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arXiv · 1912.03808

Topological flows for hyperbolic groups

Ryokichi Tanaka
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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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Ryokichi Tanaka. 2019-12-09. Topological flows for hyperbolic groups. https://doi.org/10.1017/etds.2020.101

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