4 problems

Let $Z_N(\mu)$ be the characteristic polynomial of an $N\times N$ random matrix from the Gaussian Orthogonal Ensemble, and let $\epsilon$ denote $\operatorname{Im}\mu$ scaled by th…

GOE asymptotic discrepancy conjecture. With high probability, the asymptotic discrepancy satisfies

Let $\alpha$ be the anisotropy parameter, let $X$ be as in the definition of the anisotropic Wishart model, and let $W^*(n,\alpha)$ denote the law of … Let $M^*(n)$ be the law of a…

Let $GOE_N$ denote the ensemble of real symmetric $N\times N$ matrices. For a level-crossing point with complex coupling parameter $\lambda$, write its probability density as…