No photo of Gerard Ben Arous

Gerard Ben Arous

Professor of Mathematics

    1982 …2020

    Research output per year

    If you made any changes in Pure these will be visible here soon.

    Research Output

    Filter
    Article
    2020

    Bounding Flows for Spherical Spin Glass Dynamics

    Ben Arous, G., Gheissari, R. & Jagannath, A., Feb 1 2020, In : Communications In Mathematical Physics. 373, 3, p. 1011-1048 38 p.

    Research output: Contribution to journalArticle

    2019

    Comparing dynamics: deep neural networks versus glassy systems

    Baity-Jesi, M., Sagun, L., Geiger, M., Spigler, S., Ben Arous, G., Cammarota, C., Lecun, Y., Wyart, M. & Biroli, G., Dec 20 2019, In : Journal of Statistical Mechanics: Theory and Experiment. 2019, 12, 124013.

    Research output: Contribution to journalArticle

    Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions

    Ros, V., Ben Arous, G., Biroli, G. & Cammarota, C., Jan 4 2019, In : Physical Review X. 9, 1, 011003.

    Research output: Contribution to journalArticle

    Open Access

    Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime

    Arous, G. B., Subag, E. & Zeitouni, O., Jan 1 2019, (Accepted/In press) In : Communications on Pure and Applied Mathematics.

    Research output: Contribution to journalArticle

    Scaling limit for the ant in a simple high-dimensional labyrinth

    Ben Arous, G., Cabezas, M. & Fribergh, A., Jun 1 2019, In : Probability Theory and Related Fields. 174, 1-2, p. 553-646 94 p.

    Research output: Contribution to journalArticle

    Scaling Limit for the Ant in High-Dimensional Labyrinths

    Arous, G. B., Cabezas, M. & Fribergh, A., Apr 2019, In : Communications on Pure and Applied Mathematics. 72, 4, p. 669-763 95 p.

    Research output: Contribution to journalArticle

    The Landscape of the Spiked Tensor Model

    Ben Arous, G., Mei, S., Montanari, A. & Nica, M., Jan 1 2019, (Accepted/In press) In : Communications on Pure and Applied Mathematics.

    Research output: Contribution to journalArticle

    2018

    Spectral Gap Estimates in Mean Field Spin Glasses

    Ben Arous, G. & Jagannath, A., May 19 2018, (Accepted/In press) In : Communications in Mathematical Physics. p. 1-52 52 p.

    Research output: Contribution to journalArticle

    2015

    A proof of the Lyons-Pemantle-Peres monotonicity conjecture for high biases

    Ben Arous, G., Fribergh, A. & Sidoravicius, V., 2015, (Accepted/In press) In : Communications on Pure and Applied Mathematics. To appear.

    Research output: Contribution to journalArticle

    On fluctuations of eigenvalues of random permutation matrices

    Arous, G. B. & Dang, K., May 1 2015, In : Annales de l'institut Henri Poincare (B) Probability and Statistics. 51, 2, p. 620-647 28 p.

    Research output: Contribution to journalArticle

    Randomly trapped random walks

    Ben Arous, G., Cabezas, M., Černý, J. & Royfman, R., 2015, In : arXiv. 1302.7227.

    Research output: Contribution to journalArticle

    The loss surfaces of multilayer networks

    Choromanska, A., Henaff, M., Mathieu, M., Ben Arous, G. & LeCun, Y., 2015, In : Journal of Machine Learning Research. 38, p. 192-204 13 p.

    Research output: Contribution to journalArticle

    2014

    Biased random walks on random graphs

    Arous, G. B. & Fribergh, A., Jun 19 2014, In : arXiv.

    Research output: Contribution to journalArticle

    Explorations on high dimensional landscapes

    Sagun, L., Guney, V. U., Arous, G. B. & LeCun, Y., Dec 20 2014, In : arXiv.

    Research output: Contribution to journalArticle

    Lyons-Pemantle-Peres Monotonicity Problem for High Biases

    Ben Arous, G., Fribergh, A. & Sidoravicius, V., Apr 1 2014, In : Communications on Pure and Applied Mathematics. 67, 4, p. 519-530 12 p.

    Research output: Contribution to journalArticle

    Smallest Singular Value for Perturbations of Random Permutation Matrices

    Arous, G. B. & Dang, K., Apr 15 2014, In : arXiv.

