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Two Types of q‐Gaussian Distributions Used to Study the Diffusion in a Finite Region
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 13192-13201, September 2025.ABSTRACT In this work, we explore both the ordinary q$$ q $$‐Gaussian distribution and a new one defined here, determining both their mean and variance, and we use them to construct solutions of the q$$ q $$‐deformed diffusion differential equation. This approach allows us to realize that the standard deviation of the distribution must be a function of
Won Sang Chung +3 more
wiley +1 more source
Some Possible rationales for Rényi-Tsallis entropy maximization [PDF]
, 2008 electronic version (6 pp.)International audienceDistributions derived from the maximization of Rényi-Tsallis entropy are often called Tsallis’ distributions.
Bercher, Jean-François
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A step beyond Tsallis and Rényi entropies [PDF]
Physics Letters A, 2005 Tsallis and Rényi entropy measures are two possible different generalizations of the Boltzmann-Gibbs entropy (or Shannon's information) but are not generalizations of each others. It is however the Sharma-Mittal measure, which was already defined in 1975 (B.D. Sharma, D.P.
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Advances in Fuzzy Systems, 2015 Tsallis entropy is a q-parameter extension of Shannon entropy. By extremizing the Tsallis entropy within the framework of fuzzy c-means clustering (FCM), a membership function similar to the statistical mechanical distribution function is obtained.
Makoto Yasuda
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A Simple Model for the Entropy of a System With Interacting Particles
IEEE Access, 2019 We present a simple model to calculate the system entropy of interacting particles where the interaction is modeled by unusual collisions concerning initial and final states.
Benjamin Lopez-Carrera +1 more
doaj +1 more source
Source coding with Tsallis entropy [PDF]
, 2011 An extension is presented to the source coding theorem traditionally based on the Shannon entropy and later generalised to the Rényi entropy. Another possible generalisation is demonstrated, with a lower bound realised by the Tsallis entropy, when the ...
D. Rousseau +5 more
core +1 more source
Relative entropy and Tsallis entropy of two accretive operators
Comptes Rendus. Mathématique, 2017 Let A and B be two accretive operators. We first introduce the weighted geometric mean of A and B together with some related properties.
Raïssouli, Mustapha +2 more
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Functional background of the Tsallis entropy: 'coarse-grained' systems and 'kappa' distribution functions [PDF]
Nonlinear Processes in Geophysics, 2000 The concept of the generalized entropy is analyzed, with the particular attention to the definition postulated by Tsallis [J. Stat. Phys. 52, 479 (1988)].
A. V. Milovanov, L. M. Zelenyi
doaj
In 1988, Tsallis introduced a non-logarithmic generalization of Shannon entropy, namely Tsallis entropy, and it is non-extensive. In the present work, we propose non-parametric kernel type estimators for the Tsallis entropy and the residual Tsallis ...
Maya, R. +4 more
core +1 more source
On Estimating the Quantum Tsallis Relative Entropy
CoRR57 pages, 2 tables, 2 algorithms.
Jinge Bao, Minbo Gao, Qisheng Wang
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