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  Partner: UNT College of Arts and Sciences
 Department: Center for Nonlinear Science
Dynamical model for DNA sequences
This article discusses a dynamical model for DNA sequences based on the assumption that the statistical properties of DNA paths are determined by the joint action of two processes, one deterministic with long-range correlations and the other random and δ-function correlated. digital.library.unt.edu/ark:/67531/metadc139499/
Chaos and thermal conductivity
This article discusses chaos and thermal conductivity. digital.library.unt.edu/ark:/67531/metadc139502/
Noise-induced transition from anomalous to ordinary diffusion: The crossover time as a function of noise intensity
This article discusses noise-induced transition from anomalous to ordinary diffusion and the crossover time as a function of noise intensity. digital.library.unt.edu/ark:/67531/metadc139501/
Anomalous diffusion and environment-induced quantum decoherence
This article discusses anomalous diffusion and environment-induced quantum decoherence. digital.library.unt.edu/ark:/67531/metadc139477/
Linear Response of Hamiltonian Chaotic Systems as a Function of the Number of Degrees of Freedom
This article discusses the linear response of Hamiltonian chaotic systems as a function of the number of degrees of freedom. digital.library.unt.edu/ark:/67531/metadc139479/
Dynamical approach to Lévy processes
This article discusses a dynamical approach to Lévy processes, which makes it possible to derive all statistical properties of the diffusion process from the correlation function of the dichotomous fluctuating variable Φy(t). digital.library.unt.edu/ark:/67531/metadc139498/
Site correlation, anomalous diffusion, and enhancement of the localization length
This article discusses site correlation, anomalous diffusion, and enhancement of localization length. digital.library.unt.edu/ark:/67531/metadc139487/
Bianucci, Mannella, and Grigolini Reply
This article is a reply to a comment by Massimo Falcioni and Angelo Vulpiani. In a previous letter, the authors have discussed the linear response theory (LRT) and shown that the breakdown of this theory occurring at intermediate times, observed in an earlier paper [2] as well as in [1], disappears upon an increase of the number of degrees of freedom. In a comment to [1] Falcioni and Vulpiani [3] claim that this breakdown is rather a consequence of the lack of mixing: according to them, regardless of the number of degrees of freedom, mixing is the key ingredient behind the LRT. digital.library.unt.edu/ark:/67531/metadc77166/
Fractional Brownian motion as a nonstationary process: An alternative paradigm for DNA sequences
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. digital.library.unt.edu/ark:/67531/metadc75416/
Anomalous diffusion and ballistic peaks: A quantum perspective
This article discusses 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/
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/
The Markov approximation revisited: inconsistency of the standard quantum Brownian motion model
Article discussing the Markov approximation. Abstract: We revisit the Markov approximation necessary to derive ordinary Brownian motion from a model widely adopted in literature for this specific purpose. We show that this leads to internal inconsistencies, thereby implying that further search for a more satisfactory model is required. digital.library.unt.edu/ark:/67531/metadc139465/
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/
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/
Fluctuation-dissipation process without a time scale
This article discusses fluctuation-dissipation process without a time scale. digital.library.unt.edu/ark:/67531/metadc77161/
Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions
This article discusses anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation. digital.library.unt.edu/ark:/67531/metadc77162/
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/
Canonical and noncanonical equilibrium distribution
This article discusses canonical and noncanonical equilibrium distribution. digital.library.unt.edu/ark:/67531/metadc77164/
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/
Quantum Entanglement and Entropy
This article discusses quantum entanglement and entropy. digital.library.unt.edu/ark:/67531/metadc67627/
Diffusion Entropy and Waiting Time Statistics of Hard-X-Ray Solar Flares
This article discusses diffusion entropy and waiting time statistics of hard-x-ray solar flares. digital.library.unt.edu/ark:/67531/metadc67629/
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/
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/
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. digital.library.unt.edu/ark:/67531/metadc174688/
Lévy Scaling: The Diffusion Entropy Analysis Applied to DNA Sequences
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. digital.library.unt.edu/ark:/67531/metadc67631/
Scaling Detection in Time Series: Diffusion Entropy Analysis
This article discusses scaling detection in time series. digital.library.unt.edu/ark:/67531/metadc67632/
Short- and Long-Term Statistical Properties of Heartbeat Time-Series in Healthy and Pathological Subjects
Paper discussing short- and long-term statistical properties of heartbeat time-series in healthy and pathological subjects. digital.library.unt.edu/ark:/67531/metadc174687/
Conflict between trajectories and density description: the statistical source of disagreement
Paper discussing the statistical source of disagreement between trajectories and density description. digital.library.unt.edu/ark:/67531/metadc174689/
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. digital.library.unt.edu/ark:/67531/metadc174698/
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/
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. digital.library.unt.edu/ark:/67531/metadc174697/
Long- and Short-Time Analysis of Heartbeat Sequences: Correlation with Mortality Risk in Congestive Heart Failure Patients
This paper discusses 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/
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/
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. digital.library.unt.edu/ark:/67531/metadc139462/
Power-Law Time Distribution of Large Earthquakes
In this article, the authors study the statistical properties of time distribution of seismicity in California by means of a new method of analysis, the diffusion entropy. The authors find that the distribution of time intervals between a large earthquake (the main shock of a given seismic sequence) and the next one does not obey Poisson statistics, as assumed by the current models. The authors prove that this distribution is an inverse power law with an exponent μ = 2.06 ± 0.01. The authors propose the long-range model, reproducing the main properties of the diffusion entropy and describing the seismic triggering mechanisms induced by large earthquakes. digital.library.unt.edu/ark:/67531/metadc67639/
Decoherence, wave function collapses and non-ordinary statistical mechanics
Article discussing decoherence, wave function collapses, and non-ordinary statistical mechanics. digital.library.unt.edu/ark:/67531/metadc174684/
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. digital.library.unt.edu/ark:/67531/metadc174693/
Detection of invisible and crucial events: from seismic fluctuations to the war against terrorism
Paper discussing the detection of invisible and crucial events. digital.library.unt.edu/ark:/67531/metadc174695/
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. digital.library.unt.edu/ark:/67531/metadc174696/
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. Abstract: With the help of the Diffusion Entropy technique the authors show the non-Poisson statistics of the distances between consecutive Omori's swarms of earthquakes. We give an analytical proof of the numerical results of an earlier paper [Mega et al., Phys. Rev. Lett. 90 (2003) 188501]. digital.library.unt.edu/ark:/67531/metadc132976/
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/
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/
Stromatolites: why do we care?
Article discussing stromatolites. The authors apply the method of Diffusion Entropy (DE) to the study of stromatolites by means of a two-dimensional procedure that makes it possible for us to compare the DE analysis to the results of a compression method. digital.library.unt.edu/ark:/67531/metadc139469/
Towards the timely detection of toxicants
Article discussing the timely detection of toxicants. digital.library.unt.edu/ark:/67531/metadc139468/
Absorption and Emission in the Non-Poissonian Case
This article discusses absorption and emission in the Non-Poissonian Case. digital.library.unt.edu/ark:/67531/metadc67641/
Random Growth of Interfaces as a Subordinated Process
In this article, the authors study the random growth of surfaces from within the perspective of a single column, namely, the fluctuation of the column height around the mean value, y(τ)=h(τ)-‹h(τ)›, which is depicted as being subordinated to a standard fluctuation-dissipation process with friction y. digital.library.unt.edu/ark:/67531/metadc67637/
Aging and Rejuvenation with Fractional Derivatives
This article discusses aging rejuvenation with fractional derivatives. digital.library.unt.edu/ark:/67531/metadc67638/
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/
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