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math.MG2023
On direct and inverse limits of Minkowski's balls, domains, and their critical lattices
Nikolaj Glazunov
We construct direct and inverse systems of Minkowski's balls and domains, direct and inverse systems of their critical lattices and calculate their direct and inverse limits.
math.MG2022
On packing of Minkowski balls. I
N. Glazunov
In this paper we prove that the optimal lattice packing of the Minkowski, Davis, and Chebyshev-Cohn balls is realized with respect to the sublattices of index two of the critical l…