Asymptotic Capacity of the Range of Random Walks on Free Products of Graphs

Autor:	Gilch, Lorenz A.
Rok vydání:	2022
Předmět:	Mathematics - Probability Primary: 60J10 Secondary: 20E06
Druh dokumentu:	Working Paper
Popis:	In this article we prove existence of the asymptotic capacity of the range of random walks on free products of graphs. In particular, we will show that the asymptotic capacity of the range is almost surely constant and strictly positive. Furthermore, we provide a central limit theorem for the capacity of the range and show that it varies real-analytically in terms of finitely supported probability measures of constant support. Comment: 45 pages, 4 figures. Final version with some minor updates and corrections. Section was removed; its parts were implemented in other sections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.09884 Zobrazit plný text záznamu View this record from Arxiv