English

Markov-Dyck shifts, neutral periodic points and topological conjugacy

Dynamical Systems 2018-06-14 v3

Abstract

We study the neutral periodic points of the Markov-Dyck shifts of finite strongly connected directed graphs. Under certain hypothesis on the structure of the graphs we show, that the topological conjugacy of their Markov-Dyck shifts implies the isomorphism of the graphs.

Keywords

Cite

@article{arxiv.1611.03025,
  title  = {Markov-Dyck shifts, neutral periodic points and topological conjugacy},
  author = {Wolfgang Krieger and Kengo Matsumoto},
  journal= {arXiv preprint arXiv:1611.03025},
  year   = {2018}
}

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17 pages