[{"oa_version":"None","intvolume":" 57","status":"public","_id":"8517","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"9","abstract":[{"lang":"eng"}],"type":"journal_article","date_published":"2004-09-01T00:00:00Z","page":"1127-1158","article_type":"original","citation":{"mla":"Dolgopyat, Dmitry, et al. “A Limit Shape Theorem for Periodic Stochastic Dispersion.” Communications on Pure and Applied Mathematics, vol. 57, no. 9, Wiley, 2004, pp. 1127–58, doi:10.1002/cpa.20032.","short":"D. Dolgopyat, V. Kaloshin, L. Koralov, Communications on Pure and Applied Mathematics 57 (2004) 1127–1158.","chicago":"Dolgopyat, Dmitry, Vadim Kaloshin, and Leonid Koralov. “A Limit Shape Theorem for Periodic Stochastic Dispersion.” Communications on Pure and Applied Mathematics. Wiley, 2004. https://doi.org/10.1002/cpa.20032.","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., & Koralov, L. (2004). A limit shape theorem for periodic stochastic dispersion. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.20032","ieee":"D. Dolgopyat, V. Kaloshin, and L. Koralov, “A limit shape theorem for periodic stochastic dispersion,” Communications on Pure and Applied Mathematics, vol. 57, no. 9. Wiley, pp. 1127–1158, 2004."},"publication":"Communications on Pure and Applied Mathematics","uri_base":"https://research-explorer.ista.ac.at","article_processing_charge":"No","day":"01","keyword":[],"dc":{"creator":["Dolgopyat, Dmitry","Kaloshin, Vadim","Koralov, Leonid"],"description":["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."],"identifier":["https://research-explorer.ista.ac.at/record/8517"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"language":["eng"],"date":["2004"],"publisher":["Wiley"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1002/cpa.20032","info:eu-repo/semantics/altIdentifier/issn/0010-3640","info:eu-repo/semantics/altIdentifier/issn/1097-0312"],"subject":["Applied Mathematics","General Mathematics"],"title":["A limit shape theorem for periodic stochastic dispersion"],"rights":["info:eu-repo/semantics/closedAccess"],"source":["Dolgopyat D, Kaloshin V, Koralov L. A limit shape theorem for periodic stochastic dispersion. Communications on Pure and Applied Mathematics. 2004;57(9):1127-1158. doi:10.1002/cpa.20032"]},"volume":57,"date_created":"2020-09-18T10:49:12Z","dini_type":"doc-type:article","date_updated":"2021-01-12T08:19:50Z","author":[{"last_name":"Dolgopyat","first_name":"Dmitry"},{"id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","first_name":"Vadim","last_name":"Kaloshin"},{"last_name":"Koralov","first_name":"Leonid"}],"publication_status":"published","extern":"1","creator":{"id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","login":"dernst"},"language":[{}],"quality_controlled":"1","publication_identifier":{"issn":[]},"month":"09"}]