The planar low temperature Coulomb gas: separation and equidistribution
We consider planar Coulomb systems consisting of a large number nn of repelling point charges in the low temperature regime, where the inverse temperature β grows at least logarithmically in n as n→∞, i.e., β≳logn.Under suitable conditions on an external potential, we prove results to the effect that the gas is with high probability uniformly separated and equidistributed with respect to the corr
