Certain words on the real projective line
type: Item
instance of: scholarly article
title: Certain words on the real projective line
zbMATH Open document ID: 0839.11008
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 1996-06-19T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/93576
review text: 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 \textit{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.
Mathematics Subject Classification ID: 11B85
Mathematics Subject Classification ID: 68R15
Mathematics Subject Classification ID: 11A55
Mathematics Subject Classification ID: 11A67
zbMATH DE Number: 484160
zbMATH Keywords: combinatorics on words
zbMATH Keywords: Lyndon word
zbMATH Keywords: homography
zbMATH Keywords: substitutions
zbMATH Keywords: infinite Christoffel words
author: Jean-Pierre Borel
author: François Laubie
reviewed by: Pierre Liardet
MaRDI profile type: Publication
OpenAlex ID: W2067989196
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DOI: 10.5802/JTNB.77
description: scientific article; zbMATH DE number 484160