193 citations · 715 across the 44 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…
Gap Probabilities for Double Intervals in Hermitian Random Matrix Ensembles as -Functions -- Spectrum Singularity case
N. S. Witte
The probability for the exclusion of eigenvalues from an interval symmetrical about the origin for a scaled ensemble of Hermitian random matrices, where the Fredholm kerne…
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…
Discrete Painlevé equations and random matrix averages
P. J. Forrester, N. S. Witte
The -function theory of Painlevé systems is used to derive recurrences in the rank of certain random matrix averages over U(n). These recurrences involve auxilary quantities…