PROBLEM: Distribution of Eigenvalue Spacings for Band Diagonal Matrices

INVESTIGATOR: Nathan Miller

DESCRIPTION: The purpose of this paper is to look at the nearest neighbor spacings of
eigenvalues for band-diagonal matrices. We study the cases when the matrix elements are determined
using a Cauchy distribution, a Laplace (double exponential) distribution, and a Uniform distribution.
When a band of radius 1, i.e. a diagonal matrix, is used, the spacings of eigenvalues should look very
differently than when the spacings of eigenvalues for a band of radius N (of an N by N matrix),
i.e. just a random symmetric N by N matrix, is used.

PAPERS: banddiag.dvi    banddiag.pdf    banddiag.tex

PROGRAMS: banddiag.nb

IMAGES: NMbanddiagfiles.zip