Tilings, substitution systems and dynamical systems generated by them

Shahar Mozes*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

106 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 languageAmerican English
Pages (from-to)139-186
Number of pages48
JournalJournal d'Analyse Mathematique
Volume53
Issue number1
DOIs
StatePublished - Dec 1989

Fingerprint

Dive into the research topics of 'Tilings, substitution systems and dynamical systems generated by them'. Together they form a unique fingerprint.

Cite this