Alexey Glutsyuk

Publications³⁹

• Article Glutsyuk A. On curves with the Poritsky property // Journal of Fixed Point Theory and Applications. 2022. Vol. 24. No. 2. Article 35. doi
• Article Bibilo Y., Glutsyuk A. On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation // Nonlinearity. 2022. Vol. 35. No. 10. P. 5427-5480. doi
• Article Glutsyuk A. Density of thin film billiard reflection pseudogroup in Hamiltonian symplectomorphism pseudogroup // Israel Journal of Mathematics. 2021 (in press)
• Article Glutsyuk A., Izmestiev I., Tabachnikov S. Four equivalent properties of integrable billiards // Israel Journal of Mathematics. 2021. Vol. 241. P. 693-719. doi
• Preprint Glutsyuk A., Bibilo Y. On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation / Cornell University. Series arXiv "math". 2021. No. 2011.07839.
• Preprint Glutsyuk A. On infinitely many foliations by caustics in strictly convex non-closed billiards / Cornell University. Series "Working papers by Cornell University". 2021. No. 2104.01362.
• Article Glutsyuk A. On polynomially integrable Birkhoff billiards on surfaces of constant curvature // Journal of the European Mathematical Society. 2021. Vol. 23. No. 3. P. 995-1049. doi
• Preprint Glutsyuk A. On rationally integrable planar dual and projective billiards / Cornell University. Series arXiv "math". 2021.
• Article Glutsyuk A., Netay I. V. On Spectral Curves and Complexified Boundaries of the Phase-Lock Areas in a Model of Josephson Junction // Journal of Dynamical and Control Systems. 2020. Vol. 26. P. 785-820. doi
• Article Glutsyuk A. On commuting billiards in higher-dimensional spaces of constant curvature // Pacific Journal of Mathematics. 2020. Vol. 305. No. 2. P. 577-595. doi
• Preprint Glutsyuk A. Four equivalent properties of integrable billiards / Cornell University. Series "Working papers by Cornell University". 2019.
• Article Glutsyuk A. On Constrictions of Phase-Lock Areas in Model of Overdamped Josephson Effect and Transition Matrix of the Double-Confluent Heun Equation // Journal of Dynamical and Control Systems. 2019. Vol. 25. No. 3. P. 323-349. doi
• Preprint Glutsyuk A. On curves with Poritsky property / Cornell University. Series "Working papers by Cornell University". 2019.
• Preprint Netay I. V., Glutsyuk A. On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson / Cornell University. Series arXiv "math". 2019.
• Article Buchstaber V.M, Glutsyuk A. Total positivity, Grassmannian and modified Bessel functions // Contemporary Mathematics. 2019. Vol. 733. P. 97-107. doi
• Chapter Glutsyuk A., Buchstaber V. Total positivity, Grassmannian and modified Bessel functions, in: Functional Analysis and Geometry: Selim Grigorievich Krein Centennial Vol. 733: Functional Analysis and Geometry: Selim Grigorievich Krein Centennial. Providence : AMS, 2019. doi P. 97-107. doi
• Article Glutsyuk A., Ramassamy S. A first integrability result for Miquel dynamics. // Journal of Geometry and Physics. 2018. Vol. 130. P. 121-129. doi
• Article Glutsyuk A. On Two-Dimensional Polynomially Integrable Billiards on Surfaces of Constant Curvature / Пер. с рус. // Doklady Mathematics. 2018. Vol. 98. No. 6. P. 382-385. doi
• Preprint Glutsyuk A. On commuting billiards in higher dimensional spaces of constant curvature / Cornell University. Series "Working papers by Cornell University". 2018. (in press)
• Article Glutsyuk A., Shustin E. On polynomially integrable planar outer billiards and curves with symmetry property // Mathematische Annalen. 2018. Vol. 372. P. 1481-1501. doi
• Article Glutsyuk A. On 4-reflective complex analytic planar billiards // Journal of Geometric Analysis. 2017. Vol. 27. No. 1. P. 183-238. doi
• Article Glutsyuk A., Rybnikov L. G. On families of differential equations on two-torus with all phase-lock areas // Nonlinearity. 2017. Vol. 30. No. 1. P. 61-72. doi
• Article Бухштабер В. М., Глуцюк А. А. Собственные функции монодромии уравнений Гойна и границы зон фазового захвата в модели сильношунтированного эффекта Джозефсона // Труды Математического института им. В.А. Стеклова РАН. 2017. Т. 297. С. 62-104. doi
• Article Glutsyuk A., Buchstaber V. On determinants of modified Bessel functions and entire solutions of double confluent Heun equations // Nonlinearity. 2016. Vol. 29. No. 12. P. 3857-3870. doi
• Preprint Glutsyuk A., Rybnikov L. G. On families of differential equations on two-torus with all Arnold tongues / Cornell University. Series math "arxiv.org". 2015. No. 15.
• Preprint Glutsyuk A. On 4-relfective complex analytic planar billiards / Cornell University. Series math "arxiv.org". 2014. No. 1405.5990.
• Article Glutsyuk A. On odd-periodic orbits in complex planar billiards // Journal of Dynamical and Control Systems. 2014. Vol. 20. No. 3. P. 293-306. doi
• Article Glutsyuk A. On quadrilateral orbits in complex algebraic planar billiards // Moscow Mathematical Journal. 2014. Vol. 14. No. 2. P. 239-289.
• Preprint Glutsyuk A. On quadrilateral orbits in complex algebraic planar billiards (preprint version) / Cornell University. Series math "arxiv.org". 2014. No. 1309.1843.
• Article Филимонов Д. А., Щуров И. В., Глуцюк А. А., Клепцын В. А. О квантовании перемычек в уравнении, моделирующем эффект Джозефсона // Функциональный анализ и его приложения. 2014. Т. 48. № 4. С. 47-64.
• Preprint Glutsyuk A. On odd-periodic orbits in complex planar billiards (preprint version) / Cornell University. Series math "arxiv.org". 2013. No. 1309.1849.
• Preprint Glutsyuk A., Filimonov D., Kleptsyn V., Schurov I. On the adjacency quantization in the equation modelling the Josephson effect / Cornell University. Series math "arxiv.org". 2013. No. 1301.7159.
• Article Glutsyuk A., Kudryashov Y. No planar billiard possesses an open set of quadrilateral trajectories // Journal of Modern Dynamics. 2012. Vol. 6. No. 3. P. 287-326. doi
• Article Glutsyuk A. Affine and hyperbolic laminations in holomorphic dynamics. // Panoramas and Synthèses. 2011. Vol. 34. P. 149-202. (in press)
• Article Glutsyuk A. Instability of nondiscrete free subgroups in Lie groups // Transformation Groups. 2011. Vol. 16. No. 2. P. 413-479.
• Article Глуцюк А. А., Кудряшов Ю. Г. О четырёхугольных орбитах в плоских бильярдах // Доклады Академии наук. 2011. Т. 438. № 5. С. 590-592.
• Article Glutsyuk A. On density of horospheres in dynamical laminations // Moscow Mathematical Journal. 2010. Vol. 10. No. 3. P. 547-591.
• Article Glutsyuk A., Sabot C. Stokes matrices of hypergeometric integrals // Annales de l'Institut Fourier. 2010. Vol. 60. No. 1. P. 291-317.
• Article Glutsyuk A. Unique ergodicity of horospheric foliations revisited // Journal of Fixed Point Theory and Applications. 2010. Vol. 8. No. 1. P. 113-149.