Kolmogorov-Sinai entropy of an observable bounds its reconstruction error for chaotic dynamics through Lyapunov exponents and Ruelle's inequality.
Walters,An Introduction to Ergodic Theory(Springer-Verlag, 1982)
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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.