Topological flows for hyperbolic groups

Published 9 Dec 2019 in math.DS and math.GR | (1912.03808v1)

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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Authors (1)

Ryokichi Tanaka

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