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 …

We present the asymptotic distribution of the Rényi and Tsallis/Havrda–Charvát entropies
and the Fisher information measure of ordinal patterns embedding their serial correlation …

Simple Summary We obtain expressions for the asymptotic distributions of the Rényi and
Tsallis of order q entropies, and Fisher information when computed on the maximum …

Ordinal patterns serve as a robust symbolic transformation technique, enabling the unveiling
of latent dynamics within time series data. This methodology involves constructing …

The ultimate purpose of the statistical analysis of ordinal patterns is to characterize the
distribution of the features they induce. In particular, knowing the joint distribution of the pair …

Most machines are equipped with devices that monitor their operation. Air conditioners, in
particular, are routinely monitored through various measurements. A desirable outcome of …

Most machines have devices that monitor their operation. In particular, air conditioners are
routinely monitored through several measurements. A desirable outcome of such monitoring …

In addition to their importance in statistical thermodynamics, probabilistic entropy
measurements are crucial for understanding and analyzing complex systems, with diverse …

I am delighted to submit my dissertation for accreditation to supervise research in the field of
signal processing. This dissertation provides an overview of the research I have conducted …