Prof. DAI Dan (代丹)
Research Output
- 2024
- 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. 1353-1387Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 1 - 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. 227-252Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
- 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. 5350-5371Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
- 2023
- 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. 2067–2136Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 6 - 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. 111–134Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
- 2022
- 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. 1032-1085Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 4 - Published
Uniform asymptotics for the discrete Laguerre polynomials
Dai, D. & Yao, L., Sept 2022, In: Analysis and Applications. 20, 5, p. 1025-1067Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 1 - 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 Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 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 Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 2 - 2021
- 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. 1769-1809Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 14 - 2020
- 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. 2430-2476Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 5 - 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 Reviews › RGC 21 - Publication in refereed journal › peer-review
- 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. 133-163Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 1 - 2019
- 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. 3313–3364Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 7 - 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. 157-192Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 8 - 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. 515-567Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 15 - 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. 91-105Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 1 - 2018
- 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 - Publication in refereed journal › peer-review
Scopus citations: 3 - 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 Works › RGC 12 - Chapter in an edited book (Author)
Scopus citations: 1 - 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. 2233–2279Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 9