Geodesic
Squares and cubes in sturmian sequences
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 3, pp. 615-624

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

MR Zbl

We prove that every sturmian word ω has infinitely many prefixes of the form U n V n 3 , where |U n |<2.855|V n | and lim n→∞ |V n |=∞. In passing, we give a very simple proof of the known fact that every sturmian word begins in arbitrarily long squares.

DOI : 10.1051/ita/2009005
Classification : 68R15
Keywords: sturmian word, block-complexity, stammering word 
Dubickas, Artūras. Squares and cubes in sturmian sequences. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 3, pp. 615-624. doi: 10.1051/ita/2009005
@article{ITA_2009__43_3_615_0,
     author = {Dubickas, Art\={u}ras},
     title = {Squares and cubes in sturmian sequences},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {615--624},
     year = {2009},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {3},
     doi = {10.1051/ita/2009005},
     mrnumber = {2541133},
     zbl = {1176.68150},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita/2009005/}
}
TY  - JOUR
AU  - Dubickas, Artūras
TI  - Squares and cubes in sturmian sequences
JO  - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY  - 2009
SP  - 615
EP  - 624
VL  - 43
IS  - 3
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/ita/2009005/
DO  - 10.1051/ita/2009005
LA  - en
ID  - ITA_2009__43_3_615_0
ER  - 
%0 Journal Article
%A Dubickas, Artūras
%T Squares and cubes in sturmian sequences
%J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
%D 2009
%P 615-624
%V 43
%N 3
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/ita/2009005/
%R 10.1051/ita/2009005
%G en
%F ITA_2009__43_3_615_0

Cité par Sources :