English

On a substitution subshift related to the Grigorchuk group

Dynamical Systems 2009-10-27 v1

Abstract

We study dynamics of a substitution subshift given by the substitution a->aca, b->d, c->b, d->c that is related to the Grigorchuk group. This dynamical system is shown to be, up to a countable set, conjugated to the binary odometer.

Keywords

Cite

@article{arxiv.0910.4800,
  title  = {On a substitution subshift related to the Grigorchuk group},
  author = {Yaroslav Vorobets},
  journal= {arXiv preprint arXiv:0910.4800},
  year   = {2009}
}

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23 pages