Author

Dan-Dan Dai

Department of Mathematics, City University of Hong Kong - Cited by 424 - Asymptotic Analysis - Riemann-Hilbert Problems - Random Matrix Theory - Orthogonal Polynomials - Special Functions

Biography

Dan-Dan Dai is affiliated to Wenzhou Medical College. He is a recipient of many awards and grants for his valuable contributions and discoveries in major area of subject research. His international experience includes various programs, contributions and participation in different countries for diverse fields of study.  His research interests reflect in his wide range of publications in various national and international journals.  
Title
Cited by
Year
Painlevé VI and Hankel determinants for the generalized Jacobi weight
D Dai, L ZhangJournal of Physics A: Mathematical and Theoretical 43 (5), 055207, 2010201
47
2010
Painlevé V and a Pollaczek–Jacobi type orthogonal polynomials
Y Chen, D DaiJournal of Approximation Theory 162 (12), 2149-2167, 2010201
47
2010
Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble
SX Xu, D Dai, YQ ZhaoCommunications in Mathematical Physics 332, 1257-1296, 2014201
45
2014
Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight
SX Xu, D Dai, YQ ZhaoJournal of Approximation Theory 192, 1-18, 2015201
33
2015
Painlevé IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight
D Dai, ABJ KuijlaarsStudies in Applied Mathematics 122 (1), -83, 2009200
29
2009
Global asymptotics of Krawtchouk polynomials–a Riemann-Hilbert approach
D Dai, R WongChinese Annals of Mathematics, Series B (1), 1-34, 2007200
28
2007
Tracy–Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system
SX Xu, D DaiCommunications in Mathematical Physics 365, 515-567, 202
19
2019
On the deformed Pearcey determinant
D Dai, SX Xu, L ZhangAdvances in Mathematics 400, 108291, 2022202
18
2022
On tronquée solutions of the first Painlevé hierarchy
D Dai, L ZhangJournal of Mathematical Analysis and Applications 368 (2), 393-399, 2010201
18
2010
Connection formulas for the Ablowitz–Segur solutions of the inhomogeneous Painlevé II equation
D Dai, W HuNonlinearity 30 (7), 2982, 2017201
15
2017
Plancherel–Rotach asymptotic expansion for some polynomials from indeterminate moment problems
D Dai, MEH Ismail, XS WangConstructive Approximation 40, 61-104, 202
14
2014
Asymptotics of Fredholm determinant associated with the Pearcey kernel
D Dai, SX Xu, L ZhangCommunications in Mathematical Physics 382, 1769-1809, 2021202
13
2021
Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential
D Dai, SX Xu, L ZhangSIAM Journal on Mathematical Analysis 50 (2), 2233-2279, 2018201
11
2018
Hankel determinants for a singular complex weight and the first and third Painlevé transcendents
SX Xu, D Dai, YQ ZhaoJournal of Approximation Theory 205, 64-92, 2016201
10
2016
Existence and uniqueness of tronquée solutions of the third and fourth Painlevé equations
Y Lin, D Dai, P TibboelNonlinearity 27 (2), 171, 2014201
10
2014
Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations
D Dai, SX Xu, L ZhangAnnales Henri Poincaré 20, 3313-3364, 20120
9
2019
Uniform asymptotics of orthogonal polynomials arising from coherent states
D Dai, W Hu, XS WangSIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11, 00, 2015201
7
2015
Global asymptotics for Laguerre polynomials with large negative parameter—a Riemann-Hilbert approach
D Dai, R WongThe Ramanujan Journal 16 (2), 181-209, 2008200
7
2008
Doubly infinite Jacobi matrices revisited: resolvent and spectral measure
D Dai, MEH Ismail, XS WangAdvances in Mathematics 343, 157-192, 2019201
6
2019
Asymptotics of the partition function of a Laguerre-type random matrix model
Y Zhao, LH Cao, D DaiJournal of Approximation Theory 178, 4-90, 2014201
6
2014

Referred From: https://scholar.google.com/citations?user=XFIud5IAAAAJ&hl=en

Cited by
Citations 424
h-index 12
i10-index 15
Open Access Journals