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1

Random matrices and complexity of spin glasses

Antonio Auffinger, Gérard Ben Arous, Jiří Černý

Journal:

Communications on Pure and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 505 KB

english, 2012

2

A Probabilistic Approach to Semi-classical Approximations

Gérard Ben Arous, Fabienne Castell

Journal:

Journal of Functional Analysis

Year:

1996

Language:

english

File:

PDF, 1.93 MB

english, 1996

3

Flow Decomposition and Large Deviations

Gérard Ben Arous, Fabienne Castell

Journal:

Journal of Functional Analysis

Year:

1996

Language:

english

File:

PDF, 2.32 MB

english, 1996

4

The Poisson kernel for certain degenerate elliptic operators

Gerard Ben Arous, Shigeo Kusuoka, Daniel W Stroock

Journal:

Journal of Functional Analysis

Year:

1984

Language:

english

File:

PDF, 1.51 MB

english, 1984

5

Methods de laplace et de la phase stationnaire sur l'espace de wiener

Arous, Gérard Ben

Journal:

Year:

1988

Language:

english

File:

PDF, 976 KB

english, 1988

6

Scaling Limit for the Ant in High-Dimensional Labyrinths

Arous, Gérard Ben, Cabezas, Manuel, Fribergh, Alexander

Journal:

Communications on Pure and Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 664 KB

english, 2019

7

Multiscale homogenization with bounded ratios and anomalous slow diffusion

Gérard Ben Arous, Houman Owhadi

Journal:

Communications on Pure and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 487 KB

english, 2003

8

Universality of local eigenvalue statistics for some sample covariance matrices

Gérard Ben Arous, Sandrine Péché

Journal:

Communications on Pure and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 312 KB

english, 2005

9

The arcsine law as a universal aging scheme for trap models

Gérard Ben Arous, Jiří Černý

Journal:

Communications on Pure and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 297 KB

english, 2008

10

Universality and extremal aging for dynamics of spin glasses on subexponential time scales

Gérard Ben Arous, Onur Gün

Journal:

Communications on Pure and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 363 KB

english, 2012

11

The rate function of hypoelliptic diffusions

Gérard Ben Arous, Jean-Dominique Deuschel

Journal:

Communications on Pure and Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 559 KB

english, 1994

12

Stochastic approximations to curve-shortening flows via particle systems

Gérard Ben Arous, Allen Tannenbaum, Ofer Zeitouni

Journal:

Journal of Differential Equations

Year:

2003

Language:

english

File:

PDF, 331 KB

english, 2003

13

Internal DLA in a random environment

Gérard Ben Arous, Jeremy Quastel, Alejandro F. Ramı́rez

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2003

File:

PDF, 203 KB

2003

14

Large deviations for Brownian motion on the Sierpinski gasket

Gerard Ben Arous, Takashi Kumagai

Journal:

Stochastic Processes and their Applications

Year:

2000

Language:

english

File:

PDF, 115 KB

english, 2000

15

Quenched asymptotics for survival probabilities in the random saturation process

Gérard Ben Arous, Alejandro F. Ramírez

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 543 KB

1999

16

Flots et series de Taylor stochastiques

Gérard Ben Arous

Journal:

Probability Theory and Related Fields

Year:

1989

File:

PDF, 1.96 MB

1989

17

Laplace asymptotics for reaction-diffusion equations

Gérard Ben Arous, Alain Rouault

Journal:

Probability Theory and Related Fields

Year:

1993

Language:

english

File:

PDF, 957 KB

english, 1993

18

A two armed bandit type problem

Michel Benaïm, Gerard Ben Arous

Journal:

International Journal of Game Theory

Year:

2003

Language:

english

File:

PDF, 156 KB

english, 2003

19

Glauber Dynamics of the Random Energy Model

Gérard Ben Arous, Anton Bovier, Véronique Gayrard

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 445 KB

english, 2003

20

Glauber Dynamics of the Random Energy Model

Gérard Ben Arous, Anton Bovier, Véronique Gayrard

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 410 KB

english, 2003

21

The Spectrum of Heavy Tailed Random Matrices

Gérard Ben Arous, Alice Guionnet

Journal:

Communications in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 410 KB

english, 2008

22

Universality of the REM for Dynamics of Mean-Field Spin Glasses

Gérard Ben Arous, Anton Bovier, Jiří Černý

Journal:

Communications in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 458 KB

english, 2008

23

Super-Diffusivity in a Shear Flow Model¶from Perpetual Homogenization

Gérard Ben Arous, Houman Owhadi

Journal:

Communications in Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 146 KB

english, 2002

24

Limit theorems for sums of random exponentials

Gérard Ben Arous, Leonid V. Bogachev, Stanislav A. Molchanov

Journal:

Probability Theory and Related Fields

Year:

2005

Language:

english

File:

PDF, 300 KB

english, 2005

25

Aging in two-dimensional Bouchaud's model

Gérard Ben Arous, Jiří Černý, Thomas Mountford

Journal:

Probability Theory and Related Fields

Year:

2006

Language:

english

File:

PDF, 359 KB

english, 2006

26

Cugliandolo-Kurchan equations for dynamics of Spin-Glasses

Gérard Ben Arous, Amir Dembo, Alice Guionnet

Journal:

Probability Theory and Related Fields

Year:

2006

Language:

english

File:

PDF, 369 KB

english, 2006

27

Large deviations in the Langevin dynamics of a random field Ising model

Gérard Ben Arous, Michel Sortais

Journal:

Stochastic Processes and their Applications

Year:

2003

Language:

english

File:

PDF, 392 KB

english, 2003

28

Singularities of Hypoelliptic Green Functions

Gerard Ben Arous, Mihai Gradinaru

Journal:

Potential Analysis

Year:

