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arXiv · 0910.4446

Deforming Meyer sets

Jeong-Yup Lee·Robert V. Moody
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Abstract

A linear deformation of a Meyer set $M$ in $\RR^d$ is the image of $M$ under a group homomorphism of the group $[M]$ generated by $M$ into $\RR^d$. We provide a necessary and sufficient condition for such a deformation to be a Meyer set. In the case that the deformation is a Meyer set and the deformation is injective, the deformation is pure point diffractive if the orginal set $M$ is pure point diffractive.

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Jeong-Yup Lee, Robert V. Moody. 2009-10-23. Deforming Meyer sets. https://doi.org/10.1016/j.ejc.2008.01.016

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