The study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic blocks are ordinal patterns, that is, permutations defined by the order relations among points in the orbits of dynamical systems. Since its inception in 2002 the concept of permutation entropy has sparked a new branch of research in particular regarding the time series analysis of dynamical systems that capitalizes on the order structure of the state space. Indeed, on one hand ordinal patterns and periodic points are closely related, yet ordinal patterns are amenable to numerical methods, while periodicity is not. Another interesting feature is that since it can be shown that random (unconstrained) dynamics has no forbidden patterns with pr...
This is a review of group entropy and its application to permutation complexity. Specifically, we re...
By appealing to a long list of different nonlinear maps we review the characterization of ...
International audienceThis paper aims at introducing the Lempel-Ziv permutation complexity vs. permu...
This is a paper in the intersection of time series analysis and complexity theory that presents new ...
This is a paper in the intersection of time series analysis and complexity theory that presents new ...
We call permutation complexity the kind of dynamical complexity captured by any quantity or function...
Permutation entropy measures the complexity of a deterministic time series via a data symbolic quant...
Ordinal patterns serve as a robust symbolic transformation technique, enabling the unveiling of late...
Ordinal patterns serve as a robust symbolic transformation technique, enabling the unveiling of late...
Ordinal patterns classifying real vectors according to the order relations between their components ...
The coupling complexity index is an information measure introduced within the framework of ordinal s...
Entropy is a powerful tool for the analysis of time series, as it allows describing the probability ...
This is a paper in the intersection of time series analysis and complexity theory that presents new...
By appealing to a long list of different nonlinear maps we review the characterization of time serie...
Entropy is a powerful tool for the analysis of time series, as it allows describing the probability ...
This is a review of group entropy and its application to permutation complexity. Specifically, we re...
By appealing to a long list of different nonlinear maps we review the characterization of ...
International audienceThis paper aims at introducing the Lempel-Ziv permutation complexity vs. permu...
This is a paper in the intersection of time series analysis and complexity theory that presents new ...
This is a paper in the intersection of time series analysis and complexity theory that presents new ...
We call permutation complexity the kind of dynamical complexity captured by any quantity or function...
Permutation entropy measures the complexity of a deterministic time series via a data symbolic quant...
Ordinal patterns serve as a robust symbolic transformation technique, enabling the unveiling of late...
Ordinal patterns serve as a robust symbolic transformation technique, enabling the unveiling of late...
Ordinal patterns classifying real vectors according to the order relations between their components ...
The coupling complexity index is an information measure introduced within the framework of ordinal s...
Entropy is a powerful tool for the analysis of time series, as it allows describing the probability ...
This is a paper in the intersection of time series analysis and complexity theory that presents new...
By appealing to a long list of different nonlinear maps we review the characterization of time serie...
Entropy is a powerful tool for the analysis of time series, as it allows describing the probability ...
This is a review of group entropy and its application to permutation complexity. Specifically, we re...
By appealing to a long list of different nonlinear maps we review the characterization of ...
International audienceThis paper aims at introducing the Lempel-Ziv permutation complexity vs. permu...