Optimal Transport: Old and New

by Cédric Villani

Book Overview

Couplings and changes of variables.- Three examples of coupling techniques.- The founding fathers of optimal transport.- Qualitative description of optimal transport.- Basic properties.- Cyclical monotonicity and Kantorovich duality.- The Wasserstein distances.- Displacement interpolation.- The Monge-Mather shortening principle.- Solution of the Monge problem I: global approach.- Solution of the Monge problem II: Local approach.- The Jacobian equation.-...

• Format: Paperback
• Language: English
• ISBN: 3662501805
• ISBN13: 9783662501801
• Release Date: August 2016
• Publisher: Springer
• Length: 976 Pages
• Weight: 3.27 lbs.
• Dimensions: 2.0" x 6.1" x 9.2"