4 citations · 7 across the 8 of their papers we have counts for
15 papers
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…
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…
Spacing distributions in random matrix ensembles
P. J. Forrester
This paper is my contribution to the planned publication Recent Perspectives in Random Matrix Theory (Cambridge University Press). Addressed is the problem of computing spacing dis…
Bi-orthogonal Polynomials on the Unit Circle, regular semi-classical Weights and Integrable Systems
P. J. Forrester, N. S. Witte
The theory of bi-orthogonal polynomials on the unit circle is developed for a general class of weights leading to systems of recurrence relations and derivatives of the polynomials…
Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and -recurrences for averages over U(N) -- \PVI -functions
P. J. Forrester, N. S. Witte
The theory of orthogonal polynomials on the unit circle is developed for a general class of weights leading to systems of recurrence relations and derivatives of the polynomials an…
Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and N-recurrences for averages over U(N) -- \PIIIa and \PV -functions
P. J. Forrester, N. S. Witte
In this work we show that the Toeplitz determinants with the symbols and -- known -functions for th…