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Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms

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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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Authors and Affiliations

  1. Instituut voor Theoretische Fysica, K.U.Leuven, Celestijnenlaan 200 D, 3001 Leuven, Belgium. E-mail: Christian.Maes@fys.kuleuven.ac.be, , , , , , BE

    Christian Maes

  2. Eurandom, Technical University of Eindhoven, P.O.Box 513, 5600 MB, Eindhoven, The Netherlands. E-mail: e.verbitskiy@tue.nl, , , , , , NL

    Evgeny Verbitskiy

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  1. Christian Maes
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  2. Evgeny Verbitskiy
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Received: 6 March 2002 / Accepted: 16 September 2002 Published online: 8 January 2003

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Maes, C., Verbitskiy, E. Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms. Commun. Math. Phys. 233, 137–151 (2003). https://doi.org/10.1007/s00220-002-0764-6

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  • DOI: https://doi.org/10.1007/s00220-002-0764-6

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