Generating series for the trace group
Identifieur interne : 000970 ( Crin/Checkpoint ); précédent : 000969; suivant : 000971Generating series for the trace group
Auteurs : Anne Bouillard ; Jean MairesseSource :
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Abstract
We prove an analog for trace groups of the Möbius inversion formula for trace monoids (Cartier-Foata, 1969). A by-product is to obtain an explicit and combinatorial formula for the growth series of a trace group. This is used to study the average height of traces.
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<sourceDesc><biblStruct><analytic><title xml:lang="fr">Generating series for the trace group</title>
<author><name sortKey="Bouillard, Anne" sort="Bouillard, Anne" uniqKey="Bouillard A" first="Anne" last="Bouillard">Anne Bouillard</name>
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<author><name sortKey="Mairesse, Jean" sort="Mairesse, Jean" uniqKey="Mairesse J" first="Jean" last="Mairesse">Jean Mairesse</name>
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>trace group</term>
<term>trace monoïd</term>
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<front><div type="abstract" xml:lang="en" wicri:score="722">We prove an analog for trace groups of the Möbius inversion formula for trace monoids (Cartier-Foata, 1969). A by-product is to obtain an explicit and combinatorial formula for the growth series of a trace group. This is used to study the average height of traces.</div>
</front>
</TEI>
<BibTex type="inproceedings"><ref>bouillard03a</ref>
<crinnumber>A03-R-410</crinnumber>
<category>3</category>
<equipe>TRIO</equipe>
<author><e>Bouillard, Anne</e>
<e>Mairesse , Jean</e>
</author>
<title>Generating series for the trace group</title>
<booktitle>{7th International Conference Developments in Language Theory 2003 - DLT'03, Szeged, Hongrie}</booktitle>
<year>2003</year>
<volume>2710</volume>
<series>Lecture Notes in Computer Science</series>
<pages>159-170</pages>
<month>Jul</month>
<publisher>Springer</publisher>
<keywords><e>trace group</e>
<e>trace monoïd</e>
</keywords>
<abstract>We prove an analog for trace groups of the Möbius inversion formula for trace monoids (Cartier-Foata, 1969). A by-product is to obtain an explicit and combinatorial formula for the growth series of a trace group. This is used to study the average height of traces.</abstract>
</BibTex>
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