On the mutual singularity of Hewitt-Stromberg measures

DOI10.1007/s10476-021-0079-5zbMath1488.28002OpenAlexW3159115904MaRDI QIDQ2043696

Bilel Selmi, Najmeddine Attia

Publication date: 3 August 2021

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-021-0079-5

zbMATH Keywords

Hausdorff dimensionSierpinski carpetspacking measuresBedford-McMullen carpetHausdorff spectrapacking spectraHewitt- Stromberg measuremultifractal density theoremsmutual singularity of multifractal measures

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Fractals (28A80) Hausdorff and packing measures (28A78) Combinatorial aspects of packing and covering (05B40)

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Cites Work

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• Dimensions of random self-affine multifractal Sierpinski sponges in \({{\mathbb{R}}^d}\)
• Random self-affine multifractal Sierpinski sponges in \(\mathbb R^d\)
• Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
• On the Hausdorff and packing measures of typical compact metric spaces
• The singularity spectrum for general Sierpiński carpets
• A multifractal formalism
• On average Hewitt-Stromberg measures of typical compact metric spaces
• Packing measures and dimensions on Cartesian products
• On the Hewitt-Stromberg measure of product sets
• A multifractal formalism for Hewitt-Stromberg measures
• Multifractal analysis for Bedford–McMullen carpets
• The Hausdorff dimension of general Sierpiński carpets
• SYMBOLIC AND GEOMETRIC LOCAL DIMENSIONS OF SELF-AFFINE MULTIFRACTAL SIERPINSKI SPONGES IN ℝ^d
• A Contribution to Measure and Dimension of Metric Spaces
• Open-Invariant Measures and the Covering Number of Sets
• Packing spectra for Bernoulli measures supported on Bedford–McMullen carpets
• REGULARITIES OF MULTIFRACTAL HEWITT-STROMBERG MEASURES
• Gibbs measures on self-affine Sierpiński carpets and their singularity spectrum
• Hausdorff measures, dimensions and mutual singularity