|
+
PDF
|
On a multi-parameter variant of the Bellow–Furstenberg problem
|
2023
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
James Wright
|
|
+
|
On a multi-parameter variant of the Bellow-Furstenberg problem
|
2022
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
James Wright
|
|
+
PDF
Chat
|
On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective
|
2021
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
Błażej Wróbel
|
|
+
PDF
|
Quasi-periodic Solutions of Hamiltonian Evolution Equations
|
2020
|
Jean Bourgain
|
|
+
|
On The Cauchy Problem for Periodic KDV-Type Equations
|
2020
|
Jean Bourgain
|
|
+
PDF
Chat
|
Three Applications of the Siegel Mass Formula
|
2020
|
Jean Bourgain
Ciprian Demeter
|
|
+
PDF
Chat
|
Decouplings for Real Analytic Surfaces of Revolution
|
2020
|
Jean Bourgain
Ciprian Demeter
Dóminique Kemp
|
|
+
|
On Discrete Hardy–Littlewood Maximal Functions over the Balls in $${\boldsymbol {\mathbb {Z}^d}}$$ : Dimension-Free Estimates
|
2020
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
Błażej Wróbel
|
|
+
PDF
Chat
|
Beyond expansion, III: Reciprocal geodesics
|
2019
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Strong Ill-Posedness of the 3D Incompressible Euler Equation in Borderline Spaces
|
2019
|
Jean Bourgain
Dong Li
|
|
+
PDF
|
Galilean Boost and Non-uniform Continuity for Incompressible Euler
|
2019
|
Jean Bourgain
Dong Li
|
|
+
PDF
Chat
|
Anderson localization for two interacting quasiperiodic particles
|
2019
|
Jean Bourgain
Ilya Kachkovskiy
|
|
+
|
Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd
|
2019
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
Błażej Wróbel
|
|
+
|
Decouplings for Real Analytic Surfaces of Revolution
|
2019
|
Jean Bourgain
Ciprian Demeter
Dóminique Kemp
|
|
+
|
Anderson localization for two interacting quasiperiodic particles
|
2018
|
Jean Bourgain
Ilya Kachkovskiy
|
|
+
|
On a paper of Erdös and Szekeres
|
2018
|
Jean Bourgain
Mei-Chu Chang
|
|
+
|
Dimension-free estimates for discrete Hardy-Littlewood averaging operators over the cubes in $\mathbb Z^d$
|
2018
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
Błażej Wróbel
|
|
+
PDF
|
Beyond Expansion IV: Traces of Thin Semigroups
|
2018
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
Chat
|
Spectral gaps without the pressure condition
|
2018
|
Jean Bourgain
Semyon Dyatlov
|
|
+
|
On Dimension-Free Variational Inequalities for Averaging Operators in $${\mathbb{R}^d}$$ R d
|
2018
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
Błażej Wróbel
|
|
+
PDF
Chat
|
On quadratic irrationals with bounded partial quotients
|
2018
|
Jean Bourgain
|
|
+
|
On the number of $k$th powers inside arithmetic progressions
|
2018
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
On discrete Hardy-Littlewood maximal functions over the balls in $\mathbb Z^d$: dimension-free estimates
|
2018
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein Błażej Wróbel
|
|
+
|
On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective
|
2018
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
Błażej Wróbel
|
|
+
|
Three applications of the Siegel mass formula
|
2018
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
Anderson localization for two interacting quasiperiodic particles
|
2018
|
Jean Bourgain
Ilya Kachkovskiy
|
|
+
|
Dimension-free estimates for discrete Hardy-Littlewood averaging operators over the cubes in $\mathbb Z^d$
|
2018
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
Błażej Wróbel
|
|
+
PDF
|
Sharp bounds for the cubic Parsell–Vinogradov system in two dimensions
|
2017
|
Jean Bourgain
Ciprian Demeter
Shaoming Guo
|
|
+
PDF
Chat
|
Decoupling inequalities and some mean-value theorems
|
2017
|
Jean Bourgain
|
|
+
PDF
Chat
|
Decouplings for curves and hypersurfaces with nonzero Gaussian curvature
|
2017
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
Mean square of zeta function, circle problem and divisor problem revisited
|
2017
|
Jean Bourgain
Nigel Watt
|
|
+
PDF
Chat
|
Nonlinear Roth type theorems in finite fields
|
2017
|
Jean Bourgain
Mei-Chu Chang
|
|
+
|
Spatial statistics for lattice points on the sphere I: Individual results
|
2017
|
Jean Bourgain
Zeév Rudnick
Peter Sarnak
|
|
+
PDF
Chat
|
Nonlinear Roth type theorems in finite fields
|
2017
|
Jean Bourgain
Mei-Chu Chang
|
|
+
PDF
Chat
|
Fourier dimension and spectral gaps for hyperbolic surfaces
|
2017
|
Jean Bourgain
Semyon Dyatlov
|
|
+
PDF
Chat
|
Beyond expansion II: low-lying fundamental geodesics
|
2017
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
|
Decoupling for Perturbed Cones and the Mean Square of $|\zeta (\frac 12+it)|$
|
2017
|
Jean Bourgain
Nigel Watt
|
|
+
PDF
Chat
|
On Random Walks in Large Compact Lie Groups
|
2017
|
Jean Bourgain
|
|
+
|
Small gaps in the spectrum of the rectangular billiard
|
2017
|
Valentin Blomer
Jean Bourgain
Maksym Radziwiłł
Zeév Rudnick
|
|
+
|
On a Problem of Farrell and Vershynin in Random Matrix Theory
|
2017
|
Jean Bourgain
|
|
+
|
On dimension-free variational inequalities for averaging operators in $\mathbb R^d$
|
2017
|
Jean Bourgain
Mariusz Mirek
Elias M. Stein
Błażej Wróbel
|
|
+
PDF
|
Sidonicity and variants of Kaczmarz’s problem
|
2017
|
Jean Bourgain
Mark Lewko
|
|
+
|
Small gaps in the spectrum of the rectangular billiard
|
2017
|
Valentin Blomer
Jean Bourgain
Maksym Radziwiłł
Zeév Rudnick
|
|
+
PDF
Chat
|
A study guide for the l 2 decoupling theorem
|
2017
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
On the Vinogradov mean value
|
2017
|
Jean Bourgain
|
|
+
|
Mean square of zeta function, circle problem and divisor problem revisited
|
2017
|
Jean Bourgain
Nigel Watt
|
|
+
PDF
Chat
|
A note on the Schrödinger maximal function
|
2016
|
Jean Bourgain
|
|
+
PDF
Chat
|
Mean value estimates for Weyl sums in two dimensions
|
2016
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
A note on the Schrodinger maximal function
|
2016
|
Jean Bourgain
|
|
+
PDF
Chat
|
A quantitative Oppenheim theorem for generic diagonal quadratic forms
|
2016
|
Jean Bourgain
|
|
+
PDF
|
Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three
|
2016
|
Jean Bourgain
Ciprian Demeter
Larry Guth
|
|
+
|
Spatial statistics for lattice points on the sphere I: Individual results
|
2016
|
Jean Bourgain
Zeév Rudnick
Peter Sarnak
|
|
+
|
A study guide for the $l^2$ Decoupling Theorem
|
2016
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
A quantitative Oppenheim Theorem for generic diagonal quadratic forms
|
2016
|
Jean Bourgain
|
|
+
|
On uniformly bounded bases in spaces of holomorphic functions
|
2016
|
Jean Bourgain
|
|
+
|
Decoupling, exponential sums and the Riemann zeta function
|
2016
|
Jean Bourgain
|
|
+
|
On the Fourier-Walsh spectrum of the Moebius function, II
|
2016
|
Jean Bourgain
|
|
+
|
On the Vinogradov mean value
|
2016
|
Jean Bourgain
|
|
+
|
Markoff triples and strong approximation
|
2016
|
Jean Bourgain
Alexander Gamburd
Peter Sarnak
|
|
+
PDF
Chat
|
The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Operators
|
2016
|
Jean Bourgain
Dan-Virgil Voiculescu
|
|
+
PDF
|
Local Statistics of Lattice Points on the Sphere
|
2016
|
Jean Bourgain
Peter Sarnak
Zeév Rudnick
|
|
+
|
On pair correlation for generic diagonal forms
|
2016
|
Jean Bourgain
|
|
+
|
Markoff Surfaces and Strong Approximation: 1
|
2016
|
Jean Bourgain
Alexander Gamburd
Peter Sarnak
|
|
+
|
Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions
|
2016
|
Jean Bourgain
Ciprian Demeter
Shaoming Guo
|
|
+
|
On the global Cauchy probl Schrodinger equation
|
2016
|
Jean Bourgain
|
|
+
|
A study guide for the $l^2$ Decoupling Theorem
|
2016
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
A quantitative Oppenheim Theorem for generic diagonal quadratic forms
|
2016
|
Jean Bourgain
|
|
+
|
A note on the Schrodinger maximal function
|
2016
|
Jean Bourgain
|
|
+
|
Spatial statistics for lattice points on the sphere I: Individual results
|
2016
|
Jean Bourgain
Zeév Rudnick
Peter Sarnak
|
|
+
|
Nonlinear Roth type theorems in finite fields
|
2016
|
Jean Bourgain
Mei-Chu Chang
|
|
+
|
Small gaps in the spectrum of the rectangular billiard
|
2016
|
Valentin Blomer
Jean Bourgain
Maksym Radziwiłł
Zeév Rudnick
|
|
+
|
On the Vinogradov mean value
|
2016
|
Jean Bourgain
|
|
+
|
Decouplings for surfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math>
|
2015
|
Jean Bourgain
Ciprian Demeter
|
|
+
PDF
|
A new function space and applications
|
2015
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
PDF
Chat
|
BMO‐Type Norms Related to the Perimeter of Sets
|
2015
|
Luigi Ambrosio
Jean Bourgain
Haı̈m Brezis
Alessio Figalli
|
|
+
|
On a paper of Erdös and Szekeres
|
2015
|
Mei-Chu Chang
Jean Bourgain
|
|
+
|
Mean value estimates for Weyl sums in two dimensions
|
2015
|
Jean Bourgain
Ciprian Demeter
|
|
+
PDF
Chat
|
Affine extractors over large fields with exponential error
|
2015
|
Jean Bourgain
Zeev Dvir
Ethan Leeman
|
|
+
PDF
|
Toward a unified theory of sparse dimensionality reduction in Euclidean space
|
2015
|
Jean Bourgain
Sjoerd Dirksen
Jelani Nelson
|
|
+
|
On uniformly bounded basis in spaces of holomorphic functions
|
2015
|
Jean Bourgain
|
|
+
PDF
|
Toward a Unified Theory of Sparse Dimensionality Reduction in Euclidean Space
|
2015
|
Jean Bourgain
Sjoerd Dirksen
Jelani Nelson
|
|
+
|
Markoff Triples and Strong Approximation
|
2015
|
Jean Bourgain
Alex Gamburd
Peter Sarnak
|
|
+
|
Decoupling for perturbed cones and mean square of $|\zeta(\frac 12+it)|$
|
2015
|
Jean Bourgain
Nigel Watt
|
|
+
|
Sidonicity and variants of Kaczmarz's problem
|
2015
|
Jean Bourgain
Mark Lewko
|
|
+
PDF
|
A note on Lyapunov exponents of deterministic strongly mixing potentials
|
2015
|
Jean Bourgain
Eric Bourgain-Chang
|
|
+
PDF
|
The proof of the l^2 Decoupling Conjecture
|
2015
|
Jean Bourgain
Ciprian Demeter
|
|
+
PDF
Chat
|
Character sums and deterministic polynomial root finding in finite fields
|
2015
|
Jean Bourgain
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
PDF
Chat
|
Nodal intersections and L p restriction theorems on the torus
|
2015
|
Jean Bourgain
Zeév Rudnick
|
|
+
PDF
Chat
|
Strong illposedness of the incompressible Euler equation in integer C m spaces
|
2015
|
Jean Bourgain
Dong Li
|
|
+
|
Decouplings for surfaces in R^4
|
2015
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
Optimal mean value estimates for the quadratic Weyl sums in two dimensions
|
2015
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
|
2015
|
Jean Bourgain
Ciprian Demeter
Larry Guth
|
|
+
|
On a paper of Erdös and Szekeres
|
2015
|
Mei-Chu Chang
Jean Bourgain
|
|
+
|
Thermodynamic expansion to arbitrary moduli
|
2015
|
Jean Bourgain
Alex Kontorovich
Michael Magee
|
|
+
|
On uniformly bounded basis in spaces of holomorphic functions
|
2015
|
Jean Bourgain
|
|
+
|
Decoupling for perturbed cones and mean square of $|ζ(\frac 12+it)|$
|
2015
|
Jean Bourgain
Nigel Watt
|
|
+
|
Mean value estimates for Weyl sums in two dimensions
|
2015
|
Jean Bourgain
Ciprian Demeter
|
|
+
PDF
|
A new function space and applications
|
2015
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
|
Sidonicity and variants of Kaczmarz's problem
|
2015
|
Jean Bourgain
Mark Lewko
|
|
+
|
On Random Walks in large compact Lie groups
|
2015
|
Jean Bourgain
|
|
+
|
Markoff Triples and Strong Approximation
|
2015
|
Jean Bourgain
Alex Gamburd
Peter Sarnak
|
|
+
|
Chapter Three On Oscillatory Integral Operators in Higher Dimensions
|
2014
|
Jean Bourgain
|
|
+
PDF
Chat
|
Prescribing the binary digits of primes, II
|
2014
|
Jean Bourgain
|
|
+
|
The Affine Sieve Beyond Expansion I: Thin Hypotenuses: Fig. 1.
