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26 April 2024

» arxiv » 1106.2971

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Coulomb gas ensemles and Laplacian growth
Haakan Hedenmalm ; Nikolai Makarov ;
Date:	15 Jun 2011
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.
Source:	arXiv, 1106.2971
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