2 papers
math.PR2019
On the optimal map in the 2-dimensional random matching problem
Luigi Ambrosio, Federico Glaudo, Dario Trevisan
We show that, on a -dimensional compact manifold, the optimal transport map in the semi-discrete random matching problem is well-approximated in the -norm by identity plus…
math.PR2018
Finer estimates on the 2-dimensional matching problem
Luigi Ambrosio, Federico Glaudo
We study the asymptotic behaviour of the expected cost of the random matching problem on a -dimensional compact manifold, improving in several aspects the results of L. Ambrosio…