129 citations · 401 across the 50 of their papers we have counts for
65 papers
Thue-Morse sequence and groups of intermediate growth
Rostislav Grigorchuk, Yaroslav Vorobets
We consider the substitution subshift generated by the Thue-Morse substitution , . We prove that the topological full group of the subshift contains a subgroup of i…
Liftable self-similar groups and scale groups
Rostislav Grigorchuk, Dmytro Savchuk
We canonically identify the groups of isometries and dilations of local fields and their rings of integers with subgroups of the automorphism group of the -regular tree $\wi…
Directional counting for regular languages
Rostislav Grigorchuk, Jean-François Quint
We explain how certain tools from convex analysis and probability theory may be used in order to obtain counting results for the number of words with prescribed frequencies of lett…
On spectral properties of the Schreier graphs of the Thompson group
Artem Dudko, Rostislav Grigorchuk
In this article we study spectral properties of the family of Schreier graphs associated to the action of the Thompson group on the interval [0,1]. In particular, we describe s…
Finitely generated subgroups of free groups as formal languages and their cogrowth
Arman Darbinyan, Rostislav Grigorchuk, Asif Shaikh
For finitely generated subgroups of a free group of finite rank , we study the language of reduced words that represent which is a regular language. Using th…
Laplace and Schrödinger operators without eigenvalues on homogeneous amenable graphs
Rostislav Grigorchuk, Christophe Pittet
A one-by-one exhaustion is a combinatorial/geometric condition which excludes eigenvalues from the spectra of Laplace and Schrödinger operators on graphs. Isoperimetric inequalitie…