The necessary and sufficient conditions for various self-similar sets and their dimension.

DOI10.1016/S0304-4149(00)00043-0zbMath1047.60028MaRDI QIDQ1879493

Dihe Hu

Publication date: 22 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionstatistically self-similar setsalmost sure self-similar setsstatistical contraction operatorsstatistically recursive sets

Mathematics Subject Classification ID

Stationary stochastic processes (60G10)

Related Items (2)

Fractals generated by statistical contraction operators ⋮ Quantization dimension of random self-similar measures

Cites Work

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• Random recursive construction of self-similar fractal measures. The noncompact case
• Statistically self-similar fractals
• The multifractal spectrum of statistically self-similar measures
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• The exact Hausdorff dimension in random recursive constructions

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