Energy Minimization Principle for non-archimedean curves

Abstract

Baker and Rumely defined a notion of Arakelov–Green’s functions on the Berkovich analytification of the projective line and established an Energy Minimization Principle. We extend their definition and show their Energy Minimization Principle for general smooth projective curves. As an application we get a generalization and a different proof of an equidistribution result by Baker and Petsche.