Speaker: Ryokichi Tanaka (Tohoku University)
Title: Poisson boundary for the discrete affine group
Time/Date: 4:45-6:15, Monday, June 13, 2018.
Abstract: We introduce the discrete affine group of a regular tree as a finitely generated subgroup of the affine group. We describe the Poisson boundary of random walks on it as a space of configurations, and discuss metric relationship with some lamplighter groups and lamplighter graphs. (Joint work with Jeremie Brieussel (Universite de Montpellier) and Tianyi Zheng (US San Diego)).