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arXiv · hep-ph/9812310

Levy Stability Index from Multifractal Spectrum

Hu Yuan·Yu Meiling·Liu Lianshou
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Abstract

A method for extracting the Levy stability index $μ$ from the multi-fractal spectrum $f(α)$ in high energy multiparticle production is proposed. This index is an important parameter, characterizing the non-linear behaviour of dynamical fluctuations in high energy collisions. Using the random cascading $α$ model as example, the validity of this method is tested. It is shown that this method, basing on a linear fit, is consistent with and more accurate than the usual method of fitting the ratio of $q$th to 2nd order multi-fractal (Rényi) dimensions to the Peschanski formula.

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Hu Yuan, Yu Meiling, Liu Lianshou. 1998-12-10. Levy Stability Index from Multifractal Spectrum. https://doi.org/10.1088/0256-307x%2F16%2F8%2F003

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