paper

Recovering the lattice from its random perturbations

arXiv:2002.01508

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.

arXiv comment18 pages, 3 figures. To appear in IMRN