A limit shape theorem for periodic stochastic dispersion

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dc.creatorDolgopyat, Dmitry
dc.creatorKaloshin, Vadim
dc.creatorKoralov, Leonid
dc.date2002-05-03
dc.date.accessioned2026-07-07T04:48:15Z
dc.date.available2026-07-07T04:48:15Z
dc.descriptionWe consider the evolution of a connected set on the plane carried by a periodic incompressible stochastic flow. While for almost every realization of the random flow at time t most of the particles are at a distance of order sqrt{t} away from the origin, there is a measure zero set of points, which escape to infinity at the linear rate. We study the set of points visited by the original set by time t, and show that such a set, when scaled down by the factor of t, has a limiting non random shape.
dc.description22 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0205033
dc.identifierhttp://arxiv.org/abs/math/0205033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63974
dc.subjectProbability
dc.subjectDynamical Systems
dc.titleA limit shape theorem for periodic stochastic dispersion
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