$The mutual singularity of the relative multifractal measures$
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The mutual singularity of the relative multifractal measures

M. Das proved that the relative multifractal measures are mutually singular for the self-similar measures satisfying the significantly weaker open set condition. The aim of this paper is to show that these measures are mutually singular in a more general framework. As examples, we apply our main res...

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Autores principales:	Douzi Zied, Selmi Bilel
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	multifractal analysis multifractal formalism singularity 28a78 28a80 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/683123d9208c468fb080c813c42c6aec
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spelling	oai:doaj.org-article:683123d9208c468fb080c813c42c6aec2021-12-05T14:10:56ZThe mutual singularity of the relative multifractal measures2353-062610.1515/msds-2020-0123https://doaj.org/article/683123d9208c468fb080c813c42c6aec2021-03-01T00:00:00Zhttps://doi.org/10.1515/msds-2020-0123https://doaj.org/toc/2353-0626M. Das proved that the relative multifractal measures are mutually singular for the self-similar measures satisfying the significantly weaker open set condition. The aim of this paper is to show that these measures are mutually singular in a more general framework. As examples, we apply our main results to quasi-Bernoulli measures.Douzi ZiedSelmi BilelDe Gruyterarticlemultifractal analysismultifractal formalismsingularity28a7828a80MathematicsQA1-939ENNonautonomous Dynamical Systems, Vol 8, Iss 1, Pp 18-26 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	multifractal analysis multifractal formalism singularity 28a78 28a80 Mathematics QA1-939
spellingShingle	multifractal analysis multifractal formalism singularity 28a78 28a80 Mathematics QA1-939 Douzi Zied Selmi Bilel The mutual singularity of the relative multifractal measures
description	M. Das proved that the relative multifractal measures are mutually singular for the self-similar measures satisfying the significantly weaker open set condition. The aim of this paper is to show that these measures are mutually singular in a more general framework. As examples, we apply our main results to quasi-Bernoulli measures.
format	article
author	Douzi Zied Selmi Bilel
author_facet	Douzi Zied Selmi Bilel
author_sort	Douzi Zied
title	The mutual singularity of the relative multifractal measures
title_short	The mutual singularity of the relative multifractal measures
title_full	The mutual singularity of the relative multifractal measures
title_fullStr	The mutual singularity of the relative multifractal measures
title_full_unstemmed	The mutual singularity of the relative multifractal measures
title_sort	mutual singularity of the relative multifractal measures
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/683123d9208c468fb080c813c42c6aec
work_keys_str_mv	AT douzizied themutualsingularityoftherelativemultifractalmeasures AT selmibilel themutualsingularityoftherelativemultifractalmeasures AT douzizied mutualsingularityoftherelativemultifractalmeasures AT selmibilel mutualsingularityoftherelativemultifractalmeasures
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The mutual singularity of the relative multifractal measures

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