Jean Bourgain

发表

Affine extractors over large fields with exponential error

Zeev Dvir, Jean Bourgain, Ethan Leeman, 2015, computational complexity.

Monotone expansion

Amir Yehudayoff, Jean Bourgain, J. Bourgain, 2011, STOC '12.

Chapter 11. Generalization to Certain Long-Range Models

Jean Bourgain, 2005 .

Breaking the k2 barrier for explicit RIP matrices

Stephen J. Dilworth, Kevin Ford, Jean Bourgain, 2011, STOC '11.

Character sums and deterministic polynomial root finding in finite fields pdf

Igor E. Shparlinski, Jean Bourgain, Sergei Konyagin, 2013, Math. Comput..

Decimations of l-Sequences and Permutations of Even Residues mod p

Todd Cochrane, Jean Bourgain, Jennifer Paulhus, 2009, SIAM J. Discret. Math..

Addendum: Discussions at the Dead Sea

Noga Alon, Jean Bourgain, A. Connes, 2000 .

Approximating the ball by a minkowski sum of segments with equal length

Jean Bourgain, Joram Lindenstrauss, J. Lindenstrauss, 1993, Discret. Comput. Geom..

Explicit constructions of RIP matrices and related problems pdf

Stephen J. Dilworth, Kevin Ford, Jean Bourgain, 2010, ArXiv.

Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

Jean Bourgain, Dong Li, J. Bourgain, 2013, 1307.7090.

New results on expanders

Jean Bourgain, J. Bourgain, Alex Gamburd, 2006 .

Decoupling, exponential sums and the Riemann zeta function

Jean Bourgain, J. Bourgain, 2014, 1408.5794.

Expansion in SLd(Z/qZ), q arbitrary

Jean Bourgain, J. Bourgain, P. Varjú, 2010, 1006.3365.

Sum–product theorems and exponential sum bounds in residue classes for general modulus

Jean Bourgain, J. Bourgain, 2007 .

Mordell's exponential sum estimate revisited

Jean Bourgain, J. Bourgain, 2005 .

A remark on the uncertainty principle for Hilbertian basis

Jean Bourgain, J. Bourgain, 1988 .

A Spectral Gap Theorem in $SU(d)$

Jean Bourgain, J. Bourgain, Alex Gamburd, 2011, 1108.6264.

Strong illposedness of the incompressible Euler equation in integer Cm spaces

Jean Bourgain, Dong Li, J. Bourgain, 2014, Geometric and Functional Analysis.

Influential coalitions for Boolean Functions

Gil Kalai, Jean Bourgain, Jeff Kahn, 2014, 1409.3033.

Distribution of Elements of Cosets of Small Subgroups and Applications

Igor E. Shparlinski, Jean Bourgain, J. Bourgain, 2011, 1103.0567.

On an endpoint Kato-Ponce inequality

Jean Bourgain, Dong Li, J. Bourgain, 2014, Differential and Integral Equations.

Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three

Larry Guth, Ciprian Demeter, Jean Bourgain, 2015, 1512.01565.

Some remarks on Banach spaces in which martingale difference sequences are unconditional

Jean Bourgain, J. Bourgain, 1983 .

Anderson localization for Schrödinger operators on Z2 with quasi-periodic potential

Jean Bourgain, Wilhelm Schlag, J. Bourgain, 2002 .

Multilinear Exponential Sums in Prime Fields Under Optimal Entropy Condition on the Sources

Jean Bourgain, J. Bourgain, 2009 .

Lifting in Sobolev spaces

Petru Mironescu, Jean Bourgain, Haim Brezis, 2000 .

Jean Bourgain, Joram Lindenstrauss, Vitali Milman, 1989 .

On Martingales Transforms in Finite Dimensional Lattices with an Appendix on the K‐Convexity Constant

Jean Bourgain, J. Bourgain, 1984 .

Construction of blowup solutions for the nonlinear Schr ? odinger equation with critical nonlineari

Jean Bourgain, J. Bourgain, Wei-Min Wang, 1997 .

