33 citations · 133 across the 20 of their papers we have counts for
24 papers
Long Time Influence of Small Perturbations and Motion on the Simplex of Invariant Probability Measures
Mark Freidlin
A general approach to a broad class of asymptotic problems related to long-time influence of small perturbations, of both deterministic and stochastic type, is presented in the pap…
Diffusion approximation for noise-induced evolution of first integrals in multifrequency systems
M. I. Freidlin, A. D. Wentzell
We consider fast oscillating perturbations of dynamical systems in regions where one can introduce action-angle type coordinates. In an appropriate time scale, a diffusion approxim…
Averaging in the case of multiple invariant measures for the fast system
Mark Freidlin, Leonid Koralov
We consider the averaging principle for deterministic or stochastic systems with a fast stochastic component (family of continuous-time Markov chains depending on the state of the…
Diffusion in the presence of cells with semi-permeable membranes
Mark Freidlin, Leonid Koralov
We consider processes that coincide with a given diffusion process except on the boundaries of a finite collection of domains. The behavior on each of the boundaries is asymmetric:…
Boris R. Vainberg (on his 80th birthday)
Yuri Egorov, Alexander Komech, Peter Kuchment +5
Boris R. Vainberg was born on March 17, 1938, in Moscow. His father was a Lead Engineer in an aviation design institute. His mother was a homemaker. From early age, Boris was attra…
Front propagation for reaction-diffusion equations in composite structures
Mark Freidlin, Leonid Koralov
We consider asymptotic problems concerning the motion of interface separating the regions of large and small values of the solution of a reaction-diffusion equation in the media co…