A. Furman

activity

20242026

most citedSome ergodic properties of metrics on hyperbolic groups

5 citations · 5 across the 1 of their papers we have counts for

collaborators

5 papers

math.DS2026★ 5 cited

Some ergodic properties of metrics on hyperbolic groups

Uri Bader, Alex Furman

Let $I^$ be a non-elementary Gromov-hyperbolic group, and $\partial I^$ denote its Gromov boundary. We consider $I^$ -invariant proper $I^´$ -hyperbolic, quasi-convex metric $d$ on $Î…

math.GR2025

Normal Subgroup Theorem for groups acting on $A ~_{2}$ -buildings

Uri Bader, Alex Furman, Jean LÃ©cureux

Let $I^$ be a group acting on with finite stabilizers and finite fundamental domain on a building of type $A ~_{2}$ . We prove that any non-trivial normal subgroup of $I^$ is of…

math.GR2025

Quotients of Poisson boundaries, entropy, and spectral gap

Samuel Dodds, Alex Furman

Poisson boundary is a measurable $I^$ -space canonically associated with a group $I^$ and a probability measure $I^¼$ on it. The collection of all measurable $I^$ -equivariant quotien…

math.DS2025

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…

math.GR2024

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 $I^ < G$ on hyperbolic spaces, and we show that all such actions satisfying mild properties come from the rank-one factors of $G$ . In particu…