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» Sturmian and Episturmian Words
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DLT
2008
13 years 9 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 7 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 2 months 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
14 years 1 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 8 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