Parabolic Harnack Inequality and Local Limit Theorem for Percolation Clusters

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dc.creatorBarlow, Martin
dc.creatorHambly, Ben
dc.date2008-10-14
dc.date.accessioned2026-07-07T10:09:57Z
dc.date.available2026-07-07T10:09:57Z
dc.descriptionWe consider the random walk on supercritical percolation clusters in the d-dimensional Euclidean lattice. Previous papers have obtained Gaussian heat kernel bounds, and a.s. invariance principles for this process. We show how this information leads to a parabolic Harnack inequality, a local limit theorem and estimates on the Green's function.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0810.2467
dc.identifierhttp://arxiv.org/abs/0810.2467
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171480
dc.subjectProbability
dc.subjectAnalysis of PDEs
dc.subject60G50; 31C25
dc.titleParabolic Harnack Inequality and Local Limit Theorem for Percolation Clusters
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