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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
V. A. Sergeev, A. A. Fedotov, “On the surface wave arising after the delocalization of a quantum particle during adiabatic evolution”, Algebra i Analiz, 36:1 (2024), 204–233 |
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2023 |
2. |
A. A. Fedotov, “Complex WKB Method (One-Dimensional Linear Problems the Complex Plane)”, Math. Notes, 114:6 (2023), 1418–1479 |
3. |
A. A. Fedotov, “Close Turning Points and the Harper Operator”, Mat. Zametki, 113:5 (2023), 785–790 ; Math. Notes, 113:5 (2023), 741–746 |
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2022 |
4. |
D. I. Borisov, A. A. Fedotov, “On Bloch solutions of difference equations”, Funktsional. Anal. i Prilozhen., 56:4 (2022), 3–16 ; Funct. Anal. Appl., 56:4 (2022), 239–250 |
4
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5. |
V. A. Sergeev, A. A. Fedotov, “On the Delocalization of a Quantum Particle under the Adiabatic Evolution Generated by a One-Dimensional Schrödinger Operator”, Mat. Zametki, 112:5 (2022), 752–769 ; Math. Notes, 112:5 (2022), 726–740 |
2
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6. |
A. A. Fedotov, “On the absence of eigenvalues of the difference Schrödinger operator on a line with a periodic potential”, TMF, 213:3 (2022), 450–458 ; Theoret. and Math. Phys., 213:3 (2022), 1698–1705 |
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2021 |
7. |
A. A. Fedotov, “The complex WKB method for a system of two linear difference equations”, Algebra i Analiz, 33:2 (2021), 298–326 ; St. Petersburg Math. J., 33:2 (2022), 405–425 |
1
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8. |
D. I. Borisov, A. A. Fedotov, “On the spectrum of a non-self-adjoint quasiperiodic operator”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021), 16–21 ; Dokl. Math., 104:3 (2021), 326–331 |
3
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9. |
A. A. Fedotov, “Semiclassical Asymptotics for a Difference Schrödinger Equation with Two Coalescent Turning Points”, Mat. Zametki, 109:6 (2021), 948–953 ; Math. Notes, 109:6 (2021), 990–994 |
2
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10. |
A. A. Fedotov, I. I. Lukashova, “On a self-similar behavior of logarithmic sums”, Zap. Nauchn. Sem. POMI, 506 (2021), 279–292 |
11. |
K. S. Sedov, A. A. Fedotov, “On monodromy matrices for a difference Schrödinger equation on the real line with a small periodic potential”, Zap. Nauchn. Sem. POMI, 506 (2021), 223–244 |
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2020 |
12. |
F. Klopp, A. A. Fedotov, “On the Hierarchical Behavior of Solutions of the Maryland Equation in the Semiclassical Approximation”, Mat. Zametki, 108:6 (2020), 941–946 ; Math. Notes, 108:6 (2020), 906–910 |
1
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13. |
A. A. Fedotov, E. V. Shchetka, “The Spectrum and Density of States of the Almost Mathieu Operator
with Frequency Represented by a Continued Fraction
with Large Elements”, Mat. Zametki, 107:6 (2020), 948–953 ; Math. Notes, 107:6 (2020), 1040–1045 |
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2019 |
14. |
S. L. Yakovlev, I. V. Andronov, T. A. Suslina, A. A. Fedotov, A. R. Its, A. K. Motovilov, V. G. Farafonov, A. Ya. Kazakov, “To the memory of Sergei Yur'evich Slavyanov”, TMF, 201:2 (2019), 151–152 ; Theoret. and Math. Phys., 201:2 (2019), 1543–1544 |
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2018 |
15. |
A. A. Fedotov, “A Monodromy Matrix for the Almost Mathieu Equation with Small Coupling Constant”, Funktsional. Anal. i Prilozhen., 52:4 (2018), 89–93 ; Funct. Anal. Appl., 52:4 (2018), 311–315 |
5
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16. |
A. A. Fedotov, “Monodromization and Difference Equations with Meromorphic Periodic Coefficients”, Funktsional. Anal. i Prilozhen., 52:1 (2018), 92–97 ; Funct. Anal. Appl., 52:1 (2018), 77–81 |
1
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17. |
