A law of large numbers for random walks in random mixing environments

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dc.creatorComets, Francis
dc.creatorZeitouni, Ofer
dc.date2002-05-28
dc.date.accessioned2026-07-07T04:48:46Z
dc.date.available2026-07-07T04:48:46Z
dc.descriptionWe prove a law of large numbers for a class of multidimensional random walks in random environments where the environment satisfies appropriate mixing conditions, which hold when the environment is a weak mixing field in the sense of Dobrushin and Shlosman. Our result holds if the mixing rate balances moments of some random times depending on the path. It applies in the non-nestling case, but we also provide examples of nestling walks that satisfy our assumptions. The derivation is based on an adaptation, using coupling, of the regeneration argument of Sznitman-Zerner.
dc.descriptionincludes 3 figures
dc.identifierhttps://arxiv.org/abs/math/0205296
dc.identifierhttp://arxiv.org/abs/math/0205296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64175
dc.subjectProbability
dc.subject60K40; 82D30
dc.titleA law of large numbers for random walks in random mixing environments
dc.typetext

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