Periodic configurations of subshifts on groups

Abstract

We study the density of periodic configurations for shift spaces defined on (the Cayley graph of) a finitely generated group. We prove that in the case of a full shift on a residually finite group and in that of a group shift space on an abelian group, the periodic configurations are dense. In the one–dimensional case we prove the density for irreducible… (More)
DOI: 10.1142/S0218196709005123

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