276 citations · 4.5k across the 293 of their papers we have counts for
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Random matrices: Universality of local spectral statistics of non-Hermitian matrices
Terence Tao, Van Vu
It is a result of Ginibre that the normalized bulk -point correlation functions of a complex Gaussian matrix with independent entries of mean zero and unit variance…
The asymptotic distribution of a single eigenvalue gap of a Wigner matrix
Terence Tao
We show that the distribution of (a suitable rescaling of) a single eigenvalue gap of a random Wigner matrix ensemble in the bulk is asymptotically given by…
Random matrices: The Universality phenomenon for Wigner ensembles
Terence Tao, Van Vu
In this paper, we survey some recent progress on rigorously establishing the universality of various spectral statistics of Wigner Hermitian random matrix ensembles, focusing on th…
Random matrices: Sharp concentration of eigenvalues
Terence Tao, Van Vu
Let be a Wigner matrix whose entries have vanishing third moment, normalized so that the spectrum is concentrated in the interval . We prove a…