On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies (Q296289)
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scientific article; zbMATH DE number 6427808
- An equivalent condition for a sequence to be the sequence of partial entropies
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies |
scientific article; zbMATH DE number 6427808 |
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On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies (English)
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An equivalent condition for a sequence to be the sequence of partial entropies (English)
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15 June 2016
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21 April 2015
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Summary: 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.
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dynamical entropy
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Kolmogorov-Sinai entropy
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0.86647296
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0.86439824
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0.8588404
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0.85092115
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0.8473579
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0.8467491
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0.8466444
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