Edit Profile (opens in new tab) Ben Arous, Gérard Compute Distance To: Compute Author ID: ben-arous.gerard Published as: Ben Arous, Gérard; Ben Arous, G.; Ben Arous, Gerard; Arous, Gérard Ben; Arous, Gerard Ben more...less Homepage: http://www.cims.nyu.edu/~benarous/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Member of Collective: Bourbaki, Nicolas Documents Indexed: 101 Publications since 1981 2 Contributions as Editor Co-Authors: 73 Co-Authors with 94 Joint Publications 1,829 Co-Co-Authors all top 5 Co-Authors 9 single-authored 9 Černý, Jiří 8 Guionnet, Alice 8 Ramírez, Alejandro F. 6 Zeitouni, Ofer 5 Fribergh, Alexander 5 Molchanov, Stanislav Alekseevich 4 Auffinger, Antonio 4 Bovier, Anton 4 Gayrard, Véronique 4 Gradinaru, Mihai 4 Jagannath, Aukosh 4 Léandre, Rémi 3 Cabezas, Manuel 3 Deuschel, Jean-Dominique 3 Gheissari, Reza 3 Ledoux, Michel 3 Péché, Sandrine 2 Bogachev, Leonid V. 2 Bourgade, Paul 2 Castell, Fabienne 2 Dembo, Amir 2 Hammond, Alan 2 Kuptsov, Alexey 2 Owhadi, Houman 2 Sidoravicius, Vladas 2 Sortais, Michel 2 Stroock, Daniel W. 2 Tannenbaum, Allen Robert 1 Baik, Jinho 1 Baity-Jesi, Marco 1 Baldi, Paolo 1 Bardet, Jean-Baptiste 1 Benaïm, Michel 1 Biroli, Giulio 1 Brunaud, Marc 1 Cammarota, Chiara 1 Cerf, Raphaël 1 Corwin, Ivan Z. 1 Cranston, Michael Craig 1 Cruzeiro, Ana-Bela 1 Dang, Kim 1 Ferrari, Pablo Augusto 1 Gantert, Nina 1 Geiger, Mario 1 Gün, Onur 1 Hryniv, Ostap 1 Hu, Yueyun 1 Kargin, Vladislav 1 Kendall, Wilfrid S. 1 Kerkyacharian, Gérard 1 Kirkpatrick, Kay L. 1 Kumagai, Takashi 1 Kusuoka, Shigeo 1 Laurence, Peter 1 Le Jan, Yves 1 LeCun, Yann 1 Li, Zhehua 1 Mckenna, Benjamin 1 Mei, Song 1 Mountford, Thomas S. 1 Newman, Charles Michael 1 Olla, Stefano 1 Quastel, Jeremy 1 Rouault, Alain 1 Royfman, Roman 1 Sagun, Levent 1 Schlein, Benjamin 1 Spigler, Stefano 1 Subag, Eliran 1 Vares, Maria Eulalia 1 Voiculescu, Dan-Virgil 1 Wyart, Matthieu 1 Zambrini, Jean-Claude all top 5 Serials 13 The Annals of Probability 12 Probability Theory and Related Fields 11 Communications on Pure and Applied Mathematics 9 Communications in Mathematical Physics 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Functional Analysis 3 Stochastic Processes and their Applications 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Electronic Journal of Probability 2 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Mathematical Physics 1 Stochastics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 International Journal of Game Theory 1 Journal of Differential Equations 1 The Annals of Applied Probability 1 Stochastics and Stochastics Reports 1 Potential Analysis 1 Annales Mathématiques Blaise Pascal 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Markov Processes and Related Fields 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Machine Learning Research (JMLR) 1 Institut Élie Cartan, Université de Nancy I 1 Springer Proceedings in Mathematics & Statistics 1 Probability and Mathematical Physics all top 5 Fields 83 Probability theory and stochastic processes (60-XX) 43 Statistical mechanics, structure of matter (82-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 9 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Statistics (62-XX) 4 Combinatorics (05-XX) 4 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,849 times in 1,200 Documents Cited by ▼ Year ▼ Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Zbl 1086.15022Baik, Jinho; Ben Arous, Gérard; Péché, Sandrine 248 2005 Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy. Zbl 0954.60029Ben Arous, G.; Guionnet, A. 118 1997 Exponential decay of the heat kernel over the diagonal. II. (Décroissance exponentielle du noyau de la chaleur sur la diagonale. II.) Zbl 0734.60027Ben Arous, G.; Léandre, R. 74 1991 Aging of spherical spin glasses. Zbl 0993.60055Ben Arous, G.; Dembo, A.; Guionnet, A. 70 2001 Random matrices and complexity of spin glasses. Zbl 1269.82066Auffinger, Antonio; Ben Arous, Gérard; Černý, Jiří 66 2013 Asymptotic