45 citations · 172 across the 19 of their papers we have counts for
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Random Matrix Theory and the Sixth Painlevé Equation
P. J. Forrester, N. S. Witte
A feature of certain ensembles of random matrices is that the corresponding measure is invariant under conjugation by unitary matrices. Study of such ensembles realised by matrices…
Analytic solutions of the 1D finite coupling delta function Bose gas
P. J. Forrester, N. E. Frankel, M. I. Makin
An intensive study for both the weak coupling and strong coupling limits of the ground state properties of this classic system is presented. Detailed results for specific values of…
Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry
P. J. Forrester
Inter-relations between random matrix ensembles with different symmetry types provide inter-relations between generating functions for the gap probabilites at the spectrum edge. Co…
Asymptotic correlations for Gaussian and Wishart matrices with external source
Patrick Desrosiers, Peter J. Forrester
We consider ensembles of Gaussian (Hermite) and Wishart (Laguerre) hermitian matrices. We study the effect of finite rank perturbations of these ensembles by a source t…
Eigenvalue distributions for some correlated complex sample covariance matrices
P. J. Forrester
The distributions of the smallest and largest eigenvalues for the matrix product , where is an complex Gaussian matrix with correlations both along ro…
Quantum conductance problems and the Jacobi ensemble
P. J. Forrester
In one dimensional transport problems the scattering matrix is decomposed into a block structure corresponding to reflection and transmission matrices at the two ends. For …