Intermittency and the central limit theorem |
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Authors: | J. M. Alberty A. Białas |
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Affiliation: | 1. CERN, CH-1211, Geneva 23, Switzerland
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Abstract: | Central limit theorem estimates of anomalous fractal dimensions of self-similar random cascades are studied. It is found that, in general, the normal approximation fails badly. A systematic series of approximations which converges to the exact result (both for the fractal dimensions and for the distribution itself) is derived for the -model. Consequences for the empty bin effect are indicated.Supported by the World Laboratory/HED and the CERN/LAA Projects |
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