Topics in Optimal Transportation

Erscheinungsjahr 2003
ISBN: 978-0-8218-3312-4
Verlag: American Mathematical Society

Buch, Englisch, Band 58, 370 Seiten, Format (B × H): 185 mm x 266 mm, Gewicht: 891 g

Reihe: Graduate Studies in Mathematics

An introduction to the theory of mass transportation with its many - and sometimes unexpected - applications. In a novel approach to the subject, the text both surveys the topic and includes a chapter of problems.

This is the first comprehensive introduction to the theory of mass transportation with its many--and sometimes unexpected--applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a pa

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; 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

Autoren/Hrsg.

Villani, Cedric

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

(Ecole Normale Superieure de Lyon, France)