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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2021-03-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2020-0123 |
| _version_ | 1818322823409565696 |
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| author | Douzi Zied Selmi Bilel |
| author_facet | Douzi Zied Selmi Bilel |
| author_sort | Douzi Zied |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T11:02:55Z |
| format | Article |
| id | doaj.art-683123d9208c468fb080c813c42c6aec |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-12-13T11:02:55Z |
| publishDate | 2021-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-683123d9208c468fb080c813c42c6aec2022-12-21T23:49:13ZengDe GruyterNonautonomous Dynamical Systems2353-06262021-03-0181182610.1515/msds-2020-0123The mutual singularity of the relative multifractal measuresDouzi Zied0Selmi Bilel1Analysis, Probability & Fractals Laboratory LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000-Monastir, TunisiaAnalysis, Probability & Fractals Laboratory LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000-Monastir, TunisiaM. 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.https://doi.org/10.1515/msds-2020-0123multifractal analysismultifractal formalismsingularity28a7828a80 |
| spellingShingle | Douzi Zied Selmi Bilel The mutual singularity of the relative multifractal measures Nonautonomous Dynamical Systems multifractal analysis multifractal formalism singularity 28a78 28a80 |
| title | 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_short | The mutual singularity of the relative multifractal measures |
| title_sort | mutual singularity of the relative multifractal measures |
| topic | multifractal analysis multifractal formalism singularity 28a78 28a80 |
| url | https://doi.org/10.1515/msds-2020-0123 |
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