Joshua Frisch

collaborators

5 papers

math.GR2026

The Poisson boundary of wreath products

Joshua Frisch, Eduardo Silva

We give a complete description of the Poisson boundary of wreath products $A ≀ B = ⨁_{B} A ⋊ B$ of countable groups $A$ and $B$ , for probability measures $I^¼$ with fin…

math.GR2026

Non-stability of Liouville measures under convex combinations

Behrang Forghani, Joshua Frisch

For every non-hyper-FC-central countable amenable group and every $k \geq 2$ , we provide a sequence of symmetric, fully supported probability measures such that their convex combina…

math.DS2025

The Poisson boundary of discrete subgroups of semisimple Lie groups without moment conditions

Kunal Chawla, Behrang Forghani, Joshua Frisch +1

We show that the Poisson boundary of random walks of finite entropy on Zariski-dense discrete subgroups of semisimple Lie groups equals the Furstenberg boundary of the correspondin…

math.DS2025

Flows with minimal subdynamics

Anton Bernshteyn, Joshua Frisch

Let $I^$ be a countably infinite discrete group. A $I^$ -flow $X$ (i.e., a nonempty compact Hausdorff space equipped with a continuous action of $I^$ ) is called $S$ -minimal for a su…

math.GR2025

Non-Realizability of the Poisson Boundary

Kunal Chawla, Joshua Frisch

We show that for any countable group $G$ equipped with a probability measure $I^¼$ , there exists a randomized stopping time $I ¨ $ such that $(G, I^¼_{I ¨} )$ admits a strictly large…