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2026 |
| 1. |
A. A. Glutsyuk, Yu. S. Ilyashenko, “Uniqueness theorem for completely non-degenerate $B$-groups”, Izv. RAN. Ser. matem., 90:1 (2026), 73–89 ; |
| 2. |
Alexey A. Glutsyuk, “On Complex Algebraic Caustics in Planar and Projective Billiards”, Regul. Chaotic Dyn., 31:1 (2026), 132–149 ; |
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2025 |
| 3. |
A. A. Glutsyuk, Yu. L. Sachkov, “Sub-Riemannian geodesics on the 3-dimensional Heisenberg nilmanifold”, Russian Math. Surveys, 80:1 (2025), 144–146 |
| 4. |
A. A. Glutsyuk, V. S. Matveev, “Esli billiard Minkovskogo yavlyaetsya proektivnym, to on est standartnyi billiard”, Matem. sb., 216:5 (2025), 64–82 ;
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1
[x]
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| 5. |
T. Bakiev, A. I. Bufetov, V. A. Vassiliev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetski, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanski, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, H. Hedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “On the 80th birthday of Yulij Sergeevich Ilyashenko”, Russian Math. Surveys, 80:2 (2025), 345–357 |
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2024 |
| 6. |
Alexey A. Glutsyuk, “Extended Model of Josephson Junction, Linear Systems with Polynomial Solutions, Determinantal Surfaces, and Painlevé III Equations”, Proc. Steklov Inst. Math., 326 (2024), 90–132 |
| 7. |
Alexey A. Glutsyuk, “On Hamiltonian Projective Billiards on Boundaries of Products of Convex Bodies”, Proc. Steklov Inst. Math., 327 (2024), 37–54 |
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2023 |
| 8. |
Alexey Glutsyuk, “On germs of constriction curves in model of overdamped Josephson junction, dynamical isomonodromic foliation and Painlevé 3 equation”, Mosc. Math. J., 23:4 (2023), 479–513 ;
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3
[x]
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2021 |
| 9. |
A.A.Glutsyuk, “On polynomially integrable Birkhoff billiards on surfaces of constant curvature”, J. Eur. Math. Society, 23:3 (2021), 994–1049 https://ems.press/journals/jems/articles/17316, arXiv: 1706.04030
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23
[x]
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| 10. |
A. A. Glutsyuk, I. V. Izmestiev, S. L. Tabachnikov, “Four equivalent properties of integrable billiards”, Israel Journal of Mathematics, 241 (2021), 693–719, arXiv: 1909.09028
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5
[x]
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| 11. |
Yu. P. Bibilo, A. A. Glutsyuk, “On families of constrictions in the model of an overdamped Josephson junction”, Russian Math. Surveys, 76:2 (2021), 360–362 |
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2020 |
| 12. |
A.A.Glutsyuk, “On commuting billiards in higher-dimensional spaces of constant curvature”, Pacific J. Math., 305:2 (2020), 577–595, arXiv: 1807.10567
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3
[x]
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| 13. |
A.A.Glutsyuk, I. V. Netay, “On spectral curves and complexified boundaries of phase-lock areas in a model of Josephson junction”, J. Dyn. Control Systems, 26 (2020), 785–820, arXiv: https://arxiv.org/abs/1908.08491
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3
[x]
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| 14. |
A. V. Borisov, I. A. Dynnikov, A. A. Glutsyuk, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The conference “Dynamics in Siberia”, Novosibirsk, February 24–29, 2020”, Sib. elektron. matem. izv., 17 (2020), 68–96 |
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2019 |
| 15. |
A. A. Glutsyuk, “On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation”, J. Dyn. Control Systems, 25:3 (2019), 323–349, arXiv: 1805.02624 ;
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9
[x]
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| 16. |
V. M. Buchstaber, A. A. Glutsyuk, “Total positivity, Grassmannian and modified Bessel functions”, Functional Analysis and Geometry: Selim Grigorievich Krein Centennial, Contemp. Math., 733, AMS, 2019, 97–107
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5
[x]
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| 17. |
E. Bakaev, A. Glutsyuk, S. Dorichenko, A. Zaslavskii, P. Kozhevnikov, L. Mednikov, V. Novikov, V. Retinskii, A. Ryabichev, E. Rjabov, A. Semenov, M. Skopenkov, I. Frolov, A. Shapovalov, Kvant, 2019, no. 12, 34–35 |
| 18. |
A. Bufetov, A. Glutsyuk, N. Goncharuk, S. Gusein-Zade, Yu. Kudryashov, S. Lando, A. Sosinskii, V. Timorin, M. Tsfasman, “Yuliyu Sergeevichu Ilyashenko — 75”, Mosc. Math. J., 19:2 (2019), 185–188 |
| 19. |
I. A. Dynnikov, A. A. Glutsyuk, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The Conference “Dynamics in Siberia”, Novosibirsk, February 25 – March 2, 2019”, Sib. elektron. matem. izv., 16 (2019), 16–39 |
