Random walks on dyadic-valued solvable matrix groups

John J. Harrison

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arXiv · 1512.06934

Random walks on dyadic-valued solvable matrix groups

John J. Harrison

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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.

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BibTeX RIS

John J. Harrison. 2017-04-25. Random walks on dyadic-valued solvable matrix groups. https://arxiv.org/abs/1512.06934

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