Local mixing on abelian covers of hyperbolic surfaces with cusps
Dynamical Systems
2020-09-15 v2 Number Theory
Abstract
We prove the local mixing theorem for geodesic flows on abelian covers finite volume hyperbolic surfaces with cusps, which is a continuation of the work of Oh-Pan. We also describe applications to counting problems and the prime geodesic theorem.
Keywords
Cite
@article{arxiv.1712.06030,
title = {Local mixing on abelian covers of hyperbolic surfaces with cusps},
author = {Wenyu Pan},
journal= {arXiv preprint arXiv:1712.06030},
year = {2020}
}