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Ben Arous, Gérard

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Author ID: ben-arous.gerard Recent zbMATH articles by "Ben Arous, Gérard"
Published as: Ben Arous, Gérard; Ben Arous, G.; Ben Arous, Gerard; Arous, Gérard Ben; Arous, Gerard Ben
Homepage: http://www.cims.nyu.edu/~benarous/
External Links: MGP · Wikidata · dblp · GND
Member of Collective: Bourbaki, Nicolas
Documents Indexed: 101 Publications since 1981, including 2 Books

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 1,533 times in 1,014 Documents Cited by Year
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Zbl 1086.15022
Baik, Jinho; Ben Arous, Gérard; Péché, Sandrine
203
2005
Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy. Zbl 0954.60029
Ben Arous, G.; Guionnet, A.
98
1997
Exponential decay of the heat kernel over the diagonal. II. (Décroissance exponentielle du noyau de la chaleur sur la diagonale. II.) Zbl 0734.60027
Ben Arous, G.; Léandre, R.
55
1991
Aging of spherical spin glasses. Zbl 0993.60055
Ben Arous, G.; Dembo, A.; Guionnet, A.
52
2001
Random matrices and complexity of spin glasses. Zbl 1269.82066
Auffinger, Antonio; Ben Arous, Gérard; Černý, Jiří
45
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 0699.35047
Ben Arous, G.
43
1988
Stochastic flows and Taylor series. (Flots et séries de Taylor stochastiques.) Zbl 0639.60062
Ben Arous, Gérard
41
1989
Scaling limit for trap models on \(\mathbb Z^d\). Zbl 1134.60064
Ben Arous, Gérard; Černý, Jiří
39
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 0666.60026
Ben Arous, Gérard
37
1988
Large deviations from the circular law. Zbl 0916.60022
Ben Arous, Gérard; Zeituni, Ofer
37
1998
Large deviations and the Strassen theorem in Hölder norm. Zbl 0757.60014
Baldi, P.; Ben Arous, G.; Kerkyacharian, G.
35
1992
Universality of local eigenvalue statistics for some sample covariance matrices. Zbl 1075.62014
Ben Arous, G.; Péché, S.
34
2005
Complexity of random smooth functions on the high-dimensional sphere. Zbl 1288.15045
Auffinger, Antonio; Ben Arous, Gerard
34
2013
Poisson convergence for the largest eigenvalues of heavy tailed random matrices. Zbl 1177.15037
Auffinger, Antonio; Ben Arous, Gérard; Péché, Sandrine
32
2009
The arcsine law as a universal aging scheme for trap models. Zbl 1141.60075
Ben Arous, Gérard; Černý, Jiří
31
2008
The spectrum of heavy tailed random matrices. Zbl 1157.60005
Ben Arous, Gérard; Guionnet, Alice
30
2008
Glauber dynamics of the random energy model. I: Metastable motion on the extreme states. Zbl 1037.82038
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique
29
2003
Dynamics of trap models. Zbl 1458.82019
Ben Arous, Gérard; Černý, Jiří
28
2006
Glauber dynamics of the random energy model. II: Aging below the critical temperature. Zbl 1037.82039
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique
28
2003
Asymptotic expansion of the hypoelliptic heat kernel on the diagonal. (Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale.) Zbl 0659.35024
Ben Arous, Gérard
27
1989
Current fluctuations for TASEP: A proof of the Prähofer-Spohn conjecture. Zbl 1208.82036
Ben Arous, Gérard; Corwin, Ivan
26
2011
Biased random walks on Galton-Watson trees with leaves. Zbl 1239.60091
Ben Arous, Gérard; Fribergh, Alexander; Gantert, Nina; Hammond, Alan
26
2012
Aging in two-dimensional Bouchaud’s model. Zbl 1089.82017
Ben Arous, Gérard; Černý, Jiří; Mountford, Thomas
23
2006
Limit theorems for sums of random exponentials. Zbl 1073.60017
Ben Arous, Gérard; Bogachev, Leonid V.; Molchanov, Stanislav A.
23
2005
Large deviations for Langevin spin glass dynamics. Zbl 0830.60017
Ben Arous, G.; Guionnet, A.
22
1995
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 0705.60046
Ben Arous, Gérard; Brunaud, Marc
21
1990
A central limit theorem in many-body quantum dynamics. Zbl 1280.81157
Arous, Gérard Ben; Kirkpatrick, Kay; Schlein, Benjamin
21
2013
Bouchaud’s model exhibits two different aging regimes in dimension one. Zbl 1069.60092
Ben Arous, Gérard; Černý, Jiří
20
2005
Universality of the REM for dynamics of mean-field spin glasses. Zbl 1208.82024
Ben Arous, Gérard; Bovier, Anton; Černý, Jiří
20
2008
Décroissance exponentielle du noyau de la chaleur sur la diagonale. I. (Exponential decay of the heat kernel over the diagonal. I). Zbl 0734.60026
Ben Arous, G.; Léandre, R.
18
1991
Extreme gaps between eigenvalues of random matrices. Zbl 1282.60008
Ben Arous, Gérard; Bourgade, Paul
17
2013
Universality and extremal aging for dynamics of spin glasses on subexponential time scales. Zbl 1237.82043
Ben Arous, Gérard; Gün, Onur
16
2012
Hölder norms and the support theorem for diffusions. Zbl 0814.60075
Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel
16
1994
Einstein relation for biased random walk on Galton-Watson trees. Zbl 1296.60266
Ben Arous, Gerard; Hu, Yueyun; Olla, Stefano; Zeitouni, Ofer
15
2013
Metastability of the three dimensional Ising model on a torus at very low temperatures. Zbl 0888.60057
Ben Arous, Gérard; Cerf, Raphaël
15
1996
Spectral gap estimates in mean field spin glasses. Zbl 1397.82054
Ben Arous, Gérard; Jagannath, Aukosh
15
2018
The construction of the \(d+1\)-dimensional Gaussian droplet. Zbl 0858.60096
Ben Arous, G.; Deuschel, J.-D.
14
1996
Biased random walks on random graphs. Zbl 1388.60170
Ben Arous, Gérard; Fribergh, Alexander
14
2016
Symmetric Langevin spin glass dynamics. Zbl 0954.60031
Ben Arous, G.; Guionnet, A.
12
1997
Aging and spin-glass dynamics. Zbl 1009.82017
Ben Arous, Gérard
12
2002
Free extreme values. Zbl 1117.46044
Ben Arous, Gérard; Voiculescu, Dan Virgil
12
2006
Randomly biased walks on subcritical trees. Zbl 1254.60094
Ben Arous, Gérard; Hammond, Alan
11
2012
Coupling constructions for hypoelliptic diffusions: Two examples. Zbl 0823.60068
Ben Arous, Gérard; Cranston, Michael; Kendall, Wilfrid S.
11
1995
Lyons-Pemantle-Peres monotonicity problem for high biases. Zbl 1294.05143
Ben Arous, Gérard; Fribergh, Alexander; Sidoravicius, Vladas
11
2014
Cugliandolo-Kurchan equations for dynamics of spin-glasses. Zbl 1109.82021
Ben Arous, Gérard; Dembo, Amir; Guionnet, Alice
11
2006
Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. Zbl 1099.82003
Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro
9
2005
The Poisson kernel for certain degenerate elliptic operators. Zbl 0556.35036
Ben Arous, Gérard; Kusuoka, Shigeo; Stroock, Daniel W.
8
1984
Flow decomposition and large deviations. Zbl 0861.60035
Ben Arous, Gérard; Castell, Fabienne
7
1996
Increasing propagation of chaos for mean field models. Zbl 0928.60092
Ben Arous, G.; Zeitouni, O.
7
1999
Asymptotic survival probabilities in the random saturation process. Zbl 1108.60315
Ben Arous, Gerard; Ramírez, Alejandro F.
7
2000
Wigner matrices. Zbl 1236.15063
Ben Arous, G.; Guionnet, A.
6
2011
Schilder’s large deviation principle without topology. Zbl 0801.60019
Ben Arous, G.; Ledoux, M.
6
1993
Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019
Ben Arous, G.; Ledoux, M.
6
1994
Randomly trapped random walks. Zbl 1329.60354
Ben Arous, Gérard; Cabezas, Manuel; Černý, Jiří; Royfman, Roman
6
2015
On fluctuations of eigenvalues of random permutation matrices. Zbl 1323.60013
Ben Arous, Gérard; Dang, Kim
6
2015
The landscape of the spiked tensor model. Zbl 1434.62078
Ben Arous, Gérard; Mei, Song; Montanari, Andrea; Nica, Mihai
6
2019
Internal DLA in a random environment. Zbl 1023.60089
Ben Arous, Gérard; Quastel, Jeremy; Ramírez, Alejandro F.
