The proof of the l² Decoupling Conjecture

2015/04/15 by Jean Bourgain, Ciprian Demeter · 33 citations
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Combinatorics #Conjecture #Decoupling (probability) #Discrete mathematics #Geometry #Irrational number #Lattice (music) #Mathematical Dynamics and Fractals #Mathematics #Multilinear map #Physics #Pure mathematics #Range (aeronautics)

paper · pdf · doi:10.4007/annals.2015.182.1.9

published in Annals of Mathematics, 351-389 (Princeton University)

openalex publication_date 2015/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the l 2 Decoupling Conjecture for compact hypersurfaces with positive definite second fundamental form and also for the cone. This has a wide range of important consequences. One of them is the validity of the Discrete Restriction Conjecture, which implies the full range of expected L p

Citations

• On the multilinear restriction and Kakeya conjectures

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