Prof. DAI Dan (代丹)

Research Output

  1. 2024
  2. Published

    Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region

    Dai, D., Yao, L. & Zhai, Y., Nov 2024, In: Analysis and Applications. 22, 8, p. 1353-1387

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 1
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  3. Published

    From continuous to discrete: weak limit of normalized Askey–Wilson measure

    Dai, D., Ismail, M. E. H. & Wang, X.-S., May 2024, In: Ramanujan Journal. 64, 1, p. 227-252

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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  4. Published

    ASYMPTOTICS AND TOTAL INTEGRALS OF THE P2I TRITRONQUÉE SOLUTION AND ITS HAMILTONIAN

    DAI, D. & LONG, W.-G., 2024, In: SIAM Journal on Mathematical Analysis. 56, 4, p. 5350-5371

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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  5. 2023
  6. Published

    Gap Probability for the Hard Edge Pearcey Process

    Dai, D., Xu, S.-X. & Zhang, L., Jun 2023, In: Annales Henri Poincare. 24, 6, p. 2067–2136

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 6
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  7. Published

    The distribution function for the maximal height of N non-intersecting Bessel paths

    Dai, D. & Yao, L., May 2023, In: Ramanujan Journal. 61, 1, p. 111–134

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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  8. 2022
  9. Published

    Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel

    Dai, D. & Zhai, Y., Nov 2022, In: Studies in Applied Mathematics. 149, 4, p. 1032-1085

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 4
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  10. Published

    Uniform asymptotics for the discrete Laguerre polynomials

    Dai, D. & Yao, L., Sept 2022, In: Analysis and Applications. 20, 5, p. 1025-1067

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 1
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  11. Published

    On the deformed Pearcey determinant

    Dai, D., Xu, S.-X. & Zhang, L., 14 May 2022, In: Advances in Mathematics. 400, 108291.

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 12
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  12. Published

    Applications in random matrix theory of a PIII’ 𝜏-function sequence from Okamoto’s Hamiltonian formulation

    Dai, D., Forrester , P. J. & Xu, S.-X., Apr 2022, In: Random Matrices: Theory and Application. 11, 2, 2250014.

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 2
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  13. 2021
  14. Published

    Asymptotics of Fredholm Determinant Associated with the Pearcey Kernel

    Dai, D., Xu, S.-X. & Zhang, L., Mar 2021, In: Communications in Mathematical Physics. 382, p. 1769-1809

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 14
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  15. 2020
  16. Published

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

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

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 5
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  17. Published

    On a Ramanujan type entire function and its zeros

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

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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  18. Published

    Asymptotics of orthogonal polynomials with asymptotic Freud-like weights

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

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 1
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  19. 2019
  20. Published

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

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

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 7
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  21. Published

    Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure

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

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 8
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  22. Published

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

    Xu, S.-X. & Dai, D., 30 Jan 2019, In: Communications in Mathematical Physics. 365, 2, p. 515-567

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 15
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  23. Published

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

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

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 1
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  24. 2018
  25. 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 ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 3
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  26. 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 PUBL 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 WorksRGC 12 - Chapter in an edited book (Author)

    Scopus citations: 1
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  27. Published

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

    DAI, D., XU, S.-X. & ZHANG, L., 2018, In: SIAM Journal on Mathematical Analysis. 50, 2, p. 2233–2279

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 9
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