English

Large deviations for random walks on free products of finitely generated groups

Probability 2021-10-26 v4 Group Theory

Abstract

We prove existence of the large deviation principle, with a proper convex rate function, for the distribution of the renormalized distance from the origin of a random walk on a free product of finitely generated groups. As a consequence, we derive the same principle for nearest-neighbour random walks on regular trees.

Keywords

Cite

@article{arxiv.2004.02291,
  title  = {Large deviations for random walks on free products of finitely generated groups},
  author = {Emilio Corso},
  journal= {arXiv preprint arXiv:2004.02291},
  year   = {2021}
}

Comments

21 pages, no figures