On arithmetic progressions in model sets
| dc.contributor.author | Klick, Anna | |
| dc.contributor.author | Strungaru, Nicolae | |
| dc.contributor.author | Tcaciuc, Adi | |
| dc.date.accessioned | 2020-04-27 | |
| dc.date.accessioned | 2022-05-31T00:59:41Z | |
| dc.date.available | 2022-05-31T00:59:41Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We establish the existence of arbitrary-length arithmetic progressions in model sets and Meyer sets in Euclidean d-space. We prove a van der Waerden-type theorem for Meyer sets. We show that subsets of Meyer sets with positive density and pure point diffraction contain arithmetic progressions of arbitrary length. | |
| dc.format.extent | 509.62KB | |
| dc.format.mimetype | ||
| dc.identifier.citation | Klick, A., Strungaru, N., & Tcaciuc, A. (2022). On arithmetic progressions in model sets. Discrete & Computational Geometry, 67, 930-946. https://doi.org/10.1007/s00454-020-00252-6 | |
| dc.identifier.doi | https://doi.org/10.1007/s00454-020-00252-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/1531 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | All Rights Reserved | |
| dc.subject | arithmetic progressions | |
| dc.subject | Meyer sets | |
| dc.subject | model sets | |
| dc.subject | cut-and-project schemes | |
| dc.title | On arithmetic progressions in model sets | en |
| dc.type | Post-print | |
| dspace.entity.type |
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