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  1. 2024

  2. On the point spectrum of a non-self-adjoint quasiperiodic operator

    Борисов, Д. & Федотов, А. А., 1 Sep 2024, In: Russian Journal of Mathematical Physics. 31, 3, p. 389-406 18 p.

    Research output: Contribution to journal › Article › peer-review

  3. ON A SELF-SIMILAR BEHAVIOR OF LOGARITHMIC SUMS

    Федотов, А. А. & Лукашева, И., 1 Aug 2024, In: Journal of Mathematical Sciences (United States). 283, 4, p. 690-698 9 p.

    Research output: Contribution to journal › Article › peer-review

  4. On Monodromy Matrices for a Difference Schrödinger Equation on the Real Line with a Small Periodic Potential

    Федотов, А. А. & Седов, К. С., 1 Aug 2024, In: Journal of Mathematical Sciences (United States). 283, 4, p. 650-664 15 p.

    Research output: Contribution to journal › Article › peer-review

  5. В. А. Фок: к 125-летию со дня рождения

    Тулуб, А. В., Шейкин, А. А., Трифонов, Е. Д., Федотов, А. А. & Шабаев, В. М., 8 May 2024, In: ТЕОРЕТИЧЕСКАЯ И МАТЕМАТИЧЕСКАЯ ФИЗИКА. 220, 3, p. 407-414

    Research output: Contribution to journal › Short survey

  6. Adiabatic evolution generated by a one-dimensional Schrodinger operator with decreasing number of eigenvalues

    Федотов, А. А., 2024, (Accepted/In press) In: Mathematical Notes. 116, 4, p. 804-830 30 p.

    Research output: Contribution to journal › Article › peer-review

  7. A SERIES OF SPECTRAL GAPS FOR THE ALMOST MATHIEU OPERATOR WITH A SMALL COUPLING CONSTANT

    Федотов, А. А., 2024, In: Mathematical Notes. 116, 5, p. 1100-1143 44 p.

    Research output: Contribution to journal › Article › peer-review

  8. A SERIES OF SPECTRAL GAPS FOR THE GANESHAN-PIXLY-DAS SARMA MODEL

    Федотов, А. А. & Седов, К. С., 2024, (Accepted/In press) In: Russian Journal of Mathematical Physics. 31, 4

    Research output: Contribution to journal › Article › peer-review

  9. Resonances and scattering by a periodic structure

    Федотов, А. А. & Борисов, Д., 2024, (Accepted/In press) In: Russian Journal of Mathematical Physics.

    Research output: Contribution to journal › Article › peer-review

  10. О поверхностной волне, возникающей после делокализации квантовой частицы при адиабатической эволюции

    Федотов, А. А. & Сергеев, В. А., 2024, In: АЛГЕБРА И АНАЛИЗ. 36, 1, p. 204-233

    Research output: Contribution to journal › Article › peer-review

  11. 2023

  12. Monodromization and a $$ \mathcal{P} \mathcal{T} $$-Symmetric Nonself-Adjoint Quasi-Periodic Operator

    Федотов, А. А. & Борисов, Д., 1 Sep 2023, In: Russian Journal of Mathematical Physics. 30, 3, p. 294-309 16 p.

    Research output: Contribution to journal › Article › peer-review

  13. Close Turning Points and the Harper Operator

    Федотов, А. А., 1 Jun 2023, In: Mathematical Notes. 113, 5-6, p. 741-746 6 p.

    Research output: Contribution to journal › Article › peer-review

  14. Complex WKB method (one-dimensional linear problems in the complex plane)

    Федотов, А. А., 2023, In: Mathematical Notes. 114, 6, p. 1418-1479

    Research output: Contribution to journal › Article › peer-review

  15. Близкие точки поворота и оператор Харпера

    Федотов, А. А., 2023, In: МАТЕМАТИЧЕСКИЕ ЗАМЕТКИ. 113, 5, p. 785-790 6 p.

    Research output: Contribution to journal › Article › peer-review

  16. 2022

  17. Об отсутствии собственных значений у разностного оператора Шредингера на оси с периодическим потенциалом

    Федотов, А. А., 1 Dec 2022, In: ТЕОРЕТИЧЕСКАЯ И МАТЕМАТИЧЕСКАЯ ФИЗИКА. 213, 3, p. 450-458

    Research output: Contribution to journal › Article › peer-review

  18. О делокализации квантовой частицы при адиабатической эволюции, порожденной одномерным оператором Шредингера

    Федотов, А. А. & Сергеев, В. А., Nov 2022, In: МАТЕМАТИЧЕСКИЕ ЗАМЕТКИ. 112, 5, p. 752–769 18 p.

    Research output: Contribution to journal › Article › peer-review

  19. COMPLEX WKB METHOD FOR A SYSTEM OF TWO LINEAR DIFFERENCE EQUATIONS

    Fedotov, A. A., 4 Mar 2022, In: St. Petersburg Mathematical Journal. 33, 2, p. 405-425 21 p.

    Research output: Contribution to journal › Article › peer-review

  20. On Bloch Solutions of Difference Schrodinger Equations

    Федотов, А. А. & Борисов, Д., 2022, In: Functional Analysis and its Applications. 56, 4, p. 239-250

    Research output: Contribution to journal › Article › peer-review

  21. ON THE ABSENCE OF EIGENVALUES OF THE DIFFERENCE SCHRODINGER OPERATOR ON A LINE WITH A PERIODIC POTENTIAL

    Федотов, А. А., 2022, In: Theoretical and Mathematical Physics. 213, 3, p. 1698-1705

    Research output: Contribution to journal › Article › peer-review

  22. On the absence of eigenvalues of the difference Schrödinger operator on a line with a periodic potential

    Федотов, А. А., 2022, In: Theoretical and Mathematical Physics(Russian Federation). 213, 3, p. 1698-1705

    Research output: Contribution to journal › Article › peer-review

  23. On the Delocalization of a Quantum Particle under the Adiabatic Evolution Generated by a One-Dimensional Schrödinger Operator

    Sergeev, V. A. & Fedotov, A. A., 2022, In: Mathematical Notes. 112, 5-6, p. 726-740

    Research output: Contribution to journal › Article › peer-review

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