3 papers
math.PR2017
Random walks on solvable matrix groups
John J. Harrison
We define matrix groups for each natural number and finite set of primes , such that every rational-valued upper triangular matrix group is a (possibly distorted)…
math.GR2017
Random walks on products of trees and certain t.d.l.c. groups
John J. Harrison
The Poisson boundary of a finite direct product of affine automorphism groups of homogeneous trees is considered. The Poisson boundary is shown to be a product of ends of trees wit…
math.GR2015
Random walks on dyadic-valued solvable matrix groups
John J. Harrison
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 fin…