SU\G(𝔸)/K·U

Alain‐Sol Sznitman

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All published works
Action Title Year Authors
+ On bulk deviations for the local behavior of random interlacements 2023 Alain‐Sol Sznitman
+ On the spectral gap in the Kac–Luttinger model and Bose–Einstein condensation 2023 Alain‐Sol Sznitman
+ PDF Chat On the cost of the bubble set for random interlacements 2023 Alain‐Sol Sznitman
+ On the spectral gap in the Kac-Luttinger model and Bose-Einstein condensation 2022 Alain‐Sol Sznitman
+ PDF Chat Excess deviations for points disconnected by random interlacements 2021 Alain‐Sol Sznitman
+ On the cost of the bubble set for random interlacements 2021 Alain‐Sol Sznitman
+ PDF Chat On the C 1-Property of the Percolation Function of Random Interlacements and a Related Variational Problem 2020 Alain‐Sol Sznitman
+ Excess deviations for points disconnected by random interlacements 2020 Alain‐Sol Sznitman
+ PDF Chat Solidification of porous interfaces and disconnection 2020 Maximilian Nitzschner
Alain‐Sol Sznitman
+ PDF Chat On macroscopic holes in some supercritical strongly dependent percolation models 2019 Alain‐Sol Sznitman
+ On coupling and “vacant set level set” percolation 2019 Alain‐Sol Sznitman
+ On the $C^1$-property of the percolation function of random interlacements and a related variational problem 2019 Alain‐Sol Sznitman
+ On bulk deviations for the local behavior of random interlacements 2019 Alain‐Sol Sznitman
+ PDF Chat Level-set percolation for the Gaussian free field on a transient tree 2018 Angelo Abächerli
Alain‐Sol Sznitman
+ Coupling and an application to level-set percolation of the Gaussian free field 2016 Alain‐Sol Sznitman
+ PDF Chat Disconnection, random walks, and random interlacements 2015 Alain‐Sol Sznitman
+ Disconnection and level-set percolation for the Gaussian free field 2015 Alain‐Sol Sznitman
+ Coupling and an application to level-set percolation of the Gaussian free field 2015 Alain‐Sol Sznitman
+ Coupling and an application to level-set percolation of the Gaussian free field 2015 Alain‐Sol Sznitman
+ Disconnection and level-set percolation for the Gaussian free field 2014 Alain‐Sol Sznitman
+ PDF Chat Large deviations for occupation time profiles of random interlacements 2014 Xinyi Li
Alain‐Sol Sznitman
+ PDF Chat A lower bound for disconnection by random interlacements 2014 Xinyi Li
Alain‐Sol Sznitman
+ Disconnection and level-set percolation for the Gaussian free field 2014 Alain‐Sol Sznitman
+ PDF Chat On scaling limits and Brownian interlacements 2013 Alain‐Sol Sznitman
+ PDF Chat Phase Transition and Level-Set Percolation for the Gaussian Free Field 2012 Pierre‐François Rodriguez
Alain‐Sol Sznitman
+ Random interlacements and the Gaussian free field 2012 Alain‐Sol Sznitman
+ Topics in Occupation Times and Gaussian Free Fields 2012 Alain‐Sol Sznitman
+ PDF Chat An isomorphism theorem for random interlacements 2012 Alain‐Sol Sznitman
+ Interacting Particle Systems at Saint-Flour 2011 Richard Durrett
Thomas M. Liggett
Frank Spitzer
Alain‐Sol Sznitman
+ An isomorphism theorem for random interlacements 2011 Alain‐Sol Sznitman
+ PDF Chat Decoupling inequalities and interlacement percolation on G×ℤ 2011 Alain‐Sol Sznitman
+ An isomorphism theorem for random interlacements 2011 Alain‐Sol Sznitman
+ PDF Chat On the critical parameter of interlacement percolation in high dimension 2010 Alain‐Sol Sznitman
+ PDF Chat Connectivity bounds for the vacant set of random interlacements 2010 Vladas Sidoravičius
Alain‐Sol Sznitman
+ PDF Chat Vacant set of random interlacements and percolation 2010 Alain‐Sol Sznitman
+ PDF Chat A lower bound on the critical parameter of interlacement percolation in high dimension 2010 Alain‐Sol Sznitman
+ A lower bound on the critical parameter of interlacement percolation in high dimension 2010 Alain‐Sol Sznitman
