59 citations · 176 across the 17 of their papers we have counts for
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math.AP2012★ 3 cited
Optimality of the triangular lattice for a particle system with Wasserstein interaction
D. P. Bourne, M. A. Peletier, F. Theil
We prove strong crystallization results in two dimensions for an energy that arises in the theory of block copolymers. The energy is defined on sets of points and their weights, or…
math.AP2012★ 8 cited
Nonlinear Elasticity from Atomistic Mechanics
C. Ortner, F. Theil
We present sharp convergence results for the Cauchy--Born approximation of general classical atomistic interactions, for both static and dynamic problems, for small data.