expansion of the hypoelliptic heat kernel outside of the cut-locus. (Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus.) Zbl 0699.35047Ben Arous, G. 51 1988 Complexity of random smooth functions on the high-dimensional sphere. Zbl 1288.15045Auffinger, Antonio; Ben Arous, Gerard 46 2013 Stochastic flows and Taylor series. (Flots et séries de Taylor stochastiques.) Zbl 0639.60062Ben Arous, Gérard 44 1989 Scaling limit for trap models on \(\mathbb Z^d\). Zbl 1134.60064Ben Arous, Gérard; Černý, Jiří 42 2007 The Laplace and the stationary phase methods on Wiener space. (Méthode de Laplace et de la phase stationnaire sur l’espace de Wiener.) Zbl 0666.60026Ben Arous, Gérard 41 1988 Large deviations from the circular law. Zbl 0916.60022Ben Arous, Gérard; Zeituni, Ofer 40 1998 Poisson convergence for the largest eigenvalues of heavy tailed random matrices. Zbl 1177.15037Auffinger, Antonio; Ben Arous, Gérard; Péché, Sandrine 40 2009 Glauber dynamics of the random energy model. II: Aging below the critical temperature. Zbl 1037.82039Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique 38 2003 The spectrum of heavy tailed random matrices. Zbl 1157.60005Ben Arous, Gérard; Guionnet, Alice 37 2008 Large deviations and the Strassen theorem in Hölder norm. Zbl 0757.60014Baldi, P.; Ben Arous, G.; Kerkyacharian, G. 36 1992 Universality of local eigenvalue statistics for some sample covariance matrices. Zbl 1075.62014Ben Arous, G.; Péché, S. 35 2005 Asymptotic expansion of the hypoelliptic heat kernel on the diagonal. (Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale.) Zbl 0659.35024Ben Arous, Gérard 34 1989 The arcsine law as a universal aging scheme for trap models. Zbl 1141.60075Ben Arous, Gérard; Černý, Jiří 33 2008 Glauber dynamics of the random energy model. I: Metastable motion on the extreme states. Zbl 1037.82038Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique 30 2003 Current fluctuations for TASEP: A proof of the Prähofer-Spohn conjecture. Zbl 1208.82036Ben Arous, Gérard; Corwin, Ivan 30 2011 Dynamics of trap models. Zbl 1458.82019Ben Arous, Gérard; Černý, Jiří 29 2006 Biased random walks on Galton-Watson trees with leaves. Zbl 1239.60091Ben Arous, Gérard; Fribergh, Alexander; Gantert, Nina; Hammond, Alan 29 2012 Large deviations for Langevin spin glass dynamics. Zbl 0830.60017Ben Arous, G.; Guionnet, A. 28 1995 A central limit theorem in many-body quantum dynamics. Zbl 1280.81157Arous, Gérard Ben; Kirkpatrick, Kay; Schlein, Benjamin 27 2013 Aging in two-dimensional Bouchaud’s model. Zbl 1089.82017Ben Arous, Gérard; Černý, Jiří; Mountford, Thomas 25 2006 Limit theorems for sums of random exponentials. Zbl 1073.60017Ben Arous, Gérard; Bogachev, Leonid V.; Molchanov, Stanislav A. 25 2005 Laplace method: variational study of fluctuations of diffusions of “mean-field” type). (Méthode de Laplace: Étude variationnelle des fluctuations de diffusions de type “champ moyen”.) Zbl 0705.60046Ben Arous, Gérard; Brunaud, Marc 24 1990 Extreme gaps between eigenvalues of random matrices. Zbl 1282.60008Ben Arous, Gérard; Bourgade, Paul 22 2013 Décroissance exponentielle du noyau de la chaleur sur la diagonale. I. (Exponential decay of the heat kernel over the diagonal. I). Zbl 0734.60026Ben Arous, G.; Léandre, R. 22 1991 Universality of the REM for dynamics of mean-field spin glasses. Zbl 1208.82024Ben Arous, Gérard; Bovier, Anton; Černý, Jiří 22 2008 Bouchaud’s model exhibits two different aging regimes in dimension one. Zbl 1069.60092Ben Arous, Gérard; Černý, Jiří 21 2005 Metastability of the three dimensional Ising model on a torus at very low temperatures. Zbl 0888.60057Ben Arous, Gérard; Cerf, Raphaël 20 1996 Biased random walks on random graphs. Zbl 1388.60170Ben Arous, Gérard; Fribergh, Alexander 19 2016 The landscape of the spiked tensor model. Zbl 1434.62078Ben Arous, Gérard; Mei, Song; Montanari, Andrea; Nica, Mihai 19 2019 Universality and extremal aging for dynamics of spin glasses on subexponential time