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Glutsyuk Alexey Antonovich

Publications


| scientific publications | by years | by types | by times cited | common list |



   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  mathnet  crossref  mathscinet  adsnasa  isi;  crossref  mathscinet  isi  scopus
2. Alexey A. Glutsyuk, “On Complex Algebraic Caustics in Planar and Projective Billiards”, Regul. Chaotic Dyn., 31:1 (2026), 132–149  mathnet  crossref;

   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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
4. A. A. Glutsyuk, V. S. Matveev, “Esli billiard Minkovskogo yavlyaetsya proektivnym, to on est standartnyi billiard”, Matem. sb., 216:5 (2025), 64–82  mathnet  crossref  mathscinet  adsnasa  isi;  crossref  mathscinet  isi  scopus 1
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  mathnet  crossref  crossref  mathscinet  adsnasa  isi

   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  mathnet  crossref  crossref  isi  scopus
7. Alexey A. Glutsyuk, “On Hamiltonian Projective Billiards on Boundaries of Products of Convex Bodies”, Proc. Steklov Inst. Math., 327 (2024), 37–54  mathnet  crossref  crossref  isi  scopus

   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  mathnet  crossref; 3

   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  crossref  isi 23
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  crossref  mathscinet  isi  scopus 5
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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   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  crossref  mathscinet  isi  scopus 3
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  crossref  mathscinet  isi  scopus 3
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  mathnet  crossref  isi  scopus

   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  crossref  mathscinet  isi  scopus; 9
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  mathnet  crossref  isi  scopus 5
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  mathnet
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  mathnet  crossref  mathscinet  isi  scopus
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  mathnet  crossref

   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  crossref  mathscinet  isi  scopus 7
21. A. A. Glutsyuk, “On two-dimensional polynomially integrable billiards on surfaces of constant curvature”, Doklady Mathematics, 98:1 (2018), 382–385  crossref  crossref  isi  scopus
22. A. A. Glutsyuk, S. Ramassamy, “A first integrability result for Miquel dynamics”, J. Geom. and Physics, 130 (2018), 121–129, arXiv: 1801.01082  crossref  mathscinet  adsnasa  isi  scopus 2
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  mathnet  crossref  mathscinet  isi  scopus

   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  crossref  mathscinet  adsnasa  isi  elib  scopus 5
25. A. A. Glutsyuk, “On 4-reflective complex analytic planar billiards”, J. Geom Analysis, 27:1 (2017), 183–238, arXiv: 1405.5990  crossref  mathscinet  isi  elib  scopus 9
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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
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  mathnet  crossref  mathscinet  isi  scopus

   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  mathnet  crossref  mathscinet  adsnasa  isi  elib  scopus 10

   2014
29. A. A. Glutsyuk, “On odd-periodic orbits in complex planar billiards”, J. Dyn. Control Systems, 20:3 (2014), 293–306  crossref  mathscinet  elib  scopus 9
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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
31. Alexey Glutsyuk, “On quadrilateral orbits in complex algebraic planar billiards”, Mosc. Math. J., 14:2 (2014), 239–289  mathnet  crossref  mathscinet  isi  scopus 16
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  mathnet  crossref  mathscinet  isi

   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  crossref  mathscinet  scopus 12

   2011
34. A. A. Glutsyuk, Yu. G. Kudryashov, “On quadrilateral orbits in planar billiards”, Doklady Mathematics, 83:3 (2011), 371–373  crossref  mathscinet  elib  scopus
35. A. A. Glutsyuk, “Instability of nondiscrete free subgroups in Lie groups”, Transformations groups, 16:2 (2011), 413–479, arXiv: math/0409556v4  crossref  mathscinet  scopus 3

   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  crossref  mathscinet  scopus
37. A. Glutsyuk, “On density of horospheres in dynamical laminations”, Mosc. Math. J., 10:3 (2010), 547–591  mathnet  crossref  mathscinet  isi  elib  scopus 1
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  crossref  mathscinet  scopus

   2007
39. A. A. Glutsyuk, Yu. S. Ilyashenko, “Restricted version of the infinitesimal Hilbert 16th problem”, Mosc. Math. J., 7:2 (2007), 281–325  mathnet  crossref  mathscinet  zmath  isi 4

   2006
40. A. A. Glutsyuk; Yu. S. Ilyashenko, “Restricted infinitesimal Hilbert sixteenths problem”, Doklady Mathematics, 73:2 (2006), 185–189  mathnet  crossref  mathscinet  mathscinet  elib  scopus
41. A. A. Glutsyuk, “An explicit formula for period determinant”, Ann. Inst. Fourier, 56:4 (2006), 887–917  crossref  mathscinet  elib  scopus 2

   2005
42. A. A. Glutsyuk, “Upper bounds of topology of complex polynomials in two variables”, Mosc. Math. J., 5:4 (2005), 781–828  mathnet  crossref  mathscinet  zmath  isi 4
43. A. A. Glutsyuk, “On the monodromy group of confluent linear equations”, Mosc. Math. J., 5:1 (2005), 67–90  mathnet  crossref  mathscinet  zmath  isi 2
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  crossref  mathscinet  scopus 1
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  mathnet  mathscinet

   2004
46. A. A. Glutsyuk, “Simultaneous metric uniformization of foliations by Riemann surfaces”, Commentarii Mathematici Helvetici, 79:4 (2004), 704–752  crossref  mathscinet  scopus
47. A. A. Glutsyuk, “Resonant confluence of singular points and Stokes phenomena”, Journal of Dynamical and Control Systems, 10:2 (2004), 253–302  crossref  mathscinet  scopus 8

   2002
48. A. A. Glutsyuk, “On simultaneous uniformization and local nonuniformizability”, C.R. Acad. Sci. Paris, Série 1 Math., 334 (2002), 489–494  crossref  mathscinet  scopus 6

   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  crossref  mathscinet  scopus 7
50. A. A. Glutsyuk, “Confluence of singular points and the nonlinear Stokes Phenomena”, Transactions of Moscow Mathematical Society, 62 (2001), 49–95

   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  mathnet  mathscinet  zmath

   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  crossref  mathscinet  scopus 14

   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  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   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  mathnet  mathscinet  zmath

   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  mathnet  crossref  mathscinet  zmath  isi  scopus

   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  mathnet  crossref  mathscinet  zmath  isi  scopus
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  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   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  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
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  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus


© Steklov Math. Inst. of RAS, 2026