Structure coarsening, entropy and compressed space dimension
type: Item
instance of: scholarly article
title: Structure coarsening, entropy and compressed space dimension
zbMATH Open document ID: 1063.94020
DOI: 10.1016/S0960-0779(03)00034-1
author: M. Bigerelle
author: A. Iost
published in: Chaos, Solitons and Fractals
publication date: 2004-07-01T00:00:00Z
review text: The authors show that it is possible to reduce information systems thanks to reduction algebra. Under some mathematical restrictions the composition of algebras can quantify the entropy of the system. As a consequence, an isomorphism of a discretized space is constructed to obtain a new subspace with random dimension that well characterizes the random aspect of the initial system. As in thermodynamic statistics, the energy is quantified. The results of the authors enable them to quantify a great number of dynamic phenomena such as complex coarsening structure or equilibrium state.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 2077418
zbMATH Keywords: entropy
zbMATH Keywords: structure coarsening
zbMATH Keywords: random dimension
zbMATH Keywords: equilibrium state
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2077418