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We consider a stochastic flow driven by a finite-dimensional Brownian
motion. We show that almost every realization of such a flow exhibits strong
statistical properties such as th...
Multiplicative white noise functionals and the Krylov-Veretennikov expansion for coalescing stochastic flows
Krylov-Veretennikov expansion coalescing stochastic flows Probability
2011/9/20
Abstract: In this article we consider multiplicative operator-valued white noise functionals related to a stochastic flow. A generalization of the Krylov-Veretennikov expansion is presented. An analog...
Evolution systems of measures for stochastic flows
Evolution systems measures stochastic flows
2010/11/12
A new concept of {\em an evolution system of measures for stochastic flows} is considered. It corresponds to the notion of an invariant measure for random dynamical systems (or cocycles). The existen...