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On uniqueness theorems for Tsallis entropy and Tsallis relative entropy | Shigeru Furuichi
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12 Oct 2004 | Subject: | Statistical Mechanics; Information Theory | cond-mat.stat-mech cs.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. | Source: | arXiv, cond-mat/0410270 | Services: | Forum | Review | PDF | Favorites |
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