Exceptional sets for self-affine fractals

DOI10.1017/S0305004108001576zbMath1158.28002OpenAlexW2149274071MaRDI QIDQ3542111

Jun Miao, Kenneth J. Falconer

Publication date: 28 November 2008

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

Full work available at URL: https://doi.org/10.1017/s0305004108001576

zbMATH Keywords

Hausdorff dimensionself-affine setIterated function systemexceptional set of parametersFourier dimension.

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (9)

Dimensions of projected sets and measures on typical self-affine sets ⋮ Random affine code tree fractals: Hausdorff and affinity dimensions and pressure ⋮ On the dimensions of a family of overlapping self-affine carpets ⋮ A topological separation condition for fractal attractors ⋮ Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups ⋮ Dimensional results for Cartesian products of homogeneous Moran sets ⋮ Exceptional sets for self-similar fractals in Carnot groups ⋮ Local dimensions of measures on infinitely generated self-affine sets ⋮ Self-affine Sets and the Continuity of Subadditive Pressure

Cites Work

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• Hausdorff dimension for randomly perturbed self affine attractors
• Fourier asymptotics of statistically self-similar measures
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
• Measure and dimension for some fractal families

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