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2018 |
| 20. |
A.A.Glutsyuk; E.I.Shustin, “On polynomially integrable planar outer billiards and curves with symmetry property”, Math. Annalen, 372 (2018), 1481–1501, arXiv: 1607.07593
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7
[x]
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| 21. |
A. A. Glutsyuk, “On two-dimensional polynomially integrable billiards on surfaces of constant curvature”, Doklady Mathematics, 98:1 (2018), 382–385 |
| 22. |
A. A. Glutsyuk, S. Ramassamy, “A first integrability result for Miquel dynamics”, J. Geom. and Physics, 130 (2018), 121–129, arXiv: 1801.01082
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2
[x]
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| 23. |
I. A. Dynnikov, A. A. Glutsyuk, G. N. Kulipanov, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The Conference «Dynamics in Siberia» dedicated to the 90th anniversary of B. V. Chirikov, Novosibirsk, February 26–March 4, 2018”, Sib. elektron. matem. izv., 15 (2018), 10–38 |
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2017 |
| 24. |
A. A. Glutsyuk, L. G. Rybnikov, “On families of differential equations on two-torus with all phase-lock areas”, Nonlinearity, 30 (2017), 61–72, arXiv: 1505.06975
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5
[x]
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| 25. |
A. A. Glutsyuk, “On 4-reflective complex analytic planar billiards”, J. Geom Analysis, 27:1 (2017), 183–238, arXiv: 1405.5990
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9
[x]
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| 26. |
V. M. Buchstaber, A. A. Glutsyuk, “On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect”, Proc. Steklov Inst. Math., 297 (2017), 50–89 |
| 27. |
I. A. Dynnikov, A. A. Glutsyuk, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The conference “Dynamics in Siberia”, Novosibirsk, February 26–March 4, 2017”, Sib. elektron. matem. izv., 14 (2017), 7–30 |
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2016 |
| 28. |
V. M. Buchstaber, A A Glutsyuk, “On determinants of modified Bessel functions and entire solutions of double confluent Heun equations”, Nonlinearity, 29 (2016), 3857–3870, arXiv: 1509.01725
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10
[x]
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2014 |
| 29. |
A. A. Glutsyuk, “On odd-periodic orbits in complex planar billiards”, J. Dyn. Control Systems, 20:3 (2014), 293–306
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9
[x]
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| 30. |
A. A. Glutsyuk, V. A. Kleptsyn, D. A. Filimonov, I. V. Shchurov, “On the Adjacency Quantization in an Equation Modeling the Josephson Effect”, Funct. Anal. Appl., 48:4 (2014), 272–285 |
| 31. |
Alexey Glutsyuk, “On quadrilateral orbits in complex algebraic planar billiards”, Mosc. Math. J., 14:2 (2014), 239–289
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16
[x]
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| 32. |
A. I. Bufetov, A. A. Glutsyuk, S. M. Gusein-Zade, A. S. Gorodetski, V. Yu. Kaloshin, A. G. Khovanskii, V. A. Kleptsyn, S. Yu. Nemirovskii, A. B. Sossinsky, M. A. Tsfasman, V. A. Vassiliev, S. Yu. Yakovenko, “Yulij Sergeevich Ilyashenko”, Mosc. Math. J., 14:2 (2014), 173–179 |
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2012 |
| 33. |
A. A. Glutsyuk, Yu. G. Kudryashov, “No planar billiard possesses an open set of quadrilateral trajectories”, Journal of Modern Dynamics, 6:3 (2012), 287–326
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12
[x]
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2011 |
| 34. |
A. A. Glutsyuk, Yu. G. Kudryashov, “On quadrilateral orbits in planar billiards”, Doklady Mathematics, 83:3 (2011), 371–373 |
| 35. |
A. A. Glutsyuk, “Instability of nondiscrete free subgroups in Lie groups”, Transformations groups, 16:2 (2011), 413–479, arXiv: math/0409556v4
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3
[x]
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2010 |
| 36. |
A. A. Glutsyuk, C. Sabot, “Stokes matrices of hypergeometric integrals”, Annales de l'Institut Fourier, 60:1 (2010), 291–317, arXiv: 0712.1707 |
| 37. |
A. Glutsyuk, “On density of horospheres in dynamical laminations”, Mosc. Math. J., 10:3 (2010), 547–591
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1
[x]
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| 38. |
A. A. Glutsyuk, “Unique ergodicity of horospheric foliations revisited”, Journal of fixed point theory and its applications, 8, The Steve Smale Festschrift:1 (2010), 113–149 |
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2007 |
| 39. |
A. A. Glutsyuk, Yu. S. Ilyashenko, “Restricted version of the infinitesimal Hilbert 16th problem”, Mosc. Math. J., 7:2 (2007), 281–325
