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arXiv · 1509.05741

On the geodesic flow on CAT(0) spaces

Charalampos Charitos·Ioannis Papadoperakis·Georgios Tsapogas
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Abstract

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 in recent work of Ricks is removed. We also construct examples of CAT(0) spaces which do not admit finite Bowen-Margulis measure.

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Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas. 2019-07-16. On the geodesic flow on CAT(0) spaces. https://doi.org/10.1017/etds.2019.52

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