1 citations · 2 across the 4 of their papers we have counts for
4 papers
Random discrete Schrödinger operators from Random Matrix Theory
Jonathan Breuer, Peter J. Forrester, Uzy Smilansky
We investigate random, discrete Schrödiner operators which arise naturally in the theory of random matrices, and depend parametrically on Dyson's Coulomb gas inverse temperature $β…
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…
Counting formulas associated with some random matrix averages
Peter J. Forrester, Alex Gamburd
Moments of secular and inverse secular coefficients, averaged over random matrices from classical groups, are related to the enumeration of non-negative matrices with prescribed ro…