Naudts-like duality and the extreme Fisher information principle

Phys. Rev. E 62, 7462 – Published 1 November 2000
L. P. Chimento, F. Pennini, and A. Plastino


We show that using Frieden and Soffer’s extreme information principle [Phys. Rev. E 52, 2274 (1995)] with a Fisher measure constructed with escort probabilities [C. Beck and F. Schlögel, Thermodynamics of Chaotic Systems (Cambridge University Press, Cambridge, England, 1993)], the concomitant solutions obey a type of Naudts’s duality (e-print cond-mat/990470) for nonextensive ensembles [C. Tsallis, in Nonextensive Statistical Mechanics and its Applications, Lecture Notes in Physics, edited by S. Abe and Y. Okamoto (Springer-Verlag, Berlin, in press)].


  • Received 28 April 2000
  • Published in the issue dated November 2000

© 2000 The American Physical Society

Authors & Affiliations

L. P. Chimento1,2, F. Pennini3, and A. Plastino2,3,*

  • 1Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
  • 2Argentine National Research Council (CONICET), Casilla de Correo 727, 1900 La Plata, Argentina
  • 3Departamento de Física, Universidad Nacional de La Plata, Casilla de Correo 727, 1900 La Plata, Argentina

  • *Email address:

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