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math.MG2018★ 7 cited
Local Energy Optimality of Periodic Sets
Renaud Coulangeon, Achill Schürmann
We study the local optimality of periodic point sets in for energy minimization in the Gaussian core model, that is, for radial pair potential functions $f_c(r)=e^{-…
math.MG2010★ 20 cited
Energy minimization, periodic sets and spherical designs
Renaud Coulangeon, Achill Schürmann
We study energy minimization for pair potentials among periodic sets in Euclidean spaces. We derive some sufficient conditions under which a point lattice locally minimizes the ene…