Edit Profile (opens in new tab) Sznitman, Alain-Sol Compute Distance To: Compute Author ID: sznitman.alain-sol Published as: Sznitman, Alain-Sol; Sznitman, A. S.; Sznitman, Alain Sol; Sznitman, A.-S. Homepage: https://www.math.ethz.ch/research/probability-theory/alain-sol-sznitman.html External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 100 Publications since 1978, including 4 Books Co-Authors: 19 Co-Authors with 28 Joint Publications 827 Co-Co-Authors all top 5 Co-Authors 72 single-authored 5 Bolthausen, Erwin 3 Sidoravicius, Vladas 3 Zeitouni, Ofer 2 Dembo, Amir 2 Le Jan, Yves 2 Li, Xinyi 2 Lions, Pierre-Louis 2 Varadhan, S. R. Srinivasa 1 Abächerli, Angelo 1 Benjamini, Itai 1 Durrett, Richard Timothy 1 Liggett, Thomas Milton 1 March, Peter 1 Menaldi, Jose-Luis 1 Nitzschner, Maximilian 1 Protter, Philip Elliott 1 Rodriguez, Pierre-François 1 Spitzer, Frank L. 1 Zerner, Martin P. W. all top 5 Serials 17 Probability Theory and Related Fields 12 The Annals of Probability 9 Communications on Pure and Applied Mathematics 5 Comptes Rendus de l’Académie des Sciences. Série I 4 Communications in Mathematical Physics 4 Journal of Functional Analysis 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Electronic Journal of Probability 3 Journal of the European Mathematical Society (JEMS) 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Inventiones Mathematicae 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Electronic Communications in Probability 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Mathematical Society of Japan 1 Stochastic Processes and their Applications 1 Methods and Applications of Analysis 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 DMV Seminar 1 Springer Monographs in Mathematics 1 Zurich Lectures in Advanced Mathematics 1 Probability and Mathematical Physics all top 5 Fields 99 Probability theory and stochastic processes (60-XX) 45 Statistical mechanics, structure of matter (82-XX) 9 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 2,062 times in 1,276 Documents Cited by ▼ Year ▼ Stochastic differential equations with reflecting boundary conditions. Zbl 0598.60060Lions, Pierre-Louis; Sznitman, A. S. 301 1984 Brownian motion, obstacles and random media. Zbl 0973.60003Sznitman, Alain-Sol 133 1998 Topics in propagation of chaos. Zbl 0732.60114Sznitman, Alain-Sol 116 1991 Vacant set of random interlacements and percolation. Zbl 1202.60160Sznitman, Alain-Sol 97 2010 Quenched invariance principles for walks on clusters of percolation or among random conductances. Zbl 1070.60090Sidoravicius, Vladas; Sznitman, Alain-Sol 81 2004 A law of large numbers for random walks in random environment. Zbl 0965.60100Sznitman, Alain-Sol; Zerner, Martin 76 1999 On Ruelle’s probability cascades and an abstract cavity method. Zbl 0927.60071Bolthausen, E.; Sznitman, A.-S. 73 1998 Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated. Zbl 0547.60080Sznitman, Alain-Sol 69 1984 Équations de type de Boltzmann, spatialement homogènes. Zbl 0553.60069Sznitman, Alain-Sol 58 1984 Ten lectures on random media. Zbl 1075.60128Bolthausen, Erwin; Sznitman, Alain-Sol 48 2002 Topics in random walks in random environment. Zbl 1060.60102Sznitman, Alain-Sol 45 2004 Slowdown estimates and central limit theorem for random walks in random environment. Zbl 0976.60097Sznitman, Alain-Sol 44 2000 Percolation for the vacant set of random interlacements. Zbl 1168.60036Sidoravicius, Vladas; Sznitman, Alain-Sol 40 2009 Topics in occupation times and Gaussian free fields. Zbl 1246.60003Sznitman, Alain-Sol 36 2012 Stochastic cascades and 3-dimensional Navier-Stokes equations. Zbl 0888.60072Le Jan, Y.; Sznitman, A. S. 35 1997 On the static