Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms

Christian Maes; Evgeny Verbitskiy

doi:10.1007/s00220-002-0764-6

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Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms

Christian Maes·Evgeny Verbitskiy

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Abstract

We consider expansive homeomorphisms with the specification property. We give a new simple proof of a large deviation principle for Gibbs measures corresponding to a regular potential and we establish a general symmetry of the rate function for the large deviations of the antisymmetric part, under time-reversal, of the potential. This generalizes the Gallavotti-Cohen fluctuation theorem to a larger class of chaotic systems.

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BibTeX RIS

Christian Maes, Evgeny Verbitskiy. 2002-03-06. Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms. https://doi.org/10.1007/s00220-002-0764-6

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