Normal basises and symbolical dynamics

Abstract

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 alphabet $A$. The combinatorial criteria of existence of interval exchange transformations that generate the word $W$ is obtained in full generality -- no IDOC condition assumed, case of orientation non-preserving also considered.

arXiv comment82 pages, in Russian, this is Ph.D. Thesis of Alexander Chernyatiev under supevision of Alexander V. Michalev and Alexei Kanel-Belov