| Issue |
RAIRO-Theor. Inf. Appl.
Volume 34, Number 5, September/October 2000
|
|
|---|---|---|
| Page(s) | 373 - 377 | |
| DOI | https://doi.org/10.1051/ita:2000122 | |
| Published online | 15 April 2002 | |
On a paper by Castelli, Mignosi, Restivo
1
LIAFA, Université Paris VII, Case 7014, 2 place Jussieu, 75251 Paris Cedex 05,
France; (justin@liafa.jussieu.fr)
2
Mailing address: 19 rue de Bagneux, 92330 Sceaux, France
Received:
June
2000
Accepted:
November
2000
Fine and Wilf's theorem has recently been extended to words having three periods. Following the method of the authors we extend it to an arbitrary number of periods and deduce from that a characterization of generalized Arnoux-Rauzy sequences or episturmian infinite words.
Résumé
Le théorème de Fine et Wilf a été récemment étendu aux mots ayant trois périodes. Nous l'étendons, en suivant la méthode des auteurs, à un nombre quelconque de périodes et en déduisons une caractérisation des suites d'Arnoux-Rauzy généralisées ou mots infinis épisturmiens.
Mathematics Subject Classification: 68R15
Key words: Fine and Wilf theorem / Arnoux-Rauzy sequence / episturmian word.
© EDP Sciences, 2000
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