A new factorization of mechanical words
Identifieur interne : 000773 ( Hal/Curation ); précédent : 000772; suivant : 000774A new factorization of mechanical words
Auteurs : Bruno Gaujal [France] ; Emmanuel Hyon [France]Source :
English descriptors
Abstract
In this paper, we introduce a morphism on Sturmian words which is tightly related to the coefficients of a particular continued fraction the ceiled continued fraction. This morphism will be applied to factorize periodic Sturmian words called Christoffel words, as well as, to characterize and construct discrete geometric objects called cellular line.
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<front><div type="abstract" xml:lang="en">In this paper, we introduce a morphism on Sturmian words which is tightly related to the coefficients of a particular continued fraction the ceiled continued fraction. This morphism will be applied to factorize periodic Sturmian words called Christoffel words, as well as, to characterize and construct discrete geometric objects called cellular line.</div>
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<email>bruno.gaujal@loria.fr</email>
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<affiliation ref="#struct-35418"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Emmanuel</forename>
<surname>Hyon</surname>
</persName>
<idno type="halAuthorId">66297</idno>
<affiliation ref="#struct-2406"></affiliation>
</author>
</analytic>
<monogr><idno type="reportNumber">RR-5175</idno>
<imprint><date type="datePub">2004</date>
</imprint>
<authority type="institution">INRIA</authority>
</monogr>
</biblStruct>
</sourceDesc>
<profileDesc><langUsage><language ident="en">English</language>
</langUsage>
<textClass><keywords scheme="author"><term xml:lang="en">CHRISTOFFEL WORDS</term>
<term xml:lang="en">CELLULAR LINES</term>
<term xml:lang="en">CEILED CONTINUED FRACTION</term>
<term xml:lang="en">STURMIAN MORPHISM</term>
</keywords>
<classCode scheme="halDomain" n="info.info-oh">Computer Science [cs]/Other [cs.OH]</classCode>
<classCode scheme="halTypology" n="REPORT">Reports</classCode>
</textClass>
<abstract xml:lang="en">In this paper, we introduce a morphism on Sturmian words which is tightly related to the coefficients of a particular continued fraction the ceiled continued fraction. This morphism will be applied to factorize periodic Sturmian words called Christoffel words, as well as, to characterize and construct discrete geometric objects called cellular line.</abstract>
</profileDesc>
</hal>
</record>
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