Publications of Gérard Ben Arous


73 Dynamic Universality for Spin Glass dynamics.  G. Ben Arous, Anton Bovier & Jiří Černý. Submitted 2007 pdf
72 A new REM conjecture.  G. Ben Arous, Veronique Gayrard &Alexey Kuptsov. Submitted 2007 pdf
71 The Spectrum of Heavy Tailed Random Matrices.  G. Ben Arous & Alice Guionnet. Submitted 2007 pdf
70 Scaling Limits for Trap models on Z^d.  G. Ben Arous & Jiří Černý. To appear in Annals of Probability 2007 pdf
69 Elementary potential theory on the hypercube.  G. Ben Arous & V. Gayrard. Submitted 2006 pdf
68 Dynamics of Trap Models.  G. Ben Arous & Jiří Černý. Course at the Les Houches Summer School on Mathematical Statistical Physics , Elsevier 2006 pdf
67 The Arcsine Law as a universal aging scheme for Trap models.  G. Ben Arous & Jiří Černý. To appear in Communications in Pure and Applied Mathematics 2006 pdf
66 Phase transition asymptotics for Random Walks on a stationary random potential.  G. Ben Arous, S.Molchanov & A. Ramirez. To appear in the proceedings of the conference in honor of S.Molchanov, Montreal 2006 pdf
65 Aging for Bouchaud's model in dimension two.  Gérard Ben Arous, Jiří Černý & Thomas Mountford. Probability Theory and Related Fields, Vol. 134, No. 1, pp. 1-43, 2006 pdf
64 Cugliandolo-Kurchan Equations for dynamics of Spin Glasses.  G. Ben Arous, A. Dembo & A. Guionnet. Probability Theory and Related Fields, Vol. 136, No. 4, pp. 619-660, 2006 pdf
63 Free Extreme Values. G. Ben Arous & D. Voiculescu. Annals of Probability, Vol. 34, No. 5, pp. 2037-2059, 2006 pdf
62 Phase transition for the largest eigenvalue of large sample covariance matrices. J. Baik, G. Ben Arous & S. Peché. Annals of Probability, Vol. 33, No. 5, pp. 1643-1697, 2005 pdf
61 Universality of local eigenvalue statistics for some sample covariance matrices.  G. Ben Arous & S. Peché. Comm. Pure Appl. Math., Vol. 58, No. 10, pp. 1316-1357, 2005 pdf
60 Bouchaud's model exhibits two different aging regimes in dimension one.  Gérard Ben Arous & Jiří Černý. Ann. Appl. Probab., Vol. 15, No. 2, pp. 1161-1192, 2005 pdf
59 Limit Theorems for Sums of Random Exponentials.  G. Ben Arous, L. Bogatchev & S. Molchanov. Probability Theory and Related Fields, Vol. 132, No. 4, pp. 579-612, 2005 pdf
58 Transition from quenched to annealed asymptotics for random walks among random traps.  G. Ben Arous, S. Molchanov & A. Ramirez. Annals of Probability, Vol. 33, No. 6, pp. 2149-2187, 2005 pdf
57 Limit Laws for Sums of Random Exponentials.  G. Ben Arous, L.Bogatchev, & S. Molchanov. Proceedings of the conference: Recent Developments in Stochastic Analysis and related topics, World Scientific pp. 45-65, 2004 pdf
56 Algorithms for stochastic approximations of curvature flows.  Gozde B. Unal, Delphine Nain, Gérard Ben Arous, Nahum Shimkin, Allen Tannenbaum & Ofer Zeitouni. Proceedings of International Conference on Image Processing, IEEE, Vol. 2, pp. 651-654, 2004 pdf
55 Spatio-temporal large deviations principle for coupled circlemaps.  Jean-Baptiste Bardet & Gérard Ben Arous. Annals of Probability, Vol. 32, No. 1B, pp. 692-729, 2004 pdf
54 Large deviations in the Langevin dynamics of a short-range spin glass.  Gérard Ben Arous & Michel Sortais. Bernoulli, Vol. 9, No. 6, pp. 921-954, 2003 pdf
