On the geodesic flow on CAT(0) spaces

被引：1
|
作者：
Charitos, Charalampos [1 ]
Papadoperakis, Ioannis [1 ]
Tsapogas, Georgios [1 ]
机构：
[1] Agr Univ Athens, Math Lab, Athens 11855, Greece
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2020年 / 40卷 / 12期
关键词：
geodesic flow; mixing; CAT(0) space; topological dynamics; GEOMETRY; SURFACES;
D O I：
10.1017/etds.2019.52
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under certain assumptions on CAT(0) spaces, we show that the geodesic flow is topologically mixing. In particular, the Bowen-Margulis' measure finiteness assumption used by Ricks [Flat strips, Bowen-Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces. Ergod. Th. & Dynam. Sys. 37 (2017), 939-970] is removed. We also construct examples of CAT(0) spaces that do not admit finite Bowen-Margulis measure.
引用
收藏
页码：3310 / 3338
页数：29
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