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

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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.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…

Normal Subgroup Theorem for groups acting on A~2​-buildings

Quotients of Poisson boundaries, entropy, and spectral gap

Hyperbolic actions of higher-rank lattices come from rank-one factors

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