Spectral fluctuation characterization of random matrix ensembles through wavelets
Manimaran, P. · Panigrahi, Prasanta K. · Lakshmi, P. Anantha
Original · EN
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.
English translation
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