path: root/when_annealed.bib

@article{Altieri_2021_Properties,
 author = {Altieri, Ada and Roy, Felix and Cammarota, Chiara and Biroli, Giulio},
 title = {Properties of Equilibria and Glassy Phases of the Random {Lotka}-{Volterra} Model with Demographic Noise},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2021},
 month = {6},
 number = {25},
 volume = {126},
 pages = {258301},
 url = {https://doi.org/10.1103%2Fphysrevlett.126.258301},
 doi = {10.1103/physrevlett.126.258301}
}

@unpublished{Auffinger_2022_The,
 author = {Auffinger, Antonio and Zhou, Yuxin},
 title = {The Spherical {$p+s$} Spin Glass At Zero Temperature},
 year = {2022},
 month = {9},
 url = {http://arxiv.org/abs/2209.03866v1},
 date = {2022-09-08T15:08:26Z},
 eprint = {2209.03866v1},
 eprintclass = {math.PR},
 eprinttype = {arxiv}
}

@article{BenArous_2019_Geometry,
 author = {Ben Arous, Gérard and Subag, Eliran and Zeitouni, Ofer},
 title = {Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime},
 journal = {Communications on Pure and Applied Mathematics},
 publisher = {Wiley},
 year = {2019},
 month = {11},
 number = {8},
 volume = {73},
 pages = {1732--1828},
 url = {https://doi.org/10.1002%2Fcpa.21875},
 doi = {10.1002/cpa.21875}
}

@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{Castellani_2005_Spin-glass,
 author = {Castellani, Tommaso and Cavagna, Andrea},
 title = {Spin-glass theory for pedestrians},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 publisher = {IOP Publishing},
 year = {2005},
 month = {5},
 number = {05},
 volume = {2005},
 pages = {P05012},
 url = {https://doi.org/10.1088%2F1742-5468%2F2005%2F05%2Fp05012},
 doi = {10.1088/1742-5468/2005/05/p05012}
}

@article{Cavagna_1998_Stationary,
 author = {Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio},
 title = {Stationary points of the {Thouless}-{Anderson}-{Palmer} free energy},
 journal = {Physical Review B},
 publisher = {American Physical Society (APS)},
 year = {1998},
 month = {5},
 number = {18},
 volume = {57},
 pages = {11251--11257},
 url = {https://doi.org/10.1103%2Fphysrevb.57.11251},
 doi = {10.1103/physrevb.57.11251}
}

@article{Cavagna_1999_Quenched,
 author = {Cavagna, Andrea and Garrahan, Juan P and Giardina, Irene},
 title = {Quenched complexity of the mean-field {$p$}-spin spherical model with external magnetic field},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {1999},
 month = {1},
 number = {5},
 volume = {32},
 pages = {711--723},
 doi = {10.1088/0305-4470/32/5/004}
}

@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_2004_Spherical,
 author = {Crisanti, A. and Leuzzi, L.},
 title = {Spherical {$2+p$} Spin-Glass Model: An Exactly Solvable Model for Glass to Spin-Glass Transition},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2004},
 month = {11},
 number = {21},
 volume = {93},
 pages = {217203},
 url = {https://doi.org/10.1103%2Fphysrevlett.93.217203},
 doi = {10.1103/physrevlett.93.217203}
}

@article{Crisanti_2006_Spherical,
 author = {Crisanti, A. and Leuzzi, L.},
 title = {Spherical {$2+p$} spin-glass model: An analytically solvable model with a glass-to-glass transition},
 journal = {Physical Review B},
 publisher = {American Physical Society (APS)},
 year = {2006},
 month = {1},
 number = {1},
 volume = {73},
 pages = {014412},
 url = {https://doi.org/10.1103%2Fphysrevb.73.014412},
 doi = {10.1103/physrevb.73.014412}
}

@article{Crisanti_2007_Amorphous-amorphous,
 author = {Crisanti, Andrea and Leuzzi, Luca},
 title = {Amorphous-amorphous transition and the two-step replica symmetry breaking phase},
 journal = {Physical Review B},
 publisher = {American Physical Society (APS)},
 year = {2007},
 month = {11},
 number = {18},
 volume = {76},
 pages = {184417},
 url = {https://doi.org/10.1103%2Fphysrevb.76.184417},
 doi = {10.1103/physrevb.76.184417}
}

