| Abstract: |
| We will discuss several asymptotic problems for randomly perturbed flows. One class of flows (with
regions where a strong flow creates a trapping mechanism) leads to a new class of boundary value problems with
non-standard boundary conditions. We will also discuss how large-deviation techniques can be used
to study the asymptotic behavior of solutions to quasi-linear parabolic equations with a small parameter at the
second order term and the long time behavior of the corresponding diffusion processes. |
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