Modulated crystals and almost periodic measures

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dc.contributor.authorLee, Jeong-Yup
dc.contributor.authorLenz, Daniel
dc.contributor.authorRichard, Christoph
dc.contributor.authorSing, Bernd
dc.contributor.authorStrungaru, Nicolae
dc.date.accessioned2021-01-18
dc.date.accessioned2022-05-31T01:43:07Z
dc.date.available2022-05-31T01:43:07Z
dc.date.issued2020
dc.description.abstractModulated 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.
dc.format.extent420.86KB
dc.format.mimetypePDF
dc.identifier.citationLee, 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
dc.identifier.urihttps://hdl.handle.net/20.500.14078/2141
dc.languageEnglish
dc.language.isoen
dc.rightsAll Rights Reserved
dc.subjectmodulated quasicrystals
dc.subjectalmost periodic measures
dc.titleModulated crystals and almost periodic measures
dc.typeReport
dspace.entity.type
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