Random walks on dyadic-valued solvable matrix groups
Group Theory
2017-04-27 v2
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.
Cite
@article{arxiv.1512.06934,
title = {Random walks on dyadic-valued solvable matrix groups},
author = {John J. Harrison},
journal= {arXiv preprint arXiv:1512.06934},
year = {2017}
}
Comments
There are errors in the paper which make the conclusions incorrect, and it doesn't cite relevant work by Brofferio and others