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5 papers
Developments in Random Matrix Theory
N. C. Snaith, P. J. Forrester, J. J. M. Verbaarschot
In this preface to the Journal of Physics A, Special Edition on Random Matrix Theory, we give a review of the main historical developments of random matrix theory. A short summary…
Application of the -function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE
P. J. Forrester, N. S. Witte
With 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…
Integrability, Random Matrices and Painlevé Transcendents
N. S. Witte, P. J. Forrester, Christopher M. Cosgrove
The probability that an interval 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…
Pieri-type formulas for the non-symmetric Jack polynomials
P. J. Forrester, D. S. McAnally
In the theory of symmetric Jack polynomials the coefficients in the expansion of the th elementary symmetric function times a Jack polynomial expressed as a series in J…
Exact Finite Size Study of the 2dOCP at Gamma=4 and Gamma=6
G. Tellez, P. J. Forrester
An exact numerical study is undertaken into the finite calculation of the free energy and distribution functions for the two-dimensional one-component plasma. Both disk and sph…