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Paper detail

Pure point diffractive substitution Delone sets have the Meyer property

We prove that a primitive substitution Delone set, which is pure point diffractive, is a Meyer set. This answers a question of J. C. Lagarias. We also show that for primitive substitution Delone sets, being a Meyer set is equivalent to having a relatively dense set of Bragg peaks. The proof is based on tiling dynamical systems and the connection between the diffraction and dynamical spectra.

preprint2006arXivOpen access
Jeong-Yup LeeBoris Solomyak
math.DS
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Jeong-Yup LeeBoris Solomyak

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