Restriction of toral eigenfunctions to hypersurfaces

Jean Bourgain; Zeév Rudnick

Comptes Rendus. Mathématique, Volume 347 (2009) no. 21 p. 1249-1253

Expanders and dimensional expansion

Jean Bourgain

Comptes Rendus. Mathématique, Volume 347 (2009) no. 7 p. 357-362

Random walks and expansion in SLd(Z/pnZ)

Jean Bourgain; Alex Gamburd

Comptes Rendus. Mathématique, Volume 346 (2008) no. 11 p. 619-623

Invariant measures and stiffness for non-Abelian groups of toral automorphisms

Jean Bourgain; Alex Furman; Elon Lindenstrauss; Shahar Mozes

Comptes Rendus. Mathématique, Volume 344 (2007) no. 12 p. 737-742

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

Jean Bourgain

Comptes Rendus. Mathématique, Volume 344 (2007) no. 6 p. 349-352

New results on expanders

Jean Bourgain; Alex Gamburd

Comptes Rendus. Mathématique, Volume 342 (2006) no. 10 p. 717-721

A Gauss sum estimate in arbitrary finite fields

Jean Bourgain; Mei-Chu Chang

Comptes Rendus. Mathématique, Volume 342 (2006) no. 9 p. 643-646

A new characterization of Sobolev spaces

Jean Bourgain; Hoai-Minh Nguyen

Comptes Rendus. Mathématique, Volume 343 (2006) no. 2 p. 75-80

Sieving and expanders

Jean Bourgain; Alex Gamburd; Peter Sarnak

Comptes Rendus. Mathématique, Volume 343 (2006) no. 3 p. 155-159

A new estimate for the topological degree

Jean Bourgain; Haïm Brezis; Hoai-Minh Nguyen

Comptes Rendus. Mathématique, Volume 340 (2005) no. 11 p. 787-791

Estimation of certain exponential sums arising in complexity theory

Jean Bourgain

Comptes Rendus. Mathématique, Volume 340 (2005) no. 9 p. 627-631

New bounds on exponential sums related to the Diffie–Hellman distributions

Jean Bourgain

Comptes Rendus. Mathématique, Volume 338 (2004) no. 11 p. 825-830

New estimates for the Laplacian, the div–curl, and related Hodge systems

Jean Bourgain; Haïm Brezis

Comptes Rendus. Mathématique, Volume 338 (2004) no. 7 p. 539-543

Mordell type exponential sum estimates in fields of prime order

Jean Bourgain

Comptes Rendus. Mathématique, Volume 339 (2004) no. 5 p. 321-325

Sum-product theorem and exponential sum estimates in residue classes with modulus involving few prime factors

Jean Bourgain; Mei-Chu Chang

Comptes Rendus. Mathématique, Volume 339 (2004) no. 7 p. 463-466

On multiple sum and product sets of finite sets of integers

Jean Bourgain; Mei-Chu Chang

Comptes Rendus. Mathématique, Volume 337 (2003) no. 8 p. 499-503

A reduction of the slicing problem to finite volume ratio bodies

Jean Bourgain; Bo'az Klartag; Vitali Milman

Comptes Rendus. Mathématique, Volume 336 (2003) no. 4 p. 331-334

Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order

Jean Bourgain; S.V. Konyagin

Comptes Rendus. Mathématique, Volume 337 (2003) no. 2 p. 75-80

Sur l'équation divu=f

Jean Bourgain; Haı̈m Brezis

Comptes Rendus. Mathématique, Volume 334 (2002) no. 11 p. 973-976

Exposants de Lyapounov pour opérateurs de Schrödinger discrètes quasi-périodiques

Jean Bourgain

Comptes Rendus. Mathématique, Volume 335 (2002) no. 6 p. 529-531