paper

Intersection Points of Closed Geodesics on Hyperbolic Surfaces of Finite Area

arXiv:2407.12233 · doi:10.1093/imrn/rnaf217

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.

18 pages, 6 figures; v2: one proof was changed and one proof was expanded. To appear in IMRN