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arXiv.org e-Print Archive
Preprint . 2002
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2002
License: arXiv Non-Exclusive Distribution
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Generalization of Shannon-Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2002Embargo end date: 01 Jan 2002Publisher:arXiv
Authors: Suyari, Hiroki;

doi: 10.48550/arxiv.math-ph/0205004

arXiv: math-ph/0205004

Generalization of Shannon-Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem

Abstract

The Shannon-Khinchin axioms are generalized to nonextensive systems and the uniqueness theorem for the nonextensive entropy is proved rigorously. In the present axioms, Shannon additivity is used as additivity in contrast to pseudoadditivity in Abe's axioms. The results reveal that Tsallis entropy is the simplest among all nonextensive entropies which can be obtained from the generalized Shannon-Khinchin axioms.

10 pages

Keywords

62B10, 94A17; 62B10, FOS: Physical sciences, 94A17, Mathematical Physics (math-ph), Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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