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arXiv · 1510.06439

Strongly aperiodic subshifts on surface groups

David Bruce Cohen·Chaim Goodman-Strauss
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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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David Bruce Cohen, Chaim Goodman-Strauss. 2015-10-21. Strongly aperiodic subshifts on surface groups. https://arxiv.org/abs/1510.06439

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