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  1. 2024

  2. Two-dimensional discrete operators and rational functions on algebraic curves

    Leonchik, P. A. & Mironov, A. E., Dec 2024, In: Sao Paulo Journal of Mathematical Sciences. 18, 2, p. 855-865 11 p.

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

  3. On Differential Equations of Integrable Billiard Tables

    Dragović, V. & Mironov, A. E., Jan 2024, In: Acta Mathematica Sinica, English Series. 40, 1, p. 417-424 8 p.

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

  4. 2023

  5. Orthogonal Curvilinear Coordinate Systems and Torsion-Free Sheaves over Reducible Spectral Curves

    Mironov, A. E., Senninger, A. & Taimanov, I. A., Oct 2023, In: Mathematical Notes. 114, 3-4, p. 573-582 10 p.

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

  6. One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators

    Mauleshova, G. S. & Mironov, A. E., Aug 2023, In: Doklady Mathematics. 108, 1, p. 312-315 4 p., 13.

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

  7. 2022

  8. The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables

    Bialy, M. & Mironov, A. E., Jul 2022, In: Annals of Mathematics. 196, 1, p. 389-413 25 p.

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

  9. 2021

  10. Outer Billiards with the Dynamics of a Standard Shift on a Finite Number of Invariant Curves

    Bialy, M., Mironov, A. E. & Shalom, L., 2021, In: Experimental Mathematics. 30, 4, p. 469-474 6 p.

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

  11. 2020

  12. Discretization of Commuting Ordinary Differential Operators of Rank 2 in the Case of Elliptic Spectral Curves

    Mauleshova, G. S. & Mironov, A. E., Sept 2020, In: Proceedings of the Steklov Institute of Mathematics. 310, 1, p. 202-213 12 p.

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

  13. Wire billiards, the first steps

    Bialy, M., Mironov, A. E. & Tabachnikov, S., 15 Jul 2020, In: Advances in Mathematics. 368, 27 p., 107154.

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

  14. Periodic one-point rank one commuting difference operators

    Dobrogowska, A. & Mironov, A. E., 2020, Trends in Mathematics. Springer, p. 67-74 8 p. (Trends in Mathematics).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

  15. Positive One-Point Commuting Difference Operators

    Mauleshova, G. S. & Mironov, A. E., 2020, INTEGRABLE SYSTEMS AND ALGEBRAIC GEOMETRY: A CELEBRATION OF EMMA PREVIATO'S 65TH BIRTHDAY, VOL 1. Donagi, R. & Shaska, T. (eds.). Cambrige University Press, p. 395-412 18 p. (London Mathematical Society Lecture Note Series; vol. 458).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

  16. 2019

  17. Difference Krichever—Novikov Operators of Rank 2

    Mauleshova, G. S. & Mironov, A. E., 1 May 2019, In: Proceedings of the Steklov Institute of Mathematics. 305, 1, p. 195-208 14 p.

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

  18. Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane

    Bialy, M. & Mironov, A. E., 16 Jan 2019, In: Russian Mathematical Surveys. 74, 2, p. 187-209 23 p., 1.

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

  19. On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface

    Abdikalikova, G. & Mironov, A. E., 1 Jan 2019, In: Сибирские электронные математические известия. 16, p. 949-954 6 p.

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

  20. On rank two algebro-geometric solutions of an integrable chain

    Mironov, A. E. & Mauleshova, G. S., 1 Jan 2019, Trends in Mathematics. Springer International Publishing AG, p. 189-195 7 p. (Trends in Mathematics).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

  21. 2018

  22. A survey on polynomial in momenta integrals for billiard problems

    Bialy, M. & Mironov, A. E., 17 Sept 2018, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376, 2131, 19 p., 20170418.

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

  23. An energy functional for Lagrangian tori in CP2

    Ma, H., Mironov, A. E. & Zuo, D., 1 Jun 2018, In: Annals of Global Analysis and Geometry. 53, 4, p. 583-595 13 p.

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

  24. One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schrödinger Operators

    Mauleshova, G. S. & Mironov, A. E., 1 Jan 2018, In: Doklady Mathematics. 97, 1, p. 62-64 3 p.

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

  25. 2017

  26. In search of periodic solutions for a reduction of the Benney chain

    Bialy, M. & Mironov, A. E., 1 Nov 2017, In: Journal of Mathematical Physics. 58, 11, 9 p., 112701.

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

  27. Angular billiard and algebraic Birkhoff conjecture

    Bialy, M. & Mironov, A. E., 20 Jun 2017, In: Advances in Mathematics. 313, p. 102-126 25 p.

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

  28. On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two

    Davletshina, V. N. & Mironov, A. E., 2017, In: Bulletin of the Korean Mathematical Society. 54, 5, p. 1669-1675 7 p.

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

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