Norman Frankel

Scaling the universe

NE Frankel

Book Chapter  |  2014

Lehmer's Interesting Series

Freeman J Dyson, Norman E Frankel, M Lawrence Glasser

Journal article  |  2013  |  AMERICAN MATHEMATICAL MONTHLY

The series {equation presented} is evaluated in a nonrecursive and closed process. It can be analytically continued beyond its dom..

Edge effects in some perturbations of the Gaussian unitary ensemble

KE Bassler, PJ Forrester, NE Frankel

Journal article  |  2010  |  JOURNAL OF MATHEMATICAL PHYSICS

Eigenvalue separation in some random matrix models

KE Bassler, PJ Forrester, NE Frankel

Journal article  |  2009  |  JOURNAL OF MATHEMATICAL PHYSICS

The eigenvalue density for members of the Gaussian orthogonal and unitary ensembles follows the Wigner semicircle law. If the Gaus..

Analytic solutions of the one-dimensional finite-coupling delta-function Bose gas

PJ Forrester, NE Frankel, MI Makin

Journal article  |  2006  |  PHYSICAL REVIEW A

An intensive study for both the weak coupling and strong coupling limits of the ground state properties of this classic system is ..

Short wavelength analysis of the evolution of perturbations in a two-component cosmological fluid

RM Gailis, NE Frankel

Journal article  |  2006  |  JOURNAL OF MATHEMATICAL PHYSICS

The equations describing a two-component cosmological fluid with linearized density perturbations are investigated in the small wa..

Two-component cosmological fluids with gravitational instabilities

RM Gailis, NE Frankel

Journal article  |  2006  |  JOURNAL OF MATHEMATICAL PHYSICS

A survey of linearized cosmological fluid equations with a number of different matter components is made. To begin with, the one-c..

Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry

PJ Forrester, NE Frankel, TM Garoni

Journal article  |  2006  |  JOURNAL OF MATHEMATICAL PHYSICS

In a recent study we have obtained correction terms to the large N asymptotic expansions of the eigenvalue density for the Gaussia..

Asymptotic corrections to the eigenvalue density of the GUE and LUE

TM Garoni, PJ Forrester, NE Frankel

Journal article  |  2005  |  JOURNAL OF MATHEMATICAL PHYSICS

We obtain correction terms to the large N asymptotic expansions of the eigenvalue density for the Gaussian unitary and Laguerre un..

Applications and generalizations of Fisher-Hartwig asymptotics

PJ Forrester, NE Frankel

Journal article  |  2004  |  JOURNAL OF MATHEMATICAL PHYSICS

Fisher-Hartwig asymptotics refers to the large n form of a class of Toeplitz determinants with singular generating functions. This..