6 citations · 12 across the 27 of their papers we have counts for
5 papers · 2 filters
On dynamical systems perturbed by a null-recurrent fast motion: The continuous coefficient case with independent driving noises
Zsolt Pajor-Gyulai, Michael Salins
An ordinary differential equation perturbed by a null-recurrent diffusion will be considered in the case where the averaging type perturbation is strong only when a fast motion is…
On a general approach to Freidlin-Wentzell exit problems for stochastic equations in Banach spaces
Michael Salins
Freidlin and Wentzell characterized the logarithmic asymptotics of the exit time from a basin of attraction for a finite dimensional diffusion with small noise. After that, several…
On the Smoluchowski-Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field
Sandra Cerrai, Michael Salins
We study the validity of the so-called Smoluchowski-Kramers approximation for a two dimensional system of stochastic partial differential equations, subject to a constant magnetic…
Smoluchowski-Kramers approximation and large deviations for infinite dimensional non-gradient systems with applications to the exit problem
Sandra Cerrai, Michael Salins
In this paper, we study the quasi-potential for a general class of damped semilinear stochastic wave equations. We show that, as the density of the mass converges to zero, the infi…
Smoluchowski-Kramers approximation and large deviations for infinite dimensional gradient systems
Sandra Cerrai, Michael Salins
In this paper, we explicitly calculate the quasi-potentials for the damped semilinear stochastic wave equation when the system is of gradient type. We show that in this case the in…