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IEEE Transactions on Information Theory
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Preprint . 2004
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On Uniqueness Theorems for Tsallis Entropy and Tsallis Relative Entropy

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Oct 2005Embargo end date: 01 Jan 2004 English Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Information Theory, volume 51, pages 3,638-3,645 (issn: 0018-9448, Copyright policy )
Authors: Shigeru Furuichi;

doi: 10.1109/tit.2005.855606 , 10.48550/arxiv.cond-mat/0410270

arXiv: cond-mat/0410270

On Uniqueness Theorems for Tsallis Entropy and Tsallis Relative Entropy

Abstract

The uniqueness theorem for Tsallis entropy was presented in {\it H.Suyari, IEEE Trans. Inform. Theory, Vol.50, pp.1783-1787 (2004)} by introducing the generalized Shannon-Khinchin's axiom. In the present paper, this result is generalized and simplified as follows: {\it Generalization}: The uniqueness theorem for Tsallis relative entropy is shown by means of the generalized Hobson's axiom. {\it Simplification}: The uniqueness theorem for Tsallis entropy is shown by means of the generalized Faddeev's axiom.

this was merged by two manuscripts (arXiv:cond-mat/0410270 and arXiv:cond-mat/0410271), and will be published from IEEE TIT

Related Organizations
Keywords

FOS: Computer and information sciences, Statistical Mechanics (cond-mat.stat-mech), Computer Science - Information Theory, Information Theory (cs.IT), FOS: Physical sciences, Condensed Matter - Statistical Mechanics

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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!
48
Top 10%
Top 10%
Average
Green
bronze