On polynomially integrable Birkhoff billiards on surfaces of constant curvature. Zbl 1466.37049
Glutsyuk, Alexey |
|
2021
|
A complete solution of the Jacobian problem for vector fields on the plane. Zbl 0828.34041
Glutsyuk, A. A. |
|
1994
|
On two-dimensional polynomially integrable billiards on surfaces of constant curvature. Zbl 1400.37063
Glutsyuk, A. A. |
|
2018
|
Hyperbolicity of leaves of a generic one-dimensional holomorphic foliation on a nonsingular projective algebraic manifold. Zbl 0883.57027
Glutsyuk, A. A. |
|
1996
|
On polynomially integrable planar outer billiards and curves with symmetry property. Zbl 1402.37048
Glutsyuk, A.; Shustin, E. |
|
2018
|
Confluence of singular points and nonlinear Stokes phenomenon. Zbl 1004.34081
Glutsyuk, A. A. |
|
2001
|
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 complex algebraic planar billiards. Zbl 1334.37018
Glutsyuk, Alexey |
|
2014
|
No planar billiard possesses an open set of quadrilateral trajectories. Zbl 1280.37034
Glutsyuk, Alexey; Kudryashov, Yury |
|
2012
|
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 determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004
Buchstaber, V. M.; Glutsyuk, A. A. |
|
2016
|
On 4-reflective complex analytic planar billiards. Zbl 1384.37026
Glutsyuk, Alexey |
|
2017
|
On quadrilateral orbits in planar billiards. Zbl 1238.37010
Glutsyuk, A. A.; Kudryashov, Yu. G. |
|
2011
|
On odd-periodic orbits in complex planar billiards. Zbl 1333.37009
Glutsyuk, Alexey |
|
2014
|
Resonant confluence of singular points and Stokes phenomena. Zbl 1084.34076
Glutsyuk, A. A. |
|
2004
|
Four equivalent properties of integrable billiards. Zbl 1470.37079
Glutsyuk, Alexei; Izmestiev, Ivan; Tabachnikov, Serge |
|
2021
|
Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019
Glutsyuk, A.; Ilyashenko, Yu. |
|
2007
|
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
|
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
|
Upper bounds of topology of complex polynomials in two variables. Zbl 1186.14013
Glutsyuk, A. A. |
|
2005
|
On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation. Zbl 1505.34130
Bibilo, Y.; Glutsyuk, A. A. |
|
2022
|
On families of constrictions in the model of an overdamped Josephson junction. Zbl 1476.37100
Bibilo, Yulia P.; Glutsyuk, Aleksei A. |
|
2021
|
Instability of nondiscrete free subgroups in Lie groups. Zbl 1231.22008
Glutsyuk, Alexey |
|
2011
|
On families of differential equations on two-torus with all phase-lock areas. Zbl 1417.37160
Glutsyuk, Alexey; Rybnikov, Leonid |
|
2017
|
On the monodromy group of confluent linear equations. Zbl 1099.34077
Glutsyuk, Alexey |
|
2005
|
On curves with the Poritsky property. Zbl 1503.37044
Glutsyuk, Alexey |
|
2022
|
A first integrability result for Miquel dynamics. Zbl 1390.37098
Glutsyuk, Alexey; Ramassamy, Sanjay |
|
2018
|
On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction. Zbl 1456.34083
Glutsyuk, A. A.; Netay, I. V. |
|
2020
|
An explicit formula for period determinant. Zbl 1140.32011
Glutsyuk, Alexey A. |
|
2006
|
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
|
On convergence of generalized continued fractions and Ramanujan’s conjecture. Zbl 1094.30004
Glutsyuk, Alexey A. |
|
2005
|
Simultaneous metric uniformization of foliations by Riemann surfaces. Zbl 1066.53060
Glutsyuk, A. A. |
|
2004
|
A survey on minimality of horospheric laminations for rational functions. Zbl 1152.37017
Glutsyuk, Alexey |
|
2007
|
Conference “Dynamics in Siberia” dedicated to the 90th anniversary of B. V. Chirikov, Novosibirsk, Russia, February 26 – March 4, 2018. Abstracts. Zbl 1411.00034
Mironov, A. E. |
|
2018
|
Open problems on billiards and geometric optics. Zbl 1509.00013
Bialy, Misha; Fierobe, Corentin; Glutsyuk, Alexey; Levi, Mark; Plakhov, Alexander; Tabachnikov, Serge |
|
2022
|
On commuting billiards in higher-dimensional spaces of constant curvature. Zbl 1472.37031
Glutsyuk, Alexey |
|
2020
|
On density of horospheres in dynamical laminations. Zbl 1206.37014
Glutsyuk, A. |
|
2010
|
On infinitely many foliations by caustics in strictly convex open billiards. Zbl 07861155
Glutsyuk, Alexey |
|
2024
|
Simple proofs of uniformization theorems. Zbl 1160.30005
Glutsyuk, Alexey A. |
|
2008
|
On infinitely many foliations by caustics in strictly convex open billiards. Zbl 07861155
Glutsyuk, Alexey |
|
2024
|
On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation. Zbl 1505.34130
Bibilo, Y.; Glutsyuk, A. A. |
|
2022
|
On curves with the Poritsky property. Zbl 1503.37044
Glutsyuk, Alexey |
|
2022
|
Open problems on billiards and geometric optics. Zbl 1509.00013
Bialy, Misha; Fierobe, Corentin; Glutsyuk, Alexey; Levi, Mark; Plakhov, Alexander; Tabachnikov, Serge |
|
2022
|
On polynomially integrable Birkhoff billiards on surfaces of constant curvature. Zbl 1466.37049
Glutsyuk, Alexey |
|
2021
|
Four equivalent properties of integrable billiards. Zbl 1470.37079
Glutsyuk, Alexei; Izmestiev, Ivan; Tabachnikov, Serge |
|
2021
|
On families of constrictions in the model of an overdamped Josephson junction. Zbl 1476.37100
Bibilo, Yulia P.; Glutsyuk, Aleksei A. |
|
2021
|
On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction. Zbl 1456.34083
Glutsyuk, A. A.; Netay, I. V. |
|
2020
|
On commuting billiards in higher-dimensional spaces of constant curvature. Zbl 1472.37031
Glutsyuk, Alexey |
|
2020
|
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
|
Conference “Dynamics in Siberia” dedicated to the 90th anniversary of B. V. Chirikov, Novosibirsk, Russia, February 26 – March 4, 2018. Abstracts. Zbl 1411.00034
Mironov, A. E. |
|
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 4-reflective complex analytic planar billiards. Zbl 1384.37026
Glutsyuk, Alexey |
|
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
|
Simple proofs of uniformization theorems. Zbl 1160.30005
Glutsyuk, Alexey A. |
|
2008
|
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 the monodromy group of confluent linear equations. Zbl 1099.34077
Glutsyuk, Alexey |
|
2005
|
On convergence of generalized continued fractions and Ramanujan’s conjecture. Zbl 1094.30004
Glutsyuk, Alexey A. |
|
2005
|
Resonant confluence of singular points and Stokes phenomena. Zbl 1084.34076
Glutsyuk, A. A. |
|
2004
|
Simultaneous metric uniformization of foliations by Riemann surfaces. Zbl 1066.53060
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
|
