Kolmogorov-Sinai entropy of an observable bounds its reconstruction error for chaotic dynamics through Lyapunov exponents and Ruelle's inequality.
Ruelle, Publications Mathématiques de l’IHÉS50, 27 (1979)
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Kolmogorov-Sinai entropies identify optimal observables for prediction and dynamics reconstruction in chaotic systems
Kolmogorov-Sinai entropy of an observable bounds its reconstruction error for chaotic dynamics through Lyapunov exponents and Ruelle's inequality.