Morphisms from non-periodic $\mathbb{Z}^2$ subshifts II: constructing homomorphisms to square-filling mixing shifts of finite type

DOI10.1017/S0143385704000276zbMath1069.37011OpenAlexW2061985043MaRDI QIDQ3159921

Samuel J. Lightwood

Publication date: 1 February 2005

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

Full work available at URL: https://doi.org/10.1017/s0143385704000276

zbMATH Keywords

entropyembeddinghomomorphismmixingVoronoi tiling\(\mathbb Z^2\) subshiftDelaunay polygonKrieger's embedding theorem

Mathematics Subject Classification ID

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Factor maps and embeddings for random \(\mathbb{Z}^d\) shifts of finite type ⋮ Mean dimension of \({\mathbb{Z}^k}\)-actions ⋮ Random \(\mathbb{Z}^d\)-shifts of finite type ⋮ Subsystem entropy for \(\mathbb {Z}^{d}\) sofic shifts ⋮ A class of $\mathbb {Z}^d$ shifts of finite type which factors onto lower entropy full shifts ⋮ A note on the uniform filling property and strong irreducibility ⋮ Embedding minimal dynamical systems into Hilbert cubes ⋮ Weak equivalence for shifts of finite type ⋮ Approximating the hard square entropy constant with probabilistic methods ⋮ Multidimensional sofic shifts without separation and their factors ⋮ Subsystems of finite type and semigroup invariants of subshifts ⋮ Application of signal analysis to the embedding problem of \({\mathbb{Z}}^k\)-actions ⋮ Verification of mixing properties in two-dimensional shifts of finite type ⋮ Pattern generation problems arising in multiplicative integer systems

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