Best approximation of Lebesgue measure by discrete lattice measures in the Wasserstein metric
Best approximation of Lebesgue measure by discrete lattice measures in the Wasserstein metric
Filippo Cagnetti (Università di Parma)
Abstract: We will discuss the problem of the best approximation in the Wasserstein metric of the three-dimensional Lebesgue measure, by an atomic measure supported on a Bravais lattice. This is work in collaboration with David Bourne (Heriot-Watt University) and Steven Roper (University of Glasgow).