P. Forrester

activity

19942023

τ

-Function Theory of Painlevé Equations to Random Matrices: PIV, PII and the GUE

193 citations · 2.8k across the 159 of their papers we have counts for

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Showing 2005 · math-phShow all

3 papers · 2 filters

math-ph2005★ 49 cited

Hermite and Laguerre $β$ -ensembles: asymptotic corrections to the eigenvalue density

Patrick Desrosiers, Peter J. Forrester

We consider Hermite and Laguerre $β$ -ensembles of large $N \times N$ random matrices. For all $β$ even, corrections to the limiting global density are obtained, and the limiting den…

math-ph2005★ 34 cited

Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry

P. J. Forrester, N. E. Frankel, T. M. Garoni

In a recent study we have obtained correction terms to the large N asymptotic expansions of the eigenvalue density for the Gaussian unitary and Laguerre unitary ensembles of random…

math-ph2005★ 37 cited

Asymptotic corrections to the eigenvalue density of the GUE and LUE

T. M. Garoni, P. J. Forrester, N. E. Frankel

We obtain correction terms to the large N asymptotic expansions of the eigenvalue density for the Gaussian unitary and Laguerre unitary ensembles of random N by N matrices, both in…

Hermite and Laguerre β-ensembles: asymptotic corrections to the eigenvalue density

Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry

Asymptotic corrections to the eigenvalue density of the GUE and LUE

Hermite and Laguerre $β$ -ensembles: asymptotic corrections to the eigenvalue density