43 citations · 103 across the 13 of their papers we have counts for
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math.OC2020★ 4 cited
Asymptotic optimality of the triangular lattice for a class of optimal location problems
David P. Bourne, Riccardo Cristoferi
We prove an asymptotic crystallization result in two dimensions for a class of nonlocal particle systems. To be precise, we consider the best approximation with respect to the 2-Wa…
math.AP2020★ 5 cited
Semi-discrete optimal transport methods for the semi-geostrophic equations
David P. Bourne, Charlie P. Egan, Beatrice Pelloni +1
We give a new and constructive proof of the existence of global-in-time weak solutions of the 3-dimensional incompressible semi-geostrophic equations (SG) in geostrophic coordinate…