24 citations · 67 across the 18 of their papers we have counts for
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math.PR2005
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices
Peter J. Forrester, Eric M. Rains
In a recent work Killip and Nenciu gave random recurrences for the characteristic polynomials of certain unitary and real orthogonal upper Hessenberg matrices. The corresponding ei…
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…