Dimension functions of Cantor sets

DOI10.1090/S0002-9939-07-09019-3zbMath1124.28006OpenAlexW2030358993MaRDI QIDQ5295096

Ignacio Garcia, Roberto Scotto, Ursula M. Molter

Publication date: 27 July 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09019-3

zbMATH Keywords

packing measure

Mathematics Subject Classification ID

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

Related Items (11)

Borrowing strengh in hierarchical Bayes: posterior concentration of the Dirichlet base measure ⋮ Average Hewitt-Stromberg and box dimensions of typical compact metric spaces ⋮ GAP SEQUENCES OF GRAPH-DIRECTED SETS ⋮ Gap sequences of McMullen sets ⋮ Exact packing measure of central Cantor sets in the line ⋮ A joint multifractal analysis of vector valued non Gibbs measures ⋮ EXACT HAUSDORFF MEASURE OF CERTAIN NON-SELF-SIMILAR CANTOR SETS ⋮ Classifying Cantor sets by their fractal dimensions ⋮ Category and dimensions for cut-out sets ⋮ Improving dimension estimates for Furstenberg-type sets ⋮ Gap sequences of self-conformal sets

Cites Work

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• On the Hausdorff \(h\)-measure of Cantor sets
• Hausdorff measure of \(p\)-Cantor sets
• Packing Measure, and its Evaluation for a Brownian Path
• Two definitions of fractional dimension
• Sums of Cantor sets
• The exact Hausdorff dimension functions of some Cantor sets
• Sums of Cantor sets yielding an interval
• A closed dimensionless linear set
• On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure

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