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Dan Dai
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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
532010
Painlevé V and a Pollaczek–Jacobi type orthogonal polynomials
Y Chen, D Dai
Journal of Approximation Theory 162 (12), 2149-2167, 2010
522010
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
472014
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
392015
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
292009
Global asymptotics of Krawtchouk polynomials–a Riemann-Hilbert approach
D Dai, R Wong
Chinese Annals of Mathematics, Series B 28 (1), 1-34, 2007
282007
On the deformed Pearcey determinant
D Dai, SX Xu, L Zhang
Advances in Mathematics 400, 108291, 2022
222022
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
222019
Asymptotics of Fredholm determinant associated with the Pearcey kernel
D Dai, SX Xu, L Zhang
Communications in Mathematical Physics 382 (3), 1769-1809, 2021
202021
On tronquée solutions of the first Painlevé hierarchy
D Dai, L Zhang
Journal of Mathematical Analysis and Applications 368 (2), 393-399, 2010
182010
Connection formulas for the Ablowitz–Segur solutions of the inhomogeneous Painlevé II equation
D Dai, W Hu
Nonlinearity 30 (7), 2982, 2017
152017
Plancherel–Rotach asymptotic expansion for some polynomials from indeterminate moment problems
D Dai, MEH Ismail, XS Wang
Constructive Approximation 40, 61-104, 2014
142014
Existence and uniqueness of tronquée solutions of the third and fourth Painlevé equations
Y Lin, D Dai, P Tibboel
Nonlinearity 27 (2), 171, 2014
122014
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
112018
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
102016
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
92019
Doubly infinite Jacobi matrices revisited: resolvent and spectral measure
D Dai, MEH Ismail, XS Wang
Advances in Mathematics 343, 157-192, 2019
82019
Gap probability for the hard edge Pearcey process
D Dai, SX Xu, L Zhang
Annales Henri Poincaré 24 (6), 2067-2136, 2023
72023
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
72020
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
72015
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Articles 1–20