49 citations
- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO14 papers
- University of AlbertaCA11 papers
- Bielefeld UniversityDE6 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE6 papers
- Trent UniversityCA6 papers
- Friedrich Schiller University JenaDE4 papers
- Cross Cancer InstituteCA2 papers
- University of WaterlooCA2 papers
- Beijing Normal UniversityCN1 paper
- Catholic Kwandong UniversityKR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Computer Modelling Group (Canada)CA1 paper
5 papers · 1 filter
Pythagorean Triples in the Fibonacci Model Set
Sarah Marklund, Evangeline Tweddle
In this paper we give a description of all Pythagorean triples in the ring . We also consider triples in the Fibonacci model set which satisfy the Diophantine equat…
Spectrum of weak model sets with Borel windows
Gerhard Keller, Christoph Richard, Nicolae Strungaru
Consider the extended hull of a weak model set together with its natural shift action. Equip the extended hull with the Mirsky measure, which is a certain natural pattern frequency…
On arithmetic progressions in model sets
Anna Klick, Nicolae Strungaru, Adi Tcaciuc
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 f…
Modulated crystals and almost periodic measures
Jeong-Yup Lee, Daniel Lenz, Christoph Richard +2
Modulated crystals and quasicrystals can simultaneously be described as modulated quasicrystals, a class of point sets introduced by de Bruijn in 1987. With appropriate modulation…
On Weakly Almost Periodic Measures
Daniel Lenz, Nicolae Strungaru
We study the diffraction and dynamical properties of translation bounded weakly almost periodic measures. We prove that the dynamical hull of a weakly almost periodic measure is a…