scales. Zbl 1237.82043Ben Arous, Gérard; Gün, Onur 18 2012 Spectral gap estimates in mean field spin glasses. Zbl 1397.82054Ben Arous, Gérard; Jagannath, Aukosh 18 2018 Hölder norms and the support theorem for diffusions. Zbl 0814.60075Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel 16 1994 Randomly biased walks on subcritical trees. Zbl 1254.60094Ben Arous, Gérard; Hammond, Alan 16 2012 Free extreme values. Zbl 1117.46044Ben Arous, Gérard; Voiculescu, Dan Virgil 15 2006 Einstein relation for biased random walk on Galton-Watson trees. Zbl 1296.60266Ben Arous, Gerard; Hu, Yueyun; Olla, Stefano; Zeitouni, Ofer 15 2013 The construction of the \(d+1\)-dimensional Gaussian droplet. Zbl 0858.60096Ben Arous, G.; Deuschel, J.-D. 14 1996 Symmetric Langevin spin glass dynamics. Zbl 0954.60031Ben Arous, G.; Guionnet, A. 14 1997 Lyons-Pemantle-Peres monotonicity problem for high biases. Zbl 1294.05143Ben Arous, Gérard; Fribergh, Alexander; Sidoravicius, Vladas 13 2014 Cugliandolo-Kurchan equations for dynamics of spin-glasses. Zbl 1109.82021Ben Arous, Gérard; Dembo, Amir; Guionnet, Alice 12 2006 Coupling constructions for hypoelliptic diffusions: Two examples. Zbl 0823.60068Ben Arous, Gérard; Cranston, Michael; Kendall, Wilfrid S. 12 1995 Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. Zbl 1099.82003Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro 12 2005 Aging and spin-glass dynamics. Zbl 1009.82017Ben Arous, Gérard 11 2002 Increasing propagation of chaos for mean field models. Zbl 0928.60092Ben Arous, G.; Zeitouni, O. 10 1999 Geometry and temperature chaos in mixed spherical spin glasses at low temperature: the perturbative regime. Zbl 1453.82089Ben Arous, Gérard; Subag, Eliran; Zeitouni, Ofer 10 2020 The Poisson kernel for certain degenerate elliptic operators. Zbl 0556.35036Ben Arous, Gérard; Kusuoka, Shigeo; Stroock, Daniel W. 9 1984 Comparing dynamics: deep neural networks versus glassy systems. Zbl 1459.82317Baity-Jesi, Marco; Sagun, Levent; Geiger, Mario; Spigler, Stefano; Ben Arous, Gérard; Cammarota, Chiara; LeCun, Yann; Wyart, Matthieu; Biroli, Giulio 9 2019 Randomly trapped random walks. Zbl 1329.60354Ben Arous, Gérard; Cabezas, Manuel; Černý, Jiří; Royfman, Roman 8 2015 Flow decomposition and large deviations. Zbl 0861.60035Ben Arous, Gérard; Castell, Fabienne 8 1996 Asymptotic survival probabilities in the random saturation process. Zbl 1108.60315Ben Arous, Gerard; Ramírez, Alejandro F. 8 2000 On fluctuations of eigenvalues of random permutation matrices. Zbl 1323.60013Ben Arous, Gérard; Dang, Kim 8 2015 Algorithmic thresholds for tensor PCA. Zbl 1444.62080Arous, Gérard Ben; Gheissari, Reza; Jagannath, Aukosh 7 2020 Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019Ben Arous, G.; Ledoux, M. 6 1994 Wigner matrices. Zbl 1236.15063Ben Arous, G.; Guionnet, A. 6 2011 Schilder’s large deviation principle without topology. Zbl 0801.60019Ben Arous, G.; Ledoux, M. 6 1993 Multiscale homogenization with bounded ratios and anomalous slow diffusion. Zbl 1205.76223Ben Arous, Gérard; Owhadi, Houman 6 2003 Scaling limit for the ant in high-dimensional labyrinths. Zbl 1415.60111Arous, Gérard Ben; Cabezas, Manuel; Fribergh, Alexander 6 2019 Elementary potential theory on the hypercube. Zbl 1187.82105Gayrard, Véronique; Ben Arous, Gérard 5 2008 Langevin dynamics for Sherrington-Kirkpatrick spin glasses. Zbl 0899.60089Ben Arous, Gerard; Guionnet, Alice 5 1998 Internal DLA in a random environment. Zbl 1023.60089Ben Arous, Gérard; Quastel, Jeremy; Ramírez, Alejandro F. 5 2003 Large deviations for Brownian motion on the Sierpiński gasket. Zbl 0997.60018Ben Arous, Gerard; Kumagai, Takashi 5 2000 Bounding flows for spherical spin glass dynamics. Zbl 1434.82086Ben Arous, Gérard; Gheissari, Reza; Jagannath, Aukosh 5 2020 Normes hölderiennes et support des diffusions. (Hölder norms and the support theorem for diffusions). Zbl 0768.60067Ben Arous, Gérard; Gradinaru, Mihai 4 1993 A probabilistic approach to semi-classical