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

DOI:
https://doi.org/10.1090/S1088-4173-09-00185-4

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 -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

Email:
haas@math.uconn.edu

DOI:
https://doi.org/10.1090/S1088-4173-09-00185-4

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.