Ruelle operators and decay of correlations for contact Anosov flows (Q386662)
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scientific article; zbMATH DE number 6236990
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ruelle operators and decay of correlations for contact Anosov flows |
scientific article; zbMATH DE number 6236990 |
Statements
Ruelle operators and decay of correlations for contact Anosov flows (English)
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10 December 2013
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From the authors' summary: ''We prove strong spectral estimates for Ruelle transfer operators for arbitrary \(C^ 2\) contact Anosov flows. As a consequence of this we obtain: (a) existence of a non-zero analytic continuation of the Ruelle zeta function with a pole at the entropy in a vertical strip containing the entropy in its interior; (b) a Prime Orbit Theorem with an exponentially small error; (c) exponential decay of correlations for Hölder continuous observables with respect to any Gibbs measure.''
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Ruelle transfer operator
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contact Anosov flow
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decay of correlations
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