@article{SK1975,
  author = {Sherrington, David and Kirkpatrick, Scott},
  title = {Solvable Model of a Spin-Glass},
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  doi = {10.1103/PhysRevLett.35.1792},
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}

@article{SompolinskyZippelius1982,
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  title = {Relaxational dynamics of the {Edwards--Anderson} model and the mean-field theory of spin-glasses},
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}

@article{BilloireCampbell2011,
  author = {Billoire, Alain and Campbell, I. A.},
  title = {Dynamics in the {Sherrington--Kirkpatrick Ising} spin glass at and above {$T_g$}},
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  doi = {10.1103/PhysRevB.84.054442},
  eprint = {1105.1902},
  archivePrefix = {arXiv},
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}

@article{BauerschmidtBodineau2019,
  author = {Bauerschmidt, Roland and Bodineau, Thierry},
  title = {A very simple proof of the {LSI} for high temperature spin systems},
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  doi = {10.1016/j.jfa.2019.01.007},
  eprint = {1712.03676}, archivePrefix = {arXiv}, primaryClass = {math.PR},
  url = {https://arxiv.org/abs/1712.03676v2}
}

@article{EldanKoehlerZeitouni2022,
  author = {Eldan, Ronen and Koehler, Frederic and Zeitouni, Ofer},
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}

@inproceedings{AnariKoehlerVuong2024,
  author = {Anari, Nima and Koehler, Frederic and Vuong, Thuy-Duong},
  title = {Trickle-Down in Localization Schemes and Applications},
  booktitle = {Proceedings of the 56th Annual ACM Symposium on Theory of Computing},
  pages = {1094--1105}, year = {2024},
  doi = {10.1145/3618260.3649622},
  eprint = {2407.16104}, archivePrefix = {arXiv},
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}

@misc{Wang2026,
  author = {Wang, Sihan},
  title = {Optimal Mixing of {Glauber} Dynamics for the {Sherrington--Kirkpatrick} Model at $\beta<1/2$},
  year = {2026},
  note = {Preprint, arXiv:2608.22159v2},
  eprint = {2608.22159},
  archivePrefix = {arXiv},
  primaryClass = {math.PR},
  url = {https://arxiv.org/abs/2608.22159v2}
}

@misc{BobanLiOveisGharan2026,
  author = {Boban, Mathews and Li, Anqi and Oveis Gharan, Shayan},
  title = {Rank-1-perturbed trickledown theorems: Mixing time of {Glauber} dynamics for the {Sherrington--Kirkpatrick} model up to $\beta\leq\frac{1}{2}+\varepsilon$},
  year = {2026},
  note = {Preprint, arXiv:2609.13138v1},
  eprint = {2609.13138},
  archivePrefix = {arXiv},
  primaryClass = {cs.DS},
  url = {https://arxiv.org/abs/2609.13138v1}
}

@misc{DuHuang2026FreeEnergy,
  author = {Du, Hang and Huang, Brice},
  title = {Fluctuations of the {Sherrington--Kirkpatrick} free energy at critical temperature},
  year = {2026},
  note = {Preprint, arXiv:2607.02172v2},
  eprint = {2607.02172},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.02172v2}
}

@misc{DuHuang2026Overlap,
  author = {Du, Hang and Huang, Brice},
  title = {Overlap distribution of the critical {Sherrington--Kirkpatrick} model},
  year = {2026},
  note = {Preprint, arXiv:2608.08752v1},
  eprint = {2608.08752},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.08752v1}
}

@article{Comets1996,
  author = {Comets, Francis},
  title = {A spherical bound for the {Sherrington--Kirkpatrick} model},
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  year = {1996},
  doi = {10.24033/ast.331},
}

@article{KosterlitzThoulessJones1976,
  author = {Kosterlitz, J. M. and Thouless, D. J. and Jones, Raymund C.},
  title = {Spherical Model of a Spin-Glass},
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  number = {20},
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  year = {1976},
  doi = {10.1103/PhysRevLett.36.1217},
}

@article{BaikLee2016,
  author = {Baik, Jinho and Lee, Ji Oon},
  title = {Fluctuations of the Free Energy of the Spherical {Sherrington--Kirkpatrick} Model},
  journal = {Journal of Statistical Physics},
  volume = {165},
  pages = {185--224},
  year = {2016},
  doi = {10.1007/s10955-016-1610-0},
  eprint = {1505.07349},
  archivePrefix = {arXiv},
  primaryClass = {math.PR},
}

