Book Details


Search page | Title Index  | Author Index

Table of contents | MARC record  | Metadata XML  | e-Book PDF (1641 KB)
An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows
EMS Textbooks in Mathematics

Alessio Figalli (ETH Zürich, Switzerland)
Federico Glaudo (ETH Zürich, Switzerland)


An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows

ISBN print 978-3-98547-010-5, ISBN online 978-3-98547-510-0
DOI 10.4171/ETB/22
August 2021, 144 pages, hardcover, 16.5 x 23.5 cm.
39.00 Euro

This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject.

The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uniqueness of optimal transport maps, Wasserstein distances, the JKO scheme, Otto’s calculus, and Wasserstein gradient flows. At the end, a presentation of some selected applications of optimal transport is given.

The book is suitable for a course at the graduate level, and also includes an appendix with a series of exercises along with their solutions.

Keywords: optimal transport, Wasserstein distance, duality, gradient flows, measure theory, displacement convexity

BACK TO TOP