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Fedotov, Aleksandr Aleksandrovich
Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person27984
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
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  mathnet
2. A. A. Fedotov, “Adiabatic evolution generated by a one-dimensional Schrödinger operator with decreasing number of eigenvalues”, Math. Notes, 116:4 (2024), 804–830  mathnet
3. A. V. Tulub, A. A. Sheikin, E. D. Trifonov, A. A. Fedotov, V. M. Shabaev, “On the 125th anniversary of V. A. Fock”, TMF, 220:3 (2024),  407–414  mathnet  mathscinet
2023
4. A. A. Fedotov, “Complex WKB Method (One-Dimensional Linear Problems the Complex Plane)”, Math. Notes, 114:6 (2023), 1418–1479  mathnet  scopus
5. A. A. Fedotov, “Close Turning Points and the Harper Operator”, Mat. Zametki, 113:5 (2023),  785–790  mathnet  mathscinet; Math. Notes, 113:5 (2023), 741–746  scopus
2022
6. D. I. Borisov, A. A. Fedotov, “On Bloch solutions of difference equations”, Funktsional. Anal. i Prilozhen., 56:4 (2022),  3–16  mathnet  mathscinet; Funct. Anal. Appl., 56:4 (2022), 239–250  scopus 4
7. 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  mathnet  mathscinet; Math. Notes, 112:5 (2022), 726–740  scopus 2
8. 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  mathnet  mathscinet; Theoret. and Math. Phys., 213:3 (2022), 1698–1705  scopus
2021
9. A. A. Fedotov, “The complex WKB method for a system of two linear difference equations”, Algebra i Analiz, 33:2 (2021),  298–326  mathnet; St. Petersburg Math. J., 33:2 (2022), 405–425 1
10. 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  mathnet  zmath; Dokl. Math., 104:3 (2021), 326–331  scopus 4
11. A. A. Fedotov, “Semiclassical Asymptotics for a Difference Schrödinger Equation with Two Coalescent Turning Points”, Mat. Zametki, 109:6 (2021),  948–953  mathnet  elib; Math. Notes, 109:6 (2021), 990–994  isi  scopus 2
12. A. A. Fedotov, I. I. Lukashova, “On a self-similar behavior of logarithmic sums”, Zap. Nauchn. Sem. POMI, 506 (2021),  279–292  mathnet
13. 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  mathnet
2020
14. 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  mathnet  elib; Math. Notes, 108:6 (2020), 906–910  isi  scopus 1
15. 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  mathnet  mathscinet  elib; Math. Notes, 107:6 (2020), 1040–1045  isi  scopus 3
2019
16. 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  mathnet  mathscinet; Theoret. and Math. Phys., 201:2 (2019), 1543–1544  isi
2018
17. A. A. Fedotov, “A Monodromy Matrix for the Almost Mathieu Equation with Small Coupling Constant”, Funktsional. Anal. i Prilozhen., 52:4 (2018),  89–93  mathnet  mathscinet  elib; Funct. Anal. Appl., 52:4 (2018), 311–315  isi  scopus 7
18. A. A. Fedotov, “Monodromization and Difference Equations with Meromorphic Periodic Coefficients”, Funktsional. Anal. i Prilozhen., 52:1 (2018),  92–97  mathnet  mathscinet  elib; Funct. Anal. Appl., 52:1 (2018), 77–81  isi  scopus 2
19. A. A. Fedotov, E. V. Shchetka, “Semiclassical Asymptotics of the Spectrum of the Subcritical Harper Operator”, Mat. Zametki, 104:6 (2018),  948–952  mathnet  mathscinet  elib; Math. Notes, 104:6 (2018), 933–938  isi  scopus 4
20. A. A. Fedotov, “On adiabatic normal modes in a wedge shaped sea”, Zap. Nauchn. Sem. POMI, 471 (2018),  261–285  mathnet; J. Math. Sci. (N. Y.), 243:5 (2019), 808–824  scopus 2
2017
21. 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  mathnet  elib; St. Petersburg Math. J., 29:2 (2018), 363–381  isi  scopus 20
22. 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  mathnet; J. Math. Sci. (N. Y.), 238:5 (2019), 750–761 3
2016
23. F. Klopp, A. A. Fedotov, “Stark–Wannier ladders and cubic exponential sums”, Funktsional. Anal. i Prilozhen., 50:3 (2016),  81–85  mathnet  mathscinet  elib; Funct. Anal. Appl., 50:3 (2016), 223–236  isi  scopus 2
24. 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  mathnet  mathscinet  elib; Funct. Anal. Appl., 50:1 (2016), 76–79  isi  scopus 5
25. A. A. Fedotov, “Quasiclassical asymptotics of Malyuzhinets functions”, Zap. Nauchn. Sem. POMI, 451 (2016),  178–187  mathnet  mathscinet; J. Math. Sci. (N. Y.), 226:6 (2017), 810–816  scopus 5
2015
26. A. A. Fedotov, E. V. Tschetka, “Complex WKB method for difference equations in bounded domains”, Zap. Nauchn. Sem. POMI, 438 (2015),  236–254  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:1 (2017), 157–169 10
2013
27. A. A. Fedotov, “Monodromization method in the theory of almost-periodic equations”, Algebra i Analiz, 25:2 (2013),  203–235  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:2 (2014), 303–325  isi  scopus 27
28. 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  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:2 (2014), 151–174  isi  scopus
2010
29. A. A. Fedotov, “Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator”, Zap. Nauchn. Sem. POMI, 379 (2010),  142–178  mathnet; J. Math. Sci. (N. Y.), 173:3 (2011), 320–339  scopus 2
30. A. A. Fedotov, “Adiabatic almost-periodic Schrödinger operators”, Zap. Nauchn. Sem. POMI, 379 (2010),  103–141  mathnet; J. Math. Sci. (N. Y.), 173:3 (2011), 299–319  scopus 3
1996
31. V. S. Buslaev, A. A. Fedotov, “The Harper equation: monodromization without quasiclassics”, Algebra i Analiz, 8:2 (1996),  65–97  mathnet  mathscinet  zmath; St. Petersburg Math. J., 8:2 (1997), 231–254 12
1995
32. V. S. Buslaev, A. A. Fedotov, “Bloch solutions for difference equations”, Algebra i Analiz, 7:4 (1995),  74–122  mathnet  mathscinet  zmath; St. Petersburg Math. J., 7:4 (1996), 561–594 14
1994
33. V. S. Buslaev, A. A. Fedotov, “The complex WKB method for the Harper equation”, Algebra i Analiz, 6:3 (1994),  59–83  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:3 (1995), 495–517 27
2014
34. 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  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:1 (2014), 153–158  isi

