Random Cascading α Model

作者:张勇和;刘连寿;张孝泽 刊名:Science in China,Ser.A 上传者:胡鸿影

【摘要】 The random cascading model is studied in some detail. The dependence of intermittency indices in this model on the elementary partition number λ is discussed, and a method for calculating the moments in the case of partition number M being unequal to the integer power of λ is proposed. It is found that the model with a single elementary partition number λ does not fulfil the requirement of fractality that anomalous exponential law should be valid for any integer M. Randomly taking a number of λs can improve the situation notably.A model with noninteger λ is also established for-future application.

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