21 citations · 54 across the 16 of their papers we have counts for
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math.DS2022
Invariant measures of the topological flow and measures at infinity on hyperbolic groups
Stephen Cantrell, Ryokichi Tanaka
We show that for every non-elementary hyperbolic group, an associated topological flow space admits a coding based on a transitive subshift of finite type. Applications include reg…
math.DS2021★ 4 cited
The Manhattan curve, ergodic theory of topological flows and rigidity
Stephen Cantrell, Ryokichi Tanaka
For every non-elementary hyperbolic group, we introduce the Manhattan curve associated to any pair of left-invariant hyperbolic metrics which are quasi-isometric to a word metric.…
math.DS2019★ 2 cited
Topological flows for hyperbolic groups
Ryokichi Tanaka
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…