191 citations · 1.3k across the 37 of their papers we have counts for
18 papers · 1 filter
Transmission of Information between Complex Networks: 1/f-Resonance
Gerardo Aquino, Mauro Bologna, Paolo Grigolini +1
We study the transport of information between two complex networks with similar properties. Both networks generate non-Poisson renewal fluctuations with a power-law spectrum 1/f^(3…
Beyond the Death of Linear Response: 1/f optimal information transport
Gerardo Aquino, Mauro Bologna, Paolo Grigolini +1
Non-ergodic renewal processes have recently been shown by several authors to be insensitive to periodic perturbations, thereby apparently sanctioning the death of linear response,…
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-…
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…
Multi-Scaling Comparative Analysis of Time Series and a Discussion on "Earthquake Conversations" in California
Nicola Scafetta, Bruce J. West
Time series are characterized by complex memory and/or distribution patterns. In this letter we show that models obeying to different statistics may equally reproduce some pattern…
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…
An out-of-equilibrium model of the distributions of wealth
Nicola Scafetta, Sergio Picozzi, Bruce J. West
The distribution of wealth among the members of a society is herein assumed to result from two fundamental mechanisms, trade and investment. An empirical distribution of wealth sho…
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…
From Knowledge, Knowability and the Search for Objective Randomness to a New Vision of Complexity
Paolo Allegrini, Martina Giuntoli, Paolo Grigolini +1
Herein we consider various concepts of entropy as measures of the complexity of phenomena and in so doing encounter a fundamental problem in physics that affects how we understand…
Multiresolution Diffusion Entropy Analysis of time series: an application to births to teenagers in Texas
Nicola Scafetta, Bruce J. West
The multiresolution diffusion entropy analysis is used to evaluate the stochastic information left in a time series after systematic removal of certain non-stationarities. This met…
An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers
Nicola Scafetta, Timothy Imholt, J. A. Roberts +1
We study the fractal properties of the distances between consecutive primes. The distance sequence is found to be well described by a non-stationary exponential probability distrib…
Solar Flare Intermittency and the Earth's Temperature Anomalies
Nicola Scafetta, Bruce J. West
We argue that earth's short-term temperature anomalies and the solar flare intermittency are linked. The analysis is based upon the study of the scaling of both the spreading and t…
A nonlinear dynamical model of human gait
Bruce J. West, Nicola Scafetta
We present a nonlinear stochastic model of the human gait control system in a variety of gait regimes. The stride interval time series in normal human gait is characterized by slig…
Pareto's law: a model of human sharing and creativity
Nicola Scafetta, Sergio Picozzi, Bruce J. West
A computational model for the distribution of wealth among the members of an ideal society is presented. It is determined that a realistic distribution of wealth depends upon two m…
Holder exponent spectra for human gait
N. Scafetta, L. Griffin, B. J. West
The stride interval time series in normal human gait is not strictly constant, but fluctuates from step to step in a complex manner. More precisely, it has been shown that the cont…
Complexity, multiresolution, non-stationarity and entropic scaling: Teen birth thermodynamics
Nicola Scafetta, Bruce J. West
This paper presents a statistical methodology for analyzing a complex phenomenon in which deterministic and scaling components are superimposed. Our approach is based on the wavele…
Strange kinetics: conflict between density and trajectory description
M. Bologna, P. Grigolini, B. J. West
We study a process of anomalous diffusion, based on intermittent velocity fluctuations, and we show that its scaling depends on whether we observe the motion of many independent tr…
Canonical and non-canonical equilibrium distribution
M. Annunziato, P. Grigolini, B. J. West
We address the problem of the dynamical foundation of non-canonical equilibrium. We consider, as a source of divergence from ordinary statistical mechanics, the breakdown of the co…