Random walks on Baumslag-Solitar groups
Probability
2017-11-16 v3 Group Theory
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.
Cite
@article{arxiv.1510.00833,
title = {Random walks on Baumslag-Solitar groups},
author = {Johannes Cuno and Ecaterina Sava-Huss},
journal= {arXiv preprint arXiv:1510.00833},
year = {2017}
}
Comments
24 pages, 7 figures, v3: revision implementing the suggestions of the reviewer