Equality of Kolmogorov-Sinai and permutation entropy for one-dimensional maps consisting of countably many monotone parts (Q2423661)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equality of Kolmogorov-Sinai and permutation entropy for one-dimensional maps consisting of countably many monotone parts |
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Equality of Kolmogorov-Sinai and permutation entropy for one-dimensional maps consisting of countably many monotone parts (English)
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20 June 2019
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\textit{C. Bandt} et al. [Nonlinearity 15, No. 5, 1595--1602 (2002; Zbl 1026.37027)] proved that the Kolmogorov-Sinai entropy and the permutation entropy are equal for one-dimensional piecewise monotone interval maps. In this paper the authors extend this result to a class of aperiodic countably piecewise monotone maps which are not necessarily continuous.
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one-dimensional dynamics
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Kolmogorov-Sinai entropy
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permutation entropy
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ergodic theory
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piecewise monotone functions
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