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HomeMIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019Lecture 25: Structure of Set Addition V: Additive Energy and Balog-Szemerédi-Gowers Theorem

Lecture 25: Structure of Set Addition V: Additive Energy and Balog-Szemerédi-Gowers Theorem

1:14:46

Description: Additive energy is a measure of additive structure. Professor Zhao explains why a set with large additive energy must have a large subset of small doubling. The proof is graph theoretic and uses the dependent random choice method.

Instructor: Prof. Yufei Zhao