Lecture

Optimal Transport: Regularity and Brenier's Theorem

In course

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Description

This lecture covers the concept of optimal transport, focusing on the regularity of optimal maps and Brenier's theorem. It discusses the continuity of optimal maps and provides examples of when they are not continuous. The lecture also explores the notion of convexity in optimal transport and the implications of assuming the target is connected.

Official source

https://mediaspace.epfl.ch/media/0_dqyz3bhd

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Topology: General topology

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