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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math-ph2004

Spacing distributions in random matrix ensembles

P. J. Forrester

This paper is my contribution to the planned publication Recent Perspectives in Random Matrix Theory (Cambridge University Press). Addressed is the problem of computing spacing dis…

math-ph2004★ 23 cited

Discrete Painlevé equations for a class of \PVI $τ$ -functions given as U(N) averages

P. J. Forrester, N. S. Witte

In a recent work difference equations (Laguerre-Freud equations) for the bi-orthogonal polynomials and related quantities corresponding to the weight on the unit circle $ w(z)=\pro…

math.CA2004

Bi-orthogonal Polynomials on the Unit Circle, regular semi-classical Weights and Integrable Systems

P. J. Forrester, N. S. Witte

The theory of bi-orthogonal polynomials on the unit circle is developed for a general class of weights leading to systems of recurrence relations and derivatives of the polynomials…

Spacing distributions in random matrix ensembles

Discrete Painlevé equations for a class of \PVI τ-functions given as U(N) averages

Bi-orthogonal Polynomials on the Unit Circle, regular semi-classical Weights and Integrable Systems

Discrete Painlevé equations for a class of \PVI $τ$ -functions given as U(N) averages