Average homogeneity and dimensions of measures

DOI10.1007/s00208-004-0595-1zbMath1094.28003OpenAlexW1601456243WikidataQ110037592 ScholiaQ110037592MaRDI QIDQ1772083

Esa Järvenpää, Maarit Järvenpää

Publication date: 15 April 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-004-0595-1

zbMATH Keywords

Hausdorff dimensionporosityRadon probability measureaverage homogeneity

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

Porosities of Mandelbrot percolation

Cites Work

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• On dimension of porous measures
• Hausdorff dimension and mean porosity
• Estimates for the lower and the upper dimension of a measure
• Attainable values for upper porosities of measures
• Porous measures on $\mathbb {R}^{n}$: Local structure and dimensional properties
• On the Minkowski Dimension of Strongly Porous Fractal Sets in R ⁿ
• Distribution of Sets and Measures Along Planes
• Porosities and dimensions of measures
• Porosity,  -porosity and measures
• Strong and weak duality principles for fractal dimension in Euclidean space

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