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math.DS2019★ 1 cited
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…
math.DS2017
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…