Gibbs Measures on Negatively Curved Manifolds

被引：0
|
作者：
Yves Coudene
机构：
[1] Ecole Normale Supérieure,
来源：
Journal of Dynamical and Control Systems | 2003年 / 9卷
关键词：
Ergodic theory; geodesic flow; fuchsian group; Gibbs measure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We define the concept of a Gibbs measure on the unitary bundle of any negatively curved complete manifold; as a consequence we show that if the manifold is geometrically finite, there always exists an ergodic probability measure invariant with respect to the geodesic flow and fully supported on the nonwandering set of the flow.
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页码：89 / 101
页数：12
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