Recovering the lattice from its random perturbations
Probability
2020-10-14 v2 Classical Analysis and ODEs
Abstract
Given a -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.
Cite
@article{arxiv.2002.01508,
title = {Recovering the lattice from its random perturbations},
author = {Oren Yakir},
journal= {arXiv preprint arXiv:2002.01508},
year = {2020}
}
Comments
18 pages, 3 figures. To appear in IMRN