Mathematics - Student Works
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Browsing Mathematics - Student Works by Author "Klick, Anna"
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Item Diffraction of fully Euclidean model sets(2021) Klick, Anna; Strungaru, NicolaeWe provide a elementary proof, using only the Poisson summation formula and theory of tempered distributions, of the well-known fact that fully Euclidean regular model sets produce a pure point diffraction measure.Item On arithmetic progressions in model sets(2022) Klick, Anna; Strungaru, Nicolae; Tcaciuc, AdiWe 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.