Results 11 to 20 of about 275,814 (182)
Tsallis Relative Entropy and Anomalous Diffusion [PDF]
Entropy, 2012 In this paper we utilize the Tsallis relative entropy, a generalization of the Kullback–Leibler entropy in the frame work of non-extensive thermodynamics to analyze the properties of anomalous diffusion processes.
Karl Heinz Hoffmann +2 more
exaly +7 more sources
Tsallis Entropy and Generalized Shannon Additivity [PDF]
Axioms, 2017 The Tsallis entropy given for a positive parameter α can be considered as a generalization of the classical Shannon entropy. For the latter, corresponding to α = 1 , there exist many axiomatic characterizations. One of them based on the well-
Sonja Jäckle, Karsten Keller
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Special Issue: Tsallis Entropy [PDF]
Entropy, 2012 One of the crucial properties of the Boltzmann-Gibbs entropy in the context of classical thermodynamics is extensivity, namely proportionality with the number of elements of the system.
Anastasios Anastasiadis
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Tsallis Entropy of Fuzzy Dynamical Systems [PDF]
Mathematics, 2018 This article deals with the mathematical modeling of Tsallis entropy in fuzzy dynamical systems. At first, the concepts of Tsallis entropy and Tsallis conditional entropy of order q , where q is a positive real number not equal to 1, of ...
Dagmar Markechová
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Tsallis Entropy and the Transition to Scaling in Fragmentation [PDF]
Entropy, 2000 By using the maximum entropy principle with Tsallis entropy we obtain a fragment size distribution function which undergoes a transition to scaling. This distribution function reduces to those obtained by other authors using Shannon entropy. The treatment is easily generalisable to any process of fractioning with suitable constraints.
Oscar Sotolongo-Costa +2 more
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Tsallis Entropy Theory for Modeling in Water Engineering: A Review
Entropy, 2017 Water engineering is an amalgam of engineering (e.g., hydraulics, hydrology, irrigation, ecosystems, environment, water resources) and non-engineering (e.g., social, economic, political) aspects that are needed for planning, designing and managing water ...
Huijuan Cui, Bellie Sivakumar
exaly +4 more sources
Weak chaos from Tsallis entropy [PDF]
QScience Connect, 2012 We present a geometric, model-independent, argument that aims to explain why the Tsallis entropy describes systems exhibiting “weak chaos”, namely systems whose underlying dynamics has vanishing largest Lyapunov exponent.
Nikos Kalogeropoulos
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Tsallis entropy on fractal sets
Journal of Taibah University for Science, 2021 In this article, we review fractal calculus ( $ F^{\alpha } $ -calculus) and define generalized Tsallis entropy on the fractal sets which is called fractal Tsallis entropy.
Alireza Khalili Golmankhaneh
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Tsallis Entropy, Escort Probability and the Incomplete Information Theory
Entropy, 2010 Non-extensive statistical mechanics appears as a powerful way to describe complex systems. Tsallis entropy, the main core of this theory has been remained as an unproven assumption. Many people have tried to derive the Tsallis entropy axiomatically. Here
Parvin Sadeghi +3 more
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Some Properties of Fractal Tsallis Entropy
Fractal and Fractional, 2023 We introduce fractal Tsallis entropy and show that it satisfies Shannon–Khinchin axioms. Analogously to Tsallis divergence (or Tsallis relative entropy, according to some authors), fractal Tsallis divergence is defined and some properties of it are ...
Vasile Preda, Răzvan-Cornel Sfetcu
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