English

Geodesic excursions into an embedded disc on a hyperbolic Riemann surface

Geometric Topology 2009-04-21 v1 Dynamical Systems

Abstract

We calculate the asymptotic average rate at which a generic geodesic on a finite area hyperbolic 2-orbifold returns to an embedded disc on the surface, as well as the average amount of time it spends in the disc during each visit. This includes the case where the center of the disc is a cone point.

Keywords

Cite

@article{arxiv.0802.0261,
  title  = {Geodesic excursions into an embedded disc on a hyperbolic Riemann surface},
  author = {Andrew Haas},
  journal= {arXiv preprint arXiv:0802.0261},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-06-21T10:08:57.478Z