Law of the Iterated Logarithm for the random walk on the infinite percolation cluster

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dc.creatorDuminil-Copin, H.
dc.date2008-09-25
dc.date.accessioned2026-07-07T10:05:16Z
dc.date.available2026-07-07T10:05:16Z
dc.descriptionWe show that random walks on the infinite supercritical percolation clusters in Z^d satisfy the usual Law of the Iterated Logarithm. The proof combines Barlow's Gaussian heat kernel estimates and the ergodicity of the random walk on the environment viewed from the random walker as derived by Berger and Biskup.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0809.4380
dc.identifierhttp://arxiv.org/abs/0809.4380
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169962
dc.subjectProbability
dc.subject60D05
dc.titleLaw of the Iterated Logarithm for the random walk on the infinite percolation cluster
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