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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 2005 · math.APShow all

3 papers · 2 filters

math.AP2005★ 54 cited

The nonlinear Schrödinger equation with combined power-type nonlinearities

Terence Tao, Monica Visan, Xiaoyi Zhang

We undertake a comprehensive study of the nonlinear Schrödinger equation where is a complex-valued function in spacetime…

math.AP2005

The Averaging lemma and regularizing effect

Eitan Tadmor, Terence Tao

We prove new velocity averaging results for second-order multidimensional equations of the general form, $\op(\nabla_x,v)f(x,v)=g(x,v)$ where $\op(\nabla_x,v):=\bba(v)\cdot\nabla_x…

math.AP2005★ 9 cited

Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation

Ioan Bejenaru, Terence Tao

We establish that the quadratic non-linear Schrödinger equation where $u: \R \times \R \to \C$, is locally well-posed in when and ill…