Print Email Facebook Twitter Substitution Invariant Sturmian Words and Binary Trees Title Substitution Invariant Sturmian Words and Binary Trees Author Dekking, F.M. (TU Delft Applied Probability) Date 2018 Abstract 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. To reference this document use: http://resolver.tudelft.nl/uuid:bee082c6-c54e-4c7b-bfe1-51ef7abb1961 ISSN 1867-0652 Source Integers, 18A, 1-15 Part of collection Institutional Repository Document type journal article Rights © 2018 F.M. Dekking Files PDF 46901967.pdf 334.39 KB Close viewer /islandora/object/uuid:bee082c6-c54e-4c7b-bfe1-51ef7abb1961/datastream/OBJ/view