2 papers
math.DS2026
Strong spectral gap for geometrically finite hyperbolic manifolds
Dubi Kelmer, Osama Khalil, Pratyush Sarkar
Let for be a Zariski dense, geometrically finite, discrete subgroup with critical exponent strictly greater than . We show that…
math.DS2024
Exponential Mixing Via Additive Combinatorics
Osama Khalil
We prove that the geodesic flow on a geometrically finite locally symmetric space of negative curvature is exponentially mixing with respect to the Bowen-Margulis-Sullivan measure.…