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math-ph2019
Crystallization for Coulomb and Riesz Interactions as a Consequence of the Cohn-Kumar Conjecture
Mircea Petrache, Sylvia Serfaty
The Cohn-Kumar conjecture states that the triangular lattice in dimension 2, the lattice in dimension 8, and the Leech lattice in dimension 24 are universally minimizing in t…
math-ph2018
Optimal and non-optimal lattices for non-completely monotone interaction potentials
Laurent Bétermin, Mircea Petrache
We investigate the minimization of the energy per point among -dimensional Bravais lattices, depending on the choice of pairwise potential equal to a radially symmetric f…