The Two-Dimensional Coulomb Gas : Fluctuations Through a Spectral Gap
We study a class of radially symmetric Coulomb gas ensembles at inverse temperature β=2, for which the droplet consists of a number of concentric annuli, having at least one bounded “gap” G, i.e., a connected component of the complement of the droplet, which disconnects the droplet. Let n be the total number of particles. Among other things, we deduce fine asymptotics as n→∞ for the edge density a
