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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 308, Pages 50–64
DOI: https://doi.org/10.4213/tm4059 (Mi tm4059) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Knot Invariants in Geodesic Flows

P. M. Akhmet'evab

a HSE Tikhonov Moscow Institute of Electronics and Mathematics, Tallinskaya ul. 34, Moscow, 123458 Russia
b Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, Kaluzhskoe sh. 4, Troitsk, Moscow, 108840 Russia
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DOI: https://doi.org/10.4213/tm4059
Abstract: 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.
Funding agency Grant number
Russian Foundation for Basic Research 19-52-53045 ГФЕН_а
This work was supported by the Russian Foundation for Basic Research, project no. 19-52-53045 GFEN_a.
Received: April 1, 2019
Revised: August 13, 2019
Accepted: November 5, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 308, Pages 42–55
DOI: https://doi.org/10.1134/S0081543820010046
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: P. M. Akhmet'ev, “Knot Invariants in Geodesic Flows”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 308, Steklov Math. Inst. RAS, Moscow, 2020, 50–64; Proc. Steklov Inst. Math., 308 (2020), 42–55
Citation in format AMSBIB
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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