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Large Deviations, Fluctuations and Shrinking Intervals

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Abstract

This paper concerns the statistical properties of hyperbolic diffeomorphisms. We obtain a large deviation result with respect to slowly shrinking intervals for a large class of Hölder continuous functions. In case of time reversal symmetry, we obtain a corresponding version of the Fluctuation Theorem.

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Authors and Affiliations

  1. Department of Mathematics, University of Warwick, Coventry, CV4 7AL, UK

    Mark Pollicott

  2. School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK

    Richard Sharp

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  1. Mark Pollicott
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  2. Richard Sharp
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Correspondence to Richard Sharp.

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Communicated by G. Gallavotti

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Pollicott, M., Sharp, R. Large Deviations, Fluctuations and Shrinking Intervals. Commun. Math. Phys. 290, 321–334 (2009). https://doi.org/10.1007/s00220-008-0725-9

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  • DOI: https://doi.org/10.1007/s00220-008-0725-9

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