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arXiv · 2510.11061

A new description of uniformly spread discrete sets

A. Dudko·S. Favorov
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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.

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A. Dudko, S. Favorov. 2025-10-13. A new description of uniformly spread discrete sets. https://arxiv.org/abs/2510.11061

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