Branching and tree indexed random walks on fractals

被引：47

作者：

Telcs, A

Wormald, NC

机构：

[1] Int Business Sch, H-1021 Budapest, Hungary

[2] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3052, Australia

来源：

JOURNAL OF APPLIED PROBABILITY | 1999年 / 36卷 / 04期

关键词：

branching process; random walk; branching random walk; fractal;

D O I：

10.1017/S0021900200017812

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：

This paper deals with the recurrence of branching random walks on polynomially growing graphs. Amongst other things, we demonstrate the strong recurrence of tree indexed random walks determined by the resistance properties of spherically symmetric graphs. Several branching walk models are considered to show how the branching mechanism influences the recurrence behaviour.

引用

页码：999 / 1011

页数：13

共 14 条

[1]

BARLOW MT, 1990, P INT C MATH, P1025

[2]

BARLOW MT, 1999, DIFFUSION FRACTALS

[3] MARKOV-CHAINS INDEXED BY TREES [J].