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.
Original languageEnglish
Pages (from-to)137–151
Number of pages15
JournalCommunications in Mathematical Physics
Volume233
DOIs
Publication statusPublished - 2003
Externally publishedYes

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