7 papers
-Selberg extensions of Gasper's two stage -beta integrals
Masahiko Ito, Peter J. Forrester
Gasper gave a two-step extension of the Askey-Roy formula for a beta-integral type defined on the unit circle. This involved increasing the number of parameters and adding a balanc…
Higher-Order Linear Differential Equations for Unitary Matrix Integrals: Applications and Generalisations
Peter J. Forrester, Fei Wei
In this paper, we consider characterisations of the class of unitary matrix integrals …
A note on "Higher order linear differential equations for unitary matrix integrals: applications and generalisations"
Peter J. Forrester, Fei Wei
In this note, we briefly introduce the background and motivation of the collaborative work [arXiv:2508.20797], and provide an outline of the main results. The latter relates to mat…
Integrability enabled computations relating to the fixed trace Laguerre ensemble
Peter J. Forrester, Shinsuke M. Nishigaki
Studies of density matrices for random quantum states lead naturally to the fixed trace Laguerre ensemble in random matrix theory. Previous studies have uncovered explicit rational…
Moments of characteristic polynomials for classical ensembles
Bo-Jian Shen, Peter J. Forrester
For random matrix ensembles with unitary symmetry, there is interest in the large form of the moments of the absolute value of the characteristic polynomial for their relevance…
Dualities in random matrix theory
Peter J. Forrester
Duality identities in random matrix theory for products and powers of characteristic polynomials, and for moments, are reviewed. The structure of a typical duality identity for the…