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Topics in optimal transportation

Author: Cédric Villani
Publisher: Providence, RI : American Mathematical Society, ©2003.
Series: Graduate studies in mathematics, v. 58.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

Presents a comprehensive introduction to the theory of mass transportation with its many - and sometimes unexpected - applications. This book defines the problem of 'optimal transportation' (or the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Cédric Villani
ISBN: 082183312X 9780821833124
OCLC Number: 51477002
Description: xvi, 370 p. : ill. ; 26 cm.
Contents: Introduction The Kantorovich duality Geometry of optimal transportation Brenier's polar factorization theorem The Monge-Ampere equation Displacement interpolation and displacement convexity Geometric and Gaussian inequalities The metric side of optimal transportation A differential point of view on optimal transportation Entropy production and transportation inequalities Problems Bibliography Table of short statements Index.
Series Title: Graduate studies in mathematics, v. 58.
Responsibility: Cédric Villani.

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