On the Connections of Generalized Entropies With Shannon and Kolmogorov–Sinai Entropies
Copyright policy )On the Connections of Generalized Entropies With Shannon and Kolmogorov–Sinai Entropies
We consider the concept of generalized Kolmogorov–Sinai entropy, where instead of the Shannon entropy function, we consider an arbitrary concave function defined on the unit interval, vanishing in the origin. Under mild assumptions on this function, we show that this isomorphism invariant is linearly dependent on the Kolmogorov–Sinai entropy.
dynamical entropy; Kolmogorov–Sinai entropy, Measures of information, entropy, Science, Physics, QC1-999, Q, Astrophysics, dynamical entropy, QB460-466, Kolmogorov–Sinai entropy, Kolmogorov-Sinai entropy
dynamical entropy; Kolmogorov–Sinai entropy, Measures of information, entropy, Science, Physics, QC1-999, Q, Astrophysics, dynamical entropy, QB460-466, Kolmogorov–Sinai entropy, Kolmogorov-Sinai entropy
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