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Anton Dzhamay
Anton Dzhamay
Beijing Institute of Mathematical Sciences and Applications (BIMSA)
Verified email at bimsa.cn
Title
Cited by
Cited by
Year
Fiber-dependent deautonomization of integrable 2D mappings and discrete Painlevé equations
AS Carstea, A Dzhamay, T Takenawa
Journal of Physics A: Mathematical and Theoretical 50 (40), 405202, 2017
392017
Recurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations
A Dzhamay, G Filipuk, A Stokes
Journal of Physics A: Mathematical and Theoretical 53 (49), 495201, 2020
282020
On some applications of Sakai's geometric theory of discrete Painlevé equations
A Dzhamay, T Takenawa
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14, 075, 2018
222018
Discrete Schlesinger Transformations, their Hamiltonian Formulation, and Difference Painlev\'e Equations
A Dzhamay, H Sakai, T Takenawa
arXiv preprint arXiv:1302.2972, 2013
21*2013
Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach
A Dzhamay, G Filipuk, A Stokes
Studies in Applied Mathematics 148 (4), 1656-1702, 2022
162022
Geometric Analysis of Reductions from Schlesinger Transformations to Difference Painlev\'e Equations
A Dzhamay, T Takenawa
arXiv preprint arXiv:1408.3778, 2014
132014
Different Hamiltonians for differential Painlevé equations and their identification using a geometric approach
A Dzhamay, G Filipuk, A Ligȩza, A Stokes
Journal of Differential Equations 399, 281-334, 2024
122024
Infinitesimal weak symmetries, of nonlinear differential equations in two independent variables
AV Dzhamay, EM Vorob'Ev
Journal of Physics A: Mathematical and General 27 (16), 5541, 1994
121994
Gap probabilities in the Laguerre unitary ensemble and discrete Painlevé equations
J Hu, A Dzhamay, Y Chen
Journal of Physics A: Mathematical and Theoretical 53 (35), 354003, 2020
112020
On the Lagrangian structure of the discrete isospectral and isomonodromic transformations
A Dzhamay
International Mathematics Research Notices 2008 (9), rnn102-rnn102, 2008
112008
Hamiltonian structure for a differential system from a modified Laguerre weight via the geometry of the modified third Painlevé equation
A Dzhamay, G Filipuk, A Ligȩza, A Stokes
Applied Mathematics Letters 120, 107248, 2021
62021
Real-normalized Whitham hierarchies and the WDVV equations
A Dzhamay
International Mathematics Research Notices 2000 (21), 1103-1130, 2000
62000
On differential systems related to generalized Meixner and deformed Laguerre orthogonal polynomials
A Dzhamay, G Filipuk, A Stokes
Integral Transforms and Special Functions 32 (5-8), 483-492, 2021
52021
-Racah Ensemble and Discrete Painlevé Equation
A Dzhamay, A Knizel
International Mathematics Research Notices 2020 (24), 9797-9843, 2020
52020
On Hamiltonians related to the second Painlevé equation
A Dzhamay, G Filipuk, A Ligȩza, A Stokes
Proceedings of the conference Contemporary Mathematics in Kielce, 24-27, 2020
52020
Factorizations of rational matrix functions with application to discrete isomonodromic transformations and difference Painlevé equations
A Dzhamay
Journal of Physics A: Mathematical and Theoretical 42 (45), 454008, 2009
52009
Recurrence Relations for the Generalized Laguerre and Charlier Orthogonal Polynomials and Discrete Painlevé Equations on the Sakai Surface
X Li, A Dzhamay, G Filipuk, D Zhang
Mathematical Physics, Analysis and Geometry 28 (1), 1-30, 2025
42025
On the recurrence coefficients for the q-Laguerre weight and discrete Painlevé equations
J Hu, A Dzhamay, Y Chen
Journal of Physics A: Mathematical and Theoretical 58 (2), 025211, 2024
32024
On some examples of identifying Painlev\'e equations using the geometry of the Okamoto space of initial conditions
A Dzhamay
arXiv preprint arXiv:2508.12052, 2025
12025
Special solutions of a discrete Painlevé equation for quantum minimal surfaces
PA Clarkson, A Dzhamay, ANW Hone, B Mitchell
Theoretical and Mathematical Physics 224 (2), 1359-1397, 2025
12025
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Articles 1–20