Estimates of random walk exit probabilities and application to loop-erased random walk

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dc.creatorKozdron, Michael J.
dc.creatorLawler, Gregory F.
dc.date2005-01-12
dc.date.accessioned2026-07-07T13:14:43Z
dc.date.available2026-07-07T13:14:43Z
dc.descriptionWe prove an estimate for the probability that a simple random walk in a simply connected subset A of Z^2 starting on the boundary exits A at another specified boundary point. The estimates are uniform over all domains of a given inradius. We apply these estimates to prove a conjecture of S. Fomin in 2001 concerning a relationship between crossing probabilities of loop-erased random walk and Brownian motion.
dc.description26 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math/0501189
dc.identifierhttp://arxiv.org/abs/math/0501189
dc.identifierElectron. J. Probab., volume 10, paper 44, pages 1442-1467, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230263
dc.subjectProbability
dc.subject60F99 (Primary), 60G50, 60J45, 60J65 (Secondary)
dc.titleEstimates of random walk exit probabilities and application to loop-erased random walk
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