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Conformal Geometry and Dynamics

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Geodesic excursions into an embedded disc on a hyperbolic Riemann surface

Author: Andrew Haas
Journal: Conform. Geom. Dyn. 13 (2009), 1-5
MSC (2000): Primary 30F35, 32Q45, 37E35, 53D25
Published electronically: February 3, 2009
MathSciNet review: 2476655
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Abstract | References | Similar Articles | Additional Information

Abstract: We calculate the asymptotic average rate at which a generic geodesic on a finite area hyperbolic $2$-orbifold returns to an embedded disc on the surface, as well as the average amount of time it spends in the disc during each visit. This includes the case where the center of the disc is a cone point.

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Additional Information

Andrew Haas
Affiliation: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269

Keywords: Hyperbolic surface, Fuchsian group, geodesic flow
Received by editor(s): April 29, 2008
Published electronically: February 3, 2009
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.