On the singularity probability of discrete random matrices

Jean Bourgain, Van Vu, Philip Matchett Wood, 2009, 0905.0461.

The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization

Jean Bourgain, Stanislaw J. Szarek, S. Szarek, 1988 .

On the smallest pseudopower

Igor E. Shparlinski, Carl Pomerance, Jean Bourgain, 2009 .

Problems in Hamiltonian PDE’S

Jean Bourgain, J. Bourgain, 2010 .

On congruences with products of variables from short intervals and applications

Igor Shparlinski, Jean Bourgain, Sergei Konyagin, 2012, 1203.0017.

Mathematical aspects of nonlinear dispersive equations

Jean Bourgain, Carlos E. Kenig, Sergiu Klainerman, 2007 .

Distances between normed spaces, their subspaces and quotient spaces

Jean Bourgain, Vitali Milman, V. Milman, 1986 .

Limiting embedding theorems forWs,p whens ↑ 1 and applications

Petru Mironescu, Jean Bourgain, Haim Brezis, 2002 .

A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces

Jean Bourgain, Gilles Pisier, 1983 .

ON HIGH DIMENSIONAL MAXIMAL FUNCTIONS ASSOCIATED TO CONVEX BODIES

Jean Bourgain, J. Bourgain, 1986 .

Exponential sum estimates in finite commutative rings and applications

Jean Bourgain, J. Bourgain, 2007 .

Some remarks on the Banach space structure of the ball-algebras

Jean Bourgain, J. Bourgain, 1985 .

Construction of approximative and almost periodic solutions of perturbed linear schrödinger and wave equations

Jean Bourgain, J. Bourgain, 1996 .

New bounds for the discrete Fourier restriction to the sphere in four and five dimensions

Ciprian Demeter, Jean Bourgain, 2013 .

Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE

Jean Bourgain, J. Bourgain, 1994 .

On an exponential sum related to the Diffie-Hellman cryptosystem

Jean Bourgain, J. Bourgain, 2006 .

Roots of Polynomials in Subgroups of and Applications to Congruences

Enrico Bombieri, Jean Bourgain, Sergei Konyagin, 2008 .

Chapter 5 - Λ P-sets in Analysis: Results, Problems and Related Aspects

Jean Bourgain, J. Bourgain, 2001 .

Canonical Sobolev projections of weak type (1,1)

Jean Bourgain, J. Bourgain, A. Pełczyński, 2001 .

Green's Function Estimates for Lattice Schrödinger Operators and Applications.

Jean Bourgain, J. Bourgain, 2004 .

On dentability and the Bishop-Phelps property

Jean Bourgain, J. Bourgain, 1977 .

On the Distribution of Free Path Lengths¶for the Periodic Lorentz Gas

François Golse, Bernt Wennberg, Jean Bourgain, 1998 .

Estimates on exponential sums related to the Diffie–Hellman Distributions

Jean Bourgain, J. Bourgain, 2005 .

Additive Patterns in Multiplicative Subgroups

Noga Alon, Jean Bourgain, N. Alon, 2014 .

A remark on the behaviour ofLp-multipliers and the range of operators acting onLp-spaces

Jean Bourgain, J. Bourgain, 1992 .

On the spectral gap for finitely-generated subgroups of SU(2)

Jean Bourgain, J. Bourgain, Alex Gamburd, 2007 .

On nonlinear Schrödinger equations

Jean Bourgain, J. Bourgain, Jean Bourgain, 1998 .

The sum-product theorem in ℤq with q arbitrary

Jean Bourgain, J. Bourgain, 2008 .

Quasi-periodic solutions of nonlinear random Schrödinger equations

Jean Bourgain, J. Bourgain, Wei-Min Wang, 2008 .

On diffusion in high-dimensional Hamiltonian systems and PDE

Jean Bourgain, J. Bourgain, 2000 .

Periodic Korteweg de Vries equation with measures as initial data

Jean Bourgain, J. Bourgain, 1997 .

A remark on Schrödinger operators

Jean Bourgain, J. Bourgain, 1992 .