and dynamic points of view for certain random walks in random environment. Zbl 1079.60079Bolthausen, Erwin; Sznitman, Alain-Sol 35 2002 An effective criterion for ballistic behavior of random walks in random environment. Zbl 0995.60097Sznitman, Alain-Sol 33 2002 Phase transition and level-set percolation for the Gaussian free field. Zbl 1269.82028Rodriguez, Pierre-François; Sznitman, Alain-Sol 32 2013 On a class of transient random walks in random environment. Zbl 1017.60106Sznitman, Alain-Sol 30 2001 An isomorphism theorem for random interlacements. Zbl 1247.60135Sznitman, Alain-Sol 28 2012 On the anisotropic walk on the supercritical percolation cluster. Zbl 1087.82011Sznitman, Alain-Sol 27 2003 Cut points and diffusive random walks in random environment. Zbl 1016.60094Bolthausen, Erwin; Sznitman, Alain-Sol; Zeitouni, Ofer 23 2003 Decoupling inequalities and interlacement percolation on \(G\times \mathbb Z\). Zbl 1277.60183Sznitman, Alain-Sol 23 2012 On the confinement property of two-dimensional Brownian motion among Poissonian obstacles. Zbl 0753.60075Sznitman, Alain-Sol 22 1991 Shape theorem, Lyapounov exponents, and large deviations for Brownian motion in a Poissonian potential. Zbl 0814.60022Sznitman, Alain-Sol 21 1994 Disconnection and level-set percolation for the Gaussian free field. Zbl 1337.60246Sznitman, Alain-Sol 19 2015 Lifschitz tail and Wiener sausage. I. Zbl 0732.60088Sznitman, Alain-Sol 18 1990 An invariance principle for isotropic diffusions in random environment. Zbl 1105.60079Sznitman, Alain-Sol; Zeitouni, Ofer 18 2006 On new examples of ballistic random walks in random environment. Zbl 1017.60104Sznitman, Alain-Sol 18 2003 Giant component and vacant set for random walk on a discrete torus. Zbl 1141.60057Benjamini, Itai; Sznitman, Alain-Sol 18 2008 A propagation of chaos result for Burgers’ equation. Zbl 0597.60055Sznitman, A. S. 17 1986 Brownian asymptotics in a Poissonian environment. Zbl 0792.60100Sznitman, Alain-Sol 17 1993 Interacting particle systems at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1464 (1991), 589 (1977), and 390 (1974). Zbl 1248.82021Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol 17 2012 Random walks on discrete cylinders and random interlacements. Zbl 1172.60316Sznitman, Alain-Sol 16 2009 On the disconnection of a discrete cylinder by a random walk. Zbl 1105.60029Dembo, Amir; Sznitman, Alain-Sol 15 2006 Upper bound on the disconnection time of discrete cylinders and random interlacements. Zbl 1179.60025Sznitman, Alain-Sol 15 2009 On the domination of a random walk on a discrete cylinder by random interlacements. Zbl 1196.60170Sznitman, Alain-Sol 14 2009 Propagation of chaos for a system of annihilating Brownian spheres. Zbl 0669.60094Sznitman, A. S. 14 1987 Lifschitz tail and Wiener sausage on hyperbolic space. Zbl 0696.60079Sznitman, Alain-Sol 12 1989 Distance fluctuations and Lyapunov exponents. Zbl 0871.60088Sznitman, Alain-Sol 12 1996 Lifschitz tail on hyperbolic space: Neumann conditions. Zbl 0735.60086Sznitman, Alain-Sol 11 1990 Brownian survival among Gibbsian traps. Zbl 0769.60104Sznitman, Alain-Sol 11 1993 Stochastic cascades and Navier-Stokes equations. (Cascades aléatoires et équations de Navier-Stokes.) Zbl 0876.35083Le Jan, Yves; Sznitman, Alain Sol 11 1997 On scaling limits and Brownian interlacements. Zbl 1303.60022Sznitman, Alain-Sol 11 2013 Martingales dépendant d’un paramètre: Une formule d’Itô. Zbl 0468.60055Sznitman, Alain-Sol 11 1982 Some bounds and limiting results for the measure of Wiener sausage of small radius associated with elliptic diffusions. Zbl 0628.60080Sznitman, A. S. 10 1987 Fluctuations of principal eigenvalues and random scales. Zbl 