Random walks on Baumslag-Solitar groups

Johannes Cuno*, Ecaterina Sava-Huss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)627-663
Number of pages37
JournalIsrael Journal of Mathematics
Publication statusPublished - Oct 2018

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)


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