An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows
Alessio Figalli
ETH Zürich, SwitzerlandFederico Glaudo
ETH Zürich, Switzerland

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| FrontmatterDownload pp. i–iv | |
| ContentsDownload pp. v–vi | |
| 1 | Introductionpp. 1–16 |
| 2 | Optimal transportpp. 17–55 |
| 3 | Wasserstein distances and gradient flowspp. 57–79 |
| 4 | Differential viewpoint of optimal transportpp. 81–98 |
| 5 | Further readingpp. 99–114 |
| A | Exercises on optimal transport (with solutions)pp. 115–130 |
| B | Disintegrating the disintegration theorempp. 131–132 |
| Referencespp. 133–136 |