0888.60054Sznitman, Alain-Sol 10 1997 Connectivity bounds for the vacant set of random interlacements. Zbl 1210.60107Sidoravicius, Vladas; Sznitman, Alain-Sol 10 2010 Construction de processus de diffusion reflechis par penalisation du domaine. Zbl 0468.60073Lions, Pierre-Louis; Menaldi, Jose-Luis; Sznitman, Alain-Sol 10 1981 Some connections between excursion theory and the discrete Schrödinger equation with random potentials. Zbl 0592.60046March, Peter; Sznitman, Alain-Sol 9 1987 Slowdown and neutral pockets for a random walk in random environment. Zbl 0947.60095Sznitman, Alain-Sol 9 1999 Crossing velocities and random lattice animals. Zbl 0926.60083Sznitman, Alain-Sol 9 1995 Random motions in random media. Zbl 1411.60151Sznitman, Alain-Sol 9 2006 A multidimensional process involving local time. Zbl 0613.60050Sznitman, A. S.; Varadhan, S. R. S. 8 1986 Random interlacements and the Gaussian free field. Zbl 1261.60095Sznitman, Alain-Sol 8 2012 On long excursions of Brownian motion among Poissonian obstacles. Zbl 0760.60027Sznitman, Alain-Sol 8 1991 A lower bound for disconnection by random interlacements. Zbl 1355.60035Li, Xinyi; Sznitman, Alain-Sol 8 2014 How universal are asymptotics of disconnection times in discrete cylinders? Zbl 1134.60061Sznitman, Alain-Sol 8 2008 Coupling and an application to level-set percolation of the Gaussian free field. Zbl 1336.60194Sznitman, Alain-Sol 7 2016 On the critical parameter of interlacement percolation in high dimension. Zbl 1210.60047Sznitman, Alain-Sol 7 2011 Large deviations for occupation time profiles of random interlacements. Zbl 1314.60078Li, Xinyi; Sznitman, Alain-Sol 7 2015 Level-set percolation for the Gaussian free field on a transient tree. Zbl 1396.60099Abächerli, Angelo; Sznitman, Alain-Sol 6 2018 Disconnection, random walks, and random interlacements. Zbl 1365.60080Sznitman, Alain-Sol 6 2017 Annealed Lyapounov exponents and large deviations in a Poissonian potential. I. Zbl 0826.60018Sznitman, Alain-Sol 6 1995 A lower bound on the disconnection time of a discrete cylinder. Zbl 1173.82360Dembo, Amir; Sznitman, Alain-Sol 6 2008 A fluctuation result for nonlinear diffusions. Zbl 0578.60096Sznitman, A. S. 5 1985 Brownian motion with a drift in a Poissonian potential. Zbl 0814.60021Sznitman, Alain-Sol 5 1994 Quenched critical large deviations for Brownian motion in a Poissonian potential. Zbl 0853.60027Sznitman, Alain-Sol 5 1995 On macroscopic holes in some supercritical strongly dependent percolation models. Zbl 1467.60081Sznitman, Alain-Sol 5 2019 Long time asymptotics for the shrinking Wiener sausage. Zbl 0718.60091Sznitman, Alain-Sol 4 1990 Brownian motion in a Poissonian potential. Zbl 0794.60110Sznitman, Alain-Sol 4 1993 Capacity and principal eigenvalues: The method of enlargement of obstacles revisited. Zbl 0885.60063Sznitman, Alain-Sol 4 1997 On the diffusive behavior of isotropic diffusions in a random environment. Zbl 1051.60097Sznitman, Alain-Sol; Zeitouni, Ofer 4 2004 A limiting result for the structure of collisions between many independent diffusions. Zbl 0659.60130Sznitman, Alain Sol 4 1989 A lower bound on the critical parameter of interlacement percolation in high dimension. Zbl 1230.60103Sznitman, Alain-Sol 4 2011 Lifschitz tail and Wiener sausage. II. Zbl 0732.60089Sznitman, Alain-Sol 3 1990 Equations de type Boltzmann, spatialement homogenes. Zbl 0514.60083Sznitman, Alain-Sol 3 1982 Singularité de Lifschitz et saucisse de Wiener sur l’espace hyperbolique. (Lifschitz tail and Wiener sausage on hyperbolic space). Zbl 0655.60065Sznitman, Alain-Sol 3 1988 Brownian motion and obstacles. Zbl 0815.60077Sznitman, Alain-Sol 3 1994 Annealed Lyapounov exponents and large