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arxiv: 1510.06439 · v1 · pith:MOKYLZQDnew · submitted 2015-10-21 · 🧮 math.GR · math.DS

Strongly aperiodic subshifts on surface groups

classification 🧮 math.GR math.DS
keywords aperiodicstronglysubshiftsfinitesurfacetypeconstructevery
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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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