On arithmetic progressions in model sets
Dynamical Systems
2021-01-27 v1 Mathematical Physics
math.MP
Abstract
In this project we show the existence of arbitrary length arithmetic progressions in model sets and Meyer sets in the Euclidean -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.
Cite
@article{arxiv.2003.13860,
title = {On arithmetic progressions in model sets},
author = {Anna Klick and Nicolae Strungaru and Adi Tcaciuc},
journal= {arXiv preprint arXiv:2003.13860},
year = {2021}
}
Comments
17 pages, 2 figures