Bulk universality for Wigner hermitian matrices with subexponential decay

Laszlo Erdos, Jose Ramirez, Benjamin Schlein +3

We consider the ensemble of $n\times n$ Wigner hermitian matrices $H=(h_{\ell k}{)}_{1\le \ell ,k\le n}$ that generalize the Gaussian unitary ensemble (GUE). The matrix element…