Law of large numbers for non-elliptic random walks in dynamic random environments

DOI10.1016/J.SPA.2012.09.002zbMath1285.60096arXiv1103.2805OpenAlexW2169960177MaRDI QIDQ1761490

W. Th. F. den Hollander, Renato Soares dos Santos, Vladas Sidoravićius

Publication date: 15 November 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2805

zbMATH Keywords

law of large numbersrandom walkregenerationdynamic random environmentnon-ellipticconditional cone-mixing

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

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Analysis of random walks in dynamic random environments via \(L^2\)-perturbations ⋮ Fluctuations of the front in a one-dimensional model for the spread of an infection ⋮ Random walk on random walks: low densities ⋮ Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster ⋮ Random walks on dynamical percolation: mixing times, mean squared displacement and hitting times ⋮ Random walk in a high density dynamic random environment ⋮ Random walk on random walks: higher dimensions ⋮ Random walk on a perturbation of the infinitely-fast mixing interchange process

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