276 citations · 4.5k across the 293 of their papers we have counts for
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Random matrices: Universality of local eigenvalue statistics up to the edge
Terence Tao, Van Vu
This is a continuation of our earlier paper on the universality of the eigenvalues of Wigner random matrices. The main new results of this paper are an extension of the results in…
Bulk universality for Wigner hermitian matrices with subexponential decay
Laszlo Erdos, Jose Ramirez, Benjamin Schlein +3
We consider the ensemble of Wigner hermitian matrices that generalize the Gaussian unitary ensemble (GUE). The matrix element…
Random matrices: Universality of local eigenvalue statistics
Terence Tao, Van Vu
In this paper, we consider the universality of the local eigenvalue statistics of random matrices. Our main result shows that these statistics are determined by the first four mome…
Random matrices: The distribution of the smallest singular values
Terence Tao, Van Vu
Let $\a$ be a real-valued random variable of mean zero and variance 1. Let $M_n(\a)$ denote the random matrix whose entries are iid copies of $\a$ and $σ_n(M_n(\a))$ d…