Sums of GUE matrices and concentration of hives from correlation decay of eigengaps

Hariharan Narayanan, Scott Sheffield, Terence Tao

Associated to two given sequences of eigenvalues ${\lambda }_1\ge \cdots \ge {\lambda }_n$ and ${\mu }_1\ge \cdots \ge {\mu }_n$ is a natural polytope, the polytope of augmented hives with the specified b…