151 citations · 801 across the 34 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 production rate of the coarse grained Gibbs entropy and the Kolmogorov-Sinai entropy: a real connection ?
Massimo Falcioni, Luigi Palatella, Angelo Vulpiani
We discuss the connection between the Kolmogorov-Sinai entropy, , and the production rate of the coarse grained Gibbs entropy, . Detailed numerical computations show t…
Absorption and Emission in the non-Poisson case
Gerardo Aquino, Luigi Palatella, Paolo Grigolini
This letter adresses the challenging problems posed to the Kubo-Anderson (KA) theory by the discovery of intermittent resonant fluorescence with a non-exponential distribution of w…
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…
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…