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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
Received: 12 November 2010; in revised form: 10 January 2011 / Accepted: 12 January 2011 / Published: 14 January 2011
(This article belongs to the Special Issue Advances in Information Theory)
Download PDF [113 KB, uploaded 14 January 2011]
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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MDPI and ACS Style

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

AMA Style

Flego S, Olivares F, Plastino A, Casas M. Extreme Fisher Information, Non-Equilibrium Thermodynamics and Reciprocity Relations. Entropy. 2011; 13(1):184-194.

Chicago/Turabian Style

Flego, Silvana; Olivares, Felipe; Plastino, Angelo; Casas, Montserrat. 2011. "Extreme Fisher Information, Non-Equilibrium Thermodynamics and Reciprocity Relations." Entropy 13, no. 1: 184-194.


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