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Spectral fluctuation characterization of random matrix ensembles through wavelets

P. Manimaran·Prasanta K. Panigrahi·P. Anantha Lakshmi
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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.

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P. Manimaran, Prasanta K. Panigrahi, P. Anantha Lakshmi. 2006-05-07. Spectral fluctuation characterization of random matrix ensembles through wavelets. https://doi.org/10.1088/0305-4470%2F39%2F42%2Fl02

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