The object of this work is to study the properties of dynamical systems defined by tilings. A connection to symbolic dynamical systems defined by one- and two-dimensional substitution systems is shown. This is used in particular to show the existence of a tiling system such that its corresponding dynamical system is minimal and topological weakly mixing. We remark that for one-dimensional tilings the dynamical system always contains periodic points. © 1989 The Weizmann Science Press of Israel.
CITATION STYLE
Mozes, S. (1989). Tilings, substitution systems and dynamical systems generated by them. Journal d’Analyse Mathématique, 53(1), 139–186. https://doi.org/10.1007/BF02793412
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