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- Simone Bianco, Massimiliano Ignaccolo, Mark S Rider, Mary J Ross, Phil Winsor, Paolo Grigolini
- Physical review. E, Statistical, nonlinear, and…
- 2007

In this paper we show that both music composition and brain function, as revealed by the electroencephalogram (EEG) analysis, are renewal non-Poisson processes living in the nonergodic dominion. To reach this important conclusion we process the data with the minimum spanning tree method, so as to detect significant events, thereby building a sequence of… (More)

- Malgorzata Turalska, Mirko Lukovic, Bruce J West, Paolo Grigolini
- Physical review. E, Statistical, nonlinear, and…
- 2009

We 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 . We show that when the number of nodes is finite, the decision-making process becomes intermittent. The decision-time distribution density is characterized by inverse power-law… (More)

- Malgorzata Turalska, Bruce J West, Paolo Grigolini
- Physical review. E, Statistical, nonlinear, and…
- 2011

We study a decision making model in a condition where it is equivalent to the two-dimensional Ising model, and we show that at the onset of phase transition it generates temporal complexity, namely, nonstationary and nonergodic fluctuations. We argue that this is a general property of criticality, thereby opening the door to the application of the recently… (More)

- Nicola Scafetta, Paolo Grigolini
- Physical review. E, Statistical, nonlinear, and…
- 2002

The methods currently used to determine the scaling exponent of a complex dynamic process described by a time series are based on the numerical evaluation of variance. This means that all of them can be safely applied only to the case where ordinary statistical properties hold true even if strange kinetics are involved. We illustrate a method of statistical… (More)

- Gerardo Aquino, Mauro Bologna, Bruce J West, Paolo Grigolini
- Physical review. E, Statistical, nonlinear, and…
- 2011

We study the transport of information between two complex systems with similar properties. Both systems generate non-Poisson renewal fluctuations with a power-law spectrum 1/f(3-μ), the case μ=2 corresponding to ideal 1/f noise. We denote by μ(S) and μ(P) the power-law indexes of the system of interest S and the perturbing system P, respectively. By… (More)

We study the intermittent fluorescence of a single molecule, jumping from the " light on " to the " light off " state, as a Poisson process modulated by a fluctuating environment. We show that the quasi-periodic and quasi-deterministic environmental fluctuations make the distribution of the times of sojourn in the " light off " state depart from the… (More)

- Paolo Allegrini, Danilo Menicucci, +5 authors Paolo Paradisi
- Physical review. E, Statistical, nonlinear, and…
- 2009

We study the electroencephalogram (EEG) of 30 closed-eye awake subjects with a technique of analysis recently proposed to detect punctual events signaling rapid transitions between different metastable states. After single-EEG-channel event detection, we study global properties of events simultaneously occurring among two or more electrodes termed… (More)

- Ludovico Silvestri, Leone Fronzoni, Paolo Grigolini, Paolo Allegrini
- Physical review letters
- 2009

We characterize the spectral properties of weak turbulence in a liquid crystal sample driven by an external electric field, as a function of the applied voltage, and we find a 1/f noise spectrum S(f) proportional, variant1/f;{eta} within the whole range 0<eta<2. We theoretically explore the hypothesis that the system complexity is driven by non-Poisson… (More)

This is an introduction to the special issue titled " Collective behavior and evolutionary games " that is in the making at Chaos, Solitons & Fractals. The term collective behavior covers many different phenomena in nature and society. From bird flocks and fish swarms to social movements and herding effects [1–5], it is the lack of a central planner that… (More)

- Mirko S Mega, Paolo Allegrini, +4 authors Sergio Vinciguerra
- Physical review letters
- 2003

We study the statistical properties of time distribution of seismicity in California by means of a new method of analysis, the diffusion entropy. We find that the distribution of time intervals between a large earthquake (the main shock of a given seismic sequence) and the next one does not obey Poisson statistics, as assumed by the current models. We prove… (More)