The limiting distribution of the mutual winding angles of particles in a Brownian stochastic flow with Lyapunov's zero top exponent

TitleThe limiting distribution of the mutual winding angles of particles in a Brownian stochastic flow with Lyapunov's zero top exponent
Publication TypeJournal Article
Year of Publication2016
AuthorsKuznetsov, VA
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2016.09.014
Issue9
SectionMathematics
Pagination14-22
Date Published9/2016
LanguageRussian
Abstract

The investigation of geometrical properties of particles moving in stochastic flows leads to the study of the limiting behaviour of their mutual winding angles. This problem is solved for isotropic Brownian stochastic flows with zero top Lyapunov exponent.

KeywordsBrownian stochastic flows, Lyapunov exponents, windings
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