On uniqueness theorems for Tsallis entropy and Tsallis relative entropy
Statistical Mechanics
2016-11-18 v2 Information Theory
math.IT
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.
Keywords
Cite
@article{arxiv.cond-mat/0410270,
title = {On uniqueness theorems for Tsallis entropy and Tsallis relative entropy},
author = {Shigeru Furuichi},
journal= {arXiv preprint arXiv:cond-mat/0410270},
year = {2016}
}
Comments
this was merged by two manuscripts (arXiv:cond-mat/0410270 and arXiv:cond-mat/0410271), and will be published from IEEE TIT