    Research output: Contribution to journalArticle

    The Loss Surfaces of Multilayer Networks

    Choromanska, A., Henaff, M., Mathieu, M., Arous, G. B. & LeCun, Y., Nov 30 2014, In : arXiv.

    Research output: Contribution to journalArticle

    2013

    A Central Limit Theorem in Many-Body Quantum Dynamics

    Arous, G. B., Kirkpatrick, K. & Schlein, B., Jul 1 2013, In : Communications In Mathematical Physics. 321, 2, p. 371-417 47 p.

    Research output: Contribution to journalArticle

    Complexity of random smooth functions on the high-dimensional sphere

    Auffinger, A. & Arous, G. B., Nov 1 2013, In : Annals of Probability. 41, 6, p. 4214-4247 34 p.

    Research output: Contribution to journalArticle

    Einstein relation for biased random walk on Galton-Watson trees

    Arous, G. B., Hu, Y., Olla, S. & Zeitouni, O., Aug 1 2013, In : Annales de l'institut Henri Poincare (B) Probability and Statistics. 49, 3, p. 698-721 24 p.

    Research output: Contribution to journalArticle

    Extreme gaps between eigenvalues of random matrices

    Arous, G. B. & Bourgade, P., Aug 20 2013, In : Annals of Probability. 41, 4, p. 2648-2681 34 p.

    Research output: Contribution to journalArticle

    Random matrices and complexity of spin glasses

    Auffinger, A., Arous, G. B. & Černý, J., Feb 1 2013, In : Communications on Pure and Applied Mathematics. 66, 2, p. 165-201 37 p.

    Research output: Contribution to journalArticle

    2012

    Biased random walks on Galton-Watson trees with leaves

    Ben Arous, G., Fribergh, A., Gantert, N. & Hammond, A., Jan 1 2012, In : Annals of Probability. 40, 1, p. 280-338 59 p.

    Research output: Contribution to journalArticle

    Randomly biased walks on subcritical trees

    Ben Arous, G. & Hammond, A., Nov 1 2012, In : Communications on Pure and Applied Mathematics. 65, 11, p. 1481-1527 47 p.

    Research output: Contribution to journalArticle

    Universality and extremal aging for dynamics of spin glasses on subexponential time scales

    Ben Arous, G. & Gün, O., Jan 1 2012, In : Communications on Pure and Applied Mathematics. 65, 1, p. 77-127 51 p.

    Research output: Contribution to journalArticle

    2011

    Current fluctuations for TASEP: A proof of the Prähofer-Spohn conjecture

    Arous, G. B. & Corwin, I., Jan 1 2011, In : Annals of Probability. 39, 1, p. 104-138 35 p.

    Research output: Contribution to journalArticle

    2010

    Free point processes and free extreme values

    Arous, G. B. & Kargin, V., Feb 1 2010, In : Probability Theory and Related Fields. 147, 1, p. 161-183 23 p.

    Research output: Contribution to journalArticle

    2009

    Poisson convergence for the largest eigenvalues of heavy tailed random matrices

    Auffinger, A., Arous, G. B. & Péchéb, S., Aug 1 2009, In : Annales de l'institut Henri Poincare (B) Probability and Statistics. 45, 3, p. 589-610 22 p.

    Research output: Contribution to journalArticle

    2008

    Elementary potential theory on the hypercube

    Arous, G. B. & Gayrard, V., Jan 1 2008, In : Electronic Journal of Probability. 13, p. 1726-1807 82 p.

    Research output: Contribution to journalArticle

    Open Access

    The arcsine law as a universal aging scheme for trap models

    Ben Arous, G. & Černý, J., Mar 1 2008, In : Communications on Pure and Applied Mathematics. 61, 3, p. 289-329 41 p.

    Research output: Contribution to journalArticle

    The spectrum of heavy tailed random matrices

    Arous, G. B. & Guionnet, A., Mar 2008, In : Communications in Mathematical Physics. 278, 3, p. 715-751 37 p.

    Research output: Contribution to journalArticle

    Universality of random energy model-like ageing in mean field spin glasses

    Arous, G. B., Bovier, A. & Černý, J., Apr 1 2008, In : Journal of Statistical Mechanics: Theory and Experiment. 2008, 4, L04003.

