193 citations · 2.8k across the 159 of their papers we have counts for
166 papers
Relations between generalised Wishart matrices, the Muttalib--Borodin model and matrix spherical functions
Peter J. Forrester
Generalised uncorrelated Wishart matrices are formed out of rectangular standard Gaussian data matrices with a certain pattern of zero entries. Development of the theory in the rea…
Expanding the Fourier transform of the scaled circular Jacobi ensemble density
Peter J. Forrester, Bo-Jian Shen
The family of circular Jacobi ensembles has a singularity of a type associated with Fisher and Hartwig in the theory of Toeplitz determinants. Our interest is in the Fourier tr…
Local central limit theorem for real eigenvalue fluctuations of elliptic GinOE matrices
Peter J. Forrester
Random matrices from the elliptic Ginibre orthogonal ensemble (GinOE) are a certain linear combination of a real symmetric, and real anti-symmetric, real Gaussian random matrices a…
Progress on the study of the Ginibre ensembles II: GinOE and GinSE
Sung-Soo Byun, Peter J. Forrester
This is part II of a review relating to the three classes of random non-Hermitian Gaussian matrices introduced by Ginibre in 1965. While part I restricted attention to the GinUE (G…
Progress on the study of the Ginibre ensembles I: GinUE
Sung-Soo Byun, Peter J. Forrester
The Ginibre unitary ensemble (GinUE) consists of random matrices with independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre, who showed…
Spherical Induced Ensembles with Symplectic Symmetry
Sung-Soo Byun, Peter J. Forrester
We consider the complex eigenvalues of the induced spherical Ginibre ensemble with symplectic symmetry and establish the local universality of these point processes along the real…