5
2003
Bounding flows for spherical spin glass dynamics. Zbl 1434.82086
Ben Arous, Gérard; Gheissari, Reza; Jagannath, Aukosh
5
2020
A probabilistic approach to semi-classical approximations. Zbl 0851.60064
Ben Arous, Gérard; Castell, Fabienne
4
1996
Algorithmic thresholds for tensor PCA. Zbl 1444.62080
Arous, Gérard Ben; Gheissari, Reza; Jagannath, Aukosh
4
2020
Langevin dynamics for Sherrington-Kirkpatrick spin glasses. Zbl 0899.60089
Ben Arous, Gerard; Guionnet, Alice
4
1998
Large deviations for Brownian motion on the Sierpiński gasket. Zbl 0997.60018
Ben Arous, Gerard; Kumagai, Takashi
4
2000
Elementary potential theory on the hypercube. Zbl 1187.82105
Gayrard, Véronique; Ben Arous, Gérard
4
2008
Flat vanishing of the heat kernel. (Annulation plate du noyau de la chaleur.) Zbl 0718.60055
Ben Arous, Gérard; Léandre, R.
3
1991
Precise asymptotics in large deviations. Zbl 0791.60017
Ben Arous, Gérard; Deuschel, Jean-Dominique; Stroock, D. W.
3
1993
Laplace asymptotics for reaction-diffusion equations. Zbl 0794.60063
Ben Arous, Gérard; Rouault, Alain
3
1993
A new REM conjecture. Zbl 1214.82050
Ben Arous, Gérard; Gayrard, Véronique; Kuptsov, Alexey
3
2008
Geometry and temperature chaos in mixed spherical spin glasses at low temperature: the perturbative regime. Zbl 1453.82089
Ben Arous, Gérard; Subag, Eliran; Zeitouni, Ofer
3
2020
Normes hölderiennes et support des diffusions. (Hölder norms and the support theorem for diffusions). Zbl 0768.60067
Ben Arous, Gérard; Gradinaru, Mihai
3
1993
Super-diffusivity in a shear flow model from perpetual homogenization. Zbl 1065.76109
Ben Arous, Gérard; Owhadi, Houman
3
2002
Multiscale homogenization with bounded ratios and anomalous slow diffusion. Zbl 1205.76223
Ben Arous, Gérard; Owhadi, Houman
3
2003
Scaling limit for the ant in high-dimensional labyrinths. Zbl 1415.60111
Arous, Gérard Ben; Cabezas, Manuel; Fribergh, Alexander
3
2019
REM universality for random Hamiltonians. Zbl 1201.82052
Ben Arous, Gérard; Kuptsov, Alexey
2
2009
Free point processes and free extreme values. Zbl 1195.46070
Ben Arous, G.; Kargin, V.
2
2010
Comparing dynamics: deep neural networks versus glassy systems. Zbl 1459.82317
Baity-Jesi, Marco; Sagun, Levent; Geiger, Mario; Spigler, Stefano; Ben Arous, Gérard; Cammarota, Chiara; LeCun, Yann; Wyart, Matthieu; Biroli, Giulio
2
2019
Scaling limit for the ant in a simple high-dimensional labyrinth. Zbl 1427.60212
Ben Arous, Gérard; Cabezas, Manuel; Fribergh, Alexander
2
2019
A two armed bandit type problem. Zbl 1101.91306
Benaïm, Michel; Ben Arous, Gerard
2
2003
Singularities of hypoelliptic Green functions. Zbl 0909.60058
Ben Arous, Gerard; Gradinaru, Mihai
2
1998
Transition asymptotics for reaction-diffusion in random media. Zbl 1132.82006
Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro F.
2
2007
Second order expansion for implied volatility in two factor local stochastic volatility models and applications to the dynamic \(\lambda\)-SABR model. Zbl 1418.91498
Arous, Gérard Ben; Laurence, Peter
2
2015
Phase transition for the spherical hierarchical model. Zbl 1029.60076
Ben Arous, G.; Hryniv, O.; Molchanov, S.