Presentations in Math-Net.Ru
1. On the spectrum of a PT-symmetric almost periodic operator
A. A. Fedotov
V. I. Smirnov Seminar on Mathematical Physics
February 27, 2023 15:00
2. О типичном росте гауссовых экспоненциальных сумм
A. A. Fedotov
Dobrushin Mathematics Laboratory Seminar
December 6, 2022 16:00
3. Перенормировки: гауссовы экспоненциальные суммы и почти периодические операторы
A. A. Fedotov

November 9, 2022 15:00
4. On evolution generated by a one-dimensional Schrödinger with a potential slowly depending on time and having both discrete and continuous spectrum
A. A. Fedotov

August 12, 2021 17:05
5. n-Hierarchical Behavior of Solutions to the Maryland Equation in the Semiclassical Approximation
A. A. Fedotov
Joint Mathematical seminar of Saint Petersburg State University and Peking University
December 17, 2020 15:00
6. On the hierarchical behavior at infinity of solutions of the Maryland equation in the quasi-classical approximation
A. A. Fedotov
V. I. Smirnov Seminar on Mathematical Physics
September 7, 2020 16:30   
7. Резонансы Штарка-Ванье и кубические экспоненциальные суммы
(по совместной работе с Фредериком Клоппом)
A. A. Fedotov
Seminar of Chebyshev Laboratory on Probability Theory
November 13, 2015 16:15
8. On the typical growth of Gaussian exponential sums
A. A. Fedotov
Seminar on Probability Theory and Mathematical Statistics
April 22, 2011 18:00

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