Hyperbolic groupoids: metric and measure

Details Hyperbolic groupoids: metric and measure Hyperbolic groupoids: metric and measure

2011-09-20

arxiv.org/abs/1109.4338v1

Mathematics

Dynamical Systems

39 pages

Scientific paper

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 spaces using Gromov hyperbolic graphs.

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