Limit velocity and zero--one laws for diffusions in random environment

dc.creatorGoergen, Laurent
dc.date2005-12-02
dc.date2006-10-05
dc.date.accessioned2026-07-07T06:54:48Z
dc.date.available2026-07-07T06:54:48Z
dc.descriptionWe prove that multidimensional diffusions in random environment have a limiting velocity which takes at most two different values. Further, in the two-dimensional case we show that for any direction, the probability to escape to infinity in this direction equals either zero or one. Combined with our results on the limiting velocity, this implies a strong law of large numbers in two dimensions.
dc.descriptionPublished at http://dx.doi.org/10.1214/105051606000000051 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0512061
dc.identifierhttp://arxiv.org/abs/math/0512061
dc.identifierAnnals of Applied Probability 2006, Vol. 16, No. 3, 1086-1123
dc.identifierdoi:10.1214/105051606000000051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106071
dc.subjectProbability
dc.subject60K37, 82D30 (Primary)
dc.titleLimit velocity and zero--one laws for diffusions in random environment
dc.typetext

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