1 citations · 1 across the 3 of their papers we have counts for
4 papers
Asymptotics for the almost sure Lyapunov Exponent for the solution of the parabolic Anderson problem
R. Carmona, L. Koralov, S. Molchanov
We find the asymptotics for the almost sure Lyapunov exponent for the solution of the parabolic Anderson problem as the molecular diffusivity tends to zero.
A limit shape theorem for periodic stochastic dispersion
Dmitry Dolgopyat, Vadim Kaloshin, Leonid Koralov
We consider the evolution of a connected set on the plane carried by a periodic incompressible stochastic flow. While for almost every realization of the random flow at time t most…
Hausdorff dimension in stochastic dispersion
Dmitry Dolgopyat, Vadim Kaloshin, Leonid Koralov
We consider the evolution of a connected set in Euclidean space carried by a periodic incompressible stochastic flow. While for almost every realization of the random flow at time…
Sample path properties of the stochastic flows
Dmitry Dolgopyat, Vadim Kaloshin, Leonid Koralov
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…