Brownian asymptotics in a Poissonian environment

DOI10.1007/BF01192268zbMath0792.60100OpenAlexW2031930513MaRDI QIDQ1326318

Alain-Sol Sznitman

Publication date: 14 July 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192268

zbMATH Keywords

Brownian motionrandom potentialFeynman-Kac functionalpoints of a Poisson cloud

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items

Brownian motion in a Poissonian potential, Almost sure behaviour of the perturbed Brownian motion on the Sierpiński gasket, Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket, Stationary parabolic Anderson model and intermittency, Capacity and principal eigenvalues: The method of enlargement of obstacles revisited, Brownian confinement and pinning in a Poissonian potential. I, Annealed Lyapounov exponents and large deviations in a poissonian potential. II, Localization for random walks among random obstacles in a single Euclidean ball, Branching Brownian motion in an expanding ball and application to the mild obstacle problem, Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments, Quenched asymptotics for Brownian motion of renormalized Poisson potential and for the related parabolic Anderson models, Around thestochastic burgers equation, The mild and weak solutions of a stochastic parabolic Anderson equation, Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles, Mild solution to parabolic Anderson model in Gaussian and Poisson potential, The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials, Poly-logarithmic localization for random walks among random obstacles, Quenched tail estimate for the random walk in random scenery and in random layered conductance. II., Quenched asymptotics for symmetric Lévy processes interacting with Poissonian fields

Cites Work

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