193 citations · 2.8k across the 159 of their papers we have counts for
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A random matrix decimation procedure relating to
Peter J. Forrester
Classical random matrix ensembles with orthogonal symmetry have the property that the joint distribution of every second eigenvalue is equal to that of a classical random matrix en…
The importance of the Selberg integral
Peter J. Forrester, S. Ole Warnaar
It has been remarked that a fair measure of the impact of Atle Selberg's work is the number of mathematical terms which bear his name. One of these is the Selberg integral, an n-di…
On the gap probability generating function at the spectrum edge in the case of orthogonal symmetry
Peter J. Forrester
The gap probability generating function has as its coefficients the probability of an interval containing exactly eigenvalues. For scaled random matrices with orthogonal symmet…
Eigenvalue statistics of the real Ginibre ensemble
Peter J. Forrester, Taro Nagao
The real Ginibre ensemble consists of random matrices formed from i.i.d. standard Gaussian entries. By using the method of skew orthogonal polynomials, the general …
Symmetrized models of last passage percolation and non-intersecting lattice paths
Peter J. Forrester, Eric M. Rains
It has been shown that the last passage time in certain symmetrized models of directed percolation can be written in terms of averages over random matrices from the classical group…
The Distribution of the first Eigenvalue Spacing at the Hard Edge of the Laguerre Unitary Ensemble
Peter J. Forrester, Nicholas S. Witte
The distribution function for the first eigenvalue spacing in the Laguerre unitary ensemble of finite rank random matrices is found in terms of a Painlevé V system, and the solutio…