On a substitution subshift related to the Grigorchuk group
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2009
- DOI:
- arXiv:
- arXiv:0910.4800
- Bibcode:
- 2009arXiv0910.4800V
- Keywords:
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- Mathematics - Dynamical Systems;
- 37B10
- E-Print:
- 23 pages