2 problems

Tao–Vu eigenvalue rigidity conjecture. The factor $N^{-1/6-\varepsilon_0}$ on the right-hand side should be replaced by $N^{-2/3+\varepsilon}$.

Let $\lambda_j$ be the eigenvalues of a standard Wigner matrix, and let $\gamma_j$ denote their classical locations. Under the assumptions of the cited estimate, the root-mean-squa…