1
2002
Geometry of planar Brownian path. (Géométrie de la courbe brownienne plane.) Zbl 0758.60082
Ben Arous, Gérard
1
1991
The rate function of hypoelliptic diffusions. Zbl 0811.58065
Ben Arous, Gérard; Deuschel, Jean-Dominique
1
1994
Noyau de la chaleur hypoelliptique et géométrie sous-riemannienne. (Hypoelliptic heat kernel and subriemannian geometry). Zbl 0653.58042
Ben Arous, Gérard
1
1988
Large deviations in the Langevin dynamics of a short-range spin glass. Zbl 1187.60017
Ben Arous, Gérard; Sortais, Michel
1
2003
Quenched asymptotics for survival probabilities in the random saturation process. Zbl 0953.60068
Ben Arous, Gérard; Ramírez, Alejandro F.
1
1999
Bounding flows for spherical spin glass dynamics. Zbl 1434.82086
Ben Arous, Gérard; Gheissari, Reza; Jagannath, Aukosh
5
2020
Algorithmic thresholds for tensor PCA. Zbl 1444.62080
Arous, Gérard Ben; Gheissari, Reza; Jagannath, Aukosh
4
2020
Geometry and temperature chaos in mixed spherical spin glasses at low temperature: the perturbative regime. Zbl 1453.82089
Ben Arous, Gérard; Subag, Eliran; Zeitouni, Ofer
3
2020
The landscape of the spiked tensor model. Zbl 1434.62078
Ben Arous, Gérard; Mei, Song; Montanari, Andrea; Nica, Mihai
6
2019
Scaling limit for the ant in high-dimensional labyrinths. Zbl 1415.60111
Arous, Gérard Ben; Cabezas, Manuel; Fribergh, Alexander
3
2019
Comparing dynamics: deep neural networks versus glassy systems. Zbl 1459.82317
Baity-Jesi, Marco; Sagun, Levent; Geiger, Mario; Spigler, Stefano; Ben Arous, Gérard; Cammarota, Chiara; LeCun, Yann; Wyart, Matthieu; Biroli, Giulio
2
2019
Scaling limit for the ant in a simple high-dimensional labyrinth. Zbl 1427.60212
Ben Arous, Gérard; Cabezas, Manuel; Fribergh, Alexander
2
2019
Spectral gap estimates in mean field spin glasses. Zbl 1397.82054
Ben Arous, Gérard; Jagannath, Aukosh
15
2018
Biased random walks on random graphs. Zbl 1388.60170
Ben Arous, Gérard; Fribergh, Alexander
14
2016
Randomly trapped random walks. Zbl 1329.60354
Ben Arous, Gérard; Cabezas, Manuel; Černý, Jiří; Royfman, Roman
6
2015
On fluctuations of eigenvalues of random permutation matrices. Zbl 1323.60013
Ben Arous, Gérard; Dang, Kim
6
2015
Second order expansion for implied volatility in two factor local stochastic volatility models and applications to the dynamic \(\lambda\)-SABR model. Zbl 1418.91498
Arous, Gérard Ben; Laurence, Peter
2
2015
Lyons-Pemantle-Peres monotonicity problem for high biases. Zbl 1294.05143
Ben Arous, Gérard; Fribergh, Alexander; Sidoravicius, Vladas
11
2014
Random matrices and complexity of spin glasses. Zbl 1269.82066
Auffinger, Antonio; Ben Arous, Gérard; Černý, Jiří
45
2013
Complexity of random smooth functions on the high-dimensional sphere. Zbl 1288.15045
Auffinger, Antonio; Ben Arous, Gerard
34
2013
A central limit theorem in many-body quantum dynamics. Zbl 1280.81157
Arous, Gérard Ben; Kirkpatrick, Kay; Schlein, Benjamin
21
2013
Extreme gaps between eigenvalues of random matrices. Zbl 1282.60008
Ben Arous, Gérard; Bourgade, Paul
17
2013
Einstein relation for biased random walk on Galton-Watson trees. Zbl 1296.60266
Ben Arous, Gerard; Hu, Yueyun; Olla, Stefano; Zeitouni, Ofer
15
2013
Biased random walks on Galton-Watson trees with leaves. Zbl 1239.60091
Ben Arous, Gérard; Fribergh, Alexander; Gantert, Nina; Hammond, Alan
26
2012
Universality and extremal aging for dynamics of spin glasses on subexponential time scales. Zbl 1237.82043
Ben Arous, Gérard; Gün, Onur
16
2012
Randomly biased walks on subcritical trees. Zbl 1254.60094
Ben Arous, Gérard; Hammond, Alan
11
2012
Current fluctuations for TASEP: A proof of the Prähofer-Spohn conjecture. Zbl 1208.82036
Ben Arous, Gérard; Corwin, Ivan
26
2011
Wigner matrices. Zbl 1236.15063
Ben Arous, G.; Guionnet, A.
