Strongly aperiodic subshifts on surface groups

Published 21 Oct 2015 in math.GR and math.DS | (1510.06439v1)

Abstract: We give strongly aperiodic subshifts of finite type on every hyperbolic surface group; more generally, for each pair of expansive primitive symbolic substitution systems with incommensurate growth rates, we construct strongly aperiodic subshifts of finite type on their orbit graphs.

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