Introduction to Optimal Transport Theory

Santambrogio, Filippo

Santambrogio, Filippo (2009), Introduction to Optimal Transport Theory, Optimal transportation: Theory and applications, 2009-06, Grenoble, France

Type

Communication / Conférence

External document link

http://hal.archives-ouvertes.fr/hal-00519456/fr/

Date

2009

Conference title

Optimal transportation: Theory and applications

Conference date

2009-06

Conference city

Grenoble

Conference country

France

Metadata

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Author(s)

Santambrogio, Filippo

Abstract (EN)

These notes constitute a sort of Crash Course in Optimal Transport Theory. The different features of the problem of Monge-Kantorovitch are treated, starting from convex duality issues. The main properties of space of probability measures endowed with the distances $W_p$ induced by optimal transport are detailed. The key tools to put in relation optimal transport and PDEs are provided.

Subjects / Keywords

convex duality issues; optimal transport; problem of Monge-Kantorovitch