Some results on the upper convex densities for the self-similar sets

DOI10.1016/j.jmaa.2010.10.018zbMath1214.28008OpenAlexW2084840881MaRDI QIDQ615947

Shaoyuan Xu, Zuo Ling Zhou

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.018

zbMATH Keywords

Sierpiński gasketself-similar setupper convex densityHausdorff measure and Hausdorff dimension

Mathematics Subject Classification ID

Fractals (28A80)

Cites Work

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• Every set of finite Hausdorff measure is a countable union of sets whose Hausdorff measure and content coincide
• Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: a brief survey of recent results
• Density Theorems for Measures of Hausdorff Type

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