path: root/marginal.bib

@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{Dean_2006_Large,
 author = {Dean, David S. and Majumdar, Satya N.},
 title = {Large Deviations of Extreme Eigenvalues of Random Matrices},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2006},
 month = {October},
 number = {16},
 volume = {97},
 pages = {160201},
 url = {http://dx.doi.org/10.1103/PhysRevLett.97.160201},
 doi = {10.1103/physrevlett.97.160201},
 issn = {1079-7114}
}

@book{DeWitt_1992_Supermanifolds,
 author = {DeWitt, Bryce S.},
 title = {Supermanifolds},
 publisher = {Cambridge University Press},
 year = {1992},
 address = {Cambridge ; New York},
 edition = {2nd ed},
 isbn = {9780521413206 9780521423779},
 keyword = {Supermanifolds (Mathematics), Mathematical physics},
 series = {Cambridge monographs on mathematical physics}
}

@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_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{Fyodorov_2020_Counting,
 author = {Fyodorov, Y. V. and Tublin, R.},
 title = {Counting Stationary Points of the Loss Function in the Simplest Constrained Least-square Optimization},
 journal = {Acta Physica Polonica B},
 publisher = {Jagiellonian University},
 year = {2020},
 number = {7},
 volume = {51},
 pages = {1663},
 url = {http://dx.doi.org/10.5506/APhysPolB.51.1663},
 doi = {10.5506/aphyspolb.51.1663},
 issn = {1509-5770}
}

@article{Fyodorov_2022_Optimization,
 author = {Fyodorov, Yan V and Tublin, Rashel},
 title = {Optimization landscape in the simplest constrained random least-square problem},
 journal = {Journal of Physics A: Mathematical and Theoretical},
 publisher = {IOP Publishing},
 year = {2022},
 month = {May},
 number = {24},
 volume = {55},
 pages = {244008},
 url = {http://dx.doi.org/10.1088/1751-8121/ac6d8e},
 doi = {10.1088/1751-8121/ac6d8e},
 issn = {1751-8121}
}

@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{Kamali_2023_Dynamical,
 author = {Kamali, Persia Jana and Urbani, Pierfrancesco},
 title = {Dynamical mean field theory for models of confluent tissues and beyond},
 journal = {SciPost Physics},
 publisher = {Stichting SciPost},
 year = {2023},
 month = {November},
 number = {5},
 volume = {15},
 pages = {219},
 url = {http://dx.doi.org/10.21468/SciPostPhys.15.5.219},
 doi = {10.21468/scipostphys.15.5.219},
 issn = {2542-4653}
}

@unpublished{Kamali_2023_Stochastic,
 author = {Kamali, Persia Jana and Urbani, Pierfrancesco},
 title = {Stochastic Gradient Descent outperforms Gradient Descent in recovering a high-dimensional signal in a glassy energy landscape},
 year = {2023},
 month = {sep},
 url = {http://arxiv.org/abs/2309.04788v2},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2309.04788v2},
 eprintclass = {cs.LG},
 eprinttype = {arxiv}
}

@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{Kent-Dobias_2024_Arrangement,
 author = {Kent-Dobias, Jaron},
 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{Kurchan_1992_Supersymmetry,
 author = {Kurchan, J.},
 title = {Supersymmetry in spin glass dynamics},
 journal = {Journal de Physique I},
 publisher = {EDP Sciences},
 year = {1992},
 month = {7},
 number = {7},
 volume = {2},
 pages = {1333--1352},
 url = {https://doi.org/10.1051%2Fjp1%3A1992214},
 doi = {10.1051/jp1:1992214}
}

@article{Monasson_1995_Structural,
 author = {Monasson, Rémi},
 title = {Structural Glass Transition and the Entropy of the Metastable States},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {1995},
 month = {10},
 number = {15},
 volume = {75},
 pages = {2847--2850},
 url = {https://doi.org/10.1103%2Fphysrevlett.75.2847},
 doi = {10.1103/physrevlett.75.2847}
}

@unpublished{Montanari_2023_Solving,
 author = {Montanari, Andrea and Subag, Eliran},
 title = {Solving overparametrized systems of random equations: I. Model and algorithms for approximate solutions},
 year = {2023},
 month = {jun},
 url = {http://arxiv.org/abs/2306.13326v1},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2306.13326v1},
 eprintclass = {math.PR},
 eprinttype = {arxiv}
}

@unpublished{Montanari_2024_On,
 author = {Montanari, Andrea and Subag, Eliran},
 title = {On Smale's 17th problem over the reals},
 year = {2024},
 month = {may},
 url = {http://arxiv.org/abs/2405.01735v1},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2405.01735v1},
 eprintclass = {cs.DS},
 eprinttype = {arxiv}
}

@article{Subag_2020_Following,
 author = {Subag, Eliran},
 title = {Following the Ground States of Full-RSB Spherical Spin Glasses},
 journal = {Communications on Pure and Applied Mathematics},
 publisher = {Wiley},
 year = {2020},
 month = {6},
 number = {5},
 volume = {74},
 pages = {1021--1044},
 url = {https://doi.org/10.1002%2Fcpa.21922},
 doi = {10.1002/cpa.21922}
}

@phdthesis{Tublin_2022_A,
 author = {Tublin, Rashel},
 title = {A Few Results in Random Matrix Theory and Random Optimization},
 year = {2022},
 month = {September},
 url = {https://kclpure.kcl.ac.uk/portal/en/studentTheses/a-few-results-in-random-matrix-theory-and-random-optimization},
 school = {King's College London}
}

@article{Urbani_2023_A,
 author = {Urbani, Pierfrancesco},
 title = {A continuous constraint satisfaction problem for the rigidity transition in confluent tissues},
 journal = {Journal of Physics A: Mathematical and Theoretical},
 publisher = {IOP Publishing},
 year = {2023},
 month = {February},
 number = {11},
 volume = {56},
 pages = {115003},
 url = {http://dx.doi.org/10.1088/1751-8121/acb742},
 doi = {10.1088/1751-8121/acb742},
 issn = {1751-8121}
}

@unpublished{Urbani_2024_Statistical,
 author = {Urbani, Pierfrancesco},
 title = {Statistical physics of complex systems: glasses, spin glasses, continuous constraint satisfaction problems, high-dimensional inference and neural networks},
 year = {2024},
 month = {may},
 url = {http://arxiv.org/abs/2405.06384v1},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2405.06384v1},
 eprintclass = {cond-mat.dis-nn},
 eprinttype = {arxiv}
}