Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials
Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials
.We consider determinantal Coulomb gas ensembles with a class of discrete rotational symmetric potentials whose droplets consist of several disconnected components. Under the insertion of a point charge at the origin, we derive the asymptotic behavior of the correlation kernels both at the macro- and microscopic scales. At the macroscopic …