Hausdorff measures, dimensions and mutual singularity

DOI10.1090/S0002-9947-05-04031-6zbMath1104.28001MaRDI QIDQ5461385

Manav Das

Publication date: 26 July 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

stochastic processmultifractalVitali cover(strong) open set conditionpointwise local dimensionstoppings

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (20)

The mutual singularity of multifractal measures for some non-regular Moran fractals ⋮ A relative multifractal analysis ⋮ A relative multifractal analysis: box-dimensions, densities, and projections ⋮ A MIXED MULTIFRACTAL ANALYSIS FOR QUASI-AHLFORS VECTOR-VALUED MEASURES ⋮ MIXED MULTIFRACTAL DENSITIES FOR QUASI-AHLFORS VECTOR-VALUED MEASURES ⋮ Some density results of relative multifractal analysis ⋮ On the mutual singularity of Hewitt-Stromberg measures for which the multifractal functions do not necessarily coincide ⋮ On the mutual singularity of multifractal measures ⋮ A joint multifractal analysis of vector valued non Gibbs measures ⋮ Contraction ratios for graph-directed iterated constructions ⋮ Multifractal Tubes ⋮ Billingsley’s packing dimension ⋮ A note on the multifractal Hewitt-Stromberg measures in a probability space ⋮ The mutual singularity of the relative multifractal measures ⋮ On the mutual singularity of Hewitt-Stromberg measures ⋮ On the effect of projections on the Billingsley dimensions ⋮ On the multifractal analysis of measures in a probability space ⋮ Relative multifractal box-dimensions ⋮ Another example of the mutual singularity of multifractal measures ⋮ Remarks on the mutual singularity of multifractal measures

Cites Work

• A note on equivalent interval covering systems for Hausdorff dimension on \(\mathbb R\)
• Local properties of self-similar measures
• Multifractal decompositions of Moran fractals
• A multifractal formalism
• Hausdorff Dimension in Graph Directed Constructions
• Fractal measures and their singularities: The characterization of strange sets
• Multifractal Decompositions of Digraph Recursive Fractals
• Separation Properties for Self-Similar Sets
• Random Self-Similar Multifractals
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