Jean Bourgain

Affiliations: 
Princeton University, Princeton, NJ 
Area:
Mathematics, Theoretical Mathematics, Applied Mathematics
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"Jean Bourgain"
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Publications

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Bourgain J, Dyatlov S. (2018) Spectral gaps without the pressure condition Annals of Mathematics. 187: 825-867
Bourgain J, Mirek M, Stein EM, et al. (2018) On Dimension-Free Variational Inequalities for Averaging Operators in $${\mathbb{R}^d}$$ Geometric and Functional Analysis. 28: 58-99
Bourgain J. (2018) On quadratic irrationals with bounded partial quotients Selecta Mathematica-New Series. 24: 2831-2839
Bourgain J, Demeter C, Guo S. (2017) Sharp bounds for the cubic Parsell–Vinogradov system in two dimensions Advances in Mathematics. 320: 827-875
Bourgain J. (2017) Decoupling inequalities and some mean-value theorems Journal D Analyse Mathematique. 133: 313-334
Bourgain J, Demeter C. (2017) Decouplings for curves and hypersurfaces with nonzero Gaussian curvature Journal D Analyse Mathematique. 133: 279-311
Bourgain J, Demeter C. (2017) A study guide for the l^2 decoupling theorem Chinese Annals of Mathematics, Series B. 38: 173-200
Bourgain J, Dyatlov S. (2017) Fourier dimension and spectral gaps for hyperbolic surfaces Geometric and Functional Analysis. 27: 744-771
Bourgain J, Demeter C, Guth L. (2016) Proof of the main conjecture in Vinogradov’s Mean Value Theorem for degrees higher than three Annals of Mathematics. 184: 633-682
Bourgain J. (2016) On uniformly bounded bases in spaces of holomorphic functions American Journal of Mathematics. 138: 571-584
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