193 citations · 2.8k across the 159 of their papers we have counts for
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Pfaffian point process for the Gaussian real generalised eigenvalue problem
Peter J. Forrester, Anthony Mays
The generalised eigenvalues for a pair of matrices are defined as the solutions of the equation , or equivalently, for invertible,…
Matrix averages relating to the Ginibre ensembles
Peter J. Forrester, Eric M. Rains
The theory of zonal polynomials is used to compute the average of a Schur polynomial of argument , where is a fixed matrix and is from the real Ginibre ensemble. This g…
Derivation of an eigenvalue probability density function relating to the Poincare disk
Peter J. Forrester, Manjunath Krishnapur
A result of Zyczkowski and Sommers [J.Phys.A, 33, 2045--2057 (2000)] gives the eigenvalue probability density function for the top N x N sub-block of a Haar distributed matrix from…
Tridiagonal realization of the anti-symmetric Gaussian -ensemble
Ioana Dumitriu, Peter J. Forrester
The Householder reduction of a member of the anti-symmetric Gaussian unitary ensemble gives an anti-symmetric tridiagonal matrix with all independent elements. The random variables…