+ A lower bound on the critical parameter of interlacement percolation in high dimension 2010 Alain‐Sol Sznitman
+ Upper bound on the disconnection time of discrete cylinders and random interlacements 2009 Alain‐Sol Sznitman
+ PDF Chat On the domination of a random walk on a discrete cylinder by random interlacements 2009 Alain‐Sol Sznitman
+ On the Domination of Random Walk on a Discrete Cylinder by Random Interlacements 2009 Alain‐Sol Sznitman
+ PDF Chat Percolation for the vacant set of random interlacements 2008 Vladas Sidoravičius
Alain‐Sol Sznitman
+ PDF Chat Random walks on discrete cylinders and random interlacements 2008 Alain‐Sol Sznitman
+ PDF Chat Giant component and vacant set for random walk on a discrete torus 2008 Itaı Benjamini
Alain‐Sol Sznitman
+ A Lower Bound on the Disconnection Time of a Discrete Cylinder 2008 Amir Dembo
Alain‐Sol Sznitman
+ Percolation for the Vacant Set of Random Interlacements 2008 Vladas Sidoravičius
Alain‐Sol Sznitman
+ Random Walks on Discrete Cylinders and Random Interlacements 2008 Alain‐Sol Sznitman
+ How universal are asymptotics of disconnection times in discrete cylinders? 2007 Alain‐Sol Sznitman
+ Vacant Set of Random Interlacements and Percolation 2007 Alain‐Sol Sznitman
+ Vacant Set of Random Interlacements and Percolation 2007 Alain‐Sol Sznitman
+ A Lower Bound on the Disconnection Time of a Discrete Cylinder 2007 Amir Dembo
Alain‐Sol Sznitman
+ PDF Chat An invariance principle for isotropic diffusions in random environment 2006 Alain‐Sol Sznitman
Ofer Zeitouni
+ Course 4 Random motions in random media 2006 Alain‐Sol Sznitman
+ Giant Component and Vacant Set for Random Walk on a Discrete Torus 2006 Itaı Benjamini
Alain‐Sol Sznitman
+ PDF Chat On the disconnection of a discrete cylinder by a random walk 2005 Amir Dembo
Alain‐Sol Sznitman
+ PDF Chat On the diffusive behavior of isotropic diffusions in a random environment 2004 Alain‐Sol Sznitman
Ofer Zeitouni
+ PDF Chat Quenched invariance principles for walks on clusters of percolation or among random conductances 2004 Vladas Sidoravičius
Alain‐Sol Sznitman
+ PDF Chat On the Anisotropic Walk on the Supercritical Percolation Cluster 2003 Alain‐Sol Sznitman
+ Points de coupure et marches aléatoires diffusives en milieu aléatoire 2003 Erwin Bolthausen
Alain‐Sol Sznitman
Ofer Zeitouni
+ PDF Chat On new examples of ballistic random walks in random environment 2003 Alain‐Sol Sznitman
+ PDF Chat An effective criterion for ballistic behavior of random walks in random environment 2002 Alain‐Sol Sznitman
+ On the Sherrington-Kirkpatrick Model of Spin Glasses 2002 Erwin Bolthausen
Alain‐Sol Sznitman
+ Multi-Dimensional Random Walks in Random Environment 2002 Erwin Bolthausen
Alain‐Sol Sznitman
+ Long Time Survival among Random Traps 2002 Erwin Bolthausen
Alain‐Sol Sznitman
+ More on Random Walks in Random Environment 2002 Erwin Bolthausen
Alain‐Sol Sznitman
+ Markovian Clustering, Reshuffling, and a Self-Consistency Equation 2002 Erwin Bolthausen
Alain‐Sol Sznitman
+ PDF Chat On the Satic and Dynamic Points of View for Certain Random Walks in Random Environment 2002 Erwin Bolthausen
Alain‐Sol Sznitman
+ The Generalized Random Energy Model and Induced Clusterings 2002 Erwin Bolthausen
Alain‐Sol Sznitman
+ Central Limit Theorem for Random Walks in Random Environment with Null Drift 2002 Erwin Bolthausen
Alain‐Sol Sznitman
+ PDF Chat On a Class Of Transient Random Walks in Random Environment 2001 Alain‐Sol Sznitman
+ PDF Chat Slowdown estimates and central limit theorem for random walks in random environment 2000 Alain‐Sol Sznitman
+ PDF Chat A Law of Large Numbers for Random Walks in Random Environment 1999 Alain‐Sol Sznitman
Martin Zerner
+ PDF Chat Slowdown and neutral pockets for a random walk in random environment 1999 Alain‐Sol Sznitman
+ The Method of Enlargement of Obstacles 1998 Alain‐Sol Sznitman
+ The Feynman-Kac Formula and Semigroups 1998 Alain‐Sol Sznitman
