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math.DS2011
Hyperbolic groupoids: metric and measure
Volodymyr Nekrashevych
We construct Patterson-Sullivan measure and a natural metric on the unit space of a hyperbolic groupoid. In particular, this gives a new approach to defining SRB measures on Smale…
math.DS2011
Hyperbolic groupoids and duality
Volodymyr Nekrashevych
We define hyperbolic groupoids, generalizing the notion of a Gromov hyperbolic group. Examples of hyperbolic groupoids include actions of Gromov hyperbolic groups on their boundari…