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- W4289751437 abstract "In this paper, we show that, under some technical assumptions, the Kolmogorov-Sinai entropy and the permutation entropy are equal for one-dimensional maps if there exists a countable partition of the domain of definition into intervals such that the considered map is monotone on each of those intervals. This is a generalization of a result by Bandt, Pompe and G. Keller, who showed that the above holds true under the additional assumptions that the number of intervals on which the map is monotone is finite and that the map is continuous on each of those intervals." @default.
- W4289751437 created "2022-08-04" @default.
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- W4289751437 date "2018-07-20" @default.
- W4289751437 modified "2023-10-18" @default.
- W4289751437 title "Equality of Kolmogorov-Sinai and permutation entropy for one-dimensional maps consisting of countably many monotone parts" @default.
- W4289751437 doi "https://doi.org/10.48550/arxiv.1807.07881" @default.
- W4289751437 hasPublicationYear "2018" @default.
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