2 problems

Angelesco uniqueness conjecture. The measure $\mu=\lambda_1+\lambda_2$ is the only positive Borel measure in the plane satisfying these inequalities and $\mu(\mathbb C)=2$. This un…

Consider an Angelesco system with disjoint supports, and let $Q_{2n}$ be the Hermite–Padé denominator. Let $\vec\lambda=(\lambda_1,\lambda_2)$ be the equilibrium measure of the ext…