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Jean Bourgain

Identifiers

  • name variant Jean Bourgain 0.60 · backfill

Papers (111)

  1. On the number of $k$th powers inside arithmetic progressions math.NT · 2018 · author #1
  2. Anderson localization for two interacting quasiperiodic particles math.SP · 2018 · author #1
  3. Dimension-free estimates for discrete Hardy-Littlewood averaging operators over the cubes in $\mathbb Z^d$ math.CA · 2018 · author #1
  4. On dimension-free variational inequalities for averaging operators in $\mathbb R^d$ math.FA · 2017 · author #1
  5. On a homogenization problem math.AP · 2017 · author #1
  6. Fourier dimension and spectral gaps for hyperbolic surfaces math.CA · 2017 · author #1
  7. Spectral gaps without the pressure condition math.CA · 2016 · author #1
  8. A note on the Schrodinger maximal function math.NT · 2016 · author #1
  9. Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions math.NT · 2016 · author #1
  10. Nonlinear Roth type theorems in finite fields math.NT · 2016 · author #1
  11. Markoff Surfaces and Strong Approximation: 1 math.NT · 2016 · author #1
  12. On pair correlation for generic diagonal forms math.NT · 2016 · author #1
  13. Spatial statistics for lattice points on the sphere I: Individual results math.NT · 2016 · author #1
  14. A study guide for the $l^2$ Decoupling Theorem math.CA · 2016 · author #1
  15. Small gaps in the spectrum of the rectangular billiard math.AP · 2016 · author #2
  16. A quantitative Oppenheim Theorem for generic diagonal quadratic forms math.NT · 2016 · author #1
  17. On the Vinogradov mean value math.NT · 2016 · author #1
  18. Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three math.NT · 2015 · author #1
  19. On a paper of Erd\"os and Szekeres math.NT · 2015 · author #2
  20. Mean value estimates for Weyl sums in two dimensions math.CA · 2015 · author #1
  21. Optimal mean value estimates for the quadratic Weyl sums in two dimensions math.CA · 2015 · author #1
  22. Thermodynamic expansion to arbitrary moduli math.NT · 2015 · author #1
  23. On uniformly bounded basis in spaces of holomorphic functions math.FA · 2015 · author #1
  24. Markoff Triples and Strong Approximation math.NT · 2015 · author #1
  25. Decoupling for perturbed cones and mean square of $|\zeta(\frac 12+it)|$ math.NT · 2015 · author #1
  26. Sidonicity and variants of Kaczmarz's problem math.CA · 2015 · author #1
  27. Decouplings for surfaces in R^4 math.CA · 2015 · author #1
  28. On Random Walks in large compact Lie groups math.PR · 2015 · author #1
  29. Influential coalitions for Boolean Functions math.CO · 2014 · author #1
  30. Decouplings for curves and hypersurfaces with nonzero Gaussian curvature math.CA · 2014 · author #1
  31. Decoupling, exponential sums and the Riemann zeta function math.NT · 2014 · author #1
  32. BMO-type norms related to the perimeter of sets math.FA · 2014 · author #2
  33. $l^p$ decouplings for hypersurfaces with nonzero Gaussian curvature math.CA · 2014 · author #1
  34. Decoupling inequalities and some mean-value theorems math.NT · 2014 · author #1
  35. Beyond Expansion II: Low-Lying Fundamental Geodesics math.NT · 2014 · author #1
  36. A Finitary Hasse Principle for Diagonal Curves math.NT · 2014 · author #1
  37. The proof of the $l^2$ Decoupling Conjecture math.CA · 2014 · author #1
  38. Affine extractors over large fields with exponential error cs.CC · 2014 · author #1
  39. A Note on Lyapunov Exponents of Deterministic Strongly Mixing Potentials math-ph · 2013 · author #1
  40. A remark on solutions of the Pell equation math.NT · 2013 · author #1
  41. On quadratic irrationals with bounded partial quotients math.NT · 2013 · author #1
  42. Toward a unified theory of sparse dimensionality reduction in Euclidean space cs.DS · 2013 · author #1
  43. Beyond Expansion IV: Traces of Thin Semigroups math.NT · 2013 · author #1
  44. New bounds for the discrete Fourier restriction to the sphere in four and five dimensions math.CA · 2013 · author #1
  45. Almost sure global well posedness for the radial nonlinear Schrodinger equation on the unit ball I: the 2D case math.AP · 2013 · author #1
  46. The essential centre of the mod a diagonalization ideal commutant of an n-tuple of commuting hermitian operators math.OA · 2013 · author #1
  47. On Eigenvalue spacings for the 1-D Anderson model with singular site distribution math.AP · 2013 · author #1
  48. Character Sums and Deterministic Polynomial Root Finding in Finite Fields math.NT · 2013 · author #1
  49. On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians math.AP · 2013 · author #1
  50. On Pleijel's nodal domain theorem math.SP · 2013 · author #1
  51. Nodal intersections and Lp restriction theorems on the torus math.AP · 2013 · author #1
  52. Strong Ill-posedness of the incompressible Euler equation in borderline Sobolev spaces math.AP · 2013 · author #1
  53. An application of group expansion to the Anderson-Bernoulli model math.AP · 2013 · author #1
  54. The Affine Sieve Beyond Expansion I: Thin Hypotenuses math.NT · 2013 · author #1
  55. Prescribin the binary digits of the primes, II math.NT · 2013 · author #1
  56. A lower bound for the Lyapounov exponents of the random Schrodinger operator on a strip math-ph · 2013 · author #1
