Partition functions of two-dimensional Coulomb gases with circular root- and jump-type singularities

Kohei Noda

In this paper, we study the random polynomial $p_n(\rho ):={\prod }_{j=1}^n(|z_j|-\rho )$, where the points $\{z_j{\}}_{j=1}^n$ are the eigenvalue moduli of random normal matrices with a radia…