Dr. DAI Dan (代丹)

Research Output

  1. 2020
  2. Published

    On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation

    Dai, D., Xu, S. & Zhang, L., 15 Jul 2020, In : Journal of Differential Equations. 269, 3, p. 2430-2476

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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  3. Published

    On a Ramanujan type entire function and its zeros

    Dai, D., Ismail, M. E. H. & Wang, X., 15 May 2020, In : Journal of Mathematical Analysis and Applications. 485, 2, 123856.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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  4. Published

    Asymptotics of orthogonal polynomials with asymptotic Freud-like weights

    Long, W., Dai, D., Li, Y. & Wang, X., Feb 2020, In : Studies in Applied Mathematics. 144, 2, p. 133-163

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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  5. 2019
  6. Published

    Gaussian Unitary Ensembles with Pole Singularities Near the Soft Edge and a System of Coupled Painlevé XXXIV Equations

    Dai, D., Xu, S. & Zhang, L., Oct 2019, In : Annales Henri Poincare. 20, 10, p. 3313–3364

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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  7. Published

    Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure

    Dai, D., Ismail, M. E. H. & Wang, X., 5 Feb 2019, In : Advances in Mathematics. 343, p. 157-192

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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  8. Published

    Asymptotics of partition functions in a fermionic matrix model and of related q-polynomials

    Dai, D., Ismail, M. E. H. & Wang, X., Jan 2019, In : Studies in Applied Mathematics. 142, 1, p. 91-105

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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  9. Published

    Tracy–Widom Distributions in Critical Unitary Random Matrix Ensembles and the Coupled Painlevé II System

    Xu, S. & Dai, D., Jan 2019, In : Communications in Mathematical Physics. 365, 2, p. 515-567

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 4
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  10. 2018
  11. Published

    On the quasi-Ablowitz–Segur and quasi-Hastings–McLeod solutions of the inhomogeneous Painlevé II equation

    Dai, D. & Hu, W., Oct 2018, In : Random Matrices: Theory and Application. 7, 4, 1840004.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 3
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  12. Published

    Asymptotics of Orthogonal Polynomials and the Painlevé Transcendents

    Dai, D., Feb 2018, Frontiers in Orthogonal Polynomials and q-Series. Nashed, M. Z. & Li, X. (eds.). World Scientific Publishing Co. Pte. Ltd., p. 189-212 (Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes; vol. 1).

    Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)

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  13. Published

    Gap Probability at the Hard Edge for Random Matrix Ensembles with Pole Singularities in the Potential

    Dai, D., Xu, S. & Zhang, L., 2018, In : SIAM Journal on Mathematical Analysis. 50, 2, p. 2233–2279

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 4
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  14. 2017
  15. Published

    Connection formulas for the Ablowitz–Segur solutions of the inhomogeneous Painlevé II equation

    DAI, D. & HU, W., 19 Jun 2017, In : Nonlinearity. 30, 7, p. 2982-3009

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 7
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  16. 2016
  17. Published

    Hankel determinants for a singular complex weight and the first and third Painlevé transcendents

    Xu, S., Dai, D. & Zhao, Y., May 2016, In : Journal of Approximation Theory. 205, p. 64-92

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 2
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  18. 2015
  19. Published

    The Selected Works of Roderick S C Wong

    WONG, S. C. R., DAI, D. (ed.), DAI, H. (ed.), YANG, T. (ed.) & ZHOU, D. (ed.), Sep 2015, World Scientific Publishing Co.

    Research output: Scholarly Books, Monographs, Reports and Case Studies (RGC: 11, 13, 14, 48, 49)14_Edited book (Editor)

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  20. Published

    Asymptotics for Laguerre polynomials with large order and parameters

    Dai, D., Ismailb, M. E. H. & Wang, J., May 2015, In : Journal of Approximation Theory. 193, p. 4 - 19

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 2
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  21. Published

    Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

    Xu, S., Dai, D. & Zhao, Y., Apr 2015, In : Journal of Approximation Theory. 192, p. 1-8

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 12
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  22. Published

    Uniform asymptotics of orthogonal polynomials arising from Coherent states

    Dai, D., Hu, W. & Wang, X., 2015, In : Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 11, A070.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 3
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  23. 2014
  24. Published

    Critical Edge Behavior and the Bessel to Airy Transition in the Singularly Perturbed Laguerre Unitary Ensemble

    Xu, S., Dai, D. & Zhao, Y., Dec 2014, In : Communications in Mathematical Physics. 332, 3, p. 1257-1296

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 25
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  25. Published

    Plancherel-Rotach Asymptotic Expansion for Some Polynomials from Indeterminate Moment Problems

    Dai, D., Ismail, M. E. H. & Wang, X., Aug 2014, In : Constructive Approximation. 40, 1, p. 61-104

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 11
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  26. Published

    Existence and uniqueness of tronquée solutions of the third and fourth Painlevé equations

    Lin, Y., Dai, D. & Tibboel, P., Feb 2014, In : Nonlinearity. 27, 2, p. 171-186

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 5
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  27. Published

    Asymptotics of the partition function of a Laguerre-type random matrix model

    Zhao, Y., Cao, L. H. & Dai, D., Jan 2014, In : Journal of Approximation Theory. 178, p. 64-90

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

    Scopus citations: 3
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