Random Walks on the Affine Group of a Homogeneous Tree in the Drift-Free Case

被引：0
作者：
Dariusz Buraczewski
Konrad Kolesko
机构：
[1] Uniwersytet Wrocławski,Instytut Matematyczny
来源：
Journal of Theoretical Probability | 2012年 / 25卷
关键词：
Random walk; Affine group; Homogeneous tree; Invariant measure; 60B15;
D O I：
暂无
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学科分类号：
摘要：
The affine group of a homogeneous tree is the group of all its isometries fixing an end of its boundary. We consider a random walk with law μ on this group and the associated random processes on the tree and its boundary. In the drift-free case there exists on the boundary of the tree a unique μ-invariant Radon measure. In this paper we describe its behaviour at infinity.
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页码：189 / 204
页数：15
相关论文
共 6 条
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  • [3] Cartwright D.I.(1994)Random walks on the affine group of local fields and of homogeneous trees Ann. Inst. Fourier (Grenoble) 44 1243-1288
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