|
2014
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On an endpoint Kato-Ponce inequality
|
2014
|
Jean Bourgain
Dong Li
|
|
+
PDF
Chat
|
Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces
|
2014
|
Jean Bourgain
Dong Li
|
|
+
PDF
Chat
|
Multiplicative congruences with variables from short intervals
|
2014
|
Jean Bourgain
Moubariz Z. Garaev
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
PDF
Chat
|
Monotone Boolean functions capture their primes
|
2014
|
Jean Bourgain
|
|
+
|
Decouplings for curves and hypersurfaces with nonzero Gaussian curvature
|
2014
|
Jean Bourgain
Ciprian Demeter
|
|
+
PDF
Chat
|
Sumsets of reciprocals in prime fields and multilinear Kloosterman sums
|
2014
|
Jean Bourgain
M. Z. Garaev
|
|
+
|
Decoupling, exponential sums and the Riemann zeta function
|
2014
|
Jean Bourgain
|
|
+
PDF
|
Perimeter of sets and BMO-type norms
|
2014
|
Luigi Ambrosio
Jean Bourgain
Haı̈m Brezis
Alessio Figalli
|
|
+
|
BMO-type norms related to the perimeter of sets
|
2014
|
Luigi Ambrosio
Jean Bourgain
Haı̈m Brezis
Alessio Figalli
|
|
+
|
$l^p$ decouplings for hypersurfaces with nonzero Gaussian curvature
|
2014
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
Decoupling inequalities and some mean-value theorems
|
2014
|
Jean Bourgain
|
|
+
PDF
|
Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball II: the 3d case
|
2014
|
Jean Bourgain
Aynur Bulut
|
|
+
PDF
Chat
|
On L p -Resolvent Estimates and the Density of Eigenvalues for Compact Riemannian Manifolds
|
2014
|
Jean Bourgain
Peng Shao
Christopher D. Sogge
Xiaohua Yao
|
|
+
|
Beyond Expansion II: Low-Lying Fundamental Geodesics
|
2014
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
|
Additive Patterns in Multiplicative Subgroups
|
2014
|
Noga Alon
Jean Bourgain
|
|
+
|
A Finitary Hasse Principle for Diagonal Curves
|
2014
|
Jean Bourgain
Michael Larsen
|
|
+
PDF
Chat
|
On the Hardy-Littlewood maximal function for the cube
|
2014
|
Jean Bourgain
|
|
+
PDF
|
On Zaremba's conjecture
|
2014
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
The proof of the $l^2$ Decoupling Conjecture
|
2014
|
Jean Bourgain
Ciprian Demeter
|
|
+
PDF
Chat
|
Quantum Recurrence of a Subspace and Operator-Valued Schur Functions
|
2014
|
Jean Bourgain
Branko Grünbaum
L. Velázquez
Jon Wilkening
|
|
+
PDF
|
A Problem on Sums of Two Squares
|
2014
|
Enrico Bombieri
Jean Bourgain
|
|
+
|
New Bounds for the Discrete Fourier Restriction to the Sphere in 4D and 5D
|
2014
|
Jean Bourgain
C.P. Demeter
|
|
+
PDF
Chat
|
A Remark on Solutions of the Pell Equation
|
2014
|
Jean Bourgain
|
|
+
PDF
Chat
|
On toral eigenfunctions and the random wave model
|
2014
|
Jean Bourgain
|
|
+
PDF
Chat
|
An application of group expansion to the Anderson-Bernoulli model
|
2014
|
Jean Bourgain
|
|
+
|
Affine extractors over large fields with exponential error
|
2014
|
Jean Bourgain
Zeev Dvir
Ethan Leeman
|
|
+
|
On Oscillatory Integral Operators in Higher Dimensions
|
2014
|
Jean Bourgain
|
|
+
PDF
Chat
|
On the Local Eigenvalue Spacings for Certain Anderson-Bernoulli Hamiltonians
|
2014
|
Jean Bourgain
|
|
+
PDF
Chat
|
On Eigenvalue Spacings for the 1-D Anderson Model with Singular Site Distribution
|
2014
|
Jean Bourgain
|
|
+
|
Influential coalitions for Boolean Functions
|
2014
|
Jean Bourgain
Jeff Kahn
Gil Kalai
|
|
+
|
On the Control Problem for Schrödinger Operators on Tori
|
2014
|
Jean Bourgain
|
|
+
PDF
|
Сумма множеств, образованных обратными элементами в полях простого порядка, и полилинейные суммы Клоостермана
|
2014
|
Жан Бургейн
Jean Bourgain
M. Z. Garaev
Moubariz Z. Garaev
|
|
+
|
Affine extractors over large fields with exponential error.
|
2014
|
Jean Bourgain
Zeev Dvir
Ethan Leeman
|
|
+
|
Strong illposedness of the incompressible Euler equation in integer $C^m$ spaces
|
2014
|
Jean Bourgain
Dong Li
|
|
+
PDF
|
Kloosterman sums in residue rings
|
2014
|
Jean Bourgain
M. Z. Garaev
|
|
+
|
Affine extractors over large fields with exponential error
|
2014
|
Jean Bourgain
Zeev Dvir
Ethan Leeman
|
|
+
|
The proof of the $l^2$ Decoupling Conjecture
|
2014
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
$l^p$ decouplings for hypersurfaces with nonzero Gaussian curvature
|
2014
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
A Finitary Hasse Principle for Diagonal Curves
|
2014
|
Jean Bourgain
Michael Larsen
|
|
+
|
Beyond Expansion II: Low-Lying Fundamental Geodesics
|
2014
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Decoupling inequalities and some mean-value theorems
|
2014
|
Jean Bourgain
|
|
+
|
Decoupling, exponential sums and the Riemann zeta function
|
2014
|
Jean Bourgain
|
|
+
|
Decouplings for curves and hypersurfaces with nonzero Gaussian curvature
|
2014
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
BMO-type norms related to the perimeter of sets
|
2014
|
Luigi Ambrosio
Jean Bourgain
Haı̈m Brezis
Alessio Figalli
|
|
+
|
An Improved Estimate in the Restricted Isometry Problem
|
2014
|
Jean Bourgain
|
|
+
|
A Note on Lyapunov Exponents of Deterministic Strongly Mixing Potentials
|
2013
|
Jean Bourgain
Eric Bourgain-Chang
|
|
+
PDF
Chat
|
On Pleijel's Nodal Domain Theorem
|
2013
|
Jean Bourgain
|
|
+
|
On quadratic irrationals with bounded partial quotients
|
2013
|
Jean Bourgain
|
|
+
|
A remark on solutions of the Pell equation
|
2013
|
Jean Bourgain
|
|
+
|
Toward a unified theory of sparse dimensionality reduction in Euclidean space
|
2013
|
Jean Bourgain
Sjoerd Dirksen
Jelani Nelson
|
|
+
|
Beyond Expansion IV: Traces of Thin Semigroups
|
2013
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: The 2D case
|
2013
|
Jean Bourgain
Aynur Bulut
|
|
+
|
Character Sums and Deterministic Polynomial Root Finding in Finite Fields
|
2013
|
Jean Bourgain
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
Nodal intersections and Lp restriction theorems on the torus
|
2013
|
Jean Bourgain
Zeév Rudnick
|
|
+
|
On Pleijel's nodal domain theorem
|
2013
|
Jean Bourgain
|
|
+
PDF
Chat
|
A Lower Bound for the Lyapounov Exponents of the Random Schrödinger Operator on a Strip
|
2013
|
Jean Bourgain
|
|
+
PDF
|
Corrigendum to “Apollonian Circle Packings and Prime Curvatures”
|
2013
|
Jean Bourgain
|
|
+
|
On the correlation of the Moebius functionwith rank-one systems
|
2013
|
Jean Bourgain
|
|
+
|
An application of group expansion to the Anderson-Bernoulli model
|
2013
|
Jean Bourgain
|
|
+
PDF
|
Control for Schrödinger operators on 2-tori: rough potentials
|
2013
|
Jean Bourgain
Nicolas Burq
Maciej Zworski
|
|
+
PDF
Chat
|
On the local-global conjecture for integral Apollonian gaskets
|
2013
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3d ball
|
2013
|
Jean Bourgain
Aynur Bulut
|
|
+
|
Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3D ball
|
2013
|
Jean Bourgain
Aynur Bulut
|
|
+
PDF
Chat
|
On congruences with products of variables from short intervals and applications
|
2013
|
Jean Bourgain
Moubariz Z. Garaev
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
Möbius-Walsh correlation bounds and an estimate of Mauduit and Rivat
|
2013
|
Jean Bourgain
|
|
+
PDF
Chat
|
On the Schrödinger maximal function in higher dimension
|
2013
|
Jean Bourgain
|
|
+
PDF
|
On the Morse–Sard property and level sets of W<sup> <i>n</i>,1</sup> Sobolev functions on ℝ<sup> <i>n</i> </sup>
|
2013
|
Jean Bourgain
Mikhail V. Korobkov
Jan Kristensen
|
|
+
|
On toral eigenfunctions and the random wave model
|
2013
|
Jean Bourgain
|
|
+
PDF
Chat
|
On the Fourier-Walsh spectrum of the Moebius function
|
2013
|
Jean Bourgain
|
|
+
|
Expansion in SL 2 $${(\mathbb{R})}$$ and monotone expanders
|
2013
|
Jean Bourgain
Amir Yehudayoff
|
|
+
PDF
|
On the Morse–Sard property and level sets of Sobolev and BV functions
|
2013
|
Jean Bourgain
Mikhail V. Korobkov
Jan Kristensen
|
|
+
|
Control for Schr\"odinger equations on 2-tori: rough potentials
|
2013
|
Jean Bourgain
Nicolas Burq
Maciej Zworski
|
|
+
|
Around the Sum-product Phenomenon
|
2013
|
Jean Bourgain
|
|
+
PDF
Chat
|
On the Lyapounov Exponents of Schrödinger Operators Associated with the Standard Map
|
2013
|
Jean Bourgain
|
|
+
|
New bounds for the discrete Fourier restriction to the sphere in four and five dimensions
|
2013
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
The Affine Sieve Beyond Expansion I: Thin Hypotenuses
|
2013
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Kloosterman sums in residue rings
|
2013
|
