Instability statistics and mixing rates

Details Instability statistics and mixing rates Instability statistics and mixing rates

2009-06-03

arxiv.org/abs/0906.0791v4

Phys. Rev. E 80, 036210 (2009)

Nonlinear Sciences

Chaotic Dynamics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.80.036210

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.

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