path: root/frsb_kac-rice.bib

@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{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{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},
 url = {https://doi.org/10.1038%2Fncomms4725},
 doi = {10.1038/ncomms4725}
}

@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{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{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{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{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{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_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{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{cugliandolo1993analytical,
  title={Analytical solution of the off-equilibrium dynamics of a long-range spin-glass model},
  author={Cugliandolo, Leticia F and Kurchan, Jorge},
  journal={Physical Review Letters},
  volume={71},
  number={1},
  pages={173},
  year={1993},
  publisher={APS}
}