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

    Article

    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

    Aging in the random energy model

    Arous, G. B., Bovier, A. & Gayrard, V., Feb 25 2002, In : Physical Review Letters. 88, 8, p. 87201/1-87201/4 087201.

    Research output: Contribution to journalArticle

    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

    Aging of spherical spin glasses

    Arous, G. B., Dembo, A. & Guionnet, A., May 2001, In : Probability Theory and Related Fields. 120, 1, p. 1-67 67 p.

    Research output: Contribution to journalArticle

    Annulation plate du noyau de la chaleur hypoelliptique

    Ben Arous, G. & Léandre, R., 1991, In : Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 312, p. 463-464

    Research output: Contribution to journalArticle

    A probabilistic approach to semi-classical approximations

    Ben Arous, G. & Castell, F., Apr 10 1996, In : Journal of Functional Analysis. 137, 1, p. 243-280 38 p.

    Research output: Contribution to journalArticle

    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

    Asymptotic survival probabilities in the random saturation process

    Arous, G. B. & Ramírez, A. F., Oct 1 2000, In : Annals of Probability. 28, 4, p. 1470-1527 58 p.

    Research output: Contribution to journalArticle

    Asymptotiques presque sûres des probabilités de survie dans le processus de saturation aléatoire

    Translated title of the contribution: Quenched asymptotics for survival probabilities in the random saturation processBen Arous, G. & Ramírez, A. F., Dec 1 1999, In : Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 329, 11, p. 1003-1008 6 p.

    Research output: Contribution to journalArticle

    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

    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

    Biased random walks on random graphs

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

    Research output: Contribution to journalArticle

    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

    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

    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

    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

    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

    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

    Decroissance exponentielle du noyau de la chaleur sur la diagonale (I)

    Ben Arous, G. & Léandre, R., Jun 1 1991, In : Probability Theory and Related Fields. 90, 2, p. 175-202 28 p.

    Research output: Contribution to journalArticle

    Décroissance exponentielle du noyau de la chaleur sur la diagonale (II)

    Arous, G. B. & Léandre, R., Sep 1 1991, In : Probability Theory and Related Fields. 90, 3, p. 377-402 26 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

    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

    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

    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

    Flots et series de Taylor stochastiques

    Arous, G. B., Feb 1 1989, In : Probability Theory and Related Fields. 81, 1, p. 29-77 49 p.

    Research output: Contribution to journalArticle

    Flow decomposition and large deviations

    Arous, G. B. & Castell, F., Aug 25 1996, In : Journal of Functional Analysis. 140, 1, p. 23-67 45 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

    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

    Géométrie de la courbe brownienne plane

    Ben Arous, G., 1992, In : Asterisque. 201-202-203

    Research output: Contribution to journalArticle

    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

    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

    Holder norms and the support theorem for diffusions

    Ben Arous, G., Ledoux, M. & Gradinaru, M., 1994, In : Annales de l'Institut Henri Poincaré. 30, 3, p. 415-436

    Research output: Contribution to journalArticle

    Increasing propagation of chaos for mean field models

    Arous, G. B. & Zeitouni, O., Jan 1 1999, In : Annales de l'institut Henri Poincare (B) Probability and Statistics. 35, 1, p. 85-102 18 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

    Laplace asymptotics for reaction-diffusion equations

    Arous, G. B. & Rouault, A., Mar 1 1993, In : Probability Theory and Related Fields. 97, 1-2, p. 259-285 27 p.

    Research output: Contribution to journalArticle

    Large deviations and the Strassen theorem in Hölder norm

    Baldi, P., Ben Arous, G. & Kerkyacharian, G., Aug 1992, In : Stochastic Processes and their Applications. 42, 1, p. 171-180 10 p.

    Research output: Contribution to journalArticle

    Large deviations for Brownian motion on the Sierpinski gasket

    Arous, G. B. & Kumagai, T., Feb 1 2000, In : Stochastic Processes and their Applications. 85, 2, p. 225-235 11 p.

    Research output: Contribution to journalArticle

    Open Access

    Large deviations for Langevin spin glass dynamics

    Arous, G. B. & Guionnet, A., Dec 1 1995, In : Probability Theory and Related Fields. 102, 4, p. 455-509 55 p.

    Research output: Contribution to journalArticle

    Large deviations for Wigner's law and Voiculescu's non-commutative entropy

    Ben Arous, G. & Guionnet, A., Aug 1 1997, In : Probability Theory and Related Fields. 108, 4, p. 517-542 26 p.

    Research output: Contribution to journalArticle

    Large deviations from the circular law

    Ben Arous, G. & Zeitouni, O., 1998, In : ESAIM: Probability and Statistics. 2, p. 123-134

    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

    Large deviations in the Langevin dynamics of a short-range spin glass

    Ben Arous, G. & Sortais, M., Dec 1 2003, In : Bernoulli. 9, 6, p. 921-954 34 p.

    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

    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