193 citations · 2.8k across the 159 of their papers we have counts for
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Spectral density asymptotics for Gaussian and Laguerre -ensembles in the exponentially small region
Peter J. Forrester
The first two terms in the large asymptotic expansion of the moment of the characteristic polynomial for the Gaussian and Laguerre -ensembles are calculated. This is use…
On the Variance of the Index for the Gaussian Unitary Ensemble
N. S. Witte, P. J. Forrester
We derive simple linear, inhomogeneous recurrences for the variance of the index by utilising the fact that the generating function for the distribution of the number of positive e…
Asymptotic forms for hard and soft edge general conditional gap probabilities
Peter J. Forrester, Nicholas S. Witte
An infinite log-gas formalism, due to Dyson, and independently Fogler and Shklovskii, is applied to the computation of conditioned gap probabilities at the hard and soft edges of r…
Fluctuation universality for a class of directed solid-on-solid models
Benjamin J. Fleming, Peter J. Forrester
Our interest is in a class of directed solid-on-solid models, which may be regarded as continuum versions of boxed plane partitions. In the case that the heights are chosen from a…
One-component plasma on a spherical annulus and a random matrix ensemble
Jonit Fischmann, Peter J. Forrester
The two-dimensional one-component plasma at the special coupling β= 2 is known to be exactly solvable, for its free energy and all of its correlations, on a variety of surfaces and…
Fredholm Determinant evaluations of the Ising Model diagonal correlations and their λ- generalisation
N. S. Witte, P. J. Forrester
The diagonal spin-spin correlations of the square lattice Ising model, originally expressed as Toeplitz determinants, are given by two distinct Fredholm determinants - one with an…