Fedotov Aleksandr Aleksandrovich

Publications in Math-Net.Ru

1. On the surface wave arising after the delocalization of a quantum particle during adiabatic evolution
   
   Algebra i Analiz, 36:1 (2024),  204–233
2. A series of spectral gaps for the almost Mathieu operator with a small coupling constant
   
   Mat. Zametki, 116:5 (2024),  1100–1143
3. Adiabatic evolution generated by a one-dimensional Schrödinger operator with decreasing number of eigenvalues
   
   Mat. Zametki, 116:4 (2024),  804–830
4. On the 125th anniversary of V. A. Fock
   
   TMF, 220:3 (2024),  407–414
5. Complex WKB Method (One-Dimensional Linear Problems the Complex Plane)
   
   Mat. Zametki, 114:6 (2023),  1418–1479
6. Close Turning Points and the Harper Operator
   
   Mat. Zametki, 113:5 (2023),  785–790
7. On Bloch solutions of difference equations
   
   Funktsional. Anal. i Prilozhen., 56:4 (2022),  3–16
8. 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
9. On the absence of eigenvalues of the difference Schrödinger operator on a line with a periodic potential
   
   TMF, 213:3 (2022),  450–458
10. The complex WKB method for a system of two linear difference equations
    
    Algebra i Analiz, 33:2 (2021),  298–326
11. On the spectrum of a non-self-adjoint quasiperiodic operator
    
    Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021),  16–21
12. Semiclassical Asymptotics for a Difference Schrödinger Equation with Two Coalescent Turning Points
    
    Mat. Zametki, 109:6 (2021),  948–953
13. On a self-similar behavior of logarithmic sums
    
    Zap. Nauchn. Sem. POMI, 506 (2021),  279–292
14. 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
15. On the Hierarchical Behavior of Solutions of the Maryland Equation in the Semiclassical Approximation
    
    Mat. Zametki, 108:6 (2020),  941–946
16. 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
17. To the memory of Sergei Yur'evich Slavyanov
    
    TMF, 201:2 (2019),  151–152
18. A Monodromy Matrix for the Almost Mathieu Equation with Small Coupling Constant
    
    Funktsional. Anal. i Prilozhen., 52:4 (2018),  89–93
19. Monodromization and Difference Equations with Meromorphic Periodic Coefficients
    
    Funktsional. Anal. i Prilozhen., 52:1 (2018),  92–97
20. Semiclassical Asymptotics of the Spectrum of the Subcritical Harper Operator
    
    Mat. Zametki, 104:6 (2018),  948–952
21. On adiabatic normal modes in a wedge shaped sea
    
    Zap. Nauchn. Sem. POMI, 471 (2018),  261–285
22. Complex WKB method for the difference Schrödinger equation with the potential being a trigonometric polynomial
    
    Algebra i Analiz, 29:2 (2017),  193–219
23. 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
24. Stark–Wannier ladders and cubic exponential sums
    
    Funktsional. Anal. i Prilozhen., 50:3 (2016),  81–85
25. Adiabatic Evolution Generated by a Schrödinger Operator with Discrete and Continuous Spectra
    
    Funktsional. Anal. i Prilozhen., 50:1 (2016),  90–93
26. Quasiclassical asymptotics of Malyuzhinets functions
    
    Zap. Nauchn. Sem. POMI, 451 (2016),  178–187
27. Complex WKB method for difference equations in bounded domains
    
    Zap. Nauchn. Sem. POMI, 438 (2015),  236–254
28. Monodromization method in the theory of almost-periodic equations
    
    Algebra i Analiz, 25:2 (2013),  203–235
29. On the mathematical work of Vladimir Savel'evich Buslaev
    
    Algebra i Analiz, 25:2 (2013),  3–36
30. Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator
    
    Zap. Nauchn. Sem. POMI, 379 (2010),  142–178
31. Adiabatic almost-periodic Schrödinger operators
    
    Zap. Nauchn. Sem. POMI, 379 (2010),  103–141
32. The Harper equation: monodromization without quasiclassics
    
    Algebra i Analiz, 8:2 (1996),  65–97
33. Bloch solutions for difference equations
    
    Algebra i Analiz, 7:4 (1995),  74–122
34. The complex WKB method for the Harper equation
    
    Algebra i Analiz, 6:3 (1994),  59–83


35. Vladimir Savel'evich Buslaev (obituary)
    
    Uspekhi Mat. Nauk, 69:1(415) (2014),  163–168