Periodicity in tilings

Emmanuel Jeandel (1) , Pascal Vanier (1)

1 LIF - Laboratoire d'informatique Fondamentale de Marseille - UMR 6166

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 $\cne$.

Domaines: Mathématique discrète [cs.DM]

Emmanuel Jeandel, Pascal Vanier. Periodicity in tilings. Developments in Language Theory, 2010, 6224/2010, pp.243-254. ⟨10.1007/978-3-642-14455-4_23⟩. ⟨hal-00419196⟩