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Intermittency and the central limit theorem

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Zeitschrift für Physik C Particles and Fields

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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 α-model. Consequences for the “empty bin effect” are indicated.

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Author notes

  1. A. Białas

    Present address: Institute of Physics, Jagellonian University, Reymonta 4, PL-30059, Cracow, Poland

Authors and Affiliations

  1. CERN, CH-1211, Geneva 23, Switzerland

    J. M. Alberty & A. Białas

Authors
  1. J. M. Alberty
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  2. A. Białas
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Supported by the World Laboratory/HED and the CERN/LAA Projects

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Alberty, J.M., Białas, A. Intermittency and the central limit theorem. Z. Phys. C - Particles and Fields 50, 315–320 (1991). https://doi.org/10.1007/BF01474084

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  • DOI: https://doi.org/10.1007/BF01474084

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