Since Bandt and Pompe's seminal work, permutation entropy has been used in several
applications and is now an essential tool for time series analysis. Beyond becoming a …

In 2013, Karsten Keller, Jürgen Kurths, and one of us (JMA) guest edited an issue of the
European Physical Journal Special Topics, entitled Recent Progress in Symbolic Dynamics …

In this paper, we present a methodology based on generative adversarial network
architecture to generate synthetic data sets with the intention of augmenting continuous …

Green bonds are financial assets similar to classic debt securities used to finance
sustainable investments. Given this, they are a long-term investment alternative that …

Abstract The Bandt and Pompe method (BPM) has been successfully applied to estimate the
information theory quantifiers. The most significant limitation of the BPM is that this approach …

Scale-free brain activity, linked with learning, the integration of different time scales, and the
formation of mental models, is correlated with a metastable cognitive basis. The spectral …

The occurrence of missing values in time series is a common phenomenon attributed to
equipment malfunction during data acquisition and transmission errors. However, most …

The main motivation of this paper is to introduce the ordinal diversity, a symbolic tool able to
quantify the degree of diversity of multiple time series. Analytical, numerical, and …

The diagnosis of railway system faults is significant for its comfort, efficiency, and safety. The
rail surface wear is the key impact factor when considering the health conditions of rails. This …

Detailed simulation of optical photon transport and detection in radiation detectors is often
used for crystal-based gamma detector optimization. However, the time and memory burden …