4 citations · 4 across the 4 of their papers we have counts for
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Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and -recurrences for averages over U(N) -- \PVI -functions
P. J. Forrester, N. S. Witte
The theory of orthogonal polynomials on the unit circle is developed for a general class of weights leading to systems of recurrence relations and derivatives of the polynomials an…
Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and N-recurrences for averages over U(N) -- \PIIIa and \PV -functions
P. J. Forrester, N. S. Witte
In this work we show that the Toeplitz determinants with the symbols and -- known -functions for th…
Exact Wigner surmise type evaluation of the spacing distribution in the bulk of the scaled random matrix ensembles
P. J. Forrester, N. S. Witte
Random matrix ensembles with orthogonal and unitary symmetry correspond to the cases of real symmetric and Hermitian random matrices respectively. We show that the probability dens…
Integrability, Random Matrices and Painlevé Transcendents
N. S. Witte, P. J. Forrester, Christopher M. Cosgrove
The probability that an interval is free of eigenvalues in a matrix ensemble with unitary symmetry is given by a Fredholm determinant. When the weight function in the matrix en…