Geodesic
Knot Invariants in Geodesic Flows
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 50-64

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The mean value of an asymptotic invariant of a knotted trajectory of a Ghys–Dehornoy geodesic flow is calculated. The result is important for investigating the magnetostatic equilibrium state of a magnetic field in a liquid conducting medium. 
@article{TM_2020_308_a3,
     author = {P. M. Akhmet'ev},
     title = {Knot {Invariants} in {Geodesic} {Flows}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {50--64},
     publisher = {mathdoc},
     volume = {308},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_308_a3/}
}
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P. M. Akhmet'ev. Knot Invariants in Geodesic Flows. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 50-64. http://geodesic.mathdoc.fr/item/TM_2020_308_a3/