English

Some old and basic facts about random walks on groups

Probability 2026-02-03 v2

Abstract

This note contains old instead of new results about random walks on groups, which may serve as a small supplement to the author's monograph ``Random Walks on Infinite Graphs and Groups'' (Cambridge Univ. Press 2000/2009). First, we exhibit a basic exercise on the periodicity classes of random walk. The second topic concerns some basics on ratio limits for random walks, which had been published ``only'' in German in the 1970ies.

Keywords

Cite

@article{arxiv.2209.00319,
  title  = {Some old and basic facts about random walks on groups},
  author = {Wolfgang Woess},
  journal= {arXiv preprint arXiv:2209.00319},
  year   = {2026}
}

Comments

Not intended for journal publication

R2 v1 2026-06-28T00:33:06.250Z