Results 11 to 20 of about 488,120 (194)
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
doaj +6 more sources
Some New Results Involving Past Tsallis Entropy of Order Statistics [PDF]
Entropy, 2023 This work focuses on exploring the properties of past Tsallis entropy as it applies to order statistics. The relationship between the past Tsallis entropy of an ordered variable in the context of any continuous probability law and the past Tsallis ...
Mansour Shrahili, Mohamed Kayid
doaj +4 more sources
Tsallis entropy on fractal sets [PDF]
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
doaj +3 more sources
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
doaj +5 more sources
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
doaj +4 more sources
Tsallis Entropy of Product MV-Algebra Dynamical Systems [PDF]
Entropy, 2018 This paper is concerned with the mathematical modelling of Tsallis entropy in product MV-algebra dynamical systems. We define the Tsallis entropy of order α , where α ∈ ( 0 , 1 ) ∪ ( 1 , ∞ ) , of a partition in ...
Dagmar Markechová, Beloslav Riečan
doaj +4 more sources
Tsallis Entropy, Escort Probability and the Incomplete Information Theory [PDF]
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
Amir Hossein Darooneh, Ali Mehri
exaly +4 more sources
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
doaj +5 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
doaj +5 more sources
Tsallis Entropy and Mutability to Characterize Seismic Sequences: The Case of 2007-2014 Northern Chile Earthquakes. [PDF]
Entropy (Basel), 2023 Seismic data have improved in quality and quantity over the past few decades, enabling better statistical analysis. Statistical physics has proposed new ways to deal with these data to focus the attention on specific matters.
Pasten D +4 more
europepmc +2 more sources