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  Partner: UNT College of Arts and Sciences
 Department: Center for Nonlinear Science
 Decade: 2000-2009
Absorption and Emission in the Non-Poissonian Case
Article on absorption and emission in the Non-Poissonian Case.
Aging and Rejuvenation with Fractional Derivatives
This article discusses aging rejuvenation with fractional derivatives.
Aging and Rejuvenation with Fractional Derivatives
Article on aging and rejuvenation with fractional derivatives.
Aging in financial market
Article discussing aging in the financial market.
Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions
Article discussing research on anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation.
Brain, Music, and Non-Poisson Renewal Processes
Article discussing research that shows both music composition and brain function, as revealed by the electroencephalogram (EEG) analysis, are renewal non-Poisson processes living in the nonergodic dominion.
Canonical and noncanonical equilibrium distribution
Article discussing research on canonical and noncanonical equilibrium distribution.
Cognitive Scale-Free Networks as a Model for Intermittency in Human Natural Language
Paper discussing cognitive scale-free networks as a model for intermittency in human natural language.
Complexity and Synchronization
This article discusses complexity and synchronization in decision making and information transmission.
Compression and Diffusion: A Joint Approach to Detect Complexity
Article discussing a joint approach to detect complexity by combining the Compression Algorithm Sensitive To Regularity (CASToRe) and Complex Analysis of Sequences via Scaling AND Randomness Assessment (CASSANDRA) procedures.
Conflict between trajectories and density description: the statistical source of disagreement
Paper discussing the statistical source of disagreement between trajectories and density description.
Correlation Function and Generalized Master Equation of Arbitrary Age
Article discussing research on correlation function and generalized master equation of arbitrary age.
Decoherence, wave function collapses and non-ordinary statistical mechanics
Article discussing decoherence, wave function collapses, and non-ordinary statistical mechanics.
Detection of invisible and crucial events: from seismic fluctuations to the war against terrorism
Paper discussing the detection of invisible and crucial events.
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.
Dynamical Origin of Memory and Renewal
This article discusses a dynamical origin of memory and renewal.
The Dynamics of EEG Entropy
This article discusses the dynamics of EEG entropy.
Event-Driven Power-Law Relaxation in Weak Turbulence
This article discusses event-driven power-law relaxation in weak turbulence.
Experimental Quenching of Harmonic Stimuli: Universality of Linear Response Theory
This article discusses experimental quenching of harmonic stimuli.
A fluctuating environment as a source of periodic modulation
Article discussing a fluctuating environment as a source of periodic modulation.
Fluctuation-dissipation process without a time scale
Article discussing the fluctuation-dissipation process without a time scale.
Fluctuation-Dissipation Theorem for Event-Dominated Processes
Article discussing the fluctuation-dissipation theorem for event-dominated processes.
Fluorescence intermittency in blinking quantum dots: renewal or slow modulation?
Article discussing fluorescence intermittency in blinking quantum dots.
From Knowledge, Knowability and the Search for Objective Randomness to a New Vision of Complexity
Paper discussing knowledge, knowability, and the search for objective randomness to a new vision of complexity.
From power law intermittence to macroscopic coherent regime
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.
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).
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
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.
Intermittency and scale-free networks: a dynamical model for human language complexity
Article discussing intermittency, scale-free networks, and a dynamical model for human language complexity.
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.
Linear Response to Perturbation of Nonexponential Renewal Processes
This article discusses the linear response to perturbation of nonexponential renewal processes.
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.
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.
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.
Non-Markovian Nonstationary Completely Positive Open-Quantum-System Dynamics
This article discusses non-Markovian nonstationary completely positive open-quantum-system dynamics.
Non-Poisson Dichotomous Noise: Higher-Order Correlation Functions and Aging
This article discusses non-Poisson dichotomous noise and higher-order correlation functions and aging.
Non-Poisson distribution of the time distances between two consecutive clusters of earthquakes
Article discussing non-Poisson distribution of the time distances between two consecutive clusters of earthquakes.
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.
Power spectra for both interrupted and perennial aging processes
Article on power spectra for both interrupted and perennial aging processes.
Quantum Entanglement and Entropy
This article discusses quantum entanglement and entropy.
Random Growth of Interfaces as a Subordinated Process
Article discussing the random growth of interfaces as a subordinated process.
Real event detection and the treatment of congestive heart failure: an efficient technique to help cardiologists to make crucial decisions
Paper discussing the treatment of congestive heart failure. Abstract: Using a method of entropic analysis of time series we establish the correlation between heartbeat long-range memory and mortality risk in patients with congestive heart failure.
Renewal aging and linear response
Paper discussing the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion.
Renewal Aging as Emerging Property of Phase Synchronization
Paper discussing renewal aging as emerging property of phase synchronization.
Renewal and memory properties in the random growth of surfaces
Article discussing the renewal and memory properties in the random growth of surfaces.
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.
Reply to the Comment "Intercluster correlation in Seismicity" by Helmstetter and Sornette
This paper is a reply to the comment by Helmstetter and Sornette titled "Intercluster correlation in Seismicity" which addresses an important point in a paper written by the authors that needs to be clarified.
Response of Complex Systems to Complex Perturbations: the Complexity Matching Effect
Paper discussing the complexity matching effect.
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.
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).
Scaling in Non-Stationary time series I
Paper discussing scaling in non-stationary time series.