Information Geometry of κ-Exponential Families: Dually-Flat, Hessian and Legendre Structures

In this paper, we present a review of recent developments on the κ -deformed statistical mechanics in the framework of the information geometry. Three different geometric structures are introduced in the κ -formalism which are obtained starting from three, not equivalent,...

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Bibliographic Details
Main Authors: Antonio M. Scarfone, Hiroshi Matsuzoe, Tatsuaki Wada
Format: Article
Language:English
Published: MDPI AG 2018-06-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/6/436