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math-ph2002★ 2 cited
Generalization of Shannon-Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem
Hiroki Suyari
The Shannon-Khinchin axioms are generalized to nonextensive systems and the uniqueness theorem for the nonextensive entropy is proved rigorously. In the present axioms, Shannon add…
math-ph2002★ 2 cited
Three classes of nonextensive entropies characterized by Shannon additivity and pseudoadditivity
Hiroki Suyari
Nonextensive entropies are divided into three classes, each of which is characterized by Shannon additivity and pseudoadditivity. One of the three classes has properties of both ad…