# Topological flows for hyperbolic groups

@article{Tanaka2020TopologicalFF,
title={Topological flows for hyperbolic groups},
author={Ryokichi Tanaka},
journal={Ergodic Theory and Dynamical Systems},
year={2020},
volume={41},
pages={3474 - 3520}
}
• Ryokichi Tanaka
• Published 9 December 2019
• Mathematics
• Ergodic Theory and Dynamical Systems
Abstract We show that for every non-elementary hyperbolic group the Bowen–Margulis current associated with a strongly hyperbolic metric forms a unique group-invariant Radon measure class of maximal Hausdorff dimension on the boundary square. Applications include a characterization of roughly similar hyperbolic metrics via mean distortion.
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