Geodesic cusp excursions and metric diophantine approximation
Geometric Topology
2009-04-16 v2 Dynamical Systems
Number Theory
Abstract
We derive several results that describe the rate at which a generic geodesic makes excursions into and out of a cusp on a finite area hyperbolic surface and relate them to approximation with respect to the orbit of infinity for an associated Fuchsian group. This provides proofs of some well known theorems from metric diophantine approximation in the context of Fuchsian groups. It also gives new results in the classical setting.
Cite
@article{arxiv.0709.0313,
title = {Geodesic cusp excursions and metric diophantine approximation},
author = {Andrew Haas},
journal= {arXiv preprint arXiv:0709.0313},
year = {2009}
}
Comments
20 pages, see published paper for final edition