3 papers
math.DG2016
Partial Balayage on Riemannian Manifolds
Björn Gustafsson, Joakim Roos
A general theory of partial balayage on Riemannian manifolds is developed, with emphasis on compact manifolds. Partial balayage is an operation of sweeping measures, or charge dist…
math.AP2016
Partial Balayage and a Generalization of the Divisible Sandpile Model
Joakim Roos
In recent work by L. Levine and Y. Peres, it was observed that three models for particle aggregation on the lattice - the divisible sandpile, rotor-router aggregation, and internal…
math.CV2013
Equilibrium measures and partial balayage
Joakim Roos
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 complemen…