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Fractional calculus as a macroscopic manifestation of randomness (open access)

Fractional calculus as a macroscopic manifestation of randomness

Article discussing fractional calculus as a macroscopic manifestation of randomness.
Date: March 1999
Creator: Grigolini, Paolo; Rocco, A. (Andrea) & West, Bruce J.
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
Anomalous diffusion and ballistic peaks: A quantum perspective (open access)

Anomalous diffusion and ballistic peaks: A quantum perspective

Article discussing research on anomalous diffusion and ballistic peaks.
Date: June 1998
Creator: Stefancich, Marco; Allegrini, Paolo; Bonci, Luca; Grigolini, Paolo & West, Bruce J.
Object Type: Article
System: The UNT Digital Library
Non-Gaussian statistics of anomalous diffusion: The DNA sequences of prokaryotes (open access)

Non-Gaussian statistics of anomalous diffusion: The DNA sequences of prokaryotes

This article discusses a non-Gaussian indicator to measure the deviation from Gaussian statistics of a diffusion process generated by dichotomous fluctuations with infinite memory.
Date: September 1998
Creator: Allegrini, Paolo; Buiatti, Marco, 1972-; Grigolini, Paolo & West, Bruce J.
Object Type: Article
System: The UNT Digital Library
Diffusion Entropy and Waiting Time Statistics of Hard-X-Ray Solar Flares (open access)

Diffusion Entropy and Waiting Time Statistics of Hard-X-Ray Solar Flares

Article on diffusion entropy and waiting time statistics of hard-x-ray solar flares.
Date: March 25, 2002
Creator: Grigolini, Paolo; Leddon, Deborah & Scafetta, Nicola
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
Mega et al. Reply (open access)

Mega et al. Reply

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.
Object Type: Article
System: The UNT Digital Library
Scaling Breakdown: A Signature of Aging (open access)

Scaling Breakdown: A Signature of Aging

In this article, the authors prove that the Lévy walk is characterized by bilinear scaling. This effect mirrors the existence of a form of aging that does not require the adoption of nonstationary conditions.
Date: July 12, 2002
Creator: Allegrini, Paolo; Bellazzini, Jacopo; Bramanti, G.; Ignaccolo, Massimiliano; Grigolini, Paolo & Yang, J.
Object Type: Article
System: The UNT Digital Library
Linear Response to Perturbation of Nonexponential Renewal Processes (open access)

Linear Response to Perturbation of Nonexponential Renewal Processes

This article discusses the linear response to perturbation of nonexponential renewal processes.
Date: November 23, 2005
Creator: Barbi, Francesco; Bologna, Mauro & Grigolini, Paolo
Object Type: Article
System: The UNT Digital Library
Quantum Entanglement and Entropy (open access)

Quantum Entanglement and Entropy

This article discusses quantum entanglement and entropy.
Date: August 20, 2001
Creator: Giraldi, Filippo & Grigolini, Paolo
Object Type: Article
System: The UNT Digital Library
Absorption and Emission in the Non-Poissonian Case (open access)

Absorption and Emission in the Non-Poissonian Case

Article on absorption and emission in the Non-Poissonian Case.
Date: July 28, 2004
Creator: Aquino, Gerardo; Palatella, Luigi & Grigolini, Paolo
Object Type: Article
System: The UNT Digital Library
Solar Turbulence in Earth's Global and Regional Temperature Anomalies (open access)

Solar Turbulence in Earth's Global and Regional Temperature Anomalies

This article presents a study of the influence of solar activity on the earth's temperature. In particular, the authors focus on the repercussion of the fluctuations of the solar irradiance on the temperature of the Northern and Southern hemispheres as well as on land and ocean regions.
Date: February 26, 2004
Creator: Scafetta, Nicola; Grigolini, Paolo; Imholt, Timothy; Roberts, James A. & West, Bruce J.
Object Type: Article
System: The UNT Digital Library
Random Growth of Interfaces as a Subordinated Process (open access)

Random Growth of Interfaces as a Subordinated Process

Article discussing the random growth of interfaces as a subordinated process.
Date: July 30, 2004
Creator: Failla, Roberto; Grigolini, Paolo; Ignaccolo, Massimiliano & Schwettmann, Arne
Object Type: Article
System: The UNT Digital Library
Aging and Rejuvenation with Fractional Derivatives (open access)

