@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{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{Biroli_1999_Dynamical,
 author = {Biroli, Giulio},
 title = {Dynamical TAP approach to mean field glassy systems},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {1999},
 month = {11},
 number = {48},
 volume = {32},
 pages = {8365--8388},
 url = {https://doi.org/10.1088%2F0305-4470%2F32%2F48%2F301},
 doi = {10.1088/0305-4470/32/48/301}
}

@article{Bray_1980_Metastable,
 author = {Bray, A J and Moore, M A},
 title = {Metastable states in spin glasses},
 journal = {Journal of Physics C: Solid State Physics},
 publisher = {IOP Publishing},
 year = {1980},
 month = {7},
 number = {19},
 volume = {13},
 pages = {L469--L476},
 url = {https://doi.org/10.1088%2F0022-3719%2F13%2F19%2F002},
 doi = {10.1088/0022-3719/13/19/002}
}

@article{Bray_2007_Statistics,
 author = {Bray, Alan J. and Dean, David S.},
 title = {Statistics of Critical Points of Gaussian Fields on Large-Dimensional Spaces},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2007},
 month = {4},
 number = {15},
 volume = {98},
 pages = {150201},
 url = {https://doi.org/10.1103%2Fphysrevlett.98.150201},
 doi = {10.1103/physrevlett.98.150201}
}

@article{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_2001_Fragile,
 author = {Cavagna, A},
 title = {Fragile vs.\ strong liquids: A saddles-ruled scenario},
 journal = {Europhysics Letters (EPL)},
 publisher = {IOP Publishing},
 year = {2001},
 month = {2},
 number = {4},
 volume = {53},
 pages = {490--496},
 url = {https://doi.org/10.1209%2Fepl%2Fi2001-00179-4},
 doi = {10.1209/epl/i2001-00179-4}
}

@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_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{Folena_2020_Rethinking,
 author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico},
 title = {Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed $p$-Spin Model},
 journal = {Physical Review X},
 publisher = {American Physical Society},
 year = {2020},
 month = {8},
 volume = {10},
 pages = {031045},
 url = {https://link.aps.org/doi/10.1103/PhysRevX.10.031045},
 doi = {10.1103/PhysRevX.10.031045},
 issue = {3},
 numpages = {26}
}

@article{Folena_2021_Gradient,
 author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico},
 title = {Gradient descent dynamics in the mixed $p$-spin spherical model: finite-size simulations and comparison with mean-field integration},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 publisher = {IOP Publishing},
 year = {2021},
 month = {3},
 number = {3},
 volume = {2021},
 pages = {033302},
 url = {https://doi.org/10.1088%2F1742-5468%2Fabe29f},
 doi = {10.1088/1742-5468/abe29f}
}

@article{Folena_2023_On,
 author = {Folena, Giampaolo and Zamponi, Francesco},
 title = {On weak ergodicity breaking in mean-field spin glasses},
 year = {2023},
 month = {2},
 url = {http://arxiv.org/abs/2303.00026v2},
 date = {2023-02-28T19:02:47Z},
 eprint = {2303.00026v2},
 eprintclass = {cond-mat.dis-nn},
 eprinttype = {arxiv}
}

@article{Franz_1995_Recipes,
 author = {Franz, Silvio and Parisi, Giorgio},
 title = {Recipes for Metastable States in Spin Glasses},
 journal = {Journal de Physique I},
 publisher = {EDP Sciences},
 year = {1995},
 month = {11},
 number = {11},
 volume = {5},
 pages = {1401--1415},
 url = {https://doi.org/10.1051%2Fjp1%3A1995201},
 doi = {10.1051/jp1:1995201}
}

@article{Franz_1998_EffectivePotential,
 author = {Franz, Silvio and Parisi, Giorgio},
 title = {Effective potential in glassy systems: theory and simulations},
 journal = {Physica A: Statistical Mechanics and its Applications},
 publisher = {Elsevier BV},
 year = {1998},
 month = {12},
 number = {3-4},
 volume = {261},
 pages = {317--339},
 url = {https://doi.org/10.1016%2Fs0378-4371%2898%2900315-x},
 doi = {10.1016/s0378-4371(98)00315-x}
}

