English

On Gumbel limit for the length of reactive paths

Probability 2013-12-09 v1

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.

Keywords

Cite

@article{arxiv.1312.1939,
  title  = {On Gumbel limit for the length of reactive paths},
  author = {Yuri Bakhtin},
  journal= {arXiv preprint arXiv:1312.1939},
  year   = {2013}
}

Comments

12 pages