2 papers
math.GR2025
Quotients of Poisson boundaries, entropy, and spectral gap
Samuel Dodds, Alex Furman
Poisson boundary is a measurable -space canonically associated with a group and a probability measure on it. The collection of all measurable -equivariant quotients,…
math.GR2022
On the Lattice of Boundaries and the Entropy Spectrum of Hyperbolic Groups
Samuel Dodds
Let be a non-elementary hyperbolic group and be a probability on . We study the -proximal, stationary actions, also known as boundary actions, of . In particular,…