Geodesic
Invariant measures for the horocycle flow on periodic hyperbolic surfaces
Ledrappier, François1 ; Sarig, Omri2
1 Department of Mathematics, University of Notre-Dame, Notre-Dame, IN 46556-4618
2 Mathematics Department, Pennsylvania State University, University Park, PA 16802
Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 89-94.

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S1079-6762-05-00151-4

Ledrappier, François 1 ; Sarig, Omri 2

1 Department of Mathematics, University of Notre-Dame, Notre-Dame, IN 46556-4618
2 Mathematics Department, Pennsylvania State University, University Park, PA 16802 
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Ledrappier, François; Sarig, Omri. Invariant measures for the horocycle flow on periodic hyperbolic surfaces. Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 89-94. doi : 10.1090/S1079-6762-05-00151-4. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-05-00151-4/

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