Information Geometry on the κ-Thermostatistics

被引：13

作者：

Wada, Tatsuaki ^{[1
]}

Scarfone, Antonio M. ^{[2
]}

机构：

[1] Ibaraki Univ, Dept Elect & Elect Engn, Hitachi, Ibaraki 3168511, Japan

[2] Politecn Torino, CNR, ISC, I-10129 Turin, Italy

来源：

ENTROPY | 2015年 / 17卷 / 03期

基金：

日本学术振兴会;

关键词：

DISTRIBUTIONS;

D O I：

10.3390/e17031204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We explore the information geometric structure of the statistical manifold generated by the kappa-deformed exponential family. The dually-flat manifold is obtained as a dualistic Hessian structure by introducing suitable generalization of the Fisher metric and affine connections. As a byproduct, we obtain the fluctuation-response relations in the kappa-formalism based on the kappa-generalized exponential family.

引用

页码：1204 / 1217

页数：14

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