At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and
John Mather launched a revolution in the venerable field of optimal transport founded by G …

This is the first comprehensive introduction to the theory of mass transportation with its many—
and sometimes unexpected—applications. In a novel approach to the subject, the book both …

This text is an expanded version of the lectures given by the first author in the 2009 CIME
summer school of Cetraro. It provides a quick and reasonably account of the classical theory …

Plugin estimation of smooth optimal transport maps Page 1 The Annals of Statistics 2024, Vol.
52, No. 3, 966–998 https://doi.org/10.1214/24-AOS2379 © Institute of Mathematical Statistics …

A popular way to solve optimal transport problems numerically is to assume that the source
probability measure is absolutely continuous while the target measure is finitely supported …

Abstract Information geometry and optimal transport are two distinct geometric frameworks
for modeling families of probability measures. During the recent years, there has been a …

Over the past five years, multi-marginal optimal transport, a generalization of the well known
optimal transport problem of Monge and Kantorovich, has begun to attract considerable …

In this paper we present the basic theory of the Monge-Ampere equation together with a
selection of geometric applications, mainly to affine geometry. First we introduce the Monge …

This article studies multidimensional matching between workers and jobs. Workers differ in
manual and cognitive skills and sort into jobs that demand different combinations of these …

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