Liapunov Multipliers and Decay of Correlations in Dynamical Systems
Chaotic Dynamics
2009-11-10 v1
Abstract
The essential decorrelation rate of a hyperbolic dynamical system is the decay rate of time-correlations one expects to see stably for typical observables once resonances are projected out. We define and illustrate these notions and study the conjecture that for observables in , the essential decorrelation rate is never faster than what is dictated by the {\em smallest} unstable Liapunov multiplier.
Keywords
Cite
@article{arxiv.nlin/0303002,
title = {Liapunov Multipliers and Decay of Correlations in Dynamical Systems},
author = {Pierre Collet and Jean-Pierre Eckmann},
journal= {arXiv preprint arXiv:nlin/0303002},
year = {2009}
}