Monday, March 26, 2012

1106.2971 (Haakan Hedenmalm et al.)

Coulomb gas ensemles and Laplacian growth    [PDF]

Haakan Hedenmalm, Nikolai Makarov
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.
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