We explore the relationships between the Legendre structure in the S2-q-formalism in nonextensive statistical mechanics and the dually-flat structure in information geometry. The q-generalized thermodynamic potentials in the S2q-formalism are related to the dual potential functions in the information geometry.
Relationships Between the Legendre Structure in the S2-q-Formalism and the Dually-Flat Structure in the Space of Escort Distributions
Antonio M. Scarfone
2012
Abstract
We explore the relationships between the Legendre structure in the S2-q-formalism in nonextensive statistical mechanics and the dually-flat structure in information geometry. The q-generalized thermodynamic potentials in the S2q-formalism are related to the dual potential functions in the information geometry.File in questo prodotto:
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Descrizione: Relationships Between the Legendre Structure in the S2-q-Formalism and the Dually-Flat Structure in the Space of Escort Distributions
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