EXACT HAUSDORFF MEASURE OF CERTAIN NON-SELF-SIMILAR CANTOR SETS

DOI10.1142/S0218348X13500163zbMath1290.28015arXiv1312.1406MaRDI QIDQ5417517

Steen Pedersen, Jason D. Phillips

Publication date: 21 May 2014

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1406

zbMATH Keywords

Cantor setdensityHausdorff measurefractal setself-similar set

Mathematics Subject Classification ID

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

Related Items (8)

When the algebraic difference of two central Cantor sets is an interval? ⋮ 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 ⋮ On some generic small Cantor spaces ⋮ Arbitrarily high Hausdorff dimensions of continua ⋮ Families of symmetric Cantor sets from the category and measure viewpoints ⋮ The family of central Cantor sets with packing dimension zero ⋮ Porosity properties of perturbed Cantor sets

Cites Work

• On Lebesgue measure of integral self-affine sets
• There are no \(C^{1}\)-stable intersections of regular Cantor sets
• Hyperbolicity and the creation of homoclinic orbits
• On the Hausdorff \(h\)-measure of Cantor sets
• On the structure of the intersection of two middle third Cantor sets
• On intersections of Cantor sets: Hausdorff measure
• INTERSECTIONS OF CERTAIN DELETED DIGITS SETS
• Self-similar measures and intersections of Cantor sets
• Exact Hausdorff measure and intervals of maximum density for Cantor sets
• Random intersections of thick Cantor sets
• The Sizes of Rearrangements of Cantor Sets
• Dimension functions of Cantor sets
• Hausdorff measure of homogeneous Cantor set

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