FROM GRAPH LIMITS TO HIGHER ORDER FOURIER ANALYSIS

DOI10.1142/9789813272880_0178zbMath1448.05194OpenAlexW2972604281MaRDI QIDQ5122153

Balázs Szegedy

Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789813272880_0178

zbMATH Keywords

graph limit theorynilspace approach to higher order Fourier analysis

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Dynamical aspects of measure-preserving transformations (37A05) Harmonic analysis in several variables (42B99) Graph theory (05C99) Harmonic analysis in one variable (42A99)

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Semicontinuity of structure for small sumsets in compact abelian groups ⋮ The structure theory of nilspaces. I ⋮ Sidorenko's conjecture for blow-ups ⋮ On the structure theory of cubespace fibrations ⋮ Distribution of similar configurations in subsets of \(\mathbb{F}_q^d\) ⋮ Multiple recurrence in quasirandom groups

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