@article{Crisanti_2011_Statistical,
 author = {Crisanti, A. and Leuzzi, L. and Paoluzzi, M.},
 title = {Statistical mechanical approach to secondary processes and structural relaxation in glasses and glass formers},
 journal = {The European Physical Journal E},
 publisher = {Springer Science and Business Media LLC},
 year = {2011},
 month = {9},
 number = {9},
 volume = {34},
 pages = {98},
 url = {https://doi.org/10.1140%2Fepje%2Fi2011-11098-3},
 doi = {10.1140/epje/i2011-11098-3}
}

@article{Dennis_2020_Jamming,
 author = {Dennis, R. C. and Corwin, E. I.},
 title = {Jamming Energy Landscape is Hierarchical and Ultrametric},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2020},
 month = {2},
 number = {7},
 volume = {124},
 pages = {078002},
 url = {https://doi.org/10.1103%2Fphysrevlett.124.078002},
 doi = {10.1103/physrevlett.124.078002}
}

@unpublished{ElAlaoui_2020_Algorithmic,
 author = {El Alaoui, Ahmed and Montanari, Andrea},
 title = {Algorithmic Thresholds in Mean Field Spin Glasses},
 year = {2020},
 month = {Sept},
 archiveprefix = {arXiv},
 date = {2020-09-24T04:22:42Z},
 eprint = {2009.11481v1},
 eprintclass = {cond-mat.stat-mech},
 eprinttype = {arxiv},
 primaryclass = {cond-mat.stat-mech}
}

@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}
}

@unpublished{Folena_2023_On,
 author = {Folena, Giampaolo and Zamponi, Francesco},
 title = {On weak ergodicity breaking in mean-field spin glasses},
 year = {2023},
 month = {Feb},
 archiveprefix = {arXiv},
 date = {2023-02-28T19:02:47Z},
 eprint = {2303.00026v2},
 eprintclass = {cond-mat.dis-nn},
 eprinttype = {arxiv},
 primaryclass = {cond-mat.stat-mech}
}

@article{Fyodorov_2004_Complexity,
 author = {Fyodorov, Yan V.},
 title = {Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2004},
 month = {6},
 number = {24},
 volume = {92},
 pages = {240601},
 url = {https://doi.org/10.1103%2Fphysrevlett.92.240601},
 doi = {10.1103/physrevlett.92.240601}
}

@article{Fyodorov_2007_Density,
 author = {Fyodorov, Y. V. and Sommers, H.-J. and Williams, I.},
 title = {Density of stationary points in a high dimensional random energy landscape and the onset of glassy behavior},
 journal = {JETP Letters},
 publisher = {Pleiades Publishing Ltd},
 year = {2007},
 month = {5},
 number = {5},
 volume = {85},
 pages = {261--266},
 url = {https://doi.org/10.1134%2Fs0021364007050098},
 doi = {10.1134/s0021364007050098}
}

@article{Fyodorov_2012_Critical,
 author = {Fyodorov, Yan V. and Nadal, Celine},
 title = {Critical Behavior of the Number of Minima of a Random Landscape at the Glass Transition Point and the Tracy-Widom Distribution},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2012},
 month = {10},
 number = {16},
 volume = {109},
 pages = {167203},
 url = {https://doi.org/10.1103%2Fphysrevlett.109.167203},
 doi = {10.1103/physrevlett.109.167203}
}

@article{Gershenzon_2023_On-Site,
 author = {Gershenzon, I. and Lacroix-A-Chez-Toine, B. and Raz, O. and Subag, E. and Zeitouni, O.},
 title = {On-Site Potential Creates Complexity in Systems with Disordered Coupling},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2023},
 month = {6},
 number = {23},
 volume = {130},
 pages = {237103},
 url = {https://doi.org/10.1103%2Fphysrevlett.130.237103},
 doi = {10.1103/physrevlett.130.237103}
}

@article{Kent-Dobias_2021_Complex,
 author = {Kent-Dobias, Jaron and Kurchan, Jorge},
 title = {Complex complex landscapes},
 journal = {Physical Review Research},
 publisher = {American Physical Society (APS)},
 year = {2021},
 month = {4},
 number = {2},
 volume = {3},
 pages = {023064},
 url = {https://doi.org/10.1103%2Fphysrevresearch.3.023064},
 doi = {10.1103/physrevresearch.3.023064}
}

