Range of random walks on free products

被引：2
|
作者：
Gilch, Lorenz A. [1 ]
机构：
[1] Univ Passau, Innstr 33, D-94032 Passau, Germany
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2022年 / 149卷
关键词：
Random walk; Range; Free product; Central limit theorem; Analyticity;
D O I：
10.1016/j.spa.2022.03.002
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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. (c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页码：369 / 403
页数：35
相关论文
共 50 条
12345