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Recovering the Lattice From Its Random Perturbations.

Authors :
Yakir, Oren
Source :
IMRN: International Mathematics Research Notices. Apr2022, Vol. 2022 Issue 8, p6243-6261. 19p.
Publication Year :
2022

Abstract

Given a |$d$| -dimensional Euclidean lattice we consider the random set obtained by adding an independent Gaussian vector to each of the lattice points. In this note we provide a simple procedure that recovers the lattice from a single realization of the random set. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*RANDOM sets
*RIESZ spaces

Details

Language :
English
ISSN :
10737928
Volume :
2022
Issue :
8
Database :
Academic Search Index
Journal :
IMRN: International Mathematics Research Notices
Publication Type :
Academic Journal
Accession number :
156290484
Full Text :
https://doi.org/10.1093/imrn/rnaa316
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