129 citations · 401 across the 50 of their papers we have counts for
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Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs
Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda +1
We introduce a class of subshifts governed by finitely many two-sided infinite words. We call these words leading sequences. We show that any locally constant cocycle over such a s…
On the rigidity of rank gradient in a group of intermediate growth
Rostislav Grigorchuk, Rostyslav Kravchenko
We introduce and investigate the rigidity property of rank gradient in the case of the group of intermediate growth constructed by the first author. We show that $\mat…
Combinatorics of the subshift associated to Grigorchuk's group
Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda
We study combinatorial properties of the subshift induced by the substitution that describes Lysenok's presentation of Grigorchuk's group of intermediate growth by generators and r…
Constructions of torsion-free countable, amenable, weakly mixing groups
Rostislav Grigorchuk, Rostyslav Kravchenko, Alexander Olshanskii
In this note, we construct torsion-free countable, amenable, weakly mixing groups, which answer a question of V. Bergelson. Some results related to verbal subgroups and crystallogr…