On Gumbel limit for the length of reactive paths

Abstract

We give a new proof of the vanishing noise limit theorem for exit times of 1-dimensional diffusions conditioned on exiting through a point separated from the starting point by a potential wall. We also prove a scaling limit for exit location in a model 2-dimensional situation.

12 pages

References in corpus (2)

• On the noise-induced passage through an unstable periodic orbit II: General case
• Gumbel distribution in exit problems