Coulomb gas ensembles and Laplacian growth
  We consider the normal matrix ensemble under a general confining potential. We find that the eigenvalues condensate on a compact set in the plane, which we call the spectral droplet. We also study the evolution of incrementally adding a dimension, i.e., adding an extra electron in this fermionic model. 
Haakan Hedenmalm and Nikolai Makarov
math.PR math-ph math.CV math.MP