    Research output: Contribution to journalArticle

    Universality of the REM for dynamics of mean-field spin glasses

    Arous, G. B., Bovier, A. & Černý, J., Sep 1 2008, In : Communications In Mathematical Physics. 282, 3, p. 663-695 33 p.

    Research output: Contribution to journalArticle

    2007

    Scaling limit for trap models on ℤd

    Arous, G. B. & Černý, J., Dec 1 2007, In : Annals of Probability. 35, 6, p. 2356-2384 29 p.

    Research output: Contribution to journalArticle

    2006

    Aging in two-dimensional Bouchaud's model

    Arous, G. B., Černý, J. & Mountford, T., Jan 1 2006, In : Probability Theory and Related Fields. 134, 1, p. 1-43 43 p.

    Research output: Contribution to journalArticle

    Course 8 Dynamics of trap models

    Arous, G. B. & Černý, J., 2006, In : Les Houches Summer School Proceedings. 83, C, p. 331-394 64 p.

    Research output: Contribution to journalArticle

    Cugliandolo-Kurchan equations for dynamics of spin-glasses

    Ben Arous, G., Dembo, A. & Guionnet, A., Dec 1 2006, In : Probability Theory and Related Fields. 136, 4, p. 619-660 42 p.

    Research output: Contribution to journalArticle

    Free extreme values

    Arous, G. B. & Voiculescu, D. V., Sep 1 2006, In : Annals of Probability. 34, 5, p. 2037-2059 23 p.

    Research output: Contribution to journalArticle

    2005

    Bouchaud's model exhibits two aging regimes in dimension 1

    Ben Arous, G. & Černý, J., 2005, In : Annals of applied probability. 15, 2, p. 1161-1192

    Research output: Contribution to journalArticle

    Limit theorems for sums of random exponentials

    Ben Arous, G., Bogachev, L. V. & Molchanov, S. A., Jul 1 2005, In : Probability Theory and Related Fields. 132, 4, p. 579-612 34 p.

    Research output: Contribution to journalArticle

    Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices

    Baik, J., Arous, G. B. & Péché, S., Sep 1 2005, In : Annals of Probability. 33, 5, p. 1643-1697 55 p.

    Research output: Contribution to journalArticle

    Transition from the annealed to the quenched asymptotics for a random walk on random obstacles

    Arous, G. B., Molchanov, S. & Ramírez, A. F., Nov 1 2005, In : Annals of Probability. 33, 6, p. 2149-2187 39 p.

    Research output: Contribution to journalArticle

    Universality of local eigenvalue statistics for some sample covariance matrices

    Arous, G. B. & Péché, S., Oct 1 2005, In : Communications on Pure and Applied Mathematics. 58, 10, p. 1316-1357 42 p.

    Research output: Contribution to journalArticle

    2004

    Spatio-temporal large deviations principle for coupled circle maps

    Bardet, J. B. & Arous, G. B., Jan 1 2004, In : Annals of Probability. 32, 1 B, p. 692-729 38 p.

    Research output: Contribution to journalArticle

    2003

    A two armed bandit type problem

    Benaïm, M. & Arous, G. B., Dec 1 2003, In : International Journal of Game Theory. 32, 1, p. 3-16 14 p.

    Research output: Contribution to journalArticle

    Glauber dynamics of the random energy model: II. Aging below the critical temperature

    Ben Arous, G., Bovier, A. & Gayrard, V., May 1 2003, In : Communications in Mathematical Physics. 236, 1, p. 1-54 54 p.

    Research output: Contribution to journalArticle

    Glauber dynamics of the random energy model I. Metastable motion on the extreme states

    Ben Arous, G., Bovier, A. & Gayrard, V., Apr 1 2003, In : Communications In Mathematical Physics. 235, 3, p. 379-425 47 p.

    Research output: Contribution to journalArticle

    Internal DLA in a random environment

    Ben Arous, G., Quastel, J. & Ramírez, A. F., Jan 1 2003, In : Annales de l'institut Henri Poincare (B) Probability and Statistics. 39, 2, p. 301-324 24 p.

    Research output: Contribution to journalArticle

    Large deviations in the Langevin dynamics of a random field Ising model

    Arous, G. B. & Sortais, M., Jun 1 2003, In : Stochastic Processes and their Applications. 105, 2, p. 211-255 45 p.

    Research output: Contribution to journalArticle