, Observational cosmology, Spacetime topology causal structure spinor structure, Background radiations, Origin and formation of the Universe, Astrophysics}, year = {2006}, month = {January}, volume = {73}, number = {2}, eid = {023511}, pages = {023511}, doi = {10.1103/PhysRevD.73.023511}, archiveprefix = {arXiv}, eprint = {astro-ph/0510164}, primaryclass = {astro-ph}, adsurl = {https://ui.adsabs.harvard.edu/abs/2006PhRvD..73b3511K}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, } @ARTICLE{cai2017chirality, author = {Cai, Yong and Wang, Yu-Tong and Piao, Yun-Song}, title = {{C}hirality oscillation of primordial gravitational waves during inflation}, journal = {Journal of High Energy Physics}, volume = {2017}, number = {3}, pages = {1--13}, year = {2017}, publisher = {Springer}, } @ARTICLE{takahashi2009chiral, author = {Takahashi, Tomohiro and Soda, Jiro}, title = {{C}hiral primordial gravitational waves from a {L}ifshitz point}, journal = {Physical Review Letters}, volume = {102}, number = {23}, pages = {231301}, year = {2009}, publisher = {APS}, } @ARTICLE{fujita2022can, author = {Fujita, Tomohiro and Minami, Yuto and Shiraishi, Maresuke and Yokoyama, Shuichiro}, title = {{C}an primordial parity violation explain the observed cosmic birefringence?}, journal = {Physical Review D}, volume = {106}, number = {10}, pages = {103529}, year = {2022}, publisher = {APS}, } @ARTICLE{minami2020new, author = {Minami, Yuto and Komatsu, Eiichiro}, title = {{N}ew extraction of the cosmic birefringence from the {P}lanck 2018 polarization data}, journal = {Physical Review Letters}, volume = {125}, number = {22}, pages = {221301}, year = {2020}, publisher = {APS}, } @ARTICLE{eskilt2022improved, author = {Eskilt, Johannes R and Komatsu, Eiichiro}, title = {{I}mproved constraints on cosmic birefringence from the {WMAP} and {P}lanck cosmic microwave background polarization data}, journal = {Physical Review D}, volume = {106}, number = {6}, pages = {063503}, year = {2022}, publisher = {APS}, } @ARTICLE{komatsu2022new, author = {Komatsu, Eiichiro}, title = {{N}ew physics from the polarized light of the cosmic microwave background}, journal = {Nature Reviews Physics}, volume = {4}, number = {7}, pages = {452--469}, year = {2022}, publisher = {Nature Publishing Group UK London}, } @ARTICLE{2023arXiv231012859J, author = {{Jones}, Joann and {Copi}, Craig J. and {Starkman}, Glenn D. and {Akrami}, Yashar}, title = {{T}he {U}niverse is not statistically isotropic}, journal = {arXiv e-prints}, keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics}, year = {2023}, month = {October}, eid = {arXiv:2310.12859}, pages = {arXiv:2310.12859}, doi = {10.48550/arXiv.2310.12859}, archiveprefix = {arXiv}, eprint = {2310.12859}, primaryclass = {astro-ph.CO}, adsurl = {https://ui.adsabs.harvard.edu/abs/2023arXiv231012859J}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, } @ARTICLE{eskilt2024cosmic, author = {Eskilt, Johannes R and Akrami, Yashar and Anselmi, Stefano and Copi, Craig J and Jaffe, Andrew H and Kosowsky, Arthur and Mihaylov, Deyan P and Starkman, Glenn D and Tamosiunas, Andrius and Mertens, James B and others}, title = {{C}osmic topology. {P}art {II}a. {E}igenmodes, correlation matrices, and detectability of orientable {E}uclidean manifolds}, journal = {Journal of Cosmology and Astroparticle Physics}, volume = {2024}, number = {03}, pages = {036}, year = {2024}, publisher = {IOP Publishing}, } @ARTICLE{Secrest_2021, author = {Secrest, Nathan J. and von Hausegger, Sebastian and Rameez, Mohamed