The maximum entropy principle and the nature of fractals

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...

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Bibliographic Details
Authors: Pastor Satorras, Romualdo|||0000-0002-4051-6007, Wagensberg Lubinski, Jorge
Format: article
Publication Date:1998
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/126420
Online Access:https://hdl.handle.net/2117/126420
https://dx.doi.org/10.1016/S0378-4371(97)00571-2
Access Level:Open access
Keyword:Fractals
Statistics
Fractals Statistics MaxEnt
Estadística
Àrees temàtiques de la UPC::Física
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spelling The maximum entropy principle and the nature of fractalsPastor Satorras, Romualdo|||0000-0002-4051-6007Wagensberg Lubinski, JorgeFractalsStatisticsFractals Statistics MaxEntFractalsEstadísticaÀrees temàtiques de la UPC::FísicaWe 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.19981998-06-1920192019-01-09journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/126420https://dx.doi.org/10.1016/S0378-4371(97)00571-2reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1264202026-05-27T15:37:01Z
dc.title.none.fl_str_mv The maximum entropy principle and the nature of fractals
title The maximum entropy principle and the nature of fractals
spellingShingle The maximum entropy principle and the nature of fractals
Pastor Satorras, Romualdo|||0000-0002-4051-6007
Fractals
Statistics
Fractals Statistics MaxEnt
Fractals
Estadística
Àrees temàtiques de la UPC::Física
title_short The maximum entropy principle and the nature of fractals
title_full The maximum entropy principle and the nature of fractals
title_fullStr The maximum entropy principle and the nature of fractals
title_full_unstemmed The maximum entropy principle and the nature of fractals
title_sort The maximum entropy principle and the nature of fractals
dc.creator.none.fl_str_mv Pastor Satorras, Romualdo|||0000-0002-4051-6007
Wagensberg Lubinski, Jorge
author Pastor Satorras, Romualdo|||0000-0002-4051-6007
author_facet Pastor Satorras, Romualdo|||0000-0002-4051-6007
Wagensberg Lubinski, Jorge
author_role author
author2 Wagensberg Lubinski, Jorge
author2_role author
dc.subject.none.fl_str_mv Fractals
Statistics
Fractals Statistics MaxEnt
Fractals
Estadística
Àrees temàtiques de la UPC::Física
topic Fractals
Statistics
Fractals Statistics MaxEnt
Fractals
Estadística
Àrees temàtiques de la UPC::Física
description 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.
publishDate 1998
dc.date.none.fl_str_mv 1998
1998-06-19
2019
2019-01-09
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/126420
https://dx.doi.org/10.1016/S0378-4371(97)00571-2
url https://hdl.handle.net/2117/126420
https://dx.doi.org/10.1016/S0378-4371(97)00571-2
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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