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Dynamical approach to Lévy processes

Description: This article discusses a dynamical approach to Lévy processes, which makes it possible to derive all statistical properties of the diffusion process from the correlation function of the dichotomous fluctuating variable Φy(t).
Date: November 1996
Creator: Allegrini, Paolo; Grigolini, Paolo & West, Bruce J.
Item Type: Article

Renewal, Modulation, and Superstatistics in Times Series

Description: Article discussing two different approaches, referred to as renewal and modulation, to generate time series with a nonexponential distribution of waiting times.
Date: April 27, 2006
Creator: Allegrini, Paolo; Barbi, Francesco; Grigolini, Paolo & Paradisi, Paolo
Item Type: Article

Dynamics of Electroencephalogram Entropy and Pitfalls of Scaling Detection

Description: This article discusses dynamics of electroencephalogram entropy and pitfalls of scaling detection. Herein the authors study the time evolution of diffusion entropy to elucidate the scaling of EGG time series.
Date: March 10, 2010
Creator: Ignaccolo, Massimiliano; Latka, Miroslaw; Jernajczyk, Wojciech; Grigolini, Paolo & West, Bruce J.
Item Type: Article

Spontaneous Brain Activity as a Source of Ideal 1/f Noise

Description: In this article, the authors study the electroencephalogram (EEG) of 30 closed-eye subjects with a technique of analysis recently proposed to detect punctual events signaling rapid transitions between different metastable states.
Date: December 18, 2009
Creator: Allegrini, Paolo; Menicucci, Danilo; Bedini, Remo; Fronzoni, Leone; Gemignani, Angelo; Grigolini, Paolo et al.
Item Type: Article

From power law intermittence to macroscopic coherent regime

Description: Article addressing the problem of establishing which is the proper form of quantum master equation generating a survival probability identical to that corresponding to the nonergodic sequence of "light on" and "light off" fluorescence fluctuations in blinking quantum dots.
Date: June 25, 2009
Creator: Bologna, Mauro; Budini, Adrián A.; Giraldi, Filippo & Grigolini, Paolo
Item Type: Article

Linear response at criticality

Description: In this article, the authors study a set of cooperatively interacting units at criticality, and prove with analytical and numerical arguments that they generate the same renewal non-Poisson intermittency as that produced by blinking quantum dots.
Date: October 24, 2012
Creator: Svenkeson, Adam; Bologna, Mauro & Grigolini, Paolo
Item Type: Article

From self-organized to extended criticality

Description: Article discussing the criticality of transition processes in neurophysiology.
Date: April 26, 2012
Creator: Lovecchio, Elisa; Allegrini, Paolo; Geneston, Elvis L.; West, Bruce J. & Grigolini, Paolo
Item Type: Article