@article{Kent-Dobias_2023_How,
 author = {Kent-Dobias, Jaron and Kurchan, Jorge},
 title = {How to count in hierarchical landscapes: a full solution to mean-field complexity},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {2023},
 month = {6},
 number = {6},
 volume = {107},
 pages = {064111},
 url = {https://doi.org/10.1103/PhysRevE.107.064111},
 doi = {10.1103/PhysRevE.107.064111}
}

@article{Krakoviack_2007_Comment,
 author = {Krakoviack, V.},
 title = {Comment on ``Spherical {$2+p$} spin-glass model: An analytically solvable model with a glass-to-glass transition''},
 journal = {Physical Review B},
 publisher = {American Physical Society (APS)},
 year = {2007},
 month = {10},
 number = {13},
 volume = {76},
 pages = {136401},
 url = {https://doi.org/10.1103%2Fphysrevb.76.136401},
 doi = {10.1103/physrevb.76.136401}
}

@article{Krzakala_2007_Landscape,
 author = {Krzakala, Florent and Kurchan, Jorge},
 title = {Landscape analysis of constraint satisfaction problems},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {2007},
 month = {8},
 number = {2},
 volume = {76},
 pages = {021122},
 url = {https://doi.org/10.1103%2Fphysreve.76.021122},
 doi = {10.1103/physreve.76.021122}
}

@article{Muller_2006_Marginal,
 author = {Müller, Markus and Leuzzi, Luca and Crisanti, Andrea},
 title = {Marginal states in mean-field glasses},
 journal = {Physical Review B},
 publisher = {American Physical Society (APS)},
 year = {2006},
 month = {10},
 number = {13},
 volume = {74},
 pages = {134431},
 url = {https://doi.org/10.1103%2Fphysrevb.74.134431},
 doi = {10.1103/physrevb.74.134431}
}

@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_2023_Generalized,
 author = {Ros, Valentina and Roy, Felix and Biroli, Giulio and Bunin, Guy and Turner, Ari M.},
 title = {Generalized {Lotka}-{Volterra} Equations with Random, Nonreciprocal Interactions: The Typical Number of Equilibria},
 journal = {Physical Review Letters},
 publisher = {American Physical Society},
 year = {2023},
 month = {6},
 volume = {130},
 pages = {257401},
 url = {https://link.aps.org/doi/10.1103/PhysRevLett.130.257401},
 doi = {10.1103/PhysRevLett.130.257401},
 issue = {25}
}

@article{Ros_2023_Quenched,
 author = {Ros, Valentina and Roy, Felix and Biroli, Giulio and Bunin, Guy},
 title = {Quenched complexity of equilibria for asymmetric generalized {Lotka}–{Volterra} equations},
 journal = {Journal of Physics A: Mathematical and Theoretical},
 publisher = {IOP Publishing},
 year = {2023},
 month = {7},
 number = {30},
 volume = {56},
 pages = {305003},
 doi = {10.1088/1751-8121/ace00f}
}

@article{Stein_1995_Broken,
 author = {Stein, D. L. and Newman, C. M.},
 title = {Broken ergodicity and the geometry of rugged landscapes},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {1995},
 month = {6},
 number = {6},
 volume = {51},
 pages = {5228--5238},
 url = {https://doi.org/10.1103%2Fphysreve.51.5228},
 doi = {10.1103/physreve.51.5228}
}

@article{Subag_2020_Following,
 author = {Subag, Eliran},
 title = {Following the Ground States of Full-{RSB} Spherical Spin Glasses},
 journal = {Communications on Pure and Applied Mathematics},
 publisher = {Wiley},
 year = {2020},
 month = {6},
 number = {5},
 volume = {74},
 pages = {1021--1044},
 doi = {10.1002/cpa.21922}
}

@article{Wainrib_2013_Topological,
 author = {Wainrib, Gilles and Touboul, Jonathan},
 title = {Topological and Dynamical Complexity of Random Neural Networks},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2013},
 month = {3},
 number = {11},
 volume = {110},
 pages = {118101},
 url = {https://doi.org/10.1103%2Fphysrevlett.110.118101},
 doi = {10.1103/physrevlett.110.118101}
}

@article{Yang_2023_Stochastic,
 author = {Yang, Ning and Tang, Chao and Tu, Yuhai},
 title = {Stochastic Gradient Descent Introduces an Effective Landscape-Dependent Regularization Favoring Flat Solutions},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2023},
 month = {6},
 number = {23},
 volume = {130},
 pages = {237101},
 url = {https://doi.org/10.1103%2Fphysrevlett.130.237101},
 doi = {10.1103/physrevlett.130.237101}
}