An equivalent condition for the self similar sets on the real line to have best coverings

DOI10.1007/s10114-013-1348-4zbMath1292.28011OpenAlexW1526595070MaRDI QIDQ383615

Jian Dong Yin, Zuo Ling Zhou

Publication date: 5 December 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1348-4

zbMATH Keywords

open set conditionbest coveringself similar setupper convex density

Mathematics Subject Classification ID

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

Cites Work

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• Self-similar sets with optimal coverings and packings
• On the structures of generating iterated function systems of Cantor sets
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• The Hausdorff measure of some Sierpiński carpets
• A negative answer to a conjecture on self-similar sets with open set condition
• A new estimate of the Hausdorff measure of the Sierpinski gasket
• Computability of the Hausdorff and packing measures on self-similar sets and the self-similar tiling principle
• Exact packing measure of linear Cantor sets
• Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: a brief survey of recent results

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