Almost Sure Recovery in Quasi-periodic Structures
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Date
2023
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Abstract
We study random perturbations of quasi-periodic uniformly discrete sets in the d-dimensional euclidean space. By means of Diffraction Theory, we find conditions under which a quasi-periodic set X can be almost surely recovered from its random perturbations. This extends the recent periodic case result of Yakir (Int Math Res Notices 1-19, 2020).
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Uniformly discrete set, Quasi-crystals, Mathematical diffraction, Stationary process, Mixing