1998

Language:

english

File:

PDF, 304 KB

english, 1998

29

Randomly biased walks on subcritical trees

Gérard Ben Arous, Alan Hammond

Journal:

Communications on Pure and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 339 KB

english, 2012

30

A Central Limit Theorem in Many-Body Quantum Dynamics

Gérard Ben Arous, Kay Kirkpatrick…

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 486 KB

english, 2013

31

[Springer Proceedings in Mathematics & Statistics] Topics in Percolative and Disordered Systems Volume 69 ||

Ramírez, Alejandro F., Ben Arous, Gérard, Ferrari, Pablo A., Newman, Charles M., Sidoravicius, Vladas, Vares, Maria Eulália

Year:

2014

Language:

english

File:

PDF, 2.60 MB

english, 2014

32

Aging in the Random Energy Model

Arous, Gérard Ben, Bovier, Anton, Gayrard, Véronique

Journal:

Physical Review Letters

Year:

2002

Language:

english

File:

PDF, 86 KB

english, 2002

33

Lyons-Pemantle-Peres Monotonicity Problem for High Biases

Ben Arous, Gérard, Fribergh, Alexander, Sidoravicius, Vladas

Journal:

Communications on Pure and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 240 KB

english, 2014

34

Methode de laplace: etude variationnelle des fluctuations de diffusions de type

Arous, Gerard Ben, Brunaud, Marc

Journal:

Stochastics An International Journal of Probability and Stochastic Processes

Year:

1990

Language:

english

File:

PDF, 2.78 MB

english, 1990

35

Bouchaud's Model Exhibits Two Different Aging Regimes in Dimension One

Gérard Ben Arous and Jiří Černý

Journal:

The Annals of Applied Probability

Year:

2005

Language:

english

File:

PDF, 1.84 MB

english, 2005

36

B || Spatio-Temporal Large Deviations Principle for Coupled Circle Maps

Jean-Baptiste Bardet and Gérard Ben Arous

Journal:

The Annals of Probability

Year:

2004

Language:

english

File:

PDF, 2.68 MB

english, 2004

37

Phase Transition of the Largest Eigenvalue for Nonnull Complex Sample Covariance Matrices

Jinho Baik, Gérard Ben Arous and Sandrine Péché

Journal:

The Annals of Probability

Year:

2005

Language:

english

File:

PDF, 3.44 MB

english, 2005

38

Scaling Limit for Trap Models on${\Bbb Z}^{d}$

Gérard Ben Arous and Jiří Černý

Journal:

The Annals of Probability

Year:

2007

Language:

english

File:

PDF, 1.71 MB

english, 2007

39

Free Extreme Values

Gerard Ben Arous and Dan Virgil Voiculescu

Journal:

The Annals of Probability

Year:

2006

Language:

english

File:

PDF, 1.88 MB

english, 2006

40

Large Deviations in the Langevin Dynamics of a Short-Range Spin Glass

Gérard Ben Arous and Michel Sortais

Journal:

Year:

2003

Language:

english

File:

PDF, 2.62 MB

english, 2003

41

Transition from the Annealed to the Quenched Asymptotics for a Random Walk on Random Obstacles

Gérard Ben Arous, Stanislav Molchanov and Alejandro F. Ramírez

Journal:

The Annals of Probability

Year:

2005

Language:

english

File:

PDF, 3.40 MB

english, 2005

42

CURRENT FLUCTUATIONS FOR TASEP: A PROOF OF THE PRÄHOFER—SPOHN CONJECTURE

Gérard Ben Arous and Ivan Corwin

Journal:

The Annals of Probability

Year:

2011

Language:

english

File:

PDF, 2.57 MB

english, 2011

43

Asymptotic Survival Probabilities in the Random Saturation Process

Gerard Ben Arous and Alejandro F. Ramirez

Journal:

The Annals of Probability

Year:

2000

Language:

english

File:

PDF, 3.25 MB

english, 2000

44

[WORLD SCIENTIFIC Proceedings of the First Sino-German Conference on Stochastic Analysis (A Satellite Conference of ICM 2002) - Beijing, China (29 August – 3 September 2002)] Recent Developments in Stochastic Analysis and Related Topics - Limit laws for sums of random exponentials

Arous, Gérard Ben, Bogachev, Leonid, Molchanov, Stanislav

Language:

english

File:

PDF, 730 KB

english

45

On fluctuations of eigenvalues of random permutation matrices

Ben Arous, Gérard, Dang, Kim

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2015

Language:

english

File:

PDF, 297 KB

english, 2015

46

Randomly trapped random walks

Ben Arous, Gérard, Cabezas, Manuel, Černý, Jiří, Royfman, Roman

Journal:

The Annals of Probability

Year:

2015

Language:

english

File:

PDF, 479 KB

english, 2015

47

Einstein relation for biased random walk on Galton–Watson trees

Ben Arous, Gerard, Hu, Yueyun, Olla, Stefano, Zeitouni, Ofer

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2013

Language:

english

File:

PDF, 311 KB

english, 2013

48

Extreme gaps between eigenvalues of random matrices

Ben Arous, Gérard, Bourgade, Paul

Journal:

The Annals of Probability

Year:

2013

Language:

english

File:

PDF, 365 KB

english, 2013

49

Complexity of random smooth functions on the high-dimensional sphere

Auffinger, Antonio, Ben Arous, Gerard

Journal:

The Annals of Probability

Year:

2013

Language:

english

File:

PDF, 329 KB

english, 2013

50

Biased random walks on Galton–Watson trees with leaves

Ben Arous, Gérard, Fribergh, Alexander, Gantert, Nina, Hammond, Alan

Journal:

The Annals of Probability

Year:

2012

Language:

english

File:

PDF, 472 KB

english, 2012