The Levy stable analysis for tandem cascade model is performed. The Levy stable index mu of alpha-model is obtained by both Monte-Carlo simulation and analytical calculation. It is found that mu is increasing when the fluctuation becomes weaker, and vice versa, just as expected. It is shown that the Levy stable index of alpha-model depends mainly upon the model parameter alpha. Its weak dependence on the number lambda of branches in each elementary splitting is due to the normalization of probability in each step. The possible reason of the Levy ...
