Characterization of substitution invariant words coding exchange of three intervals.
Baláži, Peter, Masáková, Zuzana, Pelantová, Edita (2008)
Integers
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Displaying similar documents to “A graph approach to computing nondeterminacy in substitutional dynamical systems ”
Characterization of substitution invariant words coding exchange of three intervals.
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Local return rates in substitutive subshifts
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Axiomatizing omega and omega-op powers of words
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In 1978, Courcelle asked for a complete set of axioms and rules for the equational theory of (discrete regular) words equipped with the operations of product, omega power and omega-op power. In this paper we find a simple set of equations and prove they are complete. Moreover, we show that the equational theory is decidable in polynomial time.
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On substitution invariant Sturmian words: an application of Rauzy fractals
Valérie Berthé, Hiromi Ei, Shunji Ito, Hui Rao (2007)
RAIRO - Theoretical Informatics and Applications
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Sturmian words are infinite words that have exactly factors of length for every positive integer . A Sturmian word is also defined as a coding over a two-letter alphabet of the orbit of point under the action of the irrational rotation (mod 1). A substitution fixes a Sturmian word if and only if it is invertible. The main object of the present paper is to investigate Rauzy fractals associated with two-letter invertible substitutions. As an application, we give an alternative ...