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@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{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{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{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{Ros_2019_Complex,
author = {Ros, Valentina and Ben Arous, Gerard 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{bray1980metastable,
title={Metastable states in spin glasses},
author={Bray, Alan J and Moore, Michael A},
journal={Journal of Physics C: Solid State Physics},
volume={13},
number={19},
pages={L469},
year={1980},
publisher={IOP Publishing}
}
@article{parisi1979infinite,
title={Infinite number of order parameters for spin-glasses},
author={Parisi, Giorgio},
journal={Physical Review Letters},
volume={43},
number={23},
pages={1754},
year={1979},
publisher={APS}
}
@article{rieger1992number,
title={The number of solutions of the Thouless-Anderson-Palmer equations for p-spin-interaction spin glasses},
author={Rieger, Heiko},
journal={Physical Review B},
volume={46},
number={22},
pages={14655},
year={1992},
publisher={APS}
}
@article{crisanti1995thouless,
title={Thouless-Anderson-Palmer approach to the spherical p-spin spin glass model},
author={Crisanti, Andrea and Sommers, H-J},
journal={Journal de Physique I},
volume={5},
number={7},
pages={805--813},
year={1995},
publisher={EDP Sciences}
}
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