The asymptotic number of prime alternating links
Identifieur interne : 006138 ( Hal/Checkpoint ); précédent : 006137; suivant : 006139The asymptotic number of prime alternating links
Auteurs : Sébastien Kunz-Jacques [France] ; Gilles Schaeffer [France]Source :
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Abstract
Le premier résultat d'énumération asymptotique exacte en théorie des n{\oe}uds est dû à Sundberg et Thistlethwaite (\emph{Pac.\ J.\ Math.}, 1998), qui ont donné un encadrement du nombre $A_n$ d'entrelacs premier alternants et sa constante de croissance exponentielle. Dans cet article nous en décrivons le comportement asymptotic présis, en montrant que $A_n \sim cn^{-7/2}\lambda^n$.
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