Low Temperature Localization of the 2D Coulomb Gas

Sammanfattning: We fix a minor glitch in a proof recently stated by Ameur. The result shows that the Coulomb gas is well localized to the vicinity of the “droplet”, created by the external field, which is described in terms of classical potential theory (“Frostman’s theorem”). For this reason, the result was termed “Localization theorem” in [1].