Pure Point Diffraction and Almost Periodicity
Abstract This article deals with pure point diffraction and its connection to various notions of almost periodicity. We explain why the Fibonacci chain does not fit into the classical concept of Bohr almost periodicity and how it fits into the classes of mean, Besicovitch and Weyl almost periodic point sets. We report on recent results which characterize pure point diffraction as mean almost periodicity of the underlying structure, and discuss how the complex amplitudes fit into this picture.
Authors
- Timo Spindeler (ORCID: https://orcid.org/0000-0003-2257-0795)
- Daniel Lenz (ORCID: https://orcid.org/0000-0001-7237-6793)
- Nicolae Strungaru (ORCID: https://orcid.org/0000-0001-5833-5397)
Institutions
- Bielefeld University (DE)
- Romanian Academy (RO)
- Friedrich Schiller University Jena (DE)
- MacEwan University (CA)
Publication Details
- Journal
- Israel Journal of Chemistry
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1002/ijch.202300158
- Citations
- 2
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- article
- Field-Weighted Citation Impact
- 0.23
Funders
- Deutsche Forschungsgemeinschaft
- Natural Sciences and Engineering Research Council of Canada