Buch, Englisch, 146 Seiten, Format (B × H): 165 mm x 235 mm
Reihe: EMS textbooks in mathematics
Buch, Englisch, 146 Seiten, Format (B × H): 165 mm x 235 mm
Reihe: EMS textbooks in mathematics
ISBN: 978-3-98547-050-1
Verlag: EMS Press
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.
Suitable for a course at the graduate level, the book also includes an appendix with a series of exercises
along with their solutions. The present second edition contains a number of additions, such as a new section
on the Brunn–Minkowski inequality, new exercises, and various corrections throughout the text.
Zielgruppe
Graduate students and research mathematicians interested in optimal transport, the calculus of
variations, partial differential equations, probability theory, differential geometry