A. A. Fedotov, E. V. Shchetka, “Semiclassical Asymptotics of the Spectrum of the Subcritical Harper Operator”, Mat. Zametki, 104:6 (2018), 948–952 ; Math. Notes, 104:6 (2018), 933–938 |
4
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18. |
A. A. Fedotov, “On adiabatic normal modes in a wedge shaped sea”, Zap. Nauchn. Sem. POMI, 471 (2018), 261–285 ; J. Math. Sci. (N. Y.), 243:5 (2019), 808–824 |
2
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2017 |
19. |
A. A. Fedotov, E. V. Shchetka, “Complex WKB method for the difference Schrödinger equation with the potential being a trigonometric polynomial”, Algebra i Analiz, 29:2 (2017), 193–219 ; St. Petersburg Math. J., 29:2 (2018), 363–381 |
20
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20. |
A. A. Fedotov, “On minimal entire solutions of the one-dimensional difference Schrödinger equation with the potential $v(z)=e^{-2\pi iz}$”, Zap. Nauchn. Sem. POMI, 461 (2017), 279–297 ; J. Math. Sci. (N. Y.), 238:5 (2019), 750–761 |
3
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2016 |
21. |
F. Klopp, A. A. Fedotov, “Stark–Wannier ladders and cubic exponential sums”, Funktsional. Anal. i Prilozhen., 50:3 (2016), 81–85 ; Funct. Anal. Appl., 50:3 (2016), 223–236 |
2
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22. |
A. B. Smirnov, A. A. Fedotov, “Adiabatic Evolution Generated by a Schrödinger Operator with Discrete and Continuous Spectra”, Funktsional. Anal. i Prilozhen., 50:1 (2016), 90–93 ; Funct. Anal. Appl., 50:1 (2016), 76–79 |
5
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23. |
A. A. Fedotov, “Quasiclassical asymptotics of Malyuzhinets functions”, Zap. Nauchn. Sem. POMI, 451 (2016), 178–187 ; J. Math. Sci. (N. Y.), 226:6 (2017), 810–816 |
3
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2015 |
24. |
A. A. Fedotov, E. V. Tschetka, “Complex WKB method for difference equations in bounded domains”, Zap. Nauchn. Sem. POMI, 438 (2015), 236–254 ; J. Math. Sci. (N. Y.), 224:1 (2017), 157–169 |
10
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2013 |
25. |
A. A. Fedotov, “Monodromization method in the theory of almost-periodic equations”, Algebra i Analiz, 25:2 (2013), 203–235 ; St. Petersburg Math. J., 25:2 (2014), 303–325 |
25
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26. |
V. M. Babich, A. M. Budylin, L. A. Dmitrieva, A. I. Komech, S. B. Levin, M. V. Perel', E. A. Rybakina, V. V. Sukhanov, A. A. Fedotov, “On the mathematical work of Vladimir Savel'evich Buslaev”, Algebra i Analiz, 25:2 (2013), 3–36 ; St. Petersburg Math. J., 25:2 (2014), 151–174 |
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2010 |
27. |
A. A. Fedotov, “Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator”, Zap. Nauchn. Sem. POMI, 379 (2010), 142–178 ; J. Math. Sci. (N. Y.), 173:3 (2011), 320–339 |
2
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28. |
A. A. Fedotov, “Adiabatic almost-periodic Schrödinger operators”, Zap. Nauchn. Sem. POMI, 379 (2010), 103–141 ; J. Math. Sci. (N. Y.), 173:3 (2011), 299–319 |
3
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1996 |
29. |
V. S. Buslaev, A. A. Fedotov, “The Harper equation: monodromization without quasiclassics”, Algebra i Analiz, 8:2 (1996), 65–97 ; St. Petersburg Math. J., 8:2 (1997), 231–254 |
12
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1995 |
30. |
V. S. Buslaev, A. A. Fedotov, “Bloch solutions for difference equations”, Algebra i Analiz, 7:4 (1995), 74–122 ; St. Petersburg Math. J., 7:4 (1996), 561–594 |
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1994 |
31. |
V. S. Buslaev, A. A. Fedotov, “The complex WKB method for the Harper equation”, Algebra i Analiz, 6:3 (1994), 59–83 ; St. Petersburg Math. J., 6:3 (1995), 495–517 |
27
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2014 |
32. |
V. M. Babich, A. R. Its, V. A. Marchenko, L. A. Pastur, B. A. Plamenevskii, T. A. Suslina, L. D. Faddeev, A. A. Fedotov, N. N. Ural'tseva, “Vladimir Savel'evich Buslaev (obituary)”, Uspekhi Mat. Nauk, 69:1(415) (2014), 163–168 ; Russian Math. Surveys, 69:1 (2014), 153–158 |
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