In this article, the authors discuss a dynamic procedure that makes fractional derivatives emerge in the time asymptotic limit of non-Poisson processes. The authors find that two-state fluctuations, with an inverse power-law distribution of waiting times, finite first moment, and divergent...

In this article, the authors study a fully connected network (cluster) of interacting two-state units as a model of cooperative decision making. Each unit in isolation generates a Poisson process with rate g. The authors show that when the number of nodes is finite, the decision-making process...

We analyze the data of the Italian and U.S. futures on the stock markets and we test the validity of the Continuous Time Random Walk assumption for the survival probability of the returns time series via a renewal aging experiment. We also study the survival probability of returns sign and apply...