After an introductory section, this article will focus on four questions: How should the Kyoto
School be defined? What is meant by its central philosophical concept of “absolute …

The Ergodic Hierarchy (EH) is a central part of ergodic theory. It is a hierarchy of properties
that dynamical systems can possess. Its five levels are ergodicity, weak mixing, strong …

The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei
in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since …

The main purpose of this paper is to study structure theorems of Banach\(*\)-algebras
generated by semicircular elements. In particular, we are interested in the cases where …

We present an extension of the ergodic, mixing, and Bernoulli levels of the ergodic hierarchy
for statistical models on curved manifolds, making use of elements of the information …

In this work we show how the concept of majorization in continuous distributions can be
employed to characterize mixing, diffusive, and quantum dynamics along with the H …

By means of expressing volumes in phase space in terms of traces of quantum operators, a
relationship between the poles of the scattering matrix and the Lyapunov exponents in a non …

We present a calculus of the Kolmogorov–Sinai entropy for quantum systems having a
mixing quantum phase space. The method for this estimation is based on the following …

We study the distinguishability notion given by Wootters for states represented by probability
density functions. This presents the particularity that it can also be used for defining a …

We present an upper bound for the Kolmogorov-Sinai entropy of quantum systems having a
mixing quantum phase space. The method for this estimation is based on the following …