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Certain words on the real projective line. (Quelques mots sur la droite projective réelle.) (French) Zbl 0839.11008
The authors give complete proofs of their results announced in [C. R. Acad. Sci., Paris, Sér. I 313, 483-485 (1991; Zbl 0742.11013)] and F. Laubie [ibid. 565-567 (1991; Zbl 0768.11024)]. This is a pleasant paper playing with words, namely Christoffel and Lyndon words. They link substitutions acting on infinite Christoffel words with the action of \(\text{SL}_2 (\mathbb{Z})\) on the projective real line.

11B85 Automata sequences
68R15 Combinatorics on words
11A55 Continued fractions
11A67 Other number representations
Full Text: DOI Numdam EuDML
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