New Special Issue: "Theoretical Developments and Applications of Entropy and Ordinal Patterns"

Dear Colleagues,

The concept of entropy (whether as a measure of disorder, uncertainty, randomness, or complexity) is ubiquitous in applied mathematics. This is due both to its exceptional mathematical properties, such as invariance under relevant transformations, and, especially, to its generality, which causes other similar quantifiers to be related to it. In this context, one of the scopes of this Special Issue is to develop new theoretical insights and practical applications with the concept of entropy, in any of its different materializations, as a leitmotif.

At the same, we are also interested in papers devoted to the study of ordinal patterns. Permutation entropy, an entropy of ordinal patterns originally introduced by Bandt and Pompe (2002), has led to a paradigm shift in nonlinear time-series analysis, because we do not have to estimate a generating partition for rigorously analysing a given time series by preserving the information for the underlying dynamics. Now, we can estimate metric and topological entropies much more easily. In addition, there are lots of emerging applications of ordinal patterns such as change-point detections, time-series predictions, detection of determinism, directional coupling, and surrogate data. Thus, this Special Issue aims as well at accelerating theoretical developments of ordinal patterns, and expanding their applications in science, engineering, medicine, and society. Both theoretical and/or application-oriented papers will be considered for the publication in this Special Issue of Entropy.

Prof. José María Amigó

Prof. Yoshito Hirata

Guest Editors

https://www.mdpi.com/journal/entropy/special_issues/Ordinal_Patterns