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arXiv · 1512.06817

Normal basises and symbolical dynamics

Alexander Chernyatiev
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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.

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Alexander Chernyatiev. 2015-12-21. Normal basises and symbolical dynamics. https://arxiv.org/abs/1512.06817

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