The maximum entropy principle and the nature of fractals

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Title:	The maximum entropy principle and the nature of fractals
Author:	Pastor Satorras, Romualdo; Wagensberg, Jorge
Other authors:	Universitat Politècnica de Catalunya. Departament de Física; Universitat Politècnica de Catalunya. SC-SIMBIO - Sistemes complexos. Simulació discreta de materials i de sistemes biològics
Abstract:	We apply the Principle of Maximum Entropy to the study of a general class of deterministic fractal sets. The scaling laws peculiar to these objects are accounted for by means of a constraint concerning the average content of information in those patterns. This constraint allows for a new statistical characterization of fractal objects and fractal dimension.
Subject(s):	-Àrees temàtiques de la UPC::Física -Fractals -Statistics -Fractals Statistics MaxEnt -Fractals -Estadística
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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