Long History of the Monge-Kantorovich Transportation Problem

By Anatoly M. Vershik. 2013

97 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/64f6fadfbf215d3faec183814d752a691a717574

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Alex Zhai
2. Francis R. Bach
3. Jonathan Weed
4. Jing Lei
5. Marco Cuturi
6. Thomas Bonis
7. Xiao Fang
8. Victor M. Panaretos

In Astronomy and Astrophysics

1. Alex Zhai
2. Francis R. Bach
3. Jonathan Weed

In Geometry and Topology

1. Alex Zhai
2. Francis R. Bach
3. Jonathan Weed

Citations in the corpus

• Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance (2017, background): “Vershik [54] provides a review of the historical issues surrounding Kantorovich’s role in defining this quantity.”
• A high-dimensional CLT in W2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {W}_2$$\end{document} distance wi (2017, background): “We refer to [26] for a historical discussion of the concept.”