Generic Emergence of Power Law Distributions and Lévy-Stable Intermittent Fluctuations in Discrete Logistic Systems

Ofer Biham, Ofer Malcai, Moshe Levy +1

The dynamics of generic stochastic Lotka-Volterra (discrete logistic) systems of the form \cite{Solomon96a} $w_i(t+1)=\lambda (t)w_i(t)+a\bar{w}(t)-b{w}_i(t)\bar{w}(t)$ is s…