Asymptotic Positivity of Hurwitz Product Traces: Two Proofs

Christian Fleischhack, Shmuel Friedland

Consider the polynomial $tr(A+tB{)}^m$ in $t$ for positive hermitian matrices $A$ and $B$ with $m\in \mathbb{N}$. The Bessis-Moussa-Villani conjecture (in the equivalent form of Lieb and…