Abstract

The Lévy stability analysis is carried out for e+e- collisionsat Z0 mass using the Monte Carlo method. The Lévy index µis found to be µ = 1.701±0.043. The self-similar generalizeddimensions D(q) and multi-fractal spectrum f(α) are presented.The Rényi dimension D(q) decreases with increasing q. Theself-similar multi-fractal spectrum is a convex curve with a maximum atq = 0, α = 1.169±0.011. The right-hand side of the spectrum,corresponding to negative values of q, is obtained through analyticalcontinuation.

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