Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms
Chaotic Dynamics
2015-05-26 v1
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.
Cite
@article{arxiv.nlin/0203008,
title = {Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms},
author = {Christian Maes and Evgeny Verbitskiy},
journal= {arXiv preprint arXiv:nlin/0203008},
year = {2015}
}