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math.DS2026
Proof of the singularity conjecture for discrete subgroups of
Timothée Bénard
Let be a finitely supported probability measure on whose support generates a Zariski-dense discrete subgroup. We prove that its stationary probabili…
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…