0
2013
Impact Factor

Yuri Kordyukov

112 Chernyshevsky street, Ufa 450008
Ufa Federal Research Center RAS

Publications:

 Kordyukov Y. A., Taimanov I. A. Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface 2022, vol. 27, no. 4, pp.  460-476 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 Citation: Kordyukov Y. A., Taimanov I. A.,  Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface, Regular and Chaotic Dynamics, 2022, vol. 27, no. 4, pp. 460-476 DOI:10.1134/S1560354722040050