Height reducing property of polynomials and self-affine tiles

DOI10.1007/s10711-010-9550-3zbMath1228.11161OpenAlexW1978945887MaRDI QIDQ540490

Xing-Gang He, Ibrahim Kirat, Ka-Sing Lau

Publication date: 3 June 2011

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-010-9550-3

zbMATH Keywords

connectednessself-affine tilesexpanding polynomials

Mathematics Subject Classification ID

Fractals (28A80) Polynomials (irreducibility, etc.) (11R09)

Related Items (13)

A characterization of connected self-affine fractals arising from collinear digits ⋮ Self-affine tiles generated by a finite number of matrices ⋮ The connectedness of some two-dimensional self-affine sets ⋮ Connectedness of a class of two-dimensional self-affine tiles associated with triangular matrices ⋮ Some Recent Developments of Self-Affine Tiles ⋮ Connectedness of planar self-affine sets associated with non-consecutive collinear digit sets ⋮ Characterization of a class of planar self-affine tile digit sets ⋮ Spectral properties of self-similar measures with product-form digit sets ⋮ Connectedness of a class of planar self-affine tiles ⋮ On the connectedness of planar self-affine sets ⋮ Topological Properties of a Class of Higher-dimensional Self-affine Tiles ⋮ A class of self-affine tiles in \(\mathbb{R}^d\) that are \(d\)-dimensional tame balls ⋮ Connectedness of planar self-affine sets associated with non-collinear digit sets

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