76 citations · 251 across the 13 of their papers we have counts for
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An approach to comparing Kolmogorov-Sinai and permutation entropy
Valentina A. Unakafova, Anton M. Unakafov, Karsten Keller
In this paper we investigate a quantity called conditional entropy of ordinal patterns, akin to the permutation entropy. The conditional entropy of ordinal patterns describes the a…
On the Relation of KS Entropy and Permutation Entropy
Karsten Keller, Anton M. Unakafov, Valentina A. Unakafova
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 ti…
Conditional entropy of ordinal patterns
Anton M. Unakafov, Karsten Keller
In this paper we investigate a quantity called conditional entropy of ordinal patterns, akin to the permutation entropy. The conditional entropy of ordinal patterns describes the a…
Kolmogorov-Sinai entropy from the ordinal viewpoint
Karsten Keller, Mathieu Sinn
In the case of ergodicity much of the structure of a one-dimensional time-discrete dynamical system is already determined by its ordinal structure. We generally discuss this phenom…