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Alexey Glutsyuk

30
Documents

Présentation

1\) Publications (parues ou acceptees) dans des revues a comite de lecture. V.M.Buchstaber, A.A.Glutsyuk. On determinants of modi!ed Bessel functions and entire solutions of double confluent Heun equations. -- Nonlinearity, 29 (2016), 3857--3870. A.Glutsyuk. On 4-reflective complex analytic planar billiards. -- A paraitre dans le Journal of Geometric Analysis. Publie First Online. DOI: 10.1007/s12220-016-9679-x A.Glutsyuk, L.Rybnikov. On families of differential equations on two-torus with all phase-lock areas. -- A paraitre dans Nonlinearity 30 (2017). 2\) Preprints sur l'archive (pre-publications soumises pour publication). 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. -- Preprint https://arxiv.org/abs/1609.00244 A.Glutsyuk, E.Shustin. On polynomially integrable planar outer billiards and curves with symmetry property. -- Preprint https://arxiv.org/abs/1607.07593

Publications

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On infinitely many foliations by caustics in strictly convex open billiards

Alexey Glutsyuk
Ergodic Theory and Dynamical Systems, In press, ⟨10.1017/etds.2023.42⟩
Article dans une revue hal-03438666v3
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On Germs of Constriction Curves in Model of Overdamped Josephson Junction, Dynamical Isomonodromic Foliation and Painlevé 3 Equation

Alexey Glutsyuk
Moscow Mathematical Journal, 2023, 23 (4), pp.479-513. ⟨10.17323/1609-4514-2023-23-4-479-513⟩
Article dans une revue hal-04413744v1
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Density of thin film billiard reflection pseudogroup in Hamiltonian symplectomorphism pseudogroup

Alexey Glutsyuk
Israel Journal of Mathematics, 2023, 258, pp.137-184. ⟨10.1007/s11856-023-2470-3⟩
Article dans une revue hal-03026432v4
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On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation

Yulia Bibilo , Alexey Glutsyuk
Nonlinearity, 2022, 35, pp.5427--5480. ⟨10.1088/1361-6544/ac8aee⟩
Article dans une revue hal-03026462v3
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On curves with Poritsky property

Alexey Glutsyuk
Journal of Fixed Point Theory and Applications, 2022, 24, ⟨10.1007/s11784-022-00948-7⟩
Article dans une revue ensl-02374972v4
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Open problems on billiards and geometric optics

Misha Bialy , Corentin Fierobe , Alexey Glutsyuk , Mark Levi , Alexander Plakhov
Arnold Mathematical Journal, 2022, 8, pp.411--422. ⟨10.1007/s40598-022-00198-y⟩
Article dans une revue hal-03852388v1
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On polynomially integrable Birkhoff billiards on surfaces of constant curvature.

Alexey Glutsyuk
Journal of the European Mathematical Society, 2021, 23, pp.995--1049
Article dans une revue ensl-01664204v3
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Four equivalent properties of integrable billiards

Alexey Glutsyuk , Ivan Izmestiev , Serge Tabachnikov
Israel Journal of Mathematics, 2021, 241, pp.693--719
Article dans une revue ensl-02374928v1
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On commuting billiards in higher-dimensional spaces of constant curvature

Alexey Glutsyuk
Pacific Journal of Mathematics, 2020, 305 (2), pp.577--595. ⟨10.2140/pjm.2020.305.577⟩
Article dans une revue ensl-01964943v2
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On families of constrictions in model of overdamped Josephson junction.

