Deforming Meyer sets

Details Deforming Meyer sets Deforming Meyer sets

2009-10-23

arxiv.org/abs/0910.4446v1

European J. Combin. 29 (2008), no. 8, 1919--1924

Mathematics

Metric Geometry

6 pages

Scientific paper

10.1016/j.ejc.2008.01.016

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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