129 citations · 401 across the 50 of their papers we have counts for
4 papers · 2 filters
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…
On spectra and spectral measures of Schreier and Cayley graphs
Rostislav Grigorchuk, Tatiana Nagnibeda, Aitor Pérez
We are interested in various aspects of spectral rigidity of Cayley and Schreier graphs of finitely generated groups. For each pair of integers and , we consider…