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

DOI10.1007/BF01192554zbMath0723.60040MaRDI QIDQ756845

Matthias Arbeiter

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

Lipschitz mapsself-similar random limit measureself-similarity of sets

Mathematics Subject Classification ID

Sample path properties (60G17)

Related Items (13)

Self-similar random measures are locally scale invariant ⋮ The necessary and sufficient conditions for various self-similar sets and their dimension. ⋮ Hausdorff dimension of random fractals with overlaps ⋮ Dimensions for random self—Conformal sets ⋮ Random fractals and tree-indexed Markov chains ⋮ Construction of random fractal measures by branching processes ⋮ Modeling Uncertainty and Nonlinearity by Probabilistic Metric Spaces ⋮ Multifractal analysis of infinite products of stationary jump processes ⋮ Random Self-Similar Multifractals ⋮ Random Markov-self-similar measures. ⋮ Branching random walk with exponentially decreasing steps, and stochastically self-similar measures ⋮ Hausdorff dimensions of random net fractals ⋮ Fourier asymptotics of statistically self-similar measures

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• Random fractals
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• Self‐Similar Random Measures III – Self‐Similar Random Processes
• Self‐Similar Random Measures. II A Generalization to Self‐Affine Measures
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