Sharp large deviations for some hyperbolic flows (Q456623)
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scientific article; zbMATH DE number 6093909
| Language | Label | Description | Also known as |
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| English | Sharp large deviations for some hyperbolic flows |
scientific article; zbMATH DE number 6093909 |
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Sharp large deviations for some hyperbolic flows (English)
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16 October 2012
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The authors obtain sharp large deviations estimates for a Gibbs measure of points along which certain Cesáro averages belong to shrinking intervals. These averages are constructed by iterating the return map to bases of a Markov partition of an Axiom A flow restricted to a basic set. Similar results for Axiom A diffeomorphisms were obtained by \textit{M. Pollicott} and \textit{R. Sharp} [Commun. Math. Phys. 290, No. 1, 321--334 (2009; Zbl 1193.37038)].
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large deviations
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hyperbolic flows
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Poincaré map
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shrinking intervals
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