## On arithmetic progressions in model sets

##### Author
Klick, Anna
Strungaru, Nicolae
Strungaru, Nicolae
2020
##### Keywords
arithmetic progression , Meyer sets
##### Abstract (summary)
In this project we show the existence of arbitrary length arithmetic progressions in model sets and Meyer sets in the Euclidean d-space. We prove a van der Waerden type theorem for Meyer sets. We show that pure point 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. (2021). On arithmetic progressions in model sets. Discrete & Computational Geometry, 1–17. https://doi.org/10.1007/s00454-020-00252-6
Student Report
English