Jean Bourgain
M. Z. Garaev
|
|
+
|
Prescribin the binary digits of the primes, II
|
2013
|
Jean Bourgain
|
|
+
|
Strong Ill-posedness of the incompressible Euler equation in borderline Sobolev spaces
|
2013
|
Jean Bourgain
Dong Li
|
|
+
PDF
|
Improved estimates for the discrete Fourier restriction to the higher dimensional sphere
|
2013
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
On Pleijel's nodal domain theorem
|
2013
|
Jean Bourgain
|
|
+
|
Control for Schrödinger equations on 2-tori: rough potentials
|
2013
|
Jean Bourgain
Nicolas Burq
Maciej Zworski
|
|
+
|
Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3D ball
|
2013
|
Jean Bourgain
Aynur Bulut
|
|
+
|
On quadratic irrationals with bounded partial quotients
|
2013
|
Jean Bourgain
|
|
+
|
A remark on solutions of the Pell equation
|
2013
|
Jean Bourgain
|
|
+
|
Character Sums and Deterministic Polynomial Root Finding in Finite Fields
|
2013
|
Jean Bourgain
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
Nodal intersections and Lp restriction theorems on the torus
|
2013
|
Jean Bourgain
Zeév Rudnick
|
|
+
|
On Eigenvalue spacings for the 1-D Anderson model with singular site distribution
|
2013
|
Jean Bourgain
|
|
+
|
Toward a unified theory of sparse dimensionality reduction in Euclidean space
|
2013
|
Jean Bourgain
Sjoerd Dirksen
Jelani Nelson
|
|
+
|
An application of group expansion to the Anderson-Bernoulli model
|
2013
|
Jean Bourgain
|
|
+
|
A Note on Lyapunov Exponents of Deterministic Strongly Mixing Potentials
|
2013
|
Jean Bourgain
Eric Bourgain-Chang
|
|
+
|
Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball II: the 3D case
|
2013
|
Jean Bourgain
Aynur Bulut
|
|
+
|
Beyond Expansion IV: Traces of Thin Semigroups
|
2013
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On toral eigenfunctions and the random wave model
|
2013
|
Jean Bourgain
|
|
+
|
On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians
|
2013
|
Jean Bourgain
|
|
+
|
The essential centre of the mod a diagonalization ideal commutant of an n-tuple of commuting hermitian operators
|
2013
|
Jean Bourgain
Dan-Virgil Voiculescu
|
|
+
|
Uniform approximation of partial sums of a Dirichlet series by shorter sums and Φ-widths
|
2012
|
Jean Bourgain
Борис Сергеевич Кашин
|
|
+
|
On the Hardy-Littlewood maximal function for the cube
|
2012
|
Jean Bourgain
|
|
+
PDF
Chat
|
Bounds on the density of states for Schrödinger operators
|
2012
|
Jean Bourgain
Abel Klein
|
|
+
|
Monotone Boolean functions capture their primes
|
2012
|
Jean Bourgain
|
|
+
|
A prime number theorem for the majority function
|
2012
|
Jean Bourgain
|
|
+
|
Multiplicative Congruences with Variables from Short Intervals
|
2012
|
Jean Bourgain
Moubariz Z. Garaev
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
PDF
Chat
|
Integral Apollonian circle packings and prime curvatures
|
2012
|
Jean Bourgain
|
|
+
PDF
|
A modular Szemerédi–Trotter theorem for hyperbolas
|
2012
|
Jean Bourgain
|
|
+
PDF
|
A spectral gap theorem in SU$(d)$
|
2012
|
Jean Bourgain
Alex Gamburd
|
|
+
|
A modular Szemeredi-Trotter theorem for hyperbolas
|
2012
|
Jean Bourgain
|
|
+
|
Partial quotients and representation of rational numbers
|
2012
|
Jean Bourgain
|
|
+
PDF
Chat
|
Restriction of toral eigenfunctions to hypersurfaces and nodal sets
|
2012
|
Jean Bourgain
Zeév Rudnick
|
|
+
PDF
|
Partial quotients and representation of rational numbers
|
2012
|
Jean Bourgain
|
|
+
|
Disjointness of Moebius from Horocycle Flows
|
2012
|
Jean Bourgain
Peter Sarnak
Tamar Ziegler
|
|
+
PDF
Chat
|
Prescribing the binary digits of primes
|
2012
|
Jean Bourgain
|
|
+
PDF
Chat
|
Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
|
2012
|
Jean Bourgain
|
|
+
PDF
Chat
|
On the Furstenberg measure and density of states for the Anderson-Bernoulli model at small disorder
|
2012
|
Jean Bourgain
|
|
+
PDF
|
Gibbs measure evolution in radial nonlinear wave and Schrödinger equations on the ball
|
2012
|
Jean Bourgain
Aynur Bulut
|
|
+
|
On the Local-Global Conjecture for integral Apollonian gaskets
|
2012
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On the Strong Density Conjecture for Integral Apollonian Circle Packings
|
2012
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Monotone expansion
|
2012
|
Jean Bourgain
Amir Yehudayoff
|
|
+
|
Improved estimates for the discrete Fourier restriction to the higher dimensional sphere
|
2012
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
Gibbs measure evolution in radial nonlinear wave and Schr\"odinger equations on the ball
|
2012
|
Jean Bourgain
Aynur Bulut
|
|
+
|
On arithmetic progressions in sums of sets of integers
|
2012
|
Jean Bourgain
|
|
+
|
On Congruences with Products of Variables from Short Intervals and Applications
|
2012
|
Jean Bourgain
Moubariz Z. Garaev
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
On the Schrodinger maximal function in higher dimension
|
2012
|
Jean Bourgain
|
|
+
|
On the Morse-Sard property and level sets of $W^{n,1}$ Sobolev functions on ${\mathbb R}^n$
|
2012
|
Jean Bourgain
Mikhail V. Korobkov
Jan Kristensen
|
|
+
|
Sumsets of reciprocals in prime fields and multilinear Kloosterman sums
|
2012
|
Jean Bourgain
M. Z. Garaev
|
|
+
PDF
Chat
|
On Representation of Integers by Binary Quadratic Forms
|
2012
|
Jean Bourgain
Elena Fuchs
|
|
+
|
GIBBS MEASURE EVOLUTION IN RADIAL NONLINEAR WAVE AND SCHR ¨ ODINGER EQUATIONS ON THE BALL MESURES DE GIBBS ET ´ EQUATIONS NON-LIN ´ EAIRES DES ONDES ET SCHR ¨ ODINGER SUR LA BOULE
|
2012
|
Jean Bourgain
Aynur Bulut
|
|
+
PDF
|
О равномерном приближении частной суммы ряда Дирихле более короткой суммой и $\Phi$-поперечниках
|
2012
|
Жан Бургейн
Jean Bourgain
Борис Сергеевич Кашин
Борис Сергеевич Кашин
|
|
+
|
On $L^p$-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds
|
2012
|
Jean Bourgain
Peng Shao
Christopher D. Sogge
Xiaohua Yao
|
|
+
PDF
Chat
|
On the Hidden Shifted Power Problem
|
2012
|
Jean Bourgain
Moubariz Z. Garaev
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
Moebius Schrödinger
|
2012
|
Jean Bourgain
|
|
+
|
On the Morse-Sard property and level sets of $W^{n,1}$ Sobolev functions on ${\mathbb R}^n$
|
2012
|
Jean Bourgain
Mikhail V. Korobkov
Jan Kristensen
|
|
+
|
Monotone Boolean functions capture their primes
|
2012
|
Jean Bourgain
|
|
+
|
On Congruences with Products of Variables from Short Intervals and Applications
|
2012
|
Jean Bourgain
Moubariz Z. Garaev
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
Multiplicative Congruences with Variables from Short Intervals
|
2012
|
Jean Bourgain
Moubariz Z. Garaev
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
Gibbs measure evolution in radial nonlinear wave and Schrödinger equations on the ball
|
2012
|
Jean Bourgain
Aynur Bulut
|
|
+
|
On the Hardy-Littlewood maximal function for the cube
|
2012
|
Jean Bourgain
|
|
+
|
A prime number theorem for the majority function
|
2012
|
Jean Bourgain
|
|
+
|
Improved estimates for the discrete Fourier restriction to the higher dimensional sphere
|
2012
|
Jean Bourgain
Ciprian Demeter
|
|
+
|
On the Schrodinger maximal function in higher dimension
|
2012
|
Jean Bourgain
|
|
+
|
Local statistics of lattice points on the sphere
|
2012
|
Jean Bourgain
Peter Sarnak
Zeév Rudnick
|
|
+
|
A modular Szemeredi-Trotter theorem for hyperbolas
|
2012
|
Jean Bourgain
|
|
+
|
On the Lyapounov exponents of Schrodinger operators associated with the standard map
|
2012
|
Jean Bourgain
|
|
+
|
On the Local-Global Conjecture for integral Apollonian gaskets
|
2012
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Partial quotients and representation of rational numbers
|
2012
|
Jean Bourgain
|
|
+
|
Finitely Supported Measures on $$S{L}_{2}(\mathbb{R})$$ Which are Absolutely Continuous at Infinity
|
2012
|
Jean Bourgain
|
|
+
|
On the Fourier-Walsh Spectrum on the Moebius Function
|
2011
|
Jean Bourgain
|
|
+
|
On the correlation of the Moebius function with random rank-one systems
|
2011
|
Jean Bourgain
|
|
+
PDF
Chat
|
Bounds on Oscillatory Integral Operators Based on Multilinear Estimates
|
2011
|
Jean Bourgain
Larry Guth
|
|
+
|
On the Hidden Shifted Power Problem
|
2011
|
Jean Bourgain
Moubariz Z. Garaev
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
A Spectral Gap Theorem in $SU(d)$
|
2011
|
Jean Bourgain
Alex Gamburd
|
|
+
|
Monotone expansion
|
2011
|
Jean Bourgain
Amir Yehudayoff
|
|
+
PDF
Chat
|
