Dimensions of cookie-cutter-like sets

DOI10.1007/BF02877068zbMath0997.28005OpenAlexW1514289543MaRDI QIDQ1609602

Hui Rao, Zhiying Wen, Ji-Hua Ma

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02877068

zbMATH Keywords

Hausdorff dimensionpacking dimensionpredimensioncookie-cutter-like setsGibbs-like measures

Mathematics Subject Classification ID

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

Related Items (6)

Gibbs-like measure for spectrum of a class of quasi-crystals ⋮ The equivalence of multifractal measures on cookie-cutter-like sets ⋮ The fractal dimensions of the spectrum of Sturm Hamiltonian ⋮ Cookie-Cutter-Like Sets with Graph-Directed Construction ⋮ Approximate self-similarity of a class of cookie-cutter-like sets ⋮ Dimension results for inhomogeneous Moran set constructions

Cites Work

• Some dimensional results for homogeneous Moran sets
• On the structures and dimensions of Moran sets
• Two definitions of fractional dimension
• Some Relations Between Packing Premeasure and Packing Measure
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