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.
Original language | English |
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Pages (from-to) | 627-663 |
Number of pages | 37 |
Journal | Israel Journal of Mathematics |
Volume | 228 |
DOIs | |
Publication status | Published - Oct 2018 |
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)