17 citations · 73 across the 34 of their papers we have counts for
40 papers
A Criterion for Convergence of Diffusion Processes on Graphs
Leonid Koralov, Xiangyi Tao
In this paper, we consider diffusion processes on a graph. On the -th edge, each process is governed by an operator of the form , and the behavior at the verti…
Limiting Behavior of Randomly Perturbed Diffusions with Invariant Repelling Surfaces
Leonid Koralov, Chenglin Liu
We study small perturbations of diffusion processes in that leave invariant a finite collection of hypersurfaces. Each surface is assumed to be repelling for the unp…
Distribution of particles near the front in supercritical branching Brownian motion with compactly supported branching
Pratima Hebbar, Leonid Koralov
We investigate the long-time behavior of a dimensional supercritical branching Brownian motion with a compactly supported branching potential. It is known that, for $\mathbf{v}…
Spectral properties of operators and wave propagation in high-contrast media
Yuri A. Godin, Leonid Koralov, Boris Vainberg
The paper aims to study the spectral properties of elliptic operators with highly inhomogeneous coefficients and related issues concerning wave propagation in high-contrast media.…
Metastable Distributions of Semi-Markov Processes
Leonid Koralov, Ishfaaq Mohammed Imtiyas
In this paper, we consider semi-Markov processes whose transition times and transition probabilities depend on a small parameter . Understanding the asymptotic behavio…
Metastability in Parabolic Equations and Diffusion Processes with a Small Parameter
Mark Freidlin, Leonid Koralov
We study diffusion processes in that leave invariant a finite collection of manifolds (surfaces or points) in and small perturbations of such processe…