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Modulated crystals and quasicrystals can simultaneously be described asmodulated quasicrystals, a class of point sets introduced by de Bruijn in 1987.With appropriate modulation functions, modulated quasicrystals themselvesconstitute a substantial subclass of strongly almost periodic point measures.We re-analyse these structures using methods from modern mathematicaldiffraction theory, thereby providing a coherent view over that class.Similarly to de Bruijn's analysis, we find stability with respect to almostperiodic modulations.

Modulated crystals and almost periodic measures