6
2011
Free point processes and free extreme values. Zbl 1195.46070
Ben Arous, G.; Kargin, V.
2
2010
Poisson convergence for the largest eigenvalues of heavy tailed random matrices. Zbl 1177.15037
Auffinger, Antonio; Ben Arous, Gérard; Péché, Sandrine
32
2009
REM universality for random Hamiltonians. Zbl 1201.82052
Ben Arous, Gérard; Kuptsov, Alexey
2
2009
The arcsine law as a universal aging scheme for trap models. Zbl 1141.60075
Ben Arous, Gérard; Černý, Jiří
31
2008
The spectrum of heavy tailed random matrices. Zbl 1157.60005
Ben Arous, Gérard; Guionnet, Alice
30
2008
Universality of the REM for dynamics of mean-field spin glasses. Zbl 1208.82024
Ben Arous, Gérard; Bovier, Anton; Černý, Jiří
20
2008
Elementary potential theory on the hypercube. Zbl 1187.82105
Gayrard, Véronique; Ben Arous, Gérard
4
2008
A new REM conjecture. Zbl 1214.82050
Ben Arous, Gérard; Gayrard, Véronique; Kuptsov, Alexey
3
2008
Scaling limit for trap models on \(\mathbb Z^d\). Zbl 1134.60064
Ben Arous, Gérard; Černý, Jiří
39
2007
Transition asymptotics for reaction-diffusion in random media. Zbl 1132.82006
Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro F.
2
2007
Dynamics of trap models. Zbl 1458.82019
Ben Arous, Gérard; Černý, Jiří
28
2006
Aging in two-dimensional Bouchaud’s model. Zbl 1089.82017
Ben Arous, Gérard; Černý, Jiří; Mountford, Thomas
23
2006
Free extreme values. Zbl 1117.46044
Ben Arous, Gérard; Voiculescu, Dan Virgil
12
2006
Cugliandolo-Kurchan equations for dynamics of spin-glasses. Zbl 1109.82021
Ben Arous, Gérard; Dembo, Amir; Guionnet, Alice
11
2006
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Zbl 1086.15022
Baik, Jinho; Ben Arous, Gérard; Péché, Sandrine
203
2005
Universality of local eigenvalue statistics for some sample covariance matrices. Zbl 1075.62014
Ben Arous, G.; Péché, S.
34
2005
Limit theorems for sums of random exponentials. Zbl 1073.60017
Ben Arous, Gérard; Bogachev, Leonid V.; Molchanov, Stanislav A.
23
2005
Bouchaud’s model exhibits two different aging regimes in dimension one. Zbl 1069.60092
Ben Arous, Gérard; Černý, Jiří
20
2005
Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. Zbl 1099.82003
Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro
9
2005
Glauber dynamics of the random energy model. I: Metastable motion on the extreme states. Zbl 1037.82038
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique
29
2003
Glauber dynamics of the random energy model. II: Aging below the critical temperature. Zbl 1037.82039
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique
28
2003
Internal DLA in a random environment. Zbl 1023.60089
Ben Arous, Gérard; Quastel, Jeremy; Ramírez, Alejandro F.
5
2003
Multiscale homogenization with bounded ratios and anomalous slow diffusion. Zbl 1205.76223
Ben Arous, Gérard; Owhadi, Houman
3
2003
A two armed bandit type problem. Zbl 1101.91306
Benaïm, Michel; Ben Arous, Gerard
2
2003
Large deviations in the Langevin dynamics of a short-range spin glass. Zbl 1187.60017
Ben Arous, Gérard; Sortais, Michel
1
2003
Aging and spin-glass dynamics. Zbl 1009.82017
Ben Arous, Gérard
12
2002
Super-diffusivity in a shear flow model from perpetual homogenization. Zbl 1065.76109
Ben Arous, Gérard; Owhadi, Houman
3
2002
Phase transition for the spherical hierarchical model. Zbl 1029.60076
Ben Arous, G.; Hryniv, O.; Molchanov, S.
