Periodicity and decidability of tilings of ℤ2

DOI10.1353/ajm.2020.0006zbMath1454.11125arXiv1602.05738OpenAlexW3002510247MaRDI QIDQ5218129

Siddhartha Bhattacharya

Publication date: 28 February 2020

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05738

zbMATH Keywords

decidabilitytilings

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tiling dynamics (37B52)

Related Items (12)

Spectral sets and tiles in \(\mathbb{Z}_p^2 \times \mathbb{Z}_q^2\) ⋮ Solution to a conjecture of Schmidt and Tuller on one-dimensional packings and coverings ⋮ Expansivity and periodicity in algebraic subshifts ⋮ On rationality of spectrums for spectral sets in \(\mathbb{R} \) ⋮ Undecidable translational tilings with only two tiles, or one nonabelian tile ⋮ The structure of translational tilings in $\mathbb{Z}^d$ ⋮ On forced periodicity of perfect colorings ⋮ The Coven-Meyerowitz tiling conditions for 3 odd prime factors ⋮ Max-norm Ramsey theory ⋮ An algebraic geometric approach to Nivat's conjecture ⋮ Combinatorial and harmonic-analytic methods for integer tilings ⋮ Periodic structure of translational multi-tilings in the plane

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