53 A two armed bandit type problem.  Michel Benaïm & Gérard Ben Arous. Internat. J. Game Theory, Vol. 32, No. 1, pp. 3-16, 2003 pdf
52 Multiscale homogenization with bounded ratios and anomalous slow diffusion.  Gérard Ben Arous & Houman Owhadi. Comm. Pure Appl. Math., Vol. 56, No. 1, pp. 80-113, 2003 pdf
51 Internal DLA in a random environment.  Gérard Ben Arous, Jeremy Quastel & Alejandro F. Ramírez. Ann. Inst. H. Poincaré Probab. Statist., Vol. 39, No. 2, pp. 301-324, 2003 pdf
50 Glauber dynamics of the random energy model. II. Aging below the critical temperature.  Gérard Ben Arous, Anton Bovier & Véronique Gayrard. Comm. Math. Phys., Vol. 236, No. 1, pp. 1-54, 2003 pdf
49 Glauber dynamics of the random energy model. I. Metastable motion on the extreme states.  Gérard Ben Arous, Anton Bovier & Véronique Gayrard. Comm. Math. Phys., Vol. 235, No. 3, pp. 379-425, 2003 pdf
48 Large deviations in the Langevin dynamics of a random field Ising model.  Gérard Ben Arous & Michel Sortais. Stochastic Process. Appl., Vol. 105, No. 2, pp. 211-255, 2003 pdf
47 Crystalline stochastic systems and curvature driven flows.  Gerard Ben Arous, Allen Tannenbaum & Ofer Zeitouni. Mathematical systems theory in biology, communications, computation, and finance (Notre Dame, IN, 2002), IMA Vol. Math. Appl., Vol. 134, pp. 41-61, Springer, 2003 pdf
46 Stochastic approximations to curve-shortening flows via particle systems.  Gérard Ben Arous, Allen Tannenbaum & Ofer Zeitouni. J. Differential Equations, Vol. 195, No. 1, pp. 119-142, 2003 pdf
45 Aging and spin-glass dynamics.  Gérard Ben Arous. Proceedings of the International Congress of Mathematicians,Vol. III (Beijing, 2002), pp. 3-14, 2002 pdf
44 Phase transition for the spherical hierarchical model.  G. Ben Arous, O. Hryniv & S. Molchanov. Markov Process. Related Fields, Vol. 8, No. 4, pp. 565-594, 2002 pdf
43 Aging in the random energy model.  G. Ben Arous, A. Bovier & V. Gayrard. Phys. Rev Letts., Vol. 88, No. 8, pp. 87201, 2002 pdf
42 Super-diffusivity in a shear flow model from perpetual homogenization.  Gérard Ben Arous & Houman Owhadi. Comm. Math. Phys., Vol. 227, No. 2, pp. 281-302, 2002 pdf
41 The canonical equation of adaptive dynamics: a mathematical view..  N. Champagnat, R. Ferrière & G. Ben Arous. Selection, Vol. 2, pp. 73-83, 2001 pdf
40 Aging of spherical spin glasses.  G. Ben Arous, A. Dembo & A. Guionnet. Probab. Theory Related Fields, Vol. 120, No. 1, pp. 1-67, 2001 pdf
39 Growth and saturation in random media.  Gérard Ben Arous & Alejandro F. Ramírez. Stochastic processes, physics and geometry: new interplays, I(Leipzig, 1999), CMS Conf. Proc., Vol. 28, pp. 41-54, Amer. Math. Soc., 2000 pdf
38 Asymptotic survival probabilities in the random saturation process.  Gerard Ben Arous & Alejandro F. Ramírez. Ann. Probab., Vol. 28, No. 4, pp. 1470-1527, 2000 pdf
37 Large deviations of Brownian motion on the Sierpinski gasket.  Gerard Ben Arous & Takashi Kumagai. Stochastic Process. Appl., Vol. 85, No. 2, pp. 225-235, 2000 pdf
