Effective Equidistribution of Closed horocycles for Geometrically finite surfaces
Dynamical Systems
2012-02-24 v2
Abstract
For a complete hyperbolic surface whose fundamental group is finitely generated and has critical exponent bigger than 1/2, we obtain an effective equidistribution of closed horocycles in its unit tangent bundle. This extends a result of Sarnak in 1981 for surfaces of finite area. We also discuss its applications in Affine sieves.
Keywords
Cite
@article{arxiv.1202.0848,
title = {Effective Equidistribution of Closed horocycles for Geometrically finite surfaces},
author = {Min Lee and Hee Oh},
journal= {arXiv preprint arXiv:1202.0848},
year = {2012}
}
Comments
22 pages