approximations. Zbl 0851.60064Ben Arous, Gérard; Castell, Fabienne 4 1996 Scaling limit for the ant in a simple high-dimensional labyrinth. Zbl 1427.60212Ben Arous, Gérard; Cabezas, Manuel; Fribergh, Alexander 4 2019 Super-diffusivity in a shear flow model from perpetual homogenization. Zbl 1065.76109Ben Arous, Gérard; Owhadi, Houman 3 2002 Flat vanishing of the heat kernel. (Annulation plate du noyau de la chaleur.) Zbl 0718.60055Ben Arous, Gérard; Léandre, R. 3 1991 Laplace asymptotics for reaction-diffusion equations. Zbl 0794.60063Ben Arous, Gérard; Rouault, Alain 3 1993 Precise asymptotics in large deviations. Zbl 0791.60017Ben Arous, Gérard; Deuschel, Jean-Dominique; Stroock, D. W. 3 1993 A new REM conjecture. Zbl 1214.82050Ben Arous, Gérard; Gayrard, Véronique; Kuptsov, Alexey 3 2008 Transition asymptotics for reaction-diffusion in random media. Zbl 1132.82006Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro F. 2 2007 A two armed bandit type problem. Zbl 1101.91306Benaïm, Michel; Ben Arous, Gerard 2 2003 Singularities of hypoelliptic Green functions. Zbl 0909.60058Ben Arous, Gerard; Gradinaru, Mihai 2 1998 Free point processes and free extreme values. Zbl 1195.46070Ben Arous, G.; Kargin, V. 2 2010 REM universality for random Hamiltonians. Zbl 1201.82052Ben Arous, Gérard; Kuptsov, Alexey 2 2009 Second order expansion for implied volatility in two factor local stochastic volatility models and applications to the dynamic \(\lambda\)-SABR model. Zbl 1418.91498Arous, Gérard Ben; Laurence, Peter 2 2015 Stochastic approximations to curve-shortening flows via particle systems. Zbl 1032.60092Ben Arous, Gérard; Tannenbaum, Allen; Zeitouni, Ofer 1 2003 The rate function of hypoelliptic diffusions. Zbl 0811.58065Ben Arous, Gérard; Deuschel, Jean-Dominique 1 1994 Geometry of planar Brownian path. (Géométrie de la courbe brownienne plane.) Zbl 0758.60082Ben Arous, Gérard 1 1991 Quenched asymptotics for survival probabilities in the random saturation process. Zbl 0953.60068Ben Arous, Gérard; Ramírez, Alejandro F. 1 1999 Noyau de la chaleur hypoelliptique et géométrie sous-riemannienne. (Hypoelliptic heat kernel and subriemannian geometry). Zbl 0653.58042Ben Arous, Gérard 1 1988 Large deviations in the Langevin dynamics of a short-range spin glass. Zbl 1187.60017Ben Arous, Gérard; Sortais, Michel 1 2003 Phase transition for the spherical hierarchical model. Zbl 1029.60076Ben Arous, G.; Hryniv, O.; Molchanov, S. 1 2002 Geometry and temperature chaos in mixed spherical spin glasses at low temperature: the perturbative regime. Zbl 1453.82089Ben Arous, Gérard; Subag, Eliran; Zeitouni, Ofer 10 2020 Algorithmic thresholds for tensor PCA. Zbl 1444.62080Arous, Gérard Ben; Gheissari, Reza; Jagannath, Aukosh 7 2020 Bounding flows for spherical spin glass dynamics. Zbl 1434.82086Ben Arous, Gérard; Gheissari, Reza; Jagannath, Aukosh 5 2020 The landscape of the spiked tensor model. Zbl 1434.62078Ben Arous, Gérard; Mei, Song; Montanari, Andrea; Nica, Mihai 19 2019 Comparing dynamics: deep neural networks versus glassy systems. Zbl 1459.82317Baity-Jesi, Marco; Sagun, Levent; Geiger, Mario; Spigler, Stefano; Ben Arous, Gérard; Cammarota, Chiara; LeCun, Yann; Wyart, Matthieu; Biroli, Giulio 9 2019 Scaling limit for the ant in high-dimensional labyrinths. Zbl 1415.60111Arous, Gérard Ben; Cabezas, Manuel; Fribergh, Alexander 6 2019 Scaling limit for the ant in a simple high-dimensional labyrinth. Zbl 1427.60212Ben Arous, Gérard; Cabezas, Manuel; Fribergh, Alexander 4 2019 Spectral gap estimates in mean field spin glasses. Zbl 1397.82054Ben Arous, Gérard; Jagannath, Aukosh 18 2018 Biased random walks on random graphs. Zbl 1388.60170Ben Arous, Gérard; Fribergh, Alexander 19 2016 Randomly trapped random walks. Zbl 1329.60354Ben Arous, Gérard; Cabezas, Manuel; Černý, Jiří; Royfman, Roman 8 2015 On fluctuations of eigenvalues of random permutation matrices. Zbl 1323.60013Ben Arous, Gérard; Dang, Kim 8 2015 Second order expansion for implied