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

    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 and spin-glass dynamics

    Ben Arous, G., 2002, Proceedings of the International Congress of Mathematicians. Beijing: Higher Ed. Press, Vol. III. p. 3-14

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    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

    Algorithms for stochastic approximations of curvature flows

    Unal, G., Nain, D., Ben-Arous, G., Shimkin, N., Tannenbaum, A. & Zeitouni, O., 2003, IEEE International Conference on Image Processing. Vol. 2. p. 651-654 4 p.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    A new REM conjecture

    Ben Arous, G., Gayrard, V. & Kuptsov, A., 2008, In and out of equilibrium. Sidoravicius, V. & Vares, M. (eds.). Birkhauser Verlag, Basel, Switzerland: Birkhauser, p. 59-96 37 p. (Progress in Probability; vol. 60).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    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

    Comparing Dynamics: Deep Neural Networks versus Glassy Systems

    Baity-Jest, M., Sagun, L., Mario, G., Spiglery, S., Ben Arous, G., Cammarota, C., LeCun, Y., Vvyart, M. & Biroli, G. J., Jan 1 2018, 35th International Conference on Machine Learning, ICML 2018. Krause, A. & Dy, J. (eds.). International Machine Learning Society (IMLS), Vol. 1. p. 526-535 10 p.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    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 energy landscapes

    Ben Arous, G., Jan 1 2013, XVIIth International Congress on Mathematical Physics: Aalborg, Denmark, 6-11 August 2012. World Scientific Publishing Co., p. 403 1 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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

    Coupling constructions for hypoelliptic diffusions

    Ben Arous, G., Cranston, M. & Kendall, W., 1994, Proceedings of Symposia in Pure Mathematics. American Mathematical Society, p. 193-213

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    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

    Crystalline stochastic systems and curvature driven flows

    Ben Arous, G., Tannenbaum, A. & Zeitouni, O., 2003, Mathematical systems theory in biology, communications and finance. Rosenthal, J. & Gilliam, D. (eds.). New York: Springer Publishing, p. 41-63 (Mathematics and its Applications; vol. 134).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    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

    Explorations on high dimensional landscapes

    Sagun, L., Ugur Güney, V., Ben Arous, G. & LeCun, Y., Jan 1 2015.

    Research output: Contribution to conferencePaper

    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

    Géométrie de la courbe brownienne plane

    Ben Arous, G., 1991, Seminarie Bourbaki, 43rd Year, 1990-1991. p. 7-42 No. 730

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    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

    Grandes déviations de Freidlin-Wentzell en norme holderienne

    Ben Arous, G. & Ledoux, M., 1994, Séminaire de probabilités XXVIII. Springer Verlag, p. 293-299 (Lecture Notes in Mathematics; vol. 1583).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    Growth and saturation in random media

    Ben Arous, G. & Ramírez, A. F., 2000, Stochastic processes, physics and geometry: new interplays. Providence, RI: American Mathematical Society, p. 41-54 (CMS Conf. Proceeding; vol. 28).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    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