@article{Annibale_2004_Coexistence, author = {Annibale, Alessia and Gualdi, Giulia and Cavagna, Andrea}, title = {Coexistence of supersymmetric and supersymmetry-breaking states in spherical spin-glasses}, journal = {Journal of Physics A: Mathematical and General}, publisher = {IOP Publishing}, year = {2004}, month = {11}, number = {47}, volume = {37}, pages = {11311--11320}, url = {https://doi.org/10.1088%2F0305-4470%2F37%2F47%2F001}, doi = {10.1088/0305-4470/37/47/001} } @article{Biroli_1999_Dynamical, author = {Biroli, Giulio}, title = {Dynamical {TAP} approach to mean field glassy systems}, journal = {Journal of Physics A: Mathematical and General}, publisher = {IOP Publishing}, year = {1999}, month = {11}, number = {48}, volume = {32}, pages = {8365--8388}, url = {https://doi.org/10.1088%2F0305-4470%2F32%2F48%2F301}, doi = {10.1088/0305-4470/32/48/301} } @article{Bray_1980_Metastable, author = {Bray, A J and Moore, M A}, title = {Metastable states in spin glasses}, journal = {Journal of Physics C: Solid State Physics}, publisher = {IOP Publishing}, year = {1980}, month = {7}, number = {19}, volume = {13}, pages = {L469--L476}, url = {https://doi.org/10.1088%2F0022-3719%2F13%2F19%2F002}, doi = {10.1088/0022-3719/13/19/002} } @article{Bray_2007_Statistics, author = {Bray, Alan J. and Dean, David S.}, title = {Statistics of Critical Points of {Gaussian} Fields on Large-Dimensional Spaces}, journal = {Physical Review Letters}, publisher = {American Physical Society (APS)}, year = {2007}, month = {4}, number = {15}, volume = {98}, pages = {150201}, url = {https://doi.org/10.1103%2Fphysrevlett.98.150201}, doi = {10.1103/physrevlett.98.150201} } @article{Crisanti_1992_The, author = {Crisanti, A. and Sommers, H.-J.}, title = {The spherical $p$-spin interaction spin glass model: the statics}, journal = {Zeitschrift für Physik B Condensed Matter}, publisher = {Springer Science and Business Media LLC}, year = {1992}, month = {10}, number = {3}, volume = {87}, pages = {341--354}, url = {https://doi.org/10.1007%2Fbf01309287}, doi = {10.1007/bf01309287} } @article{Crisanti_1993_The, author = {Crisanti, A. and Horner, H. and Sommers, H.-J.}, title = {The spherical $p$-spin interaction spin-glass model}, journal = {Zeitschrift für Physik B Condensed Matter}, publisher = {Springer Science and Business Media LLC}, year = {1993}, month = {6}, number = {2}, volume = {92}, pages = {257--271}, url = {https://doi.org/10.1007%2Fbf01312184}, doi = {10.1007/bf01312184} } @article{Folena_2020_Rethinking, author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico}, title = {Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed $p$-Spin Model}, journal = {Physical Review X}, publisher = {American Physical Society}, year = {2020}, month = {8}, volume = {10}, pages = {031045}, url = {https://link.aps.org/doi/10.1103/PhysRevX.10.031045}, doi = {10.1103/PhysRevX.10.031045}, issue = {3}, numpages = {26} } @article{Folena_2021_Gradient, author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico}, title = {Gradient descent dynamics in the mixed {$p$}-spin spherical model: finite-size simulations and comparison with mean-field integration}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, publisher = {IOP Publishing}, year = {2021}, month = {3}, number = {3}, volume = {2021}, pages = {033302}, url = {https://doi.org/10.1088%2F1742-5468%2Fabe29f}, doi = {10.1088/1742-5468/abe29f} } @article{Folena_2023_On, author = {Folena, Giampaolo and