Modulated crystals and almost periodic measures

Author
Lee, Jeong-Yup
Lenz, Daniel
Richard, Christoph
Sing, Bernd
Strungaru, Nicolae
Faculty Advisor
Date
2020
Keywords
modulated quasicrystals , almost periodic measures
Abstract (summary)
Modulated 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.
Publication Information
Lee, J., Lenz, D., Richard, C., Sing, B., Strungaru, N. (2020). Modulated crystals and almost periodic measures. arXiv:1907.07017v2. https://arxiv.org/abs/1907.07017
DOI
Notes
Item Type
Report
Language
English
Rights
All Rights Reserved