Self-similar structure on intersection of cartesian product of Cantor triadic sets with their translations

DOI10.1007/s00605-011-0312-6zbMath1251.28010OpenAlexW2081070654MaRDI QIDQ431181

Yuanyuan Yao, Wenxia Li

Publication date: 26 June 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0312-6

zbMATH Keywords

intersectioncartesian productCantor triadic setself-similar structure

Mathematics Subject Classification ID

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

Related Items (1)

Generating iterated function systems of some planar self-similar sets

Cites Work

• On the structures of generating iterated function systems of Cantor sets
• Self-similar structure on intersections of triadic Cantor sets
• Self-similar structure on intersection of homogeneous symmetric Cantor sets
• Self-similar structure on the intersection of middle-(1 − 2β) Cantor sets with β ∊ (1/3, 1/2)
• Resonance between Cantor sets

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