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1

An invariance principle for isotropic diffusions in random environment

Alain-Sol Sznitman, Ofer Zeitouni

Journal:

Inventiones mathematicae

Year:

2006

Language:

english

File:

PDF, 1.39 MB

english, 2006

2

Decoupling inequalities and interlacement percolation onG×ℤ

Alain-Sol Sznitman

Journal:

Inventiones mathematicae

Year:

2012

Language:

english

File:

PDF, 1.70 MB

english, 2012

3

A lower bound on the critical parameter of interlacement percolation in high dimension

Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

2011

Language:

english

File:

PDF, 458 KB

english, 2011

4

Percolation for the vacant set of random interlacements

Vladas Sidoravicius, Alain-Sol Sznitman

Journal:

Communications on Pure and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 262 KB

english, 2009

5

Lifschitz Tail and Wiener Sausage on hyperbolic space

Alain-Sol Sznitman

Journal:

Communications on Pure and Applied Mathematics

Year:

1989

Language:

english

File:

PDF, 1.18 MB

english, 1989

6

Long time asymptotics for the shrinking wiener sausage

Alain-Sol Sznitman

Journal:

Communications on Pure and Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 458 KB

english, 1990

7

On the confinement property of two-dimensional Brownian motion among poissonian obstacles

Alain-Sol Sznitman

Journal:

Communications on Pure and Applied Mathematics

Year:

1991

Language:

english

File:

PDF, 1.26 MB

english, 1991

8

Brownian motion with a drift in a poissonian potential

Alain-Sol Sznitman

Journal:

Communications on Pure and Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 1.12 MB

english, 1994

9

Shape theorem, lyapounov exponents, and large deviations for brownian motion in a poissonian potential

Alain-Sol Sznitman

Journal:

Communications on Pure and Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 1.19 MB

english, 1994

10

Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated

Alain-Sol Sznitman

Journal:

Journal of Functional Analysis

Year:

1984

Language:

english

File:

PDF, 1.06 MB

english, 1984

11

Lifschitz tail and Wiener sausage, II

Alain-Sol Sznitman

Journal:

Journal of Functional Analysis

Year:

1990

Language:

english

File:

PDF, 1.20 MB

english, 1990

12

Lifschitz tail and Wiener sausage, I

Alain-Sol Sznitman

Journal:

Journal of Functional Analysis

Year:

1990

Language:

english

File:

PDF, 1.06 MB

english, 1990

13

Some connections between excursion theory and the discrete Schrödinger equation with random potentials

Peter March, Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

1987

Language:

english

File:

PDF, 1.81 MB

english, 1987

14

Martingales dépendant d'un paramètre: une formule d'Ito

Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

1982

File:

PDF, 1.30 MB

1982

15

Random walks on discrete cylinders and random interlacements

Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

2009

Language:

english

File:

PDF, 403 KB

english, 2009

16

Slowdown and neutral pockets for a random walk in random environment

Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

1999

Language:

english

File:

PDF, 240 KB

english, 1999

17

Phase Transition and Level-Set Percolation for the Gaussian Free Field

Pierre-François Rodriguez, Alain-Sol Sznitman

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 474 KB

english, 2013

18

On scaling limits and Brownian interlacements

Sznitman, Alain-Sol

Journal:

Bulletin of the Brazilian Mathematical Society, New Series

Year:

2013

Language:

english

File:

PDF, 330 KB

english, 2013

19

On New Examples of Ballistic Random Walks in Random Environment

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

2003

Language:

english

File:

PDF, 2.54 MB

english, 2003

20

Brownian Survival Among Gibbsian Traps

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

1993

Language:

english

File:

PDF, 1.11 MB

english, 1993

21

On a Class of Transient Random Walks in Random Environment

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

2001

Language:

english

File:

PDF, 2.06 MB

english, 2001

22

Upper Bound on the Disconnection Time of Discrete Cylinders and Random Interlacements

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

2009

Language:

english

File:

PDF, 1.88 MB

english, 2009

23

RANDOM INTERLACEMENTS AND THE GAUSSIAN FREE FIELD

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

2012

Language:

english

File:

PDF, 2.24 MB

english, 2012

24

An isomorphism theorem for random interlacements

Sznitman, Alain-Sol

Journal:

Electronic Communications in Probability

Year:

2012

Language:

english

File:

PDF, 257 KB

english, 2012

25

Lifschitz tail on hyperbolic space: Neumann conditions

Alain-Sol Sznitman

Journal:

Communications on Pure and Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.07 MB

english, 1990

26

On the diffusive behavior of isotropic diffusions in a random environment

Alain-Sol Sznitman, Ofer Zeitouni

Journal:

Comptes Rendus Mathematique

Year:

2004

File:

