Random walks on random horospheric products
Vadim A. Kaimanovich, Florian Sobieczky
TL;DR
This paper develops entropy theory for random walks on equivalence relations and analyzes horospheric products of trees to describe the Poisson boundary for such random walks.
Contribution
It introduces a new entropy framework and geometric analysis to characterize the Poisson boundary of random walks on random horospheric products.
Findings
Poisson boundary characterized for random walks on horospheric products
Entropy theory extended to equivalence relations
Asymptotic geometry analyzed for these structures
Abstract
By developing the entropy theory of random walks on equivalence relations and analyzing the asymptotic geometry of horospheric products we describe the Poisson boundary for random walks on random horospheric products of trees.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Topological and Geometric Data Analysis · Mathematical Dynamics and Fractals