On the dimension of self-affine sets and measures with overlaps

DOI10.1090/proc/13121zbMath1350.28008arXiv1504.07138OpenAlexW2207859683MaRDI QIDQ2817019

Balázs Bárány, Michał Rams, Károly Simon

Publication date: 26 August 2016

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

Full work available at URL: https://arxiv.org/abs/1504.07138

zbMATH Keywords

Hausdorff dimensionself-affine measuresself-affine sets

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (10)

ON FRACTAL DIMENSIONS OF FRACTAL FUNCTIONS USING FUNCTION SPACES ⋮ Dimension of invariant measures for affine iterated function systems ⋮ Hausdorff dimension of planar self-affine sets and measures ⋮ The Lq$L^q$ spectrum of self‐affine measures on sponges ⋮ Dimension of the repeller for a piecewise expanding affine map ⋮ Hyperbolic graphs: Critical regularity and box dimension ⋮ On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems ⋮ On the dimension of triangular self-affine sets ⋮ Triangular Gatzouras–Lalley-type planar carpets with overlaps ⋮ Piecewise linear iterated function systems on the line of overlapping construction

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