  57. Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3D ball math.AP · 2013 · author #1
  58. On toral eigenfunctions and the random wave model math.NT · 2013 · author #1
  59. Almost sure global well posedness for the radial nonlinear Schr\"odinger equation on the unit ball II: the 3D case math.AP · 2013 · author #1
  60. Control for Schr\"odinger equations on 2-tori: rough potentials math.AP · 2013 · author #1
  61. On the Hardy-Littlewood maximal function for the cube math.FA · 2012 · author #1
  62. Monotone Boolean functions capture their primes math.NT · 2012 · author #1
  63. A prime number theorem for the majority function math.NT · 2012 · author #1
  64. Multiplicative Congruences with Variables from Short Intervals math.NT · 2012 · author #1
  65. A modular Szemeredi-Trotter theorem for hyperbolas math.CO · 2012 · author #1
  66. Partial quotients and representation of rational numbers math.NT · 2012 · author #1
  67. On the Local-Global Conjecture for integral Apollonian gaskets math.NT · 2012 · author #1
  68. Improved estimates for the discrete Fourier restriction to the higher dimensional sphere math.CA · 2012 · author #1
  69. Gibbs measure evolution in radial nonlinear wave and Schr\"odinger equations on the ball math.AP · 2012 · author #1
  70. On $L^p$-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds math.AP · 2012 · author #1
  71. Local statistics of lattice points on the sphere math.NT · 2012 · author #1
  72. On Congruences with Products of Variables from Short Intervals and Applications math.NT · 2012 · author #1
  73. On the Lyapounov exponents of Schrodinger operators associated with the standard map math.AP · 2012 · author #1
  74. On the Schrodinger maximal function in higher dimension math.AP · 2012 · author #1
  75. On the Morse-Sard property and level sets of $W^{n,1}$ Sobolev functions on ${\mathbb R}^n$ math.AP · 2012 · author #1
  76. Bounds on the density of states for Schr\" odinger operators math-ph · 2011 · author #1
  77. On the Fourier-Walsh Spectrum on the Moebius Function math.NT · 2011 · author #1
  78. On the correlation of the Moebius function with random rank-one systems math.NT · 2011 · author #1
  79. Distjointness of Mobius from horocycle flows math.NT · 2011 · author #1
  80. On the Hidden Shifted Power Problem cs.CC · 2011 · author #1
  81. Moebius-Walsh correlation bounds and an estimate of Mauduit and Rivat math.NT · 2011 · author #1
  82. A Spectral Gap Theorem in $SU(d)$ math.GR · 2011 · author #1
  83. Monotone expansion math.CO · 2011 · author #1
  84. On Zaremba's Conjecture math.NT · 2011 · author #1
  85. Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces math.CA · 2011 · author #1
  86. Integral Apollonian circle packings and prime curvatures math.NT · 2011 · author #1
  87. Prescribing the binary digits of primes math.NT · 2011 · author #1
  88. Restriction of toral eigenfunctions to hypersurfaces and nodal sets math.AP · 2011 · author #1
  89. Distribution on elements of cosets of small subgroups and applications math.NT · 2011 · author #1
  90. On Zaremba's Conjecture math.NT · 2011 · author #1
  91. Distribution of Elements of Cosets of Small Subgroups and Applications math.NT · 2011 · author #1
  92. On the Furstenberg measure and density of states for the Anderson-Bernoulli model at small disorder math.AP · 2011 · author #1
  93. Moebius Schrodinger math.AP · 2010 · author #1
  94. On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus math.AP · 2010 · author #1
  95. Bounds on oscillatory integral operators based on multilinear estimates math.CA · 2010 · author #1
  96. On a Theorem of Friedlander and Iwaniec math.NT · 2010 · author #1
  97. On the Morse-Sard Property and Level Sets of Sobolev and BV Functions math.AP · 2010 · author #1
  98. Expansion in SL_d(Z/qZ), q arbitrary math.GR · 2010 · author #1
  99. On the nodal sets of toral eigenfunctions math-ph · 2010 · author #1
  100. Sector estimates for hyperbolic isometries math.NT · 2010 · author #1
  101. On representations of integers in thin subgroups of SL(2,Z) math.NT · 2010 · author #1
  102. A proof of the positive density conjecture for integer Apollonian circle packings math.NT · 2010 · author #1
  103. Generalization of Selberg's 3/16 Theorem and Affine Sieve math.NT · 2009 · author #1
  104. Restriction of toral eigenfunctions to hypersurfaces math.SP · 2009 · author #1
  105. On the singularity probability of discrete random matrices math.CO · 2009 · author #1
  106. Ill-posedness of the Navier-Stokes equations in a critical space in 3D math.AP · 2008 · author #1
  107. One cannot hear the winding number math.CA · 2006 · author #1
  108. On the size of $k$-fold sum and product sets of integers math.CO · 2003 · author #1
  109. A sum-product estimate in finite fields, and applications math.CO · 2003 · author #1
  110. Anderson Localization for Time Quasi Periodic Random Sch\"odinger and Wave Operators math.SP · 2002 · author #1
  111. On nonperturbative localization with quasi-periodic potential math-ph · 2000 · author #1

Mentions

  • 0907.4824 #1 · backfill · confidence 0.70 Jean Bourgain
  • 0905.0461 #1 · backfill · confidence 0.70 Jean Bourgain
  • 0807.0882 #1 · backfill · confidence 0.70 Jean Bourgain

Frequent Coauthors