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

页码：3310 / 3338

页数：29

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