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Almost sure recovery in quasi-periodic structures

Mircea PetracheRodolfo Viera
摘要
We study random perturbations of quasi-periodic Delone sets in the$d$-dimensional euclidean space. By means of Diffraction Theory, we findconditions under which a quasi-periodic set $X$ can be almost surely recoveredfrom its random perturbations. This extends the recent periodic case result ofYakir from "Recovery the lattice from its random perturbations" IMRN 2020(arXiv:200201508).
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