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Geodesic excursions into an embedded disc on a hyperbolic Riemann surface
Author(s):
Andrew
Haas
Journal:
Conform. Geom. Dyn.
13
(2009),
1-5.
MSC (2000):
Primary 30F35, 32Q45, 37E35, 53D25
Posted:
February 3, 2009
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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:
10.1090/S1088-4173-09-00185-4
PII:
S 1088-4173(09)00185-4
Keywords:
Hyperbolic surface,
Fuchsian group,
geodesic flow
Received by editor(s):
April 29, 2008
Posted:
February 3, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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