26 citations · 56 across the 12 of their papers we have counts for
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cond-mat.stat-mech2015
Sufficient Condition for a Compact Local Minimality of a Lattice
Laurent Bétermin
We give a sufficient condition on a family of radial parametrized long-range potentials for a compact local minimality of a given -dimensional Bravais lattice for its total ener…
math-ph2015★ 2 cited
2D Theta Functions and Crystallization among Bravais Lattices
Laurent Bétermin
In this paper, we study minimization problems among Bravais lattices for finite energy per point. We prove that if a function is completely monotonic, then the triangular lattice m…