We characterize conjugation classes of Christoffel words (equivalently of standard words) by the number of factors. We give several geometric proofs of classical results on these words and sturmian words.
Mots clés : words, Christoffel, sturmian, conjugation, geometric
@article{ITA_2006__40_1_15_0, author = {Borel, Jean-Pierre and Reutenauer, Christophe}, title = {On {Christoffel} classes}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {15--27}, publisher = {EDP-Sciences}, volume = {40}, number = {1}, year = {2006}, doi = {10.1051/ita:2005038}, mrnumber = {2197281}, zbl = {1085.68116}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ita:2005038/} }
TY - JOUR AU - Borel, Jean-Pierre AU - Reutenauer, Christophe TI - On Christoffel classes JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2006 SP - 15 EP - 27 VL - 40 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ita:2005038/ DO - 10.1051/ita:2005038 LA - en ID - ITA_2006__40_1_15_0 ER -
%0 Journal Article %A Borel, Jean-Pierre %A Reutenauer, Christophe %T On Christoffel classes %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2006 %P 15-27 %V 40 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ita:2005038/ %R 10.1051/ita:2005038 %G en %F ITA_2006__40_1_15_0
Borel, Jean-Pierre; Reutenauer, Christophe. On Christoffel classes. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 1, pp. 15-27. doi : 10.1051/ita:2005038. http://archive.numdam.org/articles/10.1051/ita:2005038/
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