193 citations · 2.8k across the 159 of their papers we have counts for
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Eigenvalue Separation in Some Random Matrix Models
Kevin E. Bassler, Peter J. Forrester, Norman E. Frankel
The eigenvalue density for members of the Gaussian orthogonal and unitary ensembles follows the Wigner semi-circle law. If the Gaussian entries are all shifted by a constant amount…
A method to calculate correlation functions for random matrices of odd size
Peter J. Forrester, Anthony Mays
The calculation of correlation functions for random matrix ensembles, which can be carried out using Pfaffians, has the peculiar feature of requiring a separate calculation d…
Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble
Peter J. Forrester, Taro Nagao
The partly symmetric real Ginibre ensemble consists of matrices formed as linear combinations of real symmetric and real anti-symmetric Gaussian random matrices. Such matrices typi…
The Anti-Symmetric GUE Minor Process
Peter J. Forrester, Eric Nordenstam
Our study is initiated by a multi-component particle system underlying the tiling of a half hexagon by three species of rhombi. In this particle system species consists of $\lf…
Determinantal Correlations for Classical Projection Processes
Peter J. Forrester, Taro Nagao
Recent applications in queuing theory and statistical mechanics have isolated the process formed by the eigenvalues of successive minors of the GUE. Analogous eigenvalue processes,…