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On arithmetic progressions in model sets

Faculty Advisor

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