Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface Full article
| Journal |
Regular and Chaotic Dynamics
ISSN: 1560-3547 , E-ISSN: 1468-4845 |
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| Output data | Year: 2022, Volume: 27, Number: 4, Pages: 460-476 Pages count : 17 DOI: 10.1134/S1560354722040050 | ||||||
| Tags | magnetic geodesic flow; magnetic Laplacian; trace formula | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
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.
Cite:
Kordyukov Y.A.
, Taimanov I.A.
Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface
Regular and Chaotic Dynamics. 2022. V.27. N4. P.460-476. DOI: 10.1134/S1560354722040050 WOS Scopus РИНЦ OpenAlex
Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface
Regular and Chaotic Dynamics. 2022. V.27. N4. P.460-476. DOI: 10.1134/S1560354722040050 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Feb 14, 2022 |
| Accepted: | Apr 18, 2022 |
Identifiers:
| Web of science: | WOS:000835721500005 |
| Scopus: | 2-s2.0-85135344434 |
| Elibrary: | 49231653 |
| OpenAlex: | W4226077290 |