@article{Landon2022,
  author = {Landon, Benjamin},
  title = {Free energy fluctuations of the two-spin spherical {SK} model at critical temperature},
  journal = {Journal of Mathematical Physics},
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  number = {3},
  pages = {033301},
  year = {2022},
  doi = {10.1063/5.0054298},
  eprint = {2010.06691},
  archivePrefix = {arXiv},
  primaryClass = {math.PR},
}

@article{RamirezRiderVirag2011,
  author = {Ram{\'i}rez, Jos{\'e} and Rider, Brian and Vir{\'a}g, B{\'a}lint},
  title = {Beta ensembles, stochastic {Airy} spectrum, and a diffusion},
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  doi = {10.1090/S0894-0347-2011-00703-0},
  eprint = {math/0607331}, archivePrefix = {arXiv},
}

@book{Meckes2019,
  author = {Meckes, Elizabeth S.},
  title = {The Random Matrix Theory of the Classical Compact Groups},
  series = {Cambridge Tracts in Mathematics},
  volume = {218},
  publisher = {Cambridge University Press},
  year = {2019},
  doi = {10.1017/9781108303453},
  isbn = {9781108419529},
  url = {https://case.edu/artsci/math/esmeckes/Haar_book.pdf},
}

@misc{CM,
  author = {{OpenAI}},
  title = {{Critical mixing in the Sherrington--Kirkpatrick model}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Critical-mixing-in-the-Sherrington-Kirkpatrick-model-September-25-2026/paper.pdf}{OAI:Critical-mixing-in-the-Sherrington-Kirkpatrick-model-September-25-2026}},
  year = {2026}
}

@misc{CS,
  author = {{OpenAI}},
  title = {{Critical slowing down in the Sherrington--Kirkpatrick model}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Critical-slowing-down-in-the-Sherrington-Kirkpatrick-model-September-24-2026/paper.pdf}{OAI:Critical-slowing-down-in-the-Sherrington-Kirkpatrick-model-September-24-2026}},
  year = {2026}
}

@article{Eldan2013,
  author = {Eldan, Ronen},
  title = {Thin shell implies spectral gap up to polylog via a stochastic localization scheme},
  journal = {Geometric and Functional Analysis},
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  doi = {10.1007/s00039-013-0214-y},
  eprint = {1203.0893}, archivePrefix = {arXiv}
}

@article{CollinsSniady2006,
  author = {Collins, Beno{\^i}t and {\'{S}}niady, Piotr},
  title = {Integration with respect to the {Haar} measure on unitary, orthogonal and symplectic group},
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  eprint = {math-ph/0402073}, archivePrefix = {arXiv}
}

@article{Mosco1994,
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@article{KuwaeShioya2003,
  author = {Kuwae, Kazuhiro and Shioya, Takashi},
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@article{Chatterjee2006,
  author = {Chatterjee, Sourav},
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@article{CarmonaHu2006,
  author = {Carmona, Philippe and Hu, Yueyun},
  title = {Universality in {Sherrington--Kirkpatrick}'s spin glass model},
  journal = {Annales de l'Institut Henri Poincar{\'e}, Probabilit{\'e}s et Statistiques},
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}

@article{BrascampLieb1976,
  author = {Brascamp, Herm Jan and Lieb, Elliott H.},
  title = {On extensions of the {Brunn--Minkowski} and {Pr{\'e}kopa--Leindler} theorems, including inequalities for log concave functions, and with an application to the diffusion equation},
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}

@article{CugliandoloDean1995,
  author = {Cugliandolo, Leticia F. and Dean, David S.},
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}

@article{BenArousDemboGuionnet2001,
  author = {{Ben Arous}, G{\'e}rard and Dembo, Amir and Guionnet, Alice},
  title = {Aging of spherical spin glasses},
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}

@article{FyodorovPerretSchehr2015,
  author = {Fyodorov, Yan V. and Perret, Anthony and Schehr, Gr{\'e}gory},
  title = {Large time zero temperature dynamics of the spherical {$p=2$}-spin glass model of finite size},
  journal = {Journal of Statistical Mechanics: Theory and Experiment},
  volume = {2015}, number = {11}, pages = {P11017}, year = {2015},
  doi = {10.1088/1742-5468/2015/11/P11017},
  eprint = {1507.08520}, archivePrefix = {arXiv}
}