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arXiv · 1512.00650

Model sets, almost periodic patterns, uniform density and linear maps

Pierre-Antoine Guihéneuf
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Abstract

This article consists in two independent parts. In the first one, we investigate the geometric properties of almost periodicity of model sets (or cut-and-project sets, defined under the weakest hypotheses); in particular we show that they are almost periodic patterns and thus possess a uniform density. In the second part, we prove that the class of model sets and almost periodic patterns are stable under discretizations of linear maps.

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Pierre-Antoine Guihéneuf. 2015-12-02. Model sets, almost periodic patterns, uniform density and linear maps. https://arxiv.org/abs/1512.00650

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