Coulomb gas ensembles and Laplacian growth
Probability
2013-11-11 v3 Mathematical Physics
Complex Variables
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1106.2971,
title = {Coulomb gas ensembles and Laplacian growth},
author = {Haakan Hedenmalm and Nikolai Makarov},
journal= {arXiv preprint arXiv:1106.2971},
year = {2013}
}
Comments
43 pages