Intersection exponents for biased random walks on discrete cylinders

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dc.creatorVermesi, Brigitta
dc.date2008-10-03
dc.date.accessioned2026-07-07T10:07:25Z
dc.date.available2026-07-07T10:07:25Z
dc.descriptionWe prove existence of intersection exponents xi(k,lambda) for biased random walks on d-dimensional half-infinite discrete cylinders, and show that, as functions of lambda, these exponents are real analytic. As part of the argument, we prove convergence to stationarity of a time-inhomogeneous Markov chain on half-infinite random paths. Furthermore, we show this convergence takes place at exponential rate, an estimate obtained via a coupling of weighted half-infinite paths.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0810.0572
dc.identifierhttp://arxiv.org/abs/0810.0572
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170630
dc.subjectProbability
dc.subject60G50; 60K35; 82B41
dc.titleIntersection exponents for biased random walks on discrete cylinders
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