---
_id: '8517'
abstract:
- lang: eng
  text: 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.
article_processing_charge: No
article_type: original
author:
- first_name: Dmitry
  full_name: Dolgopyat, Dmitry
  last_name: Dolgopyat
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Leonid
  full_name: Koralov, Leonid
  last_name: Koralov
citation:
  ama: Dolgopyat D, Kaloshin V, Koralov L. A limit shape theorem for periodic stochastic
    dispersion. <i>Communications on Pure and Applied Mathematics</i>. 2004;57(9):1127-1158.
    doi:<a href="https://doi.org/10.1002/cpa.20032">10.1002/cpa.20032</a>
  apa: Dolgopyat, D., Kaloshin, V., &#38; Koralov, L. (2004). A limit shape theorem
    for periodic stochastic dispersion. <i>Communications on Pure and Applied Mathematics</i>.
    Wiley. <a href="https://doi.org/10.1002/cpa.20032">https://doi.org/10.1002/cpa.20032</a>
  chicago: Dolgopyat, Dmitry, Vadim Kaloshin, and Leonid Koralov. “A Limit Shape Theorem
    for Periodic Stochastic Dispersion.” <i>Communications on Pure and Applied Mathematics</i>.
    Wiley, 2004. <a href="https://doi.org/10.1002/cpa.20032">https://doi.org/10.1002/cpa.20032</a>.
  ieee: D. Dolgopyat, V. Kaloshin, and L. Koralov, “A limit shape theorem for periodic
    stochastic dispersion,” <i>Communications on Pure and Applied Mathematics</i>,
    vol. 57, no. 9. Wiley, pp. 1127–1158, 2004.
  ista: Dolgopyat D, Kaloshin V, Koralov L. 2004. A limit shape theorem for periodic
    stochastic dispersion. Communications on Pure and Applied Mathematics. 57(9),
    1127–1158.
  mla: Dolgopyat, Dmitry, et al. “A Limit Shape Theorem for Periodic Stochastic Dispersion.”
    <i>Communications on Pure and Applied Mathematics</i>, vol. 57, no. 9, Wiley,
    2004, pp. 1127–58, doi:<a href="https://doi.org/10.1002/cpa.20032">10.1002/cpa.20032</a>.
  short: D. Dolgopyat, V. Kaloshin, L. Koralov, Communications on Pure and Applied
    Mathematics 57 (2004) 1127–1158.
date_created: 2020-09-18T10:49:12Z
date_published: 2004-09-01T00:00:00Z
date_updated: 2021-01-12T08:19:50Z
day: '01'
doi: 10.1002/cpa.20032
extern: '1'
intvolume: '        57'
issue: '9'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
month: '09'
oa_version: None
page: 1127-1158
publication: Communications on Pure and Applied Mathematics
publication_identifier:
  issn:
  - 0010-3640
  - 1097-0312
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A limit shape theorem for periodic stochastic dispersion
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2004'
...