Lee, Jeong-YupLenz, DanielRichard, ChristophSing, BerndStrungaru, Nicolae2021-01-182022-05-312022-05-312020Lee, J., Lenz, D., Richard, C., Sing, B., Strungaru, N. (2020). Modulated crystals and almost periodic measures. arXiv:1907.07017v2. https://arxiv.org/abs/1907.07017https://hdl.handle.net/20.500.14078/2141Modulated crystals and quasicrystals can simultaneously be described as modulated quasicrystals, a class of point sets introduced by de Bruijn in 1987. With appropriate modulation functions, modulated quasicrystals themselves constitute a substantial subclass of strongly almost periodic point measures. We re-analyse these structures using methods from modern mathematical diffraction theory, thereby providing a coherent view over that class. Similarly to de Bruijn's analysis, we find stability with respect to almost periodic modulations.420.86KBPDFenAll Rights Reservedmodulated quasicrystalsalmost periodic measuresReport