Instability statistics and mixing rates
Chaotic Dynamics
2009-10-20 v4
Abstract
We claim that looking at probability distributions of \emph{finite time} largest Lyapunov exponents, and more precisely studying their large deviation properties, yields an extremely powerful technique to get quantitative estimates of polynomial decay rates of time correlations and Poincar\'e recurrences in the -quite delicate- case of dynamical systems with weak chaotic properties.
Cite
@article{arxiv.0906.0791,
title = {Instability statistics and mixing rates},
author = {Roberto Artuso and Cesar Manchein},
journal= {arXiv preprint arXiv:0906.0791},
year = {2009}
}
Comments
5 pages, 5 figures