English

Local time of random walks on graphs

Mathematical Physics 2021-10-06 v2 math.MP

Abstract

We investigate the local (or occupation) time of a discrete-time random walk on a generic graph, and present a general method for calculating sample-path averages of local time functionals in terms of the resolvent of the transition matrix.

Keywords

Cite

@article{arxiv.2012.15399,
  title  = {Local time of random walks on graphs},
  author = {Vaclav Zatloukal},
  journal= {arXiv preprint arXiv:2012.15399},
  year   = {2021}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-23T21:37:25.135Z