Sums of Cantor sets yielding an interval

DOI10.1017/S1446788700009058zbMath1019.28002OpenAlexW2170695435MaRDI QIDQ4805993

Kathryn E. Hare, Carlos A. Cabrelli, Ursula M. Molter

Publication date: 21 September 2003

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

Full work available at URL: https://doi.org/10.1017/s1446788700009058

zbMATH Keywords

Cantor setsums of sets

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80)

Related Items (11)

Topological structure of the sum of two homogeneous Cantor sets ⋮ Dimension functions of Cantor sets ⋮ On the arithmetic difference of middle Cantor sets ⋮ Smoothness of Minkowski sum and generic rotations ⋮ On the Hausdorff dimension of pinned distance sets ⋮ Cantor Set Arithmetic ⋮ A joint multifractal analysis of vector valued non Gibbs measures ⋮ Continuity properties and the support of killed exponential functionals ⋮ On arithmetic sums of fractal sets in Rd ⋮ Invariant Measures for the n-Dimensional Border Collision Normal Form ⋮ On the measure of products from the middle-third Cantor set

Cites Work

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• An example of a regular Cantor set whose difference set is a Cantor set with positive measure
• On the sum and product of continued fractions
• Raikov Systems and Radicals in Convolution Measure Algebras
• Sums of Cantor sets
• Cantor sets and numbers with restricted partial quotients
• On the topological structure of the arithmetic sum of two Cantor sets
• On Central Cantor Sets with Self-Arithmetic Difference of Positive Lebesgue Measure
• On Sets of Multiplicity for Trigonometrical Series
• Stable intersections of regular Cantor sets with large Hausdorff dimensions

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