منابع مشابه
Inequalities for Shannon entropies and Kolmogorov complexities
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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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Landsberg’s notion of disorder, entropy normalized to maximum entropy, was originally proposed for the Shannon information-theoretic entropy to overcome deficiencies of entropy as a measure of disorder due to extensivity. We generalize Landsberg’s concept to three classes of extended entropies: Rényi, Tsallis and Landsberg-Vedral. Three examples are treated, including one based on the logistic ...
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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.
متن کاملSpeed Gradient and MaxEnt Principles for Shannon and Tsallis Entropies
In this paper we consider dynamics of non-stationary processes that follow the MaxEnt principle. We derive a set of equations describing dynamics of a system for Shannon and Tsallis entropies. Systems with discrete probability distribution are considered under mass conservation and energy conservation constraints. The existence and uniqueness of solution are established and asymptotic stability...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1985
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1985.102051