Deformation of delone dynamieal systems and pure point diffraction

Baake M, Lenz D (2005)
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 11(2): 125-150.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
This article deals with certain dynamical systems built from point sets and, more generally, measures on locally compact Abelian groups. These systems arise in the study of quasicrystals and aperiodic order and important subclasses of them exhibit pure point diffraction spectra. We discuss the relevant framework and recall fundamental results and examples. In particular, we show that pure point diffraction is stable under "equivariant" local perturbations and discuss various examples, including deformed model sets. A key step in the proof of stability consists in transforming the problem into a question on factors of dynamical systems.
Stichworte
order; dynamical systems; pure point spectra; deformed model sets; aperiodic
Erscheinungsjahr
2005
Zeitschriftentitel
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Band
11
Ausgabe
2
Seite(n)
125-150
ISSN
1069-5869
Page URI
https://pub.uni-bielefeld.de/record/1604447

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Baake M, Lenz D. Deformation of delone dynamieal systems and pure point diffraction. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. 2005;11(2):125-150.
Baake, M., & Lenz, D. (2005). Deformation of delone dynamieal systems and pure point diffraction. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 11(2), 125-150. https://doi.org/10.1007/s00041-005-4021-1
Baake, M., and Lenz, D. (2005). Deformation of delone dynamieal systems and pure point diffraction. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 11, 125-150.
Baake, M., & Lenz, D., 2005. Deformation of delone dynamieal systems and pure point diffraction. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 11(2), p 125-150.
M. Baake and D. Lenz, “Deformation of delone dynamieal systems and pure point diffraction”, JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 11, 2005, pp. 125-150.
Baake, M., Lenz, D.: Deformation of delone dynamieal systems and pure point diffraction. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. 11, 125-150 (2005).
Baake, Michael, and Lenz, D. “Deformation of delone dynamieal systems and pure point diffraction”. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 11.2 (2005): 125-150.

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