path: root/frsb_kac-rice.bib

@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},
 numpages = {26}
}

@phdthesis{Folena_2020_The,
 author = {Folena, Giampaolo},
 title = {The mixed $p$-spin model: selecting, following and losing states},
 year = {2020},
 month = {3},
 number = {2020UPASS060},
 url = {https://tel.archives-ouvertes.fr/tel-02883385},
 hal_id = {tel-02883385},
 hal_version = {v1},
 school = {Université Paris-Saclay & Università degli studi La Sapienza (Rome)},
 type = {Theses}
}

@article{Fyodorov_2007_Replica,
 author = {Fyodorov, Yan V. and Williams, Ian},
 title = {Replica Symmetry Breaking Condition Exposed by Random Matrix Calculation of Landscape Complexity},
 journal = {Journal of Statistical Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2007},
 month = {9},
 number = {5-6},
 volume = {129},
 pages = {1081--1116},
 url = {https://doi.org/10.1007%2Fs10955-007-9386-x},
 doi = {10.1007/s10955-007-9386-x}
}

@article{Gamarnik_2021_The,
 author = {Gamarnik, David and Jagannath, Aukosh},
 title = {The overlap gap property and approximate message passing algorithms for $p$-spin models},
 journal = {The Annals of Probability},
 publisher = {Institute of Mathematical Statistics},
 year = {2021},
 month = {1},
 number = {1},
 volume = {49},
 pages = {180--205},
 url = {https://doi.org/10.1214%2F20-aop1448},
 doi = {10.1214/20-aop1448}
}

@article{Gardner_1985_Spin,
 author = {Gardner, E.},
 title = {Spin glasses with $p$-spin interactions},
 journal = {Nuclear Physics B},
 publisher = {Elsevier BV},
 year = {1985},
 month = {1},
 volume = {257},
 pages = {747--765},
 url = {https://doi.org/10.1016%2F0550-3213%2885%2990374-8},
 doi = {10.1016/0550-3213(85)90374-8}
}

@article{Geirhos_2018_Johari-Goldstein,
 author = {Geirhos, K. and Lunkenheimer, P. and Loidl, A.},
 title = {Johari-Goldstein Relaxation Far Below 
$T_g$: Experimental Evidence for the Gardner Transition in Structural Glasses?},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2018},
 month = {2},
 number = {8},
 volume = {120},
 pages = {085705},
 url = {https://doi.org/10.1103%2Fphysrevlett.120.085705},
 doi = {10.1103/physrevlett.120.085705}
}

@inproceedings{Giardina_2005_Supersymmetry,
 author = {Giardina, Irene and Cavagna, Andrea and Parisi, Giorgio},
 title = {Supersymmetry and metastability in disordered systems},
 publisher = {World Scientific},
 year = {2005},
 month = {9},
 pages = {204--209},
 url = {https://doi.org/10.1142%2F9789812701558_0023},
 doi = {10.1142/9789812701558_0023},
 booksubtitle = {Proceedings of the 31st Workshop of the International School of Solid State Physics, Erice, Sicily, Italy, 20 – 26 July 2004},
 booktitle = {Complexity, Metastability and Nonextensivity},
 editor = {Beck, C and Benedek, G and Rapisarda, A and Tsallis, C}
}

@article{Gross_1985_Mean-field,
 author = {Gross, D. J. and Kanter, I. and Sompolinsky, H.},
 title = {Mean-field theory of the Potts glass},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {1985},
 month = {7},
 number = {3},
 volume = {55},
 pages = {304--307},
 url = {https://doi.org/10.1103%2Fphysrevlett.55.304},
 doi = {10.1103/physrevlett.55.304}
}

@article{Hammond_2020_Experimental,
 author = {Hammond, Andrew P. and Corwin, Eric I.},
 title = {Experimental observation of the marginal glass phase in a colloidal glass},
 journal = {Proceedings of the National Academy of Sciences},
 publisher = {Proceedings of the National Academy of Sciences},
 year = {2020},
 month = {3},
 number = {11},
 volume = {117},
 pages = {5714--5718},
 url = {https://doi.org/10.1073%2Fpnas.1917283117},
 doi = {10.1073/pnas.1917283117}
}

@article{Hicks_2018_Gardner,
 author = {Hicks, C. L. and Wheatley, M. J. and Godfrey, M. J. and Moore, M. A.},
 title = {Gardner Transition in Physical Dimensions},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2018},
 month = {5},
 number = {22},
 volume = {120},
 pages = {225501},
 url = {https://doi.org/10.1103%2Fphysrevlett.120.225501},
 doi = {10.1103/physrevlett.120.225501}
}

