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Regular and Chaotic Dynamics, 2022, Volume 27, Issue 4, Pages 460–476
DOI: https://doi.org/10.1134/S1560354722040050 (Mi rcd1175) 		 
This article is cited in 3 scientific papers (total in 4 papers)

Alexey Borisov Memorial Volume

Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface

Yuri A. Kordyukova, Iskander A. Taimanovbc

a Institute of Mathematics, Ufa Federal Research Centre, Russian Academy of Sciences, ul. Chernyshevskogo 112, 450008 Ufa, Russia
b Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, 630090 Novosibirsk, Russia
c Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk, Russia
Citations (4)
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DOI: https://doi.org/10.1134/S1560354722040050
Abstract: We compute the trace formula for the magnetic Laplacian on a compact hyperbolic surface of constant curvature with a constant magnetic field for energies above the Mane critical level of the corresponding magnetic geodesic flow. We discuss the asymptotic behavior of the coefficients of the trace formula when the energy approaches the Mane critical level.
Keywords: trace formula, magnetic Laplacian, magnetic geodesic flow.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-15-2022-282
The second author (I.A.T.) was partially supported by the Mathematical Center in Akademgorodok under the agreement No. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 14.02.2022
Accepted: 18.04.2022
Bibliographic databases:
Document Type: Article
MSC: 58J50, 37J35, 58J37, 81Q20
Language: English
Citation: Yuri A. Kordyukov, Iskander A. Taimanov, “Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface”, Regul. Chaotic Dyn., 27:4 (2022), 460–476
Citation in format AMSBIB
\Bibitem{KorTai22}
\by Yuri A. Kordyukov, Iskander A. Taimanov
\paper Trace Formula for the Magnetic Laplacian on a Compact
Hyperbolic Surface
\jour Regul. Chaotic Dyn.
\yr 2022
\vol 27
\issue 4
\pages 460--476
\mathnet{http://mi.mathnet.ru/rcd1175}
\crossref{https://doi.org/10.1134/S1560354722040050}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4462433}
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  • https://www.mathnet.ru/eng/rcd/v27/i4/p460
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:32
     
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