Singularity of Projections of 2-Dimensional Measures Invariant Under the Geodesic Flow

被引：0
|
作者：
Risto Hovila
Esa Järvenpää
Maarit Järvenpää
François Ledrappier
机构：
[1] University of Helsinki,Department of Mathematics and Statistics
[2] University of Oulu,Department of Mathematical Sciences
[3] LPMA,undefined
[4] UMR 7599,undefined
[5] Université Paris 6,undefined
来源：
Communications in Mathematical Physics | 2012年 / 312卷
关键词：
Hausdorff Dimension; Invariance Principle; Geodesic Flow; Markov Partition; Markov Measure;
D O I：
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中图分类号：
学科分类号：
摘要：
We show that on any compact Riemann surface with variable negative curvature there exists a measure which is invariant and ergodic under the geodesic flow and whose projection to the base manifold is 2-dimensional and singular with respect to the 2-dimensional Lebesgue measure.
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页码：127 / 136
页数：9
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