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19972023
most citedRandom matrices: Universality of local eigenvalue statistics up to the edge

276 citations · 4.5k across the 293 of their papers we have counts for

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Showing 2007Show all

14 papers · 1 filter

math.CA2007★ 2 cited

Multi-linear multipliers associated to simplexes of arbitrary length

Camil Muscalu, Terence Tao, Christoph Thiele

In this article we prove that the -linear operator whose symbol is the characteristic function of the simplex is bounded from …

math.CA2007★ 1 cited

The Walsh model for Carleson

Ciprian Demeter, Michael Lacey, Terence Tao +1

We study the Walsh model of a certain maximal truncation of Carleson's operator, related to the Return Times Theorem from Ergodic Theory.

math.AP2007★ 3 cited

A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation

Terence Tao

The global regularity problem for the periodic Navier-Stokes system asks whether to every smooth divergence-free initial datum there exists a global smoot…

math.NT2007★ 32 cited

The quantitative behaviour of polynomial orbits on nilmanifolds

Ben Green, Terence Tao

A theorem of Leibman asserts that a polynomial orbit on a nilmanifold is always equidistributed in a union of closed sub-nilmanifolds of . In t…

math.PR2007★ 13 cited

Random Matrices: The circular Law

Terence Tao, Van Vu

Let $\a$ be a complex random variable with mean zero and bounded variance . Let be a random matrix of order with entries being i.i.d. copies of $\a$. Let $λ_{1},…

math.AP2007★ 51 cited

The cubic nonlinear Schrödinger equation in two dimensions with radial data

Rowan Killip, Terence Tao, Monica Visan

We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Schrödinger equation for large spherically symmetric L^2_x(…