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.

引用

页码：89 / 94

页数：6

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