Entropic Forms and Related Algebras
AbstractStarting from a very general trace-form entropy, we introduce a pair of algebraic structures endowed by a generalized sum and a generalized product. These algebras form, respectively, two Abelian fields in the realm of the complex numbers isomorphic each other. We specify our results to several entropic forms related to distributions recurrently observed in social, economical, biological and physical systems including the stretched exponential, the power-law and the interpolating Bosons-Fermions distributions. Some potential applications in the study of complex systems are advanced.
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Scarfone, A.M. Entropic Forms and Related Algebras. Entropy 2013, 15, 624-649.
Scarfone AM. Entropic Forms and Related Algebras. Entropy. 2013; 15(2):624-649.Chicago/Turabian Style
Scarfone, Antonio M. 2013. "Entropic Forms and Related Algebras." Entropy 15, no. 2: 624-649.