Random walks on dyadic-valued solvable matrix groups
arXiv:1512.06934
Abstract
This paper is concerned with random walks on a family of dyadic-valued solvable matrix groups. A description of the Poisson boundary of these groups for probability measures of finite first moment and non-zero displacements (or drifts) is given. When non-trivial, the boundary may be identified with a space of matrices with real and 2-adic entries, depending on the values in a displacement matrix associated with the random walk. Conditions for boundary triviality are also discussed.
There are errors in the paper which make the conclusions incorrect, and it doesn't cite relevant work by Brofferio and others