A negative answer to a conjecture on self-similar sets with open set condition

DOI10.1007/s10496-009-0182-0zbMath1199.28021OpenAlexW2095805160WikidataQ123150278 ScholiaQ123150278MaRDI QIDQ3404924

Jian Dong Yin

Publication date: 12 February 2010

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-009-0182-0

zbMATH Keywords

Hausdorff measureself-similar setbest coveringnatural covering

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

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• The Hausdorff measure of the self-similar sets. The Koch curve
• An answer to a conjecture on self-similar sets
• Exact Hausdorff measure and intervals of maximum density for 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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