Model sets with Euclidean internal space

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dc.catalogadorpau
dc.contributor.authorAllendes Cerda, Mauricio
dc.contributor.authorCoronel, Daniel
dc.date.accessioned2023-07-13T19:48:11Z
dc.date.available2023-07-13T19:48:11Z
dc.date.issued2023
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.
dc.fechaingreso.objetodigital2023-07-12
dc.format.extent26 páginas
dc.fuente.origenCambridge University Press
dc.identifier.doi10.1017/etds.2022.113
dc.identifier.issn0143-3857
dc.identifier.urihttps://doi.org/10.1017/etds.2022.113
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74171
dc.information.autorucFacultad de Matemáticas; Coronel, Daniel; 0000-0002-2159-0228; 1007840
dc.language.isoen
dc.nota.accesoContenido completo
dc.revistaErgodic Theory and Dynamical Systems
dc.rightsacceso abierto
dc.rights.licenseAttribution 4.0 International (CC BY 4.0)
dc.rights.urihttp://creativecommons.org/licenses/by/4.0)
dc.subjectMeyer sets
dc.subjectAddress map
dc.subjectDynamical systems
dc.subjectTransverse groupoid
dc.subjectInter-model sets
dc.subjectEuclidean internal space
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.subject.ods09 Industry, innovation and infrastructure
dc.subject.odspa09 Industria, innovación e infraestructura
dc.titleModel sets with Euclidean internal spacees_ES
dc.typeartículo
sipa.codpersvinculados1007840
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