Hyperbolic groupoids: metric and measure (Q473149)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolic groupoids: metric and measure |
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Hyperbolic groupoids: metric and measure (English)
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21 November 2014
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Summary: 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 and Anosov flows using Gromov hyperbolic graphs. Other results include a duality theory for hyperbolic groupoids graded by Hölder continuous Busemann cocycles, and a characterization of visual metrics.
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Patterson-Sullivan measure
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visual metric
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SRB measure
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hyperbolic groupoids
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hyperbolic graphs
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