Expansion in SL d (Z/q Z), q arbitrary
|
2011
|
Jean Bourgain
Péter P. Varjú
|
|
+
|
On A Conjecture of Zaremba's
|
2011
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
Chat
|
Explicit constructions of RIP matrices and related problems
|
2011
|
Jean Bourgain
S. J. Dilworth
Kevin Ford
Sergeĭ Konyagin
Denka Kutzarova
|
|
+
|
Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
|
2011
|
Jean Bourgain
|
|
+
|
A proof of the positive density conjecture for integer Apollonian circle packings
|
2011
|
Jean Bourgain
Elena Fuchs
|
|
+
|
Breaking the k <sup>2</sup> barrier for explicit RIP matrices
|
2011
|
Jean Bourgain
S. J. Dilworth
Kevin Ford
Sergeĭ Konyagin
Denka Kutzarova
|
|
+
|
Exponential sum estimates over a subgroup in an arbitrary finite field
|
2011
|
Jean Bourgain
A. Glibichuk
|
|
+
PDF
Chat
|
Distribution of Elements of Cosets of Small Subgroups and Applications
|
2011
|
Jean Bourgain
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
Integral Apollonian circle packings and prime curvatures
|
2011
|
Jean Bourgain
|
|
+
|
Prescribing the binary digits of primes
|
2011
|
Jean Bourgain
|
|
+
|
Restriction of toral eigenfunctions to hypersurfaces and nodal sets
|
2011
|
Jean Bourgain
Zeév Rudnick
|
|
+
|
On Zarembaʼs conjecture
|
2011
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
|
On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus
|
2011
|
Jean Bourgain
Zeév Rudnick
|
|
+
|
Distribution of Elements of Cosets of Small Subgroups and Applications
|
2011
|
Jean Bourgain
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
On the Furstenberg measure and density of states for the Anderson-Bernoulli model at small disorder
|
2011
|
Jean Bourgain
|
|
+
|
Breaking the k 2 Barrier for Explicit RIP Matrices (Extended Abstract)
|
2011
|
Jean Bourgain
S. J. Dilworth
Kevin Ford
Sergeĭ Konyagin
Denka Kutzarova
|
|
+
PDF
|
On the parity of k-th powers modulo p. A generalization of a problem of Lehmer
|
2011
|
Jean Bourgain
Todd Cochrane
Jennifer Paulhus
Christopher Pinner
|
|
+
PDF
|
Generalization of Selberg’s $ \frac{3}{{16}} $ theorem and affine sieve
|
2011
|
Jean Bourgain
Alex Gamburd
Peter Sarnak
|
|
+
|
Moebius-Walsh correlation bounds and an estimate of Mauduit and Rivat
|
2011
|
Jean Bourgain
|
|
+
|
On representation of integers by binary quadratic forms
|
2011
|
Jean Bourgain
Elena Fuchs
|
|
+
|
Monotone expansion
|
2011
|
Jean Bourgain
Amir Yehudayoff
|
|
+
|
On the Hidden Shifted Power Problem
|
2011
|
Jean Bourgain
Moubariz Z. Garaev
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
Prescribing the binary digits of primes
|
2011
|
Jean Bourgain
|
|
+
|
On the correlation of the Moebius function with random rank-one systems
|
2011
|
Jean Bourgain
|
|
+
|
A Spectral Gap Theorem in $SU(d)$
|
2011
|
Jean Bourgain
Alex Gamburd
|
|
+
|
On the Fourier-Walsh Spectrum on the Moebius Function
|
2011
|
Jean Bourgain
|
|
+
|
Distribution on elements of cosets of small subgroups and applications
|
2011
|
Jean Bourgain
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
On the Furstenberg measure and density of states for the Anderson-Bernoulli model at small disorder
|
2011
|
Jean Bourgain
|
|
+
|
Distjointness of Mobius from horocycle flows
|
2011
|
Jean Bourgain
Peter Sarnak
Tamar Ziegler
|
|
+
|
Restriction of toral eigenfunctions to hypersurfaces and nodal sets
|
2011
|
Jean Bourgain
Zeév Rudnick
|
|
+
|
On Zaremba's Conjecture
|
2011
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Integral Apollonian circle packings and prime curvatures
|
2011
|
Jean Bourgain
|
|
+
|
Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
|
2011
|
Jean Bourgain
|
|
+
|
Distribution of Elements of Cosets of Small Subgroups and Applications
|
2011
|
Jean Bourgain
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
On Zaremba's Conjecture
|
2011
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
|
Bounds on oscillatory integral operators
|
2010
|
Jean Bourgain
Lawrence Guth
|
|
+
|
Moebius Schrodinger
|
2010
|
Jean Bourgain
|
|
+
PDF
Chat
|
On the nodal sets of toral eigenfunctions
|
2010
|
Jean Bourgain
Zeév Rudnick
|
|
+
|
Bounds on oscillatory integral operators based on multilinear estimates
|
2010
|
Jean Bourgain
Larry Guth
|
|
+
PDF
|
Erratum to: On Representations of Integers in Thin Subgroups of $${{\rm {SL}}_2(\mathbb {Z})}$$
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
The discretized sum-product and projection theorems
|
2010
|
Jean Bourgain
|
|
+
PDF
Chat
|
Sector Estimates for Hyperbolic Isometries
|
2010
|
Jean Bourgain
Alex Kontorovich
Peter Sarnak
|
|
+
|
On Representations of Integers in Thin Subgroups of $${{\rm SL}_2({\mathbb {Z}})}$$
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
|
On a theorem of Friedlander and Iwaniec
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On a Theorem of Friedlander and Iwaniec
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On the divisibility of Fermat quotients
|
2010
|
Jean Bourgain
Kevin Ford
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
On the Morse-Sard Property and Level Sets of Sobolev and BV Functions
|
2010
|
Jean Bourgain
Mikhail V. Korobkov
Jan Kristensen
|
|
+
|
Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus
|
2010
|
Jean Bourgain
Alex Furman
Elon Lindenstrauss
Shahar Mozes
|
|
+
|
Spectral gaps in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>d</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
|
2010
|
Jean Bourgain
Alexander Gamburd
|
|
+
|
New developments in combinatorial number theory and applications
|
2010
|
Jean Bourgain
|
|
+
|
New developments in combinatorial number theory and applications
|
2010
|
Jean Bourgain
|
|
+
|
Sur les s\'eries de Fourier des fonctions continues unimodulaires
|
2010
|
Jean Bourgain
Jean‐Pierre Kahane
|
|
+
|
Estimates on polynomial exponential sums
|
2010
|
Jean Bourgain
|
|
+
|
On the uniform approximation of the partial sum of the Dirichlet series by a shorter sum
|
2010
|
Jean Bourgain
Борис Сергеевич Кашин
|
|
+
|
Sector estimates for hyperbolic isometries
|
2010
|
Jean Bourgain
Alex Kontorovich
Peter Sarnak
|
|
+
|
A proof of the positive density conjecture for integer Apollonian circle packings
|
2010
|
Jean Bourgain
Elena Fuchs
|
|
+
PDF
|
On a multilinear character sum of Burgess
|
2010
|
Jean Bourgain
Mei-Chu Chang
|
|
+
PDF
|
Principe d’Heisenberg et fonctions positives
|
2010
|
Jean Bourgain
Laurent Clozel
Jean‐Pierre Kahane
|
|
+
|
On representations of integers in thin subgroups of SL(2,Z)
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Problems in Hamiltonian PDE’S
|
2010
|
Jean Bourgain
|
|
+
|
Sum-Product Theorems and Applications
|
2010
|
Jean Bourgain
|
|
+
PDF
|
О равномерном приближении частной суммы ряда Дирихле более короткой суммой
|
2010
|
Жан Бургейн
Jean Bourgain
Борис Сергеевич Кашин
Борис Сергеевич Кашин
|
|
+
|
Visions in Mathematics
|
2010
|
N. Alon
Jean Bourgain
Alain Connes
M. Gromov
Vitali Milman
|
|
+
|
On a Theorem of Friedlander and Iwaniec
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On the Morse-Sard Property and Level Sets of Sobolev and BV Functions
|
2010
|
Jean Bourgain
Mikhail V. Korobkov
Jan Kristensen
|
|
+
|
Sector estimates for hyperbolic isometries
|
2010
|
Jean Bourgain
Alex Kontorovich
Peter Sarnak
|
|
+
|
Bounds on oscillatory integral operators based on multilinear estimates
|
2010
|
Jean Bourgain
Larry Guth
|
|
+
|
A proof of the positive density conjecture for integer Apollonian circle packings
|
2010
|
Jean Bourgain
Elena Fuchs
|
|
+
|
Moebius Schrodinger
|
2010
|
Jean Bourgain
|
|
+
|
Chapter 1. On Strichartz’s Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori
|
2009
|
Jean Bourgain
|
|
+
|
Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation
|
2009
|
Jean Bourgain
WEILI WANG
|
|
+
|
Mathematical Aspects of Nonlinear Dispersive Equations (AM-163)
|
2009
|
Jean Bourgain
Carlos E. Kenig
Sergiù Klainerman
|
|
+
PDF
|
Affine linear sieve, expanders, and sum-product
|
2009
|
Jean Bourgain
Alex Gamburd
Peter Sarnak
|
|
+
PDF
|
Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n \mathbb{Z})$: II
|
2009
|
Jean Bourgain
Alex Gamburd
|
|
+
PDF
|
Sum-product theorems in algebraic number fields
|
2009
|
Jean Bourgain
Mei-Chu Chang
|
|
+
PDF
|
Restriction of toral eigenfunctions to hypersurfaces
|
2009
|
Jean Bourgain
Zeév Rudnick
|
|
+
|
On the distribution of the residues of small multiplicative subgroups of $$ \mathbb{F}_p $$
|
2009
|
Jean Bourgain
|
|
+
PDF
|
Some effective results for ×<i>a</i>×<i>b</i>
|
2009
|
Jean Bourgain
Elon Lindenstrauss
Philippe Michel
Akshay Venkatesh
|
|
+
|
On the singularity probability of discrete random matrices
|
2009
|
Jean Bourgain
Van H. Vu
Philip Matchett Wood
|
|
+
|
Geodesic restrictions and 𝐿^{𝑝}-estimates for eigenfunctions of Riemannian surfaces
|
2009
|
Jean Bourgain
|
|
+
PDF
|
Expanders and dimensional expansion
|
2009
|
Jean Bourgain
|
|
+
|
An Approach to Wegner’s Estimate Using Subharmonicity
|
2009
|
Jean Bourgain
|
|
+
|
Multilinear Exponential Sums in Prime Fields Under Optimal Entropy Condition on the Sources
|
2009
|
Jean Bourgain
|
|
+
|
Restriction of toral eigenfunctions to hypersurfaces
|
2009
|
Jean Bourgain
Zeév Rudnick
|
|
+
PDF
|
On the smallest pseudopower
|
2009
|
Jean Bourgain
Sergeĭ Konyagin
Carl Pomerance
Igor E. Shparlinski
|
|
+
|
Decimations of $\ell$-Sequences and Permutations of Even Residues $\modp$
|
2009
|
Jean Bourgain
Todd Cochrane
Jennifer Paulhus
Christopher Pinner
|
|
+
|
Generalization of Selberg's 3/16 Theorem and Affine Sieve
|
2009
|
Jean Bourgain
Alex Gamburd
Peter Sarnak
|
|
+
|
On the singularity probability of discrete random matrices
|
2009
|
Jean Bourgain
Van Vu
Philip Matchett Wood
|
|
+
PDF
|
Expansion and random walks in SLd(ℤ/pnℤ): I
|
2008
|
Jean Bourgain
Alex Gamburd
|
|
+
|
Roots of Polynomials in Subgroups of and Applications to Congruences
|
2008
|
Enrico Bombieri
Jean Bourgain
Sergeĭ Konyagin
|
|
+
|
Principe d'Heisenberg et fonctions positives
|
2008
|
Jean Bourgain
Laurent Clozel
Jean‐Pierre Kahane
|
|
+
PDF
|
Principe d'Heisenberg et fonctions positives
|
2008
|
Jean Bourgain
Laurent Clozel
Jean‐Pierre Kahane
|
|
+
PDF
|
Principe d'Heisenberg et fonctions positives
|
2008
|
Jean Bourgain
Laurent Clozel
Jean‐Pierre Kahane
|
|
+
|
On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
|
2008
|
Jean Bourgain
M. Z. Garaev
|
|
+
|
Ill-posedness of the Navier–Stokes equations in a critical space in 3D
|
2008
|
Jean Bourgain
Nataša Pavlović
|
|
+
|
Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm
|
2008
|
Jean Bourgain
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
|
Random walks and expansion in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msub><mml:mi mathvariant="normal">SL</mml:mi><mml:mi>d</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>p</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
|
2008
|
Jean Bourgain
Alex Gamburd
|
|
+
PDF
|
Quasi-periodic solutions of nonlinear random Schrödinger equations
|
2008
|
Jean Bourgain
Weimin Wang
|
|
+
PDF
|
Uniform expansion bounds for Cayley graphs of SL<sub>2</sub>(𝔽<sub>p</sub>)
|
2008
|
Jean Bourgain
Alex Gamburd
|
|
+
|
The sum-product theorem in ℤ q with q arbitrary
|
2008
|
Jean Bourgain
|
|
+
PDF
|
Distribution of consecutive modular roots of an integer
|
2008
|
Jean Bourgain
Igor E. Shparlinski
|
|
+
|
Roth’s theorem on progressions revisited
|
2008
|
Jean Bourgain
|
|
+
|
Quasi-periodic solutions of nonlinear random Schrödinger equations
|
2008
|
Jean Bourgain
W. M. Wang
|
|
+
|
Ill-posedness of the Navier-Stokes equations in a critical space in 3D
|
2008
|
Jean Bourgain
Nataša Pavlović
|
|
+
|
Expansion and random walks in $\mathrm {SL}_d(\mathbb {Z}/p^n\mathbb {Z})$: I
|
2008
|
Jean Bourgain
Alex Gamburd
|
|
+
|
On the absence of dynamical localization in higher dimensional random Schrödinger operators
|
2008
|
Jean Bourgain
|
|
+
|
On the spectral gap for finitely-generated subgroups of SU(2)
|
2007
|
Jean Bourgain
Alex Gamburd
|
|
+
|
Limit behaviour of large Frobenius numbers
|
2007
|
Jean Bourgain
Yakov G. Sinai
|
|
+
PDF
|
New estimates for elliptic equations and Hodge type systems
|
2007
|
Jean Bourgain
Haı̈m Brezis
|
|
+
PDF
|
Invariant measures and stiffness for non-Abelian groups of toral automorphisms
|
2007
|
Jean Bourgain
Alex Furman
Elon Lindenstrauss
Shahar Mozes
|
|
+
|
Anderson Localization for Quasi-Periodic Lattice Schrödinger Operators on $${\mathbb{Z}}^{d}$$ , d Arbitrary
|
2007
|
Jean Bourgain
|
|
+
|
On the minimum norm of representatives of residue classes in number fields
|
2007
|
Jean Bourgain
Mei-Chu Chang
|
|
+
|
A Remark on Quantum Ergodicity for CAT Maps
|
2007
|
Jean Bourgain
|
|
+
|
Some Arithmetical Applications of the Sum-Product Theorems in Finite Fields
|
2007
|
Jean Bourgain
|
|
+
|
Exponential sum estimates in finite commutative rings and applications
|
2007
|
Jean Bourgain
|
|
+
PDF
|
Sum–product theorems and exponential sum bounds in residue classes for general modulus
|
2007
|
Jean Bourgain
|
|
+
|
On the Construction of Affine Extractors
|
2007
|
Jean Bourgain
|
|
+
|
Mathematical aspects of nonlinear dispersive equations
|
2007
|
Jean Bourgain
Carlos E. Kenig
Sergiù Klainerman
|
|
+
|
A New Approach to Spectral Gap Problems
|
2007
|
Jean Bourgain
|
|
+
|
A new approach to spectral graph problems
|
2007
|
Jean Bourgain
|
|
+
|
Estimates of bernstein widths of sobolev spaces
|
2006
|
Jean Bourgain
M. Gromov
|
|
+
|
On kolmogorov's rearrangement problem for orthogonal systems and garsia's conjecture
|
2006
|
Jean Bourgain
|
|
+
|
On the duality problem for entropy numbers of operators
|
2006
|
Jean Bourgain
Alain Pajor
Stanisław J. Szarek
Nicole Tomczak-Jaegermann
|
|
+
|
Almost euclidean sections in spaces with a symmetric basis
|
2006
|
Jean Bourgain
Joram Lindenstrauss
|
|
+
|
Geometrical implications of certain finite dimensional structures
|
2006
|
Jean Bourgain
|
|
+
|
Geometry of finite dimensional subspaces and quotients of L p
|
2006
|
Jean Bourgain
N. J. Kalton
Lior Tzafriri
|
|
+
|
On the behavior of the constant in the littlewood-paley inequality
|
2006
|
Jean Bourgain
|
|
+
|
Sieving and expanders⁎⁎The first author was supported in part by NSF grant DMS-0322370. The second author was supported in part by NSF grant DMS-0111298 and DMS-0501245. The third author was supported in part by Oscar Veblen Fund (IAS) and the NSF.
|
2006
|
Jean Bourgain
Alex Gamburd
Peter Sarnak
|
|
+
PDF
|
A new characterization of Sobolev spaces
|
2006
|
Jean Bourgain
Hoài-Minh Nguyên
|
|
+
|
New results on expanders
|
2006
|
Jean Bourgain
Alex Gamburd
|
|
+
|
ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
|
2006
|
Jean Bourgain
A. A. Glibichuk
Sergeĭ Konyagin
|
|
+
|
Exponential sum estimates over subgroups and almost subgroups of $$ \mathbb{Z}_{Q}^{*} $$ , where Q is composite with few prime factors
|
2006
|
Jean Bourgain
Mei-Chu Chang
|
|
+
PDF
|
A Gauss sum estimate in arbitrary finite fields
|
2006
|
Jean Bourgain
Mei-Chu Chang
|
|
+
|
On an exponential sum related to the Diffie-Hellman cryptosystem
|
2006
|
Jean Bourgain
|
|
+
PDF
|
Nonlinear Schrödinger equation with a random potential
|
2006
|
Jean Bourgain
|
|
+
|
One cannot hear the winding number
|
2006
|
Jean Bourgain
Gady Kozma
|
|
+
|
Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
|
2005
|
Jean Bourgain
|
|
+
|
Exponential sum estimates over subgroups ofZ * q,q arbitrary,q arbitrary
|
2005
|
Jean Bourgain
|
|
+
|
Positivity and continuity of the Lyapounov exponent for shifts on T d with arbitrary frequency vector and real analytic potentiald with arbitrary frequency vector and real analytic potential
|
2005
|
Jean Bourgain
|
|
+
PDF
|
A new estimate for the topological degree
|
2005
|
Jean Bourgain
Haïm Brezis
Hoai-Minh Nguyen
|
|
+
PDF
|
Estimation of certain exponential sums arising in complexity theory
|
2005
|
Jean Bourgain
|
|
+
|
MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
|
2005
|
Jean Bourgain
|
|
+
|
On localization in the continuous Anderson-Bernoulli model in higher dimension
|
2005
|
Jean Bourgain
Carlos E. Kenig
|
|
+
|
Estimates on exponential sums related to the Diffie–Hellman Distributions
|
2005
|
Jean Bourgain
|
|
+
|
Mordell’s exponential sum estimate revisited
|
2005
|
Jean Bourgain
|
|
+
|
New Encounters in Combinatorial Number Theory: From the Kakeya Problem to Cryptography
|
2005
|
Jean Bourgain
|
|
+
PDF
|
A new estimate for the topological degree
|
2005
|
Jean Bourgain
Haı̈m Brezis
Hoài-Minh Nguyên
|
|
+
|
Anderson—Bernoulli Models
|
2005
|
Jean Bourgain
|
|
+
|
A remark on normal forms and the “I-method” for periodic NLS
|
2004
|
Jean Bourgain
|
|
+
|
Lifting, degree, and distributional Jacobian revisited
|
2004
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
|
Green's Function Estimates for Lattice Schrödinger Operators and Applications.
