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» Periodic and Sturmian languages
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IPL
2006
74views more  IPL 2006»
13 years 4 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 4 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 4 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
12 years 11 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