Fisher information and Renyi dimensions: A thermodynamical formalism

被引：10

作者：

Godo, B. ^{[1
]}

Nagy, A. ^{[1
]}

机构：

[1] Univ Debrecen, Dept Theoret Phys, H-4002 Debrecen, Hungary

来源：

CHAOS | 2016年 / 26卷 / 08期

关键词：

D O I：

10.1063/1.4959908

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The relation between the Fisher information and Renyi dimensions is established: the Fisher information can be expressed as a linear combination of the first and second derivatives of the Renyi dimensions with respect to the Renyi parameter beta. The Renyi parameter beta is the parameter of the Fisher information. A thermodynamical description based on the Fisher information with beta being the inverse temperature is introduced for chaotic systems. The link between the Fisher information and the heat capacity is emphasized, and the Fisher heat capacity is introduced. Published by AIP Publishing.

引用

页数：6

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