Hausdorff dimension in 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 in Euclidean space 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 [DKK1], there is an uncountable set of measure zero of points, which escape to infinity at the linear rate [CSS1]. In this paper we prove that this set of linear escape points has full Hausdorff dimension.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0205032
dc.identifierhttp://arxiv.org/abs/math/0205032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63973
dc.subjectProbability
dc.subjectDynamical Systems
dc.titleHausdorff dimension in stochastic dispersion
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