A new description of uniformly spread discrete sets
Metric Geometry
2025-10-14 v1
Abstract
We prove that each discrete set in the Euclidean space that has bounded changes under every translation is a bounded perturbation of a square lattice, i.e., a uniformly spread set in the sense of Laszkovich. In particular, the support of every Fourier quasicrystal with unit masses is uniformly spread.
Cite
@article{arxiv.2510.11061,
title = {A new description of uniformly spread discrete sets},
author = {A. Dudko and S. Favorov},
journal= {arXiv preprint arXiv:2510.11061},
year = {2025}
}
Comments
9 pages, 16 references