Vassiliev invariants and writhe for periodic orbits of Axiom A flows
Dynamical Systems
2025-08-13 v1 Geometric Topology
Abstract
We obtain asymptotics for the average value taken by a Vassiliev invariant on knots appearing as periodic orbits of an Axiom A flow on The methods used also give asymptotics for the writhe of periodic orbits. Our results are analogous to those of G. Contreras for average linking numbers.
Keywords
Cite
@article{arxiv.2401.07940,
title = {Vassiliev invariants and writhe for periodic orbits of Axiom A flows},
author = {Solly Coles},
journal= {arXiv preprint arXiv:2401.07940},
year = {2025}
}