Modulated crystals and almost periodic measures
Lee JY, Lenz D, Richard C, Sing B, Strungaru N (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 110
Pages Range: 3435-3472
Journal Issue: 12
DOI: 10.1007/s11005-020-01337-2
Abstract
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-analyze these structures using methods from modern mathematical diffraction theory, thereby providing a coherent view over that class. Similar to de Bruijn’s analysis, we find stability with respect to almost periodic modulations.
Authors with CRIS profile
Involved external institutions
Catholic Kwandong University (CKU) / 가톨릭관동대학교
Korea, Republic of (KR)
Friedrich-Schiller-Universität Jena
Germany (DE)
University of the West Indies (UWI)
Jamaica (JM)
MacEwan University
Canada (CA)
Korea, Republic of (KR)
Friedrich-Schiller-Universität Jena
Germany (DE)
University of the West Indies (UWI)
Jamaica (JM)
MacEwan University
Canada (CA)
How to cite
APA:
Lee, J.Y., Lenz, D., Richard, C., Sing, B., & Strungaru, N. (2020). Modulated crystals and almost periodic measures. Letters in Mathematical Physics, 110(12), 3435-3472. https://dx.doi.org/10.1007/s11005-020-01337-2
MLA:
Lee, Jeong Yup, et al. "Modulated crystals and almost periodic measures." Letters in Mathematical Physics 110.12 (2020): 3435-3472.
BibTeX: Download