36 Quenched asymptotics for survival probabilities in the random saturation process.  Gérard Ben Arous & Alejandro F. Ramírez. C. R. Acad. Sci. Paris Sér. I Math., Vol. 329, No. 11, pp. 1003-1008, 1999 pdf
35 Increasing propagation of chaos for mean field models.  G. Ben Arous & O. Zeitouni. Ann. Inst. H. Poincaré Probab. Statist., Vol. 35, No. 1, pp. 85-102, 1999 pdf
34 Large deviations from the circular law.  Gérard Ben Arous & Ofer Zeitouni. ESAIM Probab. Statist., Vol. 2, pp. 123-134 (electronic), 1998 pdf
33 Singularities of hypoelliptic Green functions.  Gerard Ben Arous & Mihai Gradinaru. Potential Anal., Vol. 8, No. 3, pp. 217-258, 1998 pdf
32 Langevin dynamics for Sherrington-Kirkpatrick spinglasses.  Gerard Ben Arous & Alice Guionnet. Mathematical aspects of spin glasses and neural networks, Progr. Probab., Vol. 41, pp. 323-353, Birkhäuser Boston, 1998 pdf
31 Symmetric Langevin spin glass dynamics.  G. Ben Arous & A. Guionnet. Ann. Probab., Vol. 25, No. 3, pp. 1367-1422, 1997 pdf
30 Large deviations for Wigner's law and Voiculescu's non-commutative entropy.  G. Ben Arous & A. Guionnet. Probab. Theory Related Fields, Vol. 108, No. 4, pp. 517-542, 1997 pdf
29 Singularités des fonctions de Green hypoelliptiques.  Gérard Ben Arous & Mihai Gradinaru. Ann. Math. Blaise Pascal, Vol. 3, No. 1, pp. 23-32, 1996 pdf
28 Metastability of the three-dimensional Ising model on a torus at very low temperatures.  Gérard Ben Arous & Raphaël Cerf. Electron. J. Probab., Vol. 1, pp. no. 10, approx. 55 pp. (electronic), 1996 pdf
27 The construction of the $(d+1)$-dimensional Gaussian droplet.  G. Ben Arous & J.-D. Deuschel. Comm. Math. Phys., Vol. 179, No. 2, pp. 467-488, 1996 pdf
26 A probabilistic approach to semi-classical approximations.  Gérard Ben Arous & Fabienne Castell. J. Funct. Anal., Vol. 137, No. 1, pp. 243-280, 1996 pdf
25 Flow decomposition and large deviations.  Gérard Ben Arous & Fabienne Castell. J. Funct. Anal., Vol. 140, No. 1, pp. 23-67, 1996 pdf
24 Large deviations for Langevin spin glass dynamics.  G. Ben Arous & A. Guionnet. Probab. Theory Related Fields, Vol. 102, No. 4, pp. 455-509, 1995 pdf
23 Coupling constructions for hypoelliptic diffusions: two examples.  Gérard Ben Arous, Michael Cranston & Wilfrid S. Kendall. Stochastic analysis (Ithaca, NY, 1993), Proc. Sympos. Pure Math., Vol. 57, pp. 193-212, Amer. Math. Soc., 1995 pdf
22 Grandes déviations de Freidlin-Wentzell en norme hölderienne.  G. Ben Arous & M. Ledoux. Séminaire de Probabilités, XXVIII, Lecture Notes in Math., Vol. 1583, pp. 293-299, Springer, 1994 pdf
21 The rate function of hypoelliptic diffusions.  Gérard Ben Arous & Jean-Dominique Deuschel. Comm. Pure Appl. Math., Vol. 47, No. 6, pp. 843-860, 1994 pdf
20 Hölder norms and the support theorem for diffusions.  Gérard Ben Arous, Mihai Grădinaru & Michel Ledoux. Ann. Inst. H. Poincaré Probab. Statist., Vol. 30, No. 3, pp. 415-436, 1994 pdf
19 Normes hölderiennes et support des diffusions.  Gérard Ben Arous & Mihai Grădinaru. C. R. Acad. Sci. Paris Sér. I Math., Vol. 316, No. 3, pp. 283-286, 1993 pdf
18 Precise asymptotics in large deviations.  Gérard Ben Arous, Jean-Dominique Deuschel & D. W. Stroock. Bull. Sci. Math., Vol. 117, No. 1, pp. 107-124, 1993 pdf
