关于重复Meyer重集嵌入到模型重集中
On embedding of repetitive Meyer multiple sets into model multiple sets
摘要：
模型集总是迈耶集，但反过来一般不成立。在这项工作中，我们表明，对于一个重复的Meyer多重集的$\mathbb{R}^d$与相关的动力系统$(\mathbb{X}, \mathbb{R}^d)$，作为一个模型多重集的属性是等价的$(\mathbb{X}, \mathbb{R}^d)$几乎自守。我们推导出这表明，重复的迈耶多重集总是可以嵌入到一个重复的模型多重集具有较小的一组拓扑特征值。
英文摘要：
Model sets are always Meyer sets but the converse is generally not true. In this work we show that for a repetitive Meyer multiple sets of $\mathbb{R}^d$ with associated dynamical system $(\mathbb{X}, \mathbb{R}^d)$, the property of being a model multiple set is equivalent for $(\mathbb{X}, \mathbb{R}^d)$ to be almost automorphic. We deduce this by showing that a repetitive Meyer multiple set can always be embedded into a repetitive model multiple set having a smaller group of topological eigenvalues.
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