Range of random walks on free products

Lorenz A. Gilch

Stochastic Processes and their Applications, 2022, vol. 149, issue C, 369-403

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: Random walk; Range; Free product; Central limit theorem; Analyticity (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spa.2022.03.002

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