Asymptotic Vassiliev invariants for vector fields
[Invariants de Vassiliev asymptotiques des champs de vecteurs]
Bulletin de la Société Mathématique de France, Tome 140 (2012) no. 4, pp. 569-582.

Nous analysons le comportement asymptotique des invariants de Vassiliev des orbites non périodiques d’un champ de vecteurs ergodique dans un domaine de ℝ3. Nous montrons que ce comportement est gouverné par l’hélicité du champ de vecteurs.

We analyse the asymptotical growth of Vassiliev invariants on non-periodic flow lines of ergodic vector fields on domains of ℝ3. More precisely, we show that the asymptotics of Vassiliev invariants is completely determined by the helicity of the vector field.

DOI : 10.24033/bsmf.2637
Classification : 57M27, 37A05
Keywords: Vassiliev invariants, helicity, Gauss diagram
Mot clés : invariants de Vassiliev, hélicité, diagramme de Gauss 
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Baader, Sebastian; Marché, Julien. Asymptotic Vassiliev invariants for vector fields. Bulletin de la Société Mathématique de France, Tome 140 (2012) no. 4, pp. 569-582. doi : 10.24033/bsmf.2637. https://www.numdam.org/articles/10.24033/bsmf.2637/

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