Range of Random Walks on Free Products
Probability
2022-12-05 v5
Abstract
In this article we consider transient random walks on free products of graphs. We prove that the asymptotic range of these random walks exists and is strictly positive. In particular, we show that the range varies real-analytically in terms of probability measures of constant support. Moreover, we prove a central limit theorem associated with the range of the random walk.
Keywords
Cite
@article{arxiv.2009.04520,
title = {Range of Random Walks on Free Products},
author = {Lorenz A. Gilch},
journal= {arXiv preprint arXiv:2009.04520},
year = {2022}
}
Comments
38 pages, final version, updated definition of exit times