@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{fyodorov2007replica, title={Replica symmetry breaking condition exposed by random matrix calculation of landscape complexity}, author={Fyodorov, Yan V and Williams, Ian}, journal={Journal of Statistical Physics}, volume={129}, number={5}, pages={1081--1116}, year={2007}, publisher={Springer} } @article{mezard1992manifolds, title={Manifolds in random media: two extreme cases}, author={M{\'e}zard, Marc and Parisi, Giorgio}, journal={Journal de Physique I}, volume={2}, number={12}, pages={2231--2242}, year={1992}, publisher={EDP Sciences} } @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} }