The strong open set condition for self-conformal random fractals

DOI10.1090/S0002-9939-03-07077-1zbMath1025.28002MaRDI QIDQ4804088

Norbert Patzschke

Publication date: 10 April 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

self-similar setsrandom fractalsself-conformal sets(strong) open set conditionself-conformal random sets

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random measures (60G57) Fractals (28A80)

Related Items (1)

Irreducible fractal structures for Moran type theorems

Cites Work

• Statistically self-similar fractals
• Self-conformal multifractal measures
• Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• Random fractals
• Separation Properties for Self-Similar Sets
• The strong open set condition in the random case
• Random Self-Similar Multifractals

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