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Asymptotic Vassiliev invariants for vector fields. (Invariants de Vassiliev asymptotiques des champs de vecteurs.) (English. French summary) Zbl 1278.57017
Summary: We analyse the asymptotical growth of Vassiliev invariants on non-periodic flow lines of ergodic vector fields on domains of $${\mathbb R}^3$$. More precisely, we show that the asymptotics of Vassiliev invariants is completely determined by the helicity of the vector field.

##### MSC:
 57M27 Invariants of knots and $$3$$-manifolds (MSC2010) 37A05 Dynamical aspects of measure-preserving transformations
##### Keywords:
Vassiliev invariants; helicity; Gauss diagram
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