2 problems

For a matrix tuple $\mathcal X$, consider the determinant of its associated linear pencil evaluated at a tuple $\mathcal U$ of independent Haar unitary matrices. Uniform matrix-coe…

For a $g$-tuple of matrices $\mathcal X=(X_1,\dots,X_g)$, define its outer spectral radius by … where $\operatorname{rad}(X)$ is the ordinary spectral radius. Let…