A quenched invariance principle for certain ballistic random walks in i.i.d. environments

dc.creatorBerger, Noam
dc.creatorZeitouni, Ofer
dc.date2007-02-11
dc.date2008-01-05
dc.date.accessioned2026-07-07T08:52:26Z
dc.date.available2026-07-07T08:52:26Z
dc.descriptionWe prove that every random walk in i.i.d. environment in dimension greater than or equal to 2 that has an almost sure positive speed in a certain direction, an annealed invariance principle and some mild integrability condition for regeneration times also satisfies a quenched invariance principle. The argument is based on intersection estimates and a theorem of Bolthausen and Sznitman.
dc.descriptionThis version includes an extension of the results to cover also dimensions 2,3, and also corrects several minor innacuracies. The previous version included a correction of a minor error in (3.21) (used for d=4); The correction pushed the assumption on moments of regeneration times to >8
dc.identifierhttps://arxiv.org/abs/math/0702306
dc.identifierhttp://arxiv.org/abs/math/0702306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145280
dc.subjectProbability
dc.subject60K37
dc.titleA quenched invariance principle for certain ballistic random walks in i.i.d. environments
dc.typetext

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