Finer geometric rigidity of limit sets of conformal IFS

DOI10.1090/S0002-9939-03-07216-2zbMath1090.37022MaRDI QIDQ4425404

Mariusz Urbański, Volker Mayer

Publication date: 10 September 2003

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

zbMATH Keywords

Hausdorff dimensioninfinite conformal iterated function systemsconformal expanding repellers

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Iteration theory, iterative and composite equations (39B12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (3)

Self-affine sets in analytic curves and algebraic surfaces ⋮ Dimension rigidity in conformal structures ⋮ On arithmetic sums of fractal sets in Rd

Cites Work

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• On the structure of self-similar fractals
• Harmonic Measure Versus Hausdorff Measures on Repellers for Holomorphic Maps
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• Dimensions and Measures in Infinite Iterated Function Systems
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