Regularity theory of optimal transport maps
Alessio Figalli
2021 Plenary talk
in
Workshop: Optimal Transport and Machine Learning
in
Workshop: Optimal Transport and Machine Learning
Abstract
In optimal transport, understanding the regularity of optimal maps is an important topic. This lecture aims to present the regularity theory for optimal maps, explain the connection to Monge-Ampère type equations, and overview the most fundamental results available.
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