87 citations · 238 across the 26 of their papers we have counts for
30 papers
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,…
Lyapunov spectrum via boundary theory I
Uri Bader, Alex Furman
This paper is concerned with the Lyapunov spectrum for measurable cocycles over an ergodic pmp system taking values in semi-simple real Lie groups. We prove simplicity of the Lyapu…
Normal Subgroup Theorem for groups acting on -buildings
Uri Bader, Alex Furman, Jean Lécureux
Let be a group acting on with finite stabilizers and finite fundamental domain on a building of type . We prove that any non-trivial normal subgroup of is of fi…
Hyperbolic actions of higher-rank lattices come from rank-one factors
Uri Bader, Pierre-Emmanuel Caprace, Alex Furman +1
We study actions of higher rank lattices on hyperbolic spaces, and we show that all such actions satisfying mild properties come from the rank-one factors of . In particul…
Quasi-Fuchsian vs Negative curvature metrics on surface groups
Ethan Fricker, Alex Furman
We compare two families of left-invariant metrics on a surface group in the context of course-geometry. One family comes from Riemannian metrics of negative curvature on…
Central Limit Theorem for Cocycles over Hyperbolic Systems
Alex Furman, Robert Thijs Kozma
We prove a Central Limit Theorem (CLT) in the non-commutative setting of random matrix products where the underlying process is driven by a subshift of finite type (SFT) with Marko…