Excursion and return times of a geodesics to a subset of a hyperbolic Riemann surface
Dynamical Systems
2011-02-24 v1 Complex Variables
Abstract
We calculate the asymptotic average rate at which a generic geodesic on a finite area hyperbolic 2-orbifold returns to a subsurface with geodesic boundary. As a consequence we get the average time a generic geodesic spends in such a subsurface. Related results are obtained for excursions into a collar neighborhood of a simple closed geodesic and the associated distribution of excursion depths.
Cite
@article{arxiv.1102.4838,
title = {Excursion and return times of a geodesics to a subset of a hyperbolic Riemann surface},
author = {Andrew Haas},
journal= {arXiv preprint arXiv:1102.4838},
year = {2011}
}
Comments
12 pages