- 03-87 Pierre Collet, Jean-Pierre Eckmann
- Liapunov Multipliers and Decay of Correlations in Dynamical Systems
(324K, postscript)
Mar 4, 03
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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 $C^1$, the essential decorrelation rate is never faster than what is dictated by the {\em smallest} unstable Liapunov multiplier.
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