Separation properties for graph-directed self-similar fractals

DOI10.1016/J.TOPOL.2004.08.019zbMath1094.28006OpenAlexW2068594583MaRDI QIDQ2566261

G. A. Edgar, Manav Das

Publication date: 22 September 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.08.019

zbMATH Keywords

iterated function systemIFSfinite typeweak separationgraph-directed self-similar fractals

Mathematics Subject Classification ID

Fractals (28A80) Special maps on metric spaces (54E40) Hausdorff and packing measures (28A78)

Related Items (10)

The Hausdorff dimension of sections ⋮ Euclidean realizations of Mauldin-Williams graphs ⋮ An application of Edelstein's contraction principle: the attractor of a graph-directed generalized iterated function system ⋮ Assouad dimension and local structure of self-similar sets with overlaps in \(\mathbb{R}^d\) ⋮ INTERSECTIONS OF SELF-SIMILAR SETS ⋮ CONTINUITY OF THE HAUSDORFF DIMENSION FOR GRAPH-DIRECTED SYSTEMS ⋮ Infinite graph-directed systems and Hausdorff dimension ⋮ Contraction ratios for graph-directed iterated constructions ⋮ Tilings from graph directed iterated function systems ⋮ SEPARATION PROPERTIES FOR ITERATED FUNCTION SYSTEMS OF BOUNDED DISTORTION

Cites Work

• Unnamed Item
• Multifractal measures and a weak separation condition
• Iterated function systems of finite type and the weak separation property
• HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
• Hausdorff Dimension in Graph Directed Constructions
• Weak separation properties for self-similar sets
• Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure
• Separation Properties for Self-Similar Sets
• Graph-directed iterated function systems with overlaps

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