volatility in two factor local stochastic volatility models and applications to the dynamic \(\lambda\)-SABR model. Zbl 1418.91498Arous, Gérard Ben; Laurence, Peter 2 2015 Lyons-Pemantle-Peres monotonicity problem for high biases. Zbl 1294.05143Ben Arous, Gérard; Fribergh, Alexander; Sidoravicius, Vladas 13 2014 Random matrices and complexity of spin glasses. Zbl 1269.82066Auffinger, Antonio; Ben Arous, Gérard; Černý, Jiří 66 2013 Complexity of random smooth functions on the high-dimensional sphere. Zbl 1288.15045Auffinger, Antonio; Ben Arous, Gerard 46 2013 A central limit theorem in many-body quantum dynamics. Zbl 1280.81157Arous, Gérard Ben; Kirkpatrick, Kay; Schlein, Benjamin 27 2013 Extreme gaps between eigenvalues of random matrices. Zbl 1282.60008Ben Arous, Gérard; Bourgade, Paul 22 2013 Einstein relation for biased random walk on Galton-Watson trees. Zbl 1296.60266Ben Arous, Gerard; Hu, Yueyun; Olla, Stefano; Zeitouni, Ofer 15 2013 Biased random walks on Galton-Watson trees with leaves. Zbl 1239.60091Ben Arous, Gérard; Fribergh, Alexander; Gantert, Nina; Hammond, Alan 29 2012 Universality and extremal aging for dynamics of spin glasses on subexponential time scales. Zbl 1237.82043Ben Arous, Gérard; Gün, Onur 18 2012 Randomly biased walks on subcritical trees. Zbl 1254.60094Ben Arous, Gérard; Hammond, Alan 16 2012 Current fluctuations for TASEP: A proof of the Prähofer-Spohn conjecture. Zbl 1208.82036Ben Arous, Gérard; Corwin, Ivan 30 2011 Wigner matrices. Zbl 1236.15063Ben Arous, G.; Guionnet, A. 6 2011 Free point processes and free extreme values. Zbl 1195.46070Ben Arous, G.; Kargin, V. 2 2010 Poisson convergence for the largest eigenvalues of heavy tailed random matrices. Zbl 1177.15037Auffinger, Antonio; Ben Arous, Gérard; Péché, Sandrine 40 2009 REM universality for random Hamiltonians. Zbl 1201.82052Ben Arous, Gérard; Kuptsov, Alexey 2 2009 The spectrum of heavy tailed random matrices. Zbl 1157.60005Ben Arous, Gérard; Guionnet, Alice 37 2008 The arcsine law as a universal aging scheme for trap models. Zbl 1141.60075Ben Arous, Gérard; Černý, Jiří 33 2008 Universality of the REM for dynamics of mean-field spin glasses. Zbl 1208.82024Ben Arous, Gérard; Bovier, Anton; Černý, Jiří 22 2008 Elementary potential theory on the hypercube. Zbl 1187.82105Gayrard, Véronique; Ben Arous, Gérard 5 2008 A new REM conjecture. Zbl 1214.82050Ben Arous, Gérard; Gayrard, Véronique; Kuptsov, Alexey 3 2008 Scaling limit for trap models on \(\mathbb Z^d\). Zbl 1134.60064Ben Arous, Gérard; Černý, Jiří 42 2007 Transition asymptotics for reaction-diffusion in random media. Zbl 1132.82006Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro F. 2 2007 Dynamics of trap models. Zbl 1458.82019Ben Arous, Gérard; Černý, Jiří 29 2006 Aging in two-dimensional Bouchaud’s model. Zbl 1089.82017Ben Arous, Gérard; Černý, Jiří; Mountford, Thomas 25 2006 Free extreme values. Zbl 1117.46044Ben Arous, Gérard; Voiculescu, Dan Virgil 15 2006 Cugliandolo-Kurchan equations for dynamics of spin-glasses. Zbl 1109.82021Ben Arous, Gérard; Dembo, Amir; Guionnet, Alice 12 2006 Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Zbl 1086.15022Baik, Jinho; Ben Arous, Gérard; Péché, Sandrine 248 2005 Universality of local eigenvalue statistics for some sample covariance matrices. Zbl 1075.62014Ben Arous, G.; Péché, S. 35 2005 Limit theorems for sums of random exponentials. Zbl 1073.60017Ben Arous, Gérard; Bogachev, Leonid V.; Molchanov, Stanislav A. 25 2005 Bouchaud’s model exhibits two different aging regimes in dimension one. Zbl 1069.60092Ben Arous, Gérard; Černý, Jiří 21 2005 Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. Zbl 1099.82003Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro 12 2005 Glauber dynamics of the random energy model. II: Aging below the critical temperature. Zbl 1037.82039Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique 38 2003 Glauber dynamics of the random energy model. I: Metastable motion on the extreme states. Zbl 