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Topological flows for hyperbolic groups
Published online by Cambridge University Press: 30 October 2020
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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- Original Article
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- © The Author(s) 2020. Published by Cambridge University Press
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