An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows
Seiten
2023
|
2. Auflage
EMS Press (Verlag)
978-3-98547-050-1 (ISBN)
EMS Press (Verlag)
978-3-98547-050-1 (ISBN)
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.
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.
ETH Zürich, Switzerland
Institute for Advanced Study, Princeton, USA
| Erscheinungsdatum | 12.05.2023 |
|---|---|
| Reihe/Serie | EMS Textbooks in Mathematics |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 165 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | displacement convexity • Duality • Gradient flows • measure theory • optimal transport • Wasserstein distance |
| ISBN-10 | 3-98547-050-2 / 3985470502 |
| ISBN-13 | 978-3-98547-050-1 / 9783985470501 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
