Rigidity of connected limit sets of conformal IFSs.

DOI10.1307/MMJ/1012409964zbMath1147.37340OpenAlexW2052400730MaRDI QIDQ1348880

R. Daniel Mauldin, Volker Mayer, Mariusz Urbański

Publication date: 20 May 2002

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1012409964

zbMATH Keywords

Riemann mapping theoreminfinite conformal iterated function systemsstructure of limit sets

Mathematics Subject Classification ID

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

Related Items (5)

On the structure of self-affine Jordan arcs in \(\mathbb{R}^2\) ⋮ The doubling property of conformal measures of infinite iterated function systems ⋮ Parametrizability of infinitely generated attractors ⋮ Random holomorphic iterations and degenerate subdomains of the unit disk ⋮ Finer geometric rigidity of limit sets of conformal IFS

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