Pure point dynamical and diffraction spectra

J. Y. Lee; R. V. Moody; B. Solomyak

doi:10.1007/s00023-002-8646-1

Pure point dynamical and diffraction spectra

J. Y. Lee
, R. V. Moody
, B. Solomyak

University of Alberta
University of Washington

Research output: Contribution to journal › Article › peer-review

122 Scopus citations

Abstract

We show that for multi-colored Delone point sets with finite local complexity and uniform cluster frequencies the notions of pure point diffraction and pure point dynamical spectrum are equivalent.

Original language	English
Pages (from-to)	1003-1018
Number of pages	16
Journal	Annales Henri Poincare
Volume	3
Issue number	5
DOIs	https://doi.org/10.1007/s00023-002-8646-1
State	Published - 2002
Externally published	Yes

Bibliographical note

Funding Information:
∗RVM acknowledges on-going support from the Natural Sciences and Engineering Council of Canada. †BS acknowledges support from NSF grants DMS 9800786 and DMS 0099814.

Funding

∗RVM acknowledges on-going support from the Natural Sciences and Engineering Council of Canada. †BS acknowledges support from NSF grants DMS 9800786 and DMS 0099814.

Funders	Funder number
National Science Foundation	DMS 0099814, DMS 9800786
Directorate for Mathematical and Physical Sciences	0099814, 9800786
Natural Sciences and Engineering Research Council of Canada

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10.1007/s00023-002-8646-1

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AU - Moody, R. V.

AU - Solomyak, B.

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N2 - We show that for multi-colored Delone point sets with finite local complexity and uniform cluster frequencies the notions of pure point diffraction and pure point dynamical spectrum are equivalent.

AB - We show that for multi-colored Delone point sets with finite local complexity and uniform cluster frequencies the notions of pure point diffraction and pure point dynamical spectrum are equivalent.

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Pure point dynamical and diffraction spectra

Abstract

Bibliographical note

Funding

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