A Monte Carlo Study of the Levy Stability and Multifractal Spectrum in e+e- collisions
Abstract
The Levy stability analysis is carried out for e+e- collisions at Z0 mass using Monte Carlo method. The Levy index μ is found to be μ=1.701 +- 0.043. The self-similar generalized dimensions D(q) and multi-fractal spectrum f(α) are presented. The Renyi dimension D(q) decreases with increasing q. The self-similar multi-fractal spectrum is a convex curve with a maximum at q = 0, α = 1.169 +- 0.011. The right-side part of the spectrum, corresponding to negative values of q is obtained through analytical continuation.
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