Images of eigenvalue distributions under power maps

Details Images of eigenvalue distributions under power maps Images of eigenvalue distributions under power maps

2000-08-10

arxiv.org/abs/math/0008079v1

Mathematics

Probability

15 pages, LaTeX (multicol, AMS macros)

Scientific paper

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 shown for general compact Lie groups. We study what happens when p

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