2015/12/22 by John J. Harrison, Harrison, John J.
Computer Science · Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Topological and Geometric Data Analysis #math.GR
paper · pdf · doi:10.48550/arxiv.1512.06934
There are errors in the paper which make the conclusions incorrect, and it doesn't cite relevant work by Brofferio and others
openalex publication_date 2015/12/22 · arxiv created 2017/04/25 · arxiv updated 2017/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.