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.
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页码：75 / 82
页数：8
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