deviations in a Poissonian potential. II. Zbl 0826.60019Sznitman, Alain-Sol 3 1995 Brownian confinement and pinning in a Poissonian potential. II. Zbl 0865.60099Sznitman, Alain-Sol 3 1996 Perturbations pontuelles d’évolutions: Construction d’espaces stationnaires. Zbl 0465.60042Sznitman, Alain-Sol 3 1980 On coupling and “Vacant set level set” percolation. Zbl 1412.60135Sznitman, Alain-Sol 2 2019 A propagation of chaos result of Burgers’ equation. Zbl 0648.60105Sznitman, A. S. 2 1987 On \({(\mathbb Z / N\mathbb Z)}^2\)-occupation times, the Gaussian free field, and random interlacements. Zbl 1307.60103Sznitman, Alain-Sol 2 2012 Brownian confinement and pinning in a Poissonian potential. I. Zbl 0865.60098Sznitman, Alain-Sol 2 1996 Martingales dependant d’un paramètre: une formule d’Ito. Zbl 0478.60063Sznitman, Alain-Sol 2 1981 Solidification of porous interfaces and disconnection. Zbl 1475.60145Nitzschner, Maximilian; Sznitman, Alain-Sol 2 2020 Milieux aléatoires et petites valeurs propres. (Random media and low eigenvalues). Zbl 1025.60046Sznitman, Alain-Sol 1 2001 A trajectorial representation for certain nonlinear equations. Zbl 0694.60097Sznitman, Alain-Sol 1 1988 Some aspects of Brownian motion in a Poissonian potential. Zbl 0839.60091Sznitman, Alain-Sol 1 1995 Solidification of porous interfaces and disconnection. Zbl 1475.60145Nitzschner, Maximilian; Sznitman, Alain-Sol 2 2020 On macroscopic holes in some supercritical strongly dependent percolation models. Zbl 1467.60081Sznitman, Alain-Sol 5 2019 On coupling and “Vacant set level set” percolation. Zbl 1412.60135Sznitman, Alain-Sol 2 2019 Level-set percolation for the Gaussian free field on a transient tree. Zbl 1396.60099Abächerli, Angelo; Sznitman, Alain-Sol 6 2018 Disconnection, random walks, and random interlacements. Zbl 1365.60080Sznitman, Alain-Sol 6 2017 Coupling and an application to level-set percolation of the Gaussian free field. Zbl 1336.60194Sznitman, Alain-Sol 7 2016 Disconnection and level-set percolation for the Gaussian free field. Zbl 1337.60246Sznitman, Alain-Sol 19 2015 Large deviations for occupation time profiles of random interlacements. Zbl 1314.60078Li, Xinyi; Sznitman, Alain-Sol 7 2015 A lower bound for disconnection by random interlacements. Zbl 1355.60035Li, Xinyi; Sznitman, Alain-Sol 8 2014 Phase transition and level-set percolation for the Gaussian free field. Zbl 1269.82028Rodriguez, Pierre-François; Sznitman, Alain-Sol 32 2013 On scaling limits and Brownian interlacements. Zbl 1303.60022Sznitman, Alain-Sol 11 2013 Topics in occupation times and Gaussian free fields. Zbl 1246.60003Sznitman, Alain-Sol 36 2012 An isomorphism theorem for random interlacements. Zbl 1247.60135Sznitman, Alain-Sol 28 2012 Decoupling inequalities and interlacement percolation on \(G\times \mathbb Z\). Zbl 1277.60183Sznitman, Alain-Sol 23 2012 Interacting particle systems at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1464 (1991), 589 (1977), and 390 (1974). Zbl 1248.82021Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol 17 2012 Random interlacements and the Gaussian free field. Zbl 1261.60095Sznitman, Alain-Sol 8 2012 On \({(\mathbb Z / N\mathbb Z)}^2\)-occupation times, the Gaussian free field, and random interlacements. Zbl 1307.60103Sznitman, Alain-Sol 2 2012 On the critical parameter of interlacement percolation in high dimension. Zbl 1210.60047Sznitman, Alain-Sol 7 2011 A lower bound on the critical parameter of interlacement percolation in high dimension. Zbl 1230.60103Sznitman, Alain-Sol 4 2011 Vacant set of random interlacements and percolation. Zbl 1202.60160Sznitman, Alain-Sol 97 2010 Connectivity bounds for the vacant set of random interlacements. Zbl 