Stabilities of generalized entropies

DOI10.1088/0305-4470/37/44/004zbMath1064.94008arXivcond-mat/0401290OpenAlexW2048759097WikidataQ62596871 ScholiaQ62596871MaRDI QIDQ4663995

Giorgio Kaniadakis, Sumiyoshi Abe, Antonio Maria Scarfone

Publication date: 5 April 2005

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0401290

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Measures of information, entropy (94A17)

Related Items (14)

Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions ⋮ Stability of a class of entropies based on fractional calculus ⋮ Power-law tailed statistical distributions and Lorentz transformations ⋮ Fractional cumulative residual entropy ⋮ Conservative force fields in non-Gaussian statistics ⋮ Necessary and sufficient condition for stability of generalized expectation value ⋮ κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass ⋮ Entropies based on fractional calculus ⋮ How should the distance of probability assignments be judged? ⋮ Uniform estimates on the Tsallis entropies ⋮ A new generalization of von Neumann relative entropy ⋮ PHYSICAL ORIGIN OF THE POWER-LAW TAILED STATISTICAL DISTRIBUTIONS ⋮ Entropic forms and related algebras ⋮ A counterexample against the Lesche stability of a generic entropy functional

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