PDF, 117 KB

2004

27

Cut points and diffusive random walks in random environment

Erwin Bolthausen, Alain-Sol Sznitman, Ofer Zeitouni

Journal:

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

Year:

2003

Language:

english

File:

PDF, 233 KB

english, 2003

28

Brownian confinement and pinning in a Poissonian potential. II

Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

1996

Language:

english

File:

PDF, 1.05 MB

english, 1996

29

Brownian confinement and pinning in a Poissonian potential. I

Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

1996

Language:

english

File:

PDF, 1.19 MB

english, 1996

30

Brownian asymptotics in a Poissonian environment

Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

1993

Language:

english

File:

PDF, 914 KB

english, 1993

31

Brownian motion in a Poissonian potential

Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

1993

Language:

english

File:

PDF, 1.38 MB

english, 1993

32

On the Anisotropic Walk on the Supercritical Percolation Cluster

Alain-Sol Sznitman

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 257 KB

english, 2003

33

Fluctuations of Principal Eigenvalues and Random Scales

Alain-Sol Sznitman

Journal:

Communications in Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 298 KB

english, 1997

34

Quenched invariance principles for walks on clusters of percolation or among random conductances

Vladas Sidoravicius, Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

2004

Language:

english

File:

PDF, 294 KB

english, 2004

35

On the disconnection of a discrete cylinder by a random walk

Amir Dembo, Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

2006

Language:

english

File:

PDF, 190 KB

english, 2006

36

An effective criterion for ballistic behavior of random walks in random environment

Alain-Sol Sznitman

Journal:

Probability Theory and Related Fields

Year:

2002

Language:

english

File:

PDF, 270 KB

english, 2002

37

Slowdown estimates and central limit theorem for random walks in random environment

Alain-Sol Sznitman

Journal:

Journal of the European Mathematical Society

Year:

2000

Language:

english

File:

PDF, 381 KB

english, 2000

38

Large deviations for occupation time profiles of random interlacements

Li, Xinyi, Sznitman, Alain-Sol

Journal:

Probability Theory and Related Fields

Year:

2015

Language:

english

File:

PDF, 505 KB

english, 2015

39

Giant component and vacant set for random walk on a discrete torus

Benjamini, Itai, Sznitman, Alain-Sol

Journal:

Journal of the European Mathematical Society

Year:

2008

Language:

english

File:

PDF, 326 KB

english, 2008

40

Zur Verleihung des Abel-Preises 2007 an S. R. Srinisava Varadhan

Bolthausen, Erwin, Sznitman, Alain-Sol

Journal:

Mitteilungen der Deutschen Mathematiker-Vereinigung

Year:

2007

Language:

german

File:

PDF, 86 KB

german, 2007

41

Crossing Velocities and Random Lattice Animals

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

1995

Language:

english

File:

PDF, 1.04 MB

english, 1995

42

Distance Fluctuations and Lyapounov Exponents

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

1996

Language:

english

File:

PDF, 1.33 MB

english, 1996

43

Disconnection, random walks, and random interlacements

Sznitman, Alain-Sol

Journal:

Probability Theory and Related Fields

Year:

2017

Language:

english

File:

PDF, 895 KB

english, 2017

44

ON THE CRITICAL PARAMETER OF INTERLACEMENT PERCOLATION IN HIGH DIMENSION

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

2011

Language:

english

File:

PDF, 2.01 MB

english, 2011

45

How Universal Are Asymptotics of Disconnection Times in Discrete Cylinders?

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

2008

Language:

english

File:

PDF, 2.92 MB

english, 2008

46

Capacity and Principal Eigenvalues: The Method of Enlargement of Obstacles Revisited

Alain-Sol Sznitman

Journal:

The Annals of Probability

Year:

1997

Language:

english

File:

PDF, 1.66 MB

english, 1997

47

A Law of Large Numbers for Random Walks in Random Environment

Alain-Sol Sznitman and Martin Zerner

Journal:

The Annals of Probability

Year:

1999

Language:

english

File:

PDF, 1.14 MB

english, 1999

48

Disconnection and level-set percolation for the Gaussian free field

SZNITMAN, Alain-Sol

Journal:

Journal of the Mathematical Society of Japan

Year:

2015

Language:

english

File:

PDF, 374 KB

english, 2015

49

A lower bound for disconnection by random interlacements

Li, Xinyi, Sznitman, Alain-Sol

Journal:

Electronic Journal of Probability

Year:

2014

Language:

english

File:

PDF, 349 KB

english, 2014

50

Connectivity bounds for the vacant set of random interlacements

Sidoravicius, Vladas, Sznitman, Alain-Sol

Journal:

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

Year:

2010

File:

PDF, 248 KB

2010

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