4 citations · 7 across the 8 of their papers we have counts for
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Spacing distributions in random matrix ensembles
P. J. Forrester
This paper is my contribution to the planned publication Recent Perspectives in Random Matrix Theory (Cambridge University Press). Addressed is the problem of computing spacing dis…
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…
Interpretations of some parameter dependent generalizations of classical matrix ensembles
Peter J. Forrester, Eric M. Rains
Two types of parameter dependent generalizations of classical matrix ensembles are defined by their probability density functions (PDFs). As the parameter is varied, one interpolat…
Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter
Peter J. Forrester, Eric M. Rains
A superposition of a matrix ensemble refers to the ensemble constructed from two independent copies of the original, while a decimation refers to the formation of a new ensemble by…
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…