Proves L is k-dense iff L_n,lim is G_delta and constructs k-dense lattices with sigma_n(L_n,lim) equal to 0 or 1 via Khintchine-Groshev theorem.
and Ulanovskii, A.,Fourier quasicrystals with unit masses.Comptes Rendus Math´ ematique 358 (11-12) (2020) 1207–1211
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Topological and Diophantine properties of lattice subset projections
Proves L is k-dense iff L_n,lim is G_delta and constructs k-dense lattices with sigma_n(L_n,lim) equal to 0 or 1 via Khintchine-Groshev theorem.