Invariant measures for the horocycle flow on periodic hyperbolic surfaces-Reference-Cited by-同舟云学术

Invariant measures for the horocycle flow on periodic hyperbolic surfaces

Published:2005-11-15 Issue:11 Volume:11 Page:89-94
ISSN:1079-6762
Container-title:Electronic Research Announcements of the American Mathematical Society
language:en
Short-container-title:Electron. Res. Announc. Amer. Math. Soc.

Author:

Ledrappier François,Sarig Omri

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.

Publisher

American Mathematical Society (AMS)

Subject

General Mathematics

Reference21 articles.

1. Tail-invariant measures for some suspension semiflows;Aaronson, Jon;Discrete Contin. Dyn. Syst.,2002

2. On the classification of invariant measures for horosphere foliations on nilpotent covers of negatively curved manifolds;Babillot, Martine,2004

3. Geodesic paths and horocycle flow on abelian covers;Babillot, Martine,1998

4. Existence of positive harmonic functions on groups and on covering manifolds;Bougerol, Philippe;Ann. Inst. H. Poincar\'{e} Probab. Statist.,1995

5. Horocycle flow on geometrically finite surfaces;Burger, Marc;Duke Math. J.,1990

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Limit theorems for horocycle flows;Hyperbolic Dynamics, Fluctuations and Large Deviations;2015-04-01

2. SOME EXAMPLES HOWTO USE MEASURE CLASSIFICATION IN NUMBER THEORY;NATO Science Series