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@article{Albert_2021_Searching,
 author = {Albert, Samuel and Biroli, Giulio and Ladieu, François and Tourbot, Roland and Urbani, Pierfrancesco},
 title = {Searching for the Gardner Transition in Glassy Glycerol},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2021},
 month = {1},
 number = {2},
 volume = {126},
 pages = {028001},
 url = {https://doi.org/10.1103%2Fphysrevlett.126.028001},
 doi = {10.1103/physrevlett.126.028001}
}

@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}
}

@article{Annibale_2003_Supersymmetric,
 author = {Annibale, Alessia and Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio},
 title = {Supersymmetric complexity in the Sherrington-Kirkpatrick model},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {2003},
 month = {12},
 number = {6},
 volume = {68},
 pages = {061103},
 url = {https://doi.org/10.1103%2Fphysreve.68.061103},
 doi = {10.1103/physreve.68.061103}
}

@article{Annibale_2003_The,
 author = {Annibale, Alessia and Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio and Trevigne, Elisa},
 title = {The role of the Becchi--Rouet--Stora--Tyutin supersymmetry in the calculation of the complexity for the Sherrington--Kirkpatrick model},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {2003},
 month = {10},
 number = {43},
 volume = {36},
 pages = {10937--10953},
 url = {https://doi.org/10.1088%2F0305-4470%2F36%2F43%2F018},
 doi = {10.1088/0305-4470/36/43/018}
}

@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{Auffinger_2012_Random,
 author = {Auffinger, Antonio and Ben Arous, Gérard and Černý, Jiří},
 title = {Random Matrices and Complexity of Spin Glasses},
 journal = {Communications on Pure and Applied Mathematics},
 publisher = {Wiley},
 year = {2012},
 month = {9},
 number = {2},
 volume = {66},
 pages = {165--201},
 url = {https://doi.org/10.1002%2Fcpa.21422},
 doi = {10.1002/cpa.21422}
}

@article{Auffinger_2013_Complexity,
 author = {Auffinger, Antonio and Ben Arous, Gérard},
 title = {Complexity of random smooth functions on the high-dimensional sphere},
 journal = {The Annals of Probability},
 publisher = {Institute of Mathematical Statistics},
 year = {2013},
 month = {11},
 number = {6},
 volume = {41},
 pages = {4214--4247},
 url = {https://doi.org/10.1214%2F13-aop862},
 doi = {10.1214/13-aop862}
}

@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{Berthier_2019_Gardner,
 author = {Berthier, Ludovic and Biroli, Giulio and Charbonneau, Patrick and Corwin, Eric I. and Franz, Silvio and Zamponi, Francesco},
 title = {Gardner physics in amorphous solids and beyond},
 journal = {The Journal of Chemical Physics},
 publisher = {AIP Publishing},
 year = {2019},
 month = {7},
 number = {1},
 volume = {151},
 pages = {010901},
 url = {https://doi.org/10.1063%2F1.5097175},
 doi = {10.1063/1.5097175}
}

@article{Biroli_2016_Breakdown,
 author = {Biroli, Giulio and Urbani, Pierfrancesco},
 title = {Breakdown of elasticity in amorphous solids},
 journal = {Nature Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2016},
 month = {8},
 number = {12},
 volume = {12},
 pages = {1130--1133},
 url = {https://doi.org/10.1038%2Fnphys3845},
 doi = {10.1038/nphys3845}
}

@article{Biroli_2018_Liu-Nagel,
 author = {Biroli, Giulio and Urbani, Pierfrancesco},
 title = {Liu-Nagel phase diagrams in infinite dimension},
 journal = {SciPost Physics},
 publisher = {Stichting SciPost},
 year = {2018},
 month = {4},
 number = {4},
 volume = {4},
 pages = {020},
 url = {https://doi.org/10.21468%2Fscipostphys.4.4.020},
 doi = {10.21468/scipostphys.4.4.020}
}

@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{Cavagna_1997_An,
 author = {Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio},
 title = {An investigation of the hidden structure of states in a mean-field spin-glass model},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {1997},
 month = {10},
 number = {20},
 volume = {30},
 pages = {7021--7038},
 url = {https://doi.org/10.1088%2F0305-4470%2F30%2F20%2F009},
 doi = {10.1088/0305-4470/30/20/009}
}

