Normal matrix models, characterised by the requirement that the matrices commute with their adjoint so that their eigenvectors form a unitary matrix, permit an explicit Coulomb gas Boltzmann factor type eigenvalue PDF with \(\beta =2\) , so determinantal structures hold. They permit a simplified global scaling in which the one-body potential is taken as being strictly proportional to N. The support of the corresponding large N equilibrium measure is referred to as a droplet. Perturbing the GinUE one-body potential by the real part of a polynomial leads to a relation between the moments of the droplet and the coefficients of the polynomial. Generally, the main question of interest is the dependence on the potential in characterising quantities.