Tilings, substitution systems and dynamical systems generated by them

Shahar Mozes

doi:10.1007/BF02793412

Tilings, substitution systems and dynamical systems generated by them

Shahar Mozes^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

110 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	139-186
Number of pages	48
Journal	Journal d'Analyse Mathematique
Volume	53
Issue number	1
DOIs	https://doi.org/10.1007/BF02793412
State	Published - Dec 1989

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Tilings, substitution systems and dynamical systems generated by them

Abstract

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