A. Chernyatiev

activity

20142016

collaborators

3 papers

math.DS2016

Describtion of normal basis of boundary algebras and factor languages of small growth

A. Ya. Belov, A. L. Chernyatiev

Let $A$ be an algebra with fixed set of generators $a_{1}, \dots, a_{s}$ . $V_{A} (n)$ be dimension of the space, generated by worlds of length $\leq n$ over $a_{i}$ , $T_{A} (n) = V_{A} (n) - V_{A} (n - 1)$ .…

math.DS2015

Normal basises and symbolical dynamics

Alexander Chernyatiev

The thesis is devoted to relations between algebra and symbolic dynamics. Various generalisations of sturmian sequences are discoursed. Let $W$ be an infinite word over a finite al…

math.DS2014

Normal bases of algebras with low growth

Alexei Belov, Alexandr Chernyatiev

This paper investigates the normal bases of algebras with low growth.