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Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface. / Kordyukov, Yuri A.; Taimanov, Iskander A.

In: Regular and Chaotic Dynamics, Vol. 27, No. 4, 5, 07.2022, p. 460-476.

Research output: Contribution to journal › Article › peer-review

Harvard

Kordyukov, YA & Taimanov, IA 2022, 'Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface', Regular and Chaotic Dynamics, vol. 27, no. 4, 5, pp. 460-476. https://doi.org/10.1134/S1560354722040050

APA

Kordyukov, Y. A., & Taimanov, I. A. (2022). Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface. Regular and Chaotic Dynamics, 27(4), 460-476. [5]. https://doi.org/10.1134/S1560354722040050

Vancouver

Kordyukov YA, Taimanov IA. Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface. Regular and Chaotic Dynamics. 2022 Jul;27(4):460-476. 5. doi: 10.1134/S1560354722040050

Author

Kordyukov, Yuri A. ; Taimanov, Iskander A. / Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface. In: Regular and Chaotic Dynamics. 2022 ; Vol. 27, No. 4. pp. 460-476.

BibTeX

@article{87320fb23e6646198c808261b25b7436,
title = "Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface",
abstract = "We compute the trace formula for the magnetic Laplacian on a compact hyperbolic surface of constant curvaturewith 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 = "magnetic geodesic flow, magnetic Laplacian, trace formula",
author = "Kordyukov, {Yuri A.} and Taimanov, {Iskander A.}",
note = "Funding Information: 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. Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",
year = "2022",
month = jul,
doi = "10.1134/S1560354722040050",
language = "English",
volume = "27",
pages = "460--476",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "PLEIADES PUBLISHING INC",
number = "4",

}

RIS

TY - JOUR

T1 - Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface

AU - Kordyukov, Yuri A.

AU - Taimanov, Iskander A.

N1 - Funding Information: 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. Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/7

Y1 - 2022/7

N2 - We compute the trace formula for the magnetic Laplacian on a compact hyperbolic surface of constant curvaturewith 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.

AB - We compute the trace formula for the magnetic Laplacian on a compact hyperbolic surface of constant curvaturewith 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.

KW - magnetic geodesic flow

KW - magnetic Laplacian

KW - trace formula

UR - http://www.scopus.com/inward/record.url?scp=85135344434&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=49231653

U2 - 10.1134/S1560354722040050

DO - 10.1134/S1560354722040050

M3 - Article

AN - SCOPUS:85135344434

VL - 27

SP - 460

EP - 476

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 4

M1 - 5

ER -

ID: 36779374