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Is the Tsallis entropy stable? [PDF]

open access: yesEPL (Europhysics Letters), 2009
The question of whether the Tsallis entropy is Lesche-stable is revisited. It is argued that when physical averages are computed with the escort probabilities, the correct application of the concept of Lesche-stability requires use of the escort ...
J. P. Boon   +5 more
core   +4 more sources

Tsallis Entropy of Product MV-Algebra Dynamical Systems

open access: yesEntropy, 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   +2 more sources

Tsallis Entropy Theory for Modeling in Water Engineering: A Review

open access: yesEntropy, 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 ...
Vijay P. Singh   +2 more
doaj   +2 more sources

Tsallis Relative Entropy and Anomalous Diffusion [PDF]

open access: yesEntropy, 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   +4 more sources

Order Properties Concerning Tsallis Residual Entropy

open access: yesMathematics
With the help of Tsallis residual entropy, we introduce Tsallis quantile entropy order between two random variables. We give necessary and sufficient conditions, study closure and reversed closure properties under parallel and series operations and show ...
Răzvan-Cornel Sfetcu, Vasile Preda
doaj   +2 more sources

Inequalities for relative operator entropy in terms of Tsallis’ entropy

open access: yesAsian-European Journal of Mathematics, 2018
In this paper, we obtain new inequalities for relative operator entropy [Formula: see text] in terms of Tsallis’ relative entropy [Formula: see text] [Formula: see text] in the case of positive invertible operators [Formula: see text] [Formula: see text]
Dragomir, Silvestru   +2 more
core   +3 more sources

On Cumulative Tsallis Entropies

open access: yesActa Applicandae Mathematicae, 2023
We investigate the cumulative Tsallis entropy, an information measure recently introduced as a cumulative version of the classical Tsallis differential entropy, which is itself a generalization of the Boltzmann-Gibbs statistics. This functional is here considered as a perturbation of the expected mean residual life via some power weight function.
Simon, Thomas, Dulac, Guillaume
openaire   +3 more sources

Tsallis Entropy for Geometry Simplification [PDF]

open access: yesEntropy, 2011
This paper presents a study and a comparison of the use of different information-theoretic measures for polygonal mesh simplification. Generalized measures from Information Theory such as Havrda–Charvát–Tsallis entropy and mutual information have been applied. These measures have been used in the error metric of a surfaces implification algorithm.
Pascual Castelló   +4 more
openaire   +4 more sources

Symbolic sequences and Tsallis entropy [PDF]

open access: yesBrazilian Journal of Physics, 2009
We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze sequences with two, three and four symbols that could be repeated $l$ times, with the probability distribution $p(l)\propto 1/ l^μ$.
Ribeiro, H. V.   +4 more
openaire   +4 more sources

Coherence as entropy increment for Tsallis and Rényi entropies

open access: yesQuantum Information Processing, 2023
Relative entropy of coherence can be written as an entropy difference of the original state and the incoherent state closest to it when measured by relative entropy. The natural question is, if we generalize this situation to Tsallis or Rényi entropies, would it define good coherence measures?
openaire   +3 more sources

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