129 citations · 401 across the 50 of their papers we have counts for
47 papers · 1 filter
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…
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…
On the growth of the wallpaper groups
Rostislav Grigorchuk, Cosmas Kravaris
We develop further Cannon's method of cone types for finding the growth function of a group, which can also be used to find the coordination sequences of certain infinite graphs. W…
Integrable and Chaotic Systems Associated with Fractal Groups
Rostislav Grigorchuk, Supun Samarakoon
Fractal groups (also called self-similar groups) is the class of groups discovered by the first author in the 80-s of the last century with the purpose to solve some famous problem…
Self-similar groups and holomorphic dynamics: Renormalization, integrability, and spectrum
Nguyen-Bac Dang, Rostislav Grigorchuk, Mikhail Lyubich
In this paper, we explore the spectral measures of the Laplacian on Schreier graphs for several self-similar groups (the Grigorchuk, Lamplighter, and Hanoi groups) from the dynamic…