Renewal theory on the affine group of an oriented tree

被引：6

作者：

Brofferio, S ^{[1
]}

机构：

[1] Graz Tech Univ, Inst Math C, A-8010 Graz, Austria

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2004年 / 17卷 / 04期

基金：

奥地利科学基金会;

关键词：

random walk; renewal theory; affine group; tree; p-adic rationals;

D O I：

10.1007/s10959-004-0577-y

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：

The affine group of a tree is the group of the isometrics of a homogeneous tree that fix an end of its boundary. Consider a probability measure it on this group and the associated random walk. The main goal of this paper is to determine the accumulation points of the potential kernel 9 * U = g* Sigma(n-0)(infinity) mu((n)), when g tends to infinity In particular we show that under suitable regularity hypotheses this kernel can be continuously extended to the tree's boundary and we determine the limit measures.

引用

页码：819 / 859

页数：41

共 12 条

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