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A new description of uniformly spread discrete sets (2510.11061v1)

Published 13 Oct 2025 in math.MG

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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