|
2004
|
Jean Bourgain
|
|
+
PDF
|
Sum-product theorem and exponential sum estimates in residue classes with modulus involving few prime factors
|
2004
|
Jean Bourgain
Mei-Chu Chang
|
|
+
PDF
|
Complements to the paper "Lifting, degree, and the Distributional Jacobian Revisited"
|
2004
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
PDF
|
Mordell type exponential sum estimates in fields of prime order
|
2004
|
Jean Bourgain
|
|
+
PDF
|
H1/2 maps with values into the circle: Minimal Connections, Lifting, and the Ginzburg–Landau equation
|
2004
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
|
Anderson Localization for Time Quasi-Periodic Random Schrödinger and Wave Equations
|
2004
|
Jean Bourgain
Weimin Wang
|
|
+
PDF
|
New bounds on exponential sums related to the Diffie–Hellman distributions
|
2004
|
Jean Bourgain
|
|
+
PDF
|
New estimates for the Laplacian, the div–curl, and related Hodge systems
|
2004
|
Jean Bourgain
Haı̈m Brezis
|
|
+
PDF
Chat
|
A sum-product estimate in finite fields, and applications
|
2004
|
Jean Bourgain
Nets Hawk Katz
Terence Tao
|
|
+
PDF
|
Недавний прогресс в квазипериодических решеточных операторах Шрeдингера и гамильтоновых дифференциальных уравнениях с частными производными
|
2004
|
Жан Бургейн
Jean Bourgain
|
|
+
|
None
|
2004
|
Enrico Bombieri
Jean Bourgain
|
|
+
|
On Localization for Lattice Schrödinger Operators Involving Bernoulli Variables
|
2004
|
Jean Bourgain
|
|
+
|
Symmetrization and Isotropic Constants of Convex Bodies
|
2004
|
Jean Bourgain
Bo’az Klartag
Vitali Milman
|
|
+
|
H [1/2] maps with values into the circle : Minimal Connections, Lifting, and the Ginzburg–Landau equation . Sous-groupes canoniques et cycles évanescents p-adiques pour les variétés abéliennes . Functoriality for the classical groups . The Hochschild cohomology of a closed manifold
|
2004
|
Jean Bourgain
H. Brézis
Petru Mironescu
Ahmed Abbes
A. Mokrane
James Cogdell
Yves Félix
J.-C. Thomas
Micheline Vigué-Poirrier
|
|
+
PDF
|
On the size of $k$-fold sum and product sets of integers
|
2003
|
Jean Bourgain
Mei-Chu Chang
|
|
+
PDF
|
On multiple sum and product sets of finite sets of integers
|
2003
|
Jean Bourgain
Mei-Chu Chang
|
|
+
PDF
|
On quasi-periodic lattice Schrödinger operators
|
2003
|
Jean Bourgain
|
|
+
PDF
|
Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order
|
2003
|
Jean Bourgain
Sergeĭ Konyagin
|
|
+
PDF
|
A reduction of the slicing problem to finite volume ratio bodies
|
2003
|
Jean Bourgain
Bo’az Klartag
Vitali Milman
|
|
+
|
Entropy of Quantum Limits
|
2003
|
Jean Bourgain
Elon Lindenstrauss
|
|
+
|
On the Erdős-Volkmann and Katz-Tao ring conjectures
|
2003
|
Jean Bourgain
|
|
+
|
On the Isotropy-Constant Problem for “PSI-2”-Bodies
|
2003
|
Jean Bourgain
|
|
+
|
On Long-Time Behaviour of Solutions of Linear Schrödinger Equations with Smooth Time-Dependent Potential
|
2003
|
Jean Bourgain
|
|
+
|
Random Lattice Schrödinger Operators with Decaying Potential: Some Higher Dimensional Phenomena
|
2003
|
Jean Bourgain
|
|
+
|
A sum-product estimate in finite fields, and applications
|
2003
|
Jean Bourgain
Nets Hawk Katz
Terence Tao
|
|
+
|
On the size of $k$-fold sum and product sets of integers
|
2003
|
Jean Bourgain
Mei-Chu Chang
|
|
+
|
Limiting embedding theorems forW s,p whens ↑ 1 and applications
|
2002
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
|
On the spectrum of lattice Schrödinger operators with deterministic potential
|
2002
|
Jean Bourgain
|
|
+
|
On the distribution of the fourier spectrum of Boolean functions
|
2002
|
Jean Bourgain
|
|
+
|
On the spectrum of lattice schrödinger operators with deterministic potential (II)
|
2002
|
Jean Bourgain
|
|
+
|
On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
|
2002
|
Jean Bourgain
Haı̈m Brezis
|
|
+
PDF
|
On the global Cauchy problem for the nonlinear Schrödinger equation
|
2002
|
Jean Bourgain
|
|
+
PDF
|
Exposants de Lyapounov pour opérateurs de Schrödinger discrètes quasi-périodiques
|
2002
|
Jean Bourgain
|
|
+
|
Estimates on Green's Functions, Localization and the Quantum Kicked Rotor Model
|
2002
|
Jean Bourgain
|
|
+
|
Absolutely continuous spectrum for 1D quasiperiodic operators
|
2002
|
Jean Bourgain
Svetlana Jitomirskaya
|
|
+
|
None
|
2002
|
Jean Bourgain
Svetlana Jitomirskaya
|
|
+
|
Sur l'équation divu=f
|
2002
|
Jean Bourgain
Haı̈m Brezis
|
|
+
PDF
|
On random Schrödinger operators on $\mathbb Z^2$
|
2002
|
Jean Bourgain
|
|
+
PDF
|
Anderson localization for Schrödinger operators on Z2 with quasi-periodic potential
|
2002
|
Jean Bourgain
Michael Goldstein
Wilhelm Schlag
|
|
+
|
Anderson Localization for Time Quasi Periodic Random Schödinger and Wave Operators
|
2002
|
Jean Bourgain
Weimin Wang
|
|
+
|
New results on the spectrum of lattice Schrödinger operators and applications
|
2002
|
Jean Bourgain
|
|
+
|
estimates for solutions to the Ginzburg–Landau equation with boundary data in
|
2001
|
Fabrice Béthuel
Jean Bourgain
Haïm Brézis
Giandomenico Orlandi
|
|
+
|
Anderson Localization for Schrödinger Operators on ℤ with Potentials Given by the Skew–Shift
|
2001
|
Jean Bourgain
Michael Goldstein
Wilhelm Schlag
|
|
+
|
Λ P-sets in Analysis: Results, Problems and Related Aspects
|
2001
|
Jean Bourgain
|
|
+
|
Canonical Sobolev projections of weak type (1,1)
|
2001
|
Earl Berkson
Jean Bourgain
A. Pełczyński
Michał Wojciechowski
|
|
+
PDF
|
Another look at Sobolev spaces
|
2001
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
|
Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
|
2001
|
Jean Bourgain
Svetlana Jitomirskaya
|
|
+
|
W^{1,p} estimates for solutions to the Ginzburg-Landau equation with boundary data in H^{1/2}.
|
2001
|
Fabrice Béthuel
Jean Bourgain
H. Brézis
Giandomenico Orlandi
|
|
+
PDF
|
Another look at Sobolev spaces
|
2001
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
PDF
|
Lifting in Sobolev spaces
|
2000
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
|
On diffusion in high-dimensional Hamiltonian systems and PDE
|
2000
|
Jean Bourgain
|
|
+
|
Anderson Localization for Schrödinger Operators on ℤ with Strongly Mixing Potentials
|
2000
|
Jean Bourgain
Wilhelm Schlag
|
|
+
PDF
Chat
|
On Nonperturbative Localization with Quasi-Periodic Potential
|
2000
|
Jean Bourgain
M. Goldstein
|
|
+
|
On nonperturbative localization with quasi-periodic potential
|
2000
|
Jean Bourgain
Michael Goldstein
|
|
+
|
On the structure of the Sobolev space H1/2 with values into the circle
|
2000
|
Jean Bourgain
Haı̈m Brezis
Petru Mironescu
|
|
+
|
Invariant Measures for NLS in Infinite Volume
|
2000
|
Jean Bourgain
|
|
+
|
Anderson localization for the band model
|
2000
|
Jean Bourgain
Svetlana Jitomirskaya
|
|
+
|
None
|
2000
|
Jean Bourgain
|
|
+
|
Addendum: Discussions at the Dead Sea
|
2000
|
N. Alon
Jean Bourgain
Alain Connes
M. Gromov
Vitali Milman
|
|
+
|
None
|
2000
|
Jean Bourgain
|
|
+
|
On nonperturbative localization with quasi-periodic potential
|
2000
|
Jean Bourgain
Michael A. Goldstein
|
|
+
|
Positive lyapounov exponents for most energies
|
2000
|
Jean Bourgain
|
|
+
|
On Triples in Arithmetic Progression
|
1999
|
Jean Bourgain
|
|
+
|
On growth of sobolev norms in linear schrödinger equations with smooth time dependent potential
|
1999
|
Jean Bourgain
|
|
+
|
Growth of Sobolev Norms in Linear Schrödinger Equations with Quasi-Periodic Potential
|
1999
|
Jean Bourgain
|
|
+
|
Nonlinear Schrödinger equation with periodic boundary conditions
|
1999
|
Jean Bourgain
|
|
+
|
An overview of results on the Cauchy problem for NLS
|
1999
|
Jean Bourgain
|
|
+
|
On the Dimension of Kakeya Sets and Related Maximal Inequalities
|
1999
|
Jean Bourgain
|
|
+
PDF
|
Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
|
1999
|
Jean Bourgain
|
|
+
|
Nonlinear Schrödinger Equations
|
1999
|
Jean Bourgain
|
|
+
|
Scattering in the energy space and below for 3D NLS
|
1998
|
Jean Bourgain
|
|
+
PDF
|
Nonlinear Schrödinger equations
|
1998
|
Jean Bourgain
|
|
+
|
Threshold Intervals under Group Symmetries
|
1998
|
Jean Bourgain
Gil Kalai
|
|
+
|
On a generalization of the Busemann-Petty problem
|
1998
|
Jean Bourgain
Gaoyong Zhang
|
|
+
|
On the Distribution of Free Path Lengths¶for the Periodic Lorentz Gas
|
1998
|
Jean Bourgain
François Golse
Bernt Wennberg
|
|
+
|
Random Points in Isotropic Convex Sets
|
1998
|
Jean Bourgain
|
|
+
|
On nonlinear Schrödinger equations
