Displaying similar documents to “Study of irreducible balanced pairs for substitutive languages”

Efficient reductions of picture words

Franz J. Brandenburg, Jürgen Dassow (1993)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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Homomorphic images of finite subdirectly irreducible unary algebras

Jaroslav Ježek, P. Marković, David Stanovský (2007)

Czechoslovak Mathematical Journal

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We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty.

Sturmian jungle (or garden?) on multiliteral alphabets

L'ubomíra Balková, Edita Pelantová, Štěpán Starosta (2010)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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The properties characterizing sturmian words are considered for words on multiliteral alphabets. We summarize various generalizations of sturmian words to multiliteral alphabets and enlarge the list of known relationships among these generalizations. We provide a new equivalent definition of rich words and make use of it in the study of generalizations of sturmian words based on palindromes. We also collect many examples of infinite words to illustrate differences in the generalized...

Connectedness of fractals associated with Arnoux–Rauzy substitutions

Valérie Berthé, Timo Jolivet, Anne Siegel (2014)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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Rauzy fractals are compact sets with fractal boundary that can be associated with any unimodular Pisot irreducible substitution. These fractals can be defined as the Hausdorff limit of a sequence of compact sets, where each set is a renormalized projection of a finite union of faces of unit cubes. We exploit this combinatorial definition to prove the connectedness of the Rauzy fractal associated with any finite product of three-letter Arnoux–Rauzy substitutions.

Drunken man infinite words complexity

Marion Le Gonidec (2008)

RAIRO - Theoretical Informatics and Applications

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In this article, we study the complexity of drunken man infinite words. We show that these infinite words, generated by a deterministic and complete countable automaton, or equivalently generated by a substitution over a countable alphabet of constant length, have complexity functions equivalent to (log ) when goes to infinity.


On the growth rates of complexity of threshold languages

Arseny M. Shur, Irina A. Gorbunova (2010)

RAIRO - Theoretical Informatics and Applications

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Threshold languages, which are the (/(–1))-free languages over -letter alphabets with ≥ 5, are the minimal infinite power-free languages according to Dejean's conjecture, which is now proved for all alphabets. We study the growth properties of these languages. On the base of obtained structural properties and computer-assisted studies we conjecture that the growth rate of complexity of the threshold language over letters tends to a constant α ^ 1 . 242 as tends to infinity.