QUASI-PERIODIC SOLUTIONS OF HAMILTONIAN PERTURBATIONS OF 2D LINEAR SCHRODINGER EQUATIONS

Jean Bourgain, J. Bourgain, 1998 .

$l^p$ decouplings for hypersurfaces with nonzero Gaussian curvature

Ciprian Demeter, Jean Bourgain, J. Bourgain, 2014, 1407.0291.

Symmetrization and Isotropic Constants of Convex Bodies

Bo'az Klartag, Jean Bourgain, Vitali Milman, 2004 .

On the duality problem for entropy numbers of operators

Jean Bourgain, Alain Pajor, Stanislaw J. Szarek, 1989 .

On the Divisibility of Fermat Quotients

Igor E. Shparlinski, Kevin Ford, Jean Bourgain, 2010 .

Roth’s theorem on progressions revisited

Jean Bourgain, J. Bourgain, 2008 .

On the Construction of Affine Extractors

Jean Bourgain, J. Bourgain, 2007 .

A Gauss sum estimate in arbitrary finite fields

Jean Bourgain, J. Bourgain, Mei-Chu Chang, 2006 .

Besicovitch type maximal operators and applications to fourier analysis

Jean Bourgain, J. Bourgain, 1991 .

On the Dimension of Kakeya Sets and Related Maximal Inequalities

Jean Bourgain, J. Bourgain, 1999 .

On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus

Jean Bourgain, Zeev Rudnick, J. Bourgain, 2010, 1012.3843.

Estimates on polynomial exponential sums

Jean Bourgain, 2010 .

On a variant of sum-product estimates and explicit exponential sum bounds in prime fields

Jean Bourgain, J. Bourgain, M. Garaev, 2009, Mathematical Proceedings of the Cambridge Philosophical Society.

Global Solutions of Nonlinear Schrodinger Equations

Jean Bourgain, J. Bourgain, 1999 .

Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm

Igor E. Shparlinski, Jean Bourgain, Sergei Konyagin, 2010 .

Corrigenda to: Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings and Fixed Points of the Discrete Logarithm

Igor E. Shparlinski, Jean Bourgain, Sergei Konyagin, 2009 .

Hausdorff dimension and distance sets

Jean Bourgain, J. Bourgain, 1994 .

Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations

Jean Bourgain, J. Bourgain, 2004, Ergodic Theory and Dynamical Systems.

Invariant measures for the2D-defocusing nonlinear Schrödinger equation

Jean Bourgain, J. Bourgain, 1996 .

Exponential sum estimates over subgroups ofZ*q,q arbitrary,q arbitrary

Jean Bourgain, J. Bourgain, 2005 .

Multiplicative congruences with variables from short intervals

Igor E. Shparlinski, Jean Bourgain, J. Bourgain, 2012, Journal d'Analyse Mathématique.

Estimates for the Number of Sums and Products and for Exponential Sums in Fields of Prime Order

Jean Bourgain, Sergei Konyagin, J. Bourgain, 2006 .

On type of metric spaces

Jean Bourgain, Vitali Milman, V. Milman, 1986 .

Estimates on Green’s functions, localization and the quantum kicked rotor model

Jean Bourgain, J. Bourgain, 2002 .

New Banach space properties of the disc algebra andH∞

Jean Bourgain, 1984 .

On Triples in Arithmetic Progression

Jean Bourgain, J. Bourgain, 1999 .

Threshold Intervals under Group Symmetries

Gil Kalai, Jean Bourgain, J. Bourgain, 1998 .

Spectral gaps in SU(d)

Jean Bourgain, J. Bourgain, Alex Gamburd, 2010 .

On the Cauchy problem for the Kadomstev-Petviashvili equation

Jean Bourgain, J. Bourgain, 1993 .

On hilbertian subsets of finite metric spaces

Jean Bourgain, Vitali Milman, T. Figiel, 1986 .

A sum-product estimate in finite fields, and applications

Terence Tao, Jean Bourgain, T. Tao, 2003, math/0301343.