+ Overview, further Results and Problems 1998 Alain‐Sol Sznitman
+ Some Principal Eigenvalue Estimates 1998 Alain‐Sol Sznitman
+ Quenched Path Measure and Pinning Effect 1998 Alain‐Sol Sznitman
+ Lyapunov Exponents 1998 Alain‐Sol Sznitman
+ Fluctuations of Principal Eigenvalues and Random Scales 1997 Alain‐Sol Sznitman
+ PDF Chat Capacity and principal eigenvalues: the method of enlargement of obstacles revisited 1997 Alain‐Sol Sznitman
+ PDF Chat Distance fluctuations and Lyapounov exponents 1996 Alain‐Sol Sznitman
+ PDF Chat Brownian confinement and pinning in a Poissonian potential. I 1996 Alain‐Sol Sznitman
+ PDF Chat Brownian confinement and pinning in a Poissonian potential. II 1996 Alain‐Sol Sznitman
+ PDF Chat Brownian confinement and pinning in a Poissonian potential. I 1996 Alain‐Sol Sznitman
+ Quenched Critical Large Deviations for Brownian Motion in a Poissonian Potential 1995 Alain‐Sol Sznitman
+ PDF Chat Crossing Velocities and Random Lattice Animals 1995 Alain‐Sol Sznitman
+ Shape theorem, lyapounov exponents, and large deviations for brownian motion in a poissonian potential 1994 Alain‐Sol Sznitman
+ Brownian motion with a drift in a poissonian potential 1994 Alain‐Sol Sznitman
+ Brownian Motion and Obstacles 1994 Alain‐Sol Sznitman
+ Some aspects of Brownian motion in a Poissonian potential 1994 Alain‐Sol Sznitman
+ Brownian Motion and Obstacles 1994 Alain‐Sol Sznitman
+ PDF Chat Brownian motion in a Poissonian potential 1993 Alain‐Sol Sznitman
+ PDF Chat Brownian asymptotics in a Poissonian environment 1993 Alain‐Sol Sznitman
+ PDF Chat Brownian Survival Among Gibbsian Traps 1993 Alain‐Sol Sznitman
+ On the confinement property of two‐dimensional Brownian motion among poissonian obstacles 1991 Alain‐Sol Sznitman
+ Topics in propagation of chaos 1991 Alain‐Sol Sznitman
+ Lifschitz tail and Wiener sausage, I 1990 Alain‐Sol Sznitman
+ Lifschitz tail and Wiener sausage, II 1990 Alain‐Sol Sznitman
+ Long time asymptotics for the shrinking wiener sausage 1990 Alain‐Sol Sznitman
+ Lifschitz tail on hyperbolic space: Neumann conditions 1990 Alain‐Sol Sznitman
+ Lifschitz Tail and Wiener Sausage on hyperbolic space 1989 Alain‐Sol Sznitman
+ Some bounds and limiting results for the measure of Wiener sausage of small radius associated with elliptic diffusions 1987 Alain‐Sol Sznitman
+ Stochastic differential equations with reflecting boundary conditions 1984 Pierre‐Louis Lions
Alain‐Sol Sznitman
+ Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated 1984 Alain‐Sol Sznitman
+ PDF Chat An equation involving local time 1983 Philip Protter
Alain‐Sol Sznitman
+ PDF Chat Martingales dépendant d'un paramètre: une formule d'Ito 1982 Alain‐Sol Sznitman
Common Coauthors
Coauthor Papers Together
Erwin Bolthausen 9
Vladas Sidoravičius 4
Amir Dembo 3
Ofer Zeitouni 3
Itaï Benjamini 2
Xinyi Li 2
Frank Spitzer 1
Thomas M. Liggett 1
Richard Durrett 1
Pierre‐Louis Lions 1
Maximilian Nitzschner 1
Pierre-François Rodríguez 1
Martin Zerner 1
Angelo Abächerli 1
Philip Protter 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Vacant set of random interlacements and percolation 2010 Alain‐Sol Sznitman
 25
+ PDF Chat Percolation for the vacant set of random interlacements 2008 Vladas Sidoravičius
Alain‐Sol Sznitman
 19
+ Interlacement percolation on transient weighted graphs 2009 Augusto Teixeira
 16
+ PDF Chat On the uniqueness of the infinite cluster of the vacant set of random interlacements 2009 Augusto Teixeira
 13
+ PDF Chat Large deviations for three dimensional supercritical percolation 2018 Raphaël Cerf
 12
+ PDF Chat An isomorphism theorem for random interlacements 2012 Alain‐Sol Sznitman
 12
+ PDF Chat Local percolative properties of the vacant set of random interlacements with small intensity 2014 Alexander Drewitz
Balázs Ráth
Artëm Sapozhnikov
 11
+ Percolation 1999 Geoffrey Grimmett
 11
+ PDF Chat On the disconnection of a discrete cylinder by a random walk 2005 Amir Dembo
