D. V. Kosygin, A. A. Minasov, Ya. G. Sinai, “Statistical properties of the spectra of Laplace–Beltrami operators on Liouville surfaces”, Russian Math. Surveys, 48:4 (1993), 1

Citation in format AMSBIB

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\by D.~V.~Kosygin, A.~A.~Minasov, Ya.~G.~Sinai

\paper Statistical properties of the spectra of Laplace--Beltrami operators on Liouville surfaces

\jour Russian Math. Surveys

\yr 1993

\vol 48

\issue 4

\pages 1--142

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\crossref{https://doi.org/10.1070/RM1993v048n04ABEH001052}

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A. Yu. Anikin, S. Yu. Dobrokhotov, M. I. Katsnel'son, “Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers”, Theoret. and Math. Phys., 188:2 (2016), 1210–1235
L. D. Pustylnikov, “O gipoteze kvantovogo khaosa i obobschennykh tsepnykh drobyakh”, Preprinty IPM im. M. V. Keldysha, 2015, 037, 12 pp.
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L. D. Pustyl'nikov, “Energy Levels of Quantum Periodic Systems and Quantum Chaos”, Preprinty IPM im. M. V. Keldysha, 2014, 027, 8 pp.
D. A. Popov, “On the Weyl Formula for the Laplace Operator on Hyperbolic Riemann Surfaces”, Funct. Anal. Appl., 48:2 (2014), 150–153
D. A. Popov, “Explicit Formula for the Spectral Counting Function of the Laplace Operator on a Compact Riemannian Surface of Genus $g>1$ ”, Funct. Anal. Appl., 46:2 (2012), 133–146
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Lapointe H., “A Remainder Estimate for Weyl's Law on Liouville Tori”, Spectrum and Dynamics, Crm Proceedings & Lecture Notes, 52, 2010, 89–114
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Bruning, J, “The spectral asymptotics of the two-dimensional Schrodinger operator with a strong magnetic field. II”, Russian Journal of Mathematical Physics, 9:4 (2002), 400