2 problems

Let $F_{\beta}(s,m)$ denote the distribution of the $m^{th}$ largest eigenvalue in the appropriate scaling limit for the Gaussian orthogonal ensemble ($\beta=1$) and Gaussian sympl…

Let $\widehat{K}_N^{(\beta)}(x_q,x_p)$ and $K_N^{(\beta)}(x_q,x_p)$ denote the generalized and standard kernels associated with the classical random-matrix ensembles, respectively,…