The degree of dynamical randomness of different time processes is characterized in terms of
the (ε, τ)-entropy per unit time. The (ε, τ)-entropy is the amount of information generated per …

Abstract Information theory (IT) addresses the analysis of communication systems and has
been widely applied in molecular biology. In particular, alignment-free sequence analysis …

Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4.
Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic …

We study how the Shannon entropy of sequences produced by an information source
converges to the source's entropy rate. We synthesize several phenomenological …

We discuss algorithms for estimating the Shannon entropy h of finite symbol sequences with
long range correlations. In particular, we consider algorithms which estimate h from the code …

Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet
research within this broad field is becoming increasingly mathematical. Written in a step-by …

Die Erforschung komplexer Strukturen ist gegenwärtig eines der interessantesten
wissenschaftlichen Themen. Dieses Buch behandelt Möglichkeiten der Beschreibung und …

The paper is devoted to relations between correlation functions and mutual information. It is
shown that, in sequences over an alphabet of λ symbols, statistical dependences are …

Symbolic sequences generated by nonlinear dynamics, a German text and a piece of
classical music are investigated. The higher order block entropies and the mean uncertainty …

We elaborate in some detail on a new phase space approach to complexity, due to Y.-C.
Zhang. We show in particular that the connection between maximal complexity and power …