@article{Cavagna_1997_Structure,
 author = {Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio},
 title = {Structure of metastable states in spin glasses by means of a three replica potential},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {1997},
 month = {7},
 number = {13},
 volume = {30},
 pages = {4449--4466},
 url = {https://doi.org/10.1088%2F0305-4470%2F30%2F13%2F004},
 doi = {10.1088/0305-4470/30/13/004}
}

@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_2005_Cavity,
 author = {Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio},
 title = {Cavity method for supersymmetry-breaking spin glasses},
 journal = {Physical Review B},
 publisher = {American Physical Society (APS)},
 year = {2005},
 month = {1},
 number = {2},
 volume = {71},
 pages = {024422},
 url = {https://doi.org/10.1103%2Fphysrevb.71.024422},
 doi = {10.1103/physrevb.71.024422}
}

@article{Charbonneau_2014_Fractal,
 author = {Charbonneau, Patrick and Kurchan, Jorge and Parisi, Giorgio and Urbani, Pierfrancesco and Zamponi, Francesco},
 title = {Fractal free energy landscapes in structural glasses},
 journal = {Nature Communications},
 publisher = {Springer Science and Business Media LLC},
 year = {2014},
 month = {4},
 number = {1},
 volume = {5},
 pages = {3725},
 url = {https://doi.org/10.1038%2Fncomms4725},
 doi = {10.1038/ncomms4725}
}

@article{Charbonneau_2015_Numerical,
 author = {Charbonneau, Patrick and Jin, Yuliang and Parisi, Giorgio and Rainone, Corrado and Seoane, Beatriz and Zamponi, Francesco},
 title = {Numerical detection of the Gardner transition in a mean-field glass former},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {2015},
 month = {7},
 number = {1},
 volume = {92},
 pages = {012316},
 url = {https://doi.org/10.1103%2Fphysreve.92.012316},
 doi = {10.1103/physreve.92.012316}
}

@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{Crisanti_1995_Thouless-Anderson-Palmer,
 author = {Crisanti, A. and Sommers, H.-J.},
 title = {{Thouless}-{Anderson}-{Palmer} Approach to the Spherical $p$-Spin Spin Glass Model},
 journal = {Journal de Physique I},
 publisher = {EDP Sciences},
 year = {1995},
 month = {7},
 number = {7},
 volume = {5},
 pages = {805--813},
 url = {https://doi.org/10.1051%2Fjp1%3A1995164},
 doi = {10.1051/jp1:1995164}
}

@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_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{Cugliandolo_1993_Analytical,
 author = {Cugliandolo, L. F. and Kurchan, J.},
 title = {Analytical solution of the off-equilibrium dynamics of a long-range spin-glass model},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {1993},
 month = {7},
 number = {1},
 volume = {71},
 pages = {173--176},
 url = {https://doi.org/10.1103%2Fphysrevlett.71.173},
 doi = {10.1103/physrevlett.71.173}
}

@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 = {9},
 url = {http://arxiv.org/abs/2009.11481v1},
 archiveprefix = {arXiv},
 date = {2020-09-24T04:22:42Z},
 eprint = {2009.11481v1},
 eprintclass = {cond-mat.stat-mech},
 eprinttype = {arxiv},
 primaryclass = {cond-mat.stat-mech}
}

@article{ElAlaoui_2021_Optimization,
 author = {El Alaoui, Ahmed and Montanari, Andrea and Sellke, Mark},
 title = {Optimization of mean-field spin glasses},
 journal = {The Annals of Probability},
 publisher = {Institute of Mathematical Statistics},
 year = {2021},
 month = {11},
 number = {6},
 volume = {49},
 pages = {2922--2960},
 url = {https://doi.org/10.1214%2F21-aop1519},
 doi = {10.1214/21-aop1519}
}

@unpublished{ElAlaoui_2022_Sampling,
 author = {El Alaoui, Ahmed and Montanari, Andrea and Sellke, Mark},
 title = {Sampling from the Sherrington-Kirkpatrick Gibbs measure via algorithmic
stochastic localization},
 year = {2022},
 month = {3},
 url = {http://arxiv.org/abs/2203.05093v1},
 archiveprefix = {arXiv},
 date = {2022-03-10T00:15:22Z},
 eprint = {2203.05093v1},
 eprintclass = {math.PR},
 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},
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