Multifractal analysis of a measure of multifractal exact dimension

DOI10.1016/j.na.2008.01.033zbMath1163.28304OpenAlexW2077079358MaRDI QIDQ2518140

Meifeng Dai

Publication date: 13 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.01.033

zbMATH Keywords

multifractal analysisdecomposition theoremcentered Hausdorff measuremultifractal exact dimension

Mathematics Subject Classification ID

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

Related Items (4)

The modified box dimension and average weighted receiving time of the weighted hierarchical graph ⋮ Some density results of relative multifractal analysis ⋮ Multifractal dimensions for projections of measures ⋮ A note on multifractal packing dimension of measures

Cites Work

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• A multifractal formalism
• Connecting ergodicity and dimension in dynamical systems
• The Hausdorff Dimension Distribution of Finite Measures in Euclidean Space
• Multifractal Analysis of Singularly Continuous Probability Measures

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