An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows
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 tr...
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| Главные авторы: | , |
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| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin :
European Mathematical Society
2023.
Berlin : |
| Редактирование: | 2nd edition. |
| Серии: | EMS Textbooks in Mathematics
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| Предметы: | |
| Online-ссылка: | Accès sur la plateforme EMS Press Accès sur la plateforme ISTEX Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
European Mathematical Society (Licence nationale) European Mathematical Society (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An invitation to optimal transport, Wasserstein distances, and gradient flows, Alessio Figalli, Federico Glaudo, 2nd edition, 2023, Berlin, EMS Press, 1 volume (VI-146 p.), EMS Textbooks in Mathematics, 978-3-98547-050-1 |
| Итог: | 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, Ottos 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. |
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| Примечание: | European Mathematical Society (Licence nationale) European Mathematical Society (Licence nationale) |
| ISBN: | 9783985475506 |
| ISSN: | 2943-4955 |
| Доступ: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/wp-content/uploads/2022/07/EMS_ebooks_LN_CollEx_contrat.pdf |