Dr. DAI Dan (代丹博士) PhD – City University of Hong Kong



Associate Professor


Contact Information Office: Y6518Yeung Building
Phone: +852 34425995
Fax: +852 34420250
Email: dandai@cityu.edu.hk

Research Interests Asymptotic Analysis
Orthogonal Polynomials and Special Functions
Integrable systems
Random Matrix Theory
Riemann-Hilbert Problems



Dr. Dan Dai received his BSc from Fudan University in 2002 and PhD from City University of Hong Kong in 2006. Before joining City University, he worked as a postdoctoral fellow at Katholieke Universiteit Leuven, Belgium. His major research interests include asymptotic analysis, orthogonal polynomials, special functions, integrable systems, random matrix theory, and Riemann-Hilbert problems.
For more information, please see:CityU Scholar
Google Scholar Profile
ORCID iD
Scopus Author ID



Selected Publications D. Dai, S.-X. Xu and L. Zhang, Asymptotics of Fredholm determinant associated with the Pearcey kernel, Communications in Mathematical Physics, 382 (2021), 1769-1809.
S.-X. Xu and D. Dai, Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system, Communications in Mathematical Physics, 365 (2019), no. 2, 515-567.
D. Dai, M.E.H. Ismail and X.-S. Wang, Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure, Advances in Mathematics, 343 (2019), 157-192.
D. Dai, S.-X. Xu and L. Zhang, Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential, SIAM Journal on Mathematical Analysis, 50 (2018), no. 2, 2233-2279.
S.-X. Xu, D. Dai and Y.-Q. Zhao, Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble, Communications in Mathematical Physics, 332 (2014), no. 3, 1257-1296.
D. Dai, M.E.H. Ismail and X.-S. Wang, Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems, Constructive Approximation, 40 (2014), no. 1, 61-104.
Y. Lin, D. Dai and P. Tibboel, Existence and uniqueness of tronquée solutions of the third and fourth Painlevé equations, Nonlinearity, 27 (2014), no. 2, 171-186.
D. Dai and A.B.J. Kuijlaars, Painlevé IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight, Studies in Applied Mathematics, 122 (2009), no. 1, 29-83.



Last update date : 13 Jan 2022