193 citations · 2.8k across the 159 of their papers we have counts for
6 papers · 1 filter
Boundary conditions associated with the Painlevé III' and V evaluations of some random matrix averages
P. J. Forrester, N. S. Witte
In a previous work a random matrix average for the Laguerre unitary ensemble, generalising the generating function for the probability that an interval at the hard edge c…
Hermite and Laguerre -ensembles: asymptotic corrections to the eigenvalue density
Patrick Desrosiers, Peter J. Forrester
We consider Hermite and Laguerre -ensembles of large random matrices. For all even, corrections to the limiting global density are obtained, and the limiting den…
Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry
P. J. Forrester, N. E. Frankel, T. M. Garoni
In a recent study we have obtained correction terms to the large N asymptotic expansions of the eigenvalue density for the Gaussian unitary and Laguerre unitary ensembles of random…
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices
Peter J. Forrester, Eric M. Rains
In a recent work Killip and Nenciu gave random recurrences for the characteristic polynomials of certain unitary and real orthogonal upper Hessenberg matrices. The corresponding ei…
Asymptotic corrections to the eigenvalue density of the GUE and LUE
T. M. Garoni, P. J. Forrester, N. E. Frankel
We obtain correction terms to the large N asymptotic expansions of the eigenvalue density for the Gaussian unitary and Laguerre unitary ensembles of random N by N matrices, both in…
Correlation functions for random involutions
Peter J. Forrester, Taro Nagao, Eric M. Rains
Our interest is in the scaled joint distribution associated with -increasing subsequences for random involutions with a prescribed number of fixed points. We proceed by specifyi…