P. J. Forrester

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19992003

most citedDevelopments in Random Matrix Theory

1 citations · 1 across the 1 of their papers we have counts for

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math-ph2002

Application of the $τ$ -function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE

P. J. Forrester, N. S. Witte

With $< \cdot >$ denoting an average with respect to the eigenvalue PDF for the Laguerre unitary ensemble, the object of our study is $ \tilde{E}_N(I;a,μ) := < \prod_{l=1}^N χ_{(0,\i…

math-ph2000

Integrability, Random Matrices and Painlevé Transcendents

N. S. Witte, P. J. Forrester, Christopher M. Cosgrove

The probability that an interval $I$ is free of eigenvalues in a matrix ensemble with unitary symmetry is given by a Fredholm determinant. When the weight function in the matrix en…

Application of the τ-function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE

Integrability, Random Matrices and Painlevé Transcendents

Application of the $τ$ -function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE