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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 = {J Phys A: Math Gen},
+ 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 = {J Phys A: Math Gen},
+ 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 = {Comm. Pure Appl. Math.},
+ 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 = {Comm Pure Appl Math},
+ 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},
+ url = {http://arxiv.org/abs/2009.11481v1},
+ archiveprefix = {arXiv},
+ eprint = {2009.11481},
+ 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 = {PRX},
+ 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_2022_Analytic,
+ author = {JK-D 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 = {JK-D and Kurchan, Jorge},
+ title = {How to count in hierarchical landscapes: a `full' solution to mean-field
+complexity},
+ year = {2022},
+ url = {http://arxiv.org/abs/2207.06161v2},
+ archiveprefix = {arXiv},
+ eprint = {2207.06161v2},
+ eprintclass = {cond-mat.stat-mech},
+ eprinttype = {arxiv},
+ primaryclass = {cond-mat.stat-mech}
+}
+
+@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},
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+ url = {https://doi.org/10.1103%2Fphysrevlett.116.015902},
+ doi = {10.1103/physrevlett.116.015902}
+}
+
+@article{Mezard_1991_Replica,
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+ publisher = {EDP Sciences},
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+ doi = {10.1051/jp1:1991171}
+}
+
+@article{Mezard_1992_Manifolds,
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+ doi = {10.1051/jp1:1992278}
+}
+
+@article{Parisi_1979_Infinite,
+ author = {Parisi, G.},
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+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
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+ doi = {10.1103/physrevlett.43.1754}
+}
+
+@article{Parisi_1980_Magnetic,
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+}
+
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+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
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+}
+
+@article{Rainone_2016_Following,
+ author = {Rainone, Corrado and Urbani, Pierfrancesco},
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+ publisher = {IOP Publishing},
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+}
+
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+ doi = {10.2307/2371510}
+}
+
+@article{Rieger_1992_The,
+ author = {Rieger, H.},
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+ journal = {Physical Review B},
+ publisher = {American Physical Society (APS)},
+ year = {1992},
+ month = {12},
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+ 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},
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+ 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},
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+ url = {https://doi.org/10.21468%2Fscipostphys.10.1.002},
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+}
+
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+ 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}
+}
+
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+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
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+ number = {16},
+ volume = {109},
+ pages = {167203},
+ url = {https://doi.org/10.1103%2Fphysrevlett.109.167203},
+ doi = {10.1103/physrevlett.109.167203}
+}
+
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+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2004},
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+ doi = {10.1103/physrevlett.92.240601}
+}
+
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+ author = {Wainrib, Gilles and Touboul, Jonathan},
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+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
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+ url = {https://doi.org/10.1103%2Fphysrevlett.110.118101},