|
1998
|
Jean Bourgain
|
|
+
|
Les relations entre les mathématiques et la physique théorique
|
1998
|
Jean Bourgain
|
|
+
|
On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in ℝD
|
1997
|
Jean Bourgain
|
|
+
|
Invariant measures for the Gross-Piatevskii equation
|
1997
|
Jean Bourgain
|
|
+
|
HAMILTONIAN METHODS IN NONLINEAR EVOLUTION EQUATIONS
|
1997
|
Jean Bourgain
|
|
+
|
Periodic Korteweg de Vries equation with measures as initial data
|
1997
|
Jean Bourgain
|
|
+
|
Construction of blowup solutions for the nonlinear Schrödinger equation with critical nonlinearity
|
1997
|
Jean Bourgain
W. Wang
|
|
+
PDF
|
The Cauchy problem for nonlinear Schrödinger equation (NLS) with critical nonlinearity
|
1997
|
Jean Bourgain
|
|
+
PDF
|
On Melnikov’s persistency problem
|
1997
|
Jean Bourgain
|
|
+
|
None
|
1997
|
Jean Bourgain
|
|
+
|
Gibbs measures, quasi-periodic solutions and nonlinear partial differential equations
|
1997
|
Jean Bourgain
|
|
+
|
Analysis results and problems related to lattice points on surfaces
|
1997
|
Jean Bourgain
|
|
+
PDF
|
Construction of approximative and almost periodic solutions of perturbed linear schrödinger and wave equations
|
1996
|
Jean Bourgain
|
|
+
|
Invariant measures for the2D-defocusing nonlinear Schrödinger equation
|
1996
|
Jean Bourgain
|
|
+
PDF
|
Gibbs Measures and Quasi-Periodic Solutions for Nonlinear Hamiltonian Partial Differential Equations
|
1996
|
Jean Bourgain
|
|
+
|
None
|
1996
|
Jean Bourgain
J. Colliander
|
|
+
|
None
|
1996
|
Jean Bourgain
|
|
+
|
Distribution of the error term for the number of lattice points inside a shifted ball
|
1996
|
Pavel Bleher
Jean Bourgain
|
|
+
PDF
|
Construction of periodic solutions of nonlinear wave equations in higher dimension
|
1995
|
Jean Bourgain
|
|
+
|
Uniqueness and free interpolation for logarithmic potentials and the cauchy problem for the laplace equation in 529-1529-1529-1
|
1995
|
А. Б. Александров
Jean Bourgain
M. Giesecke
V. P. Havin
Yu. Ya. Vymenets
|
|
+
PDF
|
Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equations
|
1995
|
Jean Bourgain
|
|
+
|
Remarks on Halasz-Montgomery Type Inequalities
|
1995
|
Jean Bourgain
|
|
+
|
Estimates for Cone Multipliers
|
1995
|
Jean Bourgain
|
|
+
PDF
|
Aspects of Long Time Behaviour of Solutions of Nonlinear Hamiltonian Evolution Equations
|
1995
|
Jean Bourgain
|
|
+
|
Harmonic Analysis and Nonlinear Partial Differential Equations
|
1995
|
Jean Bourgain
|
|
+
|
Some results on non-linear recurrence
|
1994
|
Vitaly Bergelson
Michael Boshernitzan
Jean Bourgain
|
|
+
PDF
|
Periodic nonlinear Schrödinger equation and invariant measures
|
1994
|
Jean Bourgain
|
|
+
PDF
|
On the Cauchy and invariant measure problem for the periodic Zakharov system
|
1994
|
Jean Bourgain
|
|
+
|
Hausdorff dimension and distance sets
|
1994
|
Jean Bourgain
|
|
+
|
A Harmonic Analysis Approach to Problems in Nonlinear Partial Differential Equations
|
1994
|
Jean Bourgain
|
|
+
|
Periodic Nonlinear Schrδdinger Equation
|
1994
|
Jean Bourgain
|
|
+
|
None
|
1994
|
Jean Bourgain
|
|
+
PDF
|
None
|
1994
|
Jean Bourgain
|
|
+
|
A Harmonic Analysis Approach to Problems in Nonlinear Partial Differential Equations
|
1994
|
Jean Bourgain
|
|
+
PDF
|
Restrictions from $ℝ^{n}$ to $ℤ^{n}$ of weak type (1,1) multipliers
|
1994
|
Nakhlé H. Asmar
Earl Berkson
Jean Bourgain
|
|
+
PDF
|
Convergence of ergodic averages on lattice random walks
|
1993
|
Jean Bourgain
|
|
+
|
On the Distribution of Dirichlet Sums
|
1993
|
Jean Bourgain
|
|
+
|
On the Cauchy problem for the Kadomstev-Petviashvili equation
|
1993
|
Jean Bourgain
|
|
+
|
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations
|
1993
|
Jean Bourgain
|
|
+
|
On the radial variation of bounded analytic functions on the disc
|
1993
|
Jean Bourgain
|
|
+
|
Exponential sums and nonlinear Schrödinger equations
|
1993
|
Jean Bourgain
|
|
+
|
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations
|
1993
|
Jean Bourgain
|
|
+
PDF
|
Approximating the ball by a minkowski sum of segments with equal length
|
1993
|
Jean Bourgain
Joram Lindenstrauss
|
|
+
|
On the spectral type of Ornstein's class one transformations
|
1993
|
Jean Bourgain
|
|
+
|
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schrodinger equations, II. The KdV-equation
|
1993
|
Jean Bourgain
|
|
+
|
None
|
1993
|
Jean Bourgain
|
|
+
|
A remark on the behaviour ofL p-multipliers and the range of operators acting onL p-spaces
|
1992
|
Jean Bourgain
|
|
+
|
The influence of variables in product spaces
|
1992
|
Jean Bourgain
Jeff Kahn
Gil Kalai
Yitzhak Katznelson
Nathan Linial
|
|
+
|
A remark on Schrödinger operators
|
1992
|
Jean Bourgain
|
|
+
|
Some consequences of Pisier’s approach to interpolation
|
1992
|
Jean Bourgain
|
|
+
|
L p -Estimates for oscillatory integrals in several variables
|
1991
|
Jean Bourgain
|
|
+
|
On the almost everywhere convergence of ergodic averages for power-bounded operators on LP-subspaces
|
1991
|
Earl Berkson
Jean Bourgain
T. A. Gillespie
|
|
+
|
On a problem of Kadison and Singer.
|
1991
|
Lior Tzafriri
Jean Bourgain
|
|
+
|
Besicovitch type maximal operators and applications to fourier analysis
|
1991
|
Jean Bourgain
|
|
+
|
On the Busemann-Petty problem for perturbations of the ball
|
1991
|
Jean Bourgain
|
|
+
|
On convering a set in R N by balls of the same diameter
|
1991
|
Jean Bourgain
Joram Lindenstrauss
|
|
+
|
Remarks on Montgomery's conjectures on dirichlet sums
|
1991
|
Jean Bourgain
|
|
+
|
On the restriction and multiplier problems in R3
|
1991
|
Jean Bourgain
|
|
+
|
On the distribution of polynomials on high dimensional convex sets
|
1991
|
Jean Bourgain
|
|
+
|
Problems of almost everywhere convergence related to harmonic analysis and number theory
|
1990
|
Jean Bourgain
|
|
+
|
Embeddingl p k in subspaces ofL p forp>2
|
1990
|
Jean Bourgain
Lior Tzafriri
|
|
+
|
Double recurrence and almost sure convergence.
|
1990
|
Jean Bourgain
|
|
+
PDF
|
A remark on gradients of harmonic functions in dimension ≥3
|
1990
|
Jean Bourgain
Thomas Wolff
|
|
+
PDF
|
Pointwise ergodic theorems for arithmetic sets
|
1989
|
Jean Bourgain
|
|
+
|
On Λ(p)-subsets of squares
|
1989
|
Jean Bourgain
|
|
+
|
Homogeneous polynomials on the ball and polynomial bases
|
1989
|
Jean Bourgain
|
|
+
|
Restricted invertibility of matrices and applications
|
1989
|
Jean Bourgain
L. Tzafiri
|
|
+
|
A remark on the maximal function associated to an analytic vector field
|
1989
|
Jean Bourgain
|
|
+
PDF
|
Bounded orthogonal systems and the Λ(p)-set problem
|
1989
|
Jean Bourgain
|
|
+
PDF
|
Approximation of zonoids by zonotopes
|
1989
|
Jean Bourgain
Joram Lindenstrauss
Vitali Milman
|
|
+
|
A nonlinear version of Roth's theorem for sets of positive density in the real line
|
1988
|
Jean Bourgain
|
|
+
|
A remark on the uncertainty principle for Hilbertian basis
|
1988
|
Jean Bourgain
|
|
+
|
The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization
|
1988
|
Jean Bourgain
Stanisław J. Szarek
|
|
+
|
Almost sure convergence and bounded entropy
|
1988
|
Jean Bourgain
|
|
+
|
Distribution of points on spheres and approximation by zonotopes
|
1988
|
Jean Bourgain
Joram Lindenstrauss
|
|
+
|
On the maximal ergodic theorem for certain subsets of the integers
|
1988
|
Jean Bourgain
|
|
+
|
On the pointwise ergodic theorem onL p for arithmetic sets
|
1988
|
Jean Bourgain
|
|
+
|
Vector-valued hausdorff-young inequalities and applications
|
1988
|
Jean Bourgain
|
|
+
|
On a geometric inequality
|
1988
|
Jean Bourgain
M. Meyer
Vitali Milman
Alain Pajor
|
|
+
|
On finite dimensional homogeneous Banach spaces
|
1988
|
Jean Bourgain
|
|
+
|
An approach to pointwise ergodic theorems
|
1988
|
Jean Bourgain
|
|
+
|
Minkowski sums and symmetrizations
|
1988
|
Jean Bourgain
Joram Lindenstrauss
Vitali Milman
|
|
+
|
Construction of sets of positive measure not containing an affine image of a given infinite structure
|
1987
|
Jean Bourgain
|
|
+
|
On the Hausdorff dimension of harmonic measure in higher dimension
|
1987
|
Jean Bourgain
|
|
+
|
Ruzsa’s problem on sets of recurrence
|
1987
|
Jean Bourgain
|
|
+
|
Invertibility of ‘large’ submatrices with applications to the geometry of Banach spaces and harmonic analysis
|
1987
|
Jean Bourgain
Lior Tzafriri
|
|
+
|
New volume ratio properties for convex symmetric bodies in ? n
|
1987
|
Jean Bourgain
Vitali Milman
|