1037.82038Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique 30 2003 Multiscale homogenization with bounded ratios and anomalous slow diffusion. Zbl 1205.76223Ben Arous, Gérard; Owhadi, Houman 6 2003 Internal DLA in a random environment. Zbl 1023.60089Ben Arous, Gérard; Quastel, Jeremy; Ramírez, Alejandro F. 5 2003 A two armed bandit type problem. Zbl 1101.91306Benaïm, Michel; Ben Arous, Gerard 2 2003 Stochastic approximations to curve-shortening flows via particle systems. Zbl 1032.60092Ben Arous, Gérard; Tannenbaum, Allen; Zeitouni, Ofer 1 2003 Large deviations in the Langevin dynamics of a short-range spin glass. Zbl 1187.60017Ben Arous, Gérard; Sortais, Michel 1 2003 Aging and spin-glass dynamics. Zbl 1009.82017Ben Arous, Gérard 11 2002 Super-diffusivity in a shear flow model from perpetual homogenization. Zbl 1065.76109Ben Arous, Gérard; Owhadi, Houman 3 2002 Phase transition for the spherical hierarchical model. Zbl 1029.60076Ben Arous, G.; Hryniv, O.; Molchanov, S. 1 2002 Aging of spherical spin glasses. Zbl 0993.60055Ben Arous, G.; Dembo, A.; Guionnet, A. 70 2001 Asymptotic survival probabilities in the random saturation process. Zbl 1108.60315Ben Arous, Gerard; Ramírez, Alejandro F. 8 2000 Large deviations for Brownian motion on the Sierpiński gasket. Zbl 0997.60018Ben Arous, Gerard; Kumagai, Takashi 5 2000 Increasing propagation of chaos for mean field models. Zbl 0928.60092Ben Arous, G.; Zeitouni, O. 10 1999 Quenched asymptotics for survival probabilities in the random saturation process. Zbl 0953.60068Ben Arous, Gérard; Ramírez, Alejandro F. 1 1999 Large deviations from the circular law. Zbl 0916.60022Ben Arous, Gérard; Zeituni, Ofer 40 1998 Langevin dynamics for Sherrington-Kirkpatrick spin glasses. Zbl 0899.60089Ben Arous, Gerard; Guionnet, Alice 5 1998 Singularities of hypoelliptic Green functions. Zbl 0909.60058Ben Arous, Gerard; Gradinaru, Mihai 2 1998 Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy. Zbl 0954.60029Ben Arous, G.; Guionnet, A. 118 1997 Symmetric Langevin spin glass dynamics. Zbl 0954.60031Ben Arous, G.; Guionnet, A. 14 1997 Metastability of the three dimensional Ising model on a torus at very low temperatures. Zbl 0888.60057Ben Arous, Gérard; Cerf, Raphaël 20 1996 The construction of the \(d+1\)-dimensional Gaussian droplet. Zbl 0858.60096Ben Arous, G.; Deuschel, J.-D. 14 1996 Flow decomposition and large deviations. Zbl 0861.60035Ben Arous, Gérard; Castell, Fabienne 8 1996 A probabilistic approach to semi-classical approximations. Zbl 0851.60064Ben Arous, Gérard; Castell, Fabienne 4 1996 Large deviations for Langevin spin glass dynamics. Zbl 0830.60017Ben Arous, G.; Guionnet, A. 28 1995 Coupling constructions for hypoelliptic diffusions: Two examples. Zbl 0823.60068Ben Arous, Gérard; Cranston, Michael; Kendall, Wilfrid S. 12 1995 Hölder norms and the support theorem for diffusions. Zbl 0814.60075Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel 16 1994 Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019Ben Arous, G.; Ledoux, M. 6 1994 The rate function of hypoelliptic diffusions. Zbl 0811.58065Ben Arous, Gérard; Deuschel, Jean-Dominique 1 1994 Schilder’s large deviation principle without topology. Zbl 0801.60019Ben Arous, G.; Ledoux, M. 6 1993 Normes hölderiennes et support des diffusions. (Hölder norms and the support theorem for diffusions). Zbl 0768.60067Ben Arous, Gérard; Gradinaru, Mihai 4 1993 Laplace asymptotics for reaction-diffusion equations. Zbl 0794.60063Ben Arous, Gérard; Rouault, Alain 3 1993 Precise asymptotics in large deviations. Zbl 0791.60017Ben Arous, Gérard; Deuschel, Jean-Dominique; Stroock, D. W. 3 1993 Large deviations and the Strassen theorem in Hölder norm. Zbl 0757.60014Baldi, P.; Ben Arous, G.; Kerkyacharian, G. 36 1992 Exponential decay of the heat kernel over the diagonal. II. (Décroissance exponentielle du noyau de la chaleur sur la diagonale. II.) Zbl 0734.60027Ben Arous, G.; Léandre, R. 74 1991 Décroissance exponentielle du