A short guide to pure point diffraction in cut-and-project sets

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Richard C, Strungaru N
Zeitschrift: Journal of Physics A: Mathematical and Theoretical
Jahr der Veröffentlichung: 2017
Band: 50
Heftnummer: 15
Seitenbereich: 154003
ISSN: 1751-8113
eISSN: 1751-8121


Abstract


We briefly review the diffraction of quasicrystals and then give an elementary alternative proof of the diffraction formula for regular cut-and-project sets, which is based on Bochner’s theorem from Fourier analysis. This clarifies a common view that the diffraction of a quasicrystal is determined by the diffraction of its underlying lattice. To illustrate our approach, we will also treat a number of well-known explicitly solvable examples.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Richard, Christoph Prof. Dr.
Lehrstuhl für Mathematische Stochastik


Zitierweisen

APA:
Richard, C., & Strungaru, N. (2017). A short guide to pure point diffraction in cut-and-project sets. Journal of Physics A: Mathematical and Theoretical, 50(15), 154003.

MLA:
Richard, Christoph, and Nicolae Strungaru. "A short guide to pure point diffraction in cut-and-project sets." Journal of Physics A: Mathematical and Theoretical 50.15 (2017): 154003.

BibTeX: 

Zuletzt aktualisiert 2019-06-03 um 14:38