Exact packing measure of central Cantor sets in the line

DOI10.1016/j.jmaa.2011.08.044zbMath1229.28015OpenAlexW2334631532MaRDI QIDQ643585

Leandro Zuberman, Ignacio Garcia

Publication date: 2 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.044

zbMATH Keywords

Cantor setdensityHausdorff measurepacking measure

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (8)

On the packing measure of the Sierpinski gasket ⋮ Rate of convergence: the packing and centered Hausdorff measures of totally disconnected self-similar sets ⋮ Exact Hausdorff and packing measure of certain Cantor sets, not necessarily self-similar or homogeneous ⋮ Conditions for the difference set of a central Cantor set to be a Cantorval ⋮ A joint multifractal analysis of vector valued non Gibbs measures ⋮ Computability of the packing measure of totally disconnected self-similar sets ⋮ The family of central Cantor sets with packing dimension zero ⋮ Porosity properties of perturbed Cantor sets

Cites Work

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• The upper densities of symmetric perfect sets
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• Classifying Cantor sets by their fractal dimensions
• Packing regularity of sets in n-space
• Exact Hausdorff measure and intervals of maximum density for Cantor sets
• Exact packing measure of linear Cantor sets
• Dimension functions of Cantor sets
• THE POINTWISE DENSITIES OF NON-SYMMETRIC CANTOR SETS
• On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure

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