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math.DS2026★ 5 cited
Some ergodic properties of metrics on hyperbolic groups
Uri Bader, Alex Furman
Let be a non-elementary Gromov-hyperbolic group, and denote its Gromov boundary. We consider -invariant proper -hyperbolic, quasi-convex metric on $Î…
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…