Weighted \(1\times 1\) cut-and-project sets in bounded distance to a lattice

DOI10.1007/s00454-018-0005-1zbMath1498.52033arXiv1706.01089OpenAlexW2964167956MaRDI QIDQ2324630

Alexey I. Garber, Dirk Frettlöh

Publication date: 11 September 2019

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01089

zbMATH Keywords

cut-and-project setsbounded remainder setsbounded distance equivalence

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Irrationality; linear independence over a field (11J72) Relations between ergodic theory and number theory (37A44)

Cites Work

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• Two-symbol Pisot substitutions have pure discrete spectrum
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1

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