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. We compute isoperimetric profile and Hilbert compression exponent of the group. We also discuss metric relationship with some lamplighter groups and lamplighter graphs.
Full Text
Sign-in/Register to access full text options
Published version (Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have