Alexey Glutsyuk

Documents

Presentation

Publications

	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⟩ Journal articles hal-03026432v4
	On infinitely many foliations by caustics in strictly convex open billiards Alexey Glutsyuk Ergodic Theory and Dynamical Systems, inPress, ⟨10.1017/etds.2023.42⟩ Journal articles hal-03438666v3
	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⟩ Journal articles hal-04413744v1
	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⟩ Journal articles hal-03026462v3
	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⟩ Journal articles hal-03852388v1
	On curves with Poritsky property Alexey Glutsyuk Journal of Fixed Point Theory and Applications, 2022, 24, ⟨10.1007/s11784-022-00948-7⟩ Journal articles ensl-02374972v4
	On polynomially integrable Birkhoff billiards on surfaces of constant curvature. Alexey Glutsyuk Journal of the European Mathematical Society, 2021, 23 (3), pp.995--1049. ⟨10.4171/JEMS/1027⟩ Journal articles ensl-01664204v3
	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⟩ Journal articles ensl-02374994v1
	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⟩ Journal articles ensl-01964943v2
	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⟩ Journal articles ensl-03041406v1
	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⟩ Journal articles ensl-01964940v1
	Total positivity, Grassmannian and modified Bessel functions Victor M Buchstaber , Alexey Glutsyuk Contemporary mathematics, 2019, 733, pp.97-107. ⟨10.1090/conm/733/14736⟩ Journal articles ensl-01664210v1
	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⟩ Journal articles ensl-01413589v2
	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⟩ Journal articles 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⟩ Journal articles ensl-01964938v1
	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⟩ Journal articles ensl-01413590v2
	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⟩ Journal articles ensl-01413585v1
	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⟩ Journal articles ensl-01409258v1
	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⟩ Journal articles ensl-01409267v1
	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⟩ Journal articles 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⟩ Journal articles hal-00830082v1
	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⟩ Journal articles ensl-02443723v1
	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⟩ Journal articles ensl-02443713v1
	Stokes matrices of hypergeometric integrals Alexey Glutsyuk , Christophe Sabot Annales de l'Institut Fourier, 2010, 60 (1), pp.291-317. ⟨10.5802/aif.2523⟩ Journal articles hal-00863549v1
	Simultaneous metric uniformization of foliations by Riemann surfaces Alexey Glutsyuk Commentarii Mathematici Helvetici, 2004, 79 (4), pp.704-752 Journal articles ensl-00078827v1

	Variétés complexes, feuilletages, uniformisation Marco Brunella , Sorin Dumitrescu , Philippe Eyssidieux , Alexey Glutsyuk , Laurent Meersseman SMF, 34/35, 2012, Panoramas et Synthèses, 978-2-85629-358-4 Books hal-01894756v1

	On rationally integrable planar dual multibilliards and piecewise smooth projective billiards Alexey Glutsyuk 2024 Preprints, Working Papers, ... ensl-03925877v2
	On rationally integrable planar dual and projective billiards Alexey Glutsyuk 2022 Preprints, Working Papers, ... hal-03476328v2
	Restricted version of the infinitesimal Hilbert 16th problem Alexey Glutsyuk , Yuli Ilyashenko 2006 Preprints, Working Papers, ... ensl-00078858v1

Alexey Glutsyuk

Presentation

Publications

Density of thin film billiard reflection pseudogroup in Hamiltonian symplectomorphism pseudogroup

On infinitely many foliations by caustics in strictly convex open billiards

On Germs of Constriction Curves in Model of Overdamped Josephson Junction, Dynamical Isomonodromic Foliation and Painlevé 3 Equation

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation

Open problems on billiards and geometric optics

On curves with Poritsky property

On polynomially integrable Birkhoff billiards on surfaces of constant curvature.

On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction

On commuting billiards in higher-dimensional spaces of constant curvature

On families of constrictions in model of overdamped Josephson junction.

On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of double confluent Heun equation

Total positivity, Grassmannian and modified Bessel functions

On polynomially integrable planar outer billiards and curves with symmetry property

A first integrability result for Miquel dynamics

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

On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect

On families of differential equations on two-torus with all phase-lock areas

On 4-reflective complex analytic planar billiards

On determinants of modi!ed Bessel functions and entire solutions of double confluent Heun equations

On the adjacency quantization in an equation modeling the Josephson effect

On the adjacency quantization in the equation modelling the Josephson effect

On odd-periodic orbits in complex planar billiards

On Quadrilateral Orbits in Complex Algebraic Planar Billiards

Stokes matrices of hypergeometric integrals

Simultaneous metric uniformization of foliations by Riemann surfaces

Variétés complexes, feuilletages, uniformisation

On rationally integrable planar dual multibilliards and piecewise smooth projective billiards

On rationally integrable planar dual and projective billiards

Restricted version of the infinitesimal Hilbert 16th problem