@unpublished{Huang_2021_Tight,
 author = {Huang, Brice and Sellke, Mark},
 title = {Tight Lipschitz Hardness for Optimizing Mean Field Spin Glasses},
 year = {2021},
 month = {10},
 url = {http://arxiv.org/abs/2110.07847v1},
 archiveprefix = {arXiv},
 date = {2021-10-15T04:08:35Z},
 eprint = {2110.07847v1},
 eprintclass = {math.PR},
 eprinttype = {arxiv},
 primaryclass = {cond-mat.stat-mech}
}

@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}
}

@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_2022_Analytic,
 author = {Kent-Dobias, Jaron and Kurchan, Jorge},
 title = {Analytic continuation over complex landscapes},
 journal = {Journal of Physics A: Mathematical and Theoretical},
 publisher = {IOP Publishing},
 year = {2022},
 month = {10},
 number = {43},
 volume = {55},
 pages = {434006},
 url = {https://doi.org/10.1088%2F1751-8121%2Fac9cc7},
 doi = {10.1088/1751-8121/ac9cc7},
 collection = {Random Landscapes and Dynamics in Evolution, Ecology and Beyond}
}

@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},
 urldate = {2022-10-05T20:12:41.619402Z}
}

@article{Li_2021_Determining,
 author = {Li, Huaping and Jin, Yuliang and Jiang, Ying and Chen, Jeff Z. Y.},
 title = {Determining the nonequilibrium criticality of a Gardner transition via a hybrid study of molecular simulations and machine learning},
 journal = {Proceedings of the National Academy of Sciences},
 publisher = {Proceedings of the National Academy of Sciences},
 year = {2021},
 month = {3},
 number = {11},
 volume = {118},
 pages = {e2017392118},
 url = {https://doi.org/10.1073%2Fpnas.2017392118},
 doi = {10.1073/pnas.2017392118}
}

@article{Liao_2019_Hierarchical,
 author = {Liao, Qinyi and Berthier, Ludovic},
 title = {Hierarchical Landscape of Hard Disk Glasses},
 journal = {Physical Review X},
 publisher = {American Physical Society (APS)},
 year = {2019},
 month = {3},
 number = {1},
 volume = {9},
 pages = {011049},
 url = {https://doi.org/10.1103%2Fphysrevx.9.011049},
 doi = {10.1103/physrevx.9.011049}
}

@inproceedings{Maillard_2020_Landscape,
 author = {Maillard, Antoine and Ben Arous, Gérard and Biroli, Giulio},
 title = {Landscape Complexity for the Empirical Risk of Generalized Linear Models},
 publisher = {PMLR},
 year = {2020},
 month = {7},
 volume = {107},
 pages = {287--327},
 url = {https://proceedings.mlr.press/v107/maillard20a.html},
 booktitle = {Proceedings of The First Mathematical and Scientific Machine Learning Conference},
 editor = {Lu, Jianfeng and Ward, Rachel},
 pdf = {http://proceedings.mlr.press/v107/maillard20a/maillard20a.pdf},
 series = {Proceedings of Machine Learning Research}
}

@article{Maimbourg_2016_Solution,
 author = {Maimbourg, Thibaud and Kurchan, Jorge and Zamponi, Francesco},
 title = {Solution of the Dynamics of Liquids in the Large-Dimensional Limit},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2016},
 month = {1},
 number = {1},
 volume = {116},
 pages = {015902},
 url = {https://doi.org/10.1103%2Fphysrevlett.116.015902},
 doi = {10.1103/physrevlett.116.015902}
}

@article{Mezard_1991_Replica,
 author = {Mézard, Marc and Parisi, Giorgio},
 title = {Replica field theory for random manifolds},
 journal = {Journal de Physique I},
 publisher = {EDP Sciences},
 year = {1991},
 month = {6},
 number = {6},
 volume = {1},
 pages = {809--836},
 url = {https://doi.org/10.1051%2Fjp1%3A1991171},
 doi = {10.1051/jp1:1991171}
}

@article{Mezard_1992_Manifolds,
 author = {Mézard, M. and Parisi, G.},
 title = {Manifolds in random media: two extreme cases},
 journal = {Journal de Physique I},
 publisher = {EDP Sciences},
 year = {1992},
 month = {12},
 number = {12},
 volume = {2},
 pages = {2231--2242},
 url = {https://doi.org/10.1051%2Fjp1%3A1992278},
 doi = {10.1051/jp1:1992278}
}