Zamponi, Francesco}, title = {On weak ergodicity breaking in mean-field spin glasses}, year = {2023}, month = {feb}, url = {http://arxiv.org/abs/2303.00026v2}, date = {2023-02-28T19:02:47Z}, eprint = {2303.00026v2}, eprintclass = {cond-mat.dis-nn}, eprinttype = {arxiv}, urldate = {2023-05-20T17:09:49.352227Z} } @article{Franz_1995_Recipes, author = {Franz, Silvio and Parisi, Giorgio}, title = {Recipes for Metastable States in Spin Glasses}, journal = {Journal de Physique I}, publisher = {EDP Sciences}, year = {1995}, month = {11}, number = {11}, volume = {5}, pages = {1401--1415}, url = {https://doi.org/10.1051%2Fjp1%3A1995201}, doi = {10.1051/jp1:1995201} } @article{Ikeda_2023_Bose-Einstein-like, author = {Ikeda, Harukuni}, title = {{Bose}--{Einstein}-like condensation of deformed random matrix: a replica approach}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, publisher = {IOP Publishing}, year = {2023}, month = {2}, number = {2}, volume = {2023}, pages = {023302}, url = {https://doi.org/10.1088%2F1742-5468%2Facb7d6}, doi = {10.1088/1742-5468/acb7d6} } @article{Kac_1943_On, author = {Kac, M.}, title = {On the average number of real roots of a random algebraic equation}, journal = {Bulletin of the American Mathematical Society}, publisher = {American Mathematical Society}, year = {1943}, month = {4}, number = {4}, volume = {49}, pages = {314--320}, url = {https://projecteuclid.org:443/euclid.bams/1183505112} } @unpublished{Kent-Dobias_2022_How, author = {Kent-Dobias, Jaron and Kurchan, Jorge}, title = {How to count in hierarchical landscapes: a `full' solution to mean-field complexity}, year = {2022}, month = {7}, url = {http://arxiv.org/abs/2207.06161v2}, archiveprefix = {arXiv}, date = {2022-07-13T12:45:58Z}, eprint = {2207.06161v2}, eprintclass = {cond-mat.stat-mech}, eprinttype = {arxiv}, primaryclass = {cond-mat.stat-mech} } @article{Rice_1944_Mathematical, author = {Rice, S. O.}, title = {Mathematical Analysis of Random Noise}, journal = {Bell System Technical Journal}, publisher = {Institute of Electrical and Electronics Engineers (IEEE)}, year = {1944}, month = {7}, number = {3}, volume = {23}, pages = {282--332}, url = {https://doi.org/10.1002%2Fj.1538-7305.1944.tb00874.x}, doi = {10.1002/j.1538-7305.1944.tb00874.x} } @article{Ros_2019_Complex, author = {Ros, Valentina and Ben Arous, Gérard and Biroli, Giulio and Cammarota, Chiara}, title = {Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions}, journal = {Physical Review X}, publisher = {American Physical Society (APS)}, year = {2019}, month = {1}, number = {1}, volume = {9}, pages = {011003}, url = {https://doi.org/10.1103%2Fphysrevx.9.011003}, doi = {10.1103/physrevx.9.011003} } @article{Ros_2019_Complexity, author = {Ros, V. and Biroli, G. and Cammarota, C.}, title = {Complexity of energy barriers in mean-field glassy systems}, journal = {EPL (Europhysics Letters)}, publisher = {IOP Publishing}, year = {2019}, month = {5}, number = {2}, volume = {126}, pages = {20003}, url = {https://doi.org/10.1209%2F0295-5075%2F126%2F20003}, doi = {10.1209/0295-5075/126/20003} } @article{Ros_2020_Distribution, author = {Ros, Valentina}, title = {Distribution of rare saddles in the {$p$}-spin energy landscape}, journal = {Journal of Physics A: Mathematical and Theoretical}, publisher = {IOP Publishing}, year = {2020}, month = {3}, number = {12}, volume = {53}, pages = {125002}, url = {https://doi.org/10.1088%2F1751-8121%2Fab73ac}, doi = {10.1088/1751-8121/ab73ac} }