Geodesic
Episturmian morphisms and a Galois theorem on continued fractions
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 39 (2005) no. 1, pp. 207-215

Voir la notice de l'article provenant de la source Numdam

We associate with a word w on a finite alphabet A an episturmian (or Arnoux-Rauzy) morphism and a palindrome. We study their relations with the similar ones for the reversal of w. Then when |A|=2 we deduce, using the sturmian words that are the fixed points of the two morphisms, a proof of a Galois theorem on purely periodic continued fractions whose periods are the reversal of each other.

DOI : 10.1051/ita:2005012
Classification : 11A55, 68R15
Keywords: episturmian morphism, Arnoux-Rauzy morphism, palindrome, continued fraction, sturmian word 
@article{ITA_2005__39_1_207_0,
     author = {Justin, Jacques},
     title = {Episturmian morphisms and a {Galois} theorem on continued fractions},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {207--215},
     publisher = {EDP-Sciences},
     volume = {39},
     number = {1},
     year = {2005},
     doi = {10.1051/ita:2005012},
     mrnumber = {2132588},
     zbl = {1126.68519},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2005012/}
}
TY  - JOUR
AU  - Justin, Jacques
TI  - Episturmian morphisms and a Galois theorem on continued fractions
JO  - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY  - 2005
SP  - 207
EP  - 215
VL  - 39
IS  - 1
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/ita:2005012/
DO  - 10.1051/ita:2005012
LA  - en
ID  - ITA_2005__39_1_207_0
ER  - 
%0 Journal Article
%A Justin, Jacques
%T Episturmian morphisms and a Galois theorem on continued fractions
%J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
%D 2005
%P 207-215
%V 39
%N 1
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/ita:2005012/
%R 10.1051/ita:2005012
%G en
%F ITA_2005__39_1_207_0
Justin, Jacques. Episturmian morphisms and a Galois theorem on continued fractions. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 39 (2005) no. 1, pp. 207-215. doi: 10.1051/ita:2005012

Cité par Sources :