Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients

Th Oikonomou

doi:10.1016/j.physa.2007.08.025

Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients

Th Oikonomou

Department of Physics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We explore the generalization of the ordinary multinomial coefficient, based on the deformed q-multiplication and q-division. Aim of this study is to construct the appropriate multinomial coefficients, from which one can obtain the Tsallis, Rényi and nonextensive Gaussian entropy, respectively. We show that for all three above entropies there are two possible ways to define the generalized multinomial coefficient. Its consequence is discussed.

Original language	English
Pages (from-to)	119-134
Number of pages	16
Journal	Physica A: Statistical Mechanics and its Applications
Volume	386
Issue number	1
DOIs	https://doi.org/10.1016/j.physa.2007.08.025
Publication status	Published - Dec 1 2007

Keywords

Generalized factorial
Generalized multinomial coefficient
Nonextensive Gaussian entropy
Rényi entropy
Tsallis entropy

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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AB - We explore the generalization of the ordinary multinomial coefficient, based on the deformed q-multiplication and q-division. Aim of this study is to construct the appropriate multinomial coefficients, from which one can obtain the Tsallis, Rényi and nonextensive Gaussian entropy, respectively. We show that for all three above entropies there are two possible ways to define the generalized multinomial coefficient. Its consequence is discussed.

KW - Generalized factorial

KW - Generalized multinomial coefficient

KW - Nonextensive Gaussian entropy

KW - Rényi entropy

KW - Tsallis entropy

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Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients

Abstract

Keywords

ASJC Scopus subject areas

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