Title of article
Relationships Between the Legendre Structure in the S2−q-Formalism and the Dually-Flat Structure in the Space of Escort Distributions
Author/Authors
Wada، نويسنده , , Tatsuaki and Ohara، نويسنده , , Atsumi and Scarfone، نويسنده , , Antonio M.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
12
From page
181
To page
192
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.
Keywords
Nonextensive entropy , Information geometry , Generalized statistical mechanics
Journal title
Reports on Mathematical Physics
Serial Year
2012
Journal title
Reports on Mathematical Physics
Record number
1990527
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