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open access

Fluctuation-Dissipation Process Without a Time Scale

Description: Article discussing the fluctuation-dissipation process without a time scale.
Date: May 2000
Creator: Annunziato, Mario; Grigolini, Paolo & Riccardi, Juri
Partner: UNT College of Arts and Sciences
open access

The Fractal Tapestry of Life: III Multifractals Entail the Fractional Calculus

Description: This article is the third essay advocating the use the (non-integer) fractional calculus (FC) to capture the dynamics of complex networks in the twilight of the Newtonian era. Herein, the focus is on drawing a distinction between networks described by monfractal time series extensively discussed in the prequels and how they differ in function from multifractal time series, using physiological phenomena as exemplars.
Date: April 15, 2022
Creator: West, Bruce J.
Partner: UNT College of Science
open access

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
Partner: UNT College of Arts and Sciences
open access

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
Partner: UNT College of Arts and Sciences
open access

Generalized Master Equation Via Aging Continuous-Time Random Walks

Description: This article discusses the problem of the equivalence between continuous-time random walk (CTRW) and generalized master equation (GME).
Date: 2003
Creator: Allegrini, Paolo; Aquino, Gerardo; Grigolini, Paolo; Palatella, Luigi & Rosa, Angelo
Partner: UNT College of Arts and Sciences
open access

Lévy Scaling: The Diffusion Entropy Analysis Applied to DNA Sequences

Description: Article on Lévy scaling and the diffusion entropy analysis applied to DNA sequences. The authors address the problem of the statistical analysis of a time series generated by complex dynamics with the diffusion entropy analysis.
Date: September 20, 2002
Creator: Scafetta, Nicola; Latora, Vito & Grigolini, Paolo
Partner: UNT College of Arts and Sciences
open access

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
Partner: UNT College of Arts and Sciences
open access

Meditation-Induced Coherence and Crucial Events

Description: This article emphasizes that 1/f noise has two different origins, one compatible with Laplace determinism and one determined by unpredictable crucial events.
Date: May 29, 2018
Creator: Tuladhar, Rohisha; Bohara, Gyanendra; Grigolini, Paolo & West, Bruce J.
Partner: UNT College of Science
open access

Mega et al. Reply

Description: This article is a reply to a comment by A. Helmstetter and D. Sornette about the article 'Power-Law Time Distribution of Large Earthquakes' from 2003.
Date: March 26, 2004
Creator: Mega, Mirko S.; Allegrini, Paolo; Grigolini, Paolo; Latora, Vito; Palatella, Luigi; Rapisarda, Andrea et al.
Partner: UNT College of Arts and Sciences
open access

Memory Effects in Fractional Brownian Motion with Hurst Exponent H<1/3

Description: This article discusses a study on the regression to the origin of a walker driven by dynamically generated fractional Brownian motion.
Date: August 27, 2010
Creator: Bologna, Mauro; Vanni, Fabio; Krokhin, Arkadii A. & Grigolini, Paolo
Partner: UNT College of Arts and Sciences
open access

Networking of psychophysics, psychology, and neurophysiology

Description: Article discussing the dynamic networking and dynamic networks in complex research on psychophysics, psychology, and neurophysiology.
Date: November 5, 2012
Creator: West, Bruce J. & Grigolini, Paolo
Partner: UNT College of Arts and Sciences
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