Self-similar structure on the intersection of middle-(1 − 2β) Cantor sets with β ∊ (1/3, 1/2)

DOI10.1088/0951-7715/21/12/010zbMath1210.28014OpenAlexW2098883088MaRDI QIDQ3548467

Yuru Zou, Jian Lu, Wenxia Li

Publication date: 12 December 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c981c6b355dad4180cf323b5503e6a52fe231729

zbMATH Keywords

Hausdorff dimensionself-similar setsintersectionmiddle Cantor sets

Mathematics Subject Classification ID

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

Related Items (9)

Generating iterated function systems of some planar self-similar sets ⋮ Generating iterated function systems for self-similar sets with a separation condition ⋮ Self-similar structure on intersection of cartesian product of Cantor triadic sets with their translations ⋮ A REMARK ON SELF-SIMILAR SUBSETS OF UNIFORM CANTOR SETS WITH SMALL HAUSDORFF DIMENSION ⋮ VISIBILITY OF CARTESIAN PRODUCTS OF CANTOR SETS ⋮ INTERSECTIONS OF TRANSLATION OF A CLASS OF SIERPINSKI CARPETS ⋮ SELF-SIMILARITY AND LIPSCHITZ EQUIVALENCE OF UNIONS OF CANTOR SETS ⋮ Dimension of the intersection of certain Cantor sets in the plane ⋮ Intersections of middle-α Cantor sets with a fixed translation

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