Optimal transport : old and new
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. Th...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2009. |
| سلاسل: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
338 |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Optimal transport, old and new, Cédric Villani, 2009, Berlin, Springer, 1 vol. (XXII-973 p.), Grundlehren der mathematischen Wissenschaften, 978-3-540-71049-3 • Optimal Transport, Texte imprimé, 9783540867456 • Optimal transport, old and new, Cédric Villani, 2009, Berlin, Springer, 1 vol. (XXII-973 p.), Grundlehren der mathematischen Wissenschaften, 978-3-540-71049-3 • Optimal transport, old and new, Cédric Villani, 2009, Berlin, Springer, 1 vol. (XXII-973 p.), Grundlehren der mathematischen Wissenschaften, 978-3-540-71049-3 |
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| 100 | 1 | |a Villani, Cédric, |d 1973- | |
| 245 | 1 | 0 | |a Optimal transport : |b old and new |c by Cédric Villani. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 338 |x 2196-9701 | |
| 500 | |a Description d'après consultation du 26 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Couplings and changes of variables Three examples of coupling techniques The founding fathers of optimal transport Qualitative description of optimal transport Basic properties Cyclical monotonicity and Kantorovich duality The Wasserstein distances Displacement interpolation The Monge Mather shortening principle Solution of the Monge problem I: global approach Solution of the Monge problem II: Local approach The Jacobian equation Smoothness Qualitative picture Optimal transport and Riemannian geometry Ricci curvature Otto calculus Displacement convexity I Displacement convexity II Volume control Density control and local regularity Infinitesimal displacement convexity Isoperimetric-type inequalities Concentration inequalities Gradient flows I Gradient flows II: Qualitative properties Gradient flows III: Functional inequalities Synthetic treatment of Ricci curvature Analytic and synthetic points of view Convergence of metric-measure spaces Stability of optimal transport Weak Ricci curvature bounds I: Definition and Stability Weak Ricci curvature bounds II: Geometric and analytic properties | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book s value as a most welcome reference text on this subject | ||
| 776 | 0 | |0 128764902 |t Optimal transport |o old and new |f Cédric Villani |d 2009 |c Berlin |n Springer |p 1 vol. (XXII-973 p.) |s Grundlehren der mathematischen Wissenschaften |z 978-3-540-71049-3 | |
| 776 | 0 | |t Optimal Transport |b Texte imprimé |z 9783540867456 | |
| 776 | 0 | |0 128764902 |t Optimal transport |o old and new |f Cédric Villani |d 2009 |c Berlin |n Springer |p 1 vol. (XXII-973 p.) |s Grundlehren der mathematischen Wissenschaften |z 978-3-540-71049-3 | |
| 776 | 0 | |0 128764902 |t Optimal transport |o old and new |f Cédric Villani |d 2009 |c Berlin |n Springer |p 1 vol. (XXII-973 p.) |s Grundlehren der mathematischen Wissenschaften |z 978-3-540-71049-3 | |
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