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4
[x]
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2006 |
| 40. |
A. A. Glutsyuk; Yu. S. Ilyashenko, “Restricted infinitesimal Hilbert sixteenths problem”, Doklady Mathematics, 73:2 (2006), 185–189 |
| 41. |
A. A. Glutsyuk, “An explicit formula for period determinant”, Ann. Inst. Fourier, 56:4 (2006), 887–917
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2
[x]
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2005 |
| 42. |
A. A. Glutsyuk, “Upper bounds of topology of complex polynomials in two variables”, Mosc. Math. J., 5:4 (2005), 781–828
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4
[x]
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| 43. |
A. A. Glutsyuk, “On the monodromy group of confluent linear equations”, Mosc. Math. J., 5:1 (2005), 67–90
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2
[x]
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| 44. |
A. A. Glutsyuk, “On convergence of generalized continued fractions and Ramanujan conjecture”, C. R. Math. Acad. Sci. Paris, 341:7 (2005), 427–432, arXiv: math/0412445
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1
[x]
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| 45. |
D. V. Anosov, V. I. Arnol'd, A. A. Glutsyuk, A. S. Gorodetski, V. Y. Kaloshin, A. B. Katok, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, S. Yu. Yakovenko, “Yulij S. Ilyashenko”, Mosc. Math. J., 5:1 (2005), 3–4 |
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2004 |
| 46. |
A. A. Glutsyuk, “Simultaneous metric uniformization of foliations by Riemann surfaces”, Commentarii Mathematici Helvetici, 79:4 (2004), 704–752 |
| 47. |
A. A. Glutsyuk, “Resonant confluence of singular points and Stokes phenomena”, Journal of Dynamical and Control Systems, 10:2 (2004), 253–302
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8
[x]
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2002 |
| 48. |
A. A. Glutsyuk, “On simultaneous uniformization and local nonuniformizability”, C.R. Acad. Sci. Paris, Série 1 Math., 334 (2002), 489–494
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6
[x]
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2001 |
| 49. |
A. A. Glutsyuk, “Nonuniformizable skew cylinders: a counterexample to the simultaneous uniformization problem”, C.R. Acad. Sci. Paris, Série 1 Math., 332 (2001), 209–214, arXiv: math/0001047
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7
[x]
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| 50. |
A. A. Glutsyuk, “Confluence of singular points and the nonlinear Stokes Phenomena”, Transactions of Moscow Mathematical Society, 62 (2001), 49–95 |
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2000 |
| 51. |
A. A. Glutsyuk, “On the codimension of the set of one-dimensional polynomial foliations on $\mathbb{C}^ n$ and $\mathbb{CP}^n$ that do not satisfy a sufficient condition for the hyperbolicity of leaves”, St. Petersburg Math. J., 11:4 (2000), 567–587 |
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1999 |
| 52. |
A. A. Glutsuk, “Stokes operators via limit monodromy of generic perturbation”, Journal of Dynamical and Control Systems, 5:1 (1999), 101–135 https://link.springer.com/article/10.1023/A:1021744801409
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14
[x]
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1998 |
| 53. |
A. A. Glutsyuk, “Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane”, Math. Notes, 64:5 (1998), 579–589 |
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1996 |
| 54. |
A. A. Glutsyuk, “Hyperbolicity of the leaves of a generic one-dimensional holomorphic foliation on a nonsingular projective algebraic variety”, Proc. Steklov Inst. Math., 213 (1996), 83–103 |
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1995 |
| 55. |
A. A. Glutsyuk, “Asymptotic Stability of Linearizations of a Planar Vector Field with a Singular Point Implies Global Stability”, Funct. Anal. Appl., 29:4 (1995), 238–247 |
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1994 |
| 56. |
A. A. Glutsyuk, “The Hyperbolicity of Phase Curves of a Generic Polynomial Vector Field in $\mathbb{C}^n$”, Funct. Anal. Appl., 28:2 (1994), 77–84 |
| 57. |
A. A. Glutsyuk, “A complete solution of the Jacobian problem for vector fields on the plane”, Russian Math. Surveys, 49:3 (1994), 185–186 |
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1993 |
| 58. |
A. A. Glutsyuk, “An analogue of Cayley's theorem for cyclic symmetric connected graphs with one cycle connected with generalized Lyashko–Looijenga covers”, Russian Math. Surveys, 48:2 (1993), 182–183 |
| 59. |
A. A. Glutsyuk, “An analogue of Cayley's theorem for cyclically symmetric connected graphs with a single cycle that are associated with generalized Lyashko–Looijenga covers”, Russian Math. Surveys, 48:4 (1993), 247–248 |
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