Optimal transportation : theory and applications / edited by Yann Ollivier, Hervé Pajot, Cédric Villani.

Lecture notes and research papers on optimal transportation, its applications, and interactions with other areas of mathematics.

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Bibliographic Details
Other Authors:	Ollivier, Yann (,)
Format:	Book
Language:	English
Published:	Cambridge, United Kingdom : Cambridge University Press, 2014.
Series:	London Mathematical Society lecture note series ; 413.
Subjects:	Transportation problems (Programming) Mathematical optimization. Combinatorial analysis. Matrices.

Table of Contents:

Short courses: Introduction to optimal transport theory / Filippo Santambrogio ; Models and applications of optimal transport in economics, traffic, and urban planning / Filippo Santambrogio ; Logarithmic Sobolev inequality for diffusion semigroups / Ivan Gentil ; Lecture notes on variational models for incompressible Euler equations / Luigi Ambrosio and Alessio Figalli; Ricci flow : the foundations via optimal transportation / Peter Topping ; Lecture notes on gradient flows and optimal transport / Sara Daneri and Giuseppe Savaré ; Ricci curvature, entropy, and optimal transport / Shin-ichi Ohta
Surveys and research papers: Computing a mass transport problem with a least-squares method / Olivier Besson, Martine Picq, and Jérome Poussin ; On the duality theory for the Monge-Kantorovich transport problem / Mathias Beiglböck, Christian Léonard, and Walter Schachermayer ; Optimal coupling for mean field limits / François Bolley ; Functional inequalities via Lyapunov conditions /PatrockCattiaux and Arnaud Guillin ; Size of the medial axis and stability of Federer's curvature measures / Quentin Mérigot.

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