1210.60107Sidoravicius, Vladas; Sznitman, Alain-Sol 10 2010 Percolation for the vacant set of random interlacements. Zbl 1168.60036Sidoravicius, Vladas; Sznitman, Alain-Sol 40 2009 Random walks on discrete cylinders and random interlacements. Zbl 1172.60316Sznitman, Alain-Sol 16 2009 Upper bound on the disconnection time of discrete cylinders and random interlacements. Zbl 1179.60025Sznitman, Alain-Sol 15 2009 On the domination of a random walk on a discrete cylinder by random interlacements. Zbl 1196.60170Sznitman, Alain-Sol 14 2009 Giant component and vacant set for random walk on a discrete torus. Zbl 1141.60057Benjamini, Itai; Sznitman, Alain-Sol 18 2008 How universal are asymptotics of disconnection times in discrete cylinders? Zbl 1134.60061Sznitman, Alain-Sol 8 2008 A lower bound on the disconnection time of a discrete cylinder. Zbl 1173.82360Dembo, Amir; Sznitman, Alain-Sol 6 2008 An invariance principle for isotropic diffusions in random environment. Zbl 1105.60079Sznitman, Alain-Sol; Zeitouni, Ofer 18 2006 On the disconnection of a discrete cylinder by a random walk. Zbl 1105.60029Dembo, Amir; Sznitman, Alain-Sol 15 2006 Random motions in random media. Zbl 1411.60151Sznitman, Alain-Sol 9 2006 Quenched invariance principles for walks on clusters of percolation or among random conductances. Zbl 1070.60090Sidoravicius, Vladas; Sznitman, Alain-Sol 81 2004 Topics in random walks in random environment. Zbl 1060.60102Sznitman, Alain-Sol 45 2004 On the diffusive behavior of isotropic diffusions in a random environment. Zbl 1051.60097Sznitman, Alain-Sol; Zeitouni, Ofer 4 2004 On the anisotropic walk on the supercritical percolation cluster. Zbl 1087.82011Sznitman, Alain-Sol 27 2003 Cut points and diffusive random walks in random environment. Zbl 1016.60094Bolthausen, Erwin; Sznitman, Alain-Sol; Zeitouni, Ofer 23 2003 On new examples of ballistic random walks in random environment. Zbl 1017.60104Sznitman, Alain-Sol 18 2003 Ten lectures on random media. Zbl 1075.60128Bolthausen, Erwin; Sznitman, Alain-Sol 48 2002 On the static and dynamic points of view for certain random walks in random environment. Zbl 1079.60079Bolthausen, Erwin; Sznitman, Alain-Sol 35 2002 An effective criterion for ballistic behavior of random walks in random environment. Zbl 0995.60097Sznitman, Alain-Sol 33 2002 On a class of transient random walks in random environment. Zbl 1017.60106Sznitman, Alain-Sol 30 2001 Milieux aléatoires et petites valeurs propres. (Random media and low eigenvalues). Zbl 1025.60046Sznitman, Alain-Sol 1 2001 Slowdown estimates and central limit theorem for random walks in random environment. Zbl 0976.60097Sznitman, Alain-Sol 44 2000 A law of large numbers for random walks in random environment. Zbl 0965.60100Sznitman, Alain-Sol; Zerner, Martin 76 1999 Slowdown and neutral pockets for a random walk in random environment. Zbl 0947.60095Sznitman, Alain-Sol 9 1999 Brownian motion, obstacles and random media. Zbl 0973.60003Sznitman, Alain-Sol 133 1998 On Ruelle’s probability cascades and an abstract cavity method. Zbl 0927.60071Bolthausen, E.; Sznitman, A.-S. 73 1998 Stochastic cascades and 3-dimensional Navier-Stokes equations. Zbl 0888.60072Le Jan, Y.; Sznitman, A. S. 35 1997 Stochastic cascades and Navier-Stokes equations. (Cascades aléatoires et équations de Navier-Stokes.) Zbl 0876.35083Le Jan, Yves; Sznitman, Alain Sol 11 1997 Fluctuations of principal eigenvalues and random scales. Zbl 0888.60054Sznitman, Alain-Sol 10 1997 Capacity and principal eigenvalues: The method of enlargement of obstacles revisited. Zbl 0885.60063Sznitman, Alain-Sol 4 1997 Distance fluctuations and Lyapunov exponents. Zbl 0871.60088Sznitman, Alain-Sol 12 1996 