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Coulomb gas ensemles and Laplacian growth
Coulomb gas ensemles Laplacian growth
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2011/7/28
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...
Laplacian growth in the half plane
Laplacian growth half plane
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2010/4/7
We investigate a version of the Laplacian growth problem with zero surface tension in the half plane and find families of self-similar exact solutions.