Normal basises and symbolical dynamics
Dynamical Systems
2015-12-22 v1
Abstract
The thesis is devoted to relations between algebra and symbolic dynamics. Various generalisations of sturmian sequences are discoursed. Let be an infinite word over a finite alphabet . The combinatorial criteria of existence of interval exchange transformations that generate the word is obtained in full generality -- no IDOC condition assumed, case of orientation non-preserving also considered.
Cite
@article{arxiv.1512.06817,
title = {Normal basises and symbolical dynamics},
author = {Alexander Chernyatiev},
journal= {arXiv preprint arXiv:1512.06817},
year = {2015}
}
Comments
82 pages, in Russian, this is Ph.D. Thesis of Alexander Chernyatiev under supevision of Alexander V. Michalev and Alexei Kanel-Belov