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arxiv: 0910.4809 · v1 · submitted 2009-10-26 · 🧮 math.DS · math-ph· math.MP

Pure Point Dynamical and Diffraction Spectra

classification 🧮 math.DS math-phmath.MP
keywords pointpurediffractiondynamicalclustercomplexitydeloneequivalent
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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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