On arithmetic progressions in model sets

Author
Klick, Anna
Strungaru, Nicolae
Tcaciuc, Adi
Faculty Advisor
Strungaru, Nicolae
Date
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
DOI
Notes
Item Type
Student Report
Language
English
Rights
All Rights Reserved