Coulomb gas ensemles and Laplacian growth

Details Coulomb gas ensemles and Laplacian growth Coulomb gas ensemles and Laplacian growth

2011-06-15

arxiv.org/abs/1106.2971v2

Mathematics

Probability

42 pages

Scientific paper

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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