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arXiv · 2112.11613

Almost sure recovery in quasi-periodic structures

Mircea Petrache·Rodolfo Viera
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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 from "Recovery the lattice from its random perturbations" IMRN 2020 (arXiv:200201508).

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Mircea Petrache, Rodolfo Viera. 2021-12-22. Almost sure recovery in quasi-periodic structures. https://doi.org/10.1007/s10955-022-03059-2

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