Fisher information and Rényi dimensions: A thermodynamical formalism

B. Godó, A. Nagy

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4 Citations (Scopus)

Abstract

The relation between the Fisher information and Rényi dimensions is established: the Fisher information can be expressed as a linear combination of the first and second derivatives of the Rényi dimensions with respect to the Rényi parameter β. The Rényi parameter β is the parameter of the Fisher information. A thermodynamical description based on the Fisher information with β 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.

Original languageEnglish
Article number083102
JournalChaos
Volume26
Issue number8
DOIs
Publication statusPublished - Aug 1 2016

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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