On uniqueness theorems for Tsallis entropy and Tsallis relative entropy

Details On uniqueness theorems for Tsallis entropy and Tsallis relative entropy On uniqueness theorems for Tsallis entropy and Tsallis relative entropy

2004-10-12

arxiv.org/abs/cond-mat/0410270v2

IEEE Trans. on Information Theory, Vol.51(2005),pp.3638-3645

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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.

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