193 citations · 2.8k across the 159 of their papers we have counts for
7 papers · 2 filters
A generalized plasma and interpolation between classical random matrix ensembles
Peter J. Forrester, Christopher D. Sinclair
The eigenvalue probability density functions of the classical random matrix ensembles have a well known analogy with the one component log-gas at the special couplings β= 1,2 and 4…
A Fuchsian matrix differential equation for Selberg correlation integrals
Peter J. Forrester, Eric M. Rains
We characterize averages of with respect to the Selberg density, further contrained so that and $(l=q+…
Difference system for Selberg correlation integrals
Peter J. Forrester, Masahiko Ito
The Selberg correlation integrals are averages of the products with respect to the Selberg density. Our interest is in the case …
The limiting Kac random polynomial and truncated random orthogonal matrices
Peter J. Forrester
An exact calculation of the eigenvalue statistics of truncated random Haar distributed real orthogonal matrices has recently been carried out by Khoruzhenko, Sommers and Zyczkowski…
Non-intersecting Brownian walkers and Yang-Mills theory on the sphere
Peter J. Forrester, Satya N. Majumdar, Gregory Schehr
We study a system of N non-intersecting Brownian motions on a line segment [0,L] with periodic, absorbing and reflecting boundary conditions. We show that the normalized reunion pr…
Jack polynomial fractional quantum Hall states and their generalizations
Wendy Baratta, Peter J. Forrester
In the the study of fractional quantum Hall states, a certain clustering condition involving up to four integers has been identified. We give a simple proof that particular Jack po…