@article{Parisi_1979_Infinite,
 author = {Parisi, G.},
 title = {Infinite Number of Order Parameters for Spin-Glasses},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {1979},
 month = {12},
 number = {23},
 volume = {43},
 pages = {1754--1756},
 url = {https://doi.org/10.1103%2Fphysrevlett.43.1754},
 doi = {10.1103/physrevlett.43.1754}
}

@article{Parisi_1980_Magnetic,
 author = {Parisi, G},
 title = {Magnetic properties of spin glasses in a new mean field theory},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {1980},
 month = {5},
 number = {5},
 volume = {13},
 pages = {1887--1895},
 url = {https://doi.org/10.1088%2F0305-4470%2F13%2F5%2F047},
 doi = {10.1088/0305-4470/13/5/047}
}

@article{Rainone_2015_Following,
 author = {Rainone, Corrado and Urbani, Pierfrancesco and Yoshino, Hajime and Zamponi, Francesco},
 title = {Following the Evolution of Hard Sphere Glasses in Infinite Dimensions under External Perturbations: Compression and Shear Strain},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2015},
 month = {1},
 number = {1},
 volume = {114},
 pages = {015701},
 url = {https://doi.org/10.1103%2Fphysrevlett.114.015701},
 doi = {10.1103/physrevlett.114.015701}
}

@article{Rainone_2016_Following,
 author = {Rainone, Corrado and Urbani, Pierfrancesco},
 title = {Following the evolution of glassy states under external perturbations: the full replica symmetry breaking solution},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 publisher = {IOP Publishing},
 year = {2016},
 month = {5},
 number = {5},
 volume = {2016},
 pages = {053302},
 url = {https://doi.org/10.1088%2F1742-5468%2F2016%2F05%2F053302},
 doi = {10.1088/1742-5468/2016/05/053302}
}

@article{Rice_1939_The,
 author = {Rice, S. O.},
 title = {The Distribution of the Maxima of a Random Curve},
 journal = {American Journal of Mathematics},
 publisher = {JSTOR},
 year = {1939},
 month = {4},
 number = {2},
 volume = {61},
 pages = {409},
 url = {https://doi.org/10.2307%2F2371510},
 doi = {10.2307/2371510}
}

@article{Rieger_1992_The,
 author = {Rieger, H.},
 title = {The number of solutions of the Thouless-Anderson-Palmer equations for $p$-spin-interaction spin glasses},
 journal = {Physical Review B},
 publisher = {American Physical Society (APS)},
 year = {1992},
 month = {12},
 number = {22},
 volume = {46},
 pages = {14655--14661},
 url = {https://doi.org/10.1103%2Fphysrevb.46.14655},
 doi = {10.1103/physrevb.46.14655}
}

@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_2021_Dynamical,
 author = {Ros, Valentina and Biroli, Giulio and Cammarota, Chiara},
 title = {Dynamical instantons and activated processes in mean-field glass models},
 journal = {SciPost Physics},
 publisher = {Stichting SciPost},
 year = {2021},
 month = {1},
 number = {1},
 volume = {10},
 pages = {002},
 url = {https://doi.org/10.21468%2Fscipostphys.10.1.002},
 doi = {10.21468/scipostphys.10.1.002}
}

@article{Seguin_2016_Experimental,
 author = {Seguin, A. and Dauchot, O.},
 title = {Experimental Evidence of the Gardner Phase in a Granular Glass},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2016},
 month = {11},
 number = {22},
 volume = {117},
 pages = {228001},
 url = {https://doi.org/10.1103%2Fphysrevlett.117.228001},
 doi = {10.1103/physrevlett.117.228001}
}

@article{Urbani_2017_Shear,
 author = {Urbani, Pierfrancesco and Zamponi, Francesco},
 title = {Shear Yielding and Shear Jamming of Dense Hard Sphere Glasses},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2017},
 month = {1},
 number = {3},
 volume = {118},
 pages = {038001},
 url = {https://doi.org/10.1103%2Fphysrevlett.118.038001},
 doi = {10.1103/physrevlett.118.038001}
}

@article{Xiao_2022_Probing,
 author = {Xiao, Hongyi and Liu, Andrea J. and Durian, Douglas J.},
 title = {Probing Gardner Physics in an Active Quasithermal Pressure-Controlled Granular System of Noncircular Particles},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2022},
 month = {6},
 number = {24},
 volume = {128},
 pages = {248001},
 url = {https://doi.org/10.1103%2Fphysrevlett.128.248001},
 doi = {10.1103/physrevlett.128.248001}
}


@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{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{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}
}