Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors

DOI10.1090/S0002-9939-09-10139-9zbMath1189.37018arXiv0807.2907MaRDI QIDQ3550577

María Isabel Cortez, Fabien Durand, Samuel Petite

Publication date: 31 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2907

zbMATH Keywords

Delone setsfactor mapstiling systemsVoronoï celllinearly repetitive

Mathematics Subject Classification ID

Related Items (5)

Discrepancy and rectifiability of almost linearly repetitive Delone sets ⋮ Dynamical versus diffraction spectrum for structures with finite local complexity ⋮ Squirals and beyond: substitution tilings with singular continuous spectrum ⋮ A characterization of linearly repetitive cut and project sets ⋮ Tiling deformations, cohomology, and orbit equivalence of tiling spaces

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• Factor maps between tiling dynamical systems
• Dynamics of self-similar tilings
• Repetitive Delone sets and quasicrystals
• Linearly recurrent subshifts have a finite number of non-periodic subshift factors

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