Aging and Rejuvenation with Fractional Derivatives

This article discusses aging rejuvenation with fractional derivatives.
Date: September 10, 2004
Creator: Aquino, Gerardo; Bologna, Mauro; Grigolini, Paolo & West, Bruce J.
Object Type: Article
System: The UNT Digital Library
Power-Law Time Distribution of Large Earthquakes (open access)

Power-Law Time Distribution of Large Earthquakes

Article discussing power-law time distribution of large earthquakes and a study of the statistical properties of time distribution of seismicity in California by means of diffusion entropy.
Date: May 2003
Creator: Mega, Mirko S.; Allegrini, Paolo; Grigolini, Paolo; Latora, Vito; Palatella, Luigi; Rapisarda, Andrea et al.
Object Type: Article
System: The UNT Digital Library
Scaling Detection in Time Series: Diffusion Entropy Analysis (open access)

Scaling Detection in Time Series: Diffusion Entropy Analysis

Article discussing a method of statistical analysis based on the Shannon entropy of the diffusion process generated by the time series, called diffusion entropy analysis (DEA).
Date: September 25, 2002
Creator: Scafetta, Nicola & Grigolini, Paolo
Object Type: Article
System: The UNT Digital Library
Long- and Short-Time Analysis of Heartbeat Sequences: Correlation with Mortality Risk in Congestive Heart Failure Patients (open access)

Long- and Short-Time Analysis of Heartbeat Sequences: Correlation with Mortality Risk in Congestive Heart Failure Patients

Article discussing long- and short-time analysis of heartbeat sequences and the correlation with mortality risk in congestive heart failure patients.
Date: 2003
Creator: Allegrini, Paolo; Balocchi, Rita; Chillemi, Santi; Grigolini, Paolo; Hamilton, P.; Maestri, Roberto et al.
Object Type: Article
System: The UNT Digital Library
Vortex Dynamics in Evolutive Flows: A Weakly Chaotic Phenomenon (open access)

Vortex Dynamics in Evolutive Flows: A Weakly Chaotic Phenomenon

In this article, the authors make use of a wavelet method to extract, from experimental velocity signals obtained in an evolutive flow, the dominating velocity components generated by vortex dynamics.
Date: 2003
Creator: Bellazzini, Jacopo; Menconi, Giulia; Ignaccolo, Massimiliano; Buresti, Guido & Grigolini, Paolo
Object Type: Article
System: The UNT Digital Library
Generalized Master Equation Via Aging Continuous-Time Random Walks (open access)

Generalized Master Equation Via Aging Continuous-Time Random Walks

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
Object Type: Article
System: The UNT Digital Library
Lévy Scaling: The Diffusion Entropy Analysis Applied to DNA Sequences (open access)

Lévy Scaling: The Diffusion Entropy Analysis Applied to DNA Sequences

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
Object Type: Article
System: The UNT Digital Library
Non-Markovian Nonstationary Completely Positive Open-Quantum-System Dynamics (open access)

Non-Markovian Nonstationary Completely Positive Open-Quantum-System Dynamics

This article discusses non-Markovian nonstationary completely positive open-quantum-system dynamics.
Date: August 4, 2009
Creator: Budini, Adrián A. & Grigolini, Paolo
Object Type: Article
System: The UNT Digital Library
Experimental Quenching of Harmonic Stimuli: Universality of Linear Response Theory (open access)

Experimental Quenching of Harmonic Stimuli: Universality of Linear Response Theory

This article discusses experimental quenching of harmonic stimuli.
Date: July 15, 2009
Creator: Allegrini, Paolo; Bologna, Mauro; Fronzoni, Leone; Grigolini, Paolo & Silvestri, Ludovico
Object Type: Article
System: The UNT Digital Library
Event-Driven Power-Law Relaxation in Weak Turbulence (open access)

Event-Driven Power-Law Relaxation in Weak Turbulence

This article discusses event-driven power-law relaxation in weak turbulence.
Date: January 5, 2009
Creator: Silvestri, Ludovico; Fronzoni, Leone; Grigolini, Paolo & Allegrini, Paolo
Object Type: Article
System: The UNT Digital Library
Sun-Climate Complexity Linking (open access)

Sun-Climate Complexity Linking

Article discussing sun-climate complexity linking and how this property is a consequence of the phenomenon of information transfer.
Date: February 29, 2008
Creator: West, Bruce J. & Grigolini, Paolo
Object Type: Article
System: The UNT Digital Library