Optimal Transport

DOI10.1007/978-3-540-71050-9zbMath1156.53003OpenAlexW4233762729WikidataQ56390052 ScholiaQ56390052MaRDI QIDQ5900191

Cédric Villani

Publication date: 31 July 2008

Published in: Grundlehren der mathematischen Wissenschaften (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-71050-9

zbMATH Keywords

Riemannian geometryRicci curvaturegradient flowsdisplacement convexityKantorovich dualityMonge problemcyclical monotonicityMonge-Mather shortening principlequalitative description of optimal transportstability of optimal transportweak Ricci curvature bounds

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming (90-02) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)