Substitution Invariant Sturmian Words and Binary Trees

Research output: Contribution to journalArticleScientificpeer-review

28 Downloads (Pure)


We take a global view at substitution invariant Sturmian sequences. We show that homogeneous substitution invariant Sturmian sequences sα,α can be indexed by two binary trees, associated directly with Johannes Kepler’s tree of harmonic fractions from 1619. We obtain similar results for the inhomogeneous sequences sα,1−α and sα,0.
Original languageEnglish
Article numberA7
Pages (from-to)1-15
Number of pages15
Publication statusPublished - 2018


Dive into the research topics of 'Substitution Invariant Sturmian Words and Binary Trees'. Together they form a unique fingerprint.

Cite this