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arXiv · 1510.00833

Random walks on Baumslag-Solitar groups

Johannes Cuno·Ecaterina Sava-Huss
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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.

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Johannes Cuno, Ecaterina Sava-Huss. 2015-10-03. Random walks on Baumslag-Solitar groups. https://arxiv.org/abs/1510.00833

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