Model sets with Euclidean internal space
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Date
2023-12-11
Profesor/a GuÃa
Facultad/escuela
Idioma
en
Journal Title
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Volume Title
Publisher
Cambridge University Press
Nombre de Curso
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Abstract
We give a characterization of inter-model sets with Euclidean internal space. This characterization is similar to previous results for general inter-model sets obtained independently by Baake, Lenz and Moody, and Aujogue. The new ingredients are two additional conditions. The first condition is on the rank of the abelian group generated by the set of internal differences. The second condition is on a flow on a torus defined via the address map introduced by Lagarias. This flow plays the role of the maximal equicontinuous factor in the previous characterizations.
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Indexación (Scopus)
Keywords
address map, dynamical systems, Euclidean internal space, inter-model sets, Meyer sets, transverse groupoid
Citation
Ergodic Theory and Dynamical Systems Volume 43, Issue 12, Pages 3897 - 3922 11 December 2023
DOI
10.1017/etds.2022.113