1
2002
Aging of spherical spin glasses. Zbl 0993.60055
Ben Arous, G.; Dembo, A.; Guionnet, A.
52
2001
Asymptotic survival probabilities in the random saturation process. Zbl 1108.60315
Ben Arous, Gerard; Ramírez, Alejandro F.
7
2000
Large deviations for Brownian motion on the Sierpiński gasket. Zbl 0997.60018
Ben Arous, Gerard; Kumagai, Takashi
4
2000
Increasing propagation of chaos for mean field models. Zbl 0928.60092
Ben Arous, G.; Zeitouni, O.
7
1999
Quenched asymptotics for survival probabilities in the random saturation process. Zbl 0953.60068
Ben Arous, Gérard; Ramírez, Alejandro F.
1
1999
Large deviations from the circular law. Zbl 0916.60022
Ben Arous, Gérard; Zeituni, Ofer
37
1998
Langevin dynamics for Sherrington-Kirkpatrick spin glasses. Zbl 0899.60089
Ben Arous, Gerard; Guionnet, Alice
4
1998
Singularities of hypoelliptic Green functions. Zbl 0909.60058
Ben Arous, Gerard; Gradinaru, Mihai
2
1998
Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy. Zbl 0954.60029
Ben Arous, G.; Guionnet, A.
98
1997
Symmetric Langevin spin glass dynamics. Zbl 0954.60031
Ben Arous, G.; Guionnet, A.
12
1997
Metastability of the three dimensional Ising model on a torus at very low temperatures. Zbl 0888.60057
Ben Arous, Gérard; Cerf, Raphaël
15
1996
The construction of the \(d+1\)-dimensional Gaussian droplet. Zbl 0858.60096
Ben Arous, G.; Deuschel, J.-D.
14
1996
Flow decomposition and large deviations. Zbl 0861.60035
Ben Arous, Gérard; Castell, Fabienne
7
1996
A probabilistic approach to semi-classical approximations. Zbl 0851.60064
Ben Arous, Gérard; Castell, Fabienne
4
1996
Large deviations for Langevin spin glass dynamics. Zbl 0830.60017
Ben Arous, G.; Guionnet, A.
22
1995
Coupling constructions for hypoelliptic diffusions: Two examples. Zbl 0823.60068
Ben Arous, Gérard; Cranston, Michael; Kendall, Wilfrid S.
11
1995
Hölder norms and the support theorem for diffusions. Zbl 0814.60075
Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel
16
1994
Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019
Ben Arous, G.; Ledoux, M.
6
1994
The rate function of hypoelliptic diffusions. Zbl 0811.58065
Ben Arous, Gérard; Deuschel, Jean-Dominique
1
1994
Schilder’s large deviation principle without topology. Zbl 0801.60019
Ben Arous, G.; Ledoux, M.
6
1993
Precise asymptotics in large deviations. Zbl 0791.60017
Ben Arous, Gérard; Deuschel, Jean-Dominique; Stroock, D. W.
3
1993
Laplace asymptotics for reaction-diffusion equations. Zbl 0794.60063
Ben Arous, Gérard; Rouault, Alain
3
1993
Normes hölderiennes et support des diffusions. (Hölder norms and the support theorem for diffusions). Zbl 0768.60067
Ben Arous, Gérard; Gradinaru, Mihai
3
1993
Large deviations and the Strassen theorem in Hölder norm. Zbl 0757.60014
Baldi, P.; Ben Arous, G.; Kerkyacharian, G.
35
1992
Exponential decay of the heat kernel over the diagonal. II. (Décroissance exponentielle du noyau de la chaleur sur la diagonale. II.) Zbl 0734.60027
Ben Arous, G.; Léandre, R.
55
1991
Décroissance exponentielle du noyau de la chaleur sur la diagonale. I. (Exponential decay of the heat kernel over the diagonal. I). Zbl 0734.60026
Ben Arous, G.; Léandre, R.
18
1991
Flat vanishing of the heat kernel. (Annulation plate du noyau de la chaleur.) Zbl 0718.60055
Ben Arous, Gérard; Léandre, R.
