193 citations · 2.8k across the 159 of their papers we have counts for
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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…
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…
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 …