Random walks on Baumslag-Solitar groups

被引：2

作者：

Cuno, Johannes ^{[1
]}

Sava-Huss, Ecaterina ^{[2
]}

机构：

[1] PSL Res Univ, CNRS, Dept Math & Applicat, Ecole Normale Super, 45 Rue Ulm, F-75005 Paris, France

[2] Graz Univ Technol, Inst Discrete Math, Steyrergasse 30-3, A-8010 Graz, Austria

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2018年 / 228卷 / 02期

基金：

欧洲研究理事会; 奥地利科学基金会;

关键词：

TRANSITION-PROBABILITIES; POISSON FORMULA; AFFINE GROUP; LIE-GROUPS; BOUNDARY; BEHAVIOR; ENTROPY; GROWTH; GRAPHS; ENDS;

D O I：

10.1007/s11856-018-1775-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider random walks on non-amenable Baumslag-Solitar groups BS(p, q) and describe their Poisson-Furstenberg boundary. The latter is a probabilistic model for the long-time behaviour of the random walk. In our situation, we identify it in terms of the space of ends of the Bass-Serre tree and the real line using Kaimanovich's strip criterion.

引用

页码：627 / 663

页数：37

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