论文标题
具有欧几里得内部空间的模型集
Model sets with Euclidean internal space
论文作者
论文摘要
我们给出了与欧几里得内部空间的模型间几乎动态的表征。这种表征类似于通过Baake，Lenz和Moody和Aujogue独立获得的一般模型集的先前结果。新成分是由内部差异集和通过Lagarias引入的地址图定义的圆环产生的Abelian组等级的两个其他条件，这些条件在先前的特征中起着最大等效因子的作用。
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.
