Liapunov Multipliers and Decay of Correlations in Dynamical Systems

Details Liapunov Multipliers and Decay of Correlations in Dynamical Systems Liapunov Multipliers and Decay of Correlations in Dynamical Systems

2003-03-04

arxiv.org/abs/nlin/0303002v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1023/B:JOSS.0000019817.71073.

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 $C^1$, the essential decorrelation rate is never faster than what is dictated by the {\em smallest} unstable Liapunov multiplier.

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