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  Partner: UNT College of Arts and Sciences
 Department: Center for Nonlinear Science
Memory Effects in Fractional Brownian Motion with Hurst Exponent H<1/3
This article discusses a study on the regression to the origin of a walker driven by dynamically generated fractional Brownian motion. digital.library.unt.edu/ark:/67531/metadc40405/
Temporal Complexity of the Order Parameter at the Phase Transition
Article discussing the temporal complexity of the order parameter at the phase transition. digital.library.unt.edu/ark:/67531/metadc40402/
Correlation Function and Generalized Master Equation of Arbitrary Age
Article discussing research on correlation function and generalized master equation of arbitrary age. digital.library.unt.edu/ark:/67531/metadc40401/
Beyond the Death of Linear Response: 1/f Optimal Information Transport
Article discussing research on linear response and 1/f optimal information transport. digital.library.unt.edu/ark:/67531/metadc40407/
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. digital.library.unt.edu/ark:/67531/metadc40400/
Dynamics of Electroencephalogram Entropy and Pitfalls of Scaling Detection
This article discusses dynamics of electroencephalogram entropy and pitfalls of scaling detection. Herein the authors study the time evolution of diffusion entropy to elucidate the scaling of EGG time series. digital.library.unt.edu/ark:/67531/metadc40408/
Transmission of Information Between Complex Systems: 1/ f resonance
In this article, the authors study the transport of information between two complex systems with similar properties. digital.library.unt.edu/ark:/67531/metadc40404/
Spontaneous Brain Activity as a Source of Ideal 1/f Noise
In this article, the authors study the electroencephalogram (EEG) of 30 closed-eye subjects with a technique of analysis recently proposed to detect punctual events signaling rapid transitions between different metastable states. digital.library.unt.edu/ark:/67531/metadc40409/
Publisher's Note: Beyond the Death of Linear Response: 1/f Optimal Information Transport [Phys. Rev. Lett. 105,040601 (2010)]
This is a Publisher's Note for the article 'Beyond the Death of Linear Response: 1/f Optimal Information Transport' [Phys. Rev. Lett. 105, 040601 (2010)]. digital.library.unt.edu/ark:/67531/metadc40406/
Non-Poisson Dichotomous Noise: Higher-Order Correlation Functions and Aging
This article discusses non-Poisson dichotomous noise and higher-order correlation functions and aging. digital.library.unt.edu/ark:/67531/metadc40403/
Fluctuation-Dissipation Theorem for Event-Dominated Processes
Article discussing the fluctuation-dissipation theorem for event-dominated processes. digital.library.unt.edu/ark:/67531/metadc40397/
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. digital.library.unt.edu/ark:/67531/metadc40398/
Experimental Quenching of Harmonic Stimuli: Universality of Linear Response Theory
This article discusses experimental quenching of harmonic stimuli. digital.library.unt.edu/ark:/67531/metadc40394/
Dynamical Origin of Memory and Renewal
This article discusses a dynamical origin of memory and renewal. digital.library.unt.edu/ark:/67531/metadc40399/
Sun-Climate Complexity Linking
Article discussing sun-climate complexity linking and how this property is a consequence of the phenomenon of information transfer. digital.library.unt.edu/ark:/67531/metadc40396/
Non-Markovian Nonstationary Completely Positive Open-Quantum-System Dynamics
This article discusses non-Markovian nonstationary completely positive open-quantum-system dynamics. digital.library.unt.edu/ark:/67531/metadc40393/
Complexity and Synchronization
This article discusses complexity and synchronization in decision making and information transmission. digital.library.unt.edu/ark:/67531/metadc40410/
Event-Driven Power-Law Relaxation in Weak Turbulence
This article discusses event-driven power-law relaxation in weak turbulence. digital.library.unt.edu/ark:/67531/metadc40395/
Criticality and Transmission of Information in a Swarm of Cooperative Units
Article discussing the criticality and transmission of information in a swarm of cooperative units. digital.library.unt.edu/ark:/67531/metadc40392/
Quantum Entanglement and Entropy
This article discusses quantum entanglement and entropy. digital.library.unt.edu/ark:/67531/metadc67627/
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. digital.library.unt.edu/ark:/67531/metadc67628/
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. digital.library.unt.edu/ark:/67531/metadc67629/