noyau de la chaleur sur la diagonale. I. (Exponential decay of the heat kernel over the diagonal. I). Zbl 0734.60026Ben Arous, G.; Léandre, R. 22 1991 Flat vanishing of the heat kernel. (Annulation plate du noyau de la chaleur.) Zbl 0718.60055Ben Arous, Gérard; Léandre, R. 3 1991 Geometry of planar Brownian path. (Géométrie de la courbe brownienne plane.) Zbl 0758.60082Ben Arous, Gérard 1 1991 Laplace method: variational study of fluctuations of diffusions of “mean-field” type). (Méthode de Laplace: Étude variationnelle des fluctuations de diffusions de type “champ moyen”.) Zbl 0705.60046Ben Arous, Gérard; Brunaud, Marc 24 1990 Stochastic flows and Taylor series. (Flots et séries de Taylor stochastiques.) Zbl 0639.60062Ben Arous, Gérard 44 1989 Asymptotic expansion of the hypoelliptic heat kernel on the diagonal. (Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale.) Zbl 0659.35024Ben Arous, Gérard 34 1989 Asymptotic expansion of the hypoelliptic heat kernel outside of the cut-locus. (Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus.) Zbl 0699.35047Ben Arous, G. 51 1988 The Laplace and the stationary phase methods on Wiener space. (Méthode de Laplace et de la phase stationnaire sur l’espace de Wiener.) Zbl 0666.60026Ben Arous, Gérard 41 1988 Noyau de la chaleur hypoelliptique et géométrie sous-riemannienne. (Hypoelliptic heat kernel and subriemannian geometry). Zbl 0653.58042Ben Arous, Gérard 1 1988 The Poisson kernel for certain degenerate elliptic operators. Zbl 0556.35036Ben Arous, Gérard; Kusuoka, Shigeo; Stroock, Daniel W. 9 1984 all cited Publications top 5 cited Publications all top 5 Cited by 1,354 Authors 39 Ben Arous, Gérard 34 Guionnet, Alice 19 Ferrari, Patrik Lino 18 Péché, Sandrine 16 Jiang, Daqing 15 Černý, Jiří 15 Schlein, Benjamin 15 Yau, Horng-Tzer 14 Benaych-Georges, Florent 14 Corwin, Ivan Z. 14 Erdős, László 13 Léandre, Rémi 12 Chafaï, Djalil 12 Jagannath, Aukosh 12 Zeitouni, Ofer 11 Baik, Jinho 11 Baudoin, Fabrice 11 Friz, Peter Karl 11 Heiny, Johannes 10 Auffinger, Antonio 10 Chen, Wei-Kuo 10 Fribergh, Alexander 10 Inahama, Yuzuru 9 Al-saedi, Ahmed Eid Salem 9 Bourgade, Paul 9 Bovier, Anton 9 Deuschel, Jean-Dominique 9 Molchanov, Stanislav Alekseevich 9 Serfaty, Sylvia 9 Yin, Jun 8 Bordenave, Charles 8 Borodin, Alexei 8 Dembo, Amir 8 Fontes, Luiz Renato G. 8 Forrester, Peter J. 8 Fyodorov, Yan V. 8 Hayat, Tasawar 7 Albeverio, Sergio A. 7 Aoshima, Makoto 7 Bai, Zhi-Dong 7 Bowditch, Adam M. 7 Capitaine, Mireille 7 Croydon, David A. 7 den Hollander, Frank 7 Gao, Fuqing 7 Gayrard, Véronique 7 Gheissari, Reza 7 Hammond, Alan 7 Liu, Qun 7 Mikosch, Thomas 7 Miller, Jason P. 7 Nardi, Francesca Romana 7 Sanz-Solé, Marta 7 Vũ Hà Văn 7 Yata, Kazuyoshi 6 Bao, Zhigang 6 Biroli, Giulio 6 Ding, Xiucai 6 Fan, Jianqing 6 Gantert, Nina 6 Hazra, Rajat Subhra 6 Kendall, Wilfrid S. 6 Knowles, Antti 6 Lee, Ji Oon 6 Lin, Yuguo 6 Maïda, Mylène 6 Rouault, Alain 6 Subag, Eliran 6 Tao, Terence 5 Barilari, Davide 5 Berman, Robert J. 5 El Karoui, Noureddine 5 Féral, Delphine 5 Ganguly, Shirshendu 5 Hairer, Martin 5 Jacquier, Antoine 5 Kabluchko, Zakhar A. 5 Liu, Dangzheng 5 Lopatto, Patrick 5 Mourrat, Jean-Christophe 5 Najim, Jamal 5 Najnudel, Joseph 5 Panchenko, Dmitry 5 Rademacher, Simone 5 Sheffield, Scott 5 Sidoravicius, Vladas 5 Silverstein, Jack W. 5 Soshnikov, Alexander B. 4 Aggarwal, Amol 4 Bally, Vlad 4 Barlow, Martin T. 4 Bloom, Thomas 4 Bose, Arup 4 Bouchaud, Jean-Philippe 4 Claeys, Tom 4 Couillet, Romain 4 Dimitrov, Evgeni I. 4 Dobriban, Edgar 4 Fan, Zhou 4 Gulisashvili, Archil ...and 1,254 more Authors all top 5 Cited in 219 Serials 91 Probability Theory and Related Fields 82 Journal of Statistical Physics 81 The Annals of Probability 64 Stochastic Processes and their Applications 53 Communications in Mathematical Physics 51 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 38 The Annals of Statistics 38 Electronic Journal of Probability 36 Journal of Functional Analysis 34 Journal of Mathematical