@article{8517,
  abstract     = {We consider the evolution of a connected set on the plane carried by a space periodic incompressible stochastic flow. While for almost every realization of the stochastic flow at time t most of the particles are at a distance of order equation image away from the origin, there is a measure zero set of points that 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 nonrandom shape.},
  author       = {Dolgopyat, Dmitry and Kaloshin, Vadim and Koralov, Leonid},
  issn         = {0010-3640},
  journal      = {Communications on Pure and Applied Mathematics},
  keywords     = {Applied Mathematics, General Mathematics},
  number       = {9},
  pages        = {1127--1158},
  publisher    = {Wiley},
  title        = {{A limit shape theorem for periodic stochastic dispersion}},
  doi          = {10.1002/cpa.20032},
  volume       = {57},
  year         = {2004},
}