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math.DG2018★ 3 cited
The Space of Weak Connections in High Dimensions
Mircea Petrache, Tristan Rivière
The space of Sobolev connections, as it has been introduced for studying the variation of Yang-Mills Lagrangian in the critical dimension , happens not to be weakly sequentially…
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…