Random intersections of thick Cantor sets

DOI10.1090/S0002-9947-99-02464-2zbMath0941.28007OpenAlexW1529004018MaRDI QIDQ4699638

Roger Lee Kraft

Publication date: 17 November 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02464-2

zbMATH Keywords

thicknessdifference setsCantor sets

Mathematics Subject Classification ID

Fractals (28A80) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Dimension theory of smooth dynamical systems (37C45)

Related Items (11)

When the algebraic difference of two central Cantor sets is an interval? ⋮ Algebraic sums and products of univoque bases ⋮ Unique expansions and intersections of Cantor sets ⋮ Conditions for the difference set of a central Cantor set to be a Cantorval ⋮ EXACT HAUSDORFF MEASURE OF CERTAIN NON-SELF-SIMILAR CANTOR SETS ⋮ Intersecting nonhomogeneous Cantor sets with their translations ⋮ INTERSECTIONS OF TRANSLATION OF A CLASS OF SIERPINSKI CARPETS ⋮ Cantor sets arising from continued radicals ⋮ Sums of two homogeneous Cantor sets ⋮ Self-similar structure on intersection of homogeneous symmetric Cantor sets ⋮ Dimension of the intersection of certain Cantor sets in the plane

Cites Work

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• A Golden Cantor Set
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• What's the Difference between Cantor Sets?
• On the topological structure of the arithmetic sum of two Cantor sets
• Antimonotonicity: Concurrent creation and annihilation of periodic orbits

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