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Entropy 2011, 13(1), 184-194; doi:10.3390/e13010184
Review

Extreme Fisher Information, Non-Equilibrium Thermodynamics and Reciprocity Relations

1,2
,
3
,
1,4,5,*  and 5
1 Instituto de Fisica (IFLP), Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina 2 Departamento de Ciencias Basicas, Universidad Nacional de La Plata, Fac. de Ingenieria, 1900 La Plata, Argentina 3 Departamento de Fisica, Universidad Nacional de La Plata, Fac. Ciencias Exactas, C.C. 67, 1900 La Plata, Argentina 4 Argentine National Research Center (CCT-CONICET), Argentina 5 Departament de Fisica, Universitat de les Illes Balears and IFISC-CSIC, 07122 Palma de Mallorca, Spain
* Author to whom correspondence should be addressed.
Received: 12 November 2010 / Revised: 10 January 2011 / Accepted: 12 January 2011 / Published: 14 January 2011
(This article belongs to the Special Issue Advances in Information Theory)
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Abstract

In employing MaxEnt, a crucial role is assigned to the reciprocity relations that relate the quantifier to be extremized (Shannon’s entropy S), the Lagrange multipliers that arise during the variational process, and the expectation values that constitute the a priori input information. We review here just how these ingredients relate to each other when the information quantifier S is replaced by Fisher’s information measure I. The connection of these proceedings with thermodynamics constitute our physical background.
Keywords: Fisher information; thermodynamic; MaxEnt; reciprocity relations Fisher information; thermodynamic; MaxEnt; reciprocity relations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Flego, S.; Olivares, F.; Plastino, A.; Casas, M. Extreme Fisher Information, Non-Equilibrium Thermodynamics and Reciprocity Relations. Entropy 2011, 13, 184-194.

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