English

Exact expressions of mean first-passage times and splitting probabilities for random walks in bounded rectangular domains

Statistical Mechanics 2009-11-11 v1

Abstract

We give exact and explicit expressions of mean first-passage times for random walks in a rectangular domain, in both cases of reflecting boundary conditions and periodic boundary conditions. The situations with one or two absorbing targets are considered.

Keywords

Cite

@article{arxiv.cond-mat/0605128,
  title  = {Exact expressions of mean first-passage times and splitting probabilities for random walks in bounded rectangular domains},
  author = {S. Condamin and O. Benichou},
  journal= {arXiv preprint arXiv:cond-mat/0605128},
  year   = {2009}
}

Comments

To appear as a note in J. Chem. Phys