Extreme Fisher information, non-equilibrium thermodynamics and reciprocity relations
type: Item
instance of: scholarly article
title: Extreme Fisher information, non-equilibrium thermodynamics and reciprocity relations
zbMATH Open document ID: 1229.94032
author: Silvana Flego
author: Felipe Olivares
author: Angelo Plastino
author: Montserrat Casas
published in: Entropy
publication date: 2012-01-09T00:00:00Z
review text: Summary: In employing \texttt{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.
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 62B10
Mathematics Subject Classification ID: 94A15
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 82C35
zbMATH DE Number: 5995925
zbMATH Keywords: Fisher information
zbMATH Keywords: thermodynamic
zbMATH Keywords: maxent
zbMATH Keywords: reciprocity relations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/e13010184
OpenAlex ID: W2038443628
cites work: Information Theory and Statistical Mechanics
cites work: Q4950276
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cites work: A proof of the Fisher information inequality via a data processing argument
cites work: Q3258701
cites work: On the equipartition and virial theorems
DOI: 10.3390/E13010184
description: scientific article; zbMATH DE number 5995925