Showing math.DSShow all
3 papers · 1 filter
math.DS2026
Classification of Choquet-Deny Lie groups
Timothée Bénard, Joshua Frisch
We characterize connected Lie groups on which all adapted random walks have only trivial bounded harmonic functions. In the nilpotent case, this answers a question of Furstenberg r…
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 be a countably infinite discrete group. A -flow (i.e., a nonempty compact Hausdorff space equipped with a continuous action of ) is called -minimal for a subse…