English

Random walk with barriers on a graph

Probability 2023-07-26 v2 Statistical Mechanics Mathematical Physics math.MP

Abstract

We obtain expected number of arrivals, absorption probabilities and expected time until absorption for an asymmetric discrete random walk on a graph in the presence of multiple function barriers. On each edge of the graph and in each vertex (barrier) specific probabilities are defined.

Keywords

Cite

@article{arxiv.0811.3682,
  title  = {Random walk with barriers on a graph},
  author = {Theo van Uem},
  journal= {arXiv preprint arXiv:0811.3682},
  year   = {2023}
}

Comments

Accepted for publication by North-Western European Journal of Mathematics; Number 7 -2021, p 67-79

R2 v1 2026-06-21T11:44:18.837Z