On a substitution subshift related to the Grigorchuk group

Mathematics – Dynamical Systems

Scientific paper

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23 pages

Scientific paper

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.

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