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+}
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+}
+
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+ journal = {Journal of Statistical Mechanics: Theory and Experiment},
+ publisher = {IOP Publishing},
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+}
+
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+ author = {Sethna, James P},
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+ publisher = {Oxford University Press},
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+}
+
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+ author = {Cardy, John},
+ title = {Scaling and renormalization in statistical physics},
+ publisher = {Cambridge University Press},
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+}
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+ title = {Normal Form for Renormalization Groups},
+ journal = {Physical Review X},
+ publisher = {American Physical Society (APS)},
+ year = {2019},
+ month = {4},
+ number = {2},
+ volume = {9},
+ pages = {021014},
+ url = {https://doi.org/10.1103%2Fphysrevx.9.021014},
+ doi = {10.1103/physrevx.9.021014}
+}
+
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+ publisher = {IOP Publishing},
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+ volume = {6},
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+}
+
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+ author = {Berezinski\u i, V. L.},
+ title = {Destruction of Long-range Order in One-dimensional and Two-dimensional Systems having a Continuous Symmetry Group {I}: Classical Systems},
+ journal = {Soviet Journal of Experimental and Theoretical Physics},
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+}
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+ journal = {Journal of Physics C: Solid State Physics},
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+}
+
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+ journal = {Physical Review E},
+ publisher = {American Physical Society (APS)},
+ year = {2001},
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+ pages = {041902},
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+ doi = {10.1103/physreve.64.041902}
+}
+
+@article{Dorogovtsev_2001_Anomalous,
+ author = {Dorogovtsev, S. N. and Mendes, J. F. F. and Samukhin, A. N.},
+ title = {Anomalous percolation properties of growing networks},
+ journal = {Physical Review E},
+ publisher = {American Physical Society (APS)},
+ year = {2001},
+ month = {11},
+ number = {6},
+ volume = {64},
+ pages = {066110},
+ url = {https://doi.org/10.1103%2Fphysreve.64.066110},
+ doi = {10.1103/physreve.64.066110}
+}
+
+@article{Pelissetto_2013_Renormalization-group,
+ author = {Pelissetto, Andrea and Vicari, Ettore},
+ title = {Renormalization-group flow and asymptotic behaviors at the {Berezinskii-Kosterlitz-Thouless} transitions},
+ journal = {Physical Review E},
+ publisher = {American Physical Society (APS)},
+ year = {2013},
+ month = {3},
+ number = {3},
+ volume = {87},
+ pages = {032105},
+ url = {https://doi.org/10.1103%2Fphysreve.87.032105},
+ doi = {10.1103/physreve.87.032105}
+}
+
+@article{Thorneywork_2017_Two-dimensional,
+ author = {Thorneywork, Alice L. and Abbott, Joshua L. and Aarts, Dirk G.A. L. and Dullens, Roel P. A.},
+ title = {Two-Dimensional Melting of Colloidal Hard Spheres},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2017},
+ month = {4},
+ number = {15},
+ volume = {118},
+ pages = {158001},
+ url = {https://doi.org/10.1103%2Fphysrevlett.118.158001},
+ doi = {10.1103/physrevlett.118.158001}
+}
+
+@article{Bianconi_2019_Percolation,
+ author = {Bianconi, Ginestra and Kryven, Ivan and Ziff, Robert M.},
+ title = {Percolation on branching simplicial and cell complexes and its relation to interdependent percolation},
+ journal = {Physical Review E},
+ publisher = {American Physical Society (APS)},
+ year = {2019},
+ month = {12},
+ number = {6},
+ volume = {100},
+ pages = {062311},
+ url = {https://doi.org/10.1103%2Fphysreve.100.062311},
+ doi = {10.1103/physreve.100.062311}
