{"oa_version":"None","date_updated":"2021-01-12T08:19:50Z","volume":57,"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."}],"date_created":"2020-09-18T10:49:12Z","status":"public","author":[{"last_name":"Dolgopyat","first_name":"Dmitry","full_name":"Dolgopyat, Dmitry"},{"last_name":"Kaloshin","orcid":"0000-0002-6051-2628","first_name":"Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","full_name":"Kaloshin, Vadim"},{"first_name":"Leonid","last_name":"Koralov","full_name":"Koralov, Leonid"}],"issue":"9","publication_status":"published","language":[{"iso":"eng"}],"publication":"Communications on Pure and Applied Mathematics","_id":"8517","doi":"10.1002/cpa.20032","article_type":"original","type":"journal_article","page":"1127-1158","intvolume":"        57","citation":{"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.","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.","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>","short":"D. Dolgopyat, V. Kaloshin, L. Koralov, Communications on Pure and Applied Mathematics 57 (2004) 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>."},"date_published":"2004-09-01T00:00:00Z","extern":"1","title":"A limit shape theorem for periodic stochastic dispersion","keyword":["Applied Mathematics","General Mathematics"],"quality_controlled":"1","day":"01","publisher":"Wiley","publication_identifier":{"issn":["0010-3640","1097-0312"]},"month":"09","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2004","article_processing_charge":"No"}