Sum of Cantor sets: Self-similarity and measure

DOI10.1090/S0002-9939-99-05107-2zbMath0939.28005OpenAlexW1649949695MaRDI QIDQ4257663

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Publication date: 31 August 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05107-2

zbMATH Keywords

Hausdorff dimensioniterated function systemHausdorff measureIFSself-similar sethomogeneous Cantor setsum of Cantor sets

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (5)

Topological structure of the sum of two homogeneous Cantor sets ⋮ On the arithmetic difference of middle Cantor sets ⋮ Stable intersection of affine Cantor sets defined by two expanding maps ⋮ Cantor set as a fractal and its application in detecting chaotic nature of piecewise linear maps ⋮ On the structure of arithmetic sums of Cantor sets associated with series

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