+}
+
+@phdthesis{Kent-Dobias_2020_Novel,
+ author = {{\textbf{JK-D}}},
+ title = {Novel Critical Phenomena},
+ publisher = {ProQuest Dissertations Publishing},
+ year = {2020},
+ url = {https://search.proquest.com/pqdtglobal/docview/2449126045/abstract/DA3EA013F5F140D1PQ/1},
+ isbn = {9798672130477},
+ school = {Cornell University}
+}
+
+@article{Kent-Dobias_2015_Energy-driven,
+ author = {{\textbf{JK-D}} and Bernoff, Andrew J.},
+ title = {Energy-driven pattern formation in planar dipole-dipole systems in the presence of weak noise},
+ journal = {PRE},
+ publisher = {American Physical Society (APS)},
+ year = {2015},
+ month = {3},
+ number = {3},
+ volume = {91},
+ pages = {032919},
+ url = {https://doi.org/10.1103%2Fphysreve.91.032919},
+ doi = {10.1103/physreve.91.032919}
+}
+
+@article{Kent-Dobias_2017_Essential,
+ author = {{\textbf{JK-D}} and Sethna, James P.},
+ title = {Essential Singularities in Universal Scaling Functions at the {Ising} Coexistence Line},
+ month = {7},
+ url = {http://arxiv.org/abs/1707.03791v2},
+ eprint = {1707.03791v2},
+ eprintclass = {cond-mat.stat-mech},
+ eprinttype = {arxiv}
+}
+
+@article{Kent-Dobias_2018_Cluster,
+ author = {{\textbf{JK-D}} and Sethna, James P.},
+ title = {Cluster representations and the {Wolff} algorithm in arbitrary external fields},
+ journal = {PRE},
+ publisher = {American Physical Society (APS)},
+ year = {2018},
+ month = {12},
+ number = {6},
+ volume = {98},
+ pages = {063306},
+ url = {https://doi.org/10.1103%2Fphysreve.98.063306},
+ doi = {10.1103/physreve.98.063306}
+}
+
+@article{Kent-Dobias_2020_Elastic,
+ author = {{\textbf{JK-D}} and Matty, Michael and Ramshaw, B. J.},
+ title = {Elastic properties of hidden order in {URu$_2$Si$_2$} are reproduced by a staggered nematic},
+ journal = {PRB},
+ publisher = {American Physical Society},
+ year = {2020},
+ month = {8},
+ volume = {102},
+ pages = {075129},
+ url = {https://link.aps.org/doi/10.1103/PhysRevB.102.075129},
+ doi = {10.1103/PhysRevB.102.075129},
+ issue = {7},
+ numpages = {9}
+}
+
+@article{Kent-Dobias_2021_Complex,
+ author = {{\textbf{JK-D}} and Kurchan, Jorge},
+ title = {Complex complex landscapes},
+ journal = {PRR},
+ 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{Sethna_2017_Deformation,
+ author = {Sethna, James P. and Bierbaum, Matthew K. and Dahmen, Karin A. and Goodrich, Carl P. and Greer, Julia R. and Hayden, Lorien X. and {\textbf{JK-D}} P. and Lee, Edward D. and Liarte, Danilo B. and Ni, Xiaoyue and Quinn, Katherine N. and Raju, Archishman and Rocklin, D. Zeb and Shekhawat, Ashivni and Zapperi, Stefano},
+ title = {Deformation of Crystals},
+ journal = {Annual Review of Materials Research},
+ publisher = {Annual Reviews},
+ year = {2017},
+ month = {7},
+ number = {1},
+ volume = {47},
+ pages = {217},
+ url = {https://doi.org/10.1146%2Fannurev-matsci-070115-032036},
+ doi = {10.1146/annurev-matsci-070115-032036},
+ subtitle = {Connections with Statistical Physics}
+}
+
+@article{Teoh_2020_Visualizing,
+ author = {Teoh, Han Kheng and Quinn, Katherine N. and {\textbf{JK-D}} and Clement, Colin B. and Xu, Qingyang and Sethna, James P.},
+ title = {Visualizing probabilistic models in Minkowski space with intensive symmetrized Kullback-Leibler embedding},
+ journal = {PRR},
+ publisher = {American Physical Society},
+ year = {2020},
+ month = {8},
+ volume = {2},
+ pages = {033221},
+ url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.033221},
+ doi = {10.1103/PhysRevResearch.2.033221},
+ issue = {3},
+ numpages = {16}
+}
+
+@article{Kent-Dobias_2021_Glass,
+  author = {Dong, Junkai and Elser, Veit and Gyawali, Gaurav and Jee, Kai Yen and {\textbf{JK-D}} and Mandaiya, Avinash and Renz, Megan and Su, Yubo},
+  title = {Glass phenomenology in the hard matrix model},
+  journal = {Journal of Statistical Mechanics: Theory and Experiment},
+  publisher = {IOP Publishing},
+  year = {2021},
+  month = {10},
+  pages = {093302},
+  url = {https://doi.org/10.1088/1742-5468/ac1f25},
+  volume = {2021}}
+}
+@article{Martiniani_2023_When,
