Painlevé V and a Pollaczek–Jacobi type orthogonal polynomials Y Chen, D Dai Journal of Approximation Theory 162 (12), 2149-2167, 2010 | 55 | 2010 |
Painlevé VI and Hankel determinants for the generalized Jacobi weight D Dai, L Zhang Journal of Physics A: Mathematical and Theoretical 43 (5), 055207, 2010 | 55 | 2010 |
Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble SX Xu, D Dai, YQ Zhao Communications in Mathematical Physics 332, 1257-1296, 2014 | 48 | 2014 |
Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight SX Xu, D Dai, YQ Zhao Journal of Approximation Theory 192, 1-18, 2015 | 39 | 2015 |
Painlevé IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight D Dai, ABJ Kuijlaars Studies in Applied Mathematics 122 (1), 29-83, 2009 | 30 | 2009 |
Global asymptotics of Krawtchouk polynomials–a Riemann-Hilbert approach D Dai, R Wong Chinese Annals of Mathematics, Series B 28 (1), 1-34, 2007 | 28 | 2007 |
Tracy–Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system SX Xu, D Dai Communications in Mathematical Physics 365, 515-567, 2019 | 23 | 2019 |
On the deformed Pearcey determinant D Dai, SX Xu, L Zhang Advances in Mathematics 400, 108291, 2022 | 21 | 2022 |
Asymptotics of Fredholm determinant associated with the Pearcey kernel D Dai, SX Xu, L Zhang Communications in Mathematical Physics 382 (3), 1769-1809, 2021 | 20 | 2021 |
On tronquée solutions of the first Painlevé hierarchy D Dai, L Zhang Journal of Mathematical Analysis and Applications 368 (2), 393-399, 2010 | 19 | 2010 |
Connection formulas for the Ablowitz-Segur solutions of the inhomogeneous Painlev\'e II equation D Dai, W Hu arXiv preprint arXiv:1611.05285, 2016 | 16 | 2016 |
Plancherel–Rotach asymptotic expansion for some polynomials from indeterminate moment problems D Dai, MEH Ismail, XS Wang Constructive Approximation 40, 61-104, 2014 | 14 | 2014 |
Existence and uniqueness of tronquée solutions of the third and fourth Painlevé equations Y Lin, D Dai, P Tibboel Nonlinearity 27 (2), 171, 2014 | 13 | 2014 |
Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential D Dai, SX Xu, L Zhang SIAM Journal on Mathematical Analysis 50 (2), 2233-2279, 2018 | 12 | 2018 |
Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations D Dai, SX Xu, L Zhang Annales Henri Poincaré 20, 3313-3364, 2019 | 11 | 2019 |
Hankel determinants for a singular complex weight and the first and third Painlevé transcendents SX Xu, D Dai, YQ Zhao Journal of Approximation Theory 205, 64-92, 2016 | 10 | 2016 |
On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation D Dai, SX Xu, L Zhang Journal of Differential Equations 269 (3), 2430-2476, 2020 | 8 | 2020 |
Doubly infinite Jacobi matrices revisited: resolvent and spectral measure D Dai, MEH Ismail, XS Wang Advances in Mathematics 343, 157-192, 2019 | 8 | 2019 |
Gap probability for the hard edge Pearcey process D Dai, SX Xu, L Zhang Annales Henri Poincaré 24 (6), 2067-2136, 2023 | 7 | 2023 |
Uniform asymptotics of orthogonal polynomials arising from coherent states D Dai, W Hu, XS Wang SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11, 070, 2015 | 7 | 2015 |