Brownian confinement and pinning in a Poissonian potential. II. Zbl 0865.60099Sznitman, Alain-Sol 3 1996 Brownian confinement and pinning in a Poissonian potential. I. Zbl 0865.60098Sznitman, Alain-Sol 2 1996 Crossing velocities and random lattice animals. Zbl 0926.60083Sznitman, Alain-Sol 9 1995 Annealed Lyapounov exponents and large deviations in a Poissonian potential. I. Zbl 0826.60018Sznitman, Alain-Sol 6 1995 Quenched critical large deviations for Brownian motion in a Poissonian potential. Zbl 0853.60027Sznitman, Alain-Sol 5 1995 Annealed Lyapounov exponents and large deviations in a Poissonian potential. II. Zbl 0826.60019Sznitman, Alain-Sol 3 1995 Some aspects of Brownian motion in a Poissonian potential. Zbl 0839.60091Sznitman, Alain-Sol 1 1995 Shape theorem, Lyapounov exponents, and large deviations for Brownian motion in a Poissonian potential. Zbl 0814.60022Sznitman, Alain-Sol 21 1994 Brownian motion with a drift in a Poissonian potential. Zbl 0814.60021Sznitman, Alain-Sol 5 1994 Brownian motion and obstacles. Zbl 0815.60077Sznitman, Alain-Sol 3 1994 Brownian asymptotics in a Poissonian environment. Zbl 0792.60100Sznitman, Alain-Sol 17 1993 Brownian survival among Gibbsian traps. Zbl 0769.60104Sznitman, Alain-Sol 11 1993 Brownian motion in a Poissonian potential. Zbl 0794.60110Sznitman, Alain-Sol 4 1993 Topics in propagation of chaos. Zbl 0732.60114Sznitman, Alain-Sol 116 1991 On the confinement property of two-dimensional Brownian motion among Poissonian obstacles. Zbl 0753.60075Sznitman, Alain-Sol 22 1991 On long excursions of Brownian motion among Poissonian obstacles. Zbl 0760.60027Sznitman, Alain-Sol 8 1991 Lifschitz tail and Wiener sausage. I. Zbl 0732.60088Sznitman, Alain-Sol 18 1990 Lifschitz tail on hyperbolic space: Neumann conditions. Zbl 0735.60086Sznitman, Alain-Sol 11 1990 Long time asymptotics for the shrinking Wiener sausage. Zbl 0718.60091Sznitman, Alain-Sol 4 1990 Lifschitz tail and Wiener sausage. II. Zbl 0732.60089Sznitman, Alain-Sol 3 1990 Lifschitz tail and Wiener sausage on hyperbolic space. Zbl 0696.60079Sznitman, Alain-Sol 12 1989 A limiting result for the structure of collisions between many independent diffusions. Zbl 0659.60130Sznitman, Alain Sol 4 1989 Singularité de Lifschitz et saucisse de Wiener sur l’espace hyperbolique. (Lifschitz tail and Wiener sausage on hyperbolic space). Zbl 0655.60065Sznitman, Alain-Sol 3 1988 A trajectorial representation for certain nonlinear equations. Zbl 0694.60097Sznitman, Alain-Sol 1 1988 Propagation of chaos for a system of annihilating Brownian spheres. Zbl 0669.60094Sznitman, A. S. 14 1987 Some bounds and limiting results for the measure of Wiener sausage of small radius associated with elliptic diffusions. Zbl 0628.60080Sznitman, A. S. 10 1987 Some connections between excursion theory and the discrete Schrödinger equation with random potentials. Zbl 0592.60046March, Peter; Sznitman, Alain-Sol 9 1987 A propagation of chaos result of Burgers’ equation. Zbl 0648.60105Sznitman, A. S. 2 1987 A propagation of chaos result for Burgers’ equation. Zbl 0597.60055Sznitman, A. S. 17 1986 A multidimensional process involving local time. Zbl 0613.60050Sznitman, A. S.; Varadhan, S. R. S. 8 1986 A fluctuation result for nonlinear diffusions. Zbl 0578.60096Sznitman, A. S. 5 1985 Stochastic differential equations with reflecting boundary conditions. Zbl 0598.60060Lions, Pierre-Louis; Sznitman, A. S. 301 1984 Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated. Zbl 0547.60080Sznitman, Alain-Sol 69 1984 Équations de type de Boltzmann, spatialement homogènes. Zbl 0553.60069Sznitman, Alain-Sol 58 1984 Martingales dépendant d’un paramètre: Une formule d’Itô. Zbl 