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Invariant measures for the horocycle flow on periodic hyperbolic surfaces
Author(s):
François
Ledrappier;
Omri
Sarig
Journal:
Electron. Res. Announc. Amer. Math. Soc.
11
(2005),
89-94.
MSC (2000):
Primary 37D40, 37A40;
Secondary 31C12
Posted:
November 15, 2005
MathSciNet review:
2183007
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Abstract:
We describe the ergodic invariant Radon measures for the horocycle flow on general (infinite) regular covers of finite volume hyperbolic surfaces. The method is to establish a bijection between these measures and the positive minimal eigenfunctions of the Laplacian of the covering surface.
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Additional Information:
François
Ledrappier
Affiliation:
Department of Mathematics, University of Notre-Dame, Notre-Dame, IN 46556-4618
Email:
ledrappier.1@nd.edu
Omri
Sarig
Affiliation:
Mathematics Department, Pennsylvania State University, University Park, PA 16802
Email:
sarig@math.psu.edu
DOI:
10.1090/S1079-6762-05-00151-4
PII:
S 1079-6762(05)00151-4
Received by editor(s):
July 27, 2005
Posted:
November 15, 2005
Additional Notes:
F.L. is supported by NSF grant DMS-0400687
O.S. is supported by NSF grant DMS-0500630
Dedicated:
Pour Martine
Communicated by:
Boris Hasselblatt
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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