Physics 32 The Annals of Applied Probability 29 Journal of Theoretical Probability 22 Communications on Pure and Applied Mathematics 22 Random Matrices: Theory and Applications 18 Bernoulli 17 Journal of Multivariate Analysis 15 Journal of Statistical Mechanics: Theory and Experiment 14 Advances in Mathematics 12 Potential Analysis 11 Physica A 10 Duke Mathematical Journal 10 Statistics & Probability Letters 10 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 9 Transactions of the American Mathematical Society 8 Electronic Communications in Probability 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 ALEA. Latin American Journal of Probability and Mathematical Statistics 7 Journal of Mathematical Analysis and Applications 7 Acta Mathematica Sinica. 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Série VI 4 Quantitative Finance 4 Journal of Machine Learning Research (JMLR) 4 SIAM Journal on Financial Mathematics 4 Probability and Mathematical Physics 3 Journal of Mathematical Biology 3 Letters in Mathematical Physics 3 Physics Reports 3 Journal of Geometry and Physics 3 Mathematics and Computers in Simulation 3 Mathematische Zeitschrift 3 Statistical Science 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Annales Mathématiques Blaise Pascal 3 Bulletin des Sciences Mathématiques 3 Journal of Dynamical and Control Systems 3 Advances in Difference Equations 3 Annales Henri Lebesgue 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Journal of the American Statistical Association 2 Journal of Approximation Theory 2 Journal of Statistical Planning and Inference 2 Mathematische Nachrichten 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Quarterly of Applied Mathematics 2 Siberian Mathematical Journal 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Queueing Systems 2 Sugaku Expositions 2 Random Structures & Algorithms 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mathematical Programming. Series A. Series B 2 Journal of Dynamics and Differential Equations 2 Applied and Computational Harmonic Analysis 2 Complexity 2 Mathematical Physics, Analysis and Geometry 2 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Extremes 2 Communications in Contemporary Mathematics 2 Methodology and Computing in Applied Probability 2 Brazilian Journal of Probability and Statistics 2 Stochastics and Dynamics 2 Computational Methods and Function Theory ...and 119 more Serials all top 5 Cited in 53 Fields 923 Probability theory and stochastic processes (60-XX) 366 Statistical mechanics, structure of matter (82-XX) 263 Linear and multilinear algebra; matrix theory (15-XX) 152 Statistics (62-XX) 137 Partial differential equations (35-XX) 61 Quantum theory (81-XX) 56 Global analysis, analysis on manifolds (58-XX) 54 Functional analysis (46-XX) 53 Combinatorics (05-XX) 44 Numerical analysis (65-XX) 38 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Biology and other natural sciences (92-XX) 37 Operator theory (47-XX) 29 Ordinary differential equations (34-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Differential geometry (53-XX) 23 Computer science (68-XX) 22 Systems theory; control (93-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Information and communication theory, circuits (94-XX) 17 Measure and integration (28-XX) 16 Special functions (33-XX) 13 Potential theory (31-XX) 12 Fluid mechanics (76-XX) 12 Operations research, mathematical programming (90-XX) 10 Approximations and expansions (41-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Topological groups, Lie groups (22-XX) 8 Mechanics of particles and systems (70-XX) 7 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Convex and discrete geometry (52-XX) 4 Algebraic geometry (14-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Integral equations (45-XX) 3 Real functions (26-XX) 3 Relativity and gravitational theory (83-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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