On the Relation of KS Entropy and Permutation Entropy

Abstract

Since Bandt et al. have shown that the permutation entropy and the Kolmogorov-Sinai entropy coincide for piecewise monotone interval maps, the relationship of both entropies for time-discrete dynamical systems is of a certain interest. The aim of this paper is a discussion of this relationship on the basis of an ordinal characterization of the Kolmogorov-Sinai entropy recently given.

References in corpus (3)

• The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems
• Kolmogorov-Sinai entropy from the ordinal viewpoint
• Permutation Complexity via Duality between Values and Orderings

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