Abstract
We discuss the regularities of multiplicity distributions and the correlation pattern in different phase space domains. The distributions which describe reasonably well the multiplicity data in large domains (as the lognormal and negative binomial forms) fail in the case of small domains with large multiplicity fluctuations. Two alternative simple cascade models which lead to the logbinomial and Levy-stable distributions appear to have the minimal freedom (3 parameters) necessary to represent the data.
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