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## Glutsyuk, Alexey A.

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 Author ID: glutsyuk.alexey-a Published as: Glutsyuk, A. A.; Glutsyuk, Alexey; Glutsyuk, A.; Glutsyuk, Alexey A.
 Documents Indexed: 45 Publications since 1993, including 1 Book Reviewing Activity: 39 Reviews
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#### Co-Authors

 29 single-authored 3 Bukhshtaber, Viktor Matveevich 2 Ilyashenko, Yulij Sergeevich 2 Kudryashov, Yury 1 Anosov, Dmitriĭ Viktorovich 1 Arnol’d, Vladimir Igorevich 1 Brunella, Marco 1 Dumitrescu, Sorin 1 Dynnikov, Ivan Alekseevich 1 Eyssidieux, Philippe 1 Filimonov, D. A. 1 Gorodetskii, Anton Semenovich 1 Kaloshin, Vadim Yu. 1 Kator, A. 1 Khovanskiĭ, Askold Georgievich 1 Kleptsyn, Victor A. 1 Kulipanov, Gennadiĭ Nikolaevich 1 Lando, Sergei K. 1 Meersseman, Laurent 1 Mironov, Andreĭ Evgen’evich 1 Netay, Igor V. 1 Nicolau, Marcel 1 Ramassamy, Sanjay 1 Rybnikov, Leonid Grigor’evich 1 Sabot, Christophe 1 Schurov, Ilya 1 Shustin, Eugenii Isaakovich 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Taimanov, Iskander Asanovich 1 Tsfasman, Michael A. 1 Vesnin, Andrei Yu. 1 Yakovenko, Sergei
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#### Serials

 6 Moscow Mathematical Journal 4 Journal of Dynamical and Control Systems 3 Russian Mathematical Surveys 3 Doklady Mathematics 2 Nonlinearity 2 Annales de l’Institut Fourier 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Notes 1 Journal of Geometry and Physics 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 The Journal of Geometric Analysis 1 Notices of the American Mathematical Society 1 St. Petersburg Mathematical Journal 1 Transformation Groups 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the European Mathematical Society (JEMS) 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proceedings of the Steklov Institute of Mathematics 1 Panoramas et Synthèses 1 Journal of Fixed Point Theory and Applications 1 Journal of Modern Dynamics
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#### Fields

