Liapunov Multipliers and Decay of Correlations in Dynamical Systems

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 C1, the essential decorrelation rate is never faster than what is dictated by the smallest unstable Liapunov multiplier.

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Cite this paper

@inproceedings{Collet2003LiapunovMA, title={Liapunov Multipliers and Decay of Correlations in Dynamical Systems}, author={P. Collet and J . - P . Eckmann}, year={2003} }