+ author = {Martiniani, Stefano and Casiulis, Mathias},
+ title = {When you can't count, sample! Computable entropies beyond equilibrium from basin volumes},
+ journal = {Papers in Physics},
+ publisher = {Papers in Physics},
+ year = {2023},
+ month = {2},
+ volume = {15},
+ pages = {150001},
+ url = {https://doi.org/10.4279%2Fpip.150001},
+ doi = {10.4279/pip.150001}
+}
+
+@article{Kent-Dobias_2024_Arrangement,
+ author = {\textbf{JK-D}},
+ title = {Arrangement of nearby minima and saddles in the mixed spherical energy landscapes},
+ journal = {SciPost Physics},
+ publisher = {Stichting SciPost},
+ year = {2024},
+ month = {1},
+ number = {1},
+ volume = {16},
+ pages = {001},
+ url = {http://dx.doi.org/10.21468/SciPostPhys.16.1.001},
+ doi = {10.21468/scipostphys.16.1.001},
+ issn = {2542-4653}
+}
+
+@article{Kent-Dobias_2023_When,
+ author = {\textbf{JK-D}},
+ title = {When is the average number of saddle points typical?},
+ journal = {Europhysics Letters},
+ publisher = {IOP Publishing},
+ year = {2023},
+ month = {8},
+ number = {6},
+ volume = {143},
+ pages = {61003},
+ url = {https://doi.org/10.1209%2F0295-5075%2Facf521},
+ doi = {10.1209/0295-5075/acf521}
+}
+
+@article{Kent-Dobias_2023_How,
+ author = {\textbf{JK-D} 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{Grigera_2002_Geometric,
+ author = {Grigera, Tomás S. and Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio},
+ title = {Geometric Approach to the Dynamic Glass Transition},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2002},
+ month = {1},
+ number = {5},
+ volume = {88},
+ pages = {055502},
+ url = {https://doi.org/10.1103%2Fphysrevlett.88.055502},
+ doi = {10.1103/physrevlett.88.055502}
+}
+
+@article{Broderix_2000_Energy,
+ author = {Broderix, Kurt and Bhattacharya, Kamal K. and Cavagna, Andrea and Zippelius, Annette and Giardina, Irene},
+ title = {Energy Landscape of a {Lennard}-{Jones} Liquid: Statistics of Stationary Points},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2000},
+ month = {12},
+ number = {25},
+ volume = {85},
+ pages = {5360--5363},
+ url = {https://doi.org/10.1103%2Fphysrevlett.85.5360},
+ doi = {10.1103/physrevlett.85.5360}
+}
+
+@unpublished{Kent-Dobias_2024_Conditioning,
+ author = {JK-D},
+ title = {Conditioning the complexity of random landscapes on marginal optima},
+ year = {2024},
+ url = {https://arxiv.org/abs/2407.02082},
+ archiveprefix = {arXiv},
+ eprint = {2407.02082},
+ primaryclass = {cond-mat.dis-nn}
+}
+
+@unpublished{Kent-Dobias_2024_Algorithm-independent,
+ author = {JK-D},
+ title = {Algorithm-independent bounds on complex optimization through the statistics of marginal optima},
+ year = {2024},
+ url = {https://arxiv.org/abs/2407.02092},
+ archiveprefix = {arXiv},
+ eprint = {2407.02092},
+ primaryclass = {cond-mat.dis-nn}
+}
+
+@article{Gamarnik_2021-10_The,
+ author = {Gamarnik, David},
+ title = {The overlap gap property: A topological barrier to optimizing over random structures},
+ journal = {Proceedings of the National Academy of Sciences},
+ publisher = {Proceedings of the National Academy of Sciences},
+ year = {2021},
+ month = {October},
+ number = {41},
+ volume = {118},
+ pages = {e2108492118},
+ url = {http://dx.doi.org/10.1073/pnas.2108492118},
+ doi = {10.1073/pnas.2108492118},
+ issn = {1091-6490}
+}
+
+@article{Folena_2023_On,
+ author = {Folena, Giampaolo and Zamponi, Francesco},
+ title = {On weak ergodicity breaking in mean-field spin glasses},
+ journal = {SciPost Physics},
+ publisher = {Stichting SciPost},
+ year = {2023},
+ month = {9},
+ number = {3},
+ volume = {15},
+ pages = {109},
+ url = {https://doi.org/10.21468%2Fscipostphys.15.3.109},
+ doi = {10.21468/scipostphys.15.3.109}
+}
+
+@article{Kent-Dobias_2024_On,
+ author = {JK-D},
+ title = {On the topology of solutions to random continuous constraint satisfaction problems},
+ year = {2024},
+ month = {sep},
+ url = {http://arxiv.org/abs/2409.12781v2},
+ archiveprefix = {arXiv},
+ eprint = {2409.12781v2},
+ eprintclass = {cond-mat.dis-nn},
+ eprinttype = {arxiv}
+}
+