Spectral fluctuations of tridiagonal random matrices from the beta-Hermite ensemble

Details Spectral fluctuations of tridiagonal random matrices from the beta-Hermite ensemble Spectral fluctuations of tridiagonal random matrices from the beta-Hermite ensemble

2007-04-26

arxiv.org/abs/0704.3590v1

Physics

Condensed Matter

Statistical Mechanics

35 pages, 10 figures, corresponding author: G. Le Caer

Scientific paper

10.1103/PhysRevE.76.042101

A time series delta(n), the fluctuation of the nth unfolded eigenvalue was recently characterized for the classical Gaussian ensembles of NxN random matrices (GOE, GUE, GSE). It is investigated here for the beta-Hermite ensemble as a function of beta (zero or positive) by Monte Carlo simulations. The fluctuation of delta(n) and the autocorrelation function vary logarithmically with n for any beta>0 (1<

Affiliated with

Also associated with

No associations

Rating

Spectral fluctuations of tridiagonal random matrices from the beta-Hermite ensemble does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectral fluctuations of tridiagonal random matrices from the beta-Hermite ensemble, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral fluctuations of tridiagonal random matrices from the beta-Hermite ensemble will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-373455