No photo of Gerard Ben Arous

Gerard Ben Arous

Professor of Mathematics

    1982 …2019

    Research output per year

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

    Research Output

    2005

    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

    Limit laws for sums of random exponentials

    Ben Arous, G., Bogatchev, L. V. & Molchanov, S., 2004, Recent developments in stochastic analysis and related topics. Hackensack, NJ: World Scientific, p. 45-65

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

    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

    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 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

    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)

    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

    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

    Multiscale Homogenization with Bounded Ratios and Anomalous Slow Diffusion

    Arous, G. B. & Owhadi, H., Jan 1 2003, In : Communications on Pure and Applied Mathematics. 56, 1, p. 80-113 34 p.

    Research output: Contribution to journalArticle

    Stochastic approximations to curve-shortening flows via particle systems

    Arous, G. B., Tannenbaum, A. & Zeitoum, O., Nov 20 2003, In : Journal of Differential Equations. 195, 1, p. 119-142 24 p.

    Research output: Contribution to journalArticle

    2002

    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

    Phase transition for the spherical hierarchical model

    Ben Arous, G., Hryniv, O. & Molchanov, S., 2002, In : Markov Processes and Related Fields. 8, 4, p. 565-594

    Research output: Contribution to journalArticle

    Super-diffusivity in a shear flow model from perpetual homogenization

    Ben Arous, G. & Owhadi, H., May 1 2002, In : Communications In Mathematical Physics. 227, 2, p. 281-302 22 p.

    Research output: Contribution to journalArticle

    2001

    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

    The canonical equation of adaptive dynamics: a mathematical view

    Ben Arous, G., Champagnat, N. & Ferriere, D., 2001, In : Selection. 2, p. 71-81

    Research output: Contribution to journalArticle

    2000

    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

    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)

    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
    1999

    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

    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

    1998

    Langevin dynamics for Sherrington-Kirkpatrick spin glasses

    Ben Arous, G. & Guionnet, A., 1998, Mathematical aspects of spin glasses and neural networks. Birkhauser, p. 321-353 (Progress in Probability; no. 41).

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

    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

    Singularities of Hypoelliptic Green Functions

    Ben Arous, G. & Gradinaru, M., Dec 1 1998, In : Potential Analysis. 8, 3, p. 217-258 42 p.

    Research output: Contribution to journalArticle

    1997

    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

    Symmetric langevin spin glass dynamics

    Ben Arous, G. & Guionnet, A., Jul 1997, In : Annals of Probability. 25, 3, p. 1367-1422 56 p.

    Research output: Contribution to journalArticle

    Open Access
    1996

    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

    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

    Metastability for dynamics of the 3D Ising model

    Ben Arous, G. & Cerf, R., 1996, In : Electronic Journal in Probability. 1

    Research output: Contribution to journalArticle

    Metastability of the three dimensional ising model on a torus at very low temperatures

    Arous, G. B., Jan 1 1996, In : Electronic Journal of Probability. 1, p. 1-55 55 p.

    Research output: Contribution to journalArticle

    Singularités des fonctions de green hypoelliptiques

    Ben Arous, G. & Gradinaru, M., 1996, In : Annales Mathématiques Blaise Pascal. 3

    Research output: Contribution to journalArticle

    The construction of the d + 1-dimensional gaussian droplet

    Ben Arous, G. & Deuschel, J. D., Jan 1 1996, In : Communications In Mathematical Physics. 179, 2, p. 467-488 22 p.

    Research output: Contribution to journalArticle

    1995

    Large deviations for Langevin spin glass dynamics

    Arous, G. B. & Guionnet, A., Sep 1 1995, In : Probability Theory and Related Fields. 103, 3, 1 p.

    Research output: Contribution to journalComment/debate

    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

    1994

    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)

    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)

    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

    The rate function of hypoelliptic diffusions

    Ben Arous, G. & Deuschel, JD. D., 1994, In : Communications on Pure and Applied Mathematics. 47, 6, p. 843-860 18 p.

    Research output: Contribution to journalArticle

    1993

    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

    Normes holderiennes et support des diffusions

    Ben Arous, G. & Gradinaru, M., 1993, In : Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 316, p. 282-286

    Research output: Contribution to journalArticle

    Precise asymptotics in large deviations

    Ben Arous, G., Deuschel, J-D. & Stroock, D. W., 1993, In : Bulletin des Sciences  Mathematiques. 117, 1, p. 107-124

    Research output: Contribution to journalArticle

    Schilder's large deviation theorem without topology

    Ben Arous, G. & Ledoux, M., 1993, Asymptotic problems in probability: Longman Taniguchi Symposium on Stochastic Analysis, Kyoto 1990. E. & I. (eds.). p. 107-122 (Pitman Research Notes; no. 284).

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

    1992

    Géométrie de la courbe brownienne plane

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

    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

    1991

    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