activity
19942023
most citedApplication of the -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 2011 · math-phShow all

5 papers · 2 filters

math-ph2011★ 32 cited

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…

math-ph2011★ 11 cited

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…

math-ph2011★ 1 cited

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…

math-ph2011★ 14 cited

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…

math-ph2011★ 28 cited

Probability densities and distributions for spiked and general variance Wishart -ensembles

Peter J. Forrester

A Wishart matrix is said to be spiked when the underlying covariance matrix has a single eigenvalue different from unity. As increases through , a gap forms from the l…