193 citations · 2.8k across the 159 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…
A note on biorthogonal ensembles
Patrick Desrosiers, Peter J. Forrester
We consider ensembles of random matrices, known as biorthogonal ensembles, whose eigenvalue probability density function can be written as a product of two determinants. These syst…
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…
Relationships between -function and Fredholm determinant expressions for gap probabilities in random matrix theory
Patrick Desrosiers, Peter J. Forrester
The gap probabilities at the hard and soft edges of scaled random matrix ensembles with orthogonal symmetry are known in terms of -functions. Extending recent work relating to t…
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…