The Fractal Tapestry of Life: III Multifractals Entail the Fractional Calculus (open access)

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

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: March 10, 2022
Creator: West, Bruce J.
Object Type: Article
System: The UNT Digital Library
Topology of Black Holes’ Horizons (open access)

Topology of Black Holes’ Horizons

Article exploring the topology of black holes.
Date: April 3, 2019
Creator: Tozzi, Arturo & Peters, James F.
Object Type: Article
System: The UNT Digital Library
Biophotons-and-emergence-of-quantum-coherencea-diffusion-entropy-analysisEntropy (open access)

Biophotons-and-emergence-of-quantum-coherencea-diffusion-entropy-analysisEntropy

This article studies the emission of photons from germinating seeds using an experimental technique designed to detect light of extremely small intensity. It analyzes the dark count signal without germinating seeds as well as the photon emission during the germination process.
Date: April 29, 2021
Creator: Benfatto, Maurizio; Pace, Elisabetta; Curceanu, Catalina; Scordo, Alessandro; Clozza, Alberto; Davoli, Ivan et al.
Object Type: Article
System: The UNT Digital Library
Mimicking the collective intelligence of human groups as an optimization tool for complex problems (open access)

Mimicking the collective intelligence of human groups as an optimization tool for complex problems

This article presents a novel optimization algorithm belonging to the class of swarm intelligence optimization methods.
Date: April 4, 2018
Creator: De Vincenzo, Ilario; Massari, Giovanni F.; Giannoccaro, Ilaria; Carbone, Giuseppe & Grigolini, Paolo
Object Type: Article
System: The UNT Digital Library
From self-organized to extended criticality (open access)

From self-organized to extended criticality

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
Object Type: Article
System: The UNT Digital Library
Probability flux as a method for detecting scaling (open access)

Probability flux as a method for detecting scaling

Paper on probability flux as a method for detecting scaling.
Date: April 5, 2010
Creator: Ignaccolo, Massimiliano; Grigolini, Paolo & West, Bruce J.
Object Type: Paper
System: The UNT Digital Library
Dynamic Approach to the Thermodynamics of Superdiffusion (open access)

Dynamic Approach to the Thermodynamics of Superdiffusion

This article discusses dynamic approach to the thermodynamics of superdiffusion.
Date: April 26, 1999
Creator: Buiatti, Marco, 1972-; Grigolini, Paolo & Montagnini, Anna
Object Type: Article
System: The UNT Digital Library
Fractional Brownian motion as a nonstationary process: An alternative paradigm for DNA sequences (open access)

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

Article discussing the fractional Brownian motion (FBM) as a nonstationary process and an alternative paradigm for DNA sequences.
Date: April 1998
Creator: Allegrini, Paolo; Buiatti, Marco, 1972-; Grigolini, Paolo & West, Bruce J.
Object Type: Article
System: The UNT Digital Library
Memory Beyond Memory in Heart Beating, a Sign of a Healthy Physiological Condition (open access)

Memory Beyond Memory in Heart Beating, a Sign of a Healthy Physiological Condition

In this article, the authors describe two types of memory and illustrate each using artificial and actual heartbeat data sets.
Date: April 11, 2002
Creator: Allegrini, Paolo; Grigolini, Paolo; Hamilton, P.; Palatella, Luigi & Raffaelli, G.
Object Type: Article
System: The UNT Digital Library
Renewal, Modulation, and Superstatistics in Times Series (open access)

Renewal, Modulation, and Superstatistics in Times Series

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
Object Type: Article
System: The UNT Digital Library