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» Sturmian and Episturmian Words
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DLT
2008
13 years 6 months ago
On a Generalization of Standard Episturmian Morphisms
Abstract. In a recent paper with L. Q. Zamboni the authors introduced the class of -episturmian words, where is an involutory antimorphism of the free monoid A . In this paper, we...
Michelangelo Bucci, Aldo de Luca, Alessandro De Lu...
DM
2006
83views more  DM 2006»
13 years 5 months ago
Language structure of pattern Sturmian words
Pattern Sturmian words introduced by Kamae and Zamboni KZ1, KZ2] are an analogy of Sturmian words for the maximal pattern complexity instead of the block complexity. So far, two k...
Teturo Kamae, Hui Rao, Bo Tan, Yu-Mei Xue
DAM
2011
13 years 10 days ago
On minimal Sturmian partial words
Partial words, which are sequences that may have some undefined positions called holes, can be viewed as sequences over an extended alphabet A = A ∪ { }, where stands for a hol...
Francine Blanchet-Sadri, John Lensmire
STACS
2007
Springer
13 years 11 months ago
A First Investigation of Sturmian Trees
We consider Sturmian trees as a natural generalization of Sturmian words. A Sturmian tree is a tree having n+1 distinct subtrees of height n for each n. As for the case of words, S...
Jean Berstel, Luc Boasson, Olivier Carton, Isabell...
CORR
2008
Springer
84views Education» more  CORR 2008»
13 years 5 months ago
Words and morphisms with Sturmian erasures
We say x {0, 1, 2}N is a word with Sturmian erasures if for any a {0, 1, 2} the word obtained erasing all a in x is a Sturmian word. A large family of such words is given coding ...
Fabien Durand, Adel Guerziz, Michel Koskas