On fluctuations of Coulomb systems and universality of the Heine distribution
We consider a class of external potentials on the complex plane C for which the coincidence set to the obstacle problem contains a Jordan curve in the exterior of the droplet. We refer to this curve as a spectral outpost. We study the corresponding Coulomb gas at β=2[jls-end-space/].Generalizing recent work in the radially symmetric case, we prove that the number of particles which fall near the s
