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arXiv · 1405.3013

On embedding of repetitive Meyer multiple sets into model multiple sets

Jean-baptiste Aujogue
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Abstract

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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Jean-baptiste Aujogue. 2014-05-13. On embedding of repetitive Meyer multiple sets into model multiple sets. https://doi.org/10.1017/etds.2014.133

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