@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{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}, 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, RĂ©mi}, 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}, 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}, 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}, archiveprefix = {arXiv}, eprint = {2405.06384v1}, eprintclass = {cond-mat.dis-nn}, eprinttype = {arxiv} }