28 citations · 58 across the 4 of their papers we have counts for
7 papers
Eigenvalue Separation in Some Random Matrix Models
Kevin E. Bassler, Peter J. Forrester, Norman E. Frankel
The eigenvalue density for members of the Gaussian orthogonal and unitary ensembles follows the Wigner semi-circle law. If the Gaussian entries are all shifted by a constant amount…
Short Wavelength Analysis of the Evolution of Perturbations in a Two-component Cosmological Fluid
R. M. Gailis, N. E. Frankel
The equations describing a two-component cosmological fluid with linearized density perturbations are investigated in the small wavelength or large limit. The equations are for…
Two-Component Cosmological Fluids with Gravitational Instabilities
R. M. Gailis, N. E. Frankel
A survey of linearized cosmological fluid equations with a number of different matter components is made. To begin with, the one-component case is reconsidered to illustrate some i…
Analytic solutions of the 1D finite coupling delta function Bose gas
P. J. Forrester, N. E. Frankel, M. I. Makin
An intensive study for both the weak coupling and strong coupling limits of the ground state properties of this classic system is presented. Detailed results for specific values of…
Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry
P. J. Forrester, N. E. Frankel, T. M. Garoni
In a recent study we have obtained correction terms to the large N asymptotic expansions of the eigenvalue density for the Gaussian unitary and Laguerre unitary ensembles of random…
Asymptotic corrections to the eigenvalue density of the GUE and LUE
T. M. Garoni, P. J. Forrester, N. E. Frankel
We obtain correction terms to the large N asymptotic expansions of the eigenvalue density for the Gaussian unitary and Laguerre unitary ensembles of random N by N matrices, both in…