On the mutual singularity of Hewitt-Stromberg measures (Q2043696)
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scientific article; zbMATH DE number 7377545
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the mutual singularity of Hewitt-Stromberg measures |
scientific article; zbMATH DE number 7377545 |
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On the mutual singularity of Hewitt-Stromberg measures (English)
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3 August 2021
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Properties of multifractal Hewitt-Stromberg measures on general Bedford-McMullen carpets are studied. Its mutual singularity is proved, solving a question from \textit{N. Attia} and \textit{B. Selmi} [J. Geom. Anal. 31, No. 1, 825--862 (2021; Zbl 1462.28003)]. This leads to deeper understanding of local dimension spectra of such measures.
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Hewitt- Stromberg measure
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multifractal density theorems
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mutual singularity of multifractal measures
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Bedford-McMullen carpet
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Sierpinski carpets
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Hausdorff spectra
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packing spectra
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Hausdorff dimension
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packing measures
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0.93425715
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0.91425854
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0.90820944
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0.8964609
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0.89352685
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0.88669515
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0.8844079
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