A generalized Faddeev's axiom and the uniqueness theorem for Tsallis entropy
Statistical Mechanics
2010-12-30 v2 Information Theory
math.IT
Abstract
The uniequness theorem for the Tsallis entropy by introducing the generalized Faddeev's axiom is proven. Our result improves the recent result, the uniqueness theorem for Tsallis entropy by the generalized Shannon-Khinchin's axiom in \cite{Suy}, in the sence that our axiom is simpler than his one, as similar that Faddeev's axiom is simpler than Shannon-Khinchin's one.
Keywords
Cite
@article{arxiv.cond-mat/0410271,
title = {A generalized Faddeev's axiom and the uniqueness theorem for Tsallis entropy},
author = {Shigeru Furuichi},
journal= {arXiv preprint arXiv:cond-mat/0410271},
year = {2010}
}
Comments
This paper has been withdrawn by the author. The contents were unified in cond-mat/0410270