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  Partner: UNT College of Arts and Sciences
 Department: Center for Nonlinear Science
Fractional Brownian motion as a nonstationary process: An alternative paradigm for DNA sequences

Fractional Brownian motion as a nonstationary process: An alternative paradigm for DNA sequences

Date: April 1998
Creator: Allegrini, Paolo; Buiatti, Marco, 1972-; Grigolini, Paolo & West, Bruce J.
Description: This article discusses fractional Brownian motion as a nonstationary process. The model adopted is compatible with the known biological and physical constraints, namely, it is shown to be consistent with the information of current biological literature on folding as well as with the statistical analyses of DNA sequences.
Contributing Partner: UNT College of Arts and Sciences
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: This article offers discussions from power law intermittence to macroscopic coherent regime. The authors address 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: This article discusses 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: This article discusses 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