Allendes Cerda, MauricioCoronel, Daniel2023-12-272023-12-272023-12-11Ergodic Theory and Dynamical Systems Volume 43, Issue 12, Pages 3897 - 3922 11 December 20230143-3857https://repositorio.unab.cl/xmlui/handle/ria/54547Indexación (Scopus)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.enaddress mapdynamical systemsEuclidean internal spaceinter-model setsMeyer setstransverse groupoidModel sets with Euclidean internal spaceArtÃculo10.1017/etds.2022.113