Contrasting stochasticity with chaos in a permutation Lempel-Ziv complexity -- Shannon entropy plane

DOI10.1016/j.physa.2020.124640OpenAlexW3022027901MaRDI QIDQ2139332

Diego M. Mateos, Steeve Zozor, Felipe Olivares

Publication date: 17 May 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2020.124640

zbMATH Keywords

entropycomplexitychaosnoisesFBMFGN

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (1)

A new parameter-free entropy based on fragment oscillation and its application in fault diagnosis

Uses Software

• longmemo

Cites Work

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• A Mathematical Theory of Communication
• Permutation entropy of fractional Brownian motion and fractional Gaussian noise
• A class of Rényi information estimators for multidimensional densities
• Permutation complexity in dynamical systems. Ordinal patterns, permutation entropy and all that
• Determining Lyapunov exponents from a time series
• Innovations and Wold decompositions of stable sequences
• Chaos theory in geophysics: past, present and future
• Analysis of signals in the Fisher-Shannon information plane
• On the relationship between the Hurst exponent, the ratio of the mean square successive difference to the variance, and the number of turning points
• Scaling behaviors in differently developed markets
• The wavelet-based synthesis for fractional Brownian motion proposed by F. Sellan and Y. Meyer: Remarks and fast implementation
• Remarks on Some Nonparametric Estimates of a Density Function
• Some asymptotic properties of the entropy of a stationary ergodic data source with applications to data compression
• Tests for Hurst effect
• Fractional differencing
• On the Complexity of Finite Sequences
• A universal algorithm for sequential data compression
• Compression of individual sequences via variable-rate coding
• Entropy estimation of symbol sequences
• Fundamentals of Thermodynamics and Applications
• Gibbs vs Boltzmann Entropies
• Long Range Dependence
• Elements of Information Theory
• Fractional Brownian Motions, Fractional Noises and Applications
• On Estimation of a Probability Density Function and Mode

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