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Beyond expansion, III: Reciprocal geodesics
Jean Bourgain, Alex Kontorovich
Duke Mathematical Journal, ISSN 0012-7094, Vol. 168, Nº. 18, 2019, págs. 3413-3435
The proof of the l2 [l al cuadrado] Decoupling Conjecture
Jean Bourgain, Ciprian Demeter
Annals of mathematics, ISSN 0003-486X, Vol. 182, Nº 1, 2015, págs. 351-389
Joran Lindenstrauss, in Memoriam
William B. Johnson, Gideon Schechtman, Yoav Benyamini, Elon Lindenstrauss, Vitali D. Milman, Jean Bourgain, Assaf Naor, David Preiss, Gilles Pisier, Andrzej Szankowski, Ayelet Lindenstrauss, Nassif Ghoussoub
Notices of the American Mathematical Society, ISSN 0002-9920, Vol. 62, Nº. 1, 2015, págs. 26-37
Jean Bourgain, Alex Kontorovich
Annals of mathematics, ISSN 0003-486X, Vol. 180, Nº 1, 2014, págs. 137-196
On the local-global conjecture for integral Apollonian gaskets
Jean Bourgain, Alex Kontorovich
Inventiones mathematicae, ISSN 0020-9910, Vol. 196, Nº. 3, 2014, págs. 589-650
Bounds on the density of states for Schrödinger operators
Jean Bourgain, Abel Klein
Inventiones mathematicae, ISSN 0020-9910, Vol. 194, Nº. 1, 2013, págs. 41-72
Control for Schrödinger operators on 2-tori: rough potentials
Jean Bourgain, Nicolas Burq, Maciej Zworski
Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 15, Nº 5, 2013, págs. 1597-1628
On the Morse-Sard property and level sets of Sobolev and BV functions.
Jean Bourgain, Mikhail V. Korobkov, Jan Kristensen
Revista matemática iberoamericana, ISSN 0213-2230, Vol. 29, Nº 1, 2013, págs. 1-23
Expansion in SLd(Z/qZ), q arbitrary
Jean Bourgain, Péter P. Varjú
Inventiones mathematicae, ISSN 0020-9910, Vol. 188, Nº. 1, 2012, págs. 151-173
A spectral gap theorem in SU(d)
Jean Bourgain, Alex Gamburd
Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 14, Nº 5, 2012, págs. 1455-1511
Generalization of Selberg's 3/16 theorem and affine sieve
Jean Bourgain, Alex Gamburd, Peter Sarnak
Acta mathematica, ISSN 0001-5962, Vol. 207, Nº 2, 2011, págs. 255-290
Explicit constructions of RIP matrices and related problems
Jean Bourgain, Stephen J. Dilworth, Kevin Ford, Sergei V. Konyagin, Denka Kutzarova
Duke Mathematical Journal, ISSN 0012-7094, Vol. 159, Nº. 1, 2011, págs. 145-185
On the nodal sets of toral eigenfunctions
Jean Bourgain, Zeév Rudnick
Inventiones mathematicae, ISSN 0020-9910, Vol. 185, Nº. 1, 2011, págs. 199-237
A proof of the positive density conjecture for integer Apollonian circle packings
Jean Bourgain, Elena Fuchs
Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 24, Nº 4, 2011, págs. 945-967
Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus
Jean Bourgain, Alex Furman, Elon Lindenstrauss, Shahar Mozes
Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 24, Nº 1, 2011, págs. 231-280
Affine linear sieve, expanders, and sum-product
Jean Bourgain, Alex Gamburd, Peter Sarnak
Inventiones mathematicae, ISSN 0020-9910, Vol. 179, Nº. 3, 2010, págs. 559-644
On the divisibility of Fermat Quotients
Jean Bourgain, Kevin Ford, Sergei V. Konyagin, Igor E. Shparlinski
Michigan mathematical journal, ISSN 0026-2285, Vol. 59, Nº 2, 2010, págs. 313-328
Some effective results for x a x b
Jean Bourgain, Elon Lindenstrauss, Philippe Michel, Akshay Venkatesh
Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 29, Nº 6, 2009, págs. 1705-1722
Expansion and random walks in SL_d(Z/p^n Z): II
Jean Bourgain, Alex Gamburd
Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 11, Nº 5, 2009, págs. 1057-1103
On Kahane's ultraflat polynomials
Enrico Bombieri, Jean Bourgain
Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 11, Nº 3, 2009, págs. 627-703
Uniform expansion bounds for Cayley graphs of SL2(Fp)
Jean Bourgain, Alex Gamburd
Annals of mathematics, ISSN 0003-486X, Vol. 167, Nº 2, 2008, págs. 625-642
Expansion and random walks in SLd(Z/pnZ): I
Jean Bourgain, Alex Gamburd
Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 4, 2008, págs. 987-1012
Quasi-periodic solutions of nonlinear random Schrödinger equations
Jean Bourgain, Wei Wang
Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 1, 2008, págs. 1-45
One cannot hear the winding number
Jean Bourgain, Gady Kozma
Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 9, Nº 4, 2007, págs. 637-658
New estimates for elliptic equations and Hodge type systems
Jean Bourgain, Haim Brezis
Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 9, Nº 2, 2007, págs. 277-315
Estimates for the number of sums and products and for exponential sums in fields of prime order
Jean Bourgain, A. A. Glibichuk, Sergei V. Konyagin
Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 73, Nº 2, 2006, págs. 380-398
On nonperturbative localization with quasi-periodic potential
Michael Goldstein, Jean Bourgain
Annals of mathematics, ISSN 0003-486X, Vol. 152, Nº 3, 2000, págs. 835-879
Random Points in Isotropic Convex Sets
Jean Bourgain
Convex Geometric Analysis / coord. por Keith M. Ball, Vitali D. Milman, 1998, ISBN 0-521-64259-0, págs. 53-58
Threshold Intervals under Group Symmetries
Jean Bourgain, Gil Kalai
Convex Geometric Analysis / coord. por Keith M. Ball, Vitali D. Milman, 1998, ISBN 0-521-64259-0, págs. 59-63
On a Generalization of the Busemann--Petty Problem
Jean Bourgain, Gaoyong Zhang
Convex Geometric Analysis / coord. por Keith M. Ball, Vitali D. Milman, 1998, ISBN 0-521-64259-0, págs. 65-76
Mathematical aspects of nonlinear dispersive equations
Jean Bourgain, Sergiu, Klainerman, Carlos E. Kenig
Princeton (New Jersey) : Princeton University Press, [2007. ISBN 0-691-12860-X
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