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  Partner: UNT College of Arts and Sciences
 Department: Center for Nonlinear Science
 Collection: UNT Scholarly Works
Fractional calculus as a macroscopic manifestation of randomness

Fractional calculus as a macroscopic manifestation of randomness

Date: March 1999
Creator: Grigolini, Paolo; Rocco, A. (Andrea) & West, Bruce J.
Description: Article discussing fractional calculus as a macroscopic manifestation of randomness.
Contributing Partner: UNT College of Arts and Sciences
From Knowledge, Knowability and the Search for Objective Randomness to a New Vision of Complexity

From Knowledge, Knowability and the Search for Objective Randomness to a New Vision of Complexity

Date: February 2, 2008
Creator: Allegrini, Paolo; Giuntoli, Martina; Grigolini, Paolo & West, Bruce J.
Description: Paper discussing knowledge, knowability, and the search for objective randomness to a new vision of complexity.
Contributing Partner: UNT College of Arts and Sciences
From power law intermittence to macroscopic coherent regime

From power law intermittence to macroscopic coherent regime

Date: June 25, 2009
Creator: Bologna, Mauro; Budini, Adrián A.; Giraldi, Filippo & Grigolini, Paolo
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.
Contributing Partner: UNT College of Arts and Sciences
From self-organized to extended criticality

From self-organized to extended criticality

Date: April 26, 2012
Creator: Lovecchio, Elisa; Allegrini, Paolo; Geneston, Elvis L.; West, Bruce J. & Grigolini, Paolo
Description: Article discussing the criticality of transition processes in neurophysiology.
Contributing Partner: UNT College of Arts and Sciences
Generalized Master Equation Via Aging Continuous-Time Random Walks

Generalized Master Equation Via Aging Continuous-Time Random Walks

Date: 2003
Creator: Allegrini, Paolo; Aquino, Gerardo; Grigolini, Paolo; Palatella, Luigi & Rosa, Angelo
Description: This article discusses the problem of the equivalence between continuous-time random walk (CTRW) and generalized master equation (GME).
Contributing Partner: UNT College of Arts and Sciences
In the search for the low-complexity sequences in prokaryotic and eukaryotic genomes: how to derive a coherent picture from global and local entropy measures

In the search for the low-complexity sequences in prokaryotic and eukaryotic genomes: how to derive a coherent picture from global and local entropy measures

Date: 2003
Creator: Acquisti, Claudia; Allegrini, Paolo; Bogani, Patrizia; Buiatti, Marcello, 1937-; Catanese, Elena; Fronzoni, Leone et al.
Description: Paper discussing the search for the low-complexity sequences in prokaryotic and eukaryotic genomes and how to derive a coherent picture from global and local entropy measures.
Contributing Partner: UNT College of Arts and Sciences
Intermittency and scale-free networks: a dynamical model for human language complexity

Intermittency and scale-free networks: a dynamical model for human language complexity

Date: 2004
Creator: Allegrini, Paolo; Grigolini, Paolo & Palatella, Luigi
Description: Article discussing intermittency, scale-free networks, and a dynamical model for human language complexity.
Contributing Partner: UNT College of Arts and Sciences
Lévy diffusion as an effect of sporadic randomness

Lévy diffusion as an effect of sporadic randomness

Date: December 1999
Creator: Bologna, Mauro; Grigolini, Paolo & Riccardi, Juri
Description: This article discusses Lévy diffusion as an effect of sporadic randomness.
Contributing Partner: UNT College of Arts and Sciences
Lévy Scaling: The Diffusion Entropy Analysis Applied to DNA Sequences

Lévy Scaling: The Diffusion Entropy Analysis Applied to DNA Sequences

Date: September 20, 2002
Creator: Scafetta, Nicola; Latora, Vito & Grigolini, Paolo
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.
Contributing Partner: UNT College of Arts and Sciences
Linear response at criticality

Linear response at criticality

Date: October 24, 2012
Creator: Svenkeson, Adam; Bologna, Mauro & Grigolini, Paolo
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.
Contributing Partner: UNT College of Arts and Sciences