Sums of two self-similar Cantor sets

DOI10.1016/J.JMAA.2019.04.051zbMath1416.28006arXiv1808.05758OpenAlexW2962971437WikidataQ128027294 ScholiaQ128027294MaRDI QIDQ2314850

Yuki Takahashi

Publication date: 30 July 2019

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

Full work available at URL: https://arxiv.org/abs/1808.05758

zbMATH Keywords

Hausdorff dimensionCantor setsself-similar sets

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80)

Related Items (3)

When the algebraic difference of two central Cantor sets is an interval? ⋮ Conditions for the difference set of a central Cantor set to be a Cantorval ⋮ On arithmetic sums of fractal sets in Rd

Cites Work

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• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian
• On the sum and product of continued fractions
• Sums of two homogeneous Cantor sets
• Sums of regular Cantor sets, dynamics and applications to number theory
• Stable intersections of regular Cantor sets with large Hausdorff dimensions

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