Dense Dirac combs in Euclidean space with pure point diffraction

Richard C (2003)


Publication Type: Journal article

Publication year: 2003

Journal

Publisher: American Institute of Physics (AIP)

Book Volume: 44

Pages Range: 4436-4449

Journal Issue: 10

DOI: 10.1063/1.1609032

Abstract

Regular model sets, describing the point positions of ideal quasicrystallographic tilings, are mathematical models of quasicrystals. An important result in mathematical diffraction theory of regular model sets, which are defined on locally compact Abelian groups, is the pure pointedness of the diffraction spectrum. We derive an extension of this result, valid for dense point sets in Euclidean space, which is motivated by the study of quasicrystallographic random tilings.

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How to cite

APA:

Richard, C. (2003). Dense Dirac combs in Euclidean space with pure point diffraction. Journal of Mathematical Physics, 44(10), 4436-4449. https://dx.doi.org/10.1063/1.1609032

MLA:

Richard, Christoph. "Dense Dirac combs in Euclidean space with pure point diffraction." Journal of Mathematical Physics 44.10 (2003): 4436-4449.

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