Asymptotic Capacity of the Range of Random Walks on Free Products of Graphs
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 capaci...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | 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. |
---|---|
DOI: | 10.48550/arxiv.2209.09884 |