@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{Ikeda_2023_Bose-Einstein-like,
 author = {Ikeda, Harukuni},
 title = {Bose--Einstein-like condensation of deformed random matrix: a replica approach},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 publisher = {IOP Publishing},
 year = {2023},
 month = {2},
 number = {2},
 volume = {2023},
 pages = {023302},
 url = {https://doi.org/10.1088%2F1742-5468%2Facb7d6},
 doi = {10.1088/1742-5468/acb7d6}
}

@article{Kac_1943_On,
 author = {Kac, M.},
 title = {On the average number of real roots of a random algebraic equation},
 journal = {Bulletin of the American Mathematical Society},
 publisher = {American Mathematical Society},
 year = {1943},
 month = {4},
 number = {4},
 volume = {49},
 pages = {314--320},
 url = {https://projecteuclid.org:443/euclid.bams/1183505112}
}

@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{Kirkpatrick_1987_p-spin-interaction,
 author = {Kirkpatrick, T. R. and Thirumalai, D.},
 title = {$p$-spin-interaction spin-glass models: Connections with the structural glass problem},
 journal = {Physical Review B},
 publisher = {American Physical Society (APS)},
 year = {1987},
 month = {10},
 number = {10},
 volume = {36},
 pages = {5388--5397},
 url = {https://doi.org/10.1103%2Fphysrevb.36.5388},
 doi = {10.1103/physrevb.36.5388}
}

@article{Kurchan_1996_Phase,
 author = {Kurchan, Jorge and Laloux, Laurent},
 title = {Phase space geometry and slow dynamics},
 journal = {Journal of Physics A: Mathematical and General},
 publisher = {IOP Publishing},
 year = {1996},
 month = {5},
 number = {9},
 volume = {29},
 pages = {1929--1948},
 url = {https://doi.org/10.1088%2F0305-4470%2F29%2F9%2F009},
 doi = {10.1088/0305-4470/29/9/009}
}

@article{Rice_1944_Mathematical,
 author = {Rice, S. O.},
 title = {Mathematical Analysis of Random Noise},
 journal = {Bell System Technical Journal},
 publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
 year = {1944},
 month = {7},
 number = {3},
 volume = {23},
 pages = {282--332},
 url = {https://doi.org/10.1002%2Fj.1538-7305.1944.tb00874.x},
 doi = {10.1002/j.1538-7305.1944.tb00874.x}
}

@article{Ros_2019_Complex,
 author = {Ros, Valentina and Ben Arous, Gérard and Biroli, Giulio and Cammarota, Chiara},
 title = {Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions},
 journal = {Physical Review X},
 publisher = {American Physical Society (APS)},
 year = {2019},
 month = {1},
 number = {1},
 volume = {9},
 pages = {011003},
 url = {https://doi.org/10.1103%2Fphysrevx.9.011003},
 doi = {10.1103/physrevx.9.011003}
}

@article{Ros_2019_Complexity,
 author = {Ros, V. and Biroli, G. and Cammarota, C.},
 title = {Complexity of energy barriers in mean-field glassy systems},
 journal = {EPL (Europhysics Letters)},
 publisher = {IOP Publishing},
 year = {2019},
 month = {5},
 number = {2},
 volume = {126},
 pages = {20003},
 url = {https://doi.org/10.1209%2F0295-5075%2F126%2F20003},
 doi = {10.1209/0295-5075/126/20003}
}

@article{Ros_2020_Distribution,
 author = {Ros, Valentina},
 title = {Distribution of rare saddles in the $p$-spin energy landscape},
 journal = {Journal of Physics A: Mathematical and Theoretical},
 publisher = {IOP Publishing},
 year = {2020},
 month = {3},
 number = {12},
 volume = {53},
 pages = {125002},
 url = {https://doi.org/10.1088%2F1751-8121%2Fab73ac},
 doi = {10.1088/1751-8121/ab73ac}
}