and Mohayaee, Roya and Sarkar, Subir and Colin, Jacques}, doi = {10.3847/2041-8213/abdd40}, url = {https://dx.doi.org/10.3847/2041-8213/abdd40}, year = {2021}, month = {feb}, publisher = {The American Astronomical Society}, volume = {908}, number = {2}, pages = {L51}, title = {{A} {T}est of the {C}osmological {P}rinciple with {Q}uasars}, journal = {The Astrophysical Journal Letters}, abstract = {We study the large-scale anisotropy of the universe by measuring the dipole in the angular distribution of a flux-limited, all-sky sample of 1.36 million quasars observed by the Wide-field Infrared Survey Explorer (WISE). This sample is derived from the new CatWISE2020 catalog, which contains deep photometric measurements at 3.4 and 4.6 μm from the cryogenic, post-cryogenic, and reactivation phases of the WISE mission. While the direction of the dipole in the quasar sky is similar to that of the cosmic microwave background (CMB), its amplitude is over twice as large as expected, rejecting the canonical, exclusively kinematic interpretation of the {CMB} dipole with a p-value of 5 × 10−7 (4.9σ for a normal distribution, one-sided), the highest significance achieved to date in such studies. Our results are in conflict with the cosmological principle, a foundational assumption of the concordance ΛCDM model.}, } @ARTICLE{bulk_flows, author = {Watkins, Richard and Allen, Trey and Bradford, Collin James and Ramon, Albert, Jr and Walker, Alexandra and Feldman, Hume A and Cionitti, Rachel and Al-Shorman, Yara and Kourkchi, Ehsan and Tully, R Brent}, title = {{A}nalysing the large-scale bulk flow using cosmicflows4: increasing tension with the standard cosmological model}, journal = {Monthly Notices of the Royal Astronomical Society}, volume = {524}, number = {2}, pages = {1885-1892}, year = {2023}, month = {07}, abstract = {{We present an estimate of the bulk flow in a volume of radii 150−200 h−1 Mpc using the minimum variance method with data from the CosmicFlows-4 (CF4) catalogue. The addition of new data in the CF4 has resulted in an increase in the estimate of the bulk flow in a sphere of radius 150 h−1 Mpc relative to the CosmicFlows-3 (CF3). This bulk flow has an \\$\\sim 0.015~\\{\\{\\ \\rm per\\ cent\\}\\}\\$ chance of occurring in the standard cosmological model with cosmic microwave background derived parameters. Given that the CF4 is deeper than the CF3, we were able to use the CF4 to accurately estimate the bulk flow on scales of 200 h−1 Mpc (equivalent to 266 Mpc for Hubble constant H0 = 75 km s−1 Mpc−1) for the first time. This bulk flow is in even greater tension with the standard model, having \\$\\sim 1.5\\times 10^\\{-4\\}\\ \\\\%\\$ probability of occurring. To estimate the bulk flow accurately, we introduce a novel method to calculate distances and velocities from distance moduli that is unbiased and accurate at all distances. Our results are completely independent of the value of H0.}}, issn = {0035-8711}, doi = {10.1093/mnras/stad1984}, url = {https://doi.org/10.1093/mnras/stad1984}, eprint = {https://academic.oup.com/mnras/article-pdf/524/2/1885/50877754/stad1984.pdf}, } @ARTICLE{LEWIS_2006, author = {LEWIS, A and CHALLINOR, A}, title = {{W}eak gravitational lensing of the {CMB}}, volume = {429}, issn = {0370-1573}, url = {http://dx.doi.org/10.1016/j.physrep.2006.03.002}, doi = {10.1016/j.physrep.2006.03.002}, number = {1}, journal = {Physics Reports}, publisher = {Elsevier BV}, year = {2006}, month = {June}, pages = {1–65}, } @ARTICLE{birefringence1, author = {Minami, Yuto and Ochi, Hiroki and Ichiki, Kiyotomo and Katayama, Nobuhiko and Komatsu, Eiichiro and Matsumura, Tomotake}, title = {{S}imultaneous determination of the cosmic birefringence and miscalibrated polarization angles from {CMB} experiments}, journal = {Progress of Theoretical and Experimental Physics}, volume = {2019}, number = {8}, pages = {083E02}, year = {2019}, month = {08}, abstract = {{We show that the cosmic birefringence and miscalibrated polarization angles can be determined simultaneously by cosmic microwave background (CMB) experiments using the cross-correlation between \\$E\\$- and \\$B\\$-mode polarization data. This is possible because the polarization angles of the {CMB} are rotated by both the cosmic birefringence and miscalibration effects, whereas those of the Galactic foreground emission are rotated only by the latter. Our method does not require prior knowledge of the \\$E\\$- and \\$B\\$-mode power spectra of the foreground emission, but uses only the knowledge of the {CMB} polarization spectra. Specifically, we relate the observed \\$EB\\$ correlation to the difference between the observed\\$E\\$- and \\$B\\$-mode spectra in the sky, and use different multipole dependences of the {CMB} (given by theory) and foreground spectra (given by data) to derive the likelihood for the miscalibration angle \\$\\alpha\\$ and the birefringence angle \\$\\beta\\$. We show that a future satellite mission similar to LiteBIRD can determine \\$\\beta\\$ with a precision of 10 arcmin.}}, issn = {2050-3911}, doi = {10.1093/ptep/ptz079}, url = {https://doi.org/10.1093/ptep/ptz079}, eprint = {https://academic.oup.com/ptep/article-pdf/2019/8/083E02/29117835/ptz079.pdf}, } @ARTICLE{birefringence2, author = {Diego-Palazuelos, P. and Eskilt, J. R. and Minami, Y. and Tristram, M. and Sullivan, R. M. and Banday, A. J. and Barreiro, R. B. and Eriksen, H. K. and G\'orski, K. M. and Keskitalo, R. and Komatsu, E. and Mart\'{\i}nez-Gonz\'alez, E. and Scott, D. and Vielva, P. and Wehus, I. K.}, title = {{C}osmic {B}irefringence from the {P}lanck {D}ata {R}elease 4}, journal = {Phys. Rev. Lett.}, volume = {128}, issue = {9}, pages = {091302}, numpages = {7}, year = {2022}, month = {Mar}, publisher = {American Physical Society}, doi = {10.1103/PhysRevLett.128.091302}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.128.091302}, } @ARTICLE{PhysRevD.69.103518, author = {Riazuelo, Alain and Weeks, Jeffrey and Uzan, Jean-Philippe and Lehoucq, Roland and Luminet, Jean-Pierre}, title = {{C}osmic microwave background anisotropies in multiconnected flat spaces}, journal = {Phys. Rev. D}, volume = {69}, issue = {10}, pages = {103518}, numpages = {25}, year = {2004}, month = {May}, publisher = {American Physical Society}, doi = {10.1103/PhysRevD.69.103518}, url = {https://link.aps.org/doi/10.1103/PhysRevD.69.103518}, } @ARTICLE{PhysRevD.69.103514, author = {Riazuelo, Alain and Uzan, Jean-Philippe and Lehoucq, Roland and Weeks, Jeffrey}, title = {{S}imulating cosmic microwave background maps in multiconnected spaces}, journal = {Phys. Rev. D}, volume = {69}, issue = {10}, pages = {103514}, numpages = {28}, year = {2004}, month = {May}, publisher = {American Physical Society}, doi = {10.1103/PhysRevD.69.103514}, url = {https://link.aps.org/doi/10.1103/PhysRevD.69.103514}, } @INPROCEEDINGS{skorski2021modern, author = {Skorski, Maciej}, title = {{M}odern analysis of {H}utchinson's trace estimator}, booktitle = {2021 55th Annual Conference on Information Sciences and Systems (CISS)}, pages = {1--5}, year = {2021}, organization = {IEEE}, } @BOOK{golub2009matrices, author = {Golub, Gene H and Meurant, G{\'e}rard}, title = {{M}atrices, moments and quadrature with applications}, volume = {30}, year = {2009}, publisher = {Princeton University Press}, } @ARTICLE{bai1996bounds, author = {Bai, Zhaojun and Golub, Gene H}, title = {{B}ounds for the trace of the inverse and the determinant of symmetric positive definite matrices}, journal = {Annals of Numerical Mathematics}, volume = {4}, pages = {29--38}, year = {1996}, publisher = {Citeseer}, } @ARTICLE{graham2010observing, author = {Graham, Peter W and Harnik, Roni and Rajendran, Surjeet}, title = {{O}bserving the dimensionality of our parent vacuum}, journal = {Physical Review D}, volume = {82}, number = {6}, pages = {063524}, year = {2010}, publisher = {APS}, } @ARTICLE{bond1998computing, author = {Bond, J Richard and Pogosyan, Dmitry and Souradeep, Tarun}, title = {{C}omputing {CMB} anisotropy in compact hyperbolic spaces}, journal = {Classical and Quantum Gravity}, volume = {15}, number = {9}, pages = {2671}, year = {1998}, publisher = {IOP Publishing}, } @ARTICLE{aurich1993statistical, author = {Aurich, Ralf and Steiner, Frank}, title = {{S}tatistical properties of highly excited quantum eigenstates of a strongly chaotic system}, journal = {Physica D: Nonlinear Phenomena}, volume = {64}, number = {1-3}, pages = {185--214}, year = {1993}, publisher = {Elsevier}, } @ARTICLE{cornish1999eigenmodes, author = {Cornish, Neil J and Spergel, David N}, title = {{O}n the eigenmodes of compact hyperbolic 3-manifolds}, journal = {arXiv preprint math/9906017}, year = {1999}, } @ARTICLE{bond1998estimating, author = {Bond, JR and Jaffe, Andrew H and Knox, L}, title = {{E}stimating the power spectrum of the cosmic microwave background}, journal = {Physical Review D}, volume = {57}, number = {4}, pages = {2117}, year = {1998}, publisher = {APS}, } @ARTICLE{kac1966can, author = {Kac, Mark}, title = {{C}an one hear the shape of a drum?}, journal = {The american mathematical monthly}, volume = {73}, number = {4P2}, pages = {1--23}, year = {1966}, publisher = {Taylor \& Francis}, } @ARTICLE{key2007extending, author = {Key, Joey Shapiro and Cornish, Neil J and Spergel, David N and Starkman, Glenn D}, title = {{E}xtending the {WMAP} bound on the size of the {U}niverse}, journal = {Physical review D}, volume = {75}, number = {8}, pages = {084034}, year = {2007}, publisher = {APS}, } @ARTICLE{vaudrevange2012constraints, author = {Vaudrevange, Pascal M and 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Glenn D and Tamosiunas, Andrius and Eskilt, Johannes R and G{\"u}ng{\"o}r, {\"O}zen{\c{c}} and Saha, Samanta and others}, title = {{C}osmic topology. {P}art {I}. {L}imits on orientable {E}uclidean manifolds from circle searches}, journal = {Journal of Cosmology and Astroparticle Physics}, volume = {2023}, number = {01}, pages = {030}, year = {2023}, publisher = {IOP Publishing}, } @ARTICLE{mihaylov2024erratum, author = {Mihaylov, Deyan P and Akrami, Yashar and Copi, Craig J and Jaffe, Andrew H and Kosowsky, Arthur and Petersen, Pip and Starkman, Glenn D and Tamosiunas, Andrius and Eskilt, Johannes R and G{\"u}ng{\"o}r, {\"O}zen{\c{c}} and others}, title = {{E}rratum: {C}osmic topology. {P}art {I}. {L}imits on orientable {E}uclidean manifolds from circle searches}, journal = {Journal of Cosmology and Astroparticle Physics}, volume = {2024}, number = {04}, pages = {E01}, year = {2024}, publisher = {IOP Publishing}, } @ARTICLE{jones2023universe, author = {Jones, Joann and Copi, Craig J and Starkman, Glenn D and Akrami, Yashar}, title = {{T}he {U}niverse is not statistically isotropic}, journal = {arXiv preprint arXiv:2310.12859}, year = {2023}, } @BOOK{weeks2001shape, author = {Weeks, Jeffrey R}, title = {{T}he shape of space}, year = {2001}, publisher = {CRC press}, } @ARTICLE{starkman1998topology, author = {Starkman, Glenn D}, title = {{T}opology and cosmology}, journal = {Classical and Quantum Gravity}, volume = {15}, number = {9}, pages = {2529}, year = {1998}, publisher = {IOP Publishing}, } @INPROCEEDINGS{ellis1987theory, author = {Ellis, GFR}, title = {{T}heory and observational limits in cosmology}, booktitle = {Proc. 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Bell and sons, Limited}, } @ARTICLE{schwarzschild1900uber, author = {Schwarzschild, Karl}, title = {{\"{U}}ber das zul{\"a}ssige {K}r{\"u}mmungsmaa{\ss} des {R}aumes}, journal = {Vierteljahrsschrift der Astronomische Gesellschaft}, pages = {337--347}, year = {1900}, } @MISC{cAnandaSmith, author = {Smith, Ananda and Copi, Craig J and Starkman, Glenn D}, title = {{CMB} {L}imits on {A}nisotropic {T}hurston {G}eometries}, year = {In preparation}, } @ARTICLE{bennett2003first, author = {Bennett, CL and Hill, Robert S and Hinshaw, G and Nolta, MR and Odegard, N and Page, L and Spergel, DN and Weiland, JL and Wright, EL and Halpern, M and others}, title = {{F}irst-year wilkinson microwave anisotropy probe (wmap)* observations: foreground emission}, journal = {The Astrophysical Journal Supplement Series}, volume = {148}, number = {1}, pages = {97}, year = {2003}, publisher = {IOP Publishing}, } @ARTICLE{hanany2000maxima, author = {Hanany, Shaul and Ade, P and Balbi, Amedeo and Bock, James and 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and Gonz{\'a}lez-Quesada, Kevin and G{\"u}ng{\"o}r, {\"O}zen{\c{c}} and others}, title = {{P}romise of {F}uture {S}earches for {C}osmic {T}opology}, journal = {Physical Review Letters}, volume = {132}, number = {17}, pages = {171501}, year = {2024}, publisher = {APS}, } @ARTICLE{ade2016planck, author = {Ade, PAR and Aghanim, N and Arnaud, M and Ashdown, M and Aumont, J and Baccigalupi, C and Banday, AJ and Barreiro, RB and Bartolo, Nicola and Basak, S and others}, title = {{P}lanck 2015 results-{XVIII}. {B}ackground geometry and topology of the {U}niverse}, journal = {Astronomy \& Astrophysics}, volume = {594}, pages = {A18}, year = {2016}, publisher = {EDP sciences}, } @ARTICLE{ade2014planck, author = {Ade, Peter AR and Aghanim, N and Armitage-Caplan, C and Arnaud, M and Ashdown, M and Atrio-Barandela, F and Aumont, J and Baccigalupi, C and Banday, AJ and Barreiro, RB and others}, title = {{P}lanck 2013 results. {XXVI}. {B}ackground geometry and topology of the {U}niverse}, journal = {Astronomy \& Astrophysics}, volume = {571}, pages = {A26}, year = {2014}, publisher = {EDP sciences}, } @ARTICLE{de1916einstein, author = {De Sitter, Willem}, title = {{E}instein's theory of gravitation and its astronomical consequences}, journal = {Monthly Notices of the Royal Astronomical Society, Vol. 76, p. 699-728}, volume = {76}, pages = {699--728}, year = {1916}, } @ARTICLE{einstein1986cosmological, author = {Einstein, Albert}, title = {{C}osmological considerations on the general theory of relativity}, journal = {Cosmological Constants}, pages = {16}, year = {1986}, } @BOOK{schwarzschild2013gesammelte, author = {Schwarzschild, Karl}, title = {{G}esammelte {W}erke {C}ollected {W}orks: {V}olume 1}, volume = {1}, year = {2013}, publisher = {Springer-Verlag}, } @BOOK{meurant2024error, author = {Meurant, G{\'e}rard and Tich{\`y}, Petr}, title = {{E}rror {N}orm {E}stimation in the {C}onjugate {G}radient {A}lgorithm}, year = {2024}, publisher = {SIAM}, } @ARTICLE{calvetti2000computable, author = {Calvetti, Daniela and Morigi, Serena and Reichel, Lothar and Sgallari, Fiorella}, title = {{C}omputable error bounds and estimates for the conjugate gradient method}, journal = {Numerical Algorithms}, volume = {25}, pages = {75--88}, year = {2000}, publisher = {Springer}, } @ARTICLE{calvetti2001iterative, author = {Calvetti, D and Morigi, S and Reichel, L and Sgallari, F}, title = {{A}n iterative method with error estimators}, journal = {Journal of computational and applied mathematics}, volume = {127}, number = {1-2}, pages = {93--119}, year = {2001}, publisher = {Elsevier}, } @ARTICLE{calvetti2000tikhonov, author = {Calvetti, D and Morigi, S and Reichel, L and Sgallari, F}, title = {{T}ikhonov regularization and the {L}-curve for large discrete ill-posed problems}, journal = {Journal of computational and applied mathematics}, volume = {123}, number = {1-2}, pages = {423--446}, year = {2000}, publisher = {Elsevier}, } @BOOK{hestenes1952methods, author = {Hestenes, Magnus Rudolph and Stiefel, Eduard and others}, title = {{M}ethods of conjugate gradients for solving linear systems}, volume = {49}, year = {1952}, publisher = {NBS Washington, DC}, } @ARTICLE{lanczos1952solution, author = {Lanczos, Cornelius}, title = {{S}olution of systems of linear equations by minimized iterations}, journal = {J. 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Standards}, volume = {49}, number = {1}, pages = {33--53}, year = {1952}, } @ARTICLE{ubaru2017fast, author = {Ubaru, Shashanka and Chen, Jie and Saad, Yousef}, title = {{F}ast estimation of tr(f({A})) via stochastic {L}anczos quadrature}, journal = {SIAM Journal on Matrix Analysis and Applications}, volume = {38}, number = {4}, pages = {1075--1099}, year = {2017}, publisher = {SIAM}, } @ARTICLE{hutchinson1989stochastic, author = {Hutchinson, Michael F}, title = {{A} stochastic estimator of the trace of the influence matrix for {L}aplacian smoothing splines}, journal = {Communications in Statistics-Simulation and Computation}, volume = {18}, number = {3}, pages = {1059--1076}, year = {1989}, publisher = {Taylor \& Francis}, } @ARTICLE{lindgren2022spde, author = {Lindgren, Finn and Bolin, David and Rue, H{\aa}vard}, title = {{T}he {SPDE} approach for {G}aussian and non-{G}aussian fields: 10 years and still running}, journal = {Spatial Statistics}, volume = {50}, pages = {100599}, year = {2022}, publisher = {Elsevier}, } @ARTICLE{weeks1995snappea, author = {Weeks, Jeff}, title = {{S}nap{P}ea}, journal = {http://geometrygames. org/SnapPea}, year = {1995}, } @ARTICLE{abbott2019gwtc, author = {Abbott, Benjamin P and Abbott, Richard and Abbott, TDea and Abraham, S and Acernese, F and Ackley, K and Adams, C and Adhikari, RX and Adya, VB and Affeldt, Christoph and others}, title = {{GWTC}-1: a gravitational-wave transient catalog of compact binary mergers observed by {LIGO} and {V}irgo during the first and second observing runs}, journal = {Physical Review X}, volume = {9}, number = {3}, pages = {031040}, year = {2019}, publisher = {APS}, } @ARTICLE{waniorek2023bayesian, author = {Waniorek, Nathan and Calvetti, Daniela and Somersalo, Erkki}, title = {{B}ayesian hierarchical dictionary learning}, journal = {Inverse Problems}, volume = {39}, number = {2}, pages = {024006}, year = {2023}, publisher = {IOP Publishing}, } @ARTICLE{bocchinfuso2024bayesian, author = {Bocchinfuso, A and Calvetti, D and Somersalo, E}, title = {{B}ayesian sparsity and class sparsity priors for dictionary learning and coding}, journal = {Journal of Computational Mathematics and Data Science}, volume = {11}, pages = {100094}, year = {2024}, publisher = {Elsevier}, } @ARTICLE{frazier2018tutorial, author = {Frazier, Peter I}, title = {{A} tutorial on {B}ayesian optimization}, journal = {arXiv preprint arXiv:1807.02811}, year = {2018}, } @INCOLLECTION{frazier2018bayesian, author = {Frazier, Peter I}, title = {{B}ayesian optimization}, booktitle = {Recent advances in optimization and modeling of contemporary problems}, pages = {255--278}, year = {2018}, publisher = {Informs}, } @ARTICLE{yla1999computation, author = {Yla-Oijala, P and Somersalo, E}, title = {{C}omputation of electromagnetic fields in axisymmetric {RF} structures with boundary integral equations}, journal = {Journal of electromagnetic waves and applications}, volume = {13}, number = {4}, pages = {445--491}, year = {1999}, publisher = {Taylor \& Francis}, } @ARTICLE{lassas2001analysis, author = {Lassas, Matti and Somersalo, Erkki}, title = {{A}nalysis of the {PML} equations in general convex geometry}, journal = {Proceedings of the Royal Society of Edinburgh Section A: Mathematics}, volume = {131}, number = {5}, pages = {1183--1207}, year = {2001}, publisher = {Royal Society of Edinburgh Scotland Foundation}, } @ARTICLE{lassas2001complex, author = {Lassas, Matti and Liukkonen, Jukka and Somersalo, Erkki}, title = {{C}omplex {R}iemannian metric and absorbing boundary conditions}, journal = {Journal de math{\'e}matiques pures et appliqu{\'e}es}, volume = {80}, number = {7}, pages = {739--768}, year = {2001}, publisher = {Elsevier}, } @BOOK{calvetti2023bayesian, author = {Calvetti, Daniela and Somersalo, Erkki}, title = {{B}ayesian {S}cientific {C}omputing}, volume = {215}, year = {2023}, publisher = {Springer Nature}, } @BOOK{kaipio2006statistical, author = {Kaipio, Jari and Somersalo, Erkki}, title = {{S}tatistical and computational inverse problems}, volume = {160}, year = {2006}, publisher = {Springer Science \& Business Media}, } @ARTICLE{gelfand1994bayesian, author = {Gelfand, Alan E and Dey, Dipak K}, title = {{B}ayesian model choice: asymptotics and exact calculations}, journal = {Journal of the Royal Statistical Society: Series B (Methodological)}, volume = {56}, number = {3}, pages = {501--514}, year = {1994}, publisher = {Wiley Online Library}, } @ARTICLE{kass1995bayes, author = {Kass, Robert E and Raftery, Adrian E}, title = {{B}ayes factors}, journal = {Journal of the american statistical association}, volume = {90}, number = {430}, pages = {773--795}, year = {1995}, publisher = {Taylor \& Francis}, } @ARTICLE{capistran2016bayesian, author = {Capistr{\'a}n, Marcos A and Christen, J Andr{\'e}s and Donnet, Sophie}, title = {{B}ayesian analysis of {ODE}s: solver optimal accuracy and {B}ayes factors}, journal = {SIAM/ASA Journal on Uncertainty Quantification}, volume = {4}, number = {1}, pages = {829--849}, year = {2016}, publisher = {SIAM}, } @ARTICLE{durmus2018efficient, author = {Durmus, Alain and Moulines, Eric and Pereyra, Marcelo}, title = {{E}fficient bayesian computation by proximal markov chain monte carlo: when langevin meets moreau}, journal = {SIAM Journal on Imaging Sciences}, volume = {11}, number = {1}, pages = {473--506}, year = {2018}, publisher = {SIAM}, } @ARTICLE{chopin2010properties, author = {Chopin, Nicolas and Robert, Christian P}, title = {{P}roperties of nested sampling}, journal = {Biometrika}, volume = {97}, number = {3}, pages = {741--755}, year = {2010}, publisher = {Oxford University Press}, } @BOOK{effective_stem_mentorship, author = {National Academies of Sciences, Engineering and Medicine}, editor = {Byars-Winston, Angela and Dahlberg, Maria Lund}, title = {{T}he {S}cience of {E}ffective {M}entorship in STEMM}, isbn = {978-0-309-49729-9}, doi = {10.17226/25568}, abstract = {Mentorship is a catalyst capable of unleashing one's potential for discovery, curiosity, and participation in STEMM and subsequently improving the training environment in which that STEMM potential is fostered. Mentoring relationships provide developmental spaces in which students' STEMM skills are honed and pathways into STEMM fields can be discovered. Because mentorship can be so influential in shaping the future STEMM workforce, its occurrence should not be left to chance or idiosyncratic implementation. There is a gap between what we know about effective mentoring and how it is practiced in higher education.\nThe Science of Effective Mentorship in STEMM studies mentoring programs and practices at the undergraduate and graduate levels. It explores the importance of mentorship, the science of mentoring relationships, mentorship of underrepresented students in STEMM, mentorship structures and behaviors, and institutional cultures that support mentorship. This report and its complementary interactive guide present insights on effective programs and practices that can be adopted and adapted by institutions, departments, and individual faculty members.}, url = {https://nap.nationalacademies.org/catalog/25568/the-science-of-effective-mentorship-in-stemm}, year = {2019}, publisher = {The National Academies Press}, address = {Washington, DC}, } @MISC{EP3_DEI, title = {{E}ffective {P}ractices for {P}hysics {P}rograms, {G}uide to {E}quity, {D}iversity, and {I}nclusion}, url = {https://ep3guide.org/guide/equity-diversity-and-inclusion}, journal = {American Physical Society}, note = {Accessed: 11-15-2023}, } @MISC{CWRU_resources, title = {{C}ampus {O}rganizations and {R}esources}, url = {https://case.edu/diversity/faculty-staff/campus-organizations-and-resources}, journal = {CWRU Office for Diversity, Equity, and Inclusive Engagement}, note = {Accessed: 11-15-2023}, } @ARTICLE{bocchinfuso2023adaptive, author = {Bocchinfuso, Albero and Calvetti, Daniela and Somersalo, Erkki}, title = {{A}daptive anisotropic {B}ayesian meshing for inverse problems}, journal = {arXiv preprint arXiv:2310.03855}, year = {2023}, } @ARTICLE{bocchinfuso2023bayesian, author = {Bocchinfuso, Alberto and Calvetti, Daniela and Somersalo, Erkki}, title = {{B}ayesian sparsity and class sparsity priors for dictionary learning and coding}, journal = {arXiv preprint arXiv:2309.00999}, year = {2023}, } @ARTICLE{calvetti2020bayesian, author = {Calvetti, Daniela and Cosmo, Anna and Perotto, Simona and Somersalo, Erkki}, title = {{B}ayesian mesh adaptation for estimating distributed parameters}, journal = {SIAM Journal on Scientific Computing}, volume = {42}, number = {6}, pages = {A3878--A3906}, year = {2020}, publisher = {SIAM}, } @ARTICLE{calvetti2020sparse, author = {Calvetti, Daniela and Pragliola, Monica and Somersalo, Erkki and Strang, Alexander}, title = {{S}parse reconstructions from few noisy data: analysis of hierarchical {B}ayesian models with 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