Exponential decay of correlations for piecewise cone hyperbolic contact flows
Dynamical Systems
2015-05-28 v2 Chaotic Dynamics
Abstract
We prove exponential decay of correlations for a realistic model of piecewise hyperbolic flows preserving a contact form, in dimension three. This is the first time exponential decay of correlations is proved for continuous-time dynamics with singularities on a manifold. Our proof combines the second author's version of Dolgopyat's estimates for contact flows and the first author's work with Gou\"ezel on piecewise hyperbolic discrete-time dynamics. (Presentation revised.)
Keywords
Cite
@article{arxiv.1105.0567,
title = {Exponential decay of correlations for piecewise cone hyperbolic contact flows},
author = {Viviane Baladi and Carlangelo Liverani},
journal= {arXiv preprint arXiv:1105.0567},
year = {2015}
}
Comments
76 pages, 4 figures included in LaTeX file