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math.AP2020
Convergence of asymptotic costs for random Euclidean matching problems
Michael Goldman, Dario Trevisan
We investigate the average minimum cost of a bipartite matching between two samples of n independent random points uniformly distributed on a unit cube in d 3 dimensions, whe…
math.AP2020
An --regularity result for optimal transport maps between continuous densities
Michael Goldman
The aim of this short note is to extend the recent variational proof of partial regularity for optimal transport maps to the case of continuous densities.