0468.60055Sznitman, Alain-Sol 11 1982 Equations de type Boltzmann, spatialement homogenes. Zbl 0514.60083Sznitman, Alain-Sol 3 1982 Construction de processus de diffusion reflechis par penalisation du domaine. Zbl 0468.60073Lions, Pierre-Louis; Menaldi, Jose-Luis; Sznitman, Alain-Sol 10 1981 Martingales dependant d’un paramètre: une formule d’Ito. Zbl 0478.60063Sznitman, Alain-Sol 2 1981 Perturbations pontuelles d’évolutions: Construction d’espaces stationnaires. Zbl 0465.60042Sznitman, Alain-Sol 3 1980 all cited Publications top 5 cited Publications all top 5 Cited by 1,339 Authors 43 Sznitman, Alain-Sol 17 Popov, Serguei Yu. 17 Teixeira, Augusto Quadros 16 Zeitouni, Ofer 15 Comets, Francis M. 14 König, Wolfgang Dieter 14 Ramírez, Alejandro F. 13 Fukushima, Ryoki 12 Burdzy, Krzysztof 12 Chen, Zhen-Qing 12 Drewitz, Alexander 11 Fribergh, Alexander 11 Graham, Carl 11 Möhle, Martin 11 Sabot, Christophe 11 Sidoravicius, Vladas 10 Ben Arous, Gérard 10 Berger, Noam 10 Biskup, Marek 10 Méléard, Sylvie 9 Budhiraja, Amarjit S. 9 Deuschel, Jean-Dominique 9 Kumagai, Takashi 9 Panchenko, Dmitry 9 Pietruska-Pałuba, Katarzyna 9 Rascanu, Aurel 9 Słomiński, Leszek 9 Yilmaz, Atilla 8 Bossy, Mireille 8 Ding, Jian 8 Gantert, Nina 8 Zerner, Martin P. W. 7 Arguin, Louis-Pierre 7 Bolthausen, Erwin 7 Hammond, Alan 7 Jourdain, Benjamin 7 Liang, Zongxia 7 Maticiuc, Lucian 7 Mischler, Stéphane 7 Mourrat, Jean-Christophe 7 Rodriguez, Pierre-François 7 Schapira, Bruno 7 Sun, Rongfeng 6 Andres, Sebastian 6 Asselah, Amine 6 Atar, Rami 6 Barlow, Martin T. 6 Berestycki, Nathanaël 6 Černý, Jiří 6 Chen, Xia 6 Del Moral, Pierre 6 Fournier, Nicolas G. 6 Ghosh, Mrinal Kanti 6 Hilário, Marcelo Richard 6 Kaleta, Kamil 6 Kosygina, Elena 6 Li, Juan 6 Mathieu, Pierre 6 Procaccia, Eviatar Ben 6 Rassoul-Agha, Firas 6 Rotenstein, Eduard-Paul 6 Siri-Jegousse, Arno 6 Taksar, Michael I. 6 Thomann, Enrique A. 6 van der Hofstad, Remco W. 6 Varadhan, S. R. Srinivasa 6 Waymire, Edward C. 6 Zhang, Tusheng S. 5 Barles, Guy 5 Berestycki, Julien 5 Bowditch, Adam 5 den Hollander, Frank 5 Gloria, Antoine 5 Guo, Xiaoqin 5 Holmes, Mark P. 5 Iksanov, Aleksander M. 5 Ioffe, Dmitry 5 Kious, Daniel 5 Kulik, Alexey M. 5 Le Jan, Yves 5 Neukamm, Stefan 5 Nitzschner, Maximilian 5 Pradhan, Somnath 5 Rezakhanlou, Fraydoun 5 Sapozhnikov, Artëm 5 Seppäläinen, Timo 5 Talay, Denis 5 Tang, Shanjian 5 Touboul, Jonathan David 5 van den Berg, Michiel 5 Wagner, Wolfgang 5 Williams, Ruth J. 5 Windisch, David 5 Wu, Ruoyu 5 Xu, Changji 4 Abächerli, Angelo 4 Aida, Shigeki 4 Athreya, Siva R. 4 Bo, Lijun 4 Boivin, Daniel ...and 1,239 more Authors all top 5 Cited in 199 Serials 133 Probability Theory and Related Fields 123 Stochastic Processes and their Applications 118 The Annals of Probability 72 The Annals of Applied Probability 70 Journal of Statistical Physics 55 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 39 Communications in Mathematical Physics 27 Electronic Journal of Probability 23 Journal of Functional Analysis 23 Journal of Theoretical Probability 19 Journal of Mathematical Analysis and Applications 16 Communications on Pure and Applied Mathematics 15 Stochastic Analysis and Applications 15 Electronic Communications in Probability 14 Journal of Differential Equations 13 Advances in Applied Probability 13 Applied Mathematics and Optimization 12 Journal of Applied Probability 12 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 12 ALEA. Latin American Journal of Probability and Mathematical Statistics 10 Transactions of the American Mathematical Society 10 Statistics & Probability Letters 10 Bernoulli 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Insurance Mathematics & Economics 8 Communications in