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math.PR2000
Images of eigenvalue distributions under power maps
Eric M. Rains
In [earlier work by the author], it was shown that if U is a random n x n unitary matrix, then for any p>=n, the eigenvalues of U^p are i.i.d. uniform; similar results were also sh…
math.PR2000
Limiting distributions for a polynuclear growth model with external sources
Jinho Baik, Eric Rains
The purpose of this paper is to investigate the limiting distribution functions for a polynuclear growth model with two external sources, which was considered by Prähofer and Spohn…