Hausdorff dimension of the arithmetic sum of self-similar sets

DOI10.1016/j.indag.2016.01.003zbMath1376.28005arXiv1411.0505OpenAlexW2963471676MaRDI QIDQ297975

Kan Jiang

Publication date: 20 June 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0505

zbMATH Keywords

Hausdorff dimensioniterated function systemfractalsself-similar setarithmetic suminfinite iterated function system

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (4)

ARITHMETIC ON MORAN SETS ⋮ MULTIPLE REPRESENTATIONS OF REAL NUMBERS ON SELF-SIMILAR SETS WITH OVERLAPS ⋮ Multiplication on self-similar sets with overlaps ⋮ ARITHMETIC PRODUCT OF SELF-SIMILAR SETS WITH TWO BRANCHES

Cites Work

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• Resonance between Cantor sets
• Self-similar measures and intersections of Cantor sets
• Infinite Iterated Function Systems
• On the topological structure of the arithmetic sum of two Cantor sets
• Dimensions and Measures in Infinite Iterated Function Systems
• On the arithmetic sums of Cantor sets
• Stable intersections of regular Cantor sets with large Hausdorff dimensions

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