Legendre structure of kappa-thermostatistics revisited in the framework of information geometry (Articolo in rivista)

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Label
  • Legendre structure of kappa-thermostatistics revisited in the framework of information geometry (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1088/1751-8113/47/27/275002 (literal)
Alternative label
  • A.M. Scarfone (1); T. Wada (2) (2014)
    Legendre structure of kappa-thermostatistics revisited in the framework of information geometry
    in Journal of physics. A, mathematical and general (Print); IOP PUBLISHING, BRISTOL (Regno Unito)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • A.M. Scarfone (1); T. Wada (2) (literal)
Pagina inizio
  • 275002 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://iopscience.iop.org/1751-8121/47/27/275002/ (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 47 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 17 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 27 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1) Istituto dei Sistemi Complessi (ISC-CNR) c/o Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy (2) Department of Electrical and Electronic Engineering, Ibaraki University, 4-12-1 Nakanarusawa, Hitachi, Ibaraki, 316-8511, Japan (literal)
Titolo
  • Legendre structure of kappa-thermostatistics revisited in the framework of information geometry (literal)
Abstract
  • Information geometry is a powerful framework in which to study families of probability distributions or statistical models by applying differential geometric tools. It provides a useful framework for deriving many important structures in probability theory by identifying the space of probability distributions with a differentiable manifold endowed with a Riemannian metric. In this paper, we revisit some aspects concerning the kappa -thermostatistics based on the entropy S-kappa in the framework of information geometry. After introducing the dually flat structure associated with the kappa -distribution, we show that the dual potentials derived in the formalism of information geometry correspond to the generalized Massieu function Phi(kappa) and the generalized entropy S-kappa characterizing the Legendre structure of the kappa -deformed statistical mechanics. In addition, we obtain several quantities, such as escort distributions and canonical divergence, relevant for the further development of the theory. (literal)
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