17 Laplace asymptotics for reaction-diffusion equations.  Gérard Ben Arous & Alain Rouault. Probab. Theory Related Fields, Vol. 97, No. 1-2, pp. 259-285, 1993 pdf
16 Schilder's large deviation principle without topology.  G. Ben Arous & M. Ledoux. Asymptotic problems in probability theory: Wiener functionals and asymptotics (Sanda/Kyoto, 1990), Pitman Res. Notes Math. Ser., Vol. 284, pp. 107-121, Longman Sci. Tech., 1993 pdf
15 Large deviations and the Strassen theorem in Höldernorm.  P. Baldi, G. Ben Arous & G. Kerkyacharian. Stochastic Process. Appl., Vol. 42, No. 1, pp. 171-180, 1992 pdf
14 Géométrie de la courbe brownienne plane.  Gérard Ben Arous. Astérisque, Vol. 201--203, No. 201-203, pp. Exp. No. 730, 7-42 (1992), 1991 pdf
13 Annulation plate du noyau de la chaleur.  Gérard Ben Arous & Rémi Léandre. C. R. Acad. Sci. Paris Sér. I Math., Vol. 312, No. 6, pp. 463-464, 1991 pdf
12 Décroissance exponentielle du noyau de la chaleur sur la diagonale. II.  G. Ben Arous & R. Léandre. Probab. Theory Related Fields, Vol. 90, No. 3, pp. 377-402, 1991 pdf
11 Décroissance exponentielle du noyau de la chaleur sur la diagonale. I.  G. Ben Arous & R. Léandre. Probab. Theory Related Fields, Vol. 90, No. 2, pp. 175-202, 1991 pdf
10 Méthode de Laplace: étude variationnelle des fluctuations de diffusions de type ``champ moyen''.  Gérard Ben Arous & Marc Brunaud. Stochastics Stochastics Rep., Vol. 31, No. 1-4, pp. 79-144, 1990 pdf
9 Quelques remarques sur le cut-locus sous-Riemannien.  G. Ben Arous & R. Léandre. Stochastics, algebra and analysis in classical and quantum dynamics (Marseille, 1988), Math. Appl., Vol. 59, pp. 15-22, Kluwer Acad. Publ., 1990 pdf
8 Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale.  Gérard Ben Arous. Ann. Inst. Fourier (Grenoble), Vol. 39, No. 1, pp. 73-99, 1989 pdf
7 Flots et séries de Taylor stochastiques.  Gérard Ben Arous. Probab. Theory Related Fields, Vol. 81, No. 1, pp. 29-77, 1989 pdf
6 Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus.  G. Ben Arous. Ann. Sci. École Norm. Sup. (4), Vol. 21, No. 3, pp. 307-331, 1988 pdf
5 Methods de Laplace et de la phase stationnaire sur l'espace de Wiener.  Gérard Ben Arous. Stochastics, Vol. 25, No. 3, pp. 125-153, 1988 pdf
4 Noyau de la chaleur hypoelliptique et géométrie sous-riemannienne.  Gérard Ben Arous. Stochastic analysis (Paris, 1987), Lecture Notes in Math., Vol. 1322, pp. 1-16, Springer, 1988 pdf
3 The Poisson kernel for certain degenerate elliptic operators.  Gérard Ben Arous, Shigeo Kusuoka & Daniel W. Stroock. J. Funct. Anal., Vol. 56, No. 2, pp. 171-209, 1984 pdf
2 Représentation explicite des solutions d'équations stochastiques invariantes sur un groupe de Lie.  G. Ben Arous. Random walks and stochastic processes on Lie groups (Nancy,1981), Inst. Élie Cartan, Vol. 7, pp. 1-10, Univ. Nancy, 198301. Équations stochastiques à coefficients analytiques et séries de Taylor stochastiques.  G. Ben Arous. Ann. Sci. Univ. Clermont-Ferrand II Math., No. 20, pp. 55-69, 1982 pdf
1 Équations stochastiques à coefficients analytiques et séries de Taylor stochastiques.  G. Ben Arous. Ann. Sci. Univ. Clermont-Ferrand II Math., No. 20, pp. 55-69, 1982 pdf