Openness of Regular Regimes of Complex Random Matrix Models

Marco Bertola, Pavel Bleher, Roozbeh Gharakhloo +2

Consider the general complex polynomial external field $$V(z)=\frac{z^k}{k}+\sum _{j=1}^{k-1}\frac{t_j{z}^j}{j},t_j\in \mathbb{C},k\in \mathbb{N}.$$ Fix an equi…