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arXiv · 0909.3997

Periodicity in tilings

Emmanuel Jeandel·Pascal Vanier
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Abstract

Tilings and tiling systems are an abstract concept that arise both as a computational model and as a dynamical system. In this paper, we characterize the sets of periods that a tiling system can produce. We prove that up to a slight recoding, they correspond exactly to languages in the complexity classes $\nspace{n}$ and $\cne$.

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Emmanuel Jeandel, Pascal Vanier. 2009-09-22. Periodicity in tilings. https://arxiv.org/abs/0909.3997

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