Partial Differential Equations 8 Potential Analysis 7 Inventiones Mathematicae 7 Stochastics and Dynamics 7 Stochastics 6 Journal of Mathematical Physics 6 Proceedings of the American Mathematical Society 6 Queueing Systems 6 Stochastics and Stochastics Reports 5 Archive for Rational Mechanics and Analysis 5 Journal of Computational Physics 5 Duke Mathematical Journal 5 Theoretical Population Biology 5 Acta Applicandae Mathematicae 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of the European Mathematical Society (JEMS) 5 Frontiers of Mathematics in China 5 Modern Stochastics. Theory and Applications 4 Proceedings of the Japan Academy. Series A 4 SIAM Journal on Control and Optimization 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 SIAM Journal on Mathematical Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 Mathematical Physics, Analysis and Geometry 4 Annales Henri Poincaré 4 Brazilian Journal of Probability and Statistics 4 Stochastic Models 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 Computers & Mathematics with Applications 3 Journal of Fluid Mechanics 3 Journal of Mathematical Biology 3 Lithuanian Mathematical Journal 3 Bulletin of Mathematical Biology 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Journal of the Mathematical Society of Japan 3 Mathematics and Computers in Simulation 3 Mathematische Zeitschrift 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Random Operators and Stochastic Equations 3 Discrete and Continuous Dynamical Systems 3 Quantitative Finance 3 Kinetic and Related Models 3 Science China. Mathematics 3 International Journal of Stochastic Analysis 3 Mathematical Control and Related Fields 2 International Journal of Control 2 Journal d’Analyse Mathématique 2 Stochastics 2 Transport Theory and Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Reviews in Mathematical Physics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Mathematische Nachrichten 2 Advances in Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 Asymptotic Analysis 2 Journal of Scientific Computing 2 Random Structures & Algorithms 2 Geometric and Functional Analysis. GAFA 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Bulletin des Sciences Mathématiques 2 Chaos 2 Communications in Contemporary Mathematics 2 Methodology and Computing in Applied Probability 2 Nonlinear Analysis. Real World Applications 2 Multiscale Modeling & Simulation 2 Journal of Statistical Mechanics: Theory and Experiment ...and 99 more Serials all top 5 Cited in 44 Fields 1,070 Probability theory and stochastic processes (60-XX) 410 Statistical mechanics, structure of matter (82-XX) 248 Partial differential equations (35-XX) 79 Numerical analysis (65-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 65 Fluid mechanics (76-XX) 63 Biology and other natural sciences (92-XX) 61 Systems theory; control (93-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 49 Combinatorics (05-XX) 42 Operator theory (47-XX) 32 Ordinary differential equations (34-XX) 32 Statistics (62-XX) 31 Dynamical systems and ergodic theory (37-XX) 28 Quantum theory (81-XX) 28 Operations research, mathematical programming (90-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Potential theory (31-XX) 12 Computer science (68-XX) 9 Measure and integration (28-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of particles and systems (70-XX) 7 Mechanics of deformable solids (74-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 3 General topology (54-XX) 3 Optics, electromagnetic theory (78-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-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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