A multifractal study of the scaling property of gamma-ray burst time profiles

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Abstract
Multifractal analyses have been proven successful in exposing scaling properties of experimental data. These methods of analysis have been applied to diverse areas of research including solar magnetic fields and dissipative fluid dynamics. Moreover, they are especially useful as algorithms for the detection of fully developed turbulence. In this preliminary paper we use the observed multiplier distribution, P(M), to directly calculate the f(α) function of gamma-ray burst time profiles. The results show the time-scaling properties of these profiles. At the very least, multifractal analyses should provide a better way to categorize GRB time profiles than currently exists. In the most-optimistic scenario, however, these algorithms could reveal fundamental physical properties of the underlying system(s) that produce the bursts.

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