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Gerard Ben Arous

Professor of Mathematics

    1982 …2019
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    Research Output 1982 2019

    1983

    Représentation explicite de solutions d'équations stochastiques invariantes sur un groupe de lie

    Ben Arous, G., 1983, Journées société mathématique de France (SMF). Nancy: Institut Elie Cartan, Vol. 7. p. 1-10

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

    1984

    The Poisson kernel for certain degenerate elliptic operators

    Ben Arous, G., Kusuoka, S. & Stroock, D. W., 1984, In : Journal of Functional Analysis. 56, 2, p. 171-209 39 p.

    Research output: Contribution to journalArticle

    Degenerate Elliptic Operators
    Poisson Kernel
    Harmonic Measure
    Nondegeneracy
    Bounded Set
    1987

    Noyau de la chaleur hypoelliptique et géométrie sous-riemannienne

    Ben Arous, G., 1987, Colloque Franco-Japonais de Probabilites. Metivier, M. & Watanabe, S. (eds.). Springer-Verlag, p. 1-16 (Lecture Notes in Mathematics; vol. 1322).

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

    1988

    Méthode de Laplace et de la phase stationnaire sur l'espace de Wiener

    Ben Arous, G., 1988, In : Stochastics. 25, 3, p. 125-153

    Research output: Contribution to journalArticle

    1989

    Flots et series de Taylor stochastiques

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

    Research output: Contribution to journalArticle

    1990

    Methode de Laplace: étude variationnelle des fluctuations de diffusions de type champ moyen

    Ben Arous, G. & Brunaud, M., 1990, In : Stochastics and Stochastic Reports. 31, 1-4, p. 79-144

    Research output: Contribution to journalArticle

    Quelques remarques sur le cut-locus sous-riemannien

    Ben Arous, G. & Léandre, R., 1990, Stochastics, algebra and analysis in classical and quantum dynamics. Albeverio, S. (ed.). Kluwer

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

    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

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

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

    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)

    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., 1992, In : Stochastic Processes and their Applications. 42, 1, p. 171-180 10 p.

    Research output: Contribution to journalArticle

    Brownian movement
    Large Deviations
    Logarithm laws
    Topology
    Norm
    1993

    Laplace asymptotics for reaction-diffusion equations

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

    Research output: Contribution to journalArticle

    Reaction-diffusion Equations
    Laplace
    Small Parameter
    Logarithmic

    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)

    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

    Lie Brackets
    Rate Function
    Empirical Measures
    Large Deviations
    Compact Manifold
    1995

    Large deviations for Langevin spin glass dynamics

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

    Research output: Contribution to journalArticle

    Spin Glass
    Large Deviations
    Empirical Measures
    Large Deviation Principle
    Path Space

    Large deviations for Langevin spin glass dynamics

    Arous, G. B. & Guionnet, A., Sep 1995, In : Probability Theory and Related Fields. 103, 3, p. 431 1 p.

    Research output: Contribution to journalArticle

    Large deviations
    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

    Semiclassical Approximation
    Probabilistic Approach
    Wave Function
    Wiener Measure
    Caustic

    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

    Large Deviations
    Decompose
    Nonlinear Filtering
    Decomposition Theorem
    Diffusion Process

    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
    Ising Model
    Torus
    Magnetic Field
    Three-dimensional

    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., 1996, In : Communications in Mathematical Physics. 179, 2, p. 467-488 22 p.

    Research output: Contribution to journalArticle

    Droplet
    Hypersurface
    Converge
    Gaussian Random Field
    Large Deviation Principle
    1997

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

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

    Research output: Contribution to journalArticle

    Spectral Measure
    Large Deviations
    Large Deviation Principle
    Entropy
    Rate Function

    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

    Spin Glass
    Large Deviations
    Path Space
    Empirical Measures
    Upper bound
    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., 1998, In : Potential Analysis. 8, 3, p. 217-258 42 p.

    Research output: Contribution to journalArticle

    Hypoelliptic Operators
    Probabilistic Approach
    Potential Theory
    Green's function
    Singularity
    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

    Survival Probability
    Saturation
    Trap
    Random Environment
    Enlargement

    Increasing propagation of chaos for mean field models

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

    Research output: Contribution to journalArticle

    Propagation of Chaos
    Mean-field Model
    Asymptotic Independence
    Langevin Dynamics
    Relative Entropy
    2000

    Asymptotic survival probabilities in the random saturation process

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

    Research output: Contribution to journalArticle

    Survival Probability
    Saturation
    Injection
    Trap
    Asymptotic Behavior

    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

    Sierpinski Gasket
    Large Deviation Principle
    Rate Function
    Brownian movement
    Large Deviations
    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

    Spin Glass
    Invariant Measure
    Phase Transition
    Langevin Dynamics
    Equilibrium Measure

    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

    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

    Research output: Contribution to journalArticle

    energy
    spin glass
    traps

    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 2002, In : Communications in Mathematical Physics. 227, 2, p. 281-302 22 p.

    Research output: Contribution to journalArticle

    Shear Flow
    Diffusivity
    homogenizing
    shear flow
    Homogenization
    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

    Crystal growth
    Computer vision

    A two armed bandit type problem

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

    Research output: Contribution to journalArticle

    Multi-armed Bandit
    Multi-armed bandit