2019/09/25 by Veronika Wanner, Wanner, Veronika
Mathematics · Computer Science · #Mathematical Approximation and Integration #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.1909.11335
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 the 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.