18 citations · 25 across the 8 of their papers we have counts for
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math.SP2009★ 2 cited
Restriction of toral eigenfunctions to hypersurfaces
Jean Bourgain, Zeev Rudnick
We establish uniform upper and lower bounds on the restrictions of the eigenfunctions of the Laplacian on the 2- and 3-dimensional standard flat torus to smooth hyper-surfaces with…
math.CO2009★ 3 cited
On the singularity probability of discrete random matrices
Jean Bourgain, Van Vu, Philip Matchett Wood
Let be an by random matrix where each entry is +1 or -1 independently with probability 1/2. Our main result implies that the probability that is singular is at…