Spectral notions of aperiodic order
Copyright policy )Spectral notions of aperiodic order
Various spectral notions have been employed to grasp the structure of point sets, in particular non-periodic ones. In this article, we present them in a unified setting and explain the relations between them. For the sake of readability, we use Delone sets in Euclidean space as our main object class, and give generalisations in the form of further examples and remarks.
32 pages, with 2 figures; review-style article
- Bielefeld University Germany
Dynamical Systems (math.DS), spectrum, di ff raction versus dynamical, Mathematics - Spectral Theory, distributions and measures, FOS: Mathematics, aperiodic order and quasicrystals, Mathematics - Dynamical Systems, Spectral Theory (math.SP), Symbolic and Delone dynamical systems, 37-02, 43-01, 52C23
Dynamical Systems (math.DS), spectrum, di ff raction versus dynamical, Mathematics - Spectral Theory, distributions and measures, FOS: Mathematics, aperiodic order and quasicrystals, Mathematics - Dynamical Systems, Spectral Theory (math.SP), Symbolic and Delone dynamical systems, 37-02, 43-01, 52C23
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