In this paper, we prove sharp estimates for the average cost of the optimal matching problem on the flat 2-torus, using quantitative linearization and the method of trajectories.
@article{arxiv.2406.14471,
title = {Sharp Estimates for the Optimal Matching Problem on the 2-Torus},
author = {Ariel Lerman},
journal= {arXiv preprint arXiv:2406.14471},
year = {2024}
}