Invariant measures for the horocycle flow on periodic hyperbolic surfaces

被引：1
|
作者：
Ledrappier, F [1 ]
Sarig, O
机构：
[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 11卷
关键词：
D O I：
10.1090/S1079-6762-05-00151-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：89 / 94
页数：6
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