RANDOM WALKS ON INFINITE TREES

被引：0

作者：

Anandam, Victor ^{[1
]}

机构：

[1] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, Tamil Nadu, India

来源：

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2020年 / 65卷 / 01期

关键词：

recurrence; transience; random walk; infinite trees; biexcessive functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some conditions for recurrence or transience of a random walk, with the transition probabilities matrix P, on an infinite tree T are obtained. Then defining a biexcessive function associated with the random walk as a function q(x) on (T, P) such that -Delta q(x) is an excessive function, a representation for positive (with respect to a specific order) biexcessive functions and some of its consequences are given.

引用

页码：75 / 82

页数：8