Random walks on Baumslag-Solitar groups

2015/10/03 by Johannes Cuno, Ecaterina Sava-Huss, Cuno, Johannes +1 · 1 citation
Mathematics · #20F65 #50C63 (Secondary) #60G50 #60J50 (Primary) #FOS: Mathematics #Group Theory (math.GR) #Probability (math.PR) #math.GR #math.PR #msc:20F65 #msc:50C63 #msc:60G50 #msc:60J50

paper · pdf · doi:10.48550/arxiv.1510.00833

24 pages, 7 figures, v3: revision implementing the suggestions of the reviewer

arxiv created 2017/11/15 · arxiv updated 2017/11/16

Abstract

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.

Cited by

• Subgroup mixing in Baumslag-Solitar groups

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