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

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis, Calculus

Geometry: Differential geometry

Topology: General topology

Logic

Classical logic: First-order logic

Instructor

Lectures in this course (26)

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