On arithmetic progressions in model sets
Faculty Advisor
Date
2022
Keywords
arithmetic progressions, Meyer sets, model sets, cut-and-project schemes
Abstract (summary)
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.
Publication Information
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
Notes
Item Type
Post-print
Language
English
Rights
All Rights Reserved