---
res:
bibo_abstract:
- "We consider the evolution of a set carried by a space periodic incompressible
stochastic flow in a Euclidean space. We\r\nreport on three main results obtained
in [8, 9, 10] concerning long time behaviour for a typical realization of the
stochastic flow. First, at time t most of the particles are at a distance of order
√t away from the origin. Moreover, we prove a Central Limit Theorem for the evolution
of a measure carried by the flow, which holds for almost every realization of
the flow. Second, we show the existence of a zero measure full Hausdorff dimension
set of points, which\r\nescape to infinity at a linear rate. Third, in the 2-dimensional
case, we study the set of points visited by the original set by time t. Such a
set, when scaled down by the factor of t, has a limiting non random shape.@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Vadim
foaf_name: Kaloshin, Vadim
foaf_surname: Kaloshin
foaf_workInfoHomepage: http://www.librecat.org/personId=FE553552-CDE8-11E9-B324-C0EBE5697425
orcid: 0000-0002-6051-2628
- foaf_Person:
foaf_givenName: D.
foaf_name: DOLGOPYAT, D.
foaf_surname: DOLGOPYAT
- foaf_Person:
foaf_givenName: L.
foaf_name: KORALOV, L.
foaf_surname: KORALOV
bibo_doi: 10.1142/9789812704016_0026
dct_date: 2006^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/9789812562012
- http://id.crossref.org/issn/9789812704016
dct_language: eng
dct_publisher: World Scientific@
dct_title: Long time behaviour of periodic stochastic flows@
...