2 problems

Let $A$ and $B$ be independently sampled from the real Gaussian ensemble $GE_n^\mathbb R$ of real $n\times n$ matrices. The level crossings are the points of $\mathbb{CP}^1$ associ…

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…