ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES
In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets 𝐾(𝛼, 𝛽) for some non-regular Moran measures satisfying the so-called Strong Separation Condition.We obtain sufficient conditions for the valid multifractal formalisms of such measures and d...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2023-02-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=12310&lang=ru |
| _version_ | 1828000193850638336 |
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| author | B. Selmi N. Yu. Svetova |
| author_facet | B. Selmi N. Yu. Svetova |
| author_sort | B. Selmi |
| collection | DOAJ |
| description | In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets 𝐾(𝛼, 𝛽) for
some non-regular Moran measures satisfying the so-called Strong
Separation Condition.We obtain sufficient conditions for the valid
multifractal formalisms of such measures and discuss examples. |
| first_indexed | 2024-04-10T06:11:15Z |
| format | Article |
| id | doaj.art-f093e20e274042de9554535495d4dbb6 |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-04-10T06:11:15Z |
| publishDate | 2023-02-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-f093e20e274042de9554535495d4dbb62023-03-02T16:53:51ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322023-02-0112 (30)1467110.15393/j3.art.2023.12310ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURESB. Selmi0N. Yu. Svetova1Analysis, Probability and Fractals Laboratory LR18ES17 Faculty of sciences of Monastir Department of mathematicsPetrozavodsk State UniversityIn this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets 𝐾(𝛼, 𝛽) for some non-regular Moran measures satisfying the so-called Strong Separation Condition.We obtain sufficient conditions for the valid multifractal formalisms of such measures and discuss examples.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=12310&lang=rufractal/multifractal dimensionsmoran setsnonregular moran measures |
| spellingShingle | B. Selmi N. Yu. Svetova ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES Проблемы анализа fractal/multifractal dimensions moran sets nonregular moran measures |
| title | ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES |
| title_full | ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES |
| title_fullStr | ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES |
| title_full_unstemmed | ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES |
| title_short | ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES |
| title_sort | on the mutual multifractal analysis for some non regular moran measures |
| topic | fractal/multifractal dimensions moran sets nonregular moran measures |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=12310&lang=ru |
| work_keys_str_mv | AT bselmi onthemutualmultifractalanalysisforsomenonregularmoranmeasures AT nyusvetova onthemutualmultifractalanalysisforsomenonregularmoranmeasures |