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math.DS2011
Notes on the Schreier graphs of the Grigorchuk group
Yaroslav Vorobets
The paper is concerned with the space of the marked Schreier graphs of the Grigorchuk group and the action of the group on this space. In particular, we describe an invariant set o…
math.DS2009★ 2 cited
On a substitution subshift related to the Grigorchuk group
Yaroslav Vorobets
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…
math.DS2003★ 19 cited
Periodic geodesics on translation surfaces
Yaroslav Vorobets
As shown by Masur in 80s, for any translation surface there exists a periodic geodesic of bounded length, the directions of periodic geodesics are dense in the unit circle, and the…