Joshua Frisch

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20232026

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3 papers · 1 filter

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.GR2025

Non-Realizability of the Poisson Boundary

Kunal Chawla, Joshua Frisch

We show that for any countable group $G$ equipped with a probability measure $μ$ , there exists a randomized stopping time $τ$ such that $(G, μ_{τ})$ admits a strictly larger sp…

math.GR2023

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 $μ$ with fini…