Model Sets with Euclidean internal Space

dc.contributor.authorAllendes Cerda, Mauricio
dc.contributor.authorCoronel, Daniel
dc.date.accessioned2025-01-17T15:25:54Z
dc.date.available2025-01-17T15:25:54Z
dc.date.issued0022-11-07
dc.descriptionINDEXACION SCOPUS
dc.description.abstractWe 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. © The Author(s), 2023. Published by Cambridge University Press.
dc.identifier.doi10.1017/etds.2022.113
dc.identifier.issn01433857
dc.identifier.urihttps://repositorio.unab.cl/handle/ria/63043
dc.language.isoen
dc.publisherCambridge University Press
dc.rights.licenseCC BY LICENSE
dc.subjectaddress map; dynamical systems; Euclidean internal space; inter-model sets; Meyer sets; transverse groupoid
dc.titleModel Sets with Euclidean internal Space
dc.typeArtículo
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