Alain‐Sol Sznitman
 11
+ An Introduction to Random Interlacements 2014 Alexander Drewitz
Balázs Ráth
Artëm Sapozhnikov
 10
+ PDF Chat Random walks in asymmetric random environments 1991 Jean Bricmont
A. Kupiainen
 10
+ Lifschitz tail and Wiener sausage, I 1990 Alain‐Sol Sznitman
 10
+ From random walk trajectories to random interlacements 2013 Augusto Teixeira
Jǐŕı Černý
 10
+ PDF Chat Random walks on discrete cylinders and random interlacements 2008 Alain‐Sol Sznitman
 9
+ PDF Chat On the size of a finite vacant cluster of random interlacements with small intensity 2010 Augusto Teixeira
 9
+ Upper bound on the disconnection time of discrete cylinders and random interlacements 2009 Alain‐Sol Sznitman
 9
+ The method of averaging and walks in inhomogeneous environments 1985 С. М. Козлов
 9
+ PDF Chat Soft local times and decoupling of random interlacements 2015 Serguei Popov
Augusto Teixeira
 9
+ How universal are asymptotics of disconnection times in discrete cylinders? 2007 Alain‐Sol Sznitman
 8
+ PDF Chat Random walk on a discrete torus and random interlacements 2008 David Windisch
 8
+ PDF Chat Brownian Survival Among Gibbsian Traps 1993 Alain‐Sol Sznitman
 8
+ PDF Chat A lower bound for disconnection by random interlacements 2014 Xinyi Li
Alain‐Sol Sznitman
 8
+ PDF Chat A Law of Large Numbers for Random Walks in Random Environment 1999 Alain‐Sol Sznitman
Martin Zerner
 8
+ Probability: Theory and Examples. 1992 Kathryn Prewitt
Richard Durrett
 8
+ PDF Chat Weak convergence of a random walk in a random environment 1982 Gregory F. Lawler
 7
+ PDF Chat On the domination of a random walk on a discrete cylinder by random interlacements 2009 Alain‐Sol Sznitman
 7
+ Random Walks in Multidimensional Spaces, Especially on Periodic Lattices 1956 E. W. Montroll
 7
+ PDF Chat Strong invariance for local times 1983 E. Cs�ki
P. R�v�sz
 7
+ Interacting Particle Systems 2016 Thomas M. Liggett
 7
+ PDF Chat Brownian asymptotics in a Poissonian environment 1993 Alain‐Sol Sznitman
 7
+ Disconnection and level-set percolation for the Gaussian free field 2015 Alain‐Sol Sznitman
 7
+ On Positive Solutions of the Equation $\mathfrak{A}U + Vu = 0$ 1959 R. Z. Khas’minskiĭ
 7
+ PDF Chat Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions 1986 C. Kipnis
S. R. S. Varadhan
 7
+ Dirichlet Forms and Markov Processes 1980 7
+ PDF Chat Slowdown estimates and central limit theorem for random walks in random environment 2000 Alain‐Sol Sznitman
 7
+ Percolation in strongly correlated systems: The massless Gaussian field 1987 Jean Bricmont
Joel L. Lebowitz
Christian Maes
 7
+ PDF Chat Brownian motion in a Poissonian potential 1993 Alain‐Sol Sznitman
 6
+ PDF Chat Giant vacant component left by a random walk in a random d-regular graph 2011 Jǐŕı Černý
Augusto Teixeira
David Windisch
 6
+ The Wulff Construction in Three and More Dimensions 1999 T. Bodineau
 6
+ PDF Chat Slowdown and neutral pockets for a random walk in random environment 1999 Alain‐Sol Sznitman
 6
+ Random interlacements and the Gaussian free field 2012 Alain‐Sol Sznitman
 6
+ PDF Chat Connectivity bounds for the vacant set of random interlacements 2010 Vladas Sidoravičius
Alain‐Sol Sznitman
 6
+ Principles of random walk 1964 Frank Spitzer
 6
+ PDF Chat Percolation Theory for Mathematicians. 1984 J. M. Hammersley
Harry Kesten
 6
+ A Lower Bound on the Disconnection Time of a Discrete Cylinder 2008 Amir Dembo
Alain‐Sol Sznitman
 6
+ PDF Chat Generalized Random Walk in a Random Environment 1981 Steven Kalikow
 6
+ PDF Chat Asymptotics for the wiener sausage with drift 1987 Th. Eisele
Reinhard Lang
 6
+ PDF Chat Sub-Gaussian estimates of heat kernels on infinite graphs 2001 Alexander Grigor’yan
András Telcs
 6
+ PDF Chat Random Walks in a Random Environment 1975 Fred Solomon
 6
+ Probabilistic methods in some problems of scattering theory 1974 U. Mark Kac
 5