15 citations · 17 across the 2 of their papers we have counts for
4 papers
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…
On diffusions in media with pockets of large diffusivity
Mark Freidlin, Leonid Koralov, Alexander Wentzell
We consider diffusion processes in media with pockets of large diffusivity. The asymptotic behavior of such processes is described when the diffusion coefficients in the pockets te…
On the behavior of diffusion processes with traps
Mark Freidlin, Leonid Koralov, Alexander Wentzell
We consider processes that coincide with a given diffusion process outside a finite collection of domains. In each of the domains, there is, additionally, a large drift directed to…
Small mass asymptotic for the motion with vanishing friction
Mark Freidlin, Wenqing Hu, Alexander Wentzell
We consider the small mass asymptotic (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The friction coefficient is assumed to be…