Graph-directed iterated function systems with overlaps

DOI10.1512/iumj.2004.53.2342zbMath1065.28003OpenAlexW2032023145MaRDI QIDQ4821691

Manav Das, Sze-Man Ngai

Publication date: 21 October 2004

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2004.53.2342

zbMATH Keywords

Hausdorff dimensionbox dimensionself-similar setsiterated function systemsoverlapsgraph-directed

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (16)

Contractive affine generalized iterated function systems which are topologically contracting ⋮ BOHR’S FORMULA FOR ONE-DIMENSIONAL SCHRÖDINGER OPERATORS DEFINED BY SELF-SIMILAR MEASURES WITH OVERLAPS ⋮ Conformal iterated function systems with overlaps ⋮ A generalized finite type condition for iterated function systems ⋮ Spectral asymptotics of one-dimensional fractal Laplacians in the absence of second-order identities ⋮ An application of Edelstein's contraction principle: the attractor of a graph-directed generalized iterated function system ⋮ Separation conditions for iterated function systems with overlaps on Riemannian manifolds ⋮ \(p\)-adic path set fractals and arithmetic ⋮ Contraction ratios for graph-directed iterated constructions ⋮ FRACTAL GEOMETRY OF EQUILIBRIUM PAYOFFS IN DISCOUNTED SUPERGAMES ⋮ Eigenvalue asymptotics and Bohr's formula for fractal Schrödinger operators ⋮ Applications of multivalued contractions on graphs to graph-directed iterated function systems ⋮ Rare events for Cantor target sets ⋮ Separation properties for graph-directed self-similar fractals ⋮ Interpolation type iterated function systems ⋮ RESONANCE BETWEEN SELF-SIMILAR SETS AND THEIR UNIVOQUE SETS

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