Permutation group entropy: a new route to complexity for real-valued processes

Fuente: arXiv
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Autores principales: Amigó, José M., Dale, Roberto, Tempesta, Piergiulio
Formato: Preprint
Publicado: 2024
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author Amigó, José M.
Dale, Roberto
Tempesta, Piergiulio
author_facet Amigó, José M.
Dale, Roberto
Tempesta, Piergiulio
contents This is a review of group entropy and its application to permutation complexity. Specifically we revisit a new approach to the notion of complexity in time serie analysis, based on both permutation entropy and group entropy. As a result, the permutation entropy rate can be extended from deterministic dynamics to random processes. More generally, our approach provides a unified framework to discuss chaotic and random behaviours.
format Preprint
id arxiv_https___arxiv_org_abs_2401_11340
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Permutation group entropy: a new route to complexity for real-valued processes
Amigó, José M.
Dale, Roberto
Tempesta, Piergiulio
Mathematical Physics
Chaotic Dynamics
94A15
This is a review of group entropy and its application to permutation complexity. Specifically we revisit a new approach to the notion of complexity in time serie analysis, based on both permutation entropy and group entropy. As a result, the permutation entropy rate can be extended from deterministic dynamics to random processes. More generally, our approach provides a unified framework to discuss chaotic and random behaviours.
title Permutation group entropy: a new route to complexity for real-valued processes
topic Mathematical Physics
Chaotic Dynamics
94A15
url https://arxiv.org/abs/2401.11340