66 citations · 127 across the 17 of their papers we have counts for
6 papers · 1 filter
Correlation function and generalized master equation of arbitrary age
Paolo Allegrini, Gerardo Aquino, Paolo Grigolini +3
We study a two-state statistical process with a non-Poisson distribution of sojourn times. In accordance with earlier work, we find that this process is characterized by aging and…
The random growth of interfaces as a subordinated process
R. Failla, P. Grigolini, M. Ignaccolo +1
We study the random growth of surfaces from within the perspective of a single column, namely, the fluctuation of the column height around the mean value, y(t)= h(t)-< h(t)>, which…
Non-Poisson processes: regression to equilibrium versus equilibrium correlation functions
P. Allegrini, P. Grigolini, L. Palatella +2
We study the response to perturbation of non-Poisson dichotomous fluctuations that generate super-diffusion. We adopt the Liouville perspective and with it a quantum-like approach…
Aging and Rejuvenation with Fractional Derivatives
Gerardo Aquino, Mauro Bologna, Paolo Grigolini +1
We discuss a dynamic procedure that makes the fractional derivatives emerge in the time asymptotic limit of non-Poisson processes. We find that two-state fluctuations, with an inve…
Non-Poisson dichotomous noise: higher-order correlation functions and aging
P. Allegrini, P. Grigolini, L. Palatella +1
We study a two-state symmetric noise, with a given waiting time distribution , and focus our attention on the connection between the four-time and the two-time correlation fu…
Non-Poisson distribution of the time distances between two consecutive clusters of earthquakes
L. Palatella, P. Allegrini, P. Grigolini +4
With the help of the Diffusion Entropy technique we show the non-Poisson statistics of the distances between consecutive Omori's swarms of earthquakes. We give an analytical proof…