276 citations · 4.5k across the 293 of their papers we have counts for
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Outliers in the spectrum of iid matrices with bounded rank perturbations
Terence Tao
It is known that if one perturbs a large iid random matrix by a bounded rank error, then the majority of the eigenvalues will remain distributed according to the circular law. Howe…
Large values of the Gowers-Host-Kra seminorms
Tanja Eisner, Terence Tao
The \emph{Gowers uniformity norms} of a function $f: G \to \C$ on a finite additive group , together with the slight variant defined for func…
Asymptotic decay for a one-dimensional nonlinear wave equation
Hans Lindblad, Terence Tao
We consider the asymptotic behaviour of finite energy solutions to the one-dimensional defocusing nonlinear wave equation , where . Standard…
Strongly dense free subgroups of semisimple algebraic groups
Emmanuel Breuillard, Ben Green, Robert Guralnick +1
We show that (with one possible exception) there exist strongly dense free subgroups in any semisimple algebraic group over a large enough field. These are nonabelian free subgroup…
An inverse theorem for the Gowers U^{s+1}[N]-norm
Ben Green, Terence Tao, Tamar Ziegler
We prove the inverse conjecture for the Gowers U^{s+1}[N]-norm for all s >= 3; this is new for s > 3, and the cases s<3 have also been previously established. More precisely, we es…
An inverse theorem for the Gowers U^{s+1}[N]-norm (announcement)
Ben Green, Terence Tao, Tamar Ziegler
In this note we announce the proof of the inverse conjecture for the Gowers U^{s+1}[N]-norm for all s => 3; this is new for s => 4, the cases s = 1,2,3 having been previously estab…