Cookie-Cutter-Like Sets with Graph-Directed Construction

DOI10.1007/978-0-8176-8400-6_12zbMath1268.28015OpenAlexW53728612MaRDI QIDQ4928891

Shen Fan, Qing-Hui Liu, Zhi-Ying Wen

Publication date: 19 June 2013

Published in: Further Developments in Fractals and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-8400-6_12

zbMATH Keywords

Hausdorff dimensiondiscrete Schrödinger operatorsbox dimensionpacking dimensionfractalsgraph-directed constructioncookie-cutter-like construction

Mathematics Subject Classification ID

Fractals (28A80) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Hausdorff and packing measures (28A78)

Cites Work

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• Dimensions of cookie-cutter-like sets
• On dimensions of multitype Moran sets
• Hausdorff Dimension in Graph Directed Constructions
• Two definitions of fractional dimension
• Some Relations Between Packing Premeasure and Packing Measure

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