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» Periodic and Sturmian languages
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IPL
2006
74views more  IPL 2006»
13 years 5 months ago
Periodic and Sturmian languages
Counting the number of distinct factors in the words of a language gives a measure of complexity for that language similar to the factor-complexity of infinite words. Similarly as ...
Lucian Ilie, Solomon Marcus, Ion Petre
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
MST
2010
111views more  MST 2010»
13 years 3 months ago
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,...
Jean Berstel, Luc Boasson, Olivier Carton, Isabell...
COMBINATORICS
2007
84views more  COMBINATORICS 2007»
13 years 5 months ago
A Characterization of Balanced Episturmian Sequences
It is well-known that Sturmian sequences are the non ultimately periodic sequences that are balanced over a 2-letter alphabet. They are also characterized by their complexity: the...
Geneviève Paquin, Laurent Vuillon
DAM
2011
13 years 8 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