Daniel Lenz, Nicolae Strungaru
Published 2014-12-23Version 1
We consider diffraction of Delone sets in Euclidean space. We show that the set of Bragg peaks with high intensity is always Meyer (if it is relatively dense). We use this to provide a new characterization for Meyer sets in terms of positive and positive definite measures. Our results are based on a careful study of positive definite measures, which may be of interest in its own right.
Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks
Almost Periodic Measures and Meyer Sets
On the Bragg Diffraction Spectra of a Meyer Set
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