Spectral fluctuation characterization of random matrix ensembles through wavelets
Chaotic Dynamics
2009-11-11 v1
Abstract
A recently developed wavelet based approach is employed to characterize the scaling behavior of spectral fluctuations of random matrix ensembles, as well as complex atomic systems. Our study clearly reveals anti-persistent behavior and supports the Fourier power spectral analysis. It also finds evidence for multi-fractal nature in the atomic spectra. The multi-resolution and localization nature of the discrete wavelets ideally characterizes the fluctuations in these time series, some of which are not stationary.
Cite
@article{arxiv.nlin/0605019,
title = {Spectral fluctuation characterization of random matrix ensembles through wavelets},
author = {P. Manimaran and Prasanta K. Panigrahi and P. Anantha Lakshmi},
journal= {arXiv preprint arXiv:nlin/0605019},
year = {2009}
}
Comments
7 pages, 2 eps figures