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Journal Articles International Journal of Foundations of Computer Science Year : 2006

Multidimensional Sturmian Sequences and Generalized Substitutions

Thomas Fernique
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Abstract

This paper is devoted to a study on the way \emph{generalized substitutions} - a multi-dimensional extension of substitutions - act on \emph{multi-dimensional Sturmian sequences}. We give a sufficient condition under which these multi-dimensional Sturmian sequences are obtained by iterated compositions of generalized substitutions. This condition relies on Brun expansions - a multi-dimensional extension of continued fraction expansions.
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Dates and versions

lirmm-00149363 , version 1 (25-05-2007)

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Thomas Fernique. Multidimensional Sturmian Sequences and Generalized Substitutions. International Journal of Foundations of Computer Science, 2006, 17, pp.575-600. ⟨10.1142/S0129054106004005⟩. ⟨lirmm-00149363⟩
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