Local structure of self-affine sets

DOI10.1017/S0143385712000326zbMath1290.28010arXiv1104.0088WikidataQ110213807 ScholiaQ110213807MaRDI QIDQ2873987

Christoph Bandt, Antti Käenmäki

Publication date: 28 January 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0088

zbMATH Keywords

Hausdorff metricCantor setattractorlocal structureself-affine settangent set

Mathematics Subject Classification ID

Fractals (28A80)

Related Items

Assouad dimension of self-affine carpets ⋮ Dynamics of the scenery flow and conical density theorems ⋮ Locally rich compact sets ⋮ Self-affine sets with fibred tangents ⋮ Self-embeddings of Bedford–McMullen carpets ⋮ Scaling scenery of \((\times m, \times n)\) invariant measures ⋮ Assouad dimension of planar self-affine sets ⋮ Visible part of dominated self-affine sets in the plane ⋮ Structure of distributions generated by the scenery flow ⋮ Fractal Geometry of Bedford-McMullen Carpets

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