Spiral Delone sets and three distance theorem

DOI10.1088/1361-6544/ab74adzbMath1487.37050arXiv1904.10815OpenAlexW3106512753MaRDI QIDQ5019847

Shigeki Akiyama

Publication date: 11 January 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.10815

zbMATH Keywords

irrational rotationDelone setthree distance theorembadly approximable number

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Continued fractions (11A55) Distribution modulo one (11J71) Rotation numbers and vectors (37E45)

Related Items

Visibility properties of spiral sets ⋮ Sunflower hard disk graphs ⋮ Delone Sets Generated by Square Roots ⋮ Area convergence of Voronoi cells on spiral lattices ⋮ Higher dimensional spiral Delone sets

Cites Work

• Three distance theorems and combinatorics on words
• On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
• On successive settings of an arc on the circumference of a circle
• Automatic Sequences
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