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

Show other versions (1)

The theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceeding...

Full description

Bibliographic Details
Uniform Title:London Mathematical Society lecture note series ; 413.
Corporate Author: Optimal Transportation: Theory and Applications (Summer school) Institut Fourier)
Other Authors: Ollivier, Yann, 1978- (Editor)
Pajot, Hervé, 1967- (Editor)
Villani, Cédric, 1973- (Editor)
Language:English
Published: Cambridge : Cambridge University Press, 2014.
Series:London Mathematical Society lecture note series ; 413.
Subjects:
Transportation problems (Programming) > Congresses.
Mathematical optimization > Congresses.
Combinatorial analysis > Congresses.
Matrices > Congresses.
Genre:
Congresses.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (x, 306 pages) : digital, PDF file(s).
Format: Electronic Conference Proceeding eBook
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.