|
+
|
Remarks on the extension of lipschitz maps defined on discrete sets and uniform homeomorphisms
|
1987
|
Jean Bourgain
|
|
+
PDF
|
A remark on entropy of Abelian groups and the invariant uniform approximation property
|
1987
|
Jean Bourgain
|
|
+
|
On dimension free maximal inequalities for convex symmetric bodies in ℜn
|
1987
|
Jean Bourgain
|
|
+
|
A density condition for analyticity of the restriction algebra
|
1987
|
Jean Bourgain
|
|
+
|
Complements of subspaces of ℓ p n ; p ≥1 which are uniquely determined
|
1987
|
Jean Bourgain
Lior Tzafriri
|
|
+
|
On lattice packing of convex symmetric sets in ℜn
|
1987
|
Jean Bourgain
|
|
+
|
Averages in the plane over convex curves and maximal operators
|
1986
|
Jean Bourgain
|
|
+
|
On High Dimensional Maximal Functions Associated to Convex Bodies
|
1986
|
Jean Bourgain
|
|
+
|
A szemerédi type theorem for sets of positive density inR k
|
1986
|
Jean Bourgain
|
|
+
|
On theL p-bounds for maximal functions associated to convex bodies inR n
|
1986
|
Jean Bourgain
|
|
+
|
On hilbertian subsets of finite metric spaces
|
1986
|
Jean Bourgain
T. Figiel
Vitali Milman
|
|
+
|
On the similarity problem for polynomially bounded operators on hilbert space
|
1986
|
Jean Bourgain
|
|
+
|
The metrical interpretation of superreflexivity in banach spaces
|
1986
|
Jean Bourgain
|
|
+
PDF
|
Sur le minimum d'une somme de cosinus
|
1986
|
Jean Bourgain
|
|
+
PDF
|
A problem of Douglas and Rudin on factorization
|
1986
|
Jean Bourgain
|
|
+
PDF
|
Real isomorphic complex Banach spaces need not be complex isomorphic
|
1986
|
Jean Bourgain
|
|
+
|
Distances between normed spaces, their subspaces and quotient spaces
|
1986
|
Jean Bourgain
Vitali Milman
|
|
+
PDF
|
Martingale transforms and complex uniform convexity
|
1986
|
Jean Bourgain
William J. Davis
|
|
+
PDF
|
On type of metric spaces
|
1986
|
Jean Bourgain
Vitali Milman
Haim J. Wolfson
|
|
+
PDF
|
On the dichotomy problem for tensor algebras
|
1986
|
Jean Bourgain
|
|
+
PDF
|
Translation invariant forms on $L^p(G)(1<p<\infty)$
|
1986
|
Jean Bourgain
|
|
+
|
On lipschitz embedding of finite metric spaces in Hilbert space
|
1985
|
Jean Bourgain
|
|
+
|
Some remarks on the Banach space structure of the ball-algebras
|
1985
|
Jean Bourgain
|
|
+
PDF
|
Sidon sets and Riesz products
|
1985
|
Jean Bourgain
|
|
+
|
Subspaces of L N ∞ , arithmetical diameter and sidon sets
|
1985
|
Jean Bourgain
|
|
+
|
Banach spaces with a unique unconditional basis, up to permutation
|
1985
|
Jean Bourgain
Peter G. Casazza
Joram Lindenstrauss
Lior Tzafriri
|
|
+
PDF
|
Applications of the spaces of homogeneous polynomials to some problems on the ball algebra
|
1985
|
Jean Bourgain
|
|
+
|
On the Approximation Properties for the SpaceH∞
|
1985
|
Jean Bourgain
O. I. Reinov
|
|
+
PDF
|
On finitely generated closed ideals in $H^\infty (D)$
|
1985
|
Jean Bourgain
|
|
+
|
The dimension conjecture for polydisc algebras
|
1984
|
Jean Bourgain
|
|
+
PDF
|
Extension of a result of Benedek, Calderón and Panzone
|
1984
|
Jean Bourgain
|
|
+
|
Bilinear Forms on H ∞ and Bounded Bianalytic Functions
|
1984
|
Jean Bourgain
|
|
+
|
l 1 Sequences Generated by Sidon Sets
|
1984
|
Jean Bourgain
|
|
+
|
Analysis in functional spaces
|
1984
|
Jean Bourgain
A. Pełczyński
I. A. Komarchev
B. Makarov
P. Wojtaszczyk
Peter G. Casazza
Э. М. Семенов
P. Wojtaszczyk
Peter W. Jones
Э. М. Семенов
|
|
+
PDF
|
New Banach space properties of the disc algebra and H∞
|
1984
|
Jean Bourgain
|
|
+
|
On Martingales Transforms in Finite Dimensional Lattices with an Appendix on theK-Convexity Constant
|
1984
|
Jean Bourgain
|
|
+
PDF
|
Bilinear forms on 𝐻^{∞} and bounded bianalytic functions
|
1984
|
Jean Bourgain
|
|
+
PDF
|
On bases in the disc algebra
|
1984
|
Jean Bourgain
|
|
+
|
Limited Operators and Strict Cosingularity
|
1984
|
Jean Bourgain
Joe Diestel
|
|
+
PDF
|
The Dunford-Pettis property for the ball-algebras, the polydisc-algebras and the Sobolev spaces
|
1984
|
Jean Bourgain
|
|
+
PDF
|
A result on the isomorphic embeddability of l¹(Γ)
|
1984
|
Spiros A. Argyros
Jean Bourgain
T. Zachariades
|
|
+
|
On the primarity ofH ∞-spaces
|
1983
|
Jean Bourgain
|
|
+
PDF
|
Some remarks on Banach spaces in which martingale difference sequences are unconditional
|
1983
|
Jean Bourgain
|
|
+
|
A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces
|
1983
|
Jean Bourgain
Gilles Pisier
|
|
+
|
Embedding L 1 in L 1 /H 1
|
1983
|
Jean Bourgain
|
|
+
|
Applications of the theory of semi-embeddings to Banach space theory
|
1983
|
Jean Bourgain
Haskell P. Rosenthal
|
|
+
PDF
|
Embedding 𝐿¹ in 𝐿¹/𝐻¹
|
1983
|
Jean Bourgain
|
|
+
PDF
|
Propriétés de décomposition pour les ensembles de Sidon
|
1983
|
Jean Bourgain
|
|
+
PDF
|
New banach space properties of the disc algebra and H∞
|
1983
|
Jean Bourgain
|
|
+
PDF
|
$H^{∞}$ is a Grothendieck space
|
1983
|
Jean Bourgain
|
|
+
PDF
|
A Hausdorff-Young inequality for<i>B</i>-convex Banach spaces
|
1982
|
Jean Bourgain
|
|
+
|
The non-isomorphism of H1-spaces in one and several variables
|
1982
|
Jean Bourgain
|
|
+
PDF
|
Translation invariant complemented subspaces of $L^{p}$
|
1982
|
Jean Bourgain
|
|
+
PDF
|
A remark on finite-dimensional $P_{λ}$-spaces
|
1982
|
Jean Bourgain
|
|
+
|
An Ordinal L p -Index for Banach Spaces, with Application to Complemented Subspaces of L p
|
1981
|
Jean Bourgain
Haskell P. Rosenthal
Gideon Schechtman
|
|
+
|
On Trigonometric Series in Super Reflexive Spaces
|
1981
|
Jean Bourgain
|
|
+
|
A new class ofℒ 1-spaces
|
1981
|
Jean Bourgain
|
|
+
|
New classes of L[p]-spaces
|
1981
|
Jean Bourgain
|
|
+
PDF
|
Dans un espace de Banach reticulé solide, la propriété de Radon-Nikodým et celle de Kreĭn-Mil′man sont équivalentes
|
1981
|
Jean Bourgain
Michel Talagrand
|
|
+
PDF
|
On the Dunford-Pettis property
|
1981
|
Jean Bourgain
|
|
+
|
New Classes of ℒ p $${\mathcal{L}^p}$$ -Spaces
|
1981
|
Jean Bourgain
|
|
+
|
Nouvelles propriétés des espaces $L^1 / H^1_0$ et $H^\infty $
|
1981
|
Jean Bourgain
|
|
+
|
A counterexample to a complementation problem
|
1981
|
Jean Bourgain
|
|
+
|
New Classes of Lp Spaces
|
1981
|
Jean Bourgain
|
|
+
|
New Classes of ℒp-Spaces
|
1981
|
Jean Bourgain
|
|
+
|
Dans Un Espace de Banach Reticule Solide, La Propriete de Radon-Nikodym et Celle de Krein-Milman Sont Equivalentes
|
1981
|
Jean Bourgain
Michel Talagrand
|
|
+
|
Non-completeness of some convergence on $l^1$
|
1981
|
Jean Bourgain
|
|
+
|
A characterization of non-dunford-pettis operators onL 1
|
1980
|
Jean Bourgain
|
|
+
|
Martingales valued in certain subspaces ofL 1
|
1980
|
Jean Bourgain
Haskell P. Rosenthal
|
|
+
|
Dunford-pettis operators onL 1 and the Radon-Nikodym property
|
1980
|
Jean Bourgain
|
|
+
|
l ∞ /c 0 has no Equivalent Strictly Convex Norm
|
1980
|
Jean Bourgain
|
|
+
PDF
|
𝑙^{∞}/𝑐₀ has no equivalent strictly convex norm
|
1980
|
Jean Bourgain
|
|
+
|
Walsh subspaces of $L^p$-product spaces
|
1980
|
Jean Bourgain
|
|
+
PDF
|
On separable Banach spaces, universal for all separable reflexive spaces
|
1980
|
Jean Bourgain
|
|
+
PDF
|
A class of specialLα spaces
|
1980
|
Jean Bourgain
Freddy Delbaen
|
|
+
|
Complémentation de sous-espaces $L^1$ dans les espaces $L^1$
|
1980
|
Jean Bourgain
|
|
+
PDF
|
Compacité extrémale
|
1980
|
Jean Bourgain
Michel Talagrand
|
|
+
PDF
|
Sets with the Radon-Nikodým property in conjugate Banach space
|
1980
|
Jean Bourgain
|
|
+
PDF
|
Borel sets with $F_σδ$-section
|
1980
|
Jean Bourgain
|
|
+
PDF
|
$F_σδ$-section of Borel sets
|
1980
|
Jean Bourgain
|
|
+
|
An averaging result forl 1-sequences and applications to weakly conditionally compact sets inL x 1
|
1979
|
Jean Bourgain
|
|
+
PDF
|
Decomposition in the product of a measure space and a Polish space
|
1979
|
Jean Bourgain
|
|
+
|
Un espace $\mathfrak {L}^\infty $ jouissant de la propriété de Schur et de la propriété de Radon-Nikodym
|
1979
|
Jean Bourgain
|
|
+
|
Un espace non Radon-Nikodým sans arbre diadique
|
1979
|
Jean Bourgain
|
|
+
|
Pointwise Compact Sets of Baire-Measurable Functions
|
1978
|
Jean Bourgain
D. H. Fremlin
Michel Talagrand
|
|
+
|
A geometric characterization of the Radon-Nikodym property in Banach spaces
|
1978
|
Jean Bourgain
|
|
+
|
On dentability and the Bishop-Phelps property
|
1977
|
Jean Bourgain
|
|
+
PDF
|
Strongly exposed points in weakly compact convex sets in Banach spaces
|
1976
|
Jean Bourgain
|