Optimal Transport: Old and New
E324664
"Optimal Transport: Old and New" is a comprehensive monograph by Cédric Villani that develops the theory of optimal transport and its applications across analysis, geometry, and probability.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Optimal Transport: Old and New canonical | 1 |
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics monograph ⓘ nonfiction book ⓘ |
| author | Cédric Villani ⓘ |
| countryOfPublication | Germany ⓘ |
| field |
geometry
ⓘ
mathematical analysis ⓘ optimal transport theory ⓘ probability theory ⓘ |
| hasPart |
applications to curvature and geometry
ⓘ
applications to functional inequalities ⓘ historical overview of optimal transport ⓘ systematic exposition of modern optimal transport theory ⓘ technical appendices ⓘ |
| isbn | 978-3-540-71049-3 ⓘ |
| language | English ⓘ |
| notableFor |
comprehensive treatment of optimal transport
ⓘ
linking optimal transport with curvature and geometric analysis ⓘ standard reference in optimal transport theory ⓘ |
| pageCount | 973 ⓘ |
| publicationYear | 2009 ⓘ |
| publisher | Springer ⓘ |
| series |
Die Grundlehren der mathematischen Wissenschaften
ⓘ
surface form:
Grundlehren der mathematischen Wissenschaften
|
| subject |
Brenier map
ⓘ
Kantorovich duality ⓘ Kantorovich problem in optimal transport ⓘ
surface form:
Monge–Kantorovich problem
Ricci curvature ⓘ differential geometry ⓘ
surface form:
Riemannian geometry
Wasserstein distance ⓘ
surface form:
Wasserstein distances
applications to PDEs ⓘ applications to geometric inequalities ⓘ applications to probability theory ⓘ concentration of measure ⓘ convex analysis ⓘ displacement convexity ⓘ functional inequalities ⓘ gradient flows in metric spaces ⓘ mass transportation problems ⓘ partial differential equations ⓘ probability measures on metric spaces ⓘ |
| targetAudience |
graduate students in mathematics
ⓘ
researchers in analysis ⓘ researchers in geometry ⓘ researchers in probability theory ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.