193 citations · 2.8k across the 159 of their papers we have counts for
10 papers · 2 filters
Harmonic analysis for rank-1 Randomised Horn Problems
Jiyuan Zhang, Mario Kieburg, Peter J. Forrester
The randomised Horn problem, in both its additive and multiplicative version, has recently drawn increasing interest. Especially, closed analytical results have been found for the…
Classical skew orthogonal polynomials in a two-component log-gas with charges and
Peter J Forrester, Shi-Hao Li
There is a two-component log-gas system with Boltzmann factor which provides an interpolation between the eigenvalue PDF for and invariant random matrix ensembles. Th…
Moments of the ground state density for the -dimensional Fermi gas in an harmonic trap
Peter J. Forrester
We consider properties of the ground state density for the -dimensional Fermi gas in an harmonic trap. Previous work has shown that the -dimensional Fourier transform has a v…
Applications in random matrix theory of a PIII -function sequence from Okamoto's Hamiltonian formulation
Dan Dai, Peter J. Forrester, Shuai-Xia Xu
We consider the singular linear statistic of the Laguerre unitary ensemble consisting of the sum of the reciprocal of the eigenvalues. It is observed that the exponential generatin…
Linear Differential Equations for the Resolvents of the Classical Matrix Ensembles
Anas A. Rahman, Peter J. Forrester
The spectral density for random matrix ensembles can be written in terms of the average of the absolute value of the characteristic polynomial raised to the power of , which…
Co-rank 1 projections and the randomised Horn problem
Peter J. Forrester, Jiyuan Zhang
Let be a normalised standard complex Gaussian vector, and project an Hermitian matrix onto the hyperplane orthogonal to . In a recent…