Iterated function systems with non-distinct fixed points

DOI10.1016/j.jmaa.2011.05.023zbMath1232.28009OpenAlexW2005693279MaRDI QIDQ549854

Balázs Bárány

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.05.023

zbMATH Keywords

transversalityHausdorff dimensionself-similar setsbox-counting dimensionfractal geometry

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80)

Related Items (3)

Twofold Cantor sets in \(\mathbb R\) ⋮ On one-point intersection property for self-similar fractals ⋮ General position theorem and its applications

Cites Work

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• Hausdorff dimension of limit sets for parabolic IFS with overlaps.
• Self-similar sets of zero Hausdorff measure and positive packing measure
• On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
• Absolute continuity of Bernoulli convolutions, a simple proof
• Invariant measures for parabolic IFS with overlaps and random continued fractions
• Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure
• Self-similar measures and intersections of Cantor sets
• On the Hausdorff dimension of a family of self-similar sets with complicated overlaps
• ON THE DIMENSION OF SELF-SIMILAR SETS

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