Szemerédi’s Lemma for the Analyst

@article{Lovsz2007SzemerdisLF,
  title={Szemer{\'e}di’s Lemma for the Analyst},
  author={L{\'a}szl{\'o} Mikl{\'o}s Lov{\'a}sz and Bal{\'a}zs Szegedy},
  journal={GAFA Geometric And Functional Analysis},
  year={2007},
  volume={17},
  pages={252-270}
}
Abstract.Szemerédi’s regularity lemma is a fundamental tool in graph theory: it has many applications to extremal graph theory, graph property testing, combinatorial number theory, etc. The goal of this paper is to point out that Szemerédi’s lemma can be thought of as a result in analysis. We show three different analytic interpretations. 

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