 26 Dynamical systems and ergodic theory (37-XX) 14 Ordinary differential equations (34-XX) 12 Algebraic geometry (14-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Manifolds and cell complexes (57-XX) 5 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Geometry (51-XX) 3 General and overarching topics; collections (00-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 118 times in 43 Documents Cited by Year
A complete solution of the Jacobian problem for vector fields on the plane. Zbl 0828.34041
Glutsyuk, A. A.
1994
Confluence of singular points and nonlinear Stokes phenomenon. Zbl 1004.34081
Glutsyuk, A. A.
2001
On quadrilateral orbits in complex algebraic planar billiards. Zbl 1334.37018
Glutsyuk, Alexey
2014
On the adjacency quantization in an equation modeling the Josephson effect. Zbl 1370.37143
Glutsyuk, A. A.; Kleptsyn, V. A.; Filimonov, D. A.; Schurov, I. V.
2014
No planar billiard possesses an open set of quadrilateral trajectories. Zbl 1280.37034
Glutsyuk, Alexey; Kudryashov, Yury
2012
On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004
Buchstaber, V. M.; Glutsyuk, A. A.
2016
Hyperbolicity of leaves of a generic one-dimensional holomorphic foliation on a nonsingular projective algebraic manifold. Zbl 0883.57027
Glutsyuk, A. A.
1996
On 4-reflective complex analytic planar billiards. Zbl 1384.37026
Glutsyuk, Alexey
2017
On two-dimensional polynomially integrable billiards on surfaces of constant curvature. Zbl 1400.37063
Glutsyuk, A. A.
2018
On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108
Buchstaber, V. M.; Glutsyuk, A. A.
2017
On quadrilateral orbits in planar billiards. Zbl 1238.37010
Glutsyuk, A. A.; Kudryashov, Yu. G.
2011
On polynomially integrable planar outer billiards and curves with symmetry property. Zbl 1402.37048
Glutsyuk, A.; Shustin, E.
2018
Upper bounds of topology of complex polynomials in two variables. Zbl 1186.14013
Glutsyuk, A. A.
2005
Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019
Glutsyuk, A.; Ilyashenko, Yu.
2007
Nonuniformizable skew cylinders. A counterexample to the simultaneous uniformization problem. Zbl 0987.32005
Glutsyuk, Alexey
2001
On simultaneous uniformization and local nonuniformizability. Zbl 1007.32016
Glutsyuk, Alexey
2002
Resonant confluence of singular points and Stokes phenomena. Zbl 1084.34076
Glutsyuk, A. A.
2004
On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation. Zbl 1431.34060
Glutsyuk, A. A.
2019
On odd-periodic orbits in complex planar billiards. Zbl 1333.37009
Glutsyuk, Alexey
2014
A first integrability result for Miquel dynamics. Zbl 1390.37098
Glutsyuk, Alexey; Ramassamy, Sanjay
2018
An explicit formula for period determinant. Zbl 1140.32011
Glutsyuk, Alexey A.
2006
On families of differential equations on two-torus with all phase-lock areas. Zbl 1417.37160
Glutsyuk, Alexey; Rybnikov, Leonid
2017
Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102
Buchstaber, V. M.; Glutsyuk, A. A.
2019
On density of horospheres in dynamical laminations. Zbl 1206.37014
Glutsyuk, A.
2010
Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane. Zbl 0996.37049
Glutsyuk, A. A.
1998
Codimension of the set of one-dimensional polynomial foliations on $$\mathbb C^n$$ and $$\mathbb CP^n$$ that do not satisfy a sufficient condition of hyperbolicity of leaves. Zbl 1038.37039
Glutsyuk, A. A.
1999
On convergence of generalized continued fractions and Ramanujan’s conjecture. Zbl 1094.30004
Glutsyuk, Alexey A.
2005
Instability of nondiscrete free subgroups in Lie groups. Zbl 1231.22008
Glutsyuk, Alexey
2011
A survey on minimality of horospheric laminations for rational functions. Zbl 1152.37017
Glutsyuk, Alexey
2007
On the monodromy group of confluent linear equations. Zbl 1099.34077
Glutsyuk, Alexey
2005
On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation. Zbl 1431.34060
Glutsyuk, A. A.
2019
Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102
Buchstaber, V. M.; Glutsyuk, A. A.
2019
On two-dimensional polynomially integrable billiards on surfaces of constant curvature. Zbl 1400.37063
Glutsyuk, A. A.
2018
On polynomially integrable planar outer billiards and curves with symmetry property. Zbl 1402.37048
Glutsyuk, A.; Shustin, E.
2018
A first integrability result for Miquel dynamics. Zbl 1390.37098
Glutsyuk, Alexey; Ramassamy, Sanjay
2018
On 4-reflective complex analytic planar billiards. Zbl 1384.37026
Glutsyuk, Alexey
2017
On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108
Buchstaber, V. M.; Glutsyuk, A. A.
2017
On families of differential equations on two-torus with all phase-lock areas. Zbl 1417.37160
Glutsyuk, Alexey; Rybnikov, Leonid
2017
On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004
Buchstaber, V. M.; Glutsyuk, A. A.
2016
On quadrilateral orbits in complex algebraic planar billiards. Zbl 1334.37018
Glutsyuk, Alexey
2014
On the adjacency quantization in an equation modeling the Josephson effect. Zbl 1370.37143
Glutsyuk, A. A.; Kleptsyn, V. A.; Filimonov, D. A.; Schurov, I. V.
2014
On odd-periodic orbits in complex planar billiards. Zbl 1333.37009
Glutsyuk, Alexey
2014
No planar billiard possesses an open set of quadrilateral trajectories. Zbl 1280.37034
Glutsyuk, Alexey; Kudryashov, Yury
2012
On quadrilateral orbits in planar billiards. Zbl 1238.37010
Glutsyuk, A. A.; Kudryashov, Yu. G.
2011
Instability of nondiscrete free subgroups in Lie groups. Zbl 1231.22008
Glutsyuk, Alexey
2011
On density of horospheres in dynamical laminations. Zbl 1206.37014
Glutsyuk, A.
2010
Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019
Glutsyuk, A.; Ilyashenko, Yu.
2007
A survey on minimality of horospheric laminations for rational functions. Zbl 1152.37017
Glutsyuk, Alexey
2007
An explicit formula for period determinant. Zbl 1140.32011
Glutsyuk, Alexey A.
2006
Upper bounds of topology of complex polynomials in two variables. Zbl 1186.14013
Glutsyuk, A. A.
2005
On convergence of generalized continued fractions and Ramanujan’s conjecture. Zbl 1094.30004
Glutsyuk, Alexey A.
2005
On the monodromy group of confluent linear equations. Zbl 1099.34077
Glutsyuk, Alexey
2005
Resonant confluence of singular points and Stokes phenomena. Zbl 1084.34076
Glutsyuk, A. A.
2004
On simultaneous uniformization and local nonuniformizability. Zbl 1007.32016
Glutsyuk, Alexey
2002
Confluence of singular points and nonlinear Stokes phenomenon. Zbl 1004.34081
Glutsyuk, A. A.
2001
Nonuniformizable skew cylinders. A counterexample to the simultaneous uniformization problem. Zbl 0987.32005
Glutsyuk, Alexey
2001
Codimension of the set of one-dimensional polynomial foliations on $$\mathbb C^n$$ and $$\mathbb CP^n$$ that do not satisfy a sufficient condition of hyperbolicity of leaves. Zbl 1038.37039
Glutsyuk, A. A.
1999
Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane. Zbl 0996.37049
Glutsyuk, A. A.
1998
Hyperbolicity of leaves of a generic one-dimensional holomorphic foliation on a nonsingular projective algebraic manifold. Zbl 0883.57027
Glutsyuk, A. A.
1996
A complete solution of the Jacobian problem for vector fields on the plane. Zbl 0828.34041
Glutsyuk, A. A.
1994
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#### Cited by 37 Authors

