2 papers
math.DS2015
Categories of measurement functors. Entropy of discrete amenable group representations on abstract categories. Entropy as a bifunctor into
Nikita Moriakov
The main purpose of this article is to provide a common generalization of the notions of a topological and Kolmogorov-Sinai entropy for arbitrary representations of discrete amenab…
math.DS2015
On systems with quasi-discrete spectrum
Markus Haase, Nikita Moriakov
In this paper we re-examine the theory of systems with quasi-discrete spectrum initiated in the 1960's by Abramov, Hahn, and Parry. In the first part, we give a simpler proof of th…