Lecture

Optimal Transport: Stability and Counterexamples

Description

This lecture covers the concept of stability in optimal transport, discussing the distance stability theorem and providing examples of counterexamples where the optimal transport is discontinuous. The instructor explains the importance of weak limits and the characteristics of optimal solutions. The lecture also delves into the disintegration theorem in complete separable metric spaces, showcasing particular cases and theorems related to convergence and isometric properties.

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