This book presents a broad overview with proofs. It details the Monge-Kantorovich problem, Riemannian geometry, dynamical systems and more.
Page 1. Cédric Villani. Optimal transport, old and new. June 13, 2008. Springer ... optimal transport is still optimal; this is a simple but powerful principle).
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Optimal Transport: Old and New
Book by Cédric Villani
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays... Google Books
Originally published: 2009
Author: Cédric Villani
The text is divided in many short chapters, separated into three main parts. The first part is devoted to a qualitative description of optimal transport; the ...
Aug 8, 2018 · Are there any good introductory textbooks to optimal transport? I recently had a look at Cedric Villani's "Optimal Transport: Old and New ...
Nov 8, 2020 · I am reading through Villani's Optimal Transport: Old and New (2009) and I have a solid understanding of all the details presented in the ...
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Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this ...
On the regularity of solutions of optimal transportation problems. Acta Math., to appear. [8] J.Lott and C.Villani. Ricci curvature via optimal transport. Ann.
Nov 17, 2008 · Couplings and changes of variables.- Three examples of coupling techniques.- The founding fathers of optimal transport.
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Optimal Transport · Old and New (Grundlehren der mathematischen Wissenschaften) by C????dric Villani (2008-11-17) ; In stock. Usually ships within 4 to 5 days.