1 results
Vassiliev invariants and writhe for periodic orbits of Axiom A flows
- Part of
-
- Journal:
- Ergodic Theory and Dynamical Systems , First View
- Published online by Cambridge University Press:
- 10 March 2025, pp. 1-13
-
- Article
-
- You have access
- Open access
- HTML
- Export citation
-
We obtain asymptotics for the average value taken by a Vassiliev invariant on knots appearing as periodic orbits of an Axiom A flow on
$S^3.$ The methods used also give asymptotics for the writhe of periodic orbits. Our results are analogous to those of G. Contreras [Average linking numbers of closed orbits of hyperbolic flows. J. Lond. Math. Soc. (2) 51 (1995), 614–624] for average linking numbers.
