Modulated crystals and almost periodic measures

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Title

Modulated crystals and almost periodic measures

Author(s) or Creator(s)
Lee, Jeong-Yup
Lenz, Daniel
Richard, Christoph
Sing, Bernd
Strungaru, Nicolae
Date

2020

Peer Reviewed?

No

Keywords

modulated quasicrystals
almost periodic measures

Description

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

Type of Item

Reports

Language

English

Location

https://roam.macewan.ca/islandora/object/gm:2711

Rights

All Rights Reserved

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