Course

MATH-476: Optimal transport

Summary

The first part is devoted to Monge and Kantorovitch problems, discussing the existence and the properties of the optimal plan. The second part introduces the Wasserstein distance on measures and develops applications of optimal transport to PDEs, functional/geometric inequalities, traffic models.

Official source

https://edu.epfl.ch/coursebook/en/optimal-transport-MATH-476

Moodle Page

http://go.epfl.ch/MATH-476

About this result

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis, Measure theory, Calculus

Geometry: Differential geometry, Euclidean geometry

Topology: General topology

Instructor

Lectures in this course (26)

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