Alexey Glutsyuk , Yulia Bibilo
Russian Mathematical Surveys, 2020, 76 (2), pp.179-180. ⟨10.1070/RM9982⟩
Article dans une revue ensl-03041406v1
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On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction

Alexey Glutsyuk , I V Netay
Journal of Dynamical and Control Systems, 2020, 26, pp.785--820. ⟨10.1007/s10883-019-09464-3⟩
Article dans une revue ensl-02374994v1
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On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of double confluent Heun equation

Alexey Glutsyuk
Journal of Dynamical and Control Systems, 2019, 25 (3), pp.323-349. ⟨10.1007/s10883-018-9411-1⟩
Article dans une revue ensl-01964940v1
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Total positivity, Grassmannian and modified Bessel functions

Victor M Buchstaber , Alexey Glutsyuk
Contemporary mathematics, 2019, 733, pp.97-107. ⟨10.1090/conm/733/14736⟩
Article dans une revue ensl-01664210v1
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A first integrability result for Miquel dynamics

Alexey Glutsyuk , Sanjay Ramassamy
Journal of Geometry and Physics, 2018, 130, pp.121-129. ⟨10.1016/j.geomphys.2018.04.002⟩
Article dans une revue hal-01689988v1

On two-dimensional polynomially integrable billiards on surfaces of constant curvature.

Alexey Glutsyuk
Doklady Mathematics, 2018, 98 (1), pp.382--385. ⟨10.1134/S1064562418050253⟩
Article dans une revue ensl-01964938v1
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On polynomially integrable planar outer billiards and curves with symmetry property

Alexey Glutsyuk , E Shustin
Mathematische Annalen, 2018, 372, pp.1481--1501. ⟨10.1007/s00208-018-1726-4⟩
Article dans une revue ensl-01413589v2
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On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect

V M Buchstaber , Alexey Glutsyuk
Proceedings of the Steklov Institute of Mathematics, 2017, 297 (2017), pp.50--89. ⟨10.1134/S0081543817040046⟩
Article dans une revue ensl-01413590v2
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On families of differential equations on two-torus with all phase-lock areas

Alexey Glutsyuk , Leonid Rybnikov
Nonlinearity, 2017, 30 (1), pp.61-72. ⟨10.1088/0951-7715/30/1/61⟩
Article dans une revue ensl-01413585v1
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On determinants of modi!ed Bessel functions and entire solutions of double confluent Heun equations

Victor Buchstaber , Alexey Glutsyuk
Nonlinearity, 2016, 29, pp.3857-3870. ⟨10.1088/0951-7715/29/12/3857⟩
Article dans une revue ensl-01409267v1
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On 4-reflective complex analytic planar billiards

Alexey Glutsyuk
Journal of Geometric Analysis, 2016, 27 (2017), pp.183--238. ⟨10.1007/s12220-016-9679-x⟩
Article dans une revue ensl-01409258v1
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On Quadrilateral Orbits in Complex Algebraic Planar Billiards

Alexey Glutsyuk
Moscow Mathematical Journal, 2014, 14 (2), pp.239-289. ⟨10.17323/1609-4514-2014-14-2-239-289⟩
Article dans une revue ensl-02443713v1
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On odd-periodic orbits in complex planar billiards

Alexey Glutsyuk
Journal of Dynamical and Control Systems, 2014, 20 (3), pp.293-306. ⟨10.1007/s10883-014-9236-5⟩
Article dans une revue ensl-02443723v1

On the adjacency quantization in an equation modeling the Josephson effect

Alexey Glutsyuk , V. Kleptsyn , D. Filimonov , I. Schurov
Functional Analysis and Its Applications, 2014, 48 (4), pp.272-285. ⟨10.1007/s10688-014-0070-z⟩
Article dans une revue ensl-02443743v1

On the adjacency quantization in the equation modelling the Josephson effect

Alexey Glutsyuk , Dmitry A. Filimonov , Victor A. Kleptsyn , Ilya Schurov
Functional Analysis and Its Applications, 2014, 48 (4), pp.272-285. ⟨10.1007/s10688-014-0070-z⟩
Article dans une revue hal-00830082v1

Stokes matrices of hypergeometric integrals

Alexey Glutsyuk , Christophe Sabot
Annales de l'Institut Fourier, 2010, 60 (1), pp.291-317. ⟨10.5802/aif.2523⟩
Article dans une revue hal-00863549v1
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Simultaneous metric uniformization of foliations by Riemann surfaces

Alexey Glutsyuk
Commentarii Mathematici Helvetici, 2004, 79 (4), pp.704-752
Article dans une revue ensl-00078827v1