On the connectedness of self-affine attractors

DOI10.1007/s00013-003-4820-zzbMath1063.37008OpenAlexW2008312956MaRDI QIDQ1881521

Shigeki Akiyama, Nertila Gjini

Publication date: 5 October 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-4820-z

zbMATH Keywords

Pisot numbersself-affine tiling

Mathematics Subject Classification ID

Fractals (28A80) Combinatorial aspects of tessellation and tiling problems (05B45) Symbolic dynamics (37B10) Automata sequences (11B85)

Related Items (17)

Dynamical directions in numeration ⋮ The properties of a family of tiles with a parameter ⋮ Structure of planar integral self-affine tilings ⋮ The connectedness of some two-dimensional self-affine sets ⋮ Topological properties of a class of self-affine tiles in $\mathbb {R}^3$ ⋮ A class of self-affine tiles in \(\mathbb{R}^3\) that are tame balls revisited ⋮ Connectedness of a class of two-dimensional self-affine tiles associated with triangular matrices ⋮ Surface Dimension, Tiles, and Synchronizing Automata ⋮ Connectedness of a class of planar self-affine tiles ⋮ Height reducing property of polynomials and self-affine tiles ⋮ On substitution invariant Sturmian words: an application of Rauzy fractals ⋮ On the connectedness of planar self-affine sets ⋮ On Salem numbers, expansive polynomials and Stieltjes continued fractions ⋮ On self-affine tiles whose boundary is a sphere ⋮ 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 ⋮ Disklikeness of planar self-affine tiles

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