Intersection Points of Closed Geodesics on Hyperbolic Surfaces of Finite Area
Geometric Topology
2025-10-01 v2 Dynamical Systems
Abstract
Let X be a complete hyperbolic surface of finite area. We establish that the intersection points of closed geodesics with length <T are equidistributed on X as T goes to infinity.
Cite
@article{arxiv.2407.12233,
title = {Intersection Points of Closed Geodesics on Hyperbolic Surfaces of Finite Area},
author = {Tina Torkaman},
journal= {arXiv preprint arXiv:2407.12233},
year = {2025}
}
Comments
18 pages, 6 figures; v2: one proof was changed and one proof was expanded. To appear in IMRN