Gérard Ben Arous

Courant Institute of Mathematical Sciences — United States

Mathematics · Physical Sciences

40h-index6.1kcitations168works0.02yr avg
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Research Topics

Stochastic processes and statistical mechanics(82), Theoretical and Computational Physics(59), Random Matrices and Applications(37), Markov Chains and Monte Carlo Methods(33), Mathematical Dynamics and Fractals(15)

Publications168 total

Spectral alignment of stochastic gradient descent for high-dimensional classification tasks
The Annals of Applied Probability·2025
Scaling limit for the random walk on critical lattice trees
arXiv (Cornell University)·2025Open Access
Local geometry of high-dimensional mixture models: Effective spectral theory and dynamical transitions
arXiv (Cornell University)·2025Open Access
Permutation recovery of spikes in noisy high-dimensional tensor estimation
arXiv (Cornell University)·2024Open Access
The Larkin Mass and Replica Symmetry Breaking in the Elastic Manifold
arXiv (Cornell University)·2024Open Access
The Free Energy of the Elastic Manifold
arXiv (Cornell University)·2024Open Access
Stochastic gradient descent in high dimensions for multi-spiked tensor PCA
arXiv (Cornell University)·2024Open Access
Langevin dynamics for high-dimensional optimization: the case of multi-spiked tensor PCA
arXiv (Cornell University)·2024Open Access
Backbone scaling limits for random walks on random critical trees
Annales de l Institut Henri Poincaré Probabilités et Statistiques·2024
Long random matrices and tensor unfolding
The Annals of Applied Probability·2023· 4 cited
High‐dimensional limit theorems for SGD: Effective dynamics and critical scaling
Communications on Pure and Applied Mathematics·2023· 17 citedOpen Access
Spectral alignment of stochastic gradient descent for high-dimensional classification tasks
arXiv (Cornell University)·2023· 2 citedOpen Access
Landscape complexity beyond invariance and the elastic manifold
Communications on Pure and Applied Mathematics·2023· 14 cited
Shattering versus metastability in spin glasses
Communications on Pure and Applied Mathematics·2023· 10 citedOpen Access
Exponential growth of random determinants beyond invariance
Probability and Mathematical Physics·2022· 3 citedOpen Access
Free Energy Wells and Overlap Gap Property in Sparse PCA
Communications on Pure and Applied Mathematics·2022· 10 cited
High-dimensional limit theorems for SGD: Effective dynamics and critical scaling
arXiv (Cornell University)·2022· 7 citedOpen Access
Sharp complexity asymptotics and topological trivialization for the (<i>p</i>, <i>k</i>) spiked tensor model
Journal of Mathematical Physics·2022· 4 citedOpen Access
Long Random Matrices and Tensor Unfolding
arXiv (Cornell University)·2021· 2 citedOpen Access
Counting equilibria of large complex systems by instability index
PubMed Central·2021· 40 citedOpen Access
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Frequent Co-authors

Alice Guionnet(7), Jǐŕı Černý(7), Yann LeCun(5), Sandrine Péché(3), Anna Choromanska(3), Mikael Henaff(2), Michaël Mathieu(2), Antonio Auffinger(2), Amir Dembo(2), Rémi Léandre(2), Ofer Zeitouni(2), Stanislav Molchanov(2), Anton Bovier(2), Alexander Fribergh(2), Levent Sagun(2), Jinho Baik(1), Nicolas Champagnat(1), R. Ferričre(1), Leonid V. Bogachev(1), Véronique Gayrard(1)