4 problems

Fix $\alpha0$. Let $mu1leqcdotsleqmuN$ be the eigenvalues of a GOE matrix, and let $\lambda1leqcdotsleqlambdaN$ be the eigenvalues of a real generalized Wigner matrix $(HN)$ with…

Let $(H_N)$ be a generalized Wigner ensemble with uniform $p$-support, and let $mu1leqcdotsleqmuN$ be the eigenvalues of a GOE matrix while $\lambda1leqcdotsleqlambdaN$ are the ei…

Wigner–Dyson–Mehta bulk universality conjecture. For fixed $k$, $u$, and atom distributions, $\rho_{n,u}^{(k)}$ converges to $\rho_{\operatorname{Sine}}^{(k)}$ as…

Bulk eigenvalue asymptotic conjecture. One has