A special set of exceptional times for dynamical random walk on $\Z^2$

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dc.creatorAmir, Gideon
dc.creatorHoffman, Christopher
dc.date2006-09-10
dc.date2006-09-17
dc.date.accessioned2026-07-07T07:24:42Z
dc.date.available2026-07-07T07:24:42Z
dc.descriptionBenjamini,Haggstrom, Peres and Steif introduced the model of dynamical random walk on Z^d. This is a continuum of random walks indexed by a parameter t. They proved that for d=3,4 there almost surely exist t such that the random walk at time t visits the origin infinitely often, but for d > 4 there almost surely do not exist such t. Hoffman showed that for d=2 there almost surely exists t such that the random walk at time t visits the origin only finitely many times. We refine the results of Hoffman for dynamical random walk on Z^2, showing that with probability one there are times when the origin is visited only a finite number of times while other points are visited infinitely often.
dc.description29 pages (v2: Typographical fixes in abstract)
dc.identifierhttps://arxiv.org/abs/math/0609267
dc.identifierhttp://arxiv.org/abs/math/0609267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116458
dc.subjectProbability
dc.subject60K35 82B43
dc.titleA special set of exceptional times for dynamical random walk on $\Z^2$
dc.typetext

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