93 citations · 766 across the 42 of their papers we have counts for
Showing 2006Show all
3 papers · 1 filter
math-ph2006★ 71 cited
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…
math-ph2006★ 12 cited
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…
math-ph2006
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…