Random walks on BaumslagSolitar groups
Abstract
We consider random walks on nonamenable BaumslagSolitar groups BS(p,q) and describe their PoissonFurstenberg boundary. The latter is a probabilistic model for the longtime behaviour of the random walk. In our situation, we identify it in terms of the space of ends of the BassSerre tree and the real line using Kaimanovich's strip criterion.
 Publication:

arXiv eprints
 Pub Date:
 October 2015
 arXiv:
 arXiv:1510.00833
 Bibcode:
 2015arXiv151000833C
 Keywords:

 Mathematics  Probability;
 Mathematics  Group Theory;
 60J50 (Primary);
 60G50;
 20F65;
 50C63 (Secondary)
 EPrint:
 24 pages, 7 figures, v3: revision implementing the suggestions of the reviewer