English

Strong ratio limit theorems associated with random walks

Probability 2015-11-10 v1

Abstract

Strong ratio limit theorems associated with a broad class of spread out random walks on unimodular groups were proved in the preceding paper, where these random walks were assumed to have the convergence parameter R=1R=1. In the present paper, we study the case of an arbitrary R1R\ge1 and clarify the role of the condition that the group is unimodular.

Keywords

Cite

@article{arxiv.1511.02811,
  title  = {Strong ratio limit theorems associated with random walks},
  author = {M. G. Shur},
  journal= {arXiv preprint arXiv:1511.02811},
  year   = {2015}
}
R2 v1 2026-06-22T11:40:48.153Z