On the Connections of Generalized Entropies With Shannon and Kolmogorov–Sinai Entropies
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چکیده
منابع مشابه
On the Connections of Generalized Entropies With Shannon and Kolmogorov-Sinai Entropies
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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Ana Alonso-Serrano 1,*,† and Matt Visser 2,† 1 Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, 18000 Prague, Czech Republic 2 School of Mathematics and Statistics, Victoria University of Wellington, P.O. Box 600, Wellington 6140, New Zealand; [email protected] * Correspondence: [email protected] † These authors contributed equally...
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ژورنال
عنوان ژورنال: Entropy
سال: 2014
ISSN: 1099-4300
DOI: 10.3390/e16073732