Liapunov Multipliers and Decay of Correlations in Dynamical Systems |
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| Authors: | Collet P Eckmann J-P |
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| Institution: | 1. Laboratoire CNRS UMR 7644, école Polytechnique, Centre de Physique Théorique, F-91128, Palaiseau Cedex, France
2. Département de Physique Théorique et Section de Mathématiques, Université de Genève, CH-1211, Genève 4, Switzerland
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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 $\mathcal{C}^1$ , the essential decorrelation rate is never faster than what is dictated by the smallest unstable Liapunov multiplier. |
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