Equilibrium measures and partial balayage

Abstract

We consider the equilibrium problem for an external background potential in weighted potential theory, and show that for a large class of background potentials there is a complementarity relationship between the measure solving the weighted equilibrium problem - the weighted equilibrium measure - and a certain partial balayage measure.

19 pages, 2 figures

References in corpus (2)

• Normal random matrix ensemble as a growth problem
• Coulomb gas ensembles and Laplacian growth