Peter J. Forrester
University of Melbourne
433 Papers
2.6K Citations
Peter J. Forrester is an academic researcher from University of Melbourne. The author has contributed to research in topics: Random matrix & Eigenvalues and eigenvectors. The author has an hindex of 49, co-authored 420 publications. Previous affiliations of Peter J. Forrester include La Trobe University & Australian National University.
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Papers
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Correlation functions for random involutions
TL;DR: In this article, a scaled joint distribution associated with $k$-increasing subsequences for random involutions with a prescribed number of fixed points is proposed. But the authors focus on the scalar correlations and distribution function for the random matrix theory from the study of ensembles.
Rank probabilities for real random $N\times N\times 2$ tensors
TL;DR: In this paper, it was shown that the probability of having real generalized eigenvalues for real random Gaussian matrices of real rank n is 1-P_N. This is a rational number for n = 2.
Charged classical systems and BDJ-type wavefunctions for quantum fluids
TL;DR: In this paper, the effect of a periodic potential on a quantum fluid is modelled by a BDJ-type wavefunction, and criteria specifying the phase (mobile or pinned) formulated.
Exact and asymptotic features of the edge density profile for the one component plasma in two dimensions
TL;DR: In this paper, the Laughlin trial wave function for the fractional quantum Hall effect and the Boltzmann factor for the two-dimensional one-component plasma were compared, and a double layer structure was found, which in turn implies an overshoot of the density as the edge of the leading support is approached from inside the plasma.
Finite N Fluctuation Formulas for Random Matrices
T. H. Baker,Peter J. Forrester +1 more
TL;DR: For the Gaussian and Laguerre random matrix ensembles, the probability density function (p.d.f.) for the linear statistic is computed exactly and shown to satisfy a central limit theorem as $N \to \infty.