2020/09/09 by Lorenz A. Gilch, Gilch, Lorenz A.
Mathematics · #Stochastic processes and statistical mechanics #advanced mathematical theories #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2009.04520
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.