Hausdorff dimensions of random net fractals

DOI10.1016/S0304-4149(97)00104-XzbMath0930.28005OpenAlexW1513897702WikidataQ127957261 ScholiaQ127957261MaRDI QIDQ1805754

Jin-Rong Liang, Fu-Yao Ren

Publication date: 18 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0304-4149(97)00104-x

zbMATH Keywords

Hausdorff dimensionrandom cookie-cutter setrandom net fractalsrandom self-similar fractals

Mathematics Subject Classification ID

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

Related Items

Hausdorff dimension of random fractals with overlaps ⋮ Dimensions for random self—Conformal sets ⋮ Random Markov-self-similar measures.

Cites Work

• Random recursive construction of self-similar fractal measures. The noncompact case
• Generalized random ergodic theorems and Hausdorff-measures of random fractals
• A remark on random fractals
• Statistically self-similar fractals
• Markov-self-similar sets
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• Iterated function systems and the global construction of fractals
• Random fractals
• The exact Hausdorff dimension in random recursive constructions
• Sell‐Similar Random Measures. IV – The Recursive Construction Model of Falconer, Graf, and Mauldin and Williams
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