Almost Sure Recovery in Quasi-periodic Structures

نویسندگان

چکیده

We study random perturbations of quasi-periodic uniformly discrete sets in the d-dimensional euclidean space. By means Diffraction Theory, we find conditions under which a set X can be almost surely recovered from its perturbations. This extends recent periodic case result Yakir (Int Math Res Notices 1–19, 2020).

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ژورنال

عنوان ژورنال: Journal of Statistical Physics

سال: 2022

ISSN: ['0022-4715', '1572-9613']

DOI: https://doi.org/10.1007/s10955-022-03059-2