Displaying similar documents to “Combinatorial and arithmetical properties of infinite words associated with non-simple quadratic Parry numbers”

Fewest repetitions in infinite binary words

Golnaz Badkobeh, Maxime Crochemore (2012)

RAIRO - Theoretical Informatics and Applications

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A square is the concatenation of a nonempty word with itself. A word has period if its letters at distance match. The exponent of a nonempty word is the quotient of its length over its smallest period. In this article we give a proof of the fact that there exists an infinite binary word which contains finitely many squares and simultaneously avoids words of exponent larger than 7/3. Our infinite word contains 12 squares, which is the smallest possible number of squares to get the property,...

Fewest repetitions in infinite binary words

Golnaz Badkobeh, Maxime Crochemore (2012)

RAIRO - Theoretical Informatics and Applications

Similarity:

A square is the concatenation of a nonempty word with itself. A word has period if its letters at distance match. The exponent of a nonempty word is the quotient of its length over its smallest period. In this article we give a proof of the fact that there exists an infinite binary word which contains finitely many squares and simultaneously avoids words of exponent larger than 7/3. Our infinite word contains 12 squares, which is the smallest possible number of squares to get the property,...

Fewest repetitions in infinite binary words

Golnaz Badkobeh, Maxime Crochemore (2012)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Similarity:

A square is the concatenation of a nonempty word with itself. A word has period if its letters at distance match. The exponent of a nonempty word is the quotient of its length over its smallest period. In this article we give a proof of the fact that there exists an infinite binary word which contains finitely many squares and simultaneously avoids words of exponent larger than 7/3. Our infinite word contains 12 squares, which is the smallest possible number of squares to get the property,...

Binary words avoiding the pattern AABBCABBA

Pascal Ochem (2010)

RAIRO - Theoretical Informatics and Applications

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We show that there are three types of infinite words over the two-letter alphabet {0,1} that avoid the pattern . These types, , , and , differ by the factor complexity and the asymptotic frequency of the letter 0. Type has polynomial factor complexity and letter frequency 1 2 . Type has exponential factor complexity and the frequency of the letter 0 is at least 0.45622 and at most 0.48684. Type is obtained from type ...