Information theoretical properties of Tsallis entropies

DOI10.1063/1.2165744zbMath1111.94008arXivcond-mat/0405600OpenAlexW3098134314MaRDI QIDQ3441614

Shigeru Furuichi

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0405600

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Measures of information, entropy (94A17) Information theory (general) (94A15)

Related Items (35)

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Cites Work

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• Axioms and uniqueness theorem for Tsallis entropy
• On measures of information and their characterizations
• Nonadditive conditional entropy and its significance for local realism
• Possible generalization of Boltzmann-Gibbs statistics.
• Fundamental properties of Tsallis relative entropy
• A metric space of discrete probability distributions
• On Uniqueness Theorems for Tsallis Entropy and Tsallis Relative Entropy
• Generalization of Shannon–Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem for the Nonextensive Entropy
• Note on generalization of Shannon theorem and inequality
• Generalization of Shannon’s theorem for Tsallis entropy
• H-Theorem with Generalized Relative Entropies and the Tsallis Statistics
• Implications of Form Invariance to the Structure of Nonextensive Entropies
• Erratum: “Information gain within generalized thermostatistics” [J. Math. Phys. 39, 6490 (1998)]
• Asymptotically scale-invariant occupancy of phase space makes the entropy S _q extensive
• Generalized information functions

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