Mathematics – Dynamical Systems
Scientific paper
2012-02-04
Mathematics
Dynamical Systems
22 pages
Scientific paper
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.
Lee Min
Oh Hee
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