16 citations · 41 across the 5 of their papers we have counts for
6 papers
Exponential mixing of frame flows for convex cocompact hyperbolic manifolds
Pratyush Sarkar, Dale Winter
The aim of this paper is to establish exponential mixing of frame flows for convex cocompact hyperbolic manifolds of arbitrary dimension with respect to the Bowen-Margulis-Sullivan…
Prime number theorems and holonomies for hyperbolic rational maps
Hee Oh, Dale Winter
We discuss analogues of the prime number theorem for a hyperbolic rational map f of degree at least two on the Riemann sphere. More precisely, we provide counting estimates for the…
Uniform congruence counting for Schottky semigroups in
Michael Magee, Hee Oh, Dale Winter
Let be a Schottky semigroup in , and for , let $Γ(q):=\{γ\in Γ: γ= e \text{ (mod $q$)}\}$ be its congruence subsemigroup of level …
Expanding maps and continued fractions
Michael Magee, Hee Oh, Dale Winter
We obtain a power saving in the error term for a semigroup congruence lattice point count related to continued fractions. This is done by adapting arguments from recent work of Oh…
Uniform exponential mixing and resonance free regions for convex cocompact congruence subgroups of
Hee Oh, Dale Winter
Let be a non-elementary finitely generated subgroup and let be its congruence subgroup of level for each . We obtain an as…
Mixing of frame flow for rank one locally symmetric spaces and measure classification
Dale Winter
Let be a connected simple linear Lie group of rank one, and let be a discrete Zariski dense subgroup admitting a finite Bowen-Margulis-Sullivan measure $m^{\operatorname{…