Geodesic excursions into an embedded disc on a hyperbolic Riemann surface
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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.References
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Additional Information
- Andrew Haas
- Affiliation: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269
- Email: haas@math.uconn.edu
- Received by editor(s): April 29, 2008
- Published electronically: February 3, 2009
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Conform. Geom. Dyn. 13 (2009), 1-5
- MSC (2000): Primary 30F35, 32Q45, 37E35, 53D25
- DOI: https://doi.org/10.1090/S1088-4173-09-00185-4
- MathSciNet review: 2476655