Dimension of measures: the probabilistic approach

Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic interpretation, we propose very simple proofs for the main inequalities related to this notion. We also discuss the case of quasi-Bernoulli measures and point out the deep link existing between the ca...

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Detalles Bibliográficos
Autor: Heurteaux, Yanick
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:18754
Acceso en línea:https://ddd.uab.cat/record/18754
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_51207_01
Access Level:acceso abierto
Palabra clave:Hausdorff dimension
Packing dimension
Lower and upper dimension of a measure
Multifractal analysis
Quasi-Bernoulli measures
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spelling Dimension of measures: the probabilistic approachHeurteaux, YanickHausdorff dimensionPacking dimensionLower and upper dimension of a measureMultifractal analysisQuasi-Bernoulli measuresVarious tools can be used to calculate or estimate the dimension of measures. Using a probabilistic interpretation, we propose very simple proofs for the main inequalities related to this notion. We also discuss the case of quasi-Bernoulli measures and point out the deep link existing between the calculation of the dimension of auxiliary measures and the multifractal analysis. Text complet amb embargament. Consulteu les "Condicions de l'accés obert" d'aquesta revista. 22007-01-0120072007-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/18754https://dx.doi.org/urn:doi:10.5565/PUBLMAT_51207_01reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:187542026-06-06T12:50:31Z
dc.title.none.fl_str_mv Dimension of measures: the probabilistic approach
title Dimension of measures: the probabilistic approach
spellingShingle Dimension of measures: the probabilistic approach
Heurteaux, Yanick
Hausdorff dimension
Packing dimension
Lower and upper dimension of a measure
Multifractal analysis
Quasi-Bernoulli measures
title_short Dimension of measures: the probabilistic approach
title_full Dimension of measures: the probabilistic approach
title_fullStr Dimension of measures: the probabilistic approach
title_full_unstemmed Dimension of measures: the probabilistic approach
title_sort Dimension of measures: the probabilistic approach
dc.creator.none.fl_str_mv Heurteaux, Yanick
author Heurteaux, Yanick
author_facet Heurteaux, Yanick
author_role author
dc.subject.none.fl_str_mv Hausdorff dimension
Packing dimension
Lower and upper dimension of a measure
Multifractal analysis
Quasi-Bernoulli measures
topic Hausdorff dimension
Packing dimension
Lower and upper dimension of a measure
Multifractal analysis
Quasi-Bernoulli measures
description Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic interpretation, we propose very simple proofs for the main inequalities related to this notion. We also discuss the case of quasi-Bernoulli measures and point out the deep link existing between the calculation of the dimension of auxiliary measures and the multifractal analysis. Text complet amb embargament. Consulteu les "Condicions de l'accés obert" d'aquesta revista.
publishDate 2007
dc.date.none.fl_str_mv 2
2007-01-01
2007
2007-01-01
dc.type.none.fl_str_mv Article
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http://purl.org/coar/version/c_970fb48d4fbd8a85
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https://dx.doi.org/urn:doi:10.5565/PUBLMAT_51207_01
url https://ddd.uab.cat/record/18754
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_51207_01
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
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https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
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instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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