 8 Glutsyuk, Alexey A. 5 Tabachnikov, Serge L. 2 Abenda, Simonetta 2 Binyamini, Gal 2 Bukhshtaber, Viktor Matveevich 2 Fomenko, Anatoliĭ Timofeevich 2 Grinevich, Pëtr Georgievich 2 Ilyashenko, Yulij Sergeevich 2 Jovanović, Vladimir 2 Shcherbakov, A. A. 2 Vedyushkina, Viktoriya Viktorovna 2 Yakovenko, Sergei 1 Affolter, Niklas C. 1 Albers, Peter 1 Bialy, Misha 1 Bibilo, Yulia P. 1 Bolsinov, Alexey V. 1 Dolgopyat, Dmitry 1 Fowler, Kari E. 1 Glutsyuk, Aleksei A. 1 Gutkin, Eugene 1 Jakobson, Dmitry 1 Matveev, Vladimir S. 1 Miranda, Eva 1 Mironov, Andreĭ Evgen’evich 1 Netay, Igor V. 1 Novikov, Dmitry 1 Plakhov, A. Yu 1 Ramassamy, Sanjay 1 Paris-Romaskevich, Olga 1 Shustin, Eugenii Isaakovich 1 Stoyanova, Tsvetana Lyubenova 1 Suris, Yuri Borisovich 1 Tertychnyĭ, Sergeĭ Ivanovich 1 Treshchev, Dmitriĭ Valer’evich 1 Tsygvintsev, Alexei V. 1 Vershik, Anatoliĭ Moiseevich
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#### Cited in 32 Serials

 5 Journal of Dynamical and Control Systems 5 Proceedings of the Steklov Institute of Mathematics 2 Advances in Mathematics 2 The Journal of Geometric Analysis 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Transactions of the Moscow Mathematical Society 1 Physica D 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Selecta Mathematica. New Series 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 The Ramanujan Journal 1 Chaos 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Theoretical and Applied Mechanics 1 Journal of Fixed Point Theory and Applications 1 Journal of Modern Dynamics 1 Journal of Mathematics 1 Arnold Mathematical Journal 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 22 Fields

 29 Dynamical systems and ergodic theory (37-XX) 10 Algebraic geometry (14-XX) 10 Ordinary differential equations (34-XX) 7 Differential geometry (53-XX) 6 Several complex variables and analytic spaces (32-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Geometry (51-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)