Exponential asymptotics in the small parameter exit problem

Author:

Sugiura Makoto

Abstract

Let M be a d-dimensional Riemannian manifold of class C with Riemannian metric and let D be a connected domain in M having a non-empty smooth boundary and a compact closure . Suppose that are given and that converges uniformly to on D′ as for some neighborhood D′ of D. Consider the diffusion process on D′ with a small parameter generated by(1.1)

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. Metastable behaviors of diffusion processes with small parameter

2. Sugiura M. , Limit theorems related to the small parameter exit problems and the singularly perturbed Dirichlet problems, preprint, 1994.

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