The Beurling estimate for a class of random walks

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dc.creatorLawler, Gregory F.
dc.creatorLimic, Vlada
dc.date2004-03-18
dc.date.accessioned2026-07-07T05:06:32Z
dc.date.available2026-07-07T05:06:32Z
dc.descriptionAn estimate of Beurling states that if K is a curve from 0 to the unit circle in the complex plane, then the probability that a Brownian motion starting at -eps reaches the unit circle without hitting the curve is bounded above by c eps^{1/2}. This estimate is very useful in analysis of boundary behavior of conformal maps, especially for connected but rough boundaries. The corresponding estimate for simple random walk was first proved by Kesten. In this note we extend this estimate to random walks with zero mean, and finite (3+delta) moment.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0403309
dc.identifierhttp://arxiv.org/abs/math/0403309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70506
dc.subjectProbability
dc.subject60G50;60F99
dc.titleThe Beurling estimate for a class of random walks
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