Sharp Estimates for the Optimal Matching Problem on the 2-Torus

2024/06/20 by Ariel Lerman, Lerman, Ariel
Computer Science · #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Search Problems

paper · pdf · doi:10.48550/arxiv.2406.14471

openalex publication_date 2024/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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