19 citations · 29 across the 10 of their papers we have counts for
11 papers
On the topological full group containing the Grigorchuk group
Yaroslav Vorobets
We consider the topological full group of a substitution subshift induced by a substitution , , , . This group is interesting since the Grigorchuk…
Automatic Logarithm and Associated Measures
Rostislav Grigorchuk, Roman Kogan, Yaroslav Vorobets
We introduce the notion of the Automatic Logarithm with the purpose of studying the expanding properties of Schreier graphs of action of the g…
On growth of random groups of intermediate growth
Mustafa G. Benli, Rostislav Grigorchuk, Yaroslav Vorobets
We study the growth of typical groups from the family of -groups of intermediate growth constructed by the second author. We find that, in the sense of category, a generic group…
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…
Notes on the commutator group of the group of interval exchange transformations
Yaroslav Vorobets
We study the group of interval exchange transformations and obtain several characterizations of its commutator group. In particular, it turns out that the commutator group is gener…
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…