A remark on morphic sturmian words
نویسندگان
چکیده
منابع مشابه
A little more about morphic Sturmian words
Among Sturmian words, some of them are morphic, i.e. fixed point of a non-identical morphism on words. Berstel and Séébold (1993) have shown that if a characteristic Sturmian word is morphic, then it can be extended by the left with one or two letters in such a way that it remains morphic and Sturmian. Yasutomi (1997) has proved that these were the sole possible additions and that, if we cut th...
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We describe an algorithm which, given a factor of a Sturmian word, computes the next factor of the same length in the lexicographic order in linear time. It is based on a combinatorial property of Sturmian words which is related with the Burrows-Wheeler transformation.
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We prove, using a theorem of W. Schmidt, that if the sequence of partial quotients of the continued fraction expansion of a positive irrational real number takes only two values, and begins with arbitrary long blocks which are ''almost squares,'' then this number is either quadratic or transcendental. This result applies in particular to real numbers whose partial quotients form a Sturmian (or ...
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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 hole and matches (or is compatible with) every letter in A. The subword complexity of a partial word w, denoted by pw(n), is the number of distinct full words (those without holes) over the alphabet that are compatible with ...
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We introduce a square root map on Sturmian words and study its properties. Given a Sturmian word of slope α, there exists exactly six minimal squares in its language (a minimal square does not have a square as a proper prefix). A Sturmian word s of slope α can be written as a product of these six minimal squares: s = X2 1X 2 2X 2 3 · · · . The square root of s is defined to be the word √ s = X1...
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ژورنال
عنوان ژورنال: RAIRO - Theoretical Informatics and Applications
سال: 1994
ISSN: 0988-3754,1290-385X
DOI: 10.1051/ita/1994283-402551