Construction of random fractal measures by branching processes

DOI10.1080/17442509208833775zbMath0762.60036OpenAlexW2069038499MaRDI QIDQ4018644

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Publication date: 16 January 1993

Published in: Stochastics and Stochastic Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442509208833775

zbMATH Keywords

branching processesHausdorff dimensionrandom contractionsbranching schemes with Gaussian translationsself-similar fractal measures

Mathematics Subject Classification ID

Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

The multifractal spectrum of statistically self-similar measures ⋮ Branching random walk with exponentially decreasing steps, and stochastically self-similar measures ⋮ Fourier asymptotics of statistically self-similar measures

Cites Work

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• Random recursive construction of self-similar fractal measures. The noncompact case
• Statistically self-similar fractals
• Random fractals