3
1991
Geometry of planar Brownian path. (Géométrie de la courbe brownienne plane.) Zbl 0758.60082
Ben 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 0705.60046
Ben Arous, Gérard; Brunaud, Marc
21
1990
Stochastic flows and Taylor series. (Flots et séries de Taylor stochastiques.) Zbl 0639.60062
Ben Arous, Gérard
41
1989
Asymptotic expansion of the hypoelliptic heat kernel on the diagonal. (Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale.) Zbl 0659.35024
Ben Arous, Gérard
27
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 0699.35047
Ben Arous, G.
43
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 0666.60026
Ben Arous, Gérard
37
1988
Noyau de la chaleur hypoelliptique et géométrie sous-riemannienne. (Hypoelliptic heat kernel and subriemannian geometry). Zbl 0653.58042
Ben Arous, Gérard
1
1988
The Poisson kernel for certain degenerate elliptic operators. Zbl 0556.35036
Ben Arous, Gérard; Kusuoka, Shigeo; Stroock, Daniel W.
8
1984
all top 5

Cited by 1,110 Authors

37 Ben Arous, Gérard
34 Guionnet, Alice
18 Péché, Sandrine
16 Ferrari, Patrik Lino
14 Černý, Jiří
14 Erdős, László
14 Schlein, Benjamin
14 Yau, Horng-Tzer
13 Benaych-Georges, Florent
13 Corwin, Ivan
12 Chafaï, Djalil
12 Léandre, Rémi
11 Baik, Jinho
11 Jagannath, Aukosh
10 Baudoin, Fabrice
10 Fribergh, Alexander
10 Zeitouni, Ofer
9 Bovier, Anton
9 Chen, Wei-Kuo
9 Deuschel, Jean-Dominique
9 Friz, Peter Karl
9 Molchanov, Stanislav Alekseevich
9 Serfaty, Sylvia
9 Yin, Jun
8 Bordenave, Charles
8 Borodin, Alexei
8 Forrester, Peter J.
8 Inahama, Yuzuru
8 Jiang, Daqing
7 Albeverio, Sergio A.
7 Aoshima, Makoto
7 Auffinger, Antonio
7 Bourgade, Paul
7 Capitaine, Mireille
7 Dembo, Amir
7 den Hollander, Frank
7 Fontes, Luiz Renato G.
7 Fyodorov, Yan V.
7 Gayrard, Véronique
7 Gheissari, Reza
7 Maïda, Mylène
7 Miller, Jason P.
7 Sanz-Solé, Marta
7 Yata, Kazuyoshi
6 Croydon, David A.
6 Gao, Fuqing
6 Hazra, Rajat Subhra
6 Heiny, Johannes
6 Knowles, Antti
6 Tao, Terence
6 Vu, Van H.
5 Bai, Zhi-Dong
5 Barilari, Davide
5 Biroli, Giulio
5 Bowditch, Adam
5 El Karoui, Noureddine
5 Féral, Delphine
5 Gantert, Nina
5 Hairer, Martin
5 Hammond, Alan
5 Jacquier, Antoine
5 Kabluchko, Zakhar A.
5 Kendall, Wilfrid S.
5 Lee, Ji Oon
5 Lin, Yuguo
5 Liu, Dangzheng
5 Mikosch, Thomas
5 Mourrat, Jean-Christophe
5 Najim, Jamal
5 Nardi, Francesca Romana
5 Sheffield, Scott
5 Soshnikov, Alexander B.
4 Bally, Vlad
4 Bao, Zhigang
4 Barlow, Martin T.
4 Berman, Robert J.
4 Bloom, Thomas
4 Bouchaud, Jean-Philippe
4 Claeys, Tom
4 Couillet, Romain
4 Ding, Xiucai
4 Dobriban, Edgar
4 Fan, Jianqing
4 Hardy, Adrien
4 Hiai, Fumio
4 Kargin, Vladislav
4 Leblé, Thomas
4 Liu, Jicheng
4 Menozzi, Stéphane
4 Newman, Charles Michael
4 Onatski, Alexei
4 O’Rourke, Sean D.
4 Ouyang, Cheng
4 Pan, Guangming
4 Panchenko, Dmitry
4 Ramírez, Alejandro F.
4 Ren, Jiagang
4 Renfrew, David
4 Rouault, Alain
4 Sidoravicius, Vladas
...and 1,010 more Authors
all top 5

Cited in 193 Serials

90 Probability Theory and Related Fields
78 The Annals of Probability
67 Journal of Statistical Physics
57 Stochastic Processes and their Applications
48 Communications in Mathematical Physics
46 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
33 Journal of Functional Analysis
30 The Annals of Statistics
25 Journal of Mathematical Physics
25 Journal of Theoretical Probability
25 The Annals of Applied Probability
24 Electronic Journal of Probability
22 Communications on Pure and Applied Mathematics
16 Journal of Multivariate Analysis
16 Random Matrices: Theory and Applications
13 Advances in Mathematics
12 Potential Analysis
12 Bernoulli
11 Journal of Statistical Mechanics: Theory and Experiment
10 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
9 Duke Mathematical Journal
9 Statistics & Probability Letters
8 Transactions of the American Mathematical Society
7 Electronic Communications in Probability