Linear Response to Perturbation of Nonexponential Renewal Processes
This article discusses the linear response to perturbation of nonexponential renewal processes. digital.library.unt.edu/ark:/67531/metadc67626/
Absorption and Emission in the Non-Poissonian Case
Article on absorption and emission in the Non-Poissonian Case. digital.library.unt.edu/ark:/67531/metadc67641/
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. digital.library.unt.edu/ark:/67531/metadc67640/
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). digital.library.unt.edu/ark:/67531/metadc67635/
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). digital.library.unt.edu/ark:/67531/metadc67632/
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. digital.library.unt.edu/ark:/67531/metadc67631/
Random Growth of Interfaces as a Subordinated Process
Article discussing the random growth of interfaces as a subordinated process. digital.library.unt.edu/ark:/67531/metadc67637/
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. digital.library.unt.edu/ark:/67531/metadc67630/
Aging and Rejuvenation with Fractional Derivatives
This article discusses aging rejuvenation with fractional derivatives. digital.library.unt.edu/ark:/67531/metadc67638/
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. digital.library.unt.edu/ark:/67531/metadc67634/
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. digital.library.unt.edu/ark:/67531/metadc67639/
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. digital.library.unt.edu/ark:/67531/metadc67636/
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. digital.library.unt.edu/ark:/67531/metadc67633/
Anomalous diffusion and ballistic peaks: A quantum perspective
Article discussing research on anomalous diffusion and ballistic peaks. digital.library.unt.edu/ark:/67531/metadc75417/
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. digital.library.unt.edu/ark:/67531/metadc75418/
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. digital.library.unt.edu/ark:/67531/metadc75416/
Fractional calculus as a macroscopic manifestation of randomness
Article discussing fractional calculus as a macroscopic manifestation of randomness. digital.library.unt.edu/ark:/67531/metadc77121/
Tunneling rate fluctuations induced by nonlinear resonances: A quantitative treatment based on semiclassical arguments
This article discusses tunneling rate fluctuations induced by nonlinear resonances. The authors investigate the tunneling process between two symmetric stable islands of a forced pendulum Hamiltonian in the weak chaos regime. digital.library.unt.edu/ark:/67531/metadc77120/
Trajectory versus probability density entropy
In this article, the authors show that the widely accepted conviction that a connection can be established between the probability density entropy and the Kolmogorov-Sinai (KS) entropy is questionable. digital.library.unt.edu/ark:/67531/metadc77165/
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. digital.library.unt.edu/ark:/67531/metadc77162/
Fluctuation-dissipation process without a time scale
Article discussing the fluctuation-dissipation process without a time scale. digital.library.unt.edu/ark:/67531/metadc77161/
Dynamic Approach to the Thermodynamics of Superdiffusion
This article discusses dynamic approach to the thermodynamics of superdiffusion. digital.library.unt.edu/ark:/67531/metadc77167/
Lévy diffusion as an effect of sporadic randomness
This article discusses Lévy diffusion as an effect of sporadic randomness. digital.library.unt.edu/ark:/67531/metadc77160/
Canonical and noncanonical equilibrium distribution
Article discussing research on canonical and noncanonical equilibrium distribution. digital.library.unt.edu/ark:/67531/metadc77164/
Bianucci, Mannella, and Grigolini Reply
Article replying to a comment by Massimo Falcioni and Angelo Vulpiani. The authors discuss research on the linear response theory (LRT). digital.library.unt.edu/ark:/67531/metadc77166/
Towards the thermodynamics of localization processes
In this article, the authors study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization. digital.library.unt.edu/ark:/67531/metadc77163/
A fluctuating environment as a source of periodic modulation
Article discussing a fluctuating environment as a source of periodic modulation. digital.library.unt.edu/ark:/67531/metadc132981/
Probability flux as a method for detecting scaling
Paper on probability flux as a method for detecting scaling. digital.library.unt.edu/ark:/67531/metadc132978/
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