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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.
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.
Renewal and memory origin of anomalous diffusion: A discussion of their joint action
Article on the renewal and memory origin of anomalous diffusion and a discussion of their joint action.
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.
Anomalous diffusion and environment-induced quantum decoherence
Article discussing research on anomalous diffusion and environment-induced quantum decoherence.
Non-Markovian Nonstationary Completely Positive Open-Quantum-System Dynamics
This article discusses non-Markovian nonstationary completely positive open-quantum-system dynamics.
Dynamic Approach to the Thermodynamics of Superdiffusion
This article discusses dynamic approach to the thermodynamics of superdiffusion.
Renewal and memory properties in the random growth of surfaces
Article discussing the renewal and memory properties in the random growth of surfaces.
Dynamical Origin of Memory and Renewal
This article discusses a dynamical origin of memory and renewal.
Chaos and thermal conductivity
Article discussing research on chaos and thermal conductivity.
Random Growth of Interfaces as a Subordinated Process
Article discussing the random growth of interfaces as a subordinated process.
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.
Fast-computational approach to the evaluation of slow-motion EPR spectra in terms of a generalized Langevin equation
Article discussing a fast-computational approach to the evaluation of slow-motion EPR spectra in terms of a generalized Langevin equation.
Quantum Entanglement and Entropy
This article discusses quantum entanglement and entropy.
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.
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.
Fractional calculus as a macroscopic manifestation of randomness
Article discussing fractional calculus as a macroscopic manifestation of randomness.
Neural Dynamics: Criticality, Cooperation, Avalanches and Entrainment between Complex Networks
Book chapter discussing neural dynamics and the criticality, cooperation, avalanches and entrainment between complex networks.
Scaling in Non-stationary Time Series 2: Teen Birth Phenomenon
This paper is devoted to the problem of statistical mechanics raised by the analysis of an issue of sociological interest: the teen birth phenomenon.
Scaling in Non-Stationary time series I
Paper discussing scaling in non-stationary time series.
Towards the timely detection of toxicants
Article discussing the problem of enhancing the sensitivity of biosensors to the influence of toxicants, with an entropy method of analysis, denoted as CASSANDRA, for the specific purpose of studying non-stationary time series.
Probability flux as a method for detecting scaling
Paper on probability flux as a method for detecting scaling.
The Dynamics of EEG Entropy
This article discusses the dynamics of EEG entropy.
Dynamics of EEG Entropy: beyond signal plus noise
Paper discussing the dynamics of EEG entropy.
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.
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.
From self-organized to extended criticality
Article discussing the criticality of transition processes in neurophysiology.
Power spectra for both interrupted and perennial aging processes
Article on power spectra for both interrupted and perennial aging processes.
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.
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.
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.
Symmetry-induced intermittency in a stochastic reflexive model
Article on symmetry-induced intermittency in a stochastic reflexive model.
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.
Collective behavior and evolutionary games - An introduction
This article is an introduction to a special issue in Chaos, Solitons & Fractals with the goal of attracting submissions that identify unifying principles that describe the essential aspects of collective behavior, and which thus allow for a better interpretation and foster the understanding of the complexity arising in such systems.
Bold-Independent Computational Entropy Assesses Functional Donut-Like Structures in Brain fMRI Images
This article introduces a novel technique of fMRI images analysis, called computational proximity method, i.e., nucleus clustering in Voronoï tessellations.
Effect of noise and detector sensitivity on a dynamical process: Inverse power law and Mittag-Leffler interevent time survival probabilities
Article on the effect of noise and detector sensitivity on a dynamical process and the inverse power law and Mittag-Leffler interevent time survival probabilities.
Complexity and the Fractional Calculus
Article discussing a study on complexity and the fractional calculus.
The Markov approximation revisited: inconsistency of the standard quantum Brownian motion model
Article discussing the Markov approximation and inconsistency of the standard quantum Brownian motion model.
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).
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.
Statistical analysis of air and sea temperature anomalies
Paper discussing the statistical analysis of air and sea temperature anomalies.
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.
Towards a Neuronal Gauge Theory
This article proposes that the brain (and other self-organised biological systems) can be characterised via the mathematical apparatus of a gauge theory.
Event-Driven Power-Law Relaxation in Weak Turbulence
This article discusses event-driven power-law relaxation in weak turbulence.
Anomalous diffusion and ballistic peaks: A quantum perspective
Article discussing research on anomalous diffusion and ballistic peaks.
Linear response at criticality
In this article, the authors study a set of cooperatively interacting units at criticality, and prove with analytical and numerical arguments that they generate the same renewal non-Poisson intermittency as that produced by blinking quantum dots.
A Symmetric Approach Elucidates Multisensory Information Integration
This article shows that the Borsuk-Ulam theorem applies also to multisensory integration: two environmental stimuli from different sensory modalities display similar features when mapped into cortical neurons.
Symmetries, Information and Monster Groups before and after the Big Bang
This article discusses how the energetic loss caused by projection from higher to lower dimensions and by the Monster group’s non-abelian features is correlated with the present-day asymmetry in the thermodynamic arrow.
Cooperation-induced topological complexity: a promising road to fault tolerance and Hebbian learning
This article discusses cooperation-induced topological complexity and the emergence of intelligence.
Complexity and Synchronization
This article discusses complexity and synchronization in decision making and information transmission.
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