Generalization of Shannon-Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem

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dc.creatorSuyari, Hiroki
dc.date2002-05-02
dc.date2002-05-28
dc.date.accessioned2026-07-07T04:29:10Z
dc.date.available2026-07-07T04:29:10Z
dc.descriptionThe Shannon-Khinchin axioms are generalized to nonextensive systems and the uniqueness theorem for the nonextensive entropy is proved rigorously. In the present axioms, Shannon additivity is used as additivity in contrast to pseudoadditivity in Abe's axioms. The results reveal that Tsallis entropy is the simplest among all nonextensive entropies which can be obtained from the generalized Shannon-Khinchin axioms.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0205004
dc.identifierhttp://arxiv.org/abs/math-ph/0205004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57059
dc.subjectMathematical Physics
dc.subject94A17; 62B10
dc.titleGeneralization of Shannon-Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem
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