Model sets with Euclidean internal space
Dynamical Systems
2020-12-01 v1 Mathematical Physics
math.MP
Abstract
We give an almost dynamical 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 on the rank of the Abelian group generated by the set of internal difference and a flow on a torus defined via the address map introduced by Lagarias that play the role of the maximal equicontinuous factor in the previous characterizations.
Cite
@article{arxiv.2011.14449,
title = {Model sets with Euclidean internal space},
author = {Mauricio Allendes Cerda and Daniel Coronel},
journal= {arXiv preprint arXiv:2011.14449},
year = {2020}
}
Comments
27 pages