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Hausdorff dimension of self-affine limit sets with an invariant direction

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Publication:939273
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DOI10.3934/dcds.2008.21.1015zbMath1155.28004OpenAlexW2317869463MaRDI QIDQ939273

Krzysztof Barański

Publication date: 22 August 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2008.21.1015


zbMATH Keywords

Hausdorff dimensioniterated function systemSierpinski triangle


Mathematics Subject Classification ID

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


Related Items (6)

An inequality for the matrix pressure function and applications ⋮ Fast approximation of the affinity dimension for dominated affine iterated function systems ⋮ The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result ⋮ Assouad dimension of planar self-affine sets ⋮ On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems ⋮ Triangular Gatzouras–Lalley-type planar carpets with overlaps




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