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A new factorization of mechanical words

Identifieur interne : 000773 ( Hal/Corpus ); précédent : 000772; suivant : 000774

A new factorization of mechanical words

Auteurs : Bruno Gaujal ; Emmanuel Hyon

Source :

RBID : Hal:inria-00071413

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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Hal:inria-00071413

Le document en format XML

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<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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