151 citations · 669 across the 26 of their papers we have counts for
26 papers
Response of Complex Systems to Complex Perturbations: the Complexity Matching Effect
Paolo Allegrini, Mauro Bologna, Paolo Grigolini +1
The dynamical emergence (and subsequent intermittent breakdown) of collective behavior in complex systems is described as a non-Poisson renewal process, characterized by a waiting-…
Response of Complex Systems to Complex Perturbations: Complexity Matching
Paolo Allegrini, Mauro Bologna, Paolo Grigolino +1
We argue that complex systems, defined as non-Poisson renewal process, with complexity index , exchange information through complexity matching. We illustrate this property with…
Renewal aging and linear response
Paolo Allegrini, Gianluca Ascolani, Mauro Bologna +1
We study the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion. We use the phenomenolo…
Renewal, Modulation and Superstatistics
Paolo Allegrini, Francesco Barbi, Paolo Grigolini +1
We consider two different proposals to generate a time series with the same non-Poisson distribution of waiting times, to which we refer to as renewal and modulation. We show that,…
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…
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…