Random walks on Baumslag-Solitar groups

Published 3 Oct 2015 in math.PR and math.GR | (1510.00833v3)

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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