Topics in Optimal Transportation / Cedric Villani

By:

Villani, Cédric

Contributor(s):

Villani, Cedric

Material type: Text

TextPublisher number: :Variety Books Publishers & Distributors | :B-10 Street No 2 West Vinod Nagar Delhi 110092 Publication details: New Delhi ;University Press 2003Description: xvi, 378 pages : illustrations ; 26 cmISBN:

9781470425623

Subject(s):

DDC classification:

519.72 VIL

Contents:

Ch. 1. The Kantorovich Duality -- Ch. 2. Geometry of Optimal Transportation -- Ch. 3. Brenier's Polar Factorization Theorem -- Ch. 4. The Monge-Ampere Equation -- Ch. 5. Displacement Interpolation and Displacement Convexity -- Ch. 6. Geometric and Gaussian Inequalities -- Ch. 7. The Metric Side of Optimal Transportation -- Ch. 8. A Differential Point of View on Optimal Transportation -- Ch. 9. Entropy Production and Transportation Inequalities -- Ch. 10. Problems -- Table of Short Statements

Summary: This graduate textbook reviews results about the existence and regularity of the optimal mass transportation problem, introducing such topics as displacement interpolation, its applications to functional inequalities with geometric content, the Monge-Kantorovich problem, and a differential formulation of the transportation problem inspired by fluid mechanics. Annotation (c)2003 Book News, Inc., Portland, OR.

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Holdings
Item type	Current library	Call number	Status	Notes	Barcode
Mathematics Departmental Library	SNU LIBRARY	519.72 VIL (Browse shelf(Opens below))	Not For Loan	FPDA Grant	M304

Total holds: 0

Ch. 1. The Kantorovich Duality --
Ch. 2. Geometry of Optimal Transportation --
Ch. 3. Brenier's Polar Factorization Theorem --
Ch. 4. The Monge-Ampere Equation --
Ch. 5. Displacement Interpolation and Displacement Convexity --
Ch. 6. Geometric and Gaussian Inequalities --
Ch. 7. The Metric Side of Optimal Transportation --
Ch. 8. A Differential Point of View on Optimal Transportation --
Ch. 9. Entropy Production and Transportation Inequalities --
Ch. 10. Problems --
Table of Short Statements

This graduate textbook reviews results about the existence and regularity of the optimal mass transportation problem, introducing such topics as displacement interpolation, its applications to functional inequalities with geometric content, the Monge-Kantorovich problem, and a differential formulation of the transportation problem inspired by fluid mechanics. Annotation (c)2003 Book News, Inc., Portland, OR.

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