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Publications in Math-Net.Ru |
Citations |
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2021 |
1. |
A. V. Pereskokov, “Asymptotics of the spectrum of a Hartree-type operator with a screened Coulomb self-action potential near the upper boundaries of spectral clusters”, TMF, 209:3 (2021), 543–560 ; Theoret. and Math. Phys., 209:3 (2021), 1782–1797 |
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2020 |
2. |
A. S. Migaeva, A. V. Pereskokov, “Asymptotics of the Spectrum of the Hydrogen Atom in Orthogonal Electric and Magnetic Fields near the Lower Boundaries of Spectral Clusters”, Mat. Zametki, 107:5 (2020), 734–751 ; Math. Notes, 107:5 (2020), 804–819 |
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3. |
A. V. Pereskokov, “Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluste”, TMF, 205:3 (2020), 467–483 ; Theoret. and Math. Phys., 205:3 (2020), 1652–1665 |
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2019 |
4. |
D. A. Vakhrameeva, A. V. Pereskokov, “Asymptotics of the spectrum of a two-dimensional Hartree-type operator with a Coulomb self-action potential near the lower boundaries of spectral clusters”, TMF, 199:3 (2019), 445–459 ; Theoret. and Math. Phys., 199:3 (2019), 864–877 |
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2017 |
5. |
A. V. Pereskokov, “Semiclassical Asymptotics of the Spectrum near the Lower Boundary of Spectral Clusters for a Hartree-Type Operator”, Mat. Zametki, 101:6 (2017), 894–910 ; Math. Notes, 101:6 (2017), 1009–1022 |
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2016 |
6. |
A. V. Pereskokov, “Semiclassical asymptotic approximation of the two-dimensional Hartree operator spectrum near the upper boundaries of spectral clusters”, TMF, 187:1 (2016), 74–87 ; Theoret. and Math. Phys., 187:1 (2016), 511–524 |
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2015 |
7. |
A. V. Pereskokov, “Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: Asymptotic solutions localized near a circle”, TMF, 183:1 (2015), 78–89 ; Theoret. and Math. Phys., 183:1 (2015), 516–526 |
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2014 |
8. |
A. V. Pereskokov, “Semiclassical asymptotic spectrum of a Hartree-type operator near the upper boundary of spectral clusters”, TMF, 178:1 (2014), 88–106 ; Theoret. and Math. Phys., 178:1 (2014), 76–92 |
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2013 |
9. |
A. V. Pereskokov, “Asymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clusters”, Izv. RAN. Ser. Mat., 77:1 (2013), 165–210 ; Izv. Math., 77:1 (2013), 163–210 |
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2012 |
10. |
A. V. Pereskokov, “Asymptotics of the spectrum of the hydrogen atom in a magnetic field near the lower boundaries of spectral clusters”, Tr. Mosk. Mat. Obs., 73:2 (2012), 277–325 ; Trans. Moscow Math. Soc., 73 (2012), 221–262 |
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11. |
A. V. Pereskokov, “Asymptotics of the Spectrum and Quantum Averages near the Boundaries of Spectral Clusters for Perturbed Two-Dimensional Oscillators”, Mat. Zametki, 92:4 (2012), 583–596 ; Math. Notes, 92:4 (2012), 532–543 |
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2003 |
12. |
M. V. Karasev, A. V. Pereskokov, “Asymptotic solutions for Hartree equations and logarithmic obstructions for higher corrections of semiclassical approximation”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003), 102–106 ; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S123–S128 |
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2002 |
13. |
A. V. Pereskokov, “Asymptotic Solutions of Two-Dimensional Hartree-Type Equations Localized in the Neighborhood of Line Segments”, TMF, 131:3 (2002), 389–406 ; Theoret. and Math. Phys., 131:3 (2002), 775–790 |
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2001 |
14. |
M. V. Karasev, A. V. Pereskokov, “Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. II. Localization in planar discs”, Izv. RAN. Ser. Mat., 65:6 (2001), 57–98 ; Izv. Math., 65:6 (2001), 1127–1168 |
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15. |
M. V. Karasev, A. V. Pereskokov, “Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. I. The model with logarithmic singularity”, Izv. RAN. Ser. Mat., 65:5 (2001), 33–72 ; Izv. Math., 65:5 (2001), 883–921 |
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1995 |
16. |
M. V. Karasev, A. V. Pereskokov, “Turning points, phase shifts, and quantization rules in ordinary differential equations with a local rapidly decreasing nonlinearity”, Tr. Mosk. Mat. Obs., 56 (1995), 107–176 |
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1993 |
17. |
M. V. Karasev, A. V. Pereskokov, “On connection formulas for the second Painleve transcendent. Proof of the Miles conjecture, and a quantization rule”, Izv. RAN. Ser. Mat., 57:3 (1993), 92–151 ; Russian Acad. Sci. Izv. Math., 42:3 (1994), 501–560 |
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18. |
M. V. Karasev, A. V. Pereskokov, “Logarithmic corrections in a quantization rule. The polaron spectrum”, TMF, 97:1 (1993), 78–93 ; Theoret. and Math. Phys., 97:1 (1993), 1160–1170 |
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1992 |
19. |
M. V. Karasev, A. V. Pereskokov, “One-dimensional equations of a self-consistent field with cubic nonlinearity in quasiclassical approximation”, Mat. Zametki, 52:2 (1992), 66–82 ; Math. Notes, 52:2 (1992), 801–814 |
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1989 |
20. |
M. V. Karasev, A. V. Pereskokov, “Quantization rule for self-consistent field equations with local rapidly decreasing nonlinearity”, TMF, 79:2 (1989), 198–208 ; Theoret. and Math. Phys., 79:2 (1989), 479–486 |
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1988 |
21. |
A. V. Pereskokov, “Quantization rule for the nonlinear Schrödinger equation in an exterior field”, Mat. Zametki, 44:1 (1988), 149–152 |
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1985 |
22. |
M. V. Karasev, V. P. Maslov, A. V. Pereskokov, “Resonance frequencies of valves in optic media with spatial
dispersion”, Dokl. Akad. Nauk SSSR, 281:5 (1985), 1085–1088 |
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