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arXiv · 1202.0848

Effective Equidistribution of Closed horocycles for Geometrically finite surfaces

Min Lee·Hee Oh
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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.

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Min Lee, Hee Oh. 2012-02-23. Effective Equidistribution of Closed horocycles for Geometrically finite surfaces. https://arxiv.org/abs/1202.0848

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