Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps
We study large n expansions for the partition function of a Coulomb gas (Formula presented.) where Q is a radially symmetric confining potential on the complex plane C. The droplet is not assumed to be connected, but may consist of a number of disjoint annuli and possibly a central disk. The boundary condition is “soft edge”, i.e., Q is smooth in a C-neighbourhood of the droplet. We include the fo
