Remarks on the mutual singularity of multifractal measures

Remarks on the mutual singularity of multifractal measures

Abstract In the present work, we study the mutual singularity of multifractal Hausdorff and packing measures which provide a positive answer to Olsen’s questions in a more general framework. Our main results apply to a family of measures supported by the full 5-adic grid of [0, 1], namely...

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Autor principal: Selmi,Bilel
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:
Multifractal analysis
Multifractal formalism
Singularity
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100073
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spelling oai:scielo:S0716-091720210001000732021-01-26Remarks on the mutual singularity of multifractal measuresSelmi,Bilel Multifractal analysis Multifractal formalism Singularity Abstract In the present work, we study the mutual singularity of multifractal Hausdorff and packing measures which provide a positive answer to Olsen’s questions in a more general framework. Our main results apply to a family of measures supported by the full 5-adic grid of [0, 1], namely the quasi-Bernoulli measures.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.1 20212021-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100073en10.22199/issn.0717-6279-2021-01-0005
institution Scielo Chile
collection Scielo Chile
language English
topic Multifractal analysis
Multifractal formalism
Singularity
spellingShingle Multifractal analysis
Multifractal formalism
Singularity
Selmi,Bilel
Remarks on the mutual singularity of multifractal measures
description Abstract In the present work, we study the mutual singularity of multifractal Hausdorff and packing measures which provide a positive answer to Olsen’s questions in a more general framework. Our main results apply to a family of measures supported by the full 5-adic grid of [0, 1], namely the quasi-Bernoulli measures.
author Selmi,Bilel
author_facet Selmi,Bilel
author_sort Selmi,Bilel
title Remarks on the mutual singularity of multifractal measures
title_short Remarks on the mutual singularity of multifractal measures
title_full Remarks on the mutual singularity of multifractal measures
title_fullStr Remarks on the mutual singularity of multifractal measures
title_full_unstemmed Remarks on the mutual singularity of multifractal measures
title_sort remarks on the mutual singularity of multifractal measures
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100073
work_keys_str_mv AT selmibilel remarksonthemutualsingularityofmultifractalmeasures
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