A limit shape theorem for periodic stochastic dispersion

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
22 pages, 5 figures

Keywords

Probability, Dynamical Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/63974

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205033
 http://arxiv.org/abs/math/0205033

Collections

arXiv