Email this article Algebraic Representation of the Group of Havrda–Charvat–Daroczy Entropy Vectors in Nonextensive Statistical Mechanics
- Authors: Zaripov R.G.1
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Affiliations:
- Institute of Mechanics and Machine Building of the Kazan’ Scientific Center of the Russian Academy of Sciences
- Issue: Vol 59, No 8 (2016)
- Pages: 1135-1144
- Section: Article
- URL: https://ogarev-online.ru/1064-8887/article/view/237467
- DOI: https://doi.org/10.1007/s11182-016-0883-8
- ID: 237467
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Abstract
An algebraic representation of the group of nonextensive, parameterized Havrda–Charvat–Daroczy entropy vectors that depend on three distributions is constructed. The composition law of conformally-generalized hypercomplex numbers is considered, and properties of a commutative, nonassociative algebra are derived. The exponential form of the number and functions of numbers with hyperbolic angles are presented.
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About the authors
R. G. Zaripov
Institute of Mechanics and Machine Building of the Kazan’ Scientific Center of the Russian Academy of Sciences
Author for correspondence.
Email: zaripov@mail.knc.ru
Russian Federation, Kazan’
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