Spectral fluctuation characterization of random matrix ensembles through wavelets

Details Spectral fluctuation characterization of random matrix ensembles through wavelets Spectral fluctuation characterization of random matrix ensembles through wavelets

2006-05-07

arxiv.org/abs/nlin/0605019v1

Nonlinear Sciences

Chaotic Dynamics

7 pages, 2 eps figures

Scientific paper

10.1088/0305-4470/39/42/L02

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.

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