On the geodesic flow on CAT(0) spaces
arXiv:1509.05741 · doi:10.1017/etds.2019.52
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.
27 pages, 1 figure