7 Acta Mathematica Sinica. English Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Mathematical Analysis and Applications
6 Journal of Mathematical Sciences (New York)
6 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Inventiones Mathematicae
5 Journal of Applied Probability
5 Stochastic Analysis and Applications
5 Infinite Dimensional Analysis, Quantum Probability and Related Topics
5 Annales Henri Poincaré
5 Journal of Physics A: Mathematical and Theoretical
4 Advances in Applied Probability
4 Constructive Approximation
4 Communications in Statistics. Theory and Methods
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Electronic Journal of Statistics
3 Letters in Mathematical Physics
3 Journal of Geometry and Physics
3 Journal of Differential Equations
3 Journal of the Mathematical Society of Japan
3 Mathematics and Computers in Simulation
3 Mathematische Zeitschrift
3 Proceedings of the American Mathematical Society
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 the European Mathematical Society (JEMS)
3 Journal of Dynamical and Control Systems
3 Quantitative Finance
3 Journal of Machine Learning Research (JMLR)
3 Advances in Difference Equations
3 Stochastics
3 SIAM Journal on Financial Mathematics
2 Physics Reports
2 Reviews in Mathematical Physics
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Applied Mathematics and Computation
2 Illinois Journal of Mathematics
2 Indiana University Mathematics Journal
2 Journal of Approximation Theory
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 Statistical Science
2 Sugaku Expositions
2 Random Structures & Algorithms
2 The Journal of Geometric Analysis
2 Geometric and Functional Analysis. GAFA
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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 Brazilian Journal of Probability and Statistics
2 Computational Methods and Function Theory
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Probability Surveys
2 Science China. Mathematics
2 Bollettino dell’Unione Matematica Italiana
2 Mathematical Statistics and Learning
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
...and 93 more Serials
all top 5

Cited in 52 Fields

793 Probability theory and stochastic processes (60-XX)
301 Statistical mechanics, structure of matter (82-XX)
235 Linear and multilinear algebra; matrix theory (15-XX)
123 Statistics (62-XX)
111 Partial differential equations (35-XX)
50 Functional analysis (46-XX)
49 Global analysis, analysis on manifolds (58-XX)
49 Quantum theory (81-XX)
45 Combinatorics (05-XX)
35 Numerical analysis (65-XX)
33 Operator theory (47-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Ordinary differential equations (34-XX)
28 Biology and other natural sciences (92-XX)
22 Dynamical systems and ergodic theory (37-XX)
21 Differential geometry (53-XX)
20 Systems theory; control (93-XX)
17 Measure and integration (28-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
14 Special functions (33-XX)
14 Information and communication theory, circuits (94-XX)
12 Computer science (68-XX)
11 Potential theory (31-XX)
11 Operations research, mathematical programming (90-XX)
10 Approximations and expansions (41-XX)
10 Fluid mechanics (76-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
6 Number theory (11-XX)
6 Topological groups, Lie groups (22-XX)
6 Functions of a complex variable (30-XX)
6 Several complex variables and analytic spaces (32-XX)
5 Mechanics of particles and systems (70-XX)
4 Abstract harmonic analysis (43-XX)
4 Integral equations (45-XX)
4 Convex and discrete geometry (52-XX)
3 Algebraic geometry (14-XX)
3 Real functions (26-XX)
2 Integral transforms, operational calculus (44-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 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

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