Proves Wasserstein inequality bounding transport cost by Green's function sum, implying optimal W2 rate for minimal Green energy point sets on manifolds and Coulomb energy on spheres.
Beck, Sums of distances between points on a sphere–an a pplication of the theory of irreg- ularities of distribution to discrete geometry, Mathemati ka 31 (1984), no
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A Wasserstein Inequality and Minimal Green Energy on Compact Manifolds
Proves Wasserstein inequality bounding transport cost by Green's function sum, implying optimal W2 rate for minimal Green energy point sets on manifolds and Coulomb energy on spheres.