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.
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页码：627 / 663
页数：37
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