| 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 | 39 | 2017 |
| 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 | 28 | 2020 |
| 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 | 22 | 2018 |
| 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 | 16 | 2022 |
| Geometric Analysis of Reductions from Schlesinger Transformations to Difference Painlev\'e Equations A Dzhamay, T Takenawa arXiv preprint arXiv:1408.3778, 2014 | 13 | 2014 |
| 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 | 12 | 2024 |
| 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 | 12 | 1994 |
| 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 | 11 | 2020 |
| On the Lagrangian structure of the discrete isospectral and isomonodromic transformations A Dzhamay International Mathematics Research Notices 2008 (9), rnn102-rnn102, 2008 | 11 | 2008 |
| 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 | 6 | 2021 |
| Real-normalized Whitham hierarchies and the WDVV equations A Dzhamay International Mathematics Research Notices 2000 (21), 1103-1130, 2000 | 6 | 2000 |
| 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 | 5 | 2021 |
| -Racah Ensemble and Discrete Painlevé Equation A Dzhamay, A Knizel International Mathematics Research Notices 2020 (24), 9797-9843, 2020 | 5 | 2020 |
| 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 | 5 | 2020 |
| 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 | 5 | 2009 |
| 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 | 4 | 2025 |
| 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 | 3 | 2024 |
| 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 | 1 | 2025 |
| 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 | 1 | 2025 |