×

Prolongements homographiques de substitutions de mots de Christoffel. (Homographic prolongations of substitutions of Christoffel’s words). (French) Zbl 0768.11024

This paper follows a previous one by the author and J.-P. Borel [C. R. Acad. Sci., Paris, Sér. I 313, 483-485 (1991; Zbl 0742.11013)], and is devoted to the Christoffel words. It contains a generalization of a result of T. Brown which gives a characterization of the quadratic numbers as the slopes of certain infinite Christoffel words fixed under substitutions.
Note a repeated misprint: in French there should be no s at the end of the word standard in an expression like “substitutions standard”.

MSC:

11J99 Diophantine approximation, transcendental number theory
11B85 Automata sequences
68R15 